%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT065+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n018.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 79.90s 21.53s
% Output : Refutation 82.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 1307 ( 180 unt; 0 typ; 6 def)
% Number of atoms : 4747 (1407 equ; 0 cnn)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 12322 (2080 ~;2167 |; 191 &;7798 @)
% ( 7 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 15 con; 0-3 aty)
% Number of variables : 1129 ( 2 ^;1119 !; 2 ?;1129 :)
% ( 0 !>; 0 ?*; 0 @-; 6 @+)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(robust_position_decl,type,
robust_position: $i > $o ).
thf(fragile_position_decl,type,
fragile_position: $i > $o ).
thf(has_endowment_decl,type,
has_endowment: $i > $o ).
thf(age_decl,type,
age: $i > $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(sigma_decl,type,
sigma: $i ).
thf(tau_decl,type,
tau: $i ).
thf(eta_decl,type,
eta: $i ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(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(dissimilar_decl,type,
dissimilar: $i > $i > $i > $o ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(greater_or_equal_decl,type,
greater_or_equal: $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 > $i ).
thf(sk6_decl,type,
sk6: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i,D: $i] :
( ( ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ( A @ has_endowment )
& ( ( A @ fragile_position )
| ( A @ robust_position ) )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( eta @ ( C @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( C @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( C @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( B @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( B @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( B @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( A @ ( sk1 @ age ) )
= zero )
& ( sk1 @ has_endowment )
& ( ( sk1 @ fragile_position )
| ( sk1 @ robust_position ) )
& ( sk1 @ organization ) )
=> ( ( ( B @ ( sk1 @ hazard_of_mortality ) )
= ( A @ ( sk1 @ hazard_of_mortality ) ) )
& ( B @ ( sk1 @ hazard_of_mortality ) @ ( C @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( eta @ ( B @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( B @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( B @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( sk2 @ ( sk1 @ age ) )
= zero )
& ( sk1 @ has_endowment )
& ( ( sk1 @ fragile_position )
| ( sk1 @ robust_position ) )
& ( sk1 @ organization ) )
=> ( ( ( A @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( A @ ( sk1 @ hazard_of_mortality ) @ ( B @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
~ ( ( ( eta @ ( A @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( A @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( A @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( sk2 @ ( sk1 @ age ) )
= zero )
& ( sk1 @ has_endowment )
& ( ( sk1 @ fragile_position )
| ( sk1 @ robust_position ) )
& ( sk1 @ organization ) )
=> ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) ) ) ) ).
thf(5,axiom,
very_low @ ( low @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).
thf(55,plain,
very_low @ ( low @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smaller ) )
<=> ( A @ ( B @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
thf(110,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ greater ) )
=> ( B @ ( A @ smaller ) ) )
& ( ( B @ ( A @ smaller ) )
=> ( A @ ( B @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(111,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)],[110]) ).
thf(112,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)],[111]) ).
thf(114,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(cnfConj,[status(thm)],[112]) ).
thf(115,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[114]) ).
thf(5508,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,115]) ).
thf(5509,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[5508]) ).
thf(5510,plain,
low @ ( very_low @ smaller ),
inference(pattern_uni,[status(thm)],[5509:[bind(A,$thf( very_low )),bind(B,$thf( low ))]]) ).
thf(13,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(100,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)],[13]) ).
thf(101,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)],[100]) ).
thf(102,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)],[101]) ).
thf(104,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(cnfConj,[status(thm)],[102]) ).
thf(107,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[104]) ).
thf(5585,plain,
! [B: $i,A: $i] :
( ( ( low @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5510,107]) ).
thf(5586,plain,
! [B: $i,A: $i] :
( ( ( low @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5585]) ).
thf(5587,plain,
low @ ( very_low @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5586:[bind(A,$thf( very_low )),bind(B,$thf( low ))]]) ).
thf(103,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(cnfConj,[status(thm)],[102]) ).
thf(106,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[103]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ( A @ has_endowment )
& ( ( A @ fragile_position )
| ( A @ robust_position ) )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ( A @ has_endowment )
& ( ( A @ fragile_position )
| ( A @ robust_position ) )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(19,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ( A @ has_endowment )
& ( ( A @ fragile_position )
| ( A @ robust_position ) )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
( ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) ) )
& ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( zero @ ( eta @ greater ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( sk2 @ ( sk1 @ age ) )
= zero )
& ( sk1 @ has_endowment )
& ( ( sk1 @ fragile_position )
| ( sk1 @ robust_position ) )
& ( sk1 @ organization ) ),
inference(cnf,[status(esa)],[19]) ).
thf(31,plain,
( ( sk2 @ ( sk1 @ age ) )
= zero ),
inference(cnfConj,[status(thm)],[20]) ).
thf(35,plain,
( ( sk2 @ ( sk1 @ age ) )
= zero ),
inference(lifteq,[status(thm)],[31]) ).
thf(33,plain,
tau @ ( sk4 @ ( sk1 @ age ) @ greater ),
inference(cnfConj,[status(thm)],[20]) ).
thf(247,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= ( sk2 @ ( sk1 @ age ) ) )
| ( tau @ ( zero @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[35,33]) ).
thf(251,plain,
( ( sk4 != sk2 )
| ( sk1 != sk1 )
| ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[247]) ).
thf(255,plain,
( ( sk4 != sk2 )
| ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[251]) ).
thf(28,plain,
zero @ ( tau @ greater ),
inference(cnfConj,[status(thm)],[20]) ).
thf(7,axiom,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(58,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(59,plain,
~ ? [A: $i,B: $i] :
( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(miniscope,[status(thm)],[58]) ).
thf(60,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[59]) ).
thf(1479,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,60]) ).
thf(1480,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1479]) ).
thf(1481,plain,
~ ( tau @ ( zero @ greater ) ),
inference(pattern_uni,[status(thm)],[1480:[bind(A,$thf( tau )),bind(B,$thf( zero ))]]) ).
thf(1631,plain,
( ( sk4 != sk2 )
| $false ),
inference(rewrite,[status(thm)],[255,1481]) ).
thf(1632,plain,
sk4 != sk2,
inference(simp,[status(thm)],[1631]) ).
thf(3644,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1632]) ).
thf(3645,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk4 @ ( A @ smaller ) )
| ~ ( sk4 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3644:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(4554,plain,
( ( sk4 @ ( sk2 @ smaller ) )
| ~ ( sk4 @ ( sk2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3645]) ).
thf(9899,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( low @ ( very_low @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5587,4554]) ).
thf(9900,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( low @ ( very_low @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9899]) ).
thf(9929,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9900]) ).
thf(32,plain,
zero @ ( sigma @ greater ),
inference(cnfConj,[status(thm)],[20]) ).
thf(11,axiom,
low @ ( mod1 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
thf(91,plain,
low @ ( mod1 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1461,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[91,60]) ).
thf(1462,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1461]) ).
thf(1463,plain,
~ ( mod1 @ ( low @ greater ) ),
inference(pattern_uni,[status(thm)],[1462:[bind(A,$thf( mod1 )),bind(B,$thf( low ))]]) ).
thf(1562,plain,
( ( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( sigma @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,1463]) ).
thf(1563,plain,
( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[1562]) ).
thf(1586,plain,
( ( mod1 != zero )
| ( low != sigma ) ),
inference(simp,[status(thm)],[1563]) ).
thf(15,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(116,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(117,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(cnf,[status(esa)],[116]) ).
thf(118,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[117]) ).
thf(25,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ),
inference(cnfConj,[status(thm)],[20]) ).
thf(36,plain,
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(lifteq,[status(thm)],[25]) ).
thf(131,plain,
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[36]) ).
thf(142,plain,
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[131]) ).
thf(281,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,142]) ).
thf(282,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[281:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(23,plain,
eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ),
inference(cnfConj,[status(thm)],[20]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ has_endowment )
<=> ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
thf(61,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) )
=> ( A @ has_endowment ) )
& ( ( A @ has_endowment )
=> ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(62,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)],[61]) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ has_endowment )
| ( D @ sk6 @ ( D @ has_immunity ) )
| ~ ( D @ sk5 @ ( D @ has_immunity ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( eta @ ( D @ sk6 @ ( D @ age ) @ greater ) )
| ~ ( D @ sk5 @ ( D @ has_immunity ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( D @ sk6 @ ( D @ has_immunity ) )
| ( eta @ ( D @ sk5 @ ( D @ age ) @ smaller_or_equal ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( eta @ ( D @ sk6 @ ( D @ age ) @ greater ) )
| ( eta @ ( D @ sk5 @ ( 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)],[62]) ).
thf(65,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
inference(cnfConj,[status(thm)],[63]) ).
thf(1969,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) ) )
| ( B @ ( A @ has_immunity ) )
| ~ $true
| ~ ( A @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[23,65]) ).
thf(1970,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ has_endowment ) ),
inference(simp,[status(thm)],[1969]) ).
thf(1971,plain,
( ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[1970:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(29,plain,
sk1 @ has_endowment,
inference(cnfConj,[status(thm)],[20]) ).
thf(2994,plain,
( ( sk3 @ ( sk1 @ has_immunity ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1971,29]) ).
thf(2995,plain,
sk3 @ ( sk1 @ has_immunity ),
inference(simp,[status(thm)],[2994]) ).
thf(21,plain,
sk1 @ organization,
inference(cnfConj,[status(thm)],[20]) ).
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(37,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(38,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)],[37]) ).
thf(39,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)],[38]) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= very_low )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[39]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ),
inference(lifteq,[status(thm)],[43]) ).
thf(1146,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ $true
| ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ),
inference(paramod_ordered,[status(thm)],[21,51]) ).
thf(1147,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ~ ( B @ ( A @ has_immunity ) )
| ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ),
inference(simp,[status(thm)],[1146]) ).
thf(1148,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ has_immunity ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= very_low ) ),
inference(pattern_uni,[status(thm)],[1147:[bind(A,$thf( sk1 ))]]) ).
thf(1182,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ has_immunity ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= very_low ) ),
inference(simp,[status(thm)],[1148]) ).
thf(3003,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ has_immunity ) )
!= ( A @ ( sk1 @ has_immunity ) ) )
| ~ $true
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= very_low ) ),
inference(paramod_ordered,[status(thm)],[2995,1182]) ).
thf(3004,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ has_immunity ) )
!= ( A @ ( sk1 @ has_immunity ) ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= very_low ) ),
inference(simp,[status(thm)],[3003]) ).
thf(3005,plain,
( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
= very_low ),
inference(pattern_uni,[status(thm)],[3004:[bind(A,$thf( sk3 ))]]) ).
thf(14885,plain,
! [A: $i] :
( ~ ( very_low @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[282,3005]) ).
thf(4,axiom,
low @ ( mod2 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
thf(54,plain,
low @ ( mod2 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1521,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,60]) ).
thf(1522,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1521]) ).
thf(1523,plain,
~ ( mod2 @ ( low @ greater ) ),
inference(pattern_uni,[status(thm)],[1522:[bind(A,$thf( mod2 )),bind(B,$thf( low ))]]) ).
thf(2081,plain,
( ( ( mod2 @ ( low @ greater ) )
!= ( very_low @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,1523]) ).
thf(2082,plain,
( ( mod2 @ ( low @ greater ) )
!= ( very_low @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[2081]) ).
thf(2084,plain,
( ( mod2 != very_low )
| ( low != low ) ),
inference(simp,[status(thm)],[2082]) ).
thf(2094,plain,
mod2 != very_low,
inference(simp,[status(thm)],[2084]) ).
thf(18,axiom,
mod2 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).
thf(130,plain,
mod2 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(5505,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,115]) ).
thf(5506,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[5505]) ).
thf(5507,plain,
high @ ( mod2 @ smaller ),
inference(pattern_uni,[status(thm)],[5506:[bind(A,$thf( mod2 )),bind(B,$thf( high ))]]) ).
thf(5559,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5507,107]) ).
thf(5560,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5559]) ).
thf(5561,plain,
high @ ( mod2 @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5560:[bind(A,$thf( mod2 )),bind(B,$thf( high ))]]) ).
thf(34,plain,
sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ),
inference(cnfConj,[status(thm)],[20]) ).
thf(3986,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)],[34,106]) ).
thf(3987,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(simp,[status(thm)],[3986]) ).
thf(3988,plain,
( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(pattern_uni,[status(thm)],[3987:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(20027,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( eta @ ( sigma @ smaller_or_equal ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[3988,23]) ).
thf(20028,plain,
( ( eta @ ( sigma @ smaller_or_equal ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[20027:[]]) ).
thf(113,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(cnfConj,[status(thm)],[112]) ).
thf(21038,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( eta @ ( sigma @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[20028,113]) ).
thf(21039,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( eta @ ( sigma @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[21038]) ).
thf(21040,plain,
( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
| ( eta @ ( sigma @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[21039:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(1533,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,60]) ).
thf(1534,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1533]) ).
thf(1535,plain,
~ ( low @ ( very_low @ greater ) ),
inference(pattern_uni,[status(thm)],[1534:[bind(A,$thf( low )),bind(B,$thf( very_low ))]]) ).
thf(2267,plain,
( ( ( very_low @ ( low @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,1535]) ).
thf(2268,plain,
( ( very_low @ ( low @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[2267]) ).
thf(2272,plain,
( ( low != very_low )
| ( low != very_low ) ),
inference(simp,[status(thm)],[2268]) ).
thf(2280,plain,
low != very_low,
inference(simp,[status(thm)],[2272]) ).
thf(3483,plain,
! [B: $i,A: $i] :
( ( A != low )
| ( B != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,2280]) ).
thf(3484,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( low @ smaller ) )
| ~ ( A @ ( low @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3483:[bind(A,$thf( low ))]]) ).
thf(4502,plain,
( ( very_low @ ( low @ smaller ) )
| ~ ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3484]) ).
thf(13635,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4502,113]) ).
thf(13636,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[13635]) ).
thf(13637,plain,
( ( low @ ( very_low @ greater ) )
| ~ ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[13636:[bind(A,$thf( low )),bind(B,$thf( very_low ))]]) ).
thf(20457,plain,
( $false
| ~ ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[13637,1535]) ).
thf(20458,plain,
~ ( very_low @ ( low @ smaller_or_equal ) ),
inference(simp,[status(thm)],[20457]) ).
thf(20503,plain,
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( very_low @ ( low @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34,20458]) ).
thf(20504,plain,
( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[20503]) ).
thf(20544,plain,
( ( very_low != sigma )
| ( ( sk3 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[20504]) ).
thf(26,plain,
tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ),
inference(cnfConj,[status(thm)],[20]) ).
thf(467,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( tau @ ( sk3 @ ( A @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,26]) ).
thf(468,plain,
! [A: $i] :
( ( tau @ ( sk3 @ ( A @ age ) @ smaller_or_equal ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[467:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(16,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(119,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)],[16]) ).
thf(120,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)],[119]) ).
thf(121,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)],[120]) ).
thf(122,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(cnfConj,[status(thm)],[121]) ).
thf(125,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[122]) ).
thf(5750,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,2094]) ).
thf(5751,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod2 @ greater ) )
| ~ ( A @ ( mod2 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5750:[bind(A,$thf( mod2 ))]]) ).
thf(7072,plain,
( ( very_low @ ( mod2 @ greater ) )
| ~ ( very_low @ ( mod2 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5751]) ).
thf(351,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( A @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,33]) ).
thf(352,plain,
! [A: $i] :
( ( A @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ( tau @ ( A @ greater ) )
| ( tau @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[351:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(27,plain,
zero @ ( eta @ greater ),
inference(cnfConj,[status(thm)],[20]) ).
thf(1515,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( eta @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,60]) ).
thf(1516,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( eta @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1515]) ).
thf(1517,plain,
~ ( eta @ ( zero @ greater ) ),
inference(pattern_uni,[status(thm)],[1516:[bind(A,$thf( eta )),bind(B,$thf( zero ))]]) ).
thf(2019,plain,
( ( ( zero @ ( eta @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,1517]) ).
thf(2020,plain,
( ( zero @ ( eta @ greater ) )
!= ( eta @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[2019]) ).
thf(2034,plain,
( ( eta != zero )
| ( eta != zero ) ),
inference(simp,[status(thm)],[2020]) ).
thf(2040,plain,
eta != zero,
inference(simp,[status(thm)],[2034]) ).
thf(2045,plain,
! [B: $i,A: $i] :
( ( B != eta )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,2040]) ).
thf(2046,plain,
! [A: $i] :
( ( A != zero )
| ( eta @ ( A @ greater ) )
| ( eta @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[2045:[bind(A,$thf( A )),bind(B,$thf( eta ))]]) ).
thf(2048,plain,
( ( eta @ ( zero @ greater ) )
| ( eta @ ( zero @ smaller ) ) ),
inference(simp,[status(thm)],[2046]) ).
thf(4710,plain,
( $false
| ( eta @ ( zero @ smaller ) ) ),
inference(rewrite,[status(thm)],[2048,1517]) ).
thf(4711,plain,
eta @ ( zero @ smaller ),
inference(simp,[status(thm)],[4710]) ).
thf(4990,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4711,107]) ).
thf(4991,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[4990]) ).
thf(4992,plain,
eta @ ( zero @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[4991:[bind(A,$thf( zero )),bind(B,$thf( eta ))]]) ).
thf(10,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(88,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( B @ ( A @ is_aligned ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnfConj,[status(thm)],[121]) ).
thf(126,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(7547,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,126]) ).
thf(7548,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7547]) ).
thf(7549,plain,
mod2 @ ( high @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7548:[bind(A,$thf( high )),bind(B,$thf( mod2 ))]]) ).
thf(22,plain,
sigma @ ( sk4 @ ( sk1 @ age ) @ greater ),
inference(cnfConj,[status(thm)],[20]) ).
thf(17,axiom,
mod1 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).
thf(129,plain,
mod1 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1497,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,60]) ).
thf(1498,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1497]) ).
thf(1499,plain,
~ ( high @ ( mod1 @ greater ) ),
inference(pattern_uni,[status(thm)],[1498:[bind(A,$thf( high )),bind(B,$thf( mod1 ))]]) ).
thf(1828,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,1499]) ).
thf(1829,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[1828]) ).
thf(1855,plain,
( ( high != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[1829]) ).
thf(407,plain,
! [B: $i,A: $i] :
( ( B != low )
| ( A @ ( mod2 @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,54]) ).
thf(408,plain,
! [A: $i] :
( ( A @ ( mod2 @ greater ) )
| ( low @ ( A @ greater ) )
| ( low @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[407:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(307,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( A @ has_endowment )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,29]) ).
thf(308,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[307:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(24,plain,
eta @ ( sk4 @ ( sk1 @ age ) @ greater ),
inference(cnfConj,[status(thm)],[20]) ).
thf(7514,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,126]) ).
thf(7515,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7514]) ).
thf(7516,plain,
eta @ ( sk4 @ ( sk1 @ age ) @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7515:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(66,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(cnfConj,[status(thm)],[63]) ).
thf(74,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(simp,[status(thm)],[66]) ).
thf(2521,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( eta @ ( B @ ( A @ age ) @ greater ) ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ $true
| ~ ( A @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[24,74]) ).
thf(2522,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( eta @ ( B @ ( A @ age ) @ greater ) ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ has_endowment ) ),
inference(simp,[status(thm)],[2521]) ).
thf(2523,plain,
( ~ ( sk4 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[2522:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(3116,plain,
( ~ ( sk4 @ ( sk1 @ has_immunity ) )
| ~ $true ),
inference(rewrite,[status(thm)],[2523,29]) ).
thf(3117,plain,
~ ( sk4 @ ( sk1 @ has_immunity ) ),
inference(simp,[status(thm)],[3116]) ).
thf(3121,plain,
( ( ( sk4 @ ( sk1 @ has_immunity ) )
!= ( sk3 @ ( sk1 @ has_immunity ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2995,3117]) ).
thf(3122,plain,
( ( sk4 @ ( sk1 @ has_immunity ) )
!= ( sk3 @ ( sk1 @ has_immunity ) ) ),
inference(simp,[status(thm)],[3121]) ).
thf(3136,plain,
( ( sk4 != sk3 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[3122]) ).
thf(3138,plain,
sk4 != sk3,
inference(simp,[status(thm)],[3136]) ).
thf(3145,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk3 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,3138]) ).
thf(3146,plain,
! [A: $i] :
( ( A != sk3 )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[3145:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(3148,plain,
( ( sk4 @ ( sk3 @ greater ) )
| ( sk4 @ ( sk3 @ smaller ) ) ),
inference(simp,[status(thm)],[3146]) ).
thf(8881,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk3 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[3148,107]) ).
thf(8882,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk3 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(simp,[status(thm)],[8881]) ).
thf(8883,plain,
( ( sk4 @ ( sk3 @ smaller_or_equal ) )
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[8882:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(1503,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,60]) ).
thf(1504,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1503]) ).
thf(1505,plain,
~ ( sigma @ ( zero @ greater ) ),
inference(pattern_uni,[status(thm)],[1504:[bind(A,$thf( sigma )),bind(B,$thf( zero ))]]) ).
thf(1912,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,1505]) ).
thf(1913,plain,
( ( mod2 @ ( high @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1912]) ).
thf(1924,plain,
( ( mod2 != sigma )
| ( high != zero ) ),
inference(simp,[status(thm)],[1913]) ).
thf(1552,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,1463]) ).
thf(1553,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[1552]) ).
thf(1596,plain,
( ( mod1 != eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[1553]) ).
thf(2100,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,2094]) ).
thf(2101,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod2 @ greater ) )
| ( A @ ( mod2 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[2100:[bind(A,$thf( mod2 ))]]) ).
thf(2104,plain,
( ( very_low @ ( mod2 @ greater ) )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[2101]) ).
thf(1896,plain,
( ( ( zero @ ( sigma @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,1505]) ).
thf(1897,plain,
( ( zero @ ( sigma @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1896]) ).
thf(1922,plain,
( ( sigma != zero )
| ( sigma != zero ) ),
inference(simp,[status(thm)],[1897]) ).
thf(1928,plain,
sigma != zero,
inference(simp,[status(thm)],[1922]) ).
thf(1934,plain,
! [B: $i,A: $i] :
( ( B != sigma )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1928]) ).
thf(1935,plain,
! [A: $i] :
( ( A != zero )
| ( sigma @ ( A @ greater ) )
| ( sigma @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1934:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(1937,plain,
( ( sigma @ ( zero @ greater ) )
| ( sigma @ ( zero @ smaller ) ) ),
inference(simp,[status(thm)],[1935]) ).
thf(3451,plain,
( $false
| ( sigma @ ( zero @ smaller ) ) ),
inference(rewrite,[status(thm)],[1937,1505]) ).
thf(3452,plain,
sigma @ ( zero @ smaller ),
inference(simp,[status(thm)],[3451]) ).
thf(5035,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3452,107]) ).
thf(5036,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5035]) ).
thf(5037,plain,
sigma @ ( zero @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5036:[bind(A,$thf( zero )),bind(B,$thf( sigma ))]]) ).
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(56,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(1824,plain,
( ( ( mod1 @ ( high @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,1499]) ).
thf(1825,plain,
( ( mod1 @ ( high @ greater ) )
!= ( high @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[1824]) ).
thf(1854,plain,
( ( high != mod1 )
| ( high != mod1 ) ),
inference(simp,[status(thm)],[1825]) ).
thf(1861,plain,
high != mod1,
inference(simp,[status(thm)],[1854]) ).
thf(4299,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != mod1 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1861]) ).
thf(4300,plain,
! [A: $i] :
( ( A != mod1 )
| ( A @ ( high @ smaller ) )
| ~ ( A @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4299:[bind(A,$thf( high ))]]) ).
thf(4457,plain,
( ( mod1 @ ( high @ smaller ) )
| ~ ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[4300]) ).
thf(9717,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4457,113]) ).
thf(9718,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9717]) ).
thf(9719,plain,
( ( high @ ( mod1 @ greater ) )
| ~ ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[9718:[bind(A,$thf( high )),bind(B,$thf( mod1 ))]]) ).
thf(19615,plain,
( $false
| ~ ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[9719,1499]) ).
thf(19616,plain,
~ ( mod1 @ ( high @ smaller_or_equal ) ),
inference(simp,[status(thm)],[19615]) ).
thf(19691,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod1 @ ( high @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,19616]) ).
thf(19692,plain,
( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19691]) ).
thf(19722,plain,
( ( mod1 != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[19692]) ).
thf(4253,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( A = B ) ),
inference(paramod_ordered,[status(thm)],[26,106]) ).
thf(4254,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(simp,[status(thm)],[4253]) ).
thf(4255,plain,
( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ age ) )
= tau ) ),
inference(pattern_uni,[status(thm)],[4254:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(3000,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ has_immunity ) )
!= ( B @ ( A @ has_immunity ) ) )
| ~ $true
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[2995,74]) ).
thf(3001,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ has_immunity ) )
!= ( B @ ( A @ has_immunity ) ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(simp,[status(thm)],[3000]) ).
thf(3002,plain,
( ~ ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
| ~ ( sk1 @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[3001:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(23164,plain,
( ~ ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
| ~ $true ),
inference(rewrite,[status(thm)],[3002,29]) ).
thf(23165,plain,
~ ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) ),
inference(simp,[status(thm)],[23164]) ).
thf(23250,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ~ ( eta @ ( tau @ greater ) )
| ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[4255,23165]) ).
thf(23251,plain,
( ~ ( eta @ ( tau @ greater ) )
| ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[23250:[]]) ).
thf(232,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[24,36]) ).
thf(233,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[232]) ).
thf(237,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[233]) ).
thf(12511,plain,
( ( very_low != eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[237,3005]) ).
thf(1914,plain,
( ( ( very_low @ ( low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,1505]) ).
thf(1915,plain,
( ( very_low @ ( low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1914]) ).
thf(1919,plain,
( ( very_low != sigma )
| ( low != zero ) ),
inference(simp,[status(thm)],[1915]) ).
thf(1580,plain,
( ( ( mod1 @ ( low @ greater ) )
!= ( very_low @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,1463]) ).
thf(1581,plain,
( ( mod1 @ ( low @ greater ) )
!= ( very_low @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[1580]) ).
thf(1585,plain,
( ( mod1 != very_low )
| ( low != low ) ),
inference(simp,[status(thm)],[1581]) ).
thf(1599,plain,
mod1 != very_low,
inference(simp,[status(thm)],[1585]) ).
thf(1605,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1599]) ).
thf(1606,plain,
! [A: $i] :
( ( A != very_low )
| ( mod1 @ ( A @ greater ) )
| ( mod1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1605:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(1608,plain,
( ( mod1 @ ( very_low @ greater ) )
| ( mod1 @ ( very_low @ smaller ) ) ),
inference(simp,[status(thm)],[1606]) ).
thf(1527,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,60]) ).
thf(1528,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1527]) ).
thf(1529,plain,
~ ( high @ ( mod2 @ greater ) ),
inference(pattern_uni,[status(thm)],[1528:[bind(A,$thf( high )),bind(B,$thf( mod2 ))]]) ).
thf(2209,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,1529]) ).
thf(2210,plain,
( ( mod2 @ ( high @ greater ) )
!= ( high @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[2209]) ).
thf(2213,plain,
( ( high != mod2 )
| ( high != mod2 ) ),
inference(simp,[status(thm)],[2210]) ).
thf(2224,plain,
high != mod2,
inference(simp,[status(thm)],[2213]) ).
thf(4173,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != mod2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,2224]) ).
thf(4174,plain,
! [A: $i] :
( ( A != mod2 )
| ( A @ ( high @ smaller ) )
| ~ ( A @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4173:[bind(A,$thf( high ))]]) ).
thf(4421,plain,
( ( mod2 @ ( high @ smaller ) )
| ~ ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[4174]) ).
thf(9122,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4421,113]) ).
thf(9123,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9122]) ).
thf(9124,plain,
( ( high @ ( mod2 @ greater ) )
| ~ ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[9123:[bind(A,$thf( high )),bind(B,$thf( mod2 ))]]) ).
thf(19465,plain,
( $false
| ~ ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[9124,1529]) ).
thf(19466,plain,
~ ( mod2 @ ( high @ smaller_or_equal ) ),
inference(simp,[status(thm)],[19465]) ).
thf(19511,plain,
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod2 @ ( high @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34,19466]) ).
thf(19512,plain,
( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19511]) ).
thf(19565,plain,
( ( mod2 != sigma )
| ( ( sk3 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[19512]) ).
thf(3876,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1599]) ).
thf(3877,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod1 @ smaller ) )
| ~ ( A @ ( mod1 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3876:[bind(A,$thf( mod1 ))]]) ).
thf(4638,plain,
( ( very_low @ ( mod1 @ smaller ) )
| ~ ( very_low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3877]) ).
thf(471,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ( tau @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,26]) ).
thf(472,plain,
! [A: $i] :
( ( tau @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( sk3 @ ( A @ greater ) )
| ( sk3 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[471:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(6196,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1599]) ).
thf(6197,plain,
! [A: $i] :
( ( A != very_low )
| ( mod1 @ ( A @ greater ) )
| ~ ( mod1 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6196:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(6877,plain,
( ( mod1 @ ( very_low @ greater ) )
| ~ ( mod1 @ ( very_low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6197]) ).
thf(1641,plain,
( ( ( zero @ ( tau @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,1481]) ).
thf(1642,plain,
( ( zero @ ( tau @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1641]) ).
thf(1682,plain,
( ( tau != zero )
| ( tau != zero ) ),
inference(simp,[status(thm)],[1642]) ).
thf(1687,plain,
tau != zero,
inference(simp,[status(thm)],[1682]) ).
thf(3773,plain,
! [B: $i,A: $i] :
( ( A != tau )
| ( B != zero )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1687]) ).
thf(3774,plain,
! [A: $i] :
( ( A != zero )
| ( A @ ( tau @ smaller ) )
| ~ ( A @ ( tau @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3773:[bind(A,$thf( tau ))]]) ).
thf(4600,plain,
( ( zero @ ( tau @ smaller ) )
| ~ ( zero @ ( tau @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3774]) ).
thf(10577,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( zero @ ( tau @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4600,113]) ).
thf(10578,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( zero @ ( tau @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[10577]) ).
thf(10579,plain,
( ( tau @ ( zero @ greater ) )
| ~ ( zero @ ( tau @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[10578:[bind(A,$thf( tau )),bind(B,$thf( zero ))]]) ).
thf(17284,plain,
( $false
| ~ ( zero @ ( tau @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[10579,1481]) ).
thf(17285,plain,
~ ( zero @ ( tau @ smaller_or_equal ) ),
inference(simp,[status(thm)],[17284]) ).
thf(3642,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1632]) ).
thf(3643,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk4 @ smaller ) )
| ~ ( A @ ( sk4 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3642:[bind(A,$thf( sk4 ))]]) ).
thf(4553,plain,
( ( sk2 @ ( sk4 @ smaller ) )
| ~ ( sk2 @ ( sk4 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3643]) ).
thf(9520,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( high @ ( mod2 @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5561,4553]) ).
thf(9521,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( high @ ( mod2 @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9520]) ).
thf(9625,plain,
( ( sk2 != high )
| ( sk4 != mod2 )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9521]) ).
thf(525,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,36]) ).
thf(526,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[525:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(39249,plain,
! [A: $i] :
( ~ ( very_low @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[526,3005]) ).
thf(5282,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)],[1608,113]) ).
thf(5283,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[5282]) ).
thf(5284,plain,
( ( very_low @ ( mod1 @ greater ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5283:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(11425,plain,
( ( ( high @ ( mod1 @ greater ) )
!= ( very_low @ ( mod1 @ greater ) ) )
| ~ $true
| ( mod1 @ ( very_low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[5284,1499]) ).
thf(11426,plain,
( ( ( high @ ( mod1 @ greater ) )
!= ( very_low @ ( mod1 @ greater ) ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[11425]) ).
thf(11449,plain,
( ( high != very_low )
| ( mod1 != mod1 )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[11426]) ).
thf(11466,plain,
( ( high != very_low )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[11449]) ).
thf(11690,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,1505]) ).
thf(11691,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11690]) ).
thf(11699,plain,
( ( mod1 != sigma )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11691]) ).
thf(1473,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,60]) ).
thf(1474,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1473]) ).
thf(1475,plain,
~ ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ),
inference(pattern_uni,[status(thm)],[1474:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(132,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( eta @ greater ) ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[27,36]) ).
thf(133,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( eta @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[132]) ).
thf(138,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[133]) ).
thf(144,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[138]) ).
thf(435,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,144]) ).
thf(436,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( sk3 @ ( A @ greater ) )
| ( sk3 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[435:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(287,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ~ ( A @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,142]) ).
thf(288,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk3 @ ( A @ greater ) )
| ( sk3 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[287:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(1560,plain,
( ( ( mod1 @ ( high @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,1463]) ).
thf(1561,plain,
( ( mod1 @ ( high @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[1560]) ).
thf(1589,plain,
( ( mod1 != mod1 )
| ( high != low ) ),
inference(simp,[status(thm)],[1561]) ).
thf(1600,plain,
high != low,
inference(simp,[status(thm)],[1589]) ).
thf(1609,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1600]) ).
thf(1610,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( high @ greater ) )
| ( A @ ( high @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1609:[bind(A,$thf( high ))]]) ).
thf(1613,plain,
( ( low @ ( high @ greater ) )
| ( low @ ( high @ smaller ) ) ),
inference(simp,[status(thm)],[1610]) ).
thf(1548,plain,
( ( ( low @ ( mod1 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[91,1463]) ).
thf(1549,plain,
( ( low @ ( mod1 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[1548]) ).
thf(1592,plain,
( ( mod1 != low )
| ( mod1 != low ) ),
inference(simp,[status(thm)],[1549]) ).
thf(1601,plain,
mod1 != low,
inference(simp,[status(thm)],[1592]) ).
thf(5285,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( low @ ( high @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1613,113]) ).
thf(5286,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( low @ ( high @ greater ) ) ),
inference(simp,[status(thm)],[5285]) ).
thf(5287,plain,
( ( high @ ( low @ greater ) )
| ( low @ ( high @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5286:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(11768,plain,
( ( ( low @ ( high @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true
| ( high @ ( low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[5287,1535]) ).
thf(11769,plain,
( ( ( low @ ( high @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[11768]) ).
thf(11808,plain,
( ( low != low )
| ( high != very_low )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[11769]) ).
thf(11819,plain,
( ( high != very_low )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[11808]) ).
thf(12354,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,60]) ).
thf(12355,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12354]) ).
thf(12356,plain,
( ~ ( low @ ( high @ greater ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[12355:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(3029,plain,
( ~ ( very_low @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[36,3005]) ).
thf(371,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk3 @ ( sk1 @ age ) ) )
| ( sigma @ ( A @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,34]) ).
thf(372,plain,
! [A: $i] :
( ( sigma @ ( A @ smaller_or_equal ) )
| ( sk3 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk3 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[371:[bind(A,$thf( A )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(7526,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,126]) ).
thf(7527,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7526]) ).
thf(7528,plain,
zero @ ( tau @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7527:[bind(A,$thf( tau )),bind(B,$thf( zero ))]]) ).
thf(11610,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,115]) ).
thf(11611,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11610]) ).
thf(11612,plain,
( ( very_low @ ( mod1 @ smaller ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[11611:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(11964,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)],[11612,107]) ).
thf(11965,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11964]) ).
thf(11966,plain,
( ( very_low @ ( mod1 @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[11965:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(12392,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)],[11819,126]) ).
thf(12393,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12392]) ).
thf(12394,plain,
( ( high @ ( low @ greater_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[12393:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(1509,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,60]) ).
thf(1510,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1509]) ).
thf(1511,plain,
~ ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ),
inference(pattern_uni,[status(thm)],[1510:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(2251,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,1535]) ).
thf(2252,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[2251]) ).
thf(2274,plain,
( ( low != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= very_low ) ),
inference(simp,[status(thm)],[2252]) ).
thf(12386,plain,
( ( ( high @ ( low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,1481]) ).
thf(12387,plain,
( ( ( high @ ( low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12386]) ).
thf(12407,plain,
( ( high != tau )
| ( low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12387]) ).
thf(451,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk2 @ ( sk1 @ age ) ) )
| ( A = zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,35]) ).
thf(452,plain,
! [A: $i] :
( ( A = zero )
| ( sk2 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk2 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[451:[bind(A,$thf( A )),bind(B,$thf( sk2 @ ( sk1 @ age ) ))]]) ).
thf(26349,plain,
! [A: $i] :
( ( A = zero )
| ( zero @ ( A @ greater ) )
| ( zero @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[452,35]) ).
thf(26687,plain,
! [A: $i] :
( ( A != sk1 )
| ( zero @ has_endowment )
| ( zero @ ( A @ greater ) )
| ( zero @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[26349,29]) ).
thf(26688,plain,
( ( zero @ has_endowment )
| ( zero @ ( sk1 @ greater ) )
| ( zero @ ( sk1 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[26687:[bind(A,$thf( sk1 ))]]) ).
thf(31143,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( zero @ has_endowment )
| ( zero @ ( sk1 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[26688,113]) ).
thf(31144,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( zero @ has_endowment )
| ( zero @ ( sk1 @ greater ) ) ),
inference(simp,[status(thm)],[31143]) ).
thf(31145,plain,
( ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment )
| ( zero @ ( sk1 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[31144:[bind(A,$thf( sk1 )),bind(B,$thf( zero ))]]) ).
thf(32034,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[31145,115]) ).
thf(32035,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(simp,[status(thm)],[32034]) ).
thf(32036,plain,
( ( sk1 @ ( zero @ smaller ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[32035:[bind(A,$thf( zero )),bind(B,$thf( sk1 ))]]) ).
thf(34620,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[32036,107]) ).
thf(34621,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(simp,[status(thm)],[34620]) ).
thf(34622,plain,
( ( sk1 @ ( zero @ smaller_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[34621:[bind(A,$thf( zero )),bind(B,$thf( sk1 ))]]) ).
thf(9595,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( low @ ( very_low @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5587,4553]) ).
thf(9596,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( low @ ( very_low @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9595]) ).
thf(9629,plain,
( ( sk2 != low )
| ( sk4 != very_low )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9596]) ).
thf(19541,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod2 @ ( high @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,19466]) ).
thf(19542,plain,
( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19541]) ).
thf(19557,plain,
( ( mod2 != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[19542]) ).
thf(1807,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1687]) ).
thf(1808,plain,
! [A: $i] :
( ( A != zero )
| ( tau @ ( A @ greater ) )
| ( tau @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1807:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(1809,plain,
( ( tau @ ( zero @ greater ) )
| ( tau @ ( zero @ smaller ) ) ),
inference(simp,[status(thm)],[1808]) ).
thf(2942,plain,
( $false
| ( tau @ ( zero @ smaller ) ) ),
inference(rewrite,[status(thm)],[1809,1481]) ).
thf(2943,plain,
tau @ ( zero @ smaller ),
inference(simp,[status(thm)],[2942]) ).
thf(5029,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2943,107]) ).
thf(5030,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5029]) ).
thf(5031,plain,
tau @ ( zero @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5030:[bind(A,$thf( zero )),bind(B,$thf( tau ))]]) ).
thf(9564,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( tau @ ( zero @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5031,4553]) ).
thf(9565,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( tau @ ( zero @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9564]) ).
thf(9612,plain,
( ( sk2 != tau )
| ( sk4 != zero )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9565]) ).
thf(42,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)],[39]) ).
thf(45,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)],[42]) ).
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 ) )
= high ) ),
inference(simp,[status(thm)],[45]) ).
thf(5478,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,115]) ).
thf(5479,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[5478]) ).
thf(5480,plain,
sk4 @ ( sk1 @ age ) @ ( tau @ smaller ),
inference(pattern_uni,[status(thm)],[5479:[bind(A,$thf( tau )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(22658,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( eta @ ( tau @ smaller_or_equal ) )
| ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[4255,23]) ).
thf(22659,plain,
( ( eta @ ( tau @ smaller_or_equal ) )
| ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[22658:[]]) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[56]) ).
thf(315,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A @ ( high @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,129]) ).
thf(316,plain,
! [A: $i] :
( ( A @ ( high @ greater ) )
| ( mod1 @ ( A @ greater ) )
| ( mod1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[315:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(5279,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)],[2104,113]) ).
thf(5280,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[5279]) ).
thf(5281,plain,
( ( mod2 @ ( very_low @ greater ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5280:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(11137,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)],[5281,126]) ).
thf(11138,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[11137]) ).
thf(11139,plain,
( ( very_low @ ( mod2 @ greater_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[11138:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(491,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk3 @ ( sk1 @ age ) ) )
| ( eta @ ( A @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,23]) ).
thf(492,plain,
! [A: $i] :
( ( eta @ ( A @ smaller_or_equal ) )
| ( sk3 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk3 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[491:[bind(A,$thf( A )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(11440,plain,
( ~ $true
| ( ( very_low @ ( mod1 @ greater ) )
!= ( mod1 @ ( very_low @ greater ) ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[5284]) ).
thf(11441,plain,
( ( ( very_low @ ( mod1 @ greater ) )
!= ( mod1 @ ( very_low @ greater ) ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[11440]) ).
thf(283,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( A @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,142]) ).
thf(284,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( A @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[283:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(15398,plain,
! [A: $i] :
( ~ ( very_low @ ( sk4 @ ( A @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[284,3005]) ).
thf(6543,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != mod2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,2224]) ).
thf(6544,plain,
! [A: $i] :
( ( A != mod2 )
| ( high @ ( A @ greater ) )
| ~ ( high @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6543:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(6991,plain,
( ( high @ ( mod2 @ greater ) )
| ~ ( high @ ( mod2 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6544]) ).
thf(18272,plain,
( $false
| ~ ( high @ ( mod2 @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[6991,1529]) ).
thf(18273,plain,
~ ( high @ ( mod2 @ greater_or_equal ) ),
inference(simp,[status(thm)],[18272]) ).
thf(375,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ( sigma @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,34]) ).
thf(376,plain,
! [A: $i] :
( ( sigma @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( sk3 @ ( A @ greater ) )
| ( sk3 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[375:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(3650,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1600]) ).
thf(3651,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( high @ smaller ) )
| ~ ( A @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3650:[bind(A,$thf( high ))]]) ).
thf(4557,plain,
( ( low @ ( high @ smaller ) )
| ~ ( low @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3651]) ).
thf(15148,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( low @ ( high @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4557,113]) ).
thf(15149,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( low @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[15148]) ).
thf(15150,plain,
( ( high @ ( low @ greater ) )
| ~ ( low @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[15149:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(347,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( tau @ ( sk4 @ ( A @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,33]) ).
thf(348,plain,
! [A: $i] :
( ( tau @ ( sk4 @ ( A @ age ) @ greater ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[347:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(9,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(76,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)],[9]) ).
thf(77,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)],[76]) ).
thf(78,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)],[77]) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnfConj,[status(thm)],[78]) ).
thf(5772,plain,
! [B: $i,A: $i] :
( ( B != low )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,2280]) ).
thf(5773,plain,
! [A: $i] :
( ( A != very_low )
| ( low @ ( A @ greater ) )
| ~ ( low @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5772:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(7088,plain,
( ( low @ ( very_low @ greater ) )
| ~ ( low @ ( very_low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5773]) ).
thf(18772,plain,
( $false
| ~ ( low @ ( very_low @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[7088,1535]) ).
thf(18773,plain,
~ ( low @ ( very_low @ greater_or_equal ) ),
inference(simp,[status(thm)],[18772]) ).
thf(5472,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,115]) ).
thf(5473,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[5472]) ).
thf(5474,plain,
sk4 @ ( sk1 @ age ) @ ( eta @ smaller ),
inference(pattern_uni,[status(thm)],[5473:[bind(A,$thf( eta )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(5680,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5474,107]) ).
thf(5681,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5680]) ).
thf(5682,plain,
sk4 @ ( sk1 @ age ) @ ( eta @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5681:[bind(A,$thf( eta )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(2102,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,2094]) ).
thf(2103,plain,
! [A: $i] :
( ( A != very_low )
| ( mod2 @ ( A @ greater ) )
| ( mod2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[2102:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(2105,plain,
( ( mod2 @ ( very_low @ greater ) )
| ( mod2 @ ( very_low @ smaller ) ) ),
inference(simp,[status(thm)],[2103]) ).
thf(5490,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,115]) ).
thf(5491,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[5490]) ).
thf(5492,plain,
sk4 @ ( sk1 @ age ) @ ( sigma @ smaller ),
inference(pattern_uni,[status(thm)],[5491:[bind(A,$thf( sigma )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(7288,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5492,107]) ).
thf(7289,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7288]) ).
thf(7290,plain,
sk4 @ ( sk1 @ age ) @ ( sigma @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[7289:[bind(A,$thf( sigma )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(2077,plain,
( ( ( low @ ( mod2 @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,1523]) ).
thf(2078,plain,
( ( low @ ( mod2 @ greater ) )
!= ( mod2 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[2077]) ).
thf(2088,plain,
( ( mod2 != low )
| ( mod2 != low ) ),
inference(simp,[status(thm)],[2078]) ).
thf(2096,plain,
mod2 != low,
inference(simp,[status(thm)],[2088]) ).
thf(4137,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,2096]) ).
thf(4138,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( mod2 @ smaller ) )
| ~ ( A @ ( mod2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4137:[bind(A,$thf( mod2 ))]]) ).
thf(4407,plain,
( ( low @ ( mod2 @ smaller ) )
| ~ ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[4138]) ).
thf(8959,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4407,113]) ).
thf(8960,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[8959]) ).
thf(8961,plain,
( ( mod2 @ ( low @ greater ) )
| ~ ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[8960:[bind(A,$thf( mod2 )),bind(B,$thf( low ))]]) ).
thf(19274,plain,
( $false
| ~ ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[8961,1523]) ).
thf(19275,plain,
~ ( low @ ( mod2 @ smaller_or_equal ) ),
inference(simp,[status(thm)],[19274]) ).
thf(19350,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod2 @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,19275]) ).
thf(19351,plain,
( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19350]) ).
thf(19359,plain,
( ( low != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[19351]) ).
thf(7535,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,126]) ).
thf(7536,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7535]) ).
thf(7537,plain,
sigma @ ( sk4 @ ( sk1 @ age ) @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7536:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(3878,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1599]) ).
thf(3879,plain,
! [A: $i] :
( ( A != very_low )
| ( mod1 @ ( A @ smaller ) )
| ~ ( mod1 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3878:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(4639,plain,
( ( mod1 @ ( very_low @ smaller ) )
| ~ ( mod1 @ ( very_low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3879]) ).
thf(16895,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( mod1 @ ( very_low @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4639,113]) ).
thf(16896,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( mod1 @ ( very_low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[16895]) ).
thf(16897,plain,
( ( very_low @ ( mod1 @ greater ) )
| ~ ( mod1 @ ( very_low @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[16896:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(479,plain,
! [B: $i,A: $i] :
( ( B != very_low )
| ( A @ ( low @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,55]) ).
thf(480,plain,
! [A: $i] :
( ( A @ ( low @ greater ) )
| ( very_low @ ( A @ greater ) )
| ( very_low @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[479:[bind(A,$thf( A )),bind(B,$thf( very_low ))]]) ).
thf(166,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[22,36]) ).
thf(167,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[166]) ).
thf(171,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[167]) ).
thf(8586,plain,
( ( very_low != sigma )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[171,3005]) ).
thf(9824,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( high @ ( mod2 @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5561,4554]) ).
thf(9825,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( high @ ( mod2 @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9824]) ).
thf(9928,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9825]) ).
thf(6413,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk3 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,3138]) ).
thf(6414,plain,
! [A: $i] :
( ( A != sk3 )
| ( A @ ( sk4 @ greater ) )
| ~ ( A @ ( sk4 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6413:[bind(A,$thf( sk4 ))]]) ).
thf(6947,plain,
( ( sk3 @ ( sk4 @ greater ) )
| ~ ( sk3 @ ( sk4 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6414]) ).
thf(12313,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,115]) ).
thf(12314,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12313]) ).
thf(12315,plain,
( ( low @ ( high @ smaller ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[12314:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(3471,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,2094]) ).
thf(3472,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod2 @ smaller ) )
| ~ ( A @ ( mod2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3471:[bind(A,$thf( mod2 ))]]) ).
thf(4498,plain,
( ( very_low @ ( mod2 @ smaller ) )
| ~ ( very_low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3472]) ).
thf(9955,plain,
( ( ( high @ ( mod2 @ smaller_or_equal ) )
!= ( very_low @ ( mod2 @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5561,4498]) ).
thf(9956,plain,
( ( ( high @ ( mod2 @ smaller_or_equal ) )
!= ( very_low @ ( mod2 @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[9955]) ).
thf(10055,plain,
( ( high != very_low )
| ( mod2 != mod2 )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[9956]) ).
thf(10073,plain,
( ( high != very_low )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[10055]) ).
thf(10310,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10073,113]) ).
thf(10311,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10310]) ).
thf(10312,plain,
( ( mod2 @ ( very_low @ greater ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[10311:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(10403,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)],[10312,126]) ).
thf(10404,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10403]) ).
thf(10405,plain,
( ( mod2 @ ( very_low @ greater_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[10404:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(12332,plain,
( ( ( high @ ( low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,1511]) ).
thf(12333,plain,
( ( ( high @ ( low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12332]) ).
thf(12411,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= high )
| ( low != sigma )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12333]) ).
thf(1617,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1601]) ).
thf(1618,plain,
! [A: $i] :
( ( A != low )
| ( mod1 @ ( A @ greater ) )
| ( mod1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1617:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(1620,plain,
( ( mod1 @ ( low @ greater ) )
| ( mod1 @ ( low @ smaller ) ) ),
inference(simp,[status(thm)],[1618]) ).
thf(2497,plain,
( $false
| ( mod1 @ ( low @ smaller ) ) ),
inference(rewrite,[status(thm)],[1620,1463]) ).
thf(2498,plain,
mod1 @ ( low @ smaller ),
inference(simp,[status(thm)],[2497]) ).
thf(5017,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2498,107]) ).
thf(5018,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5017]) ).
thf(5019,plain,
mod1 @ ( low @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5018:[bind(A,$thf( low )),bind(B,$thf( mod1 ))]]) ).
thf(9916,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( mod1 @ ( low @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5019,4554]) ).
thf(9917,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( mod1 @ ( low @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9916]) ).
thf(9923,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9917]) ).
thf(1485,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,60]) ).
thf(1486,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[1485]) ).
thf(1487,plain,
~ ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ),
inference(pattern_uni,[status(thm)],[1486:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(10375,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,1487]) ).
thf(10376,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10375]) ).
thf(10422,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= mod2 )
| ( very_low != tau )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10376]) ).
thf(134,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( tau @ greater ) ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[28,36]) ).
thf(135,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( tau @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[134]) ).
thf(140,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[135]) ).
thf(8033,plain,
( ( very_low != zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[140,3005]) ).
thf(25459,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( eta @ ( tau @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[23251,113]) ).
thf(25460,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[25459]) ).
thf(25461,plain,
( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(pattern_uni,[status(thm)],[25460:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(29100,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ~ ( eta @ ( tau @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[25461,60]) ).
thf(29101,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[29100]) ).
thf(29102,plain,
( ~ ( tau @ ( sk3 @ ( sk1 @ age ) @ greater ) )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(pattern_uni,[status(thm)],[29101:[bind(A,$thf( tau )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(9999,plain,
( ( ( very_low @ ( mod2 @ smaller_or_equal ) )
!= ( tau @ ( zero @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5031,4498]) ).
thf(10000,plain,
( ( ( very_low @ ( mod2 @ smaller_or_equal ) )
!= ( tau @ ( zero @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[9999]) ).
thf(10062,plain,
( ( very_low != tau )
| ( mod2 != zero )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[10000]) ).
thf(3143,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk3 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,3138]) ).
thf(3144,plain,
! [A: $i] :
( ( A != sk3 )
| ( A @ ( sk4 @ greater ) )
| ( A @ ( sk4 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[3143:[bind(A,$thf( sk4 ))]]) ).
thf(3147,plain,
( ( sk3 @ ( sk4 @ greater ) )
| ( sk3 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[3144]) ).
thf(8840,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sk3 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[3147,113]) ).
thf(8841,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sk3 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[8840]) ).
thf(8842,plain,
( ( sk4 @ ( sk3 @ greater ) )
| ( sk3 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[8841:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(767,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk2 )
| ( tau @ ( zero @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,255]) ).
thf(768,plain,
! [A: $i] :
( ( A != sk2 )
| ( tau @ ( zero @ greater ) )
| ( A @ ( sk4 @ greater ) )
| ( A @ ( sk4 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[767:[bind(A,$thf( sk4 ))]]) ).
thf(781,plain,
( ( tau @ ( zero @ greater ) )
| ( sk2 @ ( sk4 @ greater ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[768]) ).
thf(1635,plain,
( $false
| ( sk2 @ ( sk4 @ greater ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(rewrite,[status(thm)],[781,1481]) ).
thf(1636,plain,
( ( sk2 @ ( sk4 @ greater ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[1635]) ).
thf(229,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[24,142]) ).
thf(230,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[229]) ).
thf(234,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[230]) ).
thf(12159,plain,
( ( very_low != eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(rewrite,[status(thm)],[234,3005]) ).
thf(301,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( eta @ ( sk4 @ ( A @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,24]) ).
thf(302,plain,
! [A: $i] :
( ( eta @ ( sk4 @ ( A @ age ) @ greater ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[301:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(19661,plain,
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod1 @ ( high @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34,19616]) ).
thf(19662,plain,
( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19661]) ).
thf(19703,plain,
( ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[19662]) ).
thf(9610,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( mod1 @ ( low @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5019,4553]) ).
thf(9611,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( mod1 @ ( low @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9610]) ).
thf(9618,plain,
( ( sk2 != mod1 )
| ( sk4 != low )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9611]) ).
thf(3473,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,2094]) ).
thf(3474,plain,
! [A: $i] :
( ( A != very_low )
| ( mod2 @ ( A @ smaller ) )
| ~ ( mod2 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3473:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(4499,plain,
( ( mod2 @ ( very_low @ smaller ) )
| ~ ( mod2 @ ( very_low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3474]) ).
thf(6495,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,2096]) ).
thf(6496,plain,
! [A: $i] :
( ( A != low )
| ( mod2 @ ( A @ greater ) )
| ~ ( mod2 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6495:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(6973,plain,
( ( mod2 @ ( low @ greater ) )
| ~ ( mod2 @ ( low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6496]) ).
thf(18090,plain,
( $false
| ~ ( mod2 @ ( low @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[6973,1523]) ).
thf(18091,plain,
~ ( mod2 @ ( low @ greater_or_equal ) ),
inference(simp,[status(thm)],[18090]) ).
thf(248,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[33,36]) ).
thf(249,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[248]) ).
thf(253,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[249]) ).
thf(13250,plain,
( ( very_low != tau )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[253,3005]) ).
thf(517,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( A @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,36]) ).
thf(518,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( A @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[517:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(36852,plain,
! [A: $i] :
( ~ ( very_low @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( A @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[518,3005]) ).
thf(1647,plain,
( ( ( mod1 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,1481]) ).
thf(1648,plain,
( ( mod1 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1647]) ).
thf(1676,plain,
( ( mod1 != tau )
| ( high != zero ) ),
inference(simp,[status(thm)],[1648]) ).
thf(391,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sigma @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,22]) ).
thf(392,plain,
! [A: $i] :
( ( sigma @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[391:[bind(A,$thf( A )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(2021,plain,
( ( ( low @ ( mod2 @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,1517]) ).
thf(2022,plain,
( ( low @ ( mod2 @ greater ) )
!= ( eta @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[2021]) ).
thf(2032,plain,
( ( low != eta )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[2022]) ).
thf(12,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(92,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)],[12]) ).
thf(3118,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ has_immunity ) )
!= ( sk4 @ ( sk1 @ has_immunity ) ) )
| ~ $true
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[65,3117]) ).
thf(3119,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ has_immunity ) )
!= ( sk4 @ ( sk1 @ has_immunity ) ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
inference(simp,[status(thm)],[3118]) ).
thf(3120,plain,
( ~ ( eta @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ~ ( sk1 @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[3119:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(23635,plain,
( ~ ( eta @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ~ $true ),
inference(rewrite,[status(thm)],[3120,29]) ).
thf(23636,plain,
~ ( eta @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) ),
inference(simp,[status(thm)],[23635]) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(cnf,[status(esa)],[88]) ).
thf(90,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ age ) )
!= zero ) ),
inference(lifteq,[status(thm)],[89]) ).
thf(3096,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ age ) )
!= ( B @ ( A @ age ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization )
| ( zero != zero ) ),
inference(paramod_ordered,[status(thm)],[35,90]) ).
thf(3097,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ age ) )
!= ( B @ ( A @ age ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[3096]) ).
thf(3098,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[3097:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(3190,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ $true ),
inference(rewrite,[status(thm)],[3098,21]) ).
thf(3191,plain,
sk2 @ ( sk1 @ is_aligned ),
inference(simp,[status(thm)],[3190]) ).
thf(93,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)],[92]) ).
thf(94,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)],[93]) ).
thf(95,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)],[94]) ).
thf(97,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)],[95]) ).
thf(3028,plain,
( ( very_low != zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 ) ),
inference(rewrite,[status(thm)],[144,3005]) ).
thf(455,plain,
! [B: $i,A: $i] :
( ( B != sk2 )
| ( ( A @ ( sk1 @ age ) )
= zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,35]) ).
thf(456,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ age ) )
= zero )
| ( sk2 @ ( A @ greater ) )
| ( sk2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[455:[bind(A,$thf( A )),bind(B,$thf( sk2 ))]]) ).
thf(323,plain,
! [B: $i,A: $i] :
( ( B != low )
| ( A @ ( mod1 @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,91]) ).
thf(324,plain,
! [A: $i] :
( ( A @ ( mod1 @ greater ) )
| ( low @ ( A @ greater ) )
| ( low @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[323:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(773,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk2 )
| ( tau @ ( zero @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,255]) ).
thf(774,plain,
! [A: $i] :
( ( A != sk2 )
| ( tau @ ( zero @ greater ) )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[773:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(782,plain,
( ( tau @ ( zero @ greater ) )
| ( sk4 @ ( sk2 @ greater ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[774]) ).
thf(1633,plain,
( $false
| ( sk4 @ ( sk2 @ greater ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(rewrite,[status(thm)],[782,1481]) ).
thf(1634,plain,
( ( sk4 @ ( sk2 @ greater ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[1633]) ).
thf(11681,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,1517]) ).
thf(11682,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11681]) ).
thf(11702,plain,
( ( mod1 != eta )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11682]) ).
thf(7538,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( eta @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,126]) ).
thf(7539,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( eta @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7538]) ).
thf(7540,plain,
zero @ ( eta @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7539:[bind(A,$thf( eta )),bind(B,$thf( zero ))]]) ).
thf(12395,plain,
( ( ( high @ ( low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,1505]) ).
thf(12396,plain,
( ( ( high @ ( low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12395]) ).
thf(12414,plain,
( ( high != sigma )
| ( low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12396]) ).
thf(4296,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( A = B ) ),
inference(paramod_ordered,[status(thm)],[23,106]) ).
thf(4297,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(simp,[status(thm)],[4296]) ).
thf(4298,plain,
( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ age ) )
= eta ) ),
inference(pattern_uni,[status(thm)],[4297:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(25048,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( tau @ ( eta @ smaller_or_equal ) )
| ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[4298,26]) ).
thf(25049,plain,
( ( tau @ ( eta @ smaller_or_equal ) )
| ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[25048:[]]) ).
thf(6707,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != mod1 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1861]) ).
thf(6708,plain,
! [A: $i] :
( ( A != mod1 )
| ( high @ ( A @ greater ) )
| ~ ( high @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6707:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(7043,plain,
( ( high @ ( mod1 @ greater ) )
| ~ ( high @ ( mod1 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6708]) ).
thf(18399,plain,
( $false
| ~ ( high @ ( mod1 @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[7043,1499]) ).
thf(18400,plain,
~ ( high @ ( mod1 @ greater_or_equal ) ),
inference(simp,[status(thm)],[18399]) ).
thf(5343,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)],[2105,107]) ).
thf(5344,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[5343]) ).
thf(5345,plain,
( ( mod2 @ ( very_low @ smaller_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5344:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(10347,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,1511]) ).
thf(10348,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10347]) ).
thf(10413,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= mod2 )
| ( very_low != sigma )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10348]) ).
thf(5972,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1632]) ).
thf(5973,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk4 @ ( A @ greater ) )
| ~ ( sk4 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5972:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(7173,plain,
( ( sk4 @ ( sk2 @ greater ) )
| ~ ( sk4 @ ( sk2 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5973]) ).
thf(1826,plain,
( ( ( high @ ( mod1 @ greater ) )
!= ( zero @ ( sigma @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,1499]) ).
thf(1827,plain,
( ( high @ ( mod1 @ greater ) )
!= ( zero @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[1826]) ).
thf(1856,plain,
( ( high != zero )
| ( mod1 != sigma ) ),
inference(simp,[status(thm)],[1827]) ).
thf(1556,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,1463]) ).
thf(1557,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[1556]) ).
thf(1587,plain,
( ( mod1 != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[1557]) ).
thf(9826,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( eta @ ( zero @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4992,4554]) ).
thf(9827,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( eta @ ( zero @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9826]) ).
thf(9936,plain,
( ( sk4 != eta )
| ( sk2 != zero )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9827]) ).
thf(20533,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( very_low @ ( low @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,20458]) ).
thf(20534,plain,
( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[20533]) ).
thf(20553,plain,
( ( very_low != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[20534]) ).
thf(19537,plain,
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod2 @ ( high @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26,19466]) ).
thf(19538,plain,
( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19537]) ).
thf(19556,plain,
( ( mod2 != tau )
| ( ( sk3 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[19538]) ).
thf(279,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( A @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,142]) ).
thf(280,plain,
! [A: $i] :
( ~ ( A @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[279:[bind(A,$thf( A )),bind(B,$thf( sk3 @ ( sk1 @ hazard_of_mortality ) ))]]) ).
thf(14520,plain,
! [A: $i] :
( ~ ( A @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( very_low @ ( A @ greater ) )
| ( very_low @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[280,3005]) ).
thf(387,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( sigma @ ( A @ ( sk1 @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,22]) ).
thf(388,plain,
! [A: $i] :
( ( sigma @ ( A @ ( sk1 @ age ) @ greater ) )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[387:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(11433,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)],[5284,126]) ).
thf(11434,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[11433]) ).
thf(11435,plain,
( ( very_low @ ( mod1 @ greater_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[11434:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(40,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)],[39]) ).
thf(52,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)],[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(simp,[status(thm)],[52]) ).
thf(105,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[102]) ).
thf(108,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[105]) ).
thf(109,plain,
! [A: $i] : ( A @ ( A @ smaller_or_equal ) ),
inference(simp,[status(thm)],[108]) ).
thf(1663,plain,
( ( ( low @ ( mod2 @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,1481]) ).
thf(1664,plain,
( ( low @ ( mod2 @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1663]) ).
thf(1683,plain,
( ( low != tau )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[1664]) ).
thf(13780,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[8842,126]) ).
thf(13781,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(simp,[status(thm)],[13780]) ).
thf(13782,plain,
( ( sk3 @ ( sk4 @ greater_or_equal ) )
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[13781:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(1864,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != mod1 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1861]) ).
thf(1865,plain,
! [A: $i] :
( ( A != mod1 )
| ( high @ ( A @ greater ) )
| ( high @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1864:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(1867,plain,
( ( high @ ( mod1 @ greater ) )
| ( high @ ( mod1 @ smaller ) ) ),
inference(simp,[status(thm)],[1865]) ).
thf(3178,plain,
( $false
| ( high @ ( mod1 @ smaller ) ) ),
inference(rewrite,[status(thm)],[1867,1499]) ).
thf(3179,plain,
high @ ( mod1 @ smaller ),
inference(simp,[status(thm)],[3178]) ).
thf(188,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( very_low @ ( low @ greater ) ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[55,36]) ).
thf(189,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( very_low @ ( low @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[188]) ).
thf(192,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= very_low )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[189]) ).
thf(9337,plain,
( ( very_low != very_low )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[192,3005]) ).
thf(9338,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(simp,[status(thm)],[9337]) ).
thf(9395,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( very_low != very_low )
| ~ ( A @ ( sk1 @ has_immunity ) ) ),
inference(paramod_ordered,[status(thm)],[1182,9338]) ).
thf(9396,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ~ ( A @ ( sk1 @ has_immunity ) ) ),
inference(simp,[status(thm)],[9395]) ).
thf(9397,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ~ ( sk2 @ ( sk1 @ has_immunity ) ) ),
inference(pattern_uni,[status(thm)],[9396:[bind(A,$thf( sk2 ))]]) ).
thf(19346,plain,
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod2 @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26,19275]) ).
thf(19347,plain,
( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19346]) ).
thf(19358,plain,
( ( low != tau )
| ( ( sk3 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[19347]) ).
thf(5291,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1636,113]) ).
thf(5292,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[5291]) ).
thf(5293,plain,
( ( sk4 @ ( sk2 @ greater ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5292:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(11890,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)],[5293,126]) ).
thf(11891,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(simp,[status(thm)],[11890]) ).
thf(11892,plain,
( ( sk2 @ ( sk4 @ greater_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[11891:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(10399,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,1481]) ).
thf(10400,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10399]) ).
thf(10423,plain,
( ( mod2 != tau )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10400]) ).
thf(13787,plain,
( ~ $true
| ( ( sk3 @ ( sk4 @ greater ) )
!= ( sk4 @ ( sk3 @ greater ) ) )
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[8842]) ).
thf(13805,plain,
( ( ( sk3 @ ( sk4 @ greater ) )
!= ( sk4 @ ( sk3 @ greater ) ) )
| ( sk4 @ ( sk3 @ greater ) ) ),
inference(simp,[status(thm)],[13787]) ).
thf(6194,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1599]) ).
thf(6195,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod1 @ greater ) )
| ~ ( A @ ( mod1 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6194:[bind(A,$thf( mod1 ))]]) ).
thf(6876,plain,
( ( very_low @ ( mod1 @ greater ) )
| ~ ( very_low @ ( mod1 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6195]) ).
thf(3567,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1601]) ).
thf(3568,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( mod1 @ smaller ) )
| ~ ( A @ ( mod1 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3567:[bind(A,$thf( mod1 ))]]) ).
thf(4532,plain,
( ( low @ ( mod1 @ smaller ) )
| ~ ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3568]) ).
thf(14357,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4532,113]) ).
thf(14358,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[14357]) ).
thf(14359,plain,
( ( mod1 @ ( low @ greater ) )
| ~ ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[14358:[bind(A,$thf( mod1 )),bind(B,$thf( low ))]]) ).
thf(20863,plain,
( $false
| ~ ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[14359,1463]) ).
thf(20864,plain,
~ ( low @ ( mod1 @ smaller_or_equal ) ),
inference(simp,[status(thm)],[20863]) ).
thf(20935,plain,
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod1 @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26,20864]) ).
thf(20936,plain,
( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[20935]) ).
thf(20967,plain,
( ( low != tau )
| ( ( sk3 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[20936]) ).
thf(1838,plain,
( ( ( high @ ( mod1 @ greater ) )
!= ( zero @ ( eta @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,1499]) ).
thf(1839,plain,
( ( high @ ( mod1 @ greater ) )
!= ( zero @ ( eta @ greater ) ) ),
inference(simp,[status(thm)],[1838]) ).
thf(1852,plain,
( ( high != zero )
| ( mod1 != eta ) ),
inference(simp,[status(thm)],[1839]) ).
thf(26872,plain,
! [A: $i] :
( ( A != sk1 )
| ( zero @ organization )
| ( zero @ ( A @ greater ) )
| ( zero @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[26349,21]) ).
thf(26873,plain,
( ( zero @ organization )
| ( zero @ ( sk1 @ greater ) )
| ( zero @ ( sk1 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[26872:[bind(A,$thf( sk1 ))]]) ).
thf(31632,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( zero @ organization )
| ( zero @ ( sk1 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[26873,113]) ).
thf(31633,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( zero @ organization )
| ( zero @ ( sk1 @ greater ) ) ),
inference(simp,[status(thm)],[31632]) ).
thf(31634,plain,
( ( sk1 @ ( zero @ greater ) )
| ( zero @ organization )
| ( zero @ ( sk1 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[31633:[bind(A,$thf( sk1 )),bind(B,$thf( zero ))]]) ).
thf(23586,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( eta @ ( tau @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[22659,113]) ).
thf(23587,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( eta @ ( tau @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[23586]) ).
thf(23588,plain,
( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
| ( eta @ ( tau @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[23587:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(9959,plain,
( ( ( very_low @ ( mod2 @ smaller_or_equal ) )
!= ( sigma @ ( zero @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5037,4498]) ).
thf(9960,plain,
( ( ( very_low @ ( mod2 @ smaller_or_equal ) )
!= ( sigma @ ( zero @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[9959]) ).
thf(10058,plain,
( ( very_low != sigma )
| ( mod2 != zero )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[9960]) ).
thf(64,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk6 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk5 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[63]) ).
thf(73,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk6 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk5 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[64]) ).
thf(124,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[121]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[124]) ).
thf(128,plain,
! [A: $i] : ( A @ ( A @ greater_or_equal ) ),
inference(simp,[status(thm)],[127]) ).
thf(359,plain,
! [B: $i,A: $i] :
( ( B != zero )
| ( A @ ( sigma @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,32]) ).
thf(360,plain,
! [A: $i] :
( ( A @ ( sigma @ greater ) )
| ( zero @ ( A @ greater ) )
| ( zero @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[359:[bind(A,$thf( A )),bind(B,$thf( zero ))]]) ).
thf(1822,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,1499]) ).
thf(1823,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[1822]) ).
thf(1846,plain,
( ( high != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[1823]) ).
thf(397,plain,
! [B: $i,A: $i] :
( ( B != eta )
| ( zero @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,27]) ).
thf(398,plain,
! [A: $i] :
( ( zero @ ( A @ greater ) )
| ( eta @ ( A @ greater ) )
| ( eta @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[397:[bind(A,$thf( A )),bind(B,$thf( eta ))]]) ).
thf(2065,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,1523]) ).
thf(2066,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[2065]) ).
thf(2089,plain,
( ( mod2 != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[2066]) ).
thf(9828,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( sigma @ ( zero @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5037,4554]) ).
thf(9829,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( sigma @ ( zero @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9828]) ).
thf(9925,plain,
( ( sk4 != sigma )
| ( sk2 != zero )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9829]) ).
thf(5880,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1601]) ).
thf(5881,plain,
! [A: $i] :
( ( A != low )
| ( mod1 @ ( A @ greater ) )
| ~ ( mod1 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5880:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(7146,plain,
( ( mod1 @ ( low @ greater ) )
| ~ ( mod1 @ ( low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5881]) ).
thf(18901,plain,
( $false
| ~ ( mod1 @ ( low @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[7146,1463]) ).
thf(18902,plain,
~ ( mod1 @ ( low @ greater_or_equal ) ),
inference(simp,[status(thm)],[18901]) ).
thf(5752,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,2094]) ).
thf(5753,plain,
! [A: $i] :
( ( A != very_low )
| ( mod2 @ ( A @ greater ) )
| ~ ( mod2 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5752:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(7074,plain,
( ( mod2 @ ( very_low @ greater ) )
| ~ ( mod2 @ ( very_low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5753]) ).
thf(4993,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)],[2104,107]) ).
thf(4994,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[4993]) ).
thf(4995,plain,
( ( very_low @ ( mod2 @ smaller_or_equal ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[4994:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(297,plain,
! [B: $i,A: $i] :
( ( B != eta )
| ( A @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,24]) ).
thf(298,plain,
! [A: $i] :
( ( A @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ( eta @ ( A @ greater ) )
| ( eta @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[297:[bind(A,$thf( A )),bind(B,$thf( eta ))]]) ).
thf(11629,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,1511]) ).
thf(11630,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11629]) ).
thf(11705,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= mod1 )
| ( very_low != sigma )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11630]) ).
thf(10406,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,1505]) ).
thf(10407,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10406]) ).
thf(10420,plain,
( ( mod2 != sigma )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10407]) ).
thf(2023,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,1517]) ).
thf(2024,plain,
( ( mod2 @ ( high @ greater ) )
!= ( eta @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[2023]) ).
thf(2028,plain,
( ( mod2 != eta )
| ( high != zero ) ),
inference(simp,[status(thm)],[2024]) ).
thf(443,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A @ ( high @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,130]) ).
thf(444,plain,
! [A: $i] :
( ( A @ ( high @ greater ) )
| ( mod2 @ ( A @ greater ) )
| ( mod2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[443:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(23241,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( very_low @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,23165]) ).
thf(23242,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( very_low @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[23241]) ).
thf(23276,plain,
( ( mod1 != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= very_low )
| ( high != very_low ) ),
inference(simp,[status(thm)],[23242]) ).
thf(33418,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(paramod_ordered,[status(thm)],[31634,126]) ).
thf(33419,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(simp,[status(thm)],[33418]) ).
thf(33420,plain,
( ( zero @ ( sk1 @ greater_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(pattern_uni,[status(thm)],[33419:[bind(A,$thf( sk1 )),bind(B,$thf( zero ))]]) ).
thf(1611,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1600]) ).
thf(1612,plain,
! [A: $i] :
( ( A != low )
| ( high @ ( A @ greater ) )
| ( high @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1611:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(1614,plain,
( ( high @ ( low @ greater ) )
| ( high @ ( low @ smaller ) ) ),
inference(simp,[status(thm)],[1612]) ).
thf(5041,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)],[1614,107]) ).
thf(5042,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[5041]) ).
thf(5043,plain,
( ( high @ ( low @ smaller_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5042:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(11797,plain,
( ~ $true
| ( ( low @ ( high @ greater ) )
!= ( high @ ( low @ greater ) ) )
| ( high @ ( low @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[5287]) ).
thf(11805,plain,
( ( ( low @ ( high @ greater ) )
!= ( high @ ( low @ greater ) ) )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[11797]) ).
thf(10028,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( very_low @ ( mod2 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4498,113]) ).
thf(10029,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( very_low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[10028]) ).
thf(10030,plain,
( ( mod2 @ ( very_low @ greater ) )
| ~ ( very_low @ ( mod2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[10029:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(11144,plain,
( ~ $true
| ( ( very_low @ ( mod2 @ greater ) )
!= ( mod2 @ ( very_low @ greater ) ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[5281]) ).
thf(11148,plain,
( ( ( very_low @ ( mod2 @ greater ) )
!= ( mod2 @ ( very_low @ greater ) ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[11144]) ).
thf(163,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[22,142]) ).
thf(164,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[163]) ).
thf(168,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[164]) ).
thf(8480,plain,
( ( very_low != sigma )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(rewrite,[status(thm)],[168,3005]) ).
thf(9592,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( sk2 @ ( sk4 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4553,113]) ).
thf(9593,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( sk2 @ ( sk4 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9592]) ).
thf(9594,plain,
( ( sk4 @ ( sk2 @ greater ) )
| ~ ( sk2 @ ( sk4 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[9593:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(24972,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( sigma @ ( eta @ smaller_or_equal ) )
| ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[4298,34]) ).
thf(24973,plain,
( ( sigma @ ( eta @ smaller_or_equal ) )
| ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[24972:[]]) ).
thf(25772,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sigma @ ( eta @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[24973,113]) ).
thf(25773,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sigma @ ( eta @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[25772]) ).
thf(25774,plain,
( ( sk3 @ ( sk1 @ age ) @ ( eta @ greater ) )
| ( sigma @ ( eta @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[25773:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(5014,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)],[1634,107]) ).
thf(5015,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(simp,[status(thm)],[5014]) ).
thf(5016,plain,
( ( sk4 @ ( sk2 @ smaller_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5015:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(3652,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1600]) ).
thf(3653,plain,
! [A: $i] :
( ( A != low )
| ( high @ ( A @ smaller ) )
| ~ ( high @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3652:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(4558,plain,
( ( high @ ( low @ smaller ) )
| ~ ( high @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3653]) ).
thf(15658,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( high @ ( low @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4558,113]) ).
thf(15659,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( high @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[15658]) ).
thf(15660,plain,
( ( low @ ( high @ greater ) )
| ~ ( high @ ( low @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[15659:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(5020,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3179,107]) ).
thf(5021,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5020]) ).
thf(5022,plain,
high @ ( mod1 @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5021:[bind(A,$thf( mod1 )),bind(B,$thf( high ))]]) ).
thf(9590,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( high @ ( mod1 @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5022,4553]) ).
thf(9591,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( high @ ( mod1 @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9590]) ).
thf(9617,plain,
( ( sk2 != high )
| ( sk4 != mod1 )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9591]) ).
thf(4996,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)],[1608,107]) ).
thf(4997,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[4996]) ).
thf(4998,plain,
( ( mod1 @ ( very_low @ smaller_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[4997:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(3646,plain,
! [B: $i,A: $i] :
( ( A != sigma )
| ( B != zero )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,1928]) ).
thf(3647,plain,
! [A: $i] :
( ( A != zero )
| ( A @ ( sigma @ smaller ) )
| ~ ( A @ ( sigma @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3646:[bind(A,$thf( sigma ))]]) ).
thf(4555,plain,
( ( zero @ ( sigma @ smaller ) )
| ~ ( zero @ ( sigma @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[3647]) ).
thf(10215,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( zero @ ( sigma @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4555,113]) ).
thf(10216,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( zero @ ( sigma @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[10215]) ).
thf(10217,plain,
( ( sigma @ ( zero @ greater ) )
| ~ ( zero @ ( sigma @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[10216:[bind(A,$thf( sigma )),bind(B,$thf( zero ))]]) ).
thf(17082,plain,
( $false
| ~ ( zero @ ( sigma @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[10217,1505]) ).
thf(17083,plain,
~ ( zero @ ( sigma @ smaller_or_equal ) ),
inference(simp,[status(thm)],[17082]) ).
thf(285,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ~ ( sk3 @ ( A @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,142]) ).
thf(286,plain,
! [A: $i] :
( ~ ( sk3 @ ( A @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[285:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(23256,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( very_low @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,23165]) ).
thf(23257,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( very_low @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[23256]) ).
thf(23279,plain,
( ( mod2 != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= very_low )
| ( high != very_low ) ),
inference(simp,[status(thm)],[23257]) ).
thf(6795,plain,
! [B: $i,A: $i] :
( ( B != eta )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,2040]) ).
thf(6796,plain,
! [A: $i] :
( ( A != zero )
| ( eta @ ( A @ greater ) )
| ~ ( eta @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6795:[bind(A,$thf( A )),bind(B,$thf( eta ))]]) ).
thf(7087,plain,
( ( eta @ ( zero @ greater ) )
| ~ ( eta @ ( zero @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6796]) ).
thf(12775,plain,
( $false
| ~ ( eta @ ( zero @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[7087,1517]) ).
thf(12776,plain,
~ ( eta @ ( zero @ greater_or_equal ) ),
inference(simp,[status(thm)],[12775]) ).
thf(69,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk6 @ ( A @ has_immunity ) )
| ~ ( A @ sk5 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[63]) ).
thf(71,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk6 @ ( A @ has_immunity ) )
| ~ ( A @ sk5 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[69]) ).
thf(7532,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,126]) ).
thf(7533,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7532]) ).
thf(7534,plain,
zero @ ( sigma @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7533:[bind(A,$thf( sigma )),bind(B,$thf( zero ))]]) ).
thf(23248,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ~ ( eta @ ( sigma @ greater ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[3988,23165]) ).
thf(23249,plain,
( ~ ( eta @ ( sigma @ greater ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[23248:[]]) ).
thf(24698,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[23249,113]) ).
thf(24699,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[24698]) ).
thf(24700,plain,
( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(pattern_uni,[status(thm)],[24699:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(9957,plain,
( ( ( very_low @ ( mod2 @ smaller_or_equal ) )
!= ( eta @ ( zero @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4992,4498]) ).
thf(9958,plain,
( ( ( very_low @ ( mod2 @ smaller_or_equal ) )
!= ( eta @ ( zero @ smaller_or_equal ) ) )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[9957]) ).
thf(10051,plain,
( ( very_low != eta )
| ( mod2 != zero )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[9958]) ).
thf(465,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk3 @ ( sk1 @ age ) ) )
| ( tau @ ( A @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,26]) ).
thf(466,plain,
! [A: $i] :
( ( tau @ ( A @ smaller_or_equal ) )
| ( sk3 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk3 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[465:[bind(A,$thf( A )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(349,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk4 @ ( sk1 @ age ) ) )
| ( tau @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,33]) ).
thf(350,plain,
! [A: $i] :
( ( tau @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[349:[bind(A,$thf( A )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(1667,plain,
( ( ( very_low @ ( low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,1481]) ).
thf(1668,plain,
( ( very_low @ ( low @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1667]) ).
thf(1675,plain,
( ( very_low != tau )
| ( low != zero ) ),
inference(simp,[status(thm)],[1668]) ).
thf(80,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)],[78]) ).
thf(86,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)],[80]) ).
thf(11897,plain,
( ~ $true
| ( ( sk2 @ ( sk4 @ greater ) )
!= ( sk4 @ ( sk2 @ greater ) ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[5293]) ).
thf(11900,plain,
( ( ( sk2 @ ( sk4 @ greater ) )
!= ( sk4 @ ( sk2 @ greater ) ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(simp,[status(thm)],[11897]) ).
thf(11790,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)],[5287,126]) ).
thf(11791,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[11790]) ).
thf(11792,plain,
( ( low @ ( high @ greater_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[11791:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(7544,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[91,126]) ).
thf(7545,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7544]) ).
thf(7546,plain,
low @ ( mod1 @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7545:[bind(A,$thf( mod1 )),bind(B,$thf( low ))]]) ).
thf(2175,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,2096]) ).
thf(2176,plain,
! [A: $i] :
( ( A != low )
| ( mod2 @ ( A @ greater ) )
| ( mod2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[2175:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(2177,plain,
( ( mod2 @ ( low @ greater ) )
| ( mod2 @ ( low @ smaller ) ) ),
inference(simp,[status(thm)],[2176]) ).
thf(5444,plain,
( $false
| ( mod2 @ ( low @ smaller ) ) ),
inference(rewrite,[status(thm)],[2177,1523]) ).
thf(5445,plain,
mod2 @ ( low @ smaller ),
inference(simp,[status(thm)],[5444]) ).
thf(5465,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5445,107]) ).
thf(5466,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5465]) ).
thf(5467,plain,
mod2 @ ( low @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5466:[bind(A,$thf( low )),bind(B,$thf( mod2 ))]]) ).
thf(9601,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( mod2 @ ( low @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5467,4553]) ).
thf(9602,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( mod2 @ ( low @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9601]) ).
thf(9623,plain,
( ( sk2 != mod2 )
| ( sk4 != low )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9602]) ).
thf(2588,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,1487]) ).
thf(2589,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[2588]) ).
thf(2635,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= tau ) ),
inference(simp,[status(thm)],[2589]) ).
thf(2642,plain,
( ( sk4 @ ( sk1 @ age ) )
!= tau ),
inference(simp,[status(thm)],[2635]) ).
thf(2189,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,1529]) ).
thf(2190,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[2189]) ).
thf(2214,plain,
( ( high != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[2190]) ).
thf(9524,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( sigma @ ( zero @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5037,4553]) ).
thf(9525,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( sigma @ ( zero @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9524]) ).
thf(9614,plain,
( ( sk2 != sigma )
| ( sk4 != zero )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9525]) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnfConj,[status(thm)],[78]) ).
thf(12360,plain,
( ( ( high @ ( low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,1487]) ).
thf(12361,plain,
( ( ( high @ ( low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12360]) ).
thf(12413,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= high )
| ( low != tau )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12361]) ).
thf(6096,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1687]) ).
thf(6097,plain,
! [A: $i] :
( ( A != zero )
| ( tau @ ( A @ greater ) )
| ~ ( tau @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6096:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(7218,plain,
( ( tau @ ( zero @ greater ) )
| ~ ( tau @ ( zero @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6097]) ).
thf(14802,plain,
( $false
| ~ ( tau @ ( zero @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[7218,1481]) ).
thf(14803,plain,
~ ( tau @ ( zero @ greater_or_equal ) ),
inference(simp,[status(thm)],[14802]) ).
thf(433,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( ( sk3 @ ( A @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,144]) ).
thf(434,plain,
! [A: $i] :
( ( ( sk3 @ ( A @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[433:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(32143,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[31145,126]) ).
thf(32144,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(simp,[status(thm)],[32143]) ).
thf(32145,plain,
( ( zero @ ( sk1 @ greater_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[32144:[bind(A,$thf( sk1 )),bind(B,$thf( zero ))]]) ).
thf(405,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( low @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,54]) ).
thf(406,plain,
! [A: $i] :
( ( low @ ( A @ greater ) )
| ( mod2 @ ( A @ greater ) )
| ( mod2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[405:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(4081,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk3 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,3138]) ).
thf(4082,plain,
! [A: $i] :
( ( A != sk3 )
| ( A @ ( sk4 @ smaller ) )
| ~ ( A @ ( sk4 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4081:[bind(A,$thf( sk4 ))]]) ).
thf(4704,plain,
( ( sk3 @ ( sk4 @ smaller ) )
| ~ ( sk3 @ ( sk4 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[4082]) ).
thf(1815,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,1499]) ).
thf(1816,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[1815]) ).
thf(1853,plain,
( ( high != eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[1816]) ).
thf(523,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( A @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,36]) ).
thf(524,plain,
! [A: $i] :
( ~ ( A @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[523:[bind(A,$thf( A )),bind(B,$thf( sk3 @ ( sk1 @ hazard_of_mortality ) ))]]) ).
thf(38941,plain,
! [A: $i] :
( ~ ( A @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low )
| ( very_low @ ( A @ greater ) )
| ( very_low @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[524,3005]) ).
thf(493,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( eta @ ( sk3 @ ( A @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,23]) ).
thf(494,plain,
! [A: $i] :
( ( eta @ ( sk3 @ ( A @ age ) @ smaller_or_equal ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[493:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(2405,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,1475]) ).
thf(2406,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) ),
inference(simp,[status(thm)],[2405]) ).
thf(2454,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= eta ) ),
inference(simp,[status(thm)],[2406]) ).
thf(2461,plain,
( ( sk4 @ ( sk1 @ age ) )
!= eta ),
inference(simp,[status(thm)],[2454]) ).
thf(329,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( zero @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,28]) ).
thf(330,plain,
! [A: $i] :
( ( zero @ ( A @ greater ) )
| ( tau @ ( A @ greater ) )
| ( tau @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[329:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(29215,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ~ ( eta @ ( tau @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[25461,126]) ).
thf(29216,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[29215]) ).
thf(29217,plain,
( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater_or_equal ) )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(pattern_uni,[status(thm)],[29216:[bind(A,$thf( tau )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(9868,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( tau @ ( zero @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5031,4554]) ).
thf(9869,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( tau @ ( zero @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9868]) ).
thf(9921,plain,
( ( sk4 != tau )
| ( sk2 != zero )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9869]) ).
thf(429,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,144]) ).
thf(430,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[429:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(24311,plain,
! [A: $i] :
( ( very_low != zero )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[430,3005]) ).
thf(5970,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1632]) ).
thf(5971,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk4 @ greater ) )
| ~ ( A @ ( sk4 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5970:[bind(A,$thf( sk4 ))]]) ).
thf(7172,plain,
( ( sk2 @ ( sk4 @ greater ) )
| ~ ( sk2 @ ( sk4 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5971]) ).
thf(22590,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( sigma @ ( tau @ smaller_or_equal ) )
| ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[4255,34]) ).
thf(22591,plain,
( ( sigma @ ( tau @ smaller_or_equal ) )
| ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[22590:[]]) ).
thf(2678,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,1511]) ).
thf(2679,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[2678]) ).
thf(2717,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= sigma ) ),
inference(simp,[status(thm)],[2679]) ).
thf(2725,plain,
( ( sk4 @ ( sk1 @ age ) )
!= sigma ),
inference(simp,[status(thm)],[2717]) ).
thf(1643,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,1481]) ).
thf(1644,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1643]) ).
thf(1674,plain,
( ( tau != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= zero ) ),
inference(simp,[status(thm)],[1644]) ).
thf(1684,plain,
( ( sk4 @ ( sk1 @ age ) )
!= zero ),
inference(simp,[status(thm)],[1674]) ).
thf(155,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( sigma @ greater ) ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[32,36]) ).
thf(156,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( sigma @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[155]) ).
thf(159,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[156]) ).
thf(8323,plain,
( ( very_low != zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[159,3005]) ).
thf(137,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[133]) ).
thf(7718,plain,
( ( very_low != zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low ) ),
inference(rewrite,[status(thm)],[137,3005]) ).
thf(4083,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk3 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,3138]) ).
thf(4084,plain,
! [A: $i] :
( ( A != sk3 )
| ( sk4 @ ( A @ smaller ) )
| ~ ( sk4 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4083:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(4705,plain,
( ( sk4 @ ( sk3 @ smaller ) )
| ~ ( sk4 @ ( sk3 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[4084]) ).
thf(11545,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk3 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( sk4 @ ( sk3 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4705,113]) ).
thf(11546,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk3 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( sk4 @ ( sk3 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[11545]) ).
thf(11547,plain,
( ( sk3 @ ( sk4 @ greater ) )
| ~ ( sk4 @ ( sk3 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[11546:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(489,plain,
! [B: $i,A: $i] :
( ( B != eta )
| ( A @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,23]) ).
thf(490,plain,
! [A: $i] :
( ( A @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( eta @ ( A @ greater ) )
| ( eta @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[489:[bind(A,$thf( A )),bind(B,$thf( eta ))]]) ).
thf(2025,plain,
( ( ( very_low @ ( low @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,1517]) ).
thf(2026,plain,
( ( very_low @ ( low @ greater ) )
!= ( eta @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[2025]) ).
thf(2037,plain,
( ( very_low != eta )
| ( low != zero ) ),
inference(simp,[status(thm)],[2026]) ).
thf(373,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( sigma @ ( sk3 @ ( A @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,34]) ).
thf(374,plain,
! [A: $i] :
( ( sigma @ ( sk3 @ ( A @ age ) @ smaller_or_equal ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[373:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(5976,plain,
! [B: $i,A: $i] :
( ( B != sigma )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1928]) ).
thf(5977,plain,
! [A: $i] :
( ( A != zero )
| ( sigma @ ( A @ greater ) )
| ~ ( sigma @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5976:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(7175,plain,
( ( sigma @ ( zero @ greater ) )
| ~ ( sigma @ ( zero @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5977]) ).
thf(14437,plain,
( $false
| ~ ( sigma @ ( zero @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[7175,1505]) ).
thf(14438,plain,
~ ( sigma @ ( zero @ greater_or_equal ) ),
inference(simp,[status(thm)],[14437]) ).
thf(31152,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( zero @ has_endowment )
| ( zero @ ( sk1 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[26688,107]) ).
thf(31153,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( zero @ has_endowment )
| ( zero @ ( sk1 @ greater ) ) ),
inference(simp,[status(thm)],[31152]) ).
thf(31154,plain,
( ( zero @ ( sk1 @ smaller_or_equal ) )
| ( zero @ has_endowment )
| ( zero @ ( sk1 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[31153:[bind(A,$thf( sk1 )),bind(B,$thf( zero ))]]) ).
thf(11687,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)],[11466,126]) ).
thf(11688,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11687]) ).
thf(11689,plain,
( ( mod1 @ ( very_low @ greater_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[11688:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(41,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)],[39]) ).
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 ) )
= low ) ),
inference(lifteq,[status(thm)],[41]) ).
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 ) )
= low ) ),
inference(simp,[status(thm)],[47]) ).
thf(1545,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[60]) ).
thf(1546,plain,
! [A: $i] :
~ ( A @ ( A @ greater ) ),
inference(pattern_uni,[status(thm)],[1545:[bind(A,$thf( B ))]]) ).
thf(1547,plain,
! [A: $i] :
~ ( A @ ( A @ greater ) ),
inference(simp,[status(thm)],[1546]) ).
thf(29173,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( A @ ( A @ greater ) ) )
| ~ $true
| ~ ( eta @ ( tau @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[25461,1547]) ).
thf(29174,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( A @ ( A @ greater ) ) )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[29173]) ).
thf(29263,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ age ) )
!= A )
| ( tau != A )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[29174]) ).
thf(29288,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= tau )
| ~ ( eta @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[29263]) ).
thf(11683,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,1481]) ).
thf(11684,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11683]) ).
thf(11694,plain,
( ( mod1 != tau )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11684]) ).
thf(23237,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( low @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,23165]) ).
thf(23238,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( low @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[23237]) ).
thf(23273,plain,
( ( high != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= low )
| ( high != very_low ) ),
inference(simp,[status(thm)],[23238]) ).
thf(10369,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,60]) ).
thf(10370,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10369]) ).
thf(10371,plain,
( ~ ( very_low @ ( mod2 @ greater ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[10370:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(521,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk4 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,36]) ).
thf(522,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[521:[bind(A,$thf( A )),bind(B,$thf( sk4 @ ( sk1 @ hazard_of_mortality ) ))]]) ).
thf(38637,plain,
! [A: $i] :
( ~ ( very_low @ ( A @ greater ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[522,3005]) ).
thf(25871,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( tau @ ( eta @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[25049,113]) ).
thf(25872,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( tau @ ( eta @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[25871]) ).
thf(25873,plain,
( ( sk3 @ ( sk1 @ age ) @ ( eta @ greater ) )
| ( tau @ ( eta @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[25872:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(33305,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(paramod_ordered,[status(thm)],[31634,115]) ).
thf(33306,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(simp,[status(thm)],[33305]) ).
thf(33307,plain,
( ( sk1 @ ( zero @ smaller ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(pattern_uni,[status(thm)],[33306:[bind(A,$thf( zero )),bind(B,$thf( sk1 ))]]) ).
thf(23115,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sigma @ ( tau @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[22591,113]) ).
thf(23116,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sigma @ ( tau @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[23115]) ).
thf(23117,plain,
( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
| ( sigma @ ( tau @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[23116:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(5729,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5480,107]) ).
thf(5730,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[5729]) ).
thf(5731,plain,
sk4 @ ( sk1 @ age ) @ ( tau @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[5730:[bind(A,$thf( tau )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(153,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( sigma @ greater ) ) )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[32,142]) ).
thf(154,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( zero @ ( sigma @ greater ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[153]) ).
thf(157,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[154]) ).
thf(3026,plain,
( ( very_low != zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 ) ),
inference(rewrite,[status(thm)],[157,3005]) ).
thf(12316,plain,
( ( ( high @ ( low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,1475]) ).
thf(12317,plain,
( ( ( high @ ( low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12316]) ).
thf(12405,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= high )
| ( low != eta )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12317]) ).
thf(469,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( A @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,26]) ).
thf(470,plain,
! [A: $i] :
( ( A @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( tau @ ( A @ greater ) )
| ( tau @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[469:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(44,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)],[39]) ).
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 ) )
= mod1 ) ),
inference(lifteq,[status(thm)],[44]) ).
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 ) )
= mod1 ) ),
inference(simp,[status(thm)],[49]) ).
thf(26004,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[24700,60]) ).
thf(26005,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[26004]) ).
thf(26006,plain,
( ~ ( sigma @ ( sk3 @ ( sk1 @ age ) @ greater ) )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(pattern_uni,[status(thm)],[26005:[bind(A,$thf( sigma )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(369,plain,
! [B: $i,A: $i] :
( ( B != sigma )
| ( A @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,34]) ).
thf(370,plain,
! [A: $i] :
( ( A @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( sigma @ ( A @ greater ) )
| ( sigma @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[369:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(8843,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk3 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[3147,107]) ).
thf(8844,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk3 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[8843]) ).
thf(8845,plain,
( ( sk3 @ ( sk4 @ smaller_or_equal ) )
| ( sk3 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[8844:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(7541,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,126]) ).
thf(7542,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7541]) ).
thf(7543,plain,
low @ ( mod2 @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7542:[bind(A,$thf( mod2 )),bind(B,$thf( low ))]]) ).
thf(4999,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)],[1613,107]) ).
thf(5000,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( low @ ( high @ greater ) ) ),
inference(simp,[status(thm)],[4999]) ).
thf(5001,plain,
( ( low @ ( high @ smaller_or_equal ) )
| ( low @ ( high @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5000:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(527,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( A @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,36]) ).
thf(528,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( A @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[527:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(40062,plain,
! [A: $i] :
( ~ ( very_low @ ( sk4 @ ( A @ hazard_of_mortality ) @ greater ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= very_low )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[528,3005]) ).
thf(335,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( A @ organization )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,21]) ).
thf(336,plain,
! [A: $i] :
( ( A @ organization )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[335:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(26101,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[24700,126]) ).
thf(26102,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[26101]) ).
thf(26103,plain,
( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater_or_equal ) )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(pattern_uni,[status(thm)],[26102:[bind(A,$thf( sigma )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(2238,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,1535]) ).
thf(2239,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[2238]) ).
thf(2279,plain,
( ( low != eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= very_low ) ),
inference(simp,[status(thm)],[2239]) ).
thf(385,plain,
! [B: $i,A: $i] :
( ( B != sigma )
| ( A @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,22]) ).
thf(386,plain,
! [A: $i] :
( ( A @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ( sigma @ ( A @ greater ) )
| ( sigma @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[385:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(313,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( mod1 @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,129]) ).
thf(314,plain,
! [A: $i] :
( ( mod1 @ ( A @ greater ) )
| ( high @ ( A @ greater ) )
| ( high @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[313:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(12384,plain,
( ( ( high @ ( low @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11819,1517]) ).
thf(12385,plain,
( ( ( high @ ( low @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12384]) ).
thf(12402,plain,
( ( high != eta )
| ( low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[12385]) ).
thf(11003,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( mod2 @ ( very_low @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4499,113]) ).
thf(11004,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( mod2 @ ( very_low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[11003]) ).
thf(11005,plain,
( ( very_low @ ( mod2 @ greater ) )
| ~ ( mod2 @ ( very_low @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[11004:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(70,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk6 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk5 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[63]) ).
thf(72,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk6 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk5 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[70]) ).
thf(20529,plain,
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( very_low @ ( low @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26,20458]) ).
thf(20530,plain,
( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[20529]) ).
thf(20543,plain,
( ( very_low != tau )
| ( ( sk3 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[20530]) ).
thf(96,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)],[94]) ).
thf(98,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)],[96]) ).
thf(99,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)],[98]) ).
thf(5980,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1600]) ).
thf(5981,plain,
! [A: $i] :
( ( A != low )
| ( high @ ( A @ greater ) )
| ~ ( high @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5980:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(7177,plain,
( ( high @ ( low @ greater ) )
| ~ ( high @ ( low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5981]) ).
thf(9522,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( eta @ ( zero @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4992,4553]) ).
thf(9523,plain,
( ( ( sk2 @ ( sk4 @ smaller_or_equal ) )
!= ( eta @ ( zero @ smaller_or_equal ) ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9522]) ).
thf(9628,plain,
( ( sk2 != eta )
| ( sk4 != zero )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[9523]) ).
thf(427,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( A @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,144]) ).
thf(428,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( A @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[427:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(24073,plain,
! [A: $i] :
( ( very_low != zero )
| ( ( sk4 @ ( A @ hazard_of_mortality ) )
!= eta )
| ( sk3 != sk2 )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[428,3005]) ).
thf(7550,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,126]) ).
thf(7551,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7550]) ).
thf(7552,plain,
very_low @ ( low @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7551:[bind(A,$thf( low )),bind(B,$thf( very_low ))]]) ).
thf(519,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,36]) ).
thf(520,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk3 @ ( A @ greater ) )
| ( sk3 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[519:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(38031,plain,
! [A: $i] :
( ~ ( very_low @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk3 @ ( A @ greater ) )
| ( sk3 @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[520,3005]) ).
thf(13085,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)],[12315,107]) ).
thf(13086,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[13085]) ).
thf(13087,plain,
( ( low @ ( high @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[13086:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(79,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)],[78]) ).
thf(87,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)],[79]) ).
thf(2195,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,1529]) ).
thf(2196,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[2195]) ).
thf(2215,plain,
( ( high != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[2196]) ).
thf(4355,plain,
! [B: $i,A: $i] :
( ( A != eta )
| ( B != zero )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[106,2040]) ).
thf(4356,plain,
! [A: $i] :
( ( A != zero )
| ( A @ ( eta @ smaller ) )
| ~ ( A @ ( eta @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4355:[bind(A,$thf( eta ))]]) ).
thf(4478,plain,
( ( zero @ ( eta @ smaller ) )
| ~ ( zero @ ( eta @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[4356]) ).
thf(9286,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( zero @ ( eta @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4478,113]) ).
thf(9287,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( zero @ ( eta @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9286]) ).
thf(9288,plain,
( ( eta @ ( zero @ greater ) )
| ~ ( zero @ ( eta @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[9287:[bind(A,$thf( eta )),bind(B,$thf( zero ))]]) ).
thf(15276,plain,
( $false
| ~ ( zero @ ( eta @ smaller_or_equal ) ) ),
inference(rewrite,[status(thm)],[9288,1517]) ).
thf(15277,plain,
~ ( zero @ ( eta @ smaller_or_equal ) ),
inference(simp,[status(thm)],[15276]) ).
thf(186,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( very_low @ ( low @ greater ) ) )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[55,142]) ).
thf(187,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( very_low @ ( low @ greater ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[186]) ).
thf(190,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= very_low )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[187]) ).
thf(1241,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( very_low != very_low )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( sk3 != sk2 )
| ~ ( A @ ( sk1 @ has_immunity ) ) ),
inference(paramod_ordered,[status(thm)],[1182,190]) ).
thf(1242,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( sk3 != sk2 )
| ~ ( A @ ( sk1 @ has_immunity ) ) ),
inference(simp,[status(thm)],[1241]) ).
thf(1243,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ has_immunity ) ) ),
inference(pattern_uni,[status(thm)],[1242:[bind(A,$thf( sk3 ))]]) ).
thf(2996,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( sk3 != sk2 )
| ~ $true ),
inference(rewrite,[status(thm)],[1243,2995]) ).
thf(2997,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= low )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[2996]) ).
thf(1564,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,1463]) ).
thf(1565,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[1564]) ).
thf(1590,plain,
( ( mod1 != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[1565]) ).
thf(31641,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( zero @ organization )
| ( zero @ ( sk1 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[26873,107]) ).
thf(31642,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sk1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( zero @ organization )
| ( zero @ ( sk1 @ greater ) ) ),
inference(simp,[status(thm)],[31641]) ).
thf(31643,plain,
( ( zero @ ( sk1 @ smaller_or_equal ) )
| ( zero @ organization )
| ( zero @ ( sk1 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[31642:[bind(A,$thf( sk1 )),bind(B,$thf( zero ))]]) ).
thf(277,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk4 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk3 != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,142]) ).
thf(278,plain,
! [A: $i] :
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[277:[bind(A,$thf( A )),bind(B,$thf( sk4 @ ( sk1 @ hazard_of_mortality ) ))]]) ).
thf(14083,plain,
! [A: $i] :
( ~ ( very_low @ ( A @ greater ) )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ smaller ) ) ),
inference(rewrite,[status(thm)],[278,3005]) ).
thf(2245,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,1535]) ).
thf(2246,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[2245]) ).
thf(2273,plain,
( ( low != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= very_low ) ),
inference(simp,[status(thm)],[2246]) ).
thf(303,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk4 @ ( sk1 @ age ) ) )
| ( eta @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,24]) ).
thf(304,plain,
! [A: $i] :
( ( eta @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[303:[bind(A,$thf( A )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(389,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( sigma @ ( sk4 @ ( A @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,22]) ).
thf(390,plain,
! [A: $i] :
( ( sigma @ ( sk4 @ ( A @ age ) @ greater ) )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[389:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(9905,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( mod2 @ ( low @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5467,4554]) ).
thf(9906,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( mod2 @ ( low @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9905]) ).
thf(9934,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9906]) ).
thf(10397,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,1517]) ).
thf(10398,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( eta @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10397]) ).
thf(10411,plain,
( ( mod2 != eta )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10398]) ).
thf(5008,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)],[1636,107]) ).
thf(5009,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[5008]) ).
thf(5010,plain,
( ( sk2 @ ( sk4 @ smaller_or_equal ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5009:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(67,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk6 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk5 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[63]) ).
thf(75,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk6 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk5 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[67]) ).
thf(32392,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( very_low @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( very_low != very_low )
| ~ ( A @ ( sk1 @ has_immunity ) ) ),
inference(paramod_ordered,[status(thm)],[1182,3029]) ).
thf(32393,plain,
! [A: $i] :
( ( ( A @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( very_low @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ ( A @ ( sk1 @ has_immunity ) ) ),
inference(simp,[status(thm)],[32392]) ).
thf(32394,plain,
( ~ ( very_low @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk2 @ ( sk1 @ has_immunity ) ) ),
inference(pattern_uni,[status(thm)],[32393:[bind(A,$thf( sk2 ))]]) ).
thf(10313,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)],[10073,107]) ).
thf(10314,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10313]) ).
thf(10315,plain,
( ( very_low @ ( mod2 @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[10314:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(1603,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,1599]) ).
thf(1604,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod1 @ greater ) )
| ( A @ ( mod1 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1603:[bind(A,$thf( mod1 ))]]) ).
thf(1607,plain,
( ( very_low @ ( mod1 @ greater ) )
| ( very_low @ ( mod1 @ smaller ) ) ),
inference(simp,[status(thm)],[1604]) ).
thf(5038,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)],[1607,107]) ).
thf(5039,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( very_low @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[5038]) ).
thf(5040,plain,
( ( very_low @ ( mod1 @ smaller_or_equal ) )
| ( very_low @ ( mod1 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[5039:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(16737,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( very_low @ ( mod1 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4638,113]) ).
thf(16738,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( very_low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[16737]) ).
thf(16739,plain,
( ( mod1 @ ( very_low @ greater ) )
| ~ ( very_low @ ( mod1 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[16738:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(477,plain,
! [B: $i,A: $i] :
( ( B != low )
| ( very_low @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,55]) ).
thf(478,plain,
! [A: $i] :
( ( very_low @ ( A @ greater ) )
| ( low @ ( A @ greater ) )
| ( low @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[477:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(20004,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(paramod_ordered,[status(thm)],[3988,113]) ).
thf(20005,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(simp,[status(thm)],[20004]) ).
thf(20006,plain,
( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(pattern_uni,[status(thm)],[20005:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(345,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( tau @ ( A @ ( sk1 @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,33]) ).
thf(346,plain,
! [A: $i] :
( ( tau @ ( A @ ( sk1 @ age ) @ greater ) )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[345:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(11651,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,60]) ).
thf(11652,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11651]) ).
thf(11653,plain,
( ~ ( very_low @ ( mod1 @ greater ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[11652:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(19320,plain,
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod2 @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34,19275]) ).
thf(19321,plain,
( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19320]) ).
thf(19378,plain,
( ( low != sigma )
| ( ( sk3 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[19321]) ).
thf(26075,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( A @ ( A @ greater ) ) )
| ~ $true
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[24700,1547]) ).
thf(26076,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( A @ ( A @ greater ) ) )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[26075]) ).
thf(26119,plain,
! [A: $i] :
( ( ( sk3 @ ( sk1 @ age ) )
!= A )
| ( sigma != A )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[26076]) ).
thf(26167,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= sigma )
| ~ ( eta @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[26119]) ).
thf(1554,plain,
( ( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,1463]) ).
thf(1555,plain,
( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[1554]) ).
thf(1593,plain,
( ( mod1 != zero )
| ( low != tau ) ),
inference(simp,[status(thm)],[1555]) ).
thf(11613,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,1475]) ).
thf(11614,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11613]) ).
thf(11695,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= mod1 )
| ( very_low != eta )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11614]) ).
thf(20909,plain,
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod1 @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34,20864]) ).
thf(20910,plain,
( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[20909]) ).
thf(20955,plain,
( ( low != sigma )
| ( ( sk3 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[20910]) ).
thf(299,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( eta @ ( A @ ( sk1 @ age ) @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,24]) ).
thf(300,plain,
! [A: $i] :
( ( eta @ ( A @ ( sk1 @ age ) @ greater ) )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[299:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(30,plain,
( ( sk1 @ fragile_position )
| ( sk1 @ robust_position ) ),
inference(cnfConj,[status(thm)],[20]) ).
thf(9894,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( high @ ( mod1 @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5022,4554]) ).
thf(9895,plain,
( ( ( sk4 @ ( sk2 @ smaller_or_equal ) )
!= ( high @ ( mod1 @ smaller_or_equal ) ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9894]) ).
thf(9937,plain,
( ( sk4 != high )
| ( sk2 != mod1 )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[9895]) ).
thf(1665,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,1481]) ).
thf(1666,plain,
( ( mod2 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1665]) ).
thf(1673,plain,
( ( mod2 != tau )
| ( high != zero ) ),
inference(simp,[status(thm)],[1666]) ).
thf(20939,plain,
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod1 @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,20864]) ).
thf(20940,plain,
( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[20939]) ).
thf(20952,plain,
( ( low != eta )
| ( ( sk3 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[20940]) ).
thf(357,plain,
! [B: $i,A: $i] :
( ( B != sigma )
| ( zero @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,32]) ).
thf(358,plain,
! [A: $i] :
( ( zero @ ( A @ greater ) )
| ( sigma @ ( A @ greater ) )
| ( sigma @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[357:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(19687,plain,
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod1 @ ( high @ smaller_or_equal ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26,19616]) ).
thf(19688,plain,
( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[19687]) ).
thf(19718,plain,
( ( mod1 != tau )
| ( ( sk3 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[19688]) ).
thf(23166,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,23165]) ).
thf(23167,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( eta @ ( sk3 @ ( sk1 @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[23166]) ).
thf(23271,plain,
( ( eta != eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) ) ),
inference(simp,[status(thm)],[23167]) ).
thf(23289,plain,
( ( sk4 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) ),
inference(simp,[status(thm)],[23271]) ).
thf(399,plain,
! [B: $i,A: $i] :
( ( B != zero )
| ( A @ ( eta @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,27]) ).
thf(400,plain,
! [A: $i] :
( ( A @ ( eta @ greater ) )
| ( zero @ ( A @ greater ) )
| ( zero @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[399:[bind(A,$thf( A )),bind(B,$thf( zero ))]]) ).
thf(2052,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,1523]) ).
thf(2053,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[2052]) ).
thf(2091,plain,
( ( mod2 != eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[2053]) ).
thf(141,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[135]) ).
thf(146,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[141]) ).
thf(3030,plain,
( ( very_low != zero )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(rewrite,[status(thm)],[146,3005]) ).
thf(7523,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,126]) ).
thf(7524,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7523]) ).
thf(7525,plain,
tau @ ( sk4 @ ( sk1 @ age ) @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7524:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(22626,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ age ) )
= tau ) ),
inference(paramod_ordered,[status(thm)],[4255,113]) ).
thf(22627,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= tau ) ),
inference(simp,[status(thm)],[22626]) ).
thf(22628,plain,
( ( sk3 @ ( sk1 @ age ) @ ( tau @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= tau ) ),
inference(pattern_uni,[status(thm)],[22627:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(2182,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,1529]) ).
thf(2183,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[2182]) ).
thf(2223,plain,
( ( high != eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[2183]) ).
thf(331,plain,
! [B: $i,A: $i] :
( ( B != zero )
| ( A @ ( tau @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,28]) ).
thf(332,plain,
! [A: $i] :
( ( A @ ( tau @ greater ) )
| ( zero @ ( A @ greater ) )
| ( zero @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[331:[bind(A,$thf( A )),bind(B,$thf( zero ))]]) ).
thf(245,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[33,142]) ).
thf(246,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[245]) ).
thf(250,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[246]) ).
thf(12855,plain,
( ( very_low != tau )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(rewrite,[status(thm)],[250,3005]) ).
thf(11657,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[11466,1487]) ).
thf(11658,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11657]) ).
thf(11707,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= mod1 )
| ( very_low != tau )
| ( high != very_low ) ),
inference(simp,[status(thm)],[11658]) ).
thf(9896,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( sk4 @ ( sk2 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4554,113]) ).
thf(9897,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( sk4 @ ( sk2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9896]) ).
thf(9898,plain,
( ( sk2 @ ( sk4 @ greater ) )
| ~ ( sk4 @ ( sk2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[9897:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(68,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(cnfConj,[status(thm)],[63]) ).
thf(1574,plain,
( ( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( eta @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,1463]) ).
thf(1575,plain,
( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( eta @ greater ) ) ),
inference(simp,[status(thm)],[1574]) ).
thf(1597,plain,
( ( mod1 != zero )
| ( low != eta ) ),
inference(simp,[status(thm)],[1575]) ).
thf(36497,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(paramod_ordered,[status(thm)],[33307,107]) ).
thf(36498,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(simp,[status(thm)],[36497]) ).
thf(36499,plain,
( ( sk1 @ ( zero @ smaller_or_equal ) )
| ( sk1 @ ( zero @ greater ) )
| ( zero @ organization ) ),
inference(pattern_uni,[status(thm)],[36498:[bind(A,$thf( zero )),bind(B,$thf( sk1 ))]]) ).
thf(20025,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( tau @ ( sigma @ smaller_or_equal ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[3988,26]) ).
thf(20026,plain,
( ( tau @ ( sigma @ smaller_or_equal ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[20025:[]]) ).
thf(3025,plain,
( ~ ( very_low @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 ) ),
inference(rewrite,[status(thm)],[142,3005]) ).
thf(10331,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10312,1475]) ).
thf(10332,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10331]) ).
thf(10421,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= mod2 )
| ( very_low != eta )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10332]) ).
thf(25007,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ age ) )
= eta ) ),
inference(paramod_ordered,[status(thm)],[4298,113]) ).
thf(25008,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= eta ) ),
inference(simp,[status(thm)],[25007]) ).
thf(25009,plain,
( ( sk3 @ ( sk1 @ age ) @ ( eta @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= eta ) ),
inference(pattern_uni,[status(thm)],[25008:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(5978,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,1600]) ).
thf(5979,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( high @ greater ) )
| ~ ( A @ ( high @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[5978:[bind(A,$thf( high ))]]) ).
thf(7176,plain,
( ( low @ ( high @ greater ) )
| ~ ( low @ ( high @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[5979]) ).
thf(441,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( mod2 @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,130]) ).
thf(442,plain,
! [A: $i] :
( ( mod2 @ ( A @ greater ) )
| ( high @ ( A @ greater ) )
| ( high @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[441:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(321,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( low @ ( A @ greater ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,91]) ).
thf(322,plain,
! [A: $i] :
( ( low @ ( A @ greater ) )
| ( mod1 @ ( A @ greater ) )
| ( mod1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[321:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(20633,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( tau @ ( sigma @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[20026,113]) ).
thf(20634,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( tau @ ( sigma @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[20633]) ).
thf(20635,plain,
( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
| ( tau @ ( sigma @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[20634:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(7529,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,126]) ).
thf(7530,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[7529]) ).
thf(7531,plain,
mod1 @ ( high @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[7530:[bind(A,$thf( high )),bind(B,$thf( mod1 ))]]) ).
thf(35065,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(paramod_ordered,[status(thm)],[20006,60]) ).
thf(35066,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ age ) @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(simp,[status(thm)],[35065]) ).
thf(35067,plain,
( ~ ( sigma @ ( sk3 @ ( sk1 @ age ) @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(pattern_uni,[status(thm)],[35066:[bind(A,$thf( sigma )),bind(B,$thf( sk3 @ ( sk1 @ age ) ))]]) ).
thf(1910,plain,
( ( ( low @ ( mod2 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,1505]) ).
thf(1911,plain,
( ( low @ ( mod2 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1910]) ).
thf(1917,plain,
( ( low != sigma )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[1911]) ).
thf(11249,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ~ ( sk3 @ ( sk4 @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[4704,113]) ).
thf(11250,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ ( sk3 @ ( sk4 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[11249]) ).
thf(11251,plain,
( ( sk4 @ ( sk3 @ greater ) )
| ~ ( sk3 @ ( sk4 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[11250:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(83,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnfConj,[status(thm)],[78]) ).
thf(2059,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,1523]) ).
thf(2060,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[2059]) ).
thf(2087,plain,
( ( mod2 != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[2060]) ).
thf(495,plain,
! [B: $i,A: $i] :
( ( B != sk3 )
| ( eta @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,23]) ).
thf(496,plain,
! [A: $i] :
( ( eta @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
| ( sk3 @ ( A @ greater ) )
| ( sk3 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[495:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(453,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( ( sk2 @ ( A @ age ) )
= zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[118,35]) ).
thf(454,plain,
! [A: $i] :
( ( ( sk2 @ ( A @ age ) )
= zero )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[453:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(6415,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk3 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[125,3138]) ).
thf(6416,plain,
! [A: $i] :
( ( A != sk3 )
| ( sk4 @ ( A @ greater ) )
| ~ ( sk4 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[6415:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(6948,plain,
( ( sk4 @ ( sk3 @ greater ) )
| ~ ( sk4 @ ( sk3 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[6416]) ).
thf(44098,plain,
$false,
inference(e,[status(thm)],[9929,1586,14885,2094,5561,21040,20544,468,7072,352,4992,88,2280,7549,1855,408,308,4711,7516,8883,1924,1596,115,2104,5037,56,19722,23251,12511,1919,1608,19565,4638,472,6877,17285,9625,39249,11699,24,1475,1529,436,37,288,1613,1601,12356,3029,5284,372,7528,110,11966,3148,12394,1511,2274,12407,125,34622,9629,19557,9612,46,5480,22659,57,316,11139,29,492,11441,15398,18273,376,15150,348,84,18773,5682,2105,7290,1632,19359,7537,106,16897,480,1928,8586,61,9928,6947,12315,10405,12411,1600,9923,116,10422,8033,74,29102,10062,60,4557,8842,5281,1636,12159,302,19703,9618,4499,18091,21,33,13250,28,36852,1676,392,1487,2032,5507,92,23636,3191,5492,65,97,4553,1687,3028,456,324,1634,11702,7540,12414,2498,25049,18400,5345,10413,7173,1856,1587,9936,20553,19556,14520,388,11435,53,109,1683,13782,5031,3179,9397,1182,19358,11892,10423,13805,6876,20967,20028,129,1852,1599,3005,31634,23588,3147,10058,73,128,360,1846,398,2089,9925,2995,18902,7074,4995,298,11705,10420,2028,444,23276,33420,5043,11805,10030,32,34,11148,8480,9594,25774,5016,15660,9617,4998,5474,22,17083,286,23279,12776,1535,118,5022,27,71,11819,4558,54,7534,11466,24700,10051,19466,466,20864,350,1675,86,11900,11792,7546,9623,4498,2642,2214,9614,81,12413,14803,76,2943,434,3138,32145,406,4704,113,1853,19616,38941,494,23249,4554,20458,91,2461,330,130,29217,9921,24311,35,7172,22591,2725,2096,24973,1684,8323,7718,11547,490,5587,2037,374,14438,31154,11689,48,29288,11694,23273,25461,10371,38637,25873,3988,4255,33307,1547,23117,5731,3026,12405,470,26688,50,1499,5467,2224,26006,370,8845,7543,5001,40062,336,26103,2279,386,3117,314,12402,11005,72,19275,4639,20543,3452,99,7177,9628,24073,7552,38031,13087,87,5510,31145,2215,1517,15277,2997,1590,31643,14083,26349,2273,304,26,1481,390,9934,55,10411,5010,23,26873,1523,4705,1861,75,9338,32394,10315,5040,16739,478,1607,20006,346,11653,119,58,5287,1614,19378,32036,26167,1593,11612,11695,20955,300,30,9937,51,10312,19,1673,10073,20952,107,126,358,5019,19718,23289,400,2091,3030,2040,7525,22628,23165,2223,332,12855,11707,9898,68,1597,36499,1505,20026,3025,10421,25009,7176,442,90,322,20635,7531,35067,1463,5445,1917,11251,83,2087,5293,496,454,6948,100,4298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT065+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 00:13:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.90/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.19 % [INFO] Parsing done (214ms).
% 1.49/1.20 % [INFO] Running in sequential loop mode.
% 2.16/1.61 % [INFO] eprover registered as external prover.
% 2.16/1.62 % [INFO] Scanning for conjecture ...
% 2.39/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ...
% 2.59/1.83 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms).
% 2.59/1.86 % [INFO] Problem is first-order (TPTP FOF).
% 2.59/1.87 % [INFO] Type checking passed.
% 2.59/1.87 % [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 ...
% 79.90/21.51 % External prover 'e' found a proof!
% 79.90/21.51 % [INFO] Killing All external provers ...
% 79.90/21.51 % Time passed: 20974ms (effective reasoning time: 20302ms)
% 79.90/21.52 % 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)>
% 79.90/21.52 % Axioms used in derivation (16): definition_2, assumption_18c, assumption_17, assumption_18b, assumption_18d, definition_smaller, meaning_postulate_greater_comparable, meaning_postulate_greater_transitive, meaning_postulate_greater_strict, definition_greater_or_equal, definition_1, assumption_13, assumption_18a, definition_smaller_or_equal, assumption_18e, assumption_15
% 79.90/21.52 % No. of inferences in proof: 1301
% 79.90/21.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 20974 ms resp. 20302 ms w/o parsing
% 82.55/22.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 82.67/22.21 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------