TSTP Solution File: MGT063+1 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : MGT063+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:50:13 EDT 2024
% Result : Theorem 125.64s 33.59s
% Output : Refutation 126.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 20
% Syntax : Number of formulae : 1924 ( 193 unt; 0 typ; 0 def)
% Number of atoms : 6818 (2625 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 18627 (3605 ~;3699 |; 111 &;11114 @)
% ( 8 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 16 con; 0-3 aty)
% Number of variables : 1295 ( 0 ^1292 !; 3 ?;1295 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(robust_position_type,type,
robust_position: $i > $o ).
thf(has_endowment_type,type,
has_endowment: $i > $o ).
thf(age_type,type,
age: $i > $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(sigma_type,type,
sigma: $i ).
thf(tau_type,type,
tau: $i ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(hazard_of_mortality_type,type,
hazard_of_mortality: $i > $i > $i ).
thf(has_immunity_type,type,
has_immunity: $i > $i > $o ).
thf(very_low_type,type,
very_low: $i ).
thf(is_aligned_type,type,
is_aligned: $i > $i > $o ).
thf(positional_advantage_type,type,
positional_advantage: $i > $i > $o ).
thf(low_type,type,
low: $i ).
thf(mod1_type,type,
mod1: $i ).
thf(mod2_type,type,
mod2: $i ).
thf(high_type,type,
high: $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(eta_type,type,
eta: $i ).
thf(dissimilar_type,type,
dissimilar: $i > $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i > $i ).
thf(sk7_type,type,
sk7: $i > $i ).
thf(sk8_type,type,
sk8: $i > $i ).
thf(sk9_type,type,
sk9: $i > $i ).
thf(9,axiom,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(69,plain,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A )
& ( robust_position @ A )
& ~ ( has_endowment @ A )
& ( ( age @ A @ B )
= zero )
& ( greater @ sigma @ zero )
& ( greater @ tau @ zero )
& ( smaller @ sigma @ tau )
& ( smaller_or_equal @ ( age @ A @ C ) @ sigma )
& ( greater @ ( age @ A @ D ) @ sigma )
& ( smaller_or_equal @ ( age @ A @ D ) @ tau )
& ( greater @ ( age @ A @ E ) @ tau ) )
=> ( ( smaller @ ( hazard_of_mortality @ A @ E ) @ ( hazard_of_mortality @ A @ C ) )
& ( smaller @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ D ) )
& ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_9) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A )
& ( robust_position @ A )
& ~ ( has_endowment @ A )
& ( ( age @ A @ B )
= zero )
& ( greater @ sigma @ zero )
& ( greater @ tau @ zero )
& ( smaller @ sigma @ tau )
& ( smaller_or_equal @ ( age @ A @ C ) @ sigma )
& ( greater @ ( age @ A @ D ) @ sigma )
& ( smaller_or_equal @ ( age @ A @ D ) @ tau )
& ( greater @ ( age @ A @ E ) @ tau ) )
=> ( ( smaller @ ( hazard_of_mortality @ A @ E ) @ ( hazard_of_mortality @ A @ C ) )
& ( smaller @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ D ) )
& ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(22,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A )
& ( robust_position @ A )
& ~ ( has_endowment @ A )
& ( ( age @ A @ B )
= zero )
& ( greater @ sigma @ zero )
& ( greater @ tau @ zero )
& ( smaller @ sigma @ tau )
& ( smaller_or_equal @ ( age @ A @ C ) @ sigma )
& ( greater @ ( age @ A @ D ) @ sigma )
& ( smaller_or_equal @ ( age @ A @ D ) @ tau )
& ( greater @ ( age @ A @ E ) @ tau ) )
=> ( ( smaller @ ( hazard_of_mortality @ A @ E ) @ ( hazard_of_mortality @ A @ C ) )
& ( smaller @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ D ) )
& ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(26,plain,
smaller @ sigma @ tau,
inference(cnf,[status(esa)],[22]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
<=> ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).
thf(130,plain,
! [A: $i,B: $i] :
( ( ( smaller @ A @ B )
=> ( greater @ B @ A ) )
& ( ( greater @ B @ A )
=> ( smaller @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(131,plain,
( ! [A: $i,B: $i] :
( ( smaller @ A @ B )
=> ( greater @ B @ A ) )
& ! [A: $i,B: $i] :
( ( greater @ B @ A )
=> ( smaller @ A @ B ) ) ),
inference(miniscope,[status(thm)],[130]) ).
thf(133,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
inference(cnf,[status(esa)],[131]) ).
thf(9394,plain,
! [B: $i,A: $i] :
( ( greater @ B @ A )
| ( ( smaller @ sigma @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[26,133]) ).
thf(9395,plain,
greater @ tau @ sigma,
inference(pattern_uni,[status(thm)],[9394:[bind(A,$thf( sigma )),bind(B,$thf( tau ))]]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( greater_or_equal @ A @ B )
<=> ( ( greater @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( ( greater_or_equal @ A @ B )
=> ( ( greater @ A @ B )
| ( A = B ) ) )
& ( ( ( greater @ A @ B )
| ( A = B ) )
=> ( greater_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(61,plain,
( ! [A: $i,B: $i] :
( ( greater_or_equal @ A @ B )
=> ( ( greater @ A @ B )
| ( A = B ) ) )
& ! [A: $i,B: $i] :
( ( ( greater @ A @ B )
| ( A = B ) )
=> ( greater_or_equal @ A @ B ) ) ),
inference(miniscope,[status(thm)],[60]) ).
thf(62,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(cnf,[status(esa)],[61]) ).
thf(65,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(simp,[status(thm)],[62]) ).
thf(9422,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ sigma )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9395,65]) ).
thf(9423,plain,
greater_or_equal @ tau @ sigma,
inference(pattern_uni,[status(thm)],[9422:[bind(A,$thf( tau )),bind(B,$thf( sigma ))]]) ).
thf(64,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
inference(cnf,[status(esa)],[61]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B ) ),
inference(lifteq,[status(thm)],[64]) ).
thf(29,plain,
smaller_or_equal @ ( age @ sk1 @ sk3 ) @ sigma,
inference(cnf,[status(esa)],[22]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( smaller_or_equal @ A @ B )
<=> ( ( smaller @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
thf(121,plain,
! [A: $i,B: $i] :
( ( ( smaller_or_equal @ A @ B )
=> ( ( smaller @ A @ B )
| ( A = B ) ) )
& ( ( ( smaller @ A @ B )
| ( A = B ) )
=> ( smaller_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(122,plain,
( ! [A: $i,B: $i] :
( ( smaller_or_equal @ A @ B )
=> ( ( smaller @ A @ B )
| ( A = B ) ) )
& ! [A: $i,B: $i] :
( ( ( smaller @ A @ B )
| ( A = B ) )
=> ( smaller_or_equal @ A @ B ) ) ),
inference(miniscope,[status(thm)],[121]) ).
thf(125,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
inference(cnf,[status(esa)],[122]) ).
thf(129,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B ) ),
inference(lifteq,[status(thm)],[125]) ).
thf(70,plain,
~ ? [A: $i,B: $i] :
( ( greater @ A @ B )
& ( greater @ B @ A ) ),
inference(miniscope,[status(thm)],[69]) ).
thf(71,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(cnf,[status(esa)],[70]) ).
thf(526,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( ( greater @ B @ A )
!= ( greater @ A @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[71]) ).
thf(527,plain,
! [A: $i] :
~ ( greater @ A @ A ),
inference(pattern_uni,[status(thm)],[526:[bind(A,$thf( B ))]]) ).
thf(528,plain,
! [A: $i] :
~ ( greater @ A @ A ),
inference(simp,[status(thm)],[527]) ).
thf(9445,plain,
! [A: $i] :
( ( greater @ tau @ sigma )
!= ( greater @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[9395,528]) ).
thf(9466,plain,
! [A: $i] :
( ( tau != A )
| ( sigma != A ) ),
inference(simp,[status(thm)],[9445]) ).
thf(9480,plain,
tau != sigma,
inference(simp,[status(thm)],[9466]) ).
thf(9485,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != sigma )
| ( A != tau ) ),
inference(paramod_ordered,[status(thm)],[129,9480]) ).
thf(9486,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ tau @ A )
| ( smaller @ tau @ A )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9485:[bind(A,$thf( tau ))]]) ).
thf(9498,plain,
( ~ ( smaller_or_equal @ tau @ sigma )
| ( smaller @ tau @ sigma ) ),
inference(simp,[status(thm)],[9486]) ).
thf(19707,plain,
( ( smaller @ tau @ sigma )
| ( ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ sigma )
!= ( smaller_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[29,9498]) ).
thf(19762,plain,
( ( smaller @ tau @ sigma )
| ( ( age @ sk1 @ sk3 )
!= tau )
| ( sigma != sigma ) ),
inference(simp,[status(thm)],[19707]) ).
thf(19799,plain,
( ( smaller @ tau @ sigma )
| ( ( age @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[19762]) ).
thf(21223,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= tau )
| ( greater @ B @ A )
| ( ( smaller @ tau @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[19799,133]) ).
thf(21224,plain,
( ( ( age @ sk1 @ sk3 )
!= tau )
| ( greater @ sigma @ tau ) ),
inference(pattern_uni,[status(thm)],[21223:[bind(A,$thf( tau )),bind(B,$thf( sigma ))]]) ).
thf(9438,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ tau @ sigma )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9395,71]) ).
thf(9439,plain,
~ ( greater @ sigma @ tau ),
inference(pattern_uni,[status(thm)],[9438:[bind(A,$thf( tau )),bind(B,$thf( sigma ))]]) ).
thf(21418,plain,
( ( ( age @ sk1 @ sk3 )
!= tau )
| $false ),
inference(rewrite,[status(thm)],[21224,9439]) ).
thf(21419,plain,
( ( age @ sk1 @ sk3 )
!= tau ),
inference(simp,[status(thm)],[21418]) ).
thf(21451,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != tau )
| ( B
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[68,21419]) ).
thf(21452,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( age @ sk1 @ sk3 ) )
| ( greater @ A @ ( age @ sk1 @ sk3 ) )
| ( A != tau ) ),
inference(pattern_uni,[status(thm)],[21451:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(21461,plain,
( ~ ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[21452]) ).
thf(55447,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,21461]) ).
thf(55527,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( tau != tau )
| ( ( age @ sk1 @ sk3 )
!= sigma ) ),
inference(simp,[status(thm)],[55447]) ).
thf(55561,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= sigma ) ),
inference(simp,[status(thm)],[55527]) ).
thf(132,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( smaller @ A @ B ) ),
inference(cnf,[status(esa)],[131]) ).
thf(134,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( smaller @ A @ B ) ),
inference(simp,[status(thm)],[132]) ).
thf(58464,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( smaller @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[55561,134]) ).
thf(58465,plain,
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[58464:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(21,axiom,
greater @ high @ mod2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d) ).
thf(140,plain,
greater @ high @ mod2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(4,axiom,
greater @ mod2 @ low,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).
thf(53,plain,
greater @ mod2 @ low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(482,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ mod2 @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[53,71]) ).
thf(483,plain,
~ ( greater @ low @ mod2 ),
inference(pattern_uni,[status(thm)],[482:[bind(A,$thf( mod2 )),bind(B,$thf( low ))]]) ).
thf(744,plain,
( ( greater @ high @ mod2 )
!= ( greater @ low @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[140,483]) ).
thf(757,plain,
( ( high != low )
| ( mod2 != mod2 ) ),
inference(simp,[status(thm)],[744]) ).
thf(760,plain,
high != low,
inference(simp,[status(thm)],[757]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
<=> ( ( organization @ A )
& ~ ( ( is_aligned @ A @ B )
<=> ( is_aligned @ A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
thf(99,plain,
! [A: $i,B: $i,C: $i] :
( ( ( dissimilar @ A @ B @ C )
=> ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) ) )
& ( ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) )
=> ( dissimilar @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(100,plain,
( ! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
=> ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) )
=> ( dissimilar @ A @ B @ C ) ) ),
inference(miniscope,[status(thm)],[99]) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ~ ( is_aligned @ A @ C )
| ~ ( is_aligned @ A @ B ) ),
inference(cnf,[status(esa)],[100]) ).
thf(7568,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( smaller @ A @ B )
| ( ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ sigma )
!= ( smaller_or_equal @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[29,129]) ).
thf(7569,plain,
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( smaller @ ( age @ sk1 @ sk3 ) @ sigma ) ),
inference(pattern_uni,[status(thm)],[7568:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( sigma ))]]) ).
thf(19,axiom,
greater @ mod2 @ mod1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
thf(138,plain,
greater @ mod2 @ mod1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(478,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ mod2 @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[138,71]) ).
thf(479,plain,
~ ( greater @ mod1 @ mod2 ),
inference(pattern_uni,[status(thm)],[478:[bind(A,$thf( mod2 )),bind(B,$thf( mod1 ))]]) ).
thf(260,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ mod2 @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[138,65]) ).
thf(261,plain,
greater_or_equal @ mod2 @ mod1,
inference(pattern_uni,[status(thm)],[260:[bind(A,$thf( mod2 )),bind(B,$thf( mod1 ))]]) ).
thf(33,plain,
( ( age @ sk1 @ sk2 )
= zero ),
inference(cnf,[status(esa)],[22]) ).
thf(35,plain,
( ( age @ sk1 @ sk2 )
= zero ),
inference(lifteq,[status(thm)],[33]) ).
thf(27,plain,
greater @ ( age @ sk1 @ sk5 ) @ tau,
inference(cnf,[status(esa)],[22]) ).
thf(176,plain,
( ( greater @ zero @ tau )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[35,27]) ).
thf(177,plain,
( ( greater @ zero @ tau )
| ( sk1 != sk1 )
| ( sk5 != sk2 ) ),
inference(simp,[status(thm)],[176]) ).
thf(178,plain,
( ( greater @ zero @ tau )
| ( sk5 != sk2 ) ),
inference(simp,[status(thm)],[177]) ).
thf(24,plain,
greater @ tau @ zero,
inference(cnf,[status(esa)],[22]) ).
thf(490,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ tau @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24,71]) ).
thf(491,plain,
~ ( greater @ zero @ tau ),
inference(pattern_uni,[status(thm)],[490:[bind(A,$thf( tau )),bind(B,$thf( zero ))]]) ).
thf(624,plain,
( $false
| ( sk5 != sk2 ) ),
inference(rewrite,[status(thm)],[178,491]) ).
thf(625,plain,
sk5 != sk2,
inference(simp,[status(thm)],[624]) ).
thf(2861,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != sk2 )
| ( B != sk5 ) ),
inference(paramod_ordered,[status(thm)],[68,625]) ).
thf(2862,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ sk5 )
| ( greater @ A @ sk5 )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[2861:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(3581,plain,
( ~ ( greater_or_equal @ sk2 @ sk5 )
| ( greater @ sk2 @ sk5 ) ),
inference(simp,[status(thm)],[2862]) ).
thf(6612,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ mod2 @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[261,3581]) ).
thf(6651,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != mod2 )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[6612]) ).
thf(270,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24,65]) ).
thf(271,plain,
greater_or_equal @ tau @ zero,
inference(pattern_uni,[status(thm)],[270:[bind(A,$thf( tau )),bind(B,$thf( zero ))]]) ).
thf(5,axiom,
greater @ low @ very_low,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c) ).
thf(54,plain,
greater @ low @ very_low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(742,plain,
( ( greater @ low @ mod2 )
!= ( greater @ low @ very_low ) ),
inference(paramod_ordered,[status(thm)],[54,483]) ).
thf(751,plain,
( ( low != low )
| ( mod2 != very_low ) ),
inference(simp,[status(thm)],[742]) ).
thf(761,plain,
mod2 != very_low,
inference(simp,[status(thm)],[751]) ).
thf(2823,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != very_low )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[68,761]) ).
thf(2824,plain,
! [A: $i] :
( ~ ( greater_or_equal @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2823:[bind(A,$thf( mod2 ))]]) ).
thf(3571,plain,
( ~ ( greater_or_equal @ mod2 @ very_low )
| ( greater @ mod2 @ very_low ) ),
inference(simp,[status(thm)],[2824]) ).
thf(7082,plain,
( ( greater @ mod2 @ very_low )
| ( ( greater_or_equal @ mod2 @ very_low )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,3571]) ).
thf(7100,plain,
( ( greater @ mod2 @ very_low )
| ( mod2 != tau )
| ( very_low != zero ) ),
inference(simp,[status(thm)],[7082]) ).
thf(276,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ low @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[54,65]) ).
thf(277,plain,
greater_or_equal @ low @ very_low,
inference(pattern_uni,[status(thm)],[276:[bind(A,$thf( low )),bind(B,$thf( very_low ))]]) ).
thf(2859,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != sk2 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[68,625]) ).
thf(2860,plain,
! [A: $i] :
( ~ ( greater_or_equal @ sk5 @ A )
| ( greater @ sk5 @ A )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[2859:[bind(A,$thf( sk5 ))]]) ).
thf(3580,plain,
( ~ ( greater_or_equal @ sk5 @ sk2 )
| ( greater @ sk5 @ sk2 ) ),
inference(simp,[status(thm)],[2860]) ).
thf(6442,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ low @ very_low ) ) ),
inference(paramod_ordered,[status(thm)],[277,3580]) ).
thf(6445,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != low )
| ( sk2 != very_low ) ),
inference(simp,[status(thm)],[6442]) ).
thf(31317,plain,
( ( sk5 != low )
| ( sk2 != very_low )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ low @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6445,483]) ).
thf(31348,plain,
( ( sk5 != low )
| ( sk2 != very_low )
| ( sk5 != low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[31317]) ).
thf(31391,plain,
( ( sk5 != low )
| ( sk2 != very_low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[31348]) ).
thf(530,plain,
( ( greater @ high @ mod2 )
!= ( greater @ mod1 @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[140,479]) ).
thf(542,plain,
( ( high != mod1 )
| ( mod2 != mod2 ) ),
inference(simp,[status(thm)],[530]) ).
thf(555,plain,
high != mod1,
inference(simp,[status(thm)],[542]) ).
thf(266,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ high @ mod2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[140,65]) ).
thf(267,plain,
greater_or_equal @ high @ mod2,
inference(pattern_uni,[status(thm)],[266:[bind(A,$thf( high )),bind(B,$thf( mod2 ))]]) ).
thf(31,plain,
greater @ ( age @ sk1 @ sk4 ) @ sigma,
inference(cnf,[status(esa)],[22]) ).
thf(182,plain,
( ( greater @ zero @ sigma )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[35,31]) ).
thf(183,plain,
( ( greater @ zero @ sigma )
| ( sk1 != sk1 )
| ( sk4 != sk2 ) ),
inference(simp,[status(thm)],[182]) ).
thf(184,plain,
( ( greater @ zero @ sigma )
| ( sk4 != sk2 ) ),
inference(simp,[status(thm)],[183]) ).
thf(23,plain,
greater @ sigma @ zero,
inference(cnf,[status(esa)],[22]) ).
thf(518,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ sigma @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[23,71]) ).
thf(519,plain,
~ ( greater @ zero @ sigma ),
inference(pattern_uni,[status(thm)],[518:[bind(A,$thf( sigma )),bind(B,$thf( zero ))]]) ).
thf(1834,plain,
( $false
| ( sk4 != sk2 ) ),
inference(rewrite,[status(thm)],[184,519]) ).
thf(1835,plain,
sk4 != sk2,
inference(simp,[status(thm)],[1834]) ).
thf(2531,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != sk2 )
| ( A != sk4 ) ),
inference(paramod_ordered,[status(thm)],[68,1835]) ).
thf(2532,plain,
! [A: $i] :
( ~ ( greater_or_equal @ sk4 @ A )
| ( greater @ sk4 @ A )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[2531:[bind(A,$thf( sk4 ))]]) ).
thf(3485,plain,
( ~ ( greater_or_equal @ sk4 @ sk2 )
| ( greater @ sk4 @ sk2 ) ),
inference(simp,[status(thm)],[2532]) ).
thf(6176,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ high @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[267,3485]) ).
thf(6195,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != high )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[6176]) ).
thf(23584,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ low @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6195,483]) ).
thf(23616,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ( sk4 != low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[23584]) ).
thf(23640,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[23616]) ).
thf(14,axiom,
greater @ mod1 @ low,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
thf(113,plain,
greater @ mod1 @ low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(502,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ low @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[54,71]) ).
thf(503,plain,
~ ( greater @ very_low @ low ),
inference(pattern_uni,[status(thm)],[502:[bind(A,$thf( low )),bind(B,$thf( very_low ))]]) ).
thf(2173,plain,
( ( greater @ mod1 @ low )
!= ( greater @ very_low @ low ) ),
inference(paramod_ordered,[status(thm)],[113,503]) ).
thf(2178,plain,
( ( mod1 != very_low )
| ( low != low ) ),
inference(simp,[status(thm)],[2173]) ).
thf(2188,plain,
mod1 != very_low,
inference(simp,[status(thm)],[2178]) ).
thf(8000,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != very_low )
| ( B != mod1 ) ),
inference(paramod_ordered,[status(thm)],[129,2188]) ).
thf(8001,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ mod1 )
| ( smaller @ A @ mod1 )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[8000:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(9222,plain,
( ~ ( smaller_or_equal @ very_low @ mod1 )
| ( smaller @ very_low @ mod1 ) ),
inference(simp,[status(thm)],[8001]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(135,plain,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(136,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(cnf,[status(esa)],[135]) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( smaller @ A @ B )
| ( greater @ A @ B ) ),
inference(lifteq,[status(thm)],[136]) ).
thf(10,axiom,
! [A: $i] :
( ( robust_position @ A )
<=> ! [B: $i] :
( ( ( smaller_or_equal @ ( age @ A @ B ) @ tau )
=> ~ ( positional_advantage @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ tau )
=> ( positional_advantage @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
thf(72,plain,
! [A: $i] :
( ( ( robust_position @ A )
=> ! [B: $i] :
( ( ( smaller_or_equal @ ( age @ A @ B ) @ tau )
=> ~ ( positional_advantage @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ tau )
=> ( positional_advantage @ A @ B ) ) ) )
& ( ! [B: $i] :
( ( ( smaller_or_equal @ ( age @ A @ B ) @ tau )
=> ~ ( positional_advantage @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ tau )
=> ( positional_advantage @ A @ B ) ) )
=> ( robust_position @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(73,plain,
( ! [A: $i] :
( ( robust_position @ A )
=> ( ! [B: $i] :
( ( smaller_or_equal @ ( age @ A @ B ) @ tau )
=> ~ ( positional_advantage @ A @ B ) )
& ! [B: $i] :
( ( greater @ ( age @ A @ B ) @ tau )
=> ( positional_advantage @ A @ B ) ) ) )
& ! [A: $i] :
( ( ! [B: $i] :
( ( smaller_or_equal @ ( age @ A @ B ) @ tau )
=> ~ ( positional_advantage @ A @ B ) )
& ! [B: $i] :
( ( greater @ ( age @ A @ B ) @ tau )
=> ( positional_advantage @ A @ B ) ) )
=> ( robust_position @ A ) ) ),
inference(miniscope,[status(thm)],[72]) ).
thf(79,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ),
inference(cnf,[status(esa)],[73]) ).
thf(84,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ),
inference(simp,[status(thm)],[79]) ).
thf(4277,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ( positional_advantage @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ ( age @ A @ B ) @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[27,84]) ).
thf(4278,plain,
( ~ ( robust_position @ sk1 )
| ( positional_advantage @ sk1 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[4277:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(28,plain,
robust_position @ sk1,
inference(cnf,[status(esa)],[22]) ).
thf(4424,plain,
( ~ $true
| ( positional_advantage @ sk1 @ sk5 ) ),
inference(rewrite,[status(thm)],[4278,28]) ).
thf(4425,plain,
positional_advantage @ sk1 @ sk5,
inference(simp,[status(thm)],[4424]) ).
thf(25,plain,
smaller_or_equal @ ( age @ sk1 @ sk4 ) @ tau,
inference(cnf,[status(esa)],[22]) ).
thf(77,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ),
inference(cnf,[status(esa)],[73]) ).
thf(3838,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( positional_advantage @ A @ B )
| ( ( smaller_or_equal @ ( age @ sk1 @ sk4 ) @ tau )
!= ( smaller_or_equal @ ( age @ A @ B ) @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[25,77]) ).
thf(3839,plain,
( ~ ( robust_position @ sk1 )
| ~ ( positional_advantage @ sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[3838:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(4387,plain,
( ~ $true
| ~ ( positional_advantage @ sk1 @ sk4 ) ),
inference(rewrite,[status(thm)],[3839,28]) ).
thf(4388,plain,
~ ( positional_advantage @ sk1 @ sk4 ),
inference(simp,[status(thm)],[4387]) ).
thf(4439,plain,
( ( positional_advantage @ sk1 @ sk5 )
!= ( positional_advantage @ sk1 @ sk4 ) ),
inference(paramod_ordered,[status(thm)],[4425,4388]) ).
thf(4451,plain,
( ( sk1 != sk1 )
| ( sk5 != sk4 ) ),
inference(simp,[status(thm)],[4439]) ).
thf(4454,plain,
sk5 != sk4,
inference(simp,[status(thm)],[4451]) ).
thf(4463,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sk4 )
| ( B != sk5 ) ),
inference(paramod_ordered,[status(thm)],[137,4454]) ).
thf(4464,plain,
! [A: $i] :
( ( smaller @ A @ sk5 )
| ( greater @ A @ sk5 )
| ( A != sk4 ) ),
inference(pattern_uni,[status(thm)],[4463:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(4469,plain,
( ( smaller @ sk4 @ sk5 )
| ( greater @ sk4 @ sk5 ) ),
inference(simp,[status(thm)],[4464]) ).
thf(9388,plain,
! [B: $i,A: $i] :
( ( greater @ sk4 @ sk5 )
| ( greater @ B @ A )
| ( ( smaller @ sk4 @ sk5 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4469,133]) ).
thf(9389,plain,
( ( greater @ sk4 @ sk5 )
| ( greater @ sk5 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[9388:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(18310,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ sk4 @ sk5 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[9389]) ).
thf(18328,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ sk4 @ sk5 ) ) ),
inference(simp,[status(thm)],[18310]) ).
thf(264,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ mod1 @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[113,65]) ).
thf(265,plain,
greater_or_equal @ mod1 @ low,
inference(pattern_uni,[status(thm)],[264:[bind(A,$thf( mod1 )),bind(B,$thf( low ))]]) ).
thf(6415,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ mod1 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[265,3580]) ).
thf(6453,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != mod1 )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[6415]) ).
thf(20,axiom,
greater @ high @ mod1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a) ).
thf(139,plain,
greater @ high @ mod1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(514,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ high @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[139,71]) ).
thf(515,plain,
~ ( greater @ mod1 @ high ),
inference(pattern_uni,[status(thm)],[514:[bind(A,$thf( high )),bind(B,$thf( mod1 ))]]) ).
thf(35096,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ mod1 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[6453,515]) ).
thf(35183,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( sk5 != mod1 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[35096]) ).
thf(35210,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[35183]) ).
thf(2196,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != mod1 ) ),
inference(paramod_ordered,[status(thm)],[137,2188]) ).
thf(2197,plain,
! [A: $i] :
( ( smaller @ A @ mod1 )
| ( greater @ A @ mod1 )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2196:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(2199,plain,
( ( smaller @ very_low @ mod1 )
| ( greater @ very_low @ mod1 ) ),
inference(simp,[status(thm)],[2197]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(55,plain,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
inference(cnf,[status(esa)],[55]) ).
thf(2093,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater @ A @ C )
| ( ( greater @ tau @ zero )
!= ( greater @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[24,56]) ).
thf(2094,plain,
! [A: $i] :
( ~ ( greater @ A @ tau )
| ( greater @ A @ zero ) ),
inference(pattern_uni,[status(thm)],[2093:[bind(A,$thf( A )),bind(B,$thf( tau )),bind(C,$thf( zero ))]]) ).
thf(2101,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater @ A @ C )
| ( ( greater @ mod2 @ low )
!= ( greater @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[53,56]) ).
thf(2102,plain,
! [A: $i] :
( ~ ( greater @ A @ mod2 )
| ( greater @ A @ low ) ),
inference(pattern_uni,[status(thm)],[2101:[bind(A,$thf( A )),bind(B,$thf( mod2 )),bind(C,$thf( low ))]]) ).
thf(125605,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[31,2102]) ).
thf(125653,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( age @ sk1 @ sk4 )
!= A )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[125605]) ).
thf(125846,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ low )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[125653]) ).
thf(136432,plain,
( ( mod2 != sigma )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ low )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125846,503]) ).
thf(136604,plain,
( ( mod2 != sigma )
| ( ( age @ sk1 @ sk4 )
!= very_low )
| ( low != low ) ),
inference(simp,[status(thm)],[136432]) ).
thf(136647,plain,
( ( mod2 != sigma )
| ( ( age @ sk1 @ sk4 )
!= very_low ) ),
inference(simp,[status(thm)],[136604]) ).
thf(2517,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != low )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[68,760]) ).
thf(2518,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ high )
| ( greater @ A @ high )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[2517:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(3480,plain,
( ~ ( greater_or_equal @ low @ high )
| ( greater @ low @ high ) ),
inference(simp,[status(thm)],[2518]) ).
thf(9523,plain,
( ( greater @ low @ high )
| ( ( greater_or_equal @ low @ high )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3480]) ).
thf(9542,plain,
( ( greater @ low @ high )
| ( low != tau )
| ( high != sigma ) ),
inference(simp,[status(thm)],[9523]) ).
thf(51453,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( high != sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ low @ high )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9542,71]) ).
thf(51454,plain,
( ( low != tau )
| ( high != sigma )
| ~ ( greater @ high @ low ) ),
inference(pattern_uni,[status(thm)],[51453:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(125588,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( greater @ high @ mod2 )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[140,2102]) ).
thf(125589,plain,
greater @ high @ low,
inference(pattern_uni,[status(thm)],[125588:[bind(A,$thf( high ))]]) ).
thf(125890,plain,
( ( low != tau )
| ( high != sigma )
| ~ $true ),
inference(rewrite,[status(thm)],[51454,125589]) ).
thf(125891,plain,
( ( low != tau )
| ( high != sigma ) ),
inference(simp,[status(thm)],[125890]) ).
thf(4465,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != sk4 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[68,4454]) ).
thf(4466,plain,
! [A: $i] :
( ~ ( greater_or_equal @ sk5 @ A )
| ( greater @ sk5 @ A )
| ( A != sk4 ) ),
inference(pattern_uni,[status(thm)],[4465:[bind(A,$thf( sk5 ))]]) ).
thf(4470,plain,
( ~ ( greater_or_equal @ sk5 @ sk4 )
| ( greater @ sk5 @ sk4 ) ),
inference(simp,[status(thm)],[4466]) ).
thf(13793,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,4470]) ).
thf(13829,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != tau )
| ( sk4 != sigma ) ),
inference(simp,[status(thm)],[13793]) ).
thf(64879,plain,
( ( sk5 != tau )
| ( sk4 != sigma )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ zero @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[13829,519]) ).
thf(64954,plain,
( ( sk5 != tau )
| ( sk4 != sigma )
| ( sk5 != zero )
| ( sk4 != sigma ) ),
inference(simp,[status(thm)],[64879]) ).
thf(65004,plain,
( ( sk5 != tau )
| ( sk4 != sigma )
| ( sk5 != zero ) ),
inference(simp,[status(thm)],[64954]) ).
thf(9436,plain,
( ( greater @ very_low @ low )
!= ( greater @ tau @ sigma ) ),
inference(paramod_ordered,[status(thm)],[9395,503]) ).
thf(9458,plain,
( ( very_low != tau )
| ( low != sigma ) ),
inference(simp,[status(thm)],[9436]) ).
thf(100509,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ mod2 @ mod1 )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[138,2094]) ).
thf(100679,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( mod2 != A )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[100509]) ).
thf(100794,plain,
( ( greater @ mod2 @ zero )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[100679]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( organization @ A )
=> ( ( ( has_immunity @ A @ B )
=> ( ( hazard_of_mortality @ A @ B )
= very_low ) )
& ( ~ ( has_immunity @ A @ B )
=> ( ( ( ( is_aligned @ A @ B )
& ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= low ) )
& ( ( ~ ( is_aligned @ A @ B )
& ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= mod1 ) )
& ( ( ( is_aligned @ A @ B )
& ~ ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= mod2 ) )
& ( ( ~ ( is_aligned @ A @ B )
& ~ ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= high ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( organization @ A )
=> ( ( ( has_immunity @ A @ B )
=> ( ( hazard_of_mortality @ A @ B )
= very_low ) )
& ( ~ ( has_immunity @ A @ B )
=> ( ( ( ( is_aligned @ A @ B )
& ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= low ) )
& ( ( ~ ( is_aligned @ A @ B )
& ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= mod1 ) )
& ( ( ( is_aligned @ A @ B )
& ~ ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= mod2 ) )
& ( ( ~ ( is_aligned @ A @ B )
& ~ ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= high ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(38,plain,
! [A: $i] :
( ( organization @ A )
=> ( ! [B: $i] :
( ( has_immunity @ A @ B )
=> ( ( hazard_of_mortality @ A @ B )
= very_low ) )
& ! [B: $i] :
( ~ ( has_immunity @ A @ B )
=> ( ( ( ( is_aligned @ A @ B )
& ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= low ) )
& ( ( ~ ( is_aligned @ A @ B )
& ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= mod1 ) )
& ( ( ( is_aligned @ A @ B )
& ~ ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= mod2 ) )
& ( ( ~ ( is_aligned @ A @ B )
& ~ ( positional_advantage @ A @ B ) )
=> ( ( hazard_of_mortality @ A @ B )
= high ) ) ) ) ) ),
inference(miniscope,[status(thm)],[37]) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= low ) ),
inference(cnf,[status(esa)],[38]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= low )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B ) ),
inference(lifteq,[status(thm)],[43]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= low )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B ) ),
inference(simp,[status(thm)],[49]) ).
thf(32,plain,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
inference(cnf,[status(esa)],[22]) ).
thf(36,plain,
( ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(lifteq,[status(thm)],[32]) ).
thf(141,plain,
( ( sk1 != sk1 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[36]) ).
thf(149,plain,
( ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[141]) ).
thf(153,plain,
( ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
!= ( smaller @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[26,149]) ).
thf(157,plain,
( ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[153]) ).
thf(661,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,157]) ).
thf(662,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[661:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(30,plain,
organization @ sk1,
inference(cnf,[status(esa)],[22]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( organization @ A )
& ~ ( has_endowment @ A ) )
=> ~ ( has_immunity @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( ( organization @ A )
& ~ ( has_endowment @ A ) )
=> ~ ( has_immunity @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(58,plain,
! [A: $i] :
( ( ( organization @ A )
& ~ ( has_endowment @ A ) )
=> ~ ? [B: $i] : ( has_immunity @ A @ B ) ),
inference(miniscope,[status(thm)],[57]) ).
thf(59,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_endowment @ A )
| ~ ( has_immunity @ A @ B ) ),
inference(cnf,[status(esa)],[58]) ).
thf(2324,plain,
! [B: $i,A: $i] :
( ( has_endowment @ A )
| ~ ( has_immunity @ A @ B )
| ( ( organization @ sk1 )
!= ( organization @ A ) ) ),
inference(paramod_ordered,[status(thm)],[30,59]) ).
thf(2325,plain,
! [A: $i] :
( ( has_endowment @ sk1 )
| ~ ( has_immunity @ sk1 @ A ) ),
inference(pattern_uni,[status(thm)],[2324:[bind(A,$thf( sk1 ))]]) ).
thf(2326,plain,
! [A: $i] :
( ( has_endowment @ sk1 )
| ~ ( has_immunity @ sk1 @ A ) ),
inference(simp,[status(thm)],[2325]) ).
thf(34,plain,
~ ( has_endowment @ sk1 ),
inference(cnf,[status(esa)],[22]) ).
thf(5730,plain,
! [A: $i] :
( $false
| ~ ( has_immunity @ sk1 @ A ) ),
inference(rewrite,[status(thm)],[2326,34]) ).
thf(5731,plain,
! [A: $i] :
~ ( has_immunity @ sk1 @ A ),
inference(simp,[status(thm)],[5730]) ).
thf(103711,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(rewrite,[status(thm)],[662,5731,30]) ).
thf(103712,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[103711]) ).
thf(486,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ high @ mod2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[140,71]) ).
thf(487,plain,
~ ( greater @ mod2 @ high ),
inference(pattern_uni,[status(thm)],[486:[bind(A,$thf( high )),bind(B,$thf( mod2 ))]]) ).
thf(1988,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ mod2 @ high ) ),
inference(paramod_ordered,[status(thm)],[27,487]) ).
thf(1995,plain,
( ( ( age @ sk1 @ sk5 )
!= mod2 )
| ( high != tau ) ),
inference(simp,[status(thm)],[1988]) ).
thf(125517,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( greater @ tau @ zero )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[24,2102]) ).
thf(125671,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( tau != A )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[125517]) ).
thf(125864,plain,
( ( greater @ tau @ low )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[125671]) ).
thf(129363,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125864,65]) ).
thf(129364,plain,
( ( mod2 != zero )
| ( greater_or_equal @ tau @ low ) ),
inference(pattern_uni,[status(thm)],[129363:[bind(A,$thf( tau )),bind(B,$thf( low ))]]) ).
thf(510,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[31,71]) ).
thf(511,plain,
~ ( greater @ sigma @ ( age @ sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[510:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( sigma ))]]) ).
thf(3908,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ sigma @ ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[31,511]) ).
thf(3930,plain,
( ( ( age @ sk1 @ sk4 )
!= sigma )
| ( ( age @ sk1 @ sk4 )
!= sigma ) ),
inference(simp,[status(thm)],[3908]) ).
thf(3942,plain,
( ( age @ sk1 @ sk4 )
!= sigma ),
inference(simp,[status(thm)],[3930]) ).
thf(24079,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7569,3942]) ).
thf(24299,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( sk1 != sk1 )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[24079]) ).
thf(24454,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[24299]) ).
thf(24478,plain,
! [B: $i,A: $i] :
( ( sk4 != sk3 )
| ( greater @ B @ A )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24454,133]) ).
thf(24479,plain,
( ( sk4 != sk3 )
| ( greater @ sigma @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[24478:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( sigma ))]]) ).
thf(25146,plain,
( ( sk4 != sk3 )
| ( ( greater @ sigma @ ( age @ sk1 @ sk4 ) )
!= ( greater @ sigma @ ( age @ sk1 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[24479,511]) ).
thf(25250,plain,
( ( sk4 != sk3 )
| ( sigma != sigma )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[25146]) ).
thf(25271,plain,
( ( sk4 != sk3 )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[25250]) ).
thf(26887,plain,
( ( sk4 != sk3 )
| ( sk1 != sk1 )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[25271]) ).
thf(26942,plain,
sk4 != sk3,
inference(simp,[status(thm)],[26887]) ).
thf(876,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != mod1 )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[137,555]) ).
thf(877,plain,
! [A: $i] :
( ( smaller @ A @ high )
| ( greater @ A @ high )
| ( A != mod1 ) ),
inference(pattern_uni,[status(thm)],[876:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(1790,plain,
( ( smaller @ mod1 @ high )
| ( greater @ mod1 @ high ) ),
inference(simp,[status(thm)],[877]) ).
thf(5366,plain,
( ( smaller @ mod1 @ high )
| $false ),
inference(rewrite,[status(thm)],[1790,515]) ).
thf(5367,plain,
smaller @ mod1 @ high,
inference(simp,[status(thm)],[5366]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(cnf,[status(esa)],[122]) ).
thf(126,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(simp,[status(thm)],[123]) ).
thf(7142,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5367,126]) ).
thf(7143,plain,
smaller_or_equal @ mod1 @ high,
inference(pattern_uni,[status(thm)],[7142:[bind(A,$thf( mod1 )),bind(B,$thf( high ))]]) ).
thf(1851,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ zero @ sigma ) ),
inference(paramod_ordered,[status(thm)],[31,519]) ).
thf(1856,plain,
( ( ( age @ sk1 @ sk4 )
!= zero )
| ( sigma != sigma ) ),
inference(simp,[status(thm)],[1851]) ).
thf(1864,plain,
( ( age @ sk1 @ sk4 )
!= zero ),
inference(simp,[status(thm)],[1856]) ).
thf(3666,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[68,1864]) ).
thf(3667,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( age @ sk1 @ sk4 ) )
| ( greater @ A @ ( age @ sk1 @ sk4 ) )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[3666:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(3680,plain,
( ~ ( greater_or_equal @ zero @ ( age @ sk1 @ sk4 ) )
| ( greater @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[3667]) ).
thf(7466,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( smaller @ A @ B )
| ( ( smaller_or_equal @ ( age @ sk1 @ sk4 ) @ tau )
!= ( smaller_or_equal @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[25,129]) ).
thf(7467,plain,
( ( ( age @ sk1 @ sk4 )
= tau )
| ( smaller @ ( age @ sk1 @ sk4 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[7466:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( tau ))]]) ).
thf(3660,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( A
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[68,1864]) ).
thf(3661,plain,
! [A: $i] :
( ~ ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ A )
| ( greater @ ( age @ sk1 @ sk4 ) @ A )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[3660:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( B ))]]) ).
thf(3677,plain,
( ~ ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(simp,[status(thm)],[3661]) ).
thf(39246,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,3677]) ).
thf(39284,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= tau )
| ( zero != zero ) ),
inference(simp,[status(thm)],[39246]) ).
thf(39327,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[39284]) ).
thf(39593,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[7467,39327]) ).
thf(39594,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[39593:[]]) ).
thf(60385,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[58465,126]) ).
thf(60386,plain,
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[60385:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(2087,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater @ A @ C )
| ( ( greater @ mod2 @ mod1 )
!= ( greater @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[138,56]) ).
thf(2088,plain,
! [A: $i] :
( ~ ( greater @ A @ mod2 )
| ( greater @ A @ mod1 ) ),
inference(pattern_uni,[status(thm)],[2087:[bind(A,$thf( A )),bind(B,$thf( mod2 )),bind(C,$thf( mod1 ))]]) ).
thf(93593,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( greater @ tau @ sigma )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[9395,2088]) ).
thf(93677,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( tau != A )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[93593]) ).
thf(93817,plain,
( ( greater @ tau @ mod1 )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[93677]) ).
thf(498,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[27,71]) ).
thf(499,plain,
~ ( greater @ tau @ ( age @ sk1 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[498:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( tau ))]]) ).
thf(94786,plain,
( ( mod2 != sigma )
| ( ( greater @ tau @ ( age @ sk1 @ sk5 ) )
!= ( greater @ tau @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[93817,499]) ).
thf(94947,plain,
( ( mod2 != sigma )
| ( tau != tau )
| ( ( age @ sk1 @ sk5 )
!= mod1 ) ),
inference(simp,[status(thm)],[94786]) ).
thf(94975,plain,
( ( mod2 != sigma )
| ( ( age @ sk1 @ sk5 )
!= mod1 ) ),
inference(simp,[status(thm)],[94947]) ).
thf(9426,plain,
( ( greater @ tau @ ( age @ sk1 @ sk5 ) )
!= ( greater @ tau @ sigma ) ),
inference(paramod_ordered,[status(thm)],[9395,499]) ).
thf(9464,plain,
( ( tau != tau )
| ( ( age @ sk1 @ sk5 )
!= sigma ) ),
inference(simp,[status(thm)],[9426]) ).
thf(9479,plain,
( ( age @ sk1 @ sk5 )
!= sigma ),
inference(simp,[status(thm)],[9464]) ).
thf(24248,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7569,9479]) ).
thf(24314,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( sk1 != sk1 )
| ( sk5 != sk3 ) ),
inference(simp,[status(thm)],[24248]) ).
thf(24465,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( sk5 != sk3 ) ),
inference(simp,[status(thm)],[24314]) ).
thf(24948,plain,
! [B: $i,A: $i] :
( ( sk5 != sk3 )
| ( greater @ B @ A )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24465,133]) ).
thf(24949,plain,
( ( sk5 != sk3 )
| ( greater @ sigma @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[24948:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( sigma ))]]) ).
thf(21420,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != tau )
| ( A
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[137,21419]) ).
thf(21421,plain,
! [A: $i] :
( ( smaller @ ( age @ sk1 @ sk3 ) @ A )
| ( greater @ ( age @ sk1 @ sk3 ) @ A )
| ( A != tau ) ),
inference(pattern_uni,[status(thm)],[21420:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( B ))]]) ).
thf(21462,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
| ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(simp,[status(thm)],[21421]) ).
thf(62875,plain,
! [B: $i,A: $i] :
( ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( greater @ B @ A )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21462,133]) ).
thf(62876,plain,
( ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[62875:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(100595,plain,
! [A: $i] :
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater @ A @ zero )
| ( ( greater @ ( age @ sk1 @ sk3 ) @ tau )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[62876,2094]) ).
thf(100596,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater @ ( age @ sk1 @ sk3 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[100595:[bind(A,$thf( age @ sk1 @ sk3 ))]]) ).
thf(118706,plain,
! [B: $i,A: $i] :
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk3 ) @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100596,71]) ).
thf(118707,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[118706:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( zero ))]]) ).
thf(120484,plain,
! [B: $i,A: $i] :
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ( smaller @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[118707,134]) ).
thf(120485,plain,
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[120484:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(9427,plain,
( ( greater @ mod1 @ high )
!= ( greater @ tau @ sigma ) ),
inference(paramod_ordered,[status(thm)],[9395,515]) ).
thf(9469,plain,
( ( mod1 != tau )
| ( high != sigma ) ),
inference(simp,[status(thm)],[9427]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( ( greater @ ( age @ A @ C ) @ sigma )
<=> ( dissimilar @ A @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
thf(114,plain,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( ( ( greater @ ( age @ A @ C ) @ sigma )
=> ( dissimilar @ A @ B @ C ) )
& ( ( dissimilar @ A @ B @ C )
=> ( greater @ ( age @ A @ C ) @ sigma ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(115,plain,
! [A: $i,B: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( ! [C: $i] :
( ( greater @ ( age @ A @ C ) @ sigma )
=> ( dissimilar @ A @ B @ C ) )
& ! [C: $i] :
( ( dissimilar @ A @ B @ C )
=> ( greater @ ( age @ A @ C ) @ sigma ) ) ) ),
inference(miniscope,[status(thm)],[114]) ).
thf(117,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( age @ A @ B )
!= zero )
| ~ ( dissimilar @ A @ B @ C )
| ( greater @ ( age @ A @ C ) @ sigma ) ),
inference(cnf,[status(esa)],[115]) ).
thf(119,plain,
! [C: $i,B: $i,A: $i] :
( ( ( age @ A @ B )
!= zero )
| ~ ( organization @ A )
| ~ ( dissimilar @ A @ B @ C )
| ( greater @ ( age @ A @ C ) @ sigma ) ),
inference(lifteq,[status(thm)],[117]) ).
thf(120,plain,
! [C: $i,B: $i,A: $i] :
( ( ( age @ A @ B )
!= zero )
| ~ ( organization @ A )
| ~ ( dissimilar @ A @ B @ C )
| ( greater @ ( age @ A @ C ) @ sigma ) ),
inference(simp,[status(thm)],[119]) ).
thf(6187,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ low @ very_low ) ) ),
inference(paramod_ordered,[status(thm)],[277,3485]) ).
thf(6194,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != low )
| ( sk2 != very_low ) ),
inference(simp,[status(thm)],[6187]) ).
thf(55475,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,21461]) ).
thf(55508,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( tau != tau )
| ( ( age @ sk1 @ sk3 )
!= zero ) ),
inference(simp,[status(thm)],[55475]) ).
thf(55554,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= zero ) ),
inference(simp,[status(thm)],[55508]) ).
thf(531,plain,
( ( greater @ mod2 @ mod1 )
!= ( greater @ mod1 @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[138,479]) ).
thf(545,plain,
( ( mod2 != mod1 )
| ( mod2 != mod1 ) ),
inference(simp,[status(thm)],[531]) ).
thf(553,plain,
mod2 != mod1,
inference(simp,[status(thm)],[545]) ).
thf(8320,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != mod1 )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[129,553]) ).
thf(8321,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ mod2 @ A )
| ( smaller @ mod2 @ A )
| ( A != mod1 ) ),
inference(pattern_uni,[status(thm)],[8320:[bind(A,$thf( mod2 ))]]) ).
thf(8855,plain,
( ~ ( smaller_or_equal @ mod2 @ mod1 )
| ( smaller @ mod2 @ mod1 ) ),
inference(simp,[status(thm)],[8321]) ).
thf(55626,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( ( greater @ tau @ ( age @ sk1 @ sk5 ) )
!= ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[55554,499]) ).
thf(55761,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( tau != tau )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[55626]) ).
thf(55811,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[55761]) ).
thf(262,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ mod2 @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[53,65]) ).
thf(263,plain,
greater_or_equal @ mod2 @ low,
inference(pattern_uni,[status(thm)],[262:[bind(A,$thf( mod2 )),bind(B,$thf( low ))]]) ).
thf(6629,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ mod2 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[263,3581]) ).
thf(6643,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != mod2 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[6629]) ).
thf(41704,plain,
! [B: $i,A: $i] :
( ( sk2 != mod2 )
| ( sk5 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6643,71]) ).
thf(41705,plain,
( ( sk2 != mod2 )
| ( sk5 != low )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[41704:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(58432,plain,
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( ( greater @ tau @ ( age @ sk1 @ sk5 ) )
!= ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[55561,499]) ).
thf(58547,plain,
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( tau != tau )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[58432]) ).
thf(58615,plain,
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[58547]) ).
thf(100546,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ mod2 @ low )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[53,2094]) ).
thf(100676,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( mod2 != A )
| ( low != tau ) ),
inference(simp,[status(thm)],[100546]) ).
thf(100793,plain,
( ( greater @ mod2 @ zero )
| ( low != tau ) ),
inference(simp,[status(thm)],[100676]) ).
thf(102594,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( smaller @ A @ B )
| ( ( greater @ mod2 @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100793,134]) ).
thf(102595,plain,
( ( low != tau )
| ( smaller @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[102594:[bind(A,$thf( zero )),bind(B,$thf( mod2 ))]]) ).
thf(125623,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( greater @ sigma @ zero )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[23,2102]) ).
thf(125667,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( sigma != A )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[125623]) ).
thf(125860,plain,
( ( greater @ sigma @ low )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[125667]) ).
thf(128671,plain,
( ( mod2 != zero )
| ( ( greater @ very_low @ low )
!= ( greater @ sigma @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125860,503]) ).
thf(128819,plain,
( ( mod2 != zero )
| ( very_low != sigma )
| ( low != low ) ),
inference(simp,[status(thm)],[128671]) ).
thf(128844,plain,
( ( mod2 != zero )
| ( very_low != sigma ) ),
inference(simp,[status(thm)],[128819]) ).
thf(24098,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( greater @ B @ A )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7569,133]) ).
thf(24099,plain,
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( greater @ sigma @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[24098:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( sigma ))]]) ).
thf(30890,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24099,65]) ).
thf(30891,plain,
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[30890:[bind(A,$thf( sigma )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(58477,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55561,71]) ).
thf(58478,plain,
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[58477:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(61327,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30891,58478]) ).
thf(61328,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[61327:[]]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= mod2 ) ),
inference(cnf,[status(esa)],[38]) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod2 )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B ) ),
inference(lifteq,[status(thm)],[41]) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod2 )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B ) ),
inference(simp,[status(thm)],[45]) ).
thf(372,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod2 )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( organization @ sk1 )
!= ( organization @ A ) ) ),
inference(paramod_ordered,[status(thm)],[30,46]) ).
thf(373,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= mod2 )
| ( has_immunity @ sk1 @ A )
| ~ ( is_aligned @ sk1 @ A )
| ( positional_advantage @ sk1 @ A ) ),
inference(pattern_uni,[status(thm)],[372:[bind(A,$thf( sk1 ))]]) ).
thf(374,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= mod2 )
| ( has_immunity @ sk1 @ A )
| ~ ( is_aligned @ sk1 @ A )
| ( positional_advantage @ sk1 @ A ) ),
inference(simp,[status(thm)],[373]) ).
thf(49246,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= mod2 )
| $false
| ~ ( is_aligned @ sk1 @ A )
| ( positional_advantage @ sk1 @ A ) ),
inference(rewrite,[status(thm)],[374,5731]) ).
thf(49247,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= mod2 )
| ~ ( is_aligned @ sk1 @ A )
| ( positional_advantage @ sk1 @ A ) ),
inference(simp,[status(thm)],[49246]) ).
thf(55683,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[35,55554]) ).
thf(55758,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( sk1 != sk1 )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[55683]) ).
thf(55810,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[55758]) ).
thf(55863,plain,
( ( sk3 != sk2 )
| ( ( greater @ tau @ ( age @ sk1 @ sk5 ) )
!= ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[55810,499]) ).
thf(55971,plain,
( ( sk3 != sk2 )
| ( tau != tau )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[55863]) ).
thf(55996,plain,
( ( sk3 != sk2 )
| ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[55971]) ).
thf(57309,plain,
( ( sk3 != sk2 )
| ( sk1 != sk1 )
| ( sk5 != sk3 ) ),
inference(simp,[status(thm)],[55996]) ).
thf(57387,plain,
( ( sk3 != sk2 )
| ( sk5 != sk3 ) ),
inference(simp,[status(thm)],[57309]) ).
thf(125945,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ high @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125589,65]) ).
thf(125946,plain,
greater_or_equal @ high @ low,
inference(pattern_uni,[status(thm)],[125945:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(9491,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != sigma )
| ( B != tau ) ),
inference(paramod_ordered,[status(thm)],[68,9480]) ).
thf(9492,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ tau )
| ( greater @ A @ tau )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9491:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(9495,plain,
( ~ ( greater_or_equal @ sigma @ tau )
| ( greater @ sigma @ tau ) ),
inference(simp,[status(thm)],[9492]) ).
thf(19500,plain,
( ~ ( greater_or_equal @ sigma @ tau )
| $false ),
inference(rewrite,[status(thm)],[9495,9439]) ).
thf(19501,plain,
~ ( greater_or_equal @ sigma @ tau ),
inference(simp,[status(thm)],[19500]) ).
thf(100579,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ mod1 @ low )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[113,2094]) ).
thf(100744,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( mod1 != A )
| ( low != tau ) ),
inference(simp,[status(thm)],[100579]) ).
thf(100861,plain,
( ( greater @ mod1 @ zero )
| ( low != tau ) ),
inference(simp,[status(thm)],[100744]) ).
thf(104559,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( smaller @ A @ B )
| ( ( greater @ mod1 @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100861,134]) ).
thf(104560,plain,
( ( low != tau )
| ( smaller @ zero @ mod1 ) ),
inference(pattern_uni,[status(thm)],[104559:[bind(A,$thf( zero )),bind(B,$thf( mod1 ))]]) ).
thf(60298,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30891,58465]) ).
thf(60299,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[60298:[]]) ).
thf(7356,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != low )
| ( A != high ) ),
inference(paramod_ordered,[status(thm)],[129,760]) ).
thf(7357,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ high @ A )
| ( smaller @ high @ A )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[7356:[bind(A,$thf( high ))]]) ).
thf(8879,plain,
( ~ ( smaller_or_equal @ high @ low )
| ( smaller @ high @ low ) ),
inference(simp,[status(thm)],[7357]) ).
thf(42,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= very_low ) ),
inference(cnf,[status(esa)],[38]) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= very_low )
| ~ ( organization @ A )
| ~ ( has_immunity @ A @ B ) ),
inference(lifteq,[status(thm)],[42]) ).
thf(219,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= very_low )
| ~ ( has_immunity @ A @ B )
| ( ( organization @ sk1 )
!= ( organization @ A ) ) ),
inference(paramod_ordered,[status(thm)],[30,44]) ).
thf(220,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= very_low )
| ~ ( has_immunity @ sk1 @ A ) ),
inference(pattern_uni,[status(thm)],[219:[bind(A,$thf( sk1 ))]]) ).
thf(221,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= very_low )
| ~ ( has_immunity @ sk1 @ A ) ),
inference(simp,[status(thm)],[220]) ).
thf(230,plain,
! [A: $i] :
( ~ ( has_immunity @ sk1 @ A )
| ( sk3 != sk2 )
| ~ ( smaller @ very_low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ A )
!= ( hazard_of_mortality @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[221,149]) ).
thf(231,plain,
( ~ ( has_immunity @ sk1 @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ very_low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[230:[bind(A,$thf( sk5 ))]]) ).
thf(796,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ~ ( has_immunity @ A @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ very_low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( B != sk1 ) ),
inference(paramod_ordered,[status(thm)],[137,231]) ).
thf(797,plain,
! [A: $i] :
( ( smaller @ A @ sk1 )
| ( greater @ A @ sk1 )
| ~ ( has_immunity @ A @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ very_low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[796:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(79164,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( sk1 != sk1 )
| ( sk5 != sk3 ) ),
inference(simp,[status(thm)],[55811]) ).
thf(79304,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( sk5 != sk3 ) ),
inference(simp,[status(thm)],[79164]) ).
thf(1194,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sk2 )
| ( B != sk5 ) ),
inference(paramod_ordered,[status(thm)],[137,625]) ).
thf(1195,plain,
! [A: $i] :
( ( smaller @ A @ sk5 )
| ( greater @ A @ sk5 )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[1194:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(1643,plain,
( ( smaller @ sk2 @ sk5 )
| ( greater @ sk2 @ sk5 ) ),
inference(simp,[status(thm)],[1195]) ).
thf(7146,plain,
! [B: $i,A: $i] :
( ( greater @ sk2 @ sk5 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk2 @ sk5 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1643,126]) ).
thf(7147,plain,
( ( greater @ sk2 @ sk5 )
| ( smaller_or_equal @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[7146:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(93502,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( greater @ tau @ zero )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[24,2088]) ).
thf(93720,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( tau != A )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[93502]) ).
thf(93751,plain,
( ( greater @ tau @ mod1 )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[93720]) ).
thf(93907,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller @ A @ B )
| ( ( greater @ tau @ mod1 )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[93751,134]) ).
thf(93908,plain,
( ( mod2 != zero )
| ( smaller @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[93907:[bind(A,$thf( mod1 )),bind(B,$thf( tau ))]]) ).
thf(95555,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( smaller @ mod1 @ tau )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93908]) ).
thf(95556,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != zero )
| ( smaller @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[95555:[bind(A,$thf( mod2 ))]]) ).
thf(95671,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( smaller @ mod1 @ tau ) ),
inference(simp,[status(thm)],[95556]) ).
thf(9733,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sigma )
| ( A
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[137,9479]) ).
thf(9734,plain,
! [A: $i] :
( ( smaller @ ( age @ sk1 @ sk5 ) @ A )
| ( greater @ ( age @ sk1 @ sk5 ) @ A )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9733:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( B ))]]) ).
thf(9774,plain,
( ( smaller @ ( age @ sk1 @ sk5 ) @ sigma )
| ( greater @ ( age @ sk1 @ sk5 ) @ sigma ) ),
inference(simp,[status(thm)],[9734]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= high ) ),
inference(cnf,[status(esa)],[38]) ).
thf(47,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= high )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B ) ),
inference(lifteq,[status(thm)],[39]) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= high )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B ) ),
inference(simp,[status(thm)],[47]) ).
thf(417,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( high != tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,157]) ).
thf(418,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( high != tau ) ),
inference(pattern_uni,[status(thm)],[417:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(64215,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( high != tau ) ),
inference(rewrite,[status(thm)],[418,5731,30]) ).
thf(64216,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( high != tau ) ),
inference(simp,[status(thm)],[64215]) ).
thf(445,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,149]) ).
thf(446,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[445:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(72481,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[446,5731,30]) ).
thf(72482,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[72481]) ).
thf(26971,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != sk3 )
| ( A != sk4 ) ),
inference(paramod_ordered,[status(thm)],[68,26942]) ).
thf(26972,plain,
! [A: $i] :
( ~ ( greater_or_equal @ sk4 @ A )
| ( greater @ sk4 @ A )
| ( A != sk3 ) ),
inference(pattern_uni,[status(thm)],[26971:[bind(A,$thf( sk4 ))]]) ).
thf(26979,plain,
( ~ ( greater_or_equal @ sk4 @ sk3 )
| ( greater @ sk4 @ sk3 ) ),
inference(simp,[status(thm)],[26972]) ).
thf(13781,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ mod1 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[265,4470]) ).
thf(13824,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != mod1 )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[13781]) ).
thf(60704,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[13824,503]) ).
thf(60795,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( sk5 != very_low )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[60704]) ).
thf(60827,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( sk5 != very_low ) ),
inference(simp,[status(thm)],[60795]) ).
thf(128674,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller @ A @ B )
| ( ( greater @ sigma @ low )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[125860,134]) ).
thf(128675,plain,
( ( mod2 != zero )
| ( smaller @ low @ sigma ) ),
inference(pattern_uni,[status(thm)],[128674:[bind(A,$thf( low )),bind(B,$thf( sigma ))]]) ).
thf(6496,plain,
( ( greater @ low @ high )
| ( ( greater_or_equal @ low @ high )
!= ( greater_or_equal @ low @ very_low ) ) ),
inference(paramod_ordered,[status(thm)],[277,3480]) ).
thf(6499,plain,
( ( greater @ low @ high )
| ( low != low )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6496]) ).
thf(6508,plain,
( ( greater @ low @ high )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6499]) ).
thf(6541,plain,
! [B: $i,A: $i] :
( ( high != very_low )
| ~ ( greater @ B @ A )
| ( ( greater @ low @ high )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6508,71]) ).
thf(6542,plain,
( ( high != very_low )
| ~ ( greater @ high @ low ) ),
inference(pattern_uni,[status(thm)],[6541:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(125892,plain,
( ( high != very_low )
| ~ $true ),
inference(rewrite,[status(thm)],[6542,125589]) ).
thf(125893,plain,
high != very_low,
inference(simp,[status(thm)],[125892]) ).
thf(126153,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != very_low )
| ( A != high ) ),
inference(paramod_ordered,[status(thm)],[137,125893]) ).
thf(126154,plain,
! [A: $i] :
( ( smaller @ high @ A )
| ( greater @ high @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[126153:[bind(A,$thf( high ))]]) ).
thf(126168,plain,
( ( smaller @ high @ very_low )
| ( greater @ high @ very_low ) ),
inference(simp,[status(thm)],[126154]) ).
thf(100575,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ low @ very_low )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[54,2094]) ).
thf(100650,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( low != A )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[100575]) ).
thf(100767,plain,
( ( greater @ low @ zero )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[100650]) ).
thf(101703,plain,
! [B: $i,A: $i] :
( ( very_low != tau )
| ( smaller @ A @ B )
| ( ( greater @ low @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100767,134]) ).
thf(101704,plain,
( ( very_low != tau )
| ( smaller @ zero @ low ) ),
inference(pattern_uni,[status(thm)],[101703:[bind(A,$thf( zero )),bind(B,$thf( low ))]]) ).
thf(4391,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( ( positional_advantage @ A @ B )
!= ( positional_advantage @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[84,4388]) ).
thf(4392,plain,
( ~ ( robust_position @ sk1 )
| ~ ( greater @ ( age @ sk1 @ sk4 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[4391:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(20372,plain,
( ~ $true
| ~ ( greater @ ( age @ sk1 @ sk4 ) @ tau ) ),
inference(rewrite,[status(thm)],[4392,28]) ).
thf(20373,plain,
~ ( greater @ ( age @ sk1 @ sk4 ) @ tau ),
inference(simp,[status(thm)],[20372]) ).
thf(125922,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ tau )
!= ( greater @ high @ low ) ),
inference(paramod_ordered,[status(thm)],[125589,20373]) ).
thf(126077,plain,
( ( ( age @ sk1 @ sk4 )
!= high )
| ( low != tau ) ),
inference(simp,[status(thm)],[125922]) ).
thf(31311,plain,
! [B: $i,A: $i] :
( ( sk5 != low )
| ( sk2 != very_low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6445,71]) ).
thf(31312,plain,
( ( sk5 != low )
| ( sk2 != very_low )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[31311:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(22188,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk4 )
= tau )
| ( greater @ B @ A )
| ( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7467,133]) ).
thf(22189,plain,
( ( ( age @ sk1 @ sk4 )
= tau )
| ( greater @ tau @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[22188:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( tau ))]]) ).
thf(29818,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk4 )
= tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[22189,65]) ).
thf(29819,plain,
( ( ( age @ sk1 @ sk4 )
= tau )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[29818:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(39672,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk4 )
!= tau )
| ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[39327,134]) ).
thf(39673,plain,
( ( ( age @ sk1 @ sk4 )
!= tau )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[39672:[bind(A,$thf( zero )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(40851,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[29819,39673]) ).
thf(40852,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[40851:[]]) ).
thf(21432,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != tau )
| ( A
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[129,21419]) ).
thf(21433,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ A )
| ( smaller @ ( age @ sk1 @ sk3 ) @ A )
| ( A != tau ) ),
inference(pattern_uni,[status(thm)],[21432:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( B ))]]) ).
thf(21467,plain,
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(simp,[status(thm)],[21433]) ).
thf(101718,plain,
! [B: $i,A: $i] :
( ( very_low != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ low @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100767,71]) ).
thf(101719,plain,
( ( very_low != tau )
| ~ ( greater @ zero @ low ) ),
inference(pattern_uni,[status(thm)],[101718:[bind(A,$thf( low )),bind(B,$thf( zero ))]]) ).
thf(95603,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93908,126]) ).
thf(95604,plain,
( ( mod2 != zero )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[95603:[bind(A,$thf( mod1 )),bind(B,$thf( tau ))]]) ).
thf(96752,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( smaller_or_equal @ mod1 @ tau )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,95604]) ).
thf(96753,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != zero )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[96752:[bind(A,$thf( mod2 ))]]) ).
thf(96862,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(simp,[status(thm)],[96753]) ).
thf(280,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ high @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[139,65]) ).
thf(281,plain,
greater_or_equal @ high @ mod1,
inference(pattern_uni,[status(thm)],[280:[bind(A,$thf( high )),bind(B,$thf( mod1 ))]]) ).
thf(6174,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ high @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[281,3485]) ).
thf(6197,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != high )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[6174]) ).
thf(23945,plain,
! [B: $i,A: $i] :
( ( sk4 != high )
| ( sk2 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6197,71]) ).
thf(23946,plain,
( ( sk4 != high )
| ( sk2 != mod1 )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[23945:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(93873,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ tau @ mod1 )
| ( B != zero )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93751]) ).
thf(93874,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( greater @ tau @ mod1 )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[93873:[bind(A,$thf( mod2 ))]]) ).
thf(94070,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( greater @ tau @ mod1 ) ),
inference(simp,[status(thm)],[93874]) ).
thf(94377,plain,
! [B: $i,A: $i] :
( ( greater @ mod2 @ zero )
| ( greater @ tau @ mod1 )
| ( greater @ B @ A )
| ( ( smaller @ mod2 @ zero )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94070,133]) ).
thf(94378,plain,
( ( greater @ mod2 @ zero )
| ( greater @ tau @ mod1 )
| ( greater @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[94377:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(1170,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,761]) ).
thf(1171,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[1170:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(1636,plain,
( ( smaller @ very_low @ mod2 )
| ( greater @ very_low @ mod2 ) ),
inference(simp,[status(thm)],[1171]) ).
thf(9366,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ mod2 )
| ( greater @ B @ A )
| ( ( smaller @ very_low @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1636,133]) ).
thf(9367,plain,
( ( greater @ very_low @ mod2 )
| ( greater @ mod2 @ very_low ) ),
inference(pattern_uni,[status(thm)],[9366:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(17042,plain,
( ( greater @ very_low @ mod2 )
| ( ( greater @ mod2 @ very_low )
!= ( greater @ very_low @ mod2 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[9367]) ).
thf(17053,plain,
( ( greater @ very_low @ mod2 )
| ( ( greater @ mod2 @ very_low )
!= ( greater @ very_low @ mod2 ) ) ),
inference(simp,[status(thm)],[17042]) ).
thf(282,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ sigma @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[23,65]) ).
thf(283,plain,
greater_or_equal @ sigma @ zero,
inference(pattern_uni,[status(thm)],[282:[bind(A,$thf( sigma )),bind(B,$thf( zero ))]]) ).
thf(6159,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3485]) ).
thf(6198,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != sigma )
| ( sk2 != zero ) ),
inference(simp,[status(thm)],[6159]) ).
thf(24866,plain,
! [B: $i,A: $i] :
( ( sk4 != sigma )
| ( sk2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6198,71]) ).
thf(24867,plain,
( ( sk4 != sigma )
| ( sk2 != zero )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[24866:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(9707,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[27,134]) ).
thf(9708,plain,
smaller @ tau @ ( age @ sk1 @ sk5 ),
inference(pattern_uni,[status(thm)],[9707:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(506,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ mod1 @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[113,71]) ).
thf(507,plain,
~ ( greater @ low @ mod1 ),
inference(pattern_uni,[status(thm)],[506:[bind(A,$thf( mod1 )),bind(B,$thf( low ))]]) ).
thf(9413,plain,
( ( greater @ low @ mod1 )
!= ( greater @ tau @ sigma ) ),
inference(paramod_ordered,[status(thm)],[9395,507]) ).
thf(9465,plain,
( ( low != tau )
| ( mod1 != sigma ) ),
inference(simp,[status(thm)],[9413]) ).
thf(104574,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ mod1 @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100861,71]) ).
thf(104575,plain,
( ( low != tau )
| ~ ( greater @ zero @ mod1 ) ),
inference(pattern_uni,[status(thm)],[104574:[bind(A,$thf( mod1 )),bind(B,$thf( zero ))]]) ).
thf(4467,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != sk4 )
| ( B != sk5 ) ),
inference(paramod_ordered,[status(thm)],[68,4454]) ).
thf(4468,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ sk5 )
| ( greater @ A @ sk5 )
| ( A != sk4 ) ),
inference(pattern_uni,[status(thm)],[4467:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(4471,plain,
( ~ ( greater_or_equal @ sk4 @ sk5 )
| ( greater @ sk4 @ sk5 ) ),
inference(simp,[status(thm)],[4468]) ).
thf(13973,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ mod2 @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[261,4471]) ).
thf(14023,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != mod2 )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[13973]) ).
thf(129407,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125864,71]) ).
thf(129408,plain,
( ( mod2 != zero )
| ~ ( greater @ low @ tau ) ),
inference(pattern_uni,[status(thm)],[129407:[bind(A,$thf( tau )),bind(B,$thf( low ))]]) ).
thf(465,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[48,36]) ).
thf(466,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk4 )
| ( is_aligned @ sk1 @ sk4 )
| ( positional_advantage @ sk1 @ sk4 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high ) ),
inference(pattern_uni,[status(thm)],[465:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( is_aligned @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
thf(110,plain,
! [A: $i,B: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( is_aligned @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(111,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( age @ A @ B )
!= zero )
| ( is_aligned @ A @ B ) ),
inference(cnf,[status(esa)],[110]) ).
thf(112,plain,
! [B: $i,A: $i] :
( ( ( age @ A @ B )
!= zero )
| ~ ( organization @ A )
| ( is_aligned @ A @ B ) ),
inference(lifteq,[status(thm)],[111]) ).
thf(6793,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( is_aligned @ A @ B )
| ( ( age @ sk1 @ sk2 )
!= ( age @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[35,112]) ).
thf(6794,plain,
( ~ ( organization @ sk1 )
| ( is_aligned @ sk1 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[6793:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(6814,plain,
( ~ $true
| ( is_aligned @ sk1 @ sk2 ) ),
inference(rewrite,[status(thm)],[6794,30]) ).
thf(6815,plain,
is_aligned @ sk1 @ sk2,
inference(simp,[status(thm)],[6814]) ).
thf(49384,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= mod2 )
| ( positional_advantage @ sk1 @ A )
| ( ( is_aligned @ sk1 @ sk2 )
!= ( is_aligned @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6815,49247]) ).
thf(49385,plain,
( ( ( hazard_of_mortality @ sk1 @ sk2 )
= mod2 )
| ( positional_advantage @ sk1 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[49384:[bind(A,$thf( sk2 ))]]) ).
thf(3857,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ zero @ tau )
| ~ ( positional_advantage @ A @ B )
| ( ( age @ sk1 @ sk2 )
!= ( age @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[35,77]) ).
thf(3858,plain,
( ~ ( robust_position @ sk1 )
| ~ ( smaller_or_equal @ zero @ tau )
| ~ ( positional_advantage @ sk1 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[3857:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(629,plain,
( ( greater @ tau @ zero )
!= ( greater @ zero @ tau ) ),
inference(paramod_ordered,[status(thm)],[24,491]) ).
thf(644,plain,
( ( tau != zero )
| ( tau != zero ) ),
inference(simp,[status(thm)],[629]) ).
thf(648,plain,
tau != zero,
inference(simp,[status(thm)],[644]) ).
thf(1390,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B != tau ) ),
inference(paramod_ordered,[status(thm)],[137,648]) ).
thf(1391,plain,
! [A: $i] :
( ( smaller @ A @ tau )
| ( greater @ A @ tau )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[1390:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(1699,plain,
( ( smaller @ zero @ tau )
| ( greater @ zero @ tau ) ),
inference(simp,[status(thm)],[1391]) ).
thf(4779,plain,
( ( smaller @ zero @ tau )
| $false ),
inference(rewrite,[status(thm)],[1699,491]) ).
thf(4780,plain,
smaller @ zero @ tau,
inference(simp,[status(thm)],[4779]) ).
thf(7154,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4780,126]) ).
thf(7155,plain,
smaller_or_equal @ zero @ tau,
inference(pattern_uni,[status(thm)],[7154:[bind(A,$thf( zero )),bind(B,$thf( tau ))]]) ).
thf(21471,plain,
( ~ $true
| ~ $true
| ~ ( positional_advantage @ sk1 @ sk2 ) ),
inference(rewrite,[status(thm)],[3858,7155,28]) ).
thf(21472,plain,
~ ( positional_advantage @ sk1 @ sk2 ),
inference(simp,[status(thm)],[21471]) ).
thf(49567,plain,
( ( ( hazard_of_mortality @ sk1 @ sk2 )
= mod2 )
| $false ),
inference(rewrite,[status(thm)],[49385,21472]) ).
thf(49568,plain,
( ( hazard_of_mortality @ sk1 @ sk2 )
= mod2 ),
inference(simp,[status(thm)],[49567]) ).
thf(81300,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk4 )
| $false
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high ) ),
inference(rewrite,[status(thm)],[466,49568,5731,4388,30]) ).
thf(81301,plain,
( ( is_aligned @ sk1 @ sk4 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high ) ),
inference(simp,[status(thm)],[81300]) ).
thf(100570,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[27,2094]) ).
thf(100571,plain,
greater @ ( age @ sk1 @ sk5 ) @ zero,
inference(pattern_uni,[status(thm)],[100570:[bind(A,$thf( age @ sk1 @ sk5 ))]]) ).
thf(100972,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100571,71]) ).
thf(100973,plain,
~ ( greater @ zero @ ( age @ sk1 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[100972:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( zero ))]]) ).
thf(126032,plain,
( ( greater @ high @ low )
!= ( greater @ zero @ ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[125589,100973]) ).
thf(126066,plain,
( ( high != zero )
| ( ( age @ sk1 @ sk5 )
!= low ) ),
inference(simp,[status(thm)],[126032]) ).
thf(6428,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ high @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[281,3580]) ).
thf(6446,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != high )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[6428]) ).
thf(31602,plain,
( ( sk5 != high )
| ( sk2 != mod1 )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[6446,507]) ).
thf(31699,plain,
( ( sk5 != high )
| ( sk2 != mod1 )
| ( sk5 != low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[31602]) ).
thf(31728,plain,
( ( sk5 != high )
| ( sk2 != mod1 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[31699]) ).
thf(118687,plain,
! [B: $i,A: $i] :
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk3 ) @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100596,134]) ).
thf(118688,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( smaller @ zero @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[118687:[bind(A,$thf( zero )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(119152,plain,
! [B: $i,A: $i] :
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ ( age @ sk1 @ sk3 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[118688,126]) ).
thf(119153,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[119152:[bind(A,$thf( zero )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(58392,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30891,55561]) ).
thf(58393,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[58392:[]]) ).
thf(120420,plain,
! [B: $i,A: $i] :
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[118707,65]) ).
thf(120421,plain,
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[120420:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(20396,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ tau )
!= ( greater @ mod2 @ low ) ),
inference(paramod_ordered,[status(thm)],[53,20373]) ).
thf(20450,plain,
( ( ( age @ sk1 @ sk4 )
!= mod2 )
| ( low != tau ) ),
inference(simp,[status(thm)],[20396]) ).
thf(1849,plain,
( ( greater @ mod1 @ low )
!= ( greater @ zero @ sigma ) ),
inference(paramod_ordered,[status(thm)],[113,519]) ).
thf(1860,plain,
( ( mod1 != zero )
| ( low != sigma ) ),
inference(simp,[status(thm)],[1849]) ).
thf(13818,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ low @ very_low ) ) ),
inference(paramod_ordered,[status(thm)],[277,4470]) ).
thf(13820,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != low )
| ( sk4 != very_low ) ),
inference(simp,[status(thm)],[13818]) ).
thf(55887,plain,
! [B: $i,A: $i] :
( ( sk3 != sk2 )
| ( smaller @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[55810,134]) ).
thf(55888,plain,
( ( sk3 != sk2 )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[55887:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(56364,plain,
! [B: $i,A: $i] :
( ( sk3 != sk2 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55888,126]) ).
thf(56365,plain,
( ( sk3 != sk2 )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[56364:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(6532,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ low @ high )
| ( A != very_low )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[137,6508]) ).
thf(6533,plain,
! [A: $i] :
( ( smaller @ A @ high )
| ( greater @ A @ high )
| ( greater @ low @ high )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[6532:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(6574,plain,
( ( smaller @ very_low @ high )
| ( greater @ very_low @ high )
| ( greater @ low @ high ) ),
inference(simp,[status(thm)],[6533]) ).
thf(33103,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ high )
| ( greater @ low @ high )
| ( greater @ B @ A )
| ( ( smaller @ very_low @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6574,133]) ).
thf(33104,plain,
( ( greater @ very_low @ high )
| ( greater @ low @ high )
| ( greater @ high @ very_low ) ),
inference(pattern_uni,[status(thm)],[33103:[bind(A,$thf( very_low )),bind(B,$thf( high ))]]) ).
thf(54345,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ high )
| ( greater @ low @ high )
| ( greater_or_equal @ A @ B )
| ( ( greater @ high @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[33104,65]) ).
thf(54346,plain,
( ( greater @ very_low @ high )
| ( greater @ low @ high )
| ( greater_or_equal @ high @ very_low ) ),
inference(pattern_uni,[status(thm)],[54345:[bind(A,$thf( high )),bind(B,$thf( very_low ))]]) ).
thf(125985,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ A )
| ( ( greater @ high @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125589,71]) ).
thf(125986,plain,
~ ( greater @ low @ high ),
inference(pattern_uni,[status(thm)],[125985:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(126189,plain,
( ( greater @ very_low @ high )
| $false
| ( greater_or_equal @ high @ very_low ) ),
inference(rewrite,[status(thm)],[54346,125986]) ).
thf(126190,plain,
( ( greater @ very_low @ high )
| ( greater_or_equal @ high @ very_low ) ),
inference(simp,[status(thm)],[126189]) ).
thf(93600,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( greater @ sigma @ zero )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[23,2088]) ).
thf(93667,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( sigma != A )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[93600]) ).
thf(93807,plain,
( ( greater @ sigma @ mod1 )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[93667]) ).
thf(94532,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ sigma @ mod1 )
| ( A != zero )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93807]) ).
thf(94533,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( greater @ sigma @ mod1 )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[94532:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(94714,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( greater @ sigma @ mod1 ) ),
inference(simp,[status(thm)],[94533]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= mod1 ) ),
inference(cnf,[status(esa)],[38]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod1 )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B ) ),
inference(lifteq,[status(thm)],[40]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod1 )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B ) ),
inference(simp,[status(thm)],[51]) ).
thf(467,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,36]) ).
thf(468,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[467:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(82083,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[468,49568,5731,30]) ).
thf(82084,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[82083]) ).
thf(663,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[50,157]) ).
thf(664,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk5 )
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ ( positional_advantage @ sk1 @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[663:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(105320,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ $true
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(rewrite,[status(thm)],[664,5731,4425,30]) ).
thf(105321,plain,
( ~ ( is_aligned @ sk1 @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[105320]) ).
thf(62645,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7569,60386]) ).
thf(62646,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[62645:[]]) ).
thf(30825,plain,
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( ( greater @ sigma @ ( age @ sk1 @ sk4 ) )
!= ( greater @ sigma @ ( age @ sk1 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[24099,511]) ).
thf(31060,plain,
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( sigma != sigma )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[30825]) ).
thf(31139,plain,
( ( ( age @ sk1 @ sk3 )
= sigma )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[31060]) ).
thf(9386,plain,
! [B: $i,A: $i] :
( ( greater @ sk2 @ sk5 )
| ( greater @ B @ A )
| ( ( smaller @ sk2 @ sk5 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1643,133]) ).
thf(9387,plain,
( ( greater @ sk2 @ sk5 )
| ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[9386:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(18186,plain,
! [B: $i,A: $i] :
( ( greater @ sk2 @ sk5 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9387,65]) ).
thf(18187,plain,
( ( greater @ sk2 @ sk5 )
| ( greater_or_equal @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[18186:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(2533,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != sk2 )
| ( B != sk4 ) ),
inference(paramod_ordered,[status(thm)],[68,1835]) ).
thf(2534,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ sk4 )
| ( greater @ A @ sk4 )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[2533:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(3486,plain,
( ~ ( greater_or_equal @ sk2 @ sk4 )
| ( greater @ sk2 @ sk4 ) ),
inference(simp,[status(thm)],[2534]) ).
thf(6297,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ mod2 @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[261,3486]) ).
thf(6332,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != mod2 )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[6297]) ).
thf(94804,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( smaller @ A @ B )
| ( ( greater @ tau @ mod1 )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[93817,134]) ).
thf(94805,plain,
( ( mod2 != sigma )
| ( smaller @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[94804:[bind(A,$thf( mod1 )),bind(B,$thf( tau ))]]) ).
thf(96138,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94805,126]) ).
thf(96139,plain,
( ( mod2 != sigma )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[96138:[bind(A,$thf( mod1 )),bind(B,$thf( tau ))]]) ).
thf(97010,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sigma )
| ( smaller_or_equal @ mod1 @ tau )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,96139]) ).
thf(97011,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != sigma )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[97010:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(97117,plain,
( ( smaller @ sigma @ mod2 )
| ( greater @ sigma @ mod2 )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(simp,[status(thm)],[97011]) ).
thf(126155,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[137,125893]) ).
thf(126156,plain,
! [A: $i] :
( ( smaller @ A @ high )
| ( greater @ A @ high )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[126155:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(126169,plain,
( ( smaller @ very_low @ high )
| ( greater @ very_low @ high ) ),
inference(simp,[status(thm)],[126156]) ).
thf(13805,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ high @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[267,4470]) ).
thf(13826,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != high )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[13805]) ).
thf(852,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ~ ( greater @ zero @ A )
| ( B != tau ) ),
inference(paramod_ordered,[status(thm)],[137,491]) ).
thf(853,plain,
! [A: $i] :
( ( smaller @ A @ tau )
| ( greater @ A @ tau )
| ~ ( greater @ zero @ A ) ),
inference(pattern_uni,[status(thm)],[852:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(100983,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ low @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[100571,483]) ).
thf(101127,plain,
( ( ( age @ sk1 @ sk5 )
!= low )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[100983]) ).
thf(93553,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[27,2088]) ).
thf(93695,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( age @ sk1 @ sk5 )
!= A )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[93553]) ).
thf(93835,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[93695]) ).
thf(98143,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[93835,134]) ).
thf(98144,plain,
( ( mod2 != tau )
| ( smaller @ mod1 @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[98143:[bind(A,$thf( mod1 )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(62931,plain,
! [B: $i,A: $i] :
( ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21462,126]) ).
thf(62932,plain,
( ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[62931:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(100588,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ high @ mod2 )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[140,2094]) ).
thf(100739,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( high != A )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[100588]) ).
thf(100854,plain,
( ( greater @ high @ zero )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[100739]) ).
thf(104326,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ high @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100854,71]) ).
thf(104327,plain,
( ( mod2 != tau )
| ~ ( greater @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[104326:[bind(A,$thf( high )),bind(B,$thf( zero ))]]) ).
thf(6311,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ high @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[281,3486]) ).
thf(6329,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != high )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[6311]) ).
thf(25819,plain,
! [B: $i,A: $i] :
( ( sk2 != high )
| ( sk4 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6329,71]) ).
thf(25820,plain,
( ( sk2 != high )
| ( sk4 != mod1 )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[25819:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(95561,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( smaller @ mod1 @ tau )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93908]) ).
thf(95562,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != zero )
| ( smaller @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[95561:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(95674,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( smaller @ mod1 @ tau ) ),
inference(simp,[status(thm)],[95562]) ).
thf(40855,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[22189,39673]) ).
thf(40856,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[40855:[]]) ).
thf(17003,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ mod2 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ mod2 @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9367,65]) ).
thf(17004,plain,
( ( greater @ very_low @ mod2 )
| ( greater_or_equal @ mod2 @ very_low ) ),
inference(pattern_uni,[status(thm)],[17003:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(22881,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ low @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6194,483]) ).
thf(22915,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ( sk4 != low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[22881]) ).
thf(22923,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[22915]) ).
thf(9362,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ mod1 )
| ( greater @ B @ A )
| ( ( smaller @ very_low @ mod1 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2199,133]) ).
thf(9363,plain,
( ( greater @ very_low @ mod1 )
| ( greater @ mod1 @ very_low ) ),
inference(pattern_uni,[status(thm)],[9362:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(16802,plain,
( ( greater @ very_low @ mod1 )
| ( ( greater @ mod1 @ very_low )
!= ( greater @ very_low @ mod1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[9363]) ).
thf(16809,plain,
( ( greater @ very_low @ mod1 )
| ( ( greater @ mod1 @ very_low )
!= ( greater @ very_low @ mod1 ) ) ),
inference(simp,[status(thm)],[16802]) ).
thf(13999,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ mod2 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[263,4471]) ).
thf(14024,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != mod2 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[13999]) ).
thf(128694,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sigma @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125860,71]) ).
thf(128695,plain,
( ( mod2 != zero )
| ~ ( greater @ low @ sigma ) ),
inference(pattern_uni,[status(thm)],[128694:[bind(A,$thf( sigma )),bind(B,$thf( low ))]]) ).
thf(55671,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= zero )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55554,71]) ).
thf(55672,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[55671:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(88696,plain,
! [B: $i,A: $i] :
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk3 ) @ tau )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[62876,65]) ).
thf(88697,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[88696:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(1394,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != mod1 )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,553]) ).
thf(1395,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != mod1 ) ),
inference(pattern_uni,[status(thm)],[1394:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(1701,plain,
( ( smaller @ mod1 @ mod2 )
| ( greater @ mod1 @ mod2 ) ),
inference(simp,[status(thm)],[1395]) ).
thf(4987,plain,
( ( smaller @ mod1 @ mod2 )
| $false ),
inference(rewrite,[status(thm)],[1701,479]) ).
thf(4988,plain,
smaller @ mod1 @ mod2,
inference(simp,[status(thm)],[4987]) ).
thf(344,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[46,149]) ).
thf(345,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[344:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(36688,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[345,5731,30]) ).
thf(36689,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[36688]) ).
thf(125613,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( greater @ tau @ sigma )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[9395,2102]) ).
thf(125673,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( tau != A )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[125613]) ).
thf(125866,plain,
( ( greater @ tau @ low )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[125673]) ).
thf(7438,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != sk2 )
| ( A != sk4 ) ),
inference(paramod_ordered,[status(thm)],[129,1835]) ).
thf(7439,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ sk4 @ A )
| ( smaller @ sk4 @ A )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[7438:[bind(A,$thf( sk4 ))]]) ).
thf(8934,plain,
( ~ ( smaller_or_equal @ sk4 @ sk2 )
| ( smaller @ sk4 @ sk2 ) ),
inference(simp,[status(thm)],[7439]) ).
thf(94535,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sigma @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93807,65]) ).
thf(94536,plain,
( ( mod2 != zero )
| ( greater_or_equal @ sigma @ mod1 ) ),
inference(pattern_uni,[status(thm)],[94535:[bind(A,$thf( sigma )),bind(B,$thf( mod1 ))]]) ).
thf(95691,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( greater_or_equal @ sigma @ mod1 )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94536]) ).
thf(95692,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != zero )
| ( greater_or_equal @ sigma @ mod1 ) ),
inference(pattern_uni,[status(thm)],[95691:[bind(A,$thf( mod2 ))]]) ).
thf(95794,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( greater_or_equal @ sigma @ mod1 ) ),
inference(simp,[status(thm)],[95692]) ).
thf(6160,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ mod2 @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[261,3485]) ).
thf(6189,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != mod2 )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[6160]) ).
thf(9444,plain,
( ( greater @ mod2 @ high )
!= ( greater @ tau @ sigma ) ),
inference(paramod_ordered,[status(thm)],[9395,487]) ).
thf(9457,plain,
( ( mod2 != tau )
| ( high != sigma ) ),
inference(simp,[status(thm)],[9444]) ).
thf(9745,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != sigma )
| ( A
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[129,9479]) ).
thf(9746,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ A )
| ( smaller @ ( age @ sk1 @ sk5 ) @ A )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9745:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( B ))]]) ).
thf(9779,plain,
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ sigma )
| ( smaller @ ( age @ sk1 @ sk5 ) @ sigma ) ),
inference(simp,[status(thm)],[9746]) ).
thf(58428,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55561,65]) ).
thf(58429,plain,
( ( ( age @ sk1 @ sk3 )
!= sigma )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[58428:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(60165,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[24099,58429]) ).
thf(60166,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[60165:[]]) ).
thf(13806,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ mod2 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[263,4470]) ).
thf(13823,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != mod2 )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[13806]) ).
thf(59885,plain,
( ( sk5 != mod2 )
| ( sk4 != low )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[13823,503]) ).
thf(59934,plain,
( ( sk5 != mod2 )
| ( sk4 != low )
| ( sk5 != very_low )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[59885]) ).
thf(59984,plain,
( ( sk5 != mod2 )
| ( sk4 != low )
| ( sk5 != very_low ) ),
inference(simp,[status(thm)],[59934]) ).
thf(6431,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ mod2 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[263,3580]) ).
thf(6443,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != mod2 )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[6431]) ).
thf(30669,plain,
! [B: $i,A: $i] :
( ( sk5 != mod2 )
| ( sk2 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6443,71]) ).
thf(30670,plain,
( ( sk5 != mod2 )
| ( sk2 != low )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[30669:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(18272,plain,
! [B: $i,A: $i] :
( ( greater @ sk4 @ sk5 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9389,65]) ).
thf(18273,plain,
( ( greater @ sk4 @ sk5 )
| ( greater_or_equal @ sk5 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[18272:[bind(A,$thf( sk5 )),bind(B,$thf( sk4 ))]]) ).
thf(6161,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ mod1 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[265,3485]) ).
thf(6190,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != mod1 )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[6161]) ).
thf(21796,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[6190,503]) ).
thf(21830,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( sk4 != very_low )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[21796]) ).
thf(21865,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( sk4 != very_low ) ),
inference(simp,[status(thm)],[21830]) ).
thf(6526,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ low @ high )
| ( B != very_low )
| ( A != high ) ),
inference(paramod_ordered,[status(thm)],[137,6508]) ).
thf(6527,plain,
! [A: $i] :
( ( smaller @ high @ A )
| ( greater @ high @ A )
| ( greater @ low @ high )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[6526:[bind(A,$thf( high ))]]) ).
thf(6587,plain,
( ( smaller @ high @ very_low )
| ( greater @ high @ very_low )
| ( greater @ low @ high ) ),
inference(simp,[status(thm)],[6527]) ).
thf(34276,plain,
! [B: $i,A: $i] :
( ( greater @ high @ very_low )
| ( greater @ low @ high )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ high @ very_low )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6587,126]) ).
thf(34277,plain,
( ( greater @ high @ very_low )
| ( greater @ low @ high )
| ( smaller_or_equal @ high @ very_low ) ),
inference(pattern_uni,[status(thm)],[34276:[bind(A,$thf( high )),bind(B,$thf( very_low ))]]) ).
thf(126175,plain,
( ( greater @ high @ very_low )
| $false
| ( smaller_or_equal @ high @ very_low ) ),
inference(rewrite,[status(thm)],[34277,125986]) ).
thf(126176,plain,
( ( greater @ high @ very_low )
| ( smaller_or_equal @ high @ very_low ) ),
inference(simp,[status(thm)],[126175]) ).
thf(126177,plain,
( ( greater @ very_low @ high )
| $false
| ( greater @ high @ very_low ) ),
inference(rewrite,[status(thm)],[33104,125986]) ).
thf(126178,plain,
( ( greater @ very_low @ high )
| ( greater @ high @ very_low ) ),
inference(simp,[status(thm)],[126177]) ).
thf(9536,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3580]) ).
thf(9548,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != tau )
| ( sk2 != sigma ) ),
inference(simp,[status(thm)],[9536]) ).
thf(3653,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[137,1864]) ).
thf(3654,plain,
! [A: $i] :
( ( smaller @ A @ ( age @ sk1 @ sk4 ) )
| ( greater @ A @ ( age @ sk1 @ sk4 ) )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[3653:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(3676,plain,
( ( smaller @ zero @ ( age @ sk1 @ sk4 ) )
| ( greater @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[3654]) ).
thf(38449,plain,
! [B: $i,A: $i] :
( ( greater @ zero @ ( age @ sk1 @ sk4 ) )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ ( age @ sk1 @ sk4 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[3676,126]) ).
thf(38450,plain,
( ( greater @ zero @ ( age @ sk1 @ sk4 ) )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[38449:[bind(A,$thf( zero )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(106,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( organization @ A ) ),
inference(cnf,[status(esa)],[100]) ).
thf(13780,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ mod2 @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[261,4470]) ).
thf(13828,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != mod2 )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[13780]) ).
thf(64059,plain,
( ( sk5 != mod2 )
| ( sk4 != mod1 )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ mod2 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[13828,487]) ).
thf(64087,plain,
( ( sk5 != mod2 )
| ( sk4 != mod1 )
| ( sk5 != mod2 )
| ( sk4 != high ) ),
inference(simp,[status(thm)],[64059]) ).
thf(64149,plain,
( ( sk5 != mod2 )
| ( sk4 != mod1 )
| ( sk4 != high ) ),
inference(simp,[status(thm)],[64087]) ).
thf(1966,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sk2 )
| ( B != sk4 ) ),
inference(paramod_ordered,[status(thm)],[137,1835]) ).
thf(1967,plain,
! [A: $i] :
( ( smaller @ A @ sk4 )
| ( greater @ A @ sk4 )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[1966:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(1969,plain,
( ( smaller @ sk2 @ sk4 )
| ( greater @ sk2 @ sk4 ) ),
inference(simp,[status(thm)],[1967]) ).
thf(7138,plain,
! [B: $i,A: $i] :
( ( greater @ sk2 @ sk4 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk2 @ sk4 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1969,126]) ).
thf(7139,plain,
( ( greater @ sk2 @ sk4 )
| ( smaller_or_equal @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[7138:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(697,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,149]) ).
thf(698,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[697:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(111651,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[698,5731,30]) ).
thf(111652,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[111651]) ).
thf(142,plain,
( ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
!= ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[36]) ).
thf(144,plain,
( ( sk1 != sk1 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
!= ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[142]) ).
thf(147,plain,
( ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
!= ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[144]) ).
thf(6628,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ high @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[267,3581]) ).
thf(6648,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != high )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[6628]) ).
thf(6414,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ mod2 @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[261,3580]) ).
thf(6451,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != mod2 )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[6414]) ).
thf(154,plain,
( ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
!= ( smaller @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[26,149]) ).
thf(158,plain,
( ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[154]) ).
thf(457,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( high != tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[48,158]) ).
thf(458,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk4 )
| ( is_aligned @ sk1 @ sk4 )
| ( positional_advantage @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( high != tau ) ),
inference(pattern_uni,[status(thm)],[457:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(76904,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk4 )
| $false
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( high != tau ) ),
inference(rewrite,[status(thm)],[458,5731,4388,30]) ).
thf(76905,plain,
( ( is_aligned @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( high != tau ) ),
inference(simp,[status(thm)],[76904]) ).
thf(9717,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[31,134]) ).
thf(9718,plain,
smaller @ sigma @ ( age @ sk1 @ sk4 ),
inference(pattern_uni,[status(thm)],[9717:[bind(A,$thf( sigma )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(9913,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ sigma @ ( age @ sk1 @ sk4 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9718,126]) ).
thf(9914,plain,
smaller_or_equal @ sigma @ ( age @ sk1 @ sk4 ),
inference(pattern_uni,[status(thm)],[9913:[bind(A,$thf( sigma )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(100956,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100571,134]) ).
thf(100957,plain,
smaller @ zero @ ( age @ sk1 @ sk5 ),
inference(pattern_uni,[status(thm)],[100956:[bind(A,$thf( zero )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(47678,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( very_low != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ mod2 @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7100,71]) ).
thf(47679,plain,
( ( mod2 != tau )
| ( very_low != zero )
| ~ ( greater @ very_low @ mod2 ) ),
inference(pattern_uni,[status(thm)],[47678:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(7596,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != zero )
| ( B
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[129,1864]) ).
thf(7597,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ ( age @ sk1 @ sk4 ) )
| ( smaller @ A @ ( age @ sk1 @ sk4 ) )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[7596:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(9035,plain,
( ~ ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[7597]) ).
thf(2997,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != very_low )
| ( A != mod1 ) ),
inference(paramod_ordered,[status(thm)],[68,2188]) ).
thf(2998,plain,
! [A: $i] :
( ~ ( greater_or_equal @ mod1 @ A )
| ( greater @ mod1 @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2997:[bind(A,$thf( mod1 ))]]) ).
thf(3623,plain,
( ~ ( greater_or_equal @ mod1 @ very_low )
| ( greater @ mod1 @ very_low ) ),
inference(simp,[status(thm)],[2998]) ).
thf(16048,plain,
( ( greater @ mod1 @ very_low )
| ( ( greater_or_equal @ mod1 @ very_low )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3623]) ).
thf(16077,plain,
( ( greater @ mod1 @ very_low )
| ( mod1 != tau )
| ( very_low != sigma ) ),
inference(simp,[status(thm)],[16048]) ).
thf(94560,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller @ A @ B )
| ( ( greater @ sigma @ mod1 )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[93807,134]) ).
thf(94561,plain,
( ( mod2 != zero )
| ( smaller @ mod1 @ sigma ) ),
inference(pattern_uni,[status(thm)],[94560:[bind(A,$thf( mod1 )),bind(B,$thf( sigma ))]]) ).
thf(95871,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94561,126]) ).
thf(95872,plain,
( ( mod2 != zero )
| ( smaller_or_equal @ mod1 @ sigma ) ),
inference(pattern_uni,[status(thm)],[95871:[bind(A,$thf( mod1 )),bind(B,$thf( sigma ))]]) ).
thf(6324,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ low @ very_low ) ) ),
inference(paramod_ordered,[status(thm)],[277,3486]) ).
thf(6327,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != low )
| ( sk4 != very_low ) ),
inference(simp,[status(thm)],[6324]) ).
thf(61837,plain,
( ( sk5 != high )
| ( sk4 != mod2 )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ mod1 @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[13826,479]) ).
thf(61957,plain,
( ( sk5 != high )
| ( sk4 != mod2 )
| ( sk5 != mod1 )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[61837]) ).
thf(61997,plain,
( ( sk5 != high )
| ( sk4 != mod2 )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[61957]) ).
thf(76737,plain,
( ( mod1 != tau )
| ( very_low != sigma )
| ( ( greater @ mod1 @ very_low )
!= ( greater @ zero @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[16077,519]) ).
thf(76850,plain,
( ( mod1 != tau )
| ( very_low != sigma )
| ( mod1 != zero )
| ( very_low != sigma ) ),
inference(simp,[status(thm)],[76737]) ).
thf(76890,plain,
( ( mod1 != tau )
| ( very_low != sigma )
| ( mod1 != zero ) ),
inference(simp,[status(thm)],[76850]) ).
thf(55898,plain,
! [B: $i,A: $i] :
( ( sk3 != sk2 )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55810,71]) ).
thf(55899,plain,
( ( sk3 != sk2 )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[55898:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(22876,plain,
! [B: $i,A: $i] :
( ( sk4 != low )
| ( sk2 != very_low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6194,71]) ).
thf(22877,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[22876:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(25578,plain,
! [B: $i,A: $i] :
( ( sk5 != sk3 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24949,65]) ).
thf(25579,plain,
( ( sk5 != sk3 )
| ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[25578:[bind(A,$thf( sigma )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(6312,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,3486]) ).
thf(6331,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != tau )
| ( sk4 != zero ) ),
inference(simp,[status(thm)],[6312]) ).
thf(26814,plain,
! [B: $i,A: $i] :
( ( sk2 != tau )
| ( sk4 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6331,71]) ).
thf(26815,plain,
( ( sk2 != tau )
| ( sk4 != zero )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[26814:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(21426,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != tau )
| ( B
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[137,21419]) ).
thf(21427,plain,
! [A: $i] :
( ( smaller @ A @ ( age @ sk1 @ sk3 ) )
| ( greater @ A @ ( age @ sk1 @ sk3 ) )
| ( A != tau ) ),
inference(pattern_uni,[status(thm)],[21426:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(21466,plain,
( ( smaller @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[21427]) ).
thf(94575,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sigma @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93807,71]) ).
thf(94576,plain,
( ( mod2 != zero )
| ~ ( greater @ mod1 @ sigma ) ),
inference(pattern_uni,[status(thm)],[94575:[bind(A,$thf( sigma )),bind(B,$thf( mod1 ))]]) ).
thf(39636,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk4 )
!= tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[39327,65]) ).
thf(39637,plain,
( ( ( age @ sk1 @ sk4 )
!= tau )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[39636:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( zero ))]]) ).
thf(40521,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[7467,39637]) ).
thf(40522,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[40521:[]]) ).
thf(102609,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ mod2 @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100793,71]) ).
thf(102610,plain,
( ( low != tau )
| ~ ( greater @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[102609:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(125571,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[27,2102]) ).
thf(125724,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( age @ sk1 @ sk5 )
!= A )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[125571]) ).
thf(125794,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ low )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[125724]) ).
thf(97004,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sigma )
| ( smaller_or_equal @ mod1 @ tau )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,96139]) ).
thf(97005,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != sigma )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[97004:[bind(A,$thf( mod2 ))]]) ).
thf(97114,plain,
( ( smaller @ mod2 @ sigma )
| ( greater @ mod2 @ sigma )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(simp,[status(thm)],[97005]) ).
thf(100617,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ high @ mod1 )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[139,2094]) ).
thf(100704,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( high != A )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[100617]) ).
thf(100821,plain,
( ( greater @ high @ zero )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[100704]) ).
thf(103549,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ high @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100821,71]) ).
thf(103550,plain,
( ( mod1 != tau )
| ~ ( greater @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[103549:[bind(A,$thf( high )),bind(B,$thf( zero ))]]) ).
thf(539,plain,
( ( greater @ mod1 @ mod2 )
!= ( greater @ sigma @ zero ) ),
inference(paramod_ordered,[status(thm)],[23,479]) ).
thf(546,plain,
( ( mod1 != sigma )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[539]) ).
thf(1853,plain,
( ( greater @ sigma @ zero )
!= ( greater @ zero @ sigma ) ),
inference(paramod_ordered,[status(thm)],[23,519]) ).
thf(1859,plain,
( ( sigma != zero )
| ( sigma != zero ) ),
inference(simp,[status(thm)],[1853]) ).
thf(1865,plain,
sigma != zero,
inference(simp,[status(thm)],[1859]) ).
thf(3045,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B != sigma ) ),
inference(paramod_ordered,[status(thm)],[68,1865]) ).
thf(3046,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ sigma )
| ( greater @ A @ sigma )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[3045:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(3638,plain,
( ~ ( greater_or_equal @ zero @ sigma )
| ( greater @ zero @ sigma ) ),
inference(simp,[status(thm)],[3046]) ).
thf(6730,plain,
( ~ ( greater_or_equal @ zero @ sigma )
| $false ),
inference(rewrite,[status(thm)],[3638,519]) ).
thf(6731,plain,
~ ( greater_or_equal @ zero @ sigma ),
inference(simp,[status(thm)],[6730]) ).
thf(7998,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != very_low )
| ( A != mod1 ) ),
inference(paramod_ordered,[status(thm)],[129,2188]) ).
thf(7999,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ mod1 @ A )
| ( smaller @ mod1 @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[7998:[bind(A,$thf( mod1 ))]]) ).
thf(9221,plain,
( ~ ( smaller_or_equal @ mod1 @ very_low )
| ( smaller @ mod1 @ very_low ) ),
inference(simp,[status(thm)],[7999]) ).
thf(102855,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ mod2 @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100794,65]) ).
thf(102856,plain,
( ( mod1 != tau )
| ( greater_or_equal @ mod2 @ zero ) ),
inference(pattern_uni,[status(thm)],[102855:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(11,axiom,
! [A: $i] :
( ( has_endowment @ A )
<=> ! [B: $i] :
( ( organization @ A )
& ( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
thf(85,plain,
! [A: $i] :
( ( ( has_endowment @ A )
=> ! [B: $i] :
( ( organization @ A )
& ( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) ) )
& ( ! [B: $i] :
( ( organization @ A )
& ( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) )
=> ( has_endowment @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(695,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[50,149]) ).
thf(696,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk5 )
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ ( positional_advantage @ sk1 @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[695:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(110907,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ $true
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[696,5731,4425,30]) ).
thf(110908,plain,
( ~ ( is_aligned @ sk1 @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[110907]) ).
thf(33134,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ high )
| ( greater @ low @ high )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ very_low @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6574,126]) ).
thf(33135,plain,
( ( greater @ very_low @ high )
| ( greater @ low @ high )
| ( smaller_or_equal @ very_low @ high ) ),
inference(pattern_uni,[status(thm)],[33134:[bind(A,$thf( very_low )),bind(B,$thf( high ))]]) ).
thf(126171,plain,
( ( greater @ very_low @ high )
| $false
| ( smaller_or_equal @ very_low @ high ) ),
inference(rewrite,[status(thm)],[33135,125986]) ).
thf(126172,plain,
( ( greater @ very_low @ high )
| ( smaller_or_equal @ very_low @ high ) ),
inference(simp,[status(thm)],[126171]) ).
thf(39681,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk4 )
!= tau )
| ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[39327,71]) ).
thf(39682,plain,
( ( ( age @ sk1 @ sk4 )
!= tau )
| ~ ( greater @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[39681:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( zero ))]]) ).
thf(41159,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ~ ( greater @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[29819,39682]) ).
thf(41160,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ~ ( greater @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[41159:[]]) ).
thf(58259,plain,
( ( sk5 != low )
| ( sk4 != very_low )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ low @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[13820,483]) ).
thf(58315,plain,
( ( sk5 != low )
| ( sk4 != very_low )
| ( sk5 != low )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[58259]) ).
thf(58349,plain,
( ( sk5 != low )
| ( sk4 != very_low )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[58315]) ).
thf(1964,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sk2 )
| ( A != sk4 ) ),
inference(paramod_ordered,[status(thm)],[137,1835]) ).
thf(1965,plain,
! [A: $i] :
( ( smaller @ sk4 @ A )
| ( greater @ sk4 @ A )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[1964:[bind(A,$thf( sk4 ))]]) ).
thf(1968,plain,
( ( smaller @ sk4 @ sk2 )
| ( greater @ sk4 @ sk2 ) ),
inference(simp,[status(thm)],[1965]) ).
thf(7128,plain,
! [B: $i,A: $i] :
( ( greater @ sk4 @ sk2 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk4 @ sk2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1968,126]) ).
thf(7129,plain,
( ( greater @ sk4 @ sk2 )
| ( smaller_or_equal @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[7128:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(102627,plain,
( ( low != tau )
| ( ( greater @ mod2 @ high )
!= ( greater @ mod2 @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[100793,487]) ).
thf(102731,plain,
( ( low != tau )
| ( mod2 != mod2 )
| ( high != zero ) ),
inference(simp,[status(thm)],[102627]) ).
thf(102760,plain,
( ( low != tau )
| ( high != zero ) ),
inference(simp,[status(thm)],[102731]) ).
thf(340,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( mod2 != tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[46,157]) ).
thf(341,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( mod2 != tau ) ),
inference(pattern_uni,[status(thm)],[340:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(35266,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( mod2 != tau ) ),
inference(rewrite,[status(thm)],[341,5731,30]) ).
thf(35267,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[35266]) ).
thf(101000,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[100571,2088]) ).
thf(101092,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( age @ sk1 @ sk5 )
!= A )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[101000]) ).
thf(101151,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[101092]) ).
thf(3703,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ tau @ ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[27,499]) ).
thf(3728,plain,
( ( ( age @ sk1 @ sk5 )
!= tau )
| ( ( age @ sk1 @ sk5 )
!= tau ) ),
inference(simp,[status(thm)],[3703]) ).
thf(3742,plain,
( ( age @ sk1 @ sk5 )
!= tau ),
inference(simp,[status(thm)],[3728]) ).
thf(3769,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != tau )
| ( B
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[68,3742]) ).
thf(3770,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( age @ sk1 @ sk5 ) )
| ( greater @ A @ ( age @ sk1 @ sk5 ) )
| ( A != tau ) ),
inference(pattern_uni,[status(thm)],[3769:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(3783,plain,
( ~ ( greater_or_equal @ tau @ ( age @ sk1 @ sk5 ) )
| ( greater @ tau @ ( age @ sk1 @ sk5 ) ) ),
inference(simp,[status(thm)],[3770]) ).
thf(44126,plain,
( ~ ( greater_or_equal @ tau @ ( age @ sk1 @ sk5 ) )
| $false ),
inference(rewrite,[status(thm)],[3783,499]) ).
thf(44127,plain,
~ ( greater_or_equal @ tau @ ( age @ sk1 @ sk5 ) ),
inference(simp,[status(thm)],[44126]) ).
thf(2194,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != very_low )
| ( A != mod1 ) ),
inference(paramod_ordered,[status(thm)],[137,2188]) ).
thf(2195,plain,
! [A: $i] :
( ( smaller @ mod1 @ A )
| ( greater @ mod1 @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2194:[bind(A,$thf( mod1 ))]]) ).
thf(2198,plain,
( ( smaller @ mod1 @ very_low )
| ( greater @ mod1 @ very_low ) ),
inference(simp,[status(thm)],[2195]) ).
thf(7160,plain,
! [B: $i,A: $i] :
( ( greater @ mod1 @ very_low )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ very_low )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2198,126]) ).
thf(7161,plain,
( ( greater @ mod1 @ very_low )
| ( smaller_or_equal @ mod1 @ very_low ) ),
inference(pattern_uni,[status(thm)],[7160:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(103534,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ( smaller @ A @ B )
| ( ( greater @ high @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100821,134]) ).
thf(103535,plain,
( ( mod1 != tau )
| ( smaller @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[103534:[bind(A,$thf( zero )),bind(B,$thf( high ))]]) ).
thf(6177,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ mod2 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[263,3485]) ).
thf(6192,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != mod2 )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[6177]) ).
thf(22091,plain,
! [B: $i,A: $i] :
( ( sk4 != mod2 )
| ( sk2 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6192,71]) ).
thf(22092,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[22091:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(2222,plain,
( ( greater @ mod1 @ low )
!= ( greater @ low @ mod1 ) ),
inference(paramod_ordered,[status(thm)],[113,507]) ).
thf(2228,plain,
( ( mod1 != low )
| ( mod1 != low ) ),
inference(simp,[status(thm)],[2222]) ).
thf(2240,plain,
mod1 != low,
inference(simp,[status(thm)],[2228]) ).
thf(7746,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != low )
| ( A != mod1 ) ),
inference(paramod_ordered,[status(thm)],[129,2240]) ).
thf(7747,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ mod1 @ A )
| ( smaller @ mod1 @ A )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[7746:[bind(A,$thf( mod1 ))]]) ).
thf(9126,plain,
( ~ ( smaller_or_equal @ mod1 @ low )
| ( smaller @ mod1 @ low ) ),
inference(simp,[status(thm)],[7747]) ).
thf(46220,plain,
! [B: $i,A: $i] :
( ( sk2 != mod2 )
| ( sk5 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6651,71]) ).
thf(46221,plain,
( ( sk2 != mod2 )
| ( sk5 != mod1 )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[46220:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(93879,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ tau @ mod1 )
| ( A != zero )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93751]) ).
thf(93880,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( greater @ tau @ mod1 )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[93879:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(94071,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( greater @ tau @ mod1 ) ),
inference(simp,[status(thm)],[93880]) ).
thf(120517,plain,
! [B: $i,A: $i] :
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[118707,71]) ).
thf(120518,plain,
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[120517:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(21800,plain,
! [B: $i,A: $i] :
( ( sk4 != mod1 )
| ( sk2 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6190,71]) ).
thf(21801,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[21800:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(20426,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ tau )
!= ( greater @ high @ mod1 ) ),
inference(paramod_ordered,[status(thm)],[139,20373]) ).
thf(20459,plain,
( ( ( age @ sk1 @ sk4 )
!= high )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[20426]) ).
thf(129653,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( smaller @ A @ B )
| ( ( greater @ tau @ low )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[125866,134]) ).
thf(129654,plain,
( ( mod2 != sigma )
| ( smaller @ low @ tau ) ),
inference(pattern_uni,[status(thm)],[129653:[bind(A,$thf( low )),bind(B,$thf( tau ))]]) ).
thf(7590,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != zero )
| ( A
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[129,1864]) ).
thf(7591,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk4 ) @ A )
| ( smaller @ ( age @ sk1 @ sk4 ) @ A )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[7590:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( B ))]]) ).
thf(9031,plain,
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk4 ) @ zero )
| ( smaller @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(simp,[status(thm)],[7591]) ).
thf(274,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[27,65]) ).
thf(275,plain,
greater_or_equal @ ( age @ sk1 @ sk5 ) @ tau,
inference(pattern_uni,[status(thm)],[274:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( tau ))]]) ).
thf(86,plain,
( ! [A: $i] :
( ( has_endowment @ A )
=> ( ( organization @ A )
& ! [B: $i] :
( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ! [B: $i] :
( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) ) )
& ! [A: $i] :
( ( ( organization @ A )
& ! [B: $i] :
( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ! [B: $i] :
( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) )
=> ( has_endowment @ A ) ) ),
inference(miniscope,[status(thm)],[85]) ).
thf(92,plain,
! [A: $i] :
( ~ ( has_endowment @ A )
| ( organization @ A ) ),
inference(cnf,[status(esa)],[86]) ).
thf(91,plain,
! [B: $i,A: $i] :
( ~ ( has_endowment @ A )
| ~ ( greater @ ( age @ A @ B ) @ eta )
| ~ ( has_immunity @ A @ B ) ),
inference(cnf,[status(esa)],[86]) ).
thf(97,plain,
! [B: $i,A: $i] :
( ~ ( has_endowment @ A )
| ~ ( greater @ ( age @ A @ B ) @ eta )
| ~ ( has_immunity @ A @ B ) ),
inference(simp,[status(thm)],[91]) ).
thf(21438,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != tau )
| ( B
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[129,21419]) ).
thf(21439,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ ( age @ sk1 @ sk3 ) )
| ( smaller @ A @ ( age @ sk1 @ sk3 ) )
| ( A != tau ) ),
inference(pattern_uni,[status(thm)],[21438:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(21470,plain,
( ~ ( smaller_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
| ( smaller @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[21439]) ).
thf(14011,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ low @ very_low ) ) ),
inference(paramod_ordered,[status(thm)],[277,4471]) ).
thf(14013,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != low )
| ( sk5 != very_low ) ),
inference(simp,[status(thm)],[14011]) ).
thf(411,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[48,157]) ).
thf(412,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk4 )
| ( is_aligned @ sk1 @ sk4 )
| ( positional_advantage @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[411:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(60884,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk4 )
| $false
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(rewrite,[status(thm)],[412,5731,4388,30]) ).
thf(60885,plain,
( ( is_aligned @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[60884]) ).
thf(135014,plain,
( ( mod2 != tau )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ low )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125794,503]) ).
thf(135177,plain,
( ( mod2 != tau )
| ( ( age @ sk1 @ sk5 )
!= very_low )
| ( low != low ) ),
inference(simp,[status(thm)],[135014]) ).
thf(135208,plain,
( ( mod2 != tau )
| ( ( age @ sk1 @ sk5 )
!= very_low ) ),
inference(simp,[status(thm)],[135177]) ).
thf(105240,plain,
! [B: $i,A: $i] :
( ( very_low != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ low )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[101704,126]) ).
thf(105241,plain,
( ( very_low != tau )
| ( smaller_or_equal @ zero @ low ) ),
inference(pattern_uni,[status(thm)],[105240:[bind(A,$thf( zero )),bind(B,$thf( low ))]]) ).
thf(9764,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != sigma )
| ( B
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[68,9479]) ).
thf(9765,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( age @ sk1 @ sk5 ) )
| ( greater @ A @ ( age @ sk1 @ sk5 ) )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9764:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(9773,plain,
( ~ ( greater_or_equal @ sigma @ ( age @ sk1 @ sk5 ) )
| ( greater @ sigma @ ( age @ sk1 @ sk5 ) ) ),
inference(simp,[status(thm)],[9765]) ).
thf(100953,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ very_low @ low ) ),
inference(paramod_ordered,[status(thm)],[100571,503]) ).
thf(101044,plain,
( ( ( age @ sk1 @ sk5 )
!= very_low )
| ( low != zero ) ),
inference(simp,[status(thm)],[100953]) ).
thf(26973,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != sk3 )
| ( B != sk4 ) ),
inference(paramod_ordered,[status(thm)],[68,26942]) ).
thf(26974,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ sk4 )
| ( greater @ A @ sk4 )
| ( A != sk3 ) ),
inference(pattern_uni,[status(thm)],[26973:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(26980,plain,
( ~ ( greater_or_equal @ sk3 @ sk4 )
| ( greater @ sk3 @ sk4 ) ),
inference(simp,[status(thm)],[26974]) ).
thf(33309,plain,
! [B: $i,A: $i] :
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6451,71]) ).
thf(33310,plain,
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[33309:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(93586,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[31,2088]) ).
thf(93662,plain,
! [A: $i] :
( ( greater @ A @ mod1 )
| ( ( age @ sk1 @ sk4 )
!= A )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[93586]) ).
thf(93804,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ mod1 )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[93662]) ).
thf(97817,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93804,65]) ).
thf(97818,plain,
( ( mod2 != sigma )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ mod1 ) ),
inference(pattern_uni,[status(thm)],[97817:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( mod1 ))]]) ).
thf(60066,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7569,58429]) ).
thf(60067,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[60066:[]]) ).
thf(44579,plain,
! [B: $i,A: $i] :
( ( sk2 != high )
| ( sk5 != mod2 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6648,71]) ).
thf(44580,plain,
( ( sk2 != high )
| ( sk5 != mod2 )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[44579:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(6313,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ high @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[267,3486]) ).
thf(6335,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != high )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[6313]) ).
thf(8070,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != zero )
| ( A != sigma ) ),
inference(paramod_ordered,[status(thm)],[129,1865]) ).
thf(8071,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ sigma @ A )
| ( smaller @ sigma @ A )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[8070:[bind(A,$thf( sigma ))]]) ).
thf(9245,plain,
( ~ ( smaller_or_equal @ sigma @ zero )
| ( smaller @ sigma @ zero ) ),
inference(simp,[status(thm)],[8071]) ).
thf(104311,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( smaller @ A @ B )
| ( ( greater @ high @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100854,134]) ).
thf(104312,plain,
( ( mod2 != tau )
| ( smaller @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[104311:[bind(A,$thf( zero )),bind(B,$thf( high ))]]) ).
thf(131656,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ low @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[129654,126]) ).
thf(131657,plain,
( ( mod2 != sigma )
| ( smaller_or_equal @ low @ tau ) ),
inference(pattern_uni,[status(thm)],[131656:[bind(A,$thf( low )),bind(B,$thf( tau ))]]) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ C )
| ( is_aligned @ A @ B )
| ( dissimilar @ A @ B @ C ) ),
inference(cnf,[status(esa)],[100]) ).
thf(109,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ C )
| ( is_aligned @ A @ B )
| ( dissimilar @ A @ B @ C ) ),
inference(simp,[status(thm)],[104]) ).
thf(455,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( high != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,158]) ).
thf(456,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( high != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[455:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(76025,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( high != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(rewrite,[status(thm)],[456,5731,30]) ).
thf(76026,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( high != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[76025]) ).
thf(13803,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ high @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[281,4470]) ).
thf(13819,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != high )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[13803]) ).
thf(57598,plain,
( ( sk5 != high )
| ( sk4 != mod1 )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[13819,507]) ).
thf(57716,plain,
( ( sk5 != high )
| ( sk4 != mod1 )
| ( sk5 != low )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[57598]) ).
thf(57759,plain,
( ( sk5 != high )
| ( sk4 != mod1 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[57716]) ).
thf(55859,plain,
! [B: $i,A: $i] :
( ( sk3 != sk2 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55810,65]) ).
thf(55860,plain,
( ( sk3 != sk2 )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[55859:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(6626,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ high @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[281,3581]) ).
thf(6642,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != high )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[6626]) ).
thf(632,plain,
( ( greater @ low @ very_low )
!= ( greater @ zero @ tau ) ),
inference(paramod_ordered,[status(thm)],[54,491]) ).
thf(642,plain,
( ( low != zero )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[632]) ).
thf(94420,plain,
! [B: $i,A: $i] :
( ( greater @ mod2 @ zero )
| ( greater @ tau @ mod1 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod2 @ zero )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94070,126]) ).
thf(94421,plain,
( ( greater @ mod2 @ zero )
| ( greater @ tau @ mod1 )
| ( smaller_or_equal @ mod2 @ zero ) ),
inference(pattern_uni,[status(thm)],[94420:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(30947,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
= sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24099,71]) ).
thf(30948,plain,
( ( ( age @ sk1 @ sk3 )
= sigma )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma ) ),
inference(pattern_uni,[status(thm)],[30947:[bind(A,$thf( sigma )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(62734,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30948,60386]) ).
thf(62735,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[62734:[]]) ).
thf(7680,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != sk2 )
| ( B != sk5 ) ),
inference(paramod_ordered,[status(thm)],[129,625]) ).
thf(7681,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ sk5 )
| ( smaller @ A @ sk5 )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[7680:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(9085,plain,
( ~ ( smaller_or_equal @ sk2 @ sk5 )
| ( smaller @ sk2 @ sk5 ) ),
inference(simp,[status(thm)],[7681]) ).
thf(103508,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ high @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100821,65]) ).
thf(103509,plain,
( ( mod1 != tau )
| ( greater_or_equal @ high @ zero ) ),
inference(pattern_uni,[status(thm)],[103508:[bind(A,$thf( high )),bind(B,$thf( zero ))]]) ).
thf(89,plain,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk8 @ A ) ) @ eta )
| ( has_immunity @ A @ ( sk9 @ A ) )
| ( has_endowment @ A ) ),
inference(cnf,[status(esa)],[86]) ).
thf(96,plain,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk8 @ A ) ) @ eta )
| ( has_immunity @ A @ ( sk9 @ A ) )
| ( has_endowment @ A ) ),
inference(simp,[status(thm)],[89]) ).
thf(536,plain,
( ( greater @ mod1 @ mod2 )
!= ( greater @ mod1 @ low ) ),
inference(paramod_ordered,[status(thm)],[113,479]) ).
thf(547,plain,
( ( mod1 != mod1 )
| ( mod2 != low ) ),
inference(simp,[status(thm)],[536]) ).
thf(554,plain,
mod2 != low,
inference(simp,[status(thm)],[547]) ).
thf(745,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ low @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[31,483]) ).
thf(753,plain,
( ( ( age @ sk1 @ sk4 )
!= low )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[745]) ).
thf(94526,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ sigma @ mod1 )
| ( B != zero )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93807]) ).
thf(94527,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( greater @ sigma @ mod1 )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[94526:[bind(A,$thf( mod2 ))]]) ).
thf(94713,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( greater @ sigma @ mod1 ) ),
inference(simp,[status(thm)],[94527]) ).
thf(1210,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != low )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,554]) ).
thf(1211,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[1210:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(1651,plain,
( ( smaller @ low @ mod2 )
| ( greater @ low @ mod2 ) ),
inference(simp,[status(thm)],[1211]) ).
thf(4720,plain,
( ( smaller @ low @ mod2 )
| $false ),
inference(rewrite,[status(thm)],[1651,483]) ).
thf(4721,plain,
smaller @ low @ mod2,
inference(simp,[status(thm)],[4720]) ).
thf(26963,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sk3 )
| ( A != sk4 ) ),
inference(paramod_ordered,[status(thm)],[137,26942]) ).
thf(26964,plain,
! [A: $i] :
( ( smaller @ sk4 @ A )
| ( greater @ sk4 @ A )
| ( A != sk3 ) ),
inference(pattern_uni,[status(thm)],[26963:[bind(A,$thf( sk4 ))]]) ).
thf(26975,plain,
( ( smaller @ sk4 @ sk3 )
| ( greater @ sk4 @ sk3 ) ),
inference(simp,[status(thm)],[26964]) ).
thf(27015,plain,
! [B: $i,A: $i] :
( ( greater @ sk4 @ sk3 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk4 @ sk3 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[26975,126]) ).
thf(27016,plain,
( ( greater @ sk4 @ sk3 )
| ( smaller_or_equal @ sk4 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[27015:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(836,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater_or_equal @ sigma @ A )
| ( B != zero ) ),
inference(paramod_ordered,[status(thm)],[137,283]) ).
thf(837,plain,
! [A: $i] :
( ( smaller @ A @ zero )
| ( greater @ A @ zero )
| ( greater_or_equal @ sigma @ A ) ),
inference(pattern_uni,[status(thm)],[836:[bind(A,$thf( A )),bind(B,$thf( zero ))]]) ).
thf(3647,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( A
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[137,1864]) ).
thf(3648,plain,
! [A: $i] :
( ( smaller @ ( age @ sk1 @ sk4 ) @ A )
| ( greater @ ( age @ sk1 @ sk4 ) @ A )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[3647:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( B ))]]) ).
thf(3673,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ zero )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(simp,[status(thm)],[3648]) ).
thf(38240,plain,
! [B: $i,A: $i] :
( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ ( age @ sk1 @ sk4 ) @ zero )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[3673,126]) ).
thf(38241,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( smaller_or_equal @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[38240:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( zero ))]]) ).
thf(3149,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != mod1 )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[68,553]) ).
thf(3150,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != mod1 ) ),
inference(pattern_uni,[status(thm)],[3149:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(3395,plain,
( ~ ( greater_or_equal @ mod1 @ mod2 )
| ( greater @ mod1 @ mod2 ) ),
inference(simp,[status(thm)],[3150]) ).
thf(6206,plain,
( ~ ( greater_or_equal @ mod1 @ mod2 )
| $false ),
inference(rewrite,[status(thm)],[3395,479]) ).
thf(6207,plain,
~ ( greater_or_equal @ mod1 @ mod2 ),
inference(simp,[status(thm)],[6206]) ).
thf(172,plain,
( ( sk3 != sk2 )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
!= ( smaller @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[26,157]) ).
thf(173,plain,
( ( sk3 != sk2 )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[172]) ).
thf(129650,plain,
( ( mod2 != sigma )
| ( ( greater @ very_low @ low )
!= ( greater @ tau @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125866,503]) ).
thf(129749,plain,
( ( mod2 != sigma )
| ( very_low != tau )
| ( low != low ) ),
inference(simp,[status(thm)],[129650]) ).
thf(129835,plain,
( ( mod2 != sigma )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[129749]) ).
thf(6433,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3580]) ).
thf(6450,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != sigma )
| ( sk2 != zero ) ),
inference(simp,[status(thm)],[6433]) ).
thf(125897,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( ( greater @ high @ low )
!= ( greater @ A @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[125589,2094]) ).
thf(126127,plain,
! [A: $i] :
( ( greater @ A @ zero )
| ( high != A )
| ( low != tau ) ),
inference(simp,[status(thm)],[125897]) ).
thf(126149,plain,
( ( greater @ high @ zero )
| ( low != tau ) ),
inference(simp,[status(thm)],[126127]) ).
thf(130230,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ high @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[126149,65]) ).
thf(130231,plain,
( ( low != tau )
| ( greater_or_equal @ high @ zero ) ),
inference(pattern_uni,[status(thm)],[130230:[bind(A,$thf( high )),bind(B,$thf( zero ))]]) ).
thf(7122,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4988,126]) ).
thf(7123,plain,
smaller_or_equal @ mod1 @ mod2,
inference(pattern_uni,[status(thm)],[7122:[bind(A,$thf( mod1 )),bind(B,$thf( mod2 ))]]) ).
thf(13809,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,4470]) ).
thf(13822,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != sigma )
| ( sk4 != zero ) ),
inference(simp,[status(thm)],[13809]) ).
thf(2529,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != mod1 )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[68,555]) ).
thf(2530,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ high )
| ( greater @ A @ high )
| ( A != mod1 ) ),
inference(pattern_uni,[status(thm)],[2529:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(3484,plain,
( ~ ( greater_or_equal @ mod1 @ high )
| ( greater @ mod1 @ high ) ),
inference(simp,[status(thm)],[2530]) ).
thf(6987,plain,
( ~ ( greater_or_equal @ mod1 @ high )
| $false ),
inference(rewrite,[status(thm)],[3484,515]) ).
thf(6988,plain,
~ ( greater_or_equal @ mod1 @ high ),
inference(simp,[status(thm)],[6987]) ).
thf(60078,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30891,58429]) ).
thf(60079,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[60078:[]]) ).
thf(626,plain,
( ( greater @ mod2 @ low )
!= ( greater @ zero @ tau ) ),
inference(paramod_ordered,[status(thm)],[53,491]) ).
thf(647,plain,
( ( mod2 != zero )
| ( low != tau ) ),
inference(simp,[status(thm)],[626]) ).
thf(21575,plain,
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ mod2 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[6189,487]) ).
thf(21607,plain,
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ( sk4 != mod2 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[21575]) ).
thf(21636,plain,
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[21607]) ).
thf(114734,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[101151,134]) ).
thf(114735,plain,
( ( mod2 != zero )
| ( smaller @ mod1 @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[114734:[bind(A,$thf( mod1 )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(115881,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ ( age @ sk1 @ sk5 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[114735,126]) ).
thf(115882,plain,
( ( mod2 != zero )
| ( smaller_or_equal @ mod1 @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[115881:[bind(A,$thf( mod1 )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(6175,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,3485]) ).
thf(6196,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != tau )
| ( sk2 != zero ) ),
inference(simp,[status(thm)],[6175]) ).
thf(23817,plain,
! [B: $i,A: $i] :
( ( sk4 != tau )
| ( sk2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6196,71]) ).
thf(23818,plain,
( ( sk4 != tau )
| ( sk2 != zero )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[23817:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(40643,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[29819,39637]) ).
thf(40644,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[40643:[]]) ).
thf(130254,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( smaller @ A @ B )
| ( ( greater @ high @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[126149,134]) ).
thf(130255,plain,
( ( low != tau )
| ( smaller @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[130254:[bind(A,$thf( zero )),bind(B,$thf( high ))]]) ).
thf(131960,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[130255,126]) ).
thf(131961,plain,
( ( low != tau )
| ( smaller_or_equal @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[131960:[bind(A,$thf( zero )),bind(B,$thf( high ))]]) ).
thf(7620,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != very_low )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[129,761]) ).
thf(7621,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ mod2 )
| ( smaller @ A @ mod2 )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[7620:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(9053,plain,
( ~ ( smaller_or_equal @ very_low @ mod2 )
| ( smaller @ very_low @ mod2 ) ),
inference(simp,[status(thm)],[7621]) ).
thf(6430,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ high @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[267,3580]) ).
thf(6447,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != high )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[6430]) ).
thf(32208,plain,
( ( sk5 != high )
| ( sk2 != mod2 )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ low @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6447,483]) ).
thf(32235,plain,
( ( sk5 != high )
| ( sk2 != mod2 )
| ( sk5 != low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[32208]) ).
thf(32282,plain,
( ( sk5 != high )
| ( sk2 != mod2 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32235]) ).
thf(2897,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != low )
| ( B != mod1 ) ),
inference(paramod_ordered,[status(thm)],[68,2240]) ).
thf(2898,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ mod1 )
| ( greater @ A @ mod1 )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[2897:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(3595,plain,
( ~ ( greater_or_equal @ low @ mod1 )
| ( greater @ low @ mod1 ) ),
inference(simp,[status(thm)],[2898]) ).
thf(15462,plain,
( ~ ( greater_or_equal @ low @ mod1 )
| $false ),
inference(rewrite,[status(thm)],[3595,507]) ).
thf(15463,plain,
~ ( greater_or_equal @ low @ mod1 ),
inference(simp,[status(thm)],[15462]) ).
thf(124,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(cnf,[status(esa)],[122]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(lifteq,[status(thm)],[124]) ).
thf(128,plain,
! [A: $i] : ( smaller_or_equal @ A @ A ),
inference(simp,[status(thm)],[127]) ).
thf(2999,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != mod1 ) ),
inference(paramod_ordered,[status(thm)],[68,2188]) ).
thf(3000,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ mod1 )
| ( greater @ A @ mod1 )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2999:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(3624,plain,
( ~ ( greater_or_equal @ very_low @ mod1 )
| ( greater @ very_low @ mod1 ) ),
inference(simp,[status(thm)],[3000]) ).
thf(9751,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != sigma )
| ( B
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[129,9479]) ).
thf(9752,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ ( age @ sk1 @ sk5 ) )
| ( smaller @ A @ ( age @ sk1 @ sk5 ) )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9751:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(9782,plain,
( ~ ( smaller_or_equal @ sigma @ ( age @ sk1 @ sk5 ) )
| ( smaller @ sigma @ ( age @ sk1 @ sk5 ) ) ),
inference(simp,[status(thm)],[9752]) ).
thf(26985,plain,
! [B: $i,A: $i] :
( ( greater @ sk4 @ sk3 )
| ( greater @ B @ A )
| ( ( smaller @ sk4 @ sk3 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[26975,133]) ).
thf(26986,plain,
( ( greater @ sk4 @ sk3 )
| ( greater @ sk3 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[26985:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(27712,plain,
! [B: $i,A: $i] :
( ( greater @ sk3 @ sk4 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sk4 @ sk3 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[26986,65]) ).
thf(27713,plain,
( ( greater @ sk3 @ sk4 )
| ( greater_or_equal @ sk4 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[27712:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 ))]]) ).
thf(537,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ mod1 @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[31,479]) ).
thf(541,plain,
( ( ( age @ sk1 @ sk4 )
!= mod1 )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[537]) ).
thf(101729,plain,
( ( very_low != tau )
| ( ( greater @ low @ mod2 )
!= ( greater @ low @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[100767,483]) ).
thf(101840,plain,
( ( very_low != tau )
| ( low != low )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[101729]) ).
thf(101884,plain,
( ( very_low != tau )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[101840]) ).
thf(6429,plain,
( ( greater @ sk5 @ sk2 )
| ( ( greater_or_equal @ sk5 @ sk2 )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,3580]) ).
thf(6452,plain,
( ( greater @ sk5 @ sk2 )
| ( sk5 != tau )
| ( sk2 != zero ) ),
inference(simp,[status(thm)],[6429]) ).
thf(34452,plain,
! [B: $i,A: $i] :
( ( sk5 != tau )
| ( sk2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6452,71]) ).
thf(34453,plain,
( ( sk5 != tau )
| ( sk2 != zero )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[34452:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(94819,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93817,71]) ).
thf(94820,plain,
( ( mod2 != sigma )
| ~ ( greater @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[94819:[bind(A,$thf( tau )),bind(B,$thf( mod1 ))]]) ).
thf(2172,plain,
( ( greater @ low @ very_low )
!= ( greater @ very_low @ low ) ),
inference(paramod_ordered,[status(thm)],[54,503]) ).
thf(2179,plain,
( ( low != very_low )
| ( low != very_low ) ),
inference(simp,[status(thm)],[2172]) ).
thf(2189,plain,
low != very_low,
inference(simp,[status(thm)],[2179]) ).
thf(1992,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ mod2 @ high ) ),
inference(paramod_ordered,[status(thm)],[31,487]) ).
thf(1996,plain,
( ( ( age @ sk1 @ sk4 )
!= mod2 )
| ( high != sigma ) ),
inference(simp,[status(thm)],[1992]) ).
thf(665,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( low != tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,157]) ).
thf(666,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( low != tau ) ),
inference(pattern_uni,[status(thm)],[665:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(106723,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( low != tau ) ),
inference(rewrite,[status(thm)],[666,5731,30]) ).
thf(106724,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( low != tau ) ),
inference(simp,[status(thm)],[106723]) ).
thf(1852,plain,
( ( greater @ high @ mod1 )
!= ( greater @ zero @ sigma ) ),
inference(paramod_ordered,[status(thm)],[139,519]) ).
thf(1857,plain,
( ( high != zero )
| ( mod1 != sigma ) ),
inference(simp,[status(thm)],[1852]) ).
thf(9510,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3486]) ).
thf(9541,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != tau )
| ( sk4 != sigma ) ),
inference(simp,[status(thm)],[9510]) ).
thf(51029,plain,
! [B: $i,A: $i] :
( ( sk2 != tau )
| ( sk4 != sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9541,71]) ).
thf(51030,plain,
( ( sk2 != tau )
| ( sk4 != sigma )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[51029:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(128650,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sigma @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125860,65]) ).
thf(128651,plain,
( ( mod2 != zero )
| ( greater_or_equal @ sigma @ low ) ),
inference(pattern_uni,[status(thm)],[128650:[bind(A,$thf( sigma )),bind(B,$thf( low ))]]) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( is_aligned @ A @ B )
| ( is_aligned @ A @ C ) ),
inference(cnf,[status(esa)],[100]) ).
thf(6640,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ low @ very_low ) ) ),
inference(paramod_ordered,[status(thm)],[277,3581]) ).
thf(6641,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != low )
| ( sk5 != very_low ) ),
inference(simp,[status(thm)],[6640]) ).
thf(39484,plain,
! [B: $i,A: $i] :
( ( sk2 != low )
| ( sk5 != very_low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6641,71]) ).
thf(39485,plain,
( ( sk2 != low )
| ( sk5 != very_low )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[39484:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(16064,plain,
( ( greater @ mod1 @ very_low )
| ( ( greater_or_equal @ mod1 @ very_low )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3623]) ).
thf(16080,plain,
( ( greater @ mod1 @ very_low )
| ( mod1 != sigma )
| ( very_low != zero ) ),
inference(simp,[status(thm)],[16064]) ).
thf(93921,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93751,71]) ).
thf(93922,plain,
( ( mod2 != zero )
| ~ ( greater @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[93921:[bind(A,$thf( tau )),bind(B,$thf( mod1 ))]]) ).
thf(20418,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ tau )
!= ( greater @ high @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[140,20373]) ).
thf(20451,plain,
( ( ( age @ sk1 @ sk4 )
!= high )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[20418]) ).
thf(130274,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ high @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[126149,71]) ).
thf(130275,plain,
( ( low != tau )
| ~ ( greater @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[130274:[bind(A,$thf( high )),bind(B,$thf( zero ))]]) ).
thf(9406,plain,
( ( greater @ mod1 @ mod2 )
!= ( greater @ tau @ sigma ) ),
inference(paramod_ordered,[status(thm)],[9395,479]) ).
thf(9468,plain,
( ( mod1 != tau )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[9406]) ).
thf(1991,plain,
( ( greater @ high @ mod2 )
!= ( greater @ mod2 @ high ) ),
inference(paramod_ordered,[status(thm)],[140,487]) ).
thf(1998,plain,
( ( high != mod2 )
| ( high != mod2 ) ),
inference(simp,[status(thm)],[1991]) ).
thf(2005,plain,
high != mod2,
inference(simp,[status(thm)],[1998]) ).
thf(8284,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != mod2 )
| ( A != high ) ),
inference(paramod_ordered,[status(thm)],[129,2005]) ).
thf(8285,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ high @ A )
| ( smaller @ high @ A )
| ( A != mod2 ) ),
inference(pattern_uni,[status(thm)],[8284:[bind(A,$thf( high ))]]) ).
thf(8839,plain,
( ~ ( smaller_or_equal @ high @ mod2 )
| ( smaller @ high @ mod2 ) ),
inference(simp,[status(thm)],[8285]) ).
thf(3137,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != mod2 )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[68,2005]) ).
thf(3138,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ high )
| ( greater @ A @ high )
| ( A != mod2 ) ),
inference(pattern_uni,[status(thm)],[3137:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(3389,plain,
( ~ ( greater_or_equal @ mod2 @ high )
| ( greater @ mod2 @ high ) ),
inference(simp,[status(thm)],[3138]) ).
thf(6069,plain,
( ~ ( greater_or_equal @ mod2 @ high )
| $false ),
inference(rewrite,[status(thm)],[3389,487]) ).
thf(6070,plain,
~ ( greater_or_equal @ mod2 @ high ),
inference(simp,[status(thm)],[6069]) ).
thf(125903,plain,
( ( greater @ high @ low )
!= ( greater @ sigma @ ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[125589,511]) ).
thf(126093,plain,
( ( high != sigma )
| ( ( age @ sk1 @ sk4 )
!= low ) ),
inference(simp,[status(thm)],[125903]) ).
thf(40045,plain,
! [B: $i,A: $i] :
( ( sk2 != high )
| ( sk5 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6642,71]) ).
thf(40046,plain,
( ( sk2 != high )
| ( sk5 != mod1 )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[40045:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(7087,plain,
( ( greater @ mod2 @ very_low )
| ( ( greater_or_equal @ mod2 @ very_low )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3571]) ).
thf(7106,plain,
( ( greater @ mod2 @ very_low )
| ( mod2 != sigma )
| ( very_low != zero ) ),
inference(simp,[status(thm)],[7087]) ).
thf(7132,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ low @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4721,126]) ).
thf(7133,plain,
smaller_or_equal @ low @ mod2,
inference(pattern_uni,[status(thm)],[7132:[bind(A,$thf( low )),bind(B,$thf( mod2 ))]]) ).
thf(61408,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30948,58478]) ).
thf(61409,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[61408:[]]) ).
thf(9524,plain,
( ( greater @ mod2 @ very_low )
| ( ( greater_or_equal @ mod2 @ very_low )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3571]) ).
thf(9545,plain,
( ( greater @ mod2 @ very_low )
| ( mod2 != tau )
| ( very_low != sigma ) ),
inference(simp,[status(thm)],[9524]) ).
thf(52986,plain,
! [B: $i,A: $i] :
( ( greater @ ( age @ sk1 @ sk5 ) @ sigma )
| ( greater @ B @ A )
| ( ( smaller @ ( age @ sk1 @ sk5 ) @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9774,133]) ).
thf(52987,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ sigma )
| ( greater @ sigma @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[52986:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( sigma ))]]) ).
thf(13997,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,4471]) ).
thf(14020,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != tau )
| ( sk5 != zero ) ),
inference(simp,[status(thm)],[13997]) ).
thf(31260,plain,
( ( sk5 != low )
| ( sk2 != very_low )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[6445,507]) ).
thf(31355,plain,
( ( sk5 != low )
| ( sk2 != very_low )
| ( sk5 != low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[31260]) ).
thf(31392,plain,
( ( sk5 != low )
| ( sk2 != very_low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[31355]) ).
thf(18224,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ sk2 @ sk5 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[9387]) ).
thf(18229,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ sk2 @ sk5 ) ) ),
inference(simp,[status(thm)],[18224]) ).
thf(114700,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[101151,65]) ).
thf(114701,plain,
( ( mod2 != zero )
| ( greater_or_equal @ ( age @ sk1 @ sk5 ) @ mod1 ) ),
inference(pattern_uni,[status(thm)],[114700:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( mod1 ))]]) ).
thf(78101,plain,
( ( mod1 != sigma )
| ( very_low != zero )
| ( ( greater @ mod1 @ very_low )
!= ( greater @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[16080,9439]) ).
thf(78162,plain,
( ( mod1 != sigma )
| ( very_low != zero )
| ( mod1 != sigma )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[78101]) ).
thf(78210,plain,
( ( mod1 != sigma )
| ( very_low != zero )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[78162]) ).
thf(2917,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != low ) ),
inference(paramod_ordered,[status(thm)],[68,2189]) ).
thf(2918,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ low )
| ( greater @ A @ low )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2917:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(3601,plain,
( ~ ( greater_or_equal @ very_low @ low )
| ( greater @ very_low @ low ) ),
inference(simp,[status(thm)],[2918]) ).
thf(15569,plain,
( ~ ( greater_or_equal @ very_low @ low )
| $false ),
inference(rewrite,[status(thm)],[3601,503]) ).
thf(15570,plain,
~ ( greater_or_equal @ very_low @ low ),
inference(simp,[status(thm)],[15569]) ).
thf(146,plain,
( ( sk1 != sk1 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[142]) ).
thf(148,plain,
( ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[146]) ).
thf(40647,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[22189,39637]) ).
thf(40648,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[40647:[]]) ).
thf(7578,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != sk4 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[129,4454]) ).
thf(7579,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ sk5 @ A )
| ( smaller @ sk5 @ A )
| ( A != sk4 ) ),
inference(pattern_uni,[status(thm)],[7578:[bind(A,$thf( sk5 ))]]) ).
thf(9021,plain,
( ~ ( smaller_or_equal @ sk5 @ sk4 )
| ( smaller @ sk5 @ sk4 ) ),
inference(simp,[status(thm)],[7579]) ).
thf(94770,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ tau @ mod1 )
| ( B != sigma )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93817]) ).
thf(94771,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( greater @ tau @ mod1 )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[94770:[bind(A,$thf( mod2 ))]]) ).
thf(94957,plain,
( ( smaller @ mod2 @ sigma )
| ( greater @ mod2 @ sigma )
| ( greater @ tau @ mod1 ) ),
inference(simp,[status(thm)],[94771]) ).
thf(102568,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ mod2 @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100793,65]) ).
thf(102569,plain,
( ( low != tau )
| ( greater_or_equal @ mod2 @ zero ) ),
inference(pattern_uni,[status(thm)],[102568:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(631,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ zero @ tau ) ),
inference(paramod_ordered,[status(thm)],[27,491]) ).
thf(646,plain,
( ( ( age @ sk1 @ sk5 )
!= zero )
| ( tau != tau ) ),
inference(simp,[status(thm)],[631]) ).
thf(649,plain,
( ( age @ sk1 @ sk5 )
!= zero ),
inference(simp,[status(thm)],[646]) ).
thf(3081,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[68,649]) ).
thf(3082,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( age @ sk1 @ sk5 ) )
| ( greater @ A @ ( age @ sk1 @ sk5 ) )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[3081:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(3376,plain,
( ~ ( greater_or_equal @ zero @ ( age @ sk1 @ sk5 ) )
| ( greater @ zero @ ( age @ sk1 @ sk5 ) ) ),
inference(simp,[status(thm)],[3082]) ).
thf(101156,plain,
( ~ ( greater_or_equal @ zero @ ( age @ sk1 @ sk5 ) )
| $false ),
inference(rewrite,[status(thm)],[3376,100973]) ).
thf(101157,plain,
~ ( greater_or_equal @ zero @ ( age @ sk1 @ sk5 ) ),
inference(simp,[status(thm)],[101156]) ).
thf(102896,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ mod2 @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100794,71]) ).
thf(102897,plain,
( ( mod1 != tau )
| ~ ( greater @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[102896:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(114751,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[101151,71]) ).
thf(114752,plain,
( ( mod2 != zero )
| ~ ( greater @ mod1 @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[114751:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( mod1 ))]]) ).
thf(278,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[31,65]) ).
thf(279,plain,
greater_or_equal @ ( age @ sk1 @ sk4 ) @ sigma,
inference(pattern_uni,[status(thm)],[278:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( sigma ))]]) ).
thf(21567,plain,
! [B: $i,A: $i] :
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6189,71]) ).
thf(21568,plain,
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[21567:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(4461,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sk4 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[137,4454]) ).
thf(4462,plain,
! [A: $i] :
( ( smaller @ sk5 @ A )
| ( greater @ sk5 @ A )
| ( A != sk4 ) ),
inference(pattern_uni,[status(thm)],[4461:[bind(A,$thf( sk5 ))]]) ).
thf(4472,plain,
( ( smaller @ sk5 @ sk4 )
| ( greater @ sk5 @ sk4 ) ),
inference(simp,[status(thm)],[4462]) ).
thf(7164,plain,
! [B: $i,A: $i] :
( ( greater @ sk5 @ sk4 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk5 @ sk4 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4472,126]) ).
thf(7165,plain,
( ( greater @ sk5 @ sk4 )
| ( smaller_or_equal @ sk5 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[7164:[bind(A,$thf( sk5 )),bind(B,$thf( sk4 ))]]) ).
thf(8332,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != zero )
| ( A != tau ) ),
inference(paramod_ordered,[status(thm)],[129,648]) ).
thf(8333,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ tau @ A )
| ( smaller @ tau @ A )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[8332:[bind(A,$thf( tau ))]]) ).
thf(8859,plain,
( ~ ( smaller_or_equal @ tau @ zero )
| ( smaller @ tau @ zero ) ),
inference(simp,[status(thm)],[8333]) ).
thf(76,plain,
! [A: $i] :
( ( positional_advantage @ A @ ( sk6 @ A ) )
| ( greater @ ( age @ A @ ( sk7 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(cnf,[status(esa)],[73]) ).
thf(82,plain,
! [A: $i] :
( ( positional_advantage @ A @ ( sk6 @ A ) )
| ( greater @ ( age @ A @ ( sk7 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(simp,[status(thm)],[76]) ).
thf(657,plain,
! [C: $i,B: $i,A: $i] :
( ( greater @ ( age @ A @ ( sk7 @ A ) ) @ tau )
| ( robust_position @ A )
| ( ( hazard_of_mortality @ B @ C )
= low )
| ~ ( organization @ B )
| ( has_immunity @ B @ C )
| ~ ( is_aligned @ B @ C )
| ( ( positional_advantage @ A @ ( sk6 @ A ) )
!= ( positional_advantage @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[82,50]) ).
thf(658,plain,
! [A: $i] :
( ( greater @ ( age @ A @ ( sk7 @ A ) ) @ tau )
| ( robust_position @ A )
| ( ( hazard_of_mortality @ A @ ( sk6 @ A ) )
= low )
| ~ ( organization @ A )
| ( has_immunity @ A @ ( sk6 @ A ) )
| ~ ( is_aligned @ A @ ( sk6 @ A ) ) ),
inference(pattern_uni,[status(thm)],[657:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk6 @ D ))]]) ).
thf(733,plain,
! [A: $i] :
( ( greater @ ( age @ A @ ( sk7 @ A ) ) @ tau )
| ( robust_position @ A )
| ( ( hazard_of_mortality @ A @ ( sk6 @ A ) )
= low )
| ~ ( organization @ A )
| ( has_immunity @ A @ ( sk6 @ A ) )
| ~ ( is_aligned @ A @ ( sk6 @ A ) ) ),
inference(simp,[status(thm)],[658]) ).
thf(864,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != low )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[137,760]) ).
thf(865,plain,
! [A: $i] :
( ( smaller @ A @ high )
| ( greater @ A @ high )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[864:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(1786,plain,
( ( smaller @ low @ high )
| ( greater @ low @ high ) ),
inference(simp,[status(thm)],[865]) ).
thf(7134,plain,
! [B: $i,A: $i] :
( ( greater @ low @ high )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ low @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1786,126]) ).
thf(7135,plain,
( ( greater @ low @ high )
| ( smaller_or_equal @ low @ high ) ),
inference(pattern_uni,[status(thm)],[7134:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(126191,plain,
( $false
| ( smaller_or_equal @ low @ high ) ),
inference(rewrite,[status(thm)],[7135,125986]) ).
thf(126192,plain,
smaller_or_equal @ low @ high,
inference(simp,[status(thm)],[126191]) ).
thf(26967,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != sk3 )
| ( A != sk4 ) ),
inference(paramod_ordered,[status(thm)],[129,26942]) ).
thf(26968,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ sk4 @ A )
| ( smaller @ sk4 @ A )
| ( A != sk3 ) ),
inference(pattern_uni,[status(thm)],[26967:[bind(A,$thf( sk4 ))]]) ).
thf(26977,plain,
( ~ ( smaller_or_equal @ sk4 @ sk3 )
| ( smaller @ sk4 @ sk3 ) ),
inference(simp,[status(thm)],[26968]) ).
thf(842,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater_or_equal @ A @ very_low )
| ( B != low ) ),
inference(paramod_ordered,[status(thm)],[137,277]) ).
thf(843,plain,
! [A: $i] :
( ( smaller @ A @ low )
| ( greater @ A @ low )
| ( greater_or_equal @ A @ very_low ) ),
inference(pattern_uni,[status(thm)],[842:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(23579,plain,
! [B: $i,A: $i] :
( ( sk4 != high )
| ( sk2 != mod2 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6195,71]) ).
thf(23580,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ~ ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[23579:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(3153,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B != tau ) ),
inference(paramod_ordered,[status(thm)],[68,648]) ).
thf(3154,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ tau )
| ( greater @ A @ tau )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[3153:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(3397,plain,
( ~ ( greater_or_equal @ zero @ tau )
| ( greater @ zero @ tau ) ),
inference(simp,[status(thm)],[3154]) ).
thf(6018,plain,
( ~ ( greater_or_equal @ zero @ tau )
| $false ),
inference(rewrite,[status(thm)],[3397,491]) ).
thf(6019,plain,
~ ( greater_or_equal @ zero @ tau ),
inference(simp,[status(thm)],[6018]) ).
thf(16059,plain,
( ( greater @ mod1 @ very_low )
| ( ( greater_or_equal @ mod1 @ very_low )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,3623]) ).
thf(16075,plain,
( ( greater @ mod1 @ very_low )
| ( mod1 != tau )
| ( very_low != zero ) ),
inference(simp,[status(thm)],[16059]) ).
thf(125610,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ A @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[100571,2102]) ).
thf(125740,plain,
! [A: $i] :
( ( greater @ A @ low )
| ( ( age @ sk1 @ sk5 )
!= A )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[125610]) ).
thf(125810,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ low )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[125740]) ).
thf(6296,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3486]) ).
thf(6333,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != sigma )
| ( sk4 != zero ) ),
inference(simp,[status(thm)],[6296]) ).
thf(28780,plain,
! [B: $i,A: $i] :
( ( sk2 != sigma )
| ( sk4 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6333,71]) ).
thf(28781,plain,
( ( sk2 != sigma )
| ( sk4 != zero )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[28780:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(129387,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller @ A @ B )
| ( ( greater @ tau @ low )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[125864,134]) ).
thf(129388,plain,
( ( mod2 != zero )
| ( smaller @ low @ tau ) ),
inference(pattern_uni,[status(thm)],[129387:[bind(A,$thf( low )),bind(B,$thf( tau ))]]) ).
thf(131349,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ low @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[129388,126]) ).
thf(131350,plain,
( ( mod2 != zero )
| ( smaller_or_equal @ low @ tau ) ),
inference(pattern_uni,[status(thm)],[131349:[bind(A,$thf( low )),bind(B,$thf( tau ))]]) ).
thf(95829,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( smaller @ mod1 @ sigma )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94561]) ).
thf(95830,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != zero )
| ( smaller @ mod1 @ sigma ) ),
inference(pattern_uni,[status(thm)],[95829:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(95948,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( smaller @ mod1 @ sigma ) ),
inference(simp,[status(thm)],[95830]) ).
thf(35058,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ mod1 @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6453,479]) ).
thf(35159,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( sk5 != mod1 )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[35058]) ).
thf(35205,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[35159]) ).
thf(14002,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,4471]) ).
thf(14021,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != sigma )
| ( sk5 != zero ) ),
inference(simp,[status(thm)],[14002]) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( age @ A @ B )
!= zero )
| ~ ( greater @ ( age @ A @ C ) @ sigma )
| ( dissimilar @ A @ B @ C ) ),
inference(cnf,[status(esa)],[115]) ).
thf(118,plain,
! [C: $i,B: $i,A: $i] :
( ( ( age @ A @ B )
!= zero )
| ~ ( organization @ A )
| ~ ( greater @ ( age @ A @ C ) @ sigma )
| ( dissimilar @ A @ B @ C ) ),
inference(lifteq,[status(thm)],[116]) ).
thf(38186,plain,
! [B: $i,A: $i] :
( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( greater @ B @ A )
| ( ( smaller @ ( age @ sk1 @ sk4 ) @ zero )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[3673,133]) ).
thf(38187,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( greater @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[38186:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( zero ))]]) ).
thf(443,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[48,149]) ).
thf(444,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk4 )
| ( is_aligned @ sk1 @ sk4 )
| ( positional_advantage @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high ) ),
inference(pattern_uni,[status(thm)],[443:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(70741,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk4 )
| $false
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high ) ),
inference(rewrite,[status(thm)],[444,5731,4388,30]) ).
thf(70742,plain,
( ( is_aligned @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ high ) ),
inference(simp,[status(thm)],[70741]) ).
thf(30678,plain,
( ( sk5 != mod2 )
| ( sk2 != low )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ mod2 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[6443,487]) ).
thf(30722,plain,
( ( sk5 != mod2 )
| ( sk2 != low )
| ( sk5 != mod2 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[30678]) ).
thf(30728,plain,
( ( sk5 != mod2 )
| ( sk2 != low )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[30722]) ).
thf(627,plain,
( ( greater @ high @ mod2 )
!= ( greater @ zero @ tau ) ),
inference(paramod_ordered,[status(thm)],[140,491]) ).
thf(641,plain,
( ( high != zero )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[627]) ).
thf(94776,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ tau @ mod1 )
| ( A != sigma )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93817]) ).
thf(94777,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( greater @ tau @ mod1 )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[94776:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(94958,plain,
( ( smaller @ sigma @ mod2 )
| ( greater @ sigma @ mod2 )
| ( greater @ tau @ mod1 ) ),
inference(simp,[status(thm)],[94777]) ).
thf(1168,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != very_low )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,761]) ).
thf(1169,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[1168:[bind(A,$thf( mod2 ))]]) ).
thf(1635,plain,
( ( smaller @ mod2 @ very_low )
| ( greater @ mod2 @ very_low ) ),
inference(simp,[status(thm)],[1169]) ).
thf(9739,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sigma )
| ( B
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[137,9479]) ).
thf(9740,plain,
! [A: $i] :
( ( smaller @ A @ ( age @ sk1 @ sk5 ) )
| ( greater @ A @ ( age @ sk1 @ sk5 ) )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9739:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(9778,plain,
( ( smaller @ sigma @ ( age @ sk1 @ sk5 ) )
| ( greater @ sigma @ ( age @ sk1 @ sk5 ) ) ),
inference(simp,[status(thm)],[9740]) ).
thf(53185,plain,
! [B: $i,A: $i] :
( ( greater @ sigma @ ( age @ sk1 @ sk5 ) )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sigma @ ( age @ sk1 @ sk5 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9778,126]) ).
thf(53186,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk5 ) )
| ( smaller_or_equal @ sigma @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[53185:[bind(A,$thf( sigma )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(39730,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[29819,39327]) ).
thf(39731,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[39730:[]]) ).
thf(1972,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B != sigma ) ),
inference(paramod_ordered,[status(thm)],[137,1865]) ).
thf(1973,plain,
! [A: $i] :
( ( smaller @ A @ sigma )
| ( greater @ A @ sigma )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[1972:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(1975,plain,
( ( smaller @ zero @ sigma )
| ( greater @ zero @ sigma ) ),
inference(simp,[status(thm)],[1973]) ).
thf(5253,plain,
( ( smaller @ zero @ sigma )
| $false ),
inference(rewrite,[status(thm)],[1975,519]) ).
thf(5254,plain,
smaller @ zero @ sigma,
inference(simp,[status(thm)],[5253]) ).
thf(7144,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5254,126]) ).
thf(7145,plain,
smaller_or_equal @ zero @ sigma,
inference(pattern_uni,[status(thm)],[7144:[bind(A,$thf( zero )),bind(B,$thf( sigma ))]]) ).
thf(55658,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( smaller @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[55554,134]) ).
thf(55659,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[55658:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(59240,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55659,126]) ).
thf(59241,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[59240:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(95823,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( smaller @ mod1 @ sigma )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94561]) ).
thf(95824,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != zero )
| ( smaller @ mod1 @ sigma ) ),
inference(pattern_uni,[status(thm)],[95823:[bind(A,$thf( mod2 ))]]) ).
thf(95945,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( smaller @ mod1 @ sigma ) ),
inference(simp,[status(thm)],[95824]) ).
thf(358,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( mod2 != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[46,158]) ).
thf(359,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( mod2 != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[358:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(41803,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( mod2 != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(rewrite,[status(thm)],[359,5731,30]) ).
thf(41804,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( mod2 != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[41803]) ).
thf(52388,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( very_low != sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ mod2 @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9545,71]) ).
thf(52389,plain,
( ( mod2 != tau )
| ( very_low != sigma )
| ~ ( greater @ very_low @ mod2 ) ),
inference(pattern_uni,[status(thm)],[52388:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(24870,plain,
( ( sk4 != sigma )
| ( sk2 != zero )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[6198,9439]) ).
thf(24894,plain,
( ( sk4 != sigma )
| ( sk2 != zero )
| ( sk4 != sigma )
| ( sk2 != tau ) ),
inference(simp,[status(thm)],[24870]) ).
thf(24929,plain,
( ( sk4 != sigma )
| ( sk2 != zero )
| ( sk2 != tau ) ),
inference(simp,[status(thm)],[24894]) ).
thf(9370,plain,
! [B: $i,A: $i] :
( ( greater @ sk4 @ sk2 )
| ( greater @ B @ A )
| ( ( smaller @ sk4 @ sk2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1968,133]) ).
thf(9371,plain,
( ( greater @ sk4 @ sk2 )
| ( greater @ sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[9370:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(17232,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ sk2 @ sk4 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[9371]) ).
thf(17236,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ sk2 @ sk4 ) ) ),
inference(simp,[status(thm)],[17232]) ).
thf(63076,plain,
! [B: $i,A: $i] :
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ tau @ ( age @ sk1 @ sk3 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21466,126]) ).
thf(63077,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[63076:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(16763,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ mod1 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ mod1 @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9363,65]) ).
thf(16764,plain,
( ( greater @ very_low @ mod1 )
| ( greater_or_equal @ mod1 @ very_low ) ),
inference(pattern_uni,[status(thm)],[16763:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(6298,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ mod1 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[265,3486]) ).
thf(6334,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != mod1 )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[6298]) ).
thf(135400,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125810,65]) ).
thf(135401,plain,
( ( mod2 != zero )
| ( greater_or_equal @ ( age @ sk1 @ sk5 ) @ low ) ),
inference(pattern_uni,[status(thm)],[135400:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( low ))]]) ).
thf(108714,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ mod1 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[104560,126]) ).
thf(108715,plain,
( ( low != tau )
| ( smaller_or_equal @ zero @ mod1 ) ),
inference(pattern_uni,[status(thm)],[108714:[bind(A,$thf( zero )),bind(B,$thf( mod1 ))]]) ).
thf(22087,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[6192,503]) ).
thf(22136,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ( sk4 != very_low )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[22087]) ).
thf(22160,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ( sk4 != very_low ) ),
inference(simp,[status(thm)],[22136]) ).
thf(16164,plain,
( ( greater @ very_low @ mod1 )
| ( ( greater_or_equal @ very_low @ mod1 )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3624]) ).
thf(16182,plain,
( ( greater @ very_low @ mod1 )
| ( very_low != sigma )
| ( mod1 != zero ) ),
inference(simp,[status(thm)],[16164]) ).
thf(346,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[46,149]) ).
thf(347,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk4 )
| ~ ( is_aligned @ sk1 @ sk4 )
| ( positional_advantage @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 ) ),
inference(pattern_uni,[status(thm)],[346:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(37641,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk4 )
| $false
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 ) ),
inference(rewrite,[status(thm)],[347,5731,4388,30]) ).
thf(37642,plain,
( ~ ( is_aligned @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 ) ),
inference(simp,[status(thm)],[37641]) ).
thf(40820,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk4 )
!= tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ ( age @ sk1 @ sk4 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[39673,126]) ).
thf(40821,plain,
( ( ( age @ sk1 @ sk4 )
!= tau )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[40820:[bind(A,$thf( zero )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(42187,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[7467,40821]) ).
thf(42188,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[42187:[]]) ).
thf(29581,plain,
! [B: $i,A: $i] :
( ( sk2 != high )
| ( sk4 != mod2 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6335,71]) ).
thf(29582,plain,
( ( sk2 != high )
| ( sk4 != mod2 )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[29581:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(7426,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != sigma )
| ( A
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[129,3942]) ).
thf(7427,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk4 ) @ A )
| ( smaller @ ( age @ sk1 @ sk4 ) @ A )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[7426:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( B ))]]) ).
thf(8926,plain,
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk4 ) @ sigma )
| ( smaller @ ( age @ sk1 @ sk4 ) @ sigma ) ),
inference(simp,[status(thm)],[7427]) ).
thf(104533,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ mod1 @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100861,65]) ).
thf(104534,plain,
( ( low != tau )
| ( greater_or_equal @ mod1 @ zero ) ),
inference(pattern_uni,[status(thm)],[104533:[bind(A,$thf( mod1 )),bind(B,$thf( zero ))]]) ).
thf(413,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,157]) ).
thf(414,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[413:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(62026,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(rewrite,[status(thm)],[414,5731,30]) ).
thf(62027,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ high @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[62026]) ).
thf(74,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk6 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk7 @ A ) )
| ( robust_position @ A ) ),
inference(cnf,[status(esa)],[73]) ).
thf(81,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk6 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk7 @ A ) )
| ( robust_position @ A ) ),
inference(simp,[status(thm)],[74]) ).
thf(93889,plain,
( ( mod2 != zero )
| ( ( greater @ tau @ ( age @ sk1 @ sk5 ) )
!= ( greater @ tau @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[93751,499]) ).
thf(93976,plain,
( ( mod2 != zero )
| ( tau != tau )
| ( ( age @ sk1 @ sk5 )
!= mod1 ) ),
inference(simp,[status(thm)],[93889]) ).
thf(94059,plain,
( ( mod2 != zero )
| ( ( age @ sk1 @ sk5 )
!= mod1 ) ),
inference(simp,[status(thm)],[93976]) ).
thf(729,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,36]) ).
thf(730,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[729:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(119515,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[730,49568,5731,30]) ).
thf(119516,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[119515]) ).
thf(90,plain,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk8 @ A ) ) @ eta )
| ( greater @ ( age @ A @ ( sk9 @ A ) ) @ eta )
| ( has_endowment @ A ) ),
inference(cnf,[status(esa)],[86]) ).
thf(98,plain,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk8 @ A ) ) @ eta )
| ( greater @ ( age @ A @ ( sk9 @ A ) ) @ eta )
| ( has_endowment @ A ) ),
inference(simp,[status(thm)],[90]) ).
thf(100935,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ mod1 @ high ) ),
inference(paramod_ordered,[status(thm)],[100571,515]) ).
thf(101058,plain,
( ( ( age @ sk1 @ sk5 )
!= mod1 )
| ( high != zero ) ),
inference(simp,[status(thm)],[100935]) ).
thf(463,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,36]) ).
thf(464,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[463:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(79785,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[464,49568,5731,30]) ).
thf(79786,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[79785]) ).
thf(96549,plain,
! [B: $i,A: $i] :
( ( greater @ tau @ mod1 )
| ( greater @ zero @ mod2 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ mod2 @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94378,65]) ).
thf(96550,plain,
( ( greater @ tau @ mod1 )
| ( greater @ zero @ mod2 )
| ( greater_or_equal @ mod2 @ zero ) ),
inference(pattern_uni,[status(thm)],[96549:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(93882,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93751,65]) ).
thf(93883,plain,
( ( mod2 != zero )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(pattern_uni,[status(thm)],[93882:[bind(A,$thf( tau )),bind(B,$thf( mod1 ))]]) ).
thf(94990,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( greater_or_equal @ tau @ mod1 )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93883]) ).
thf(94991,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != zero )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(pattern_uni,[status(thm)],[94990:[bind(A,$thf( mod2 ))]]) ).
thf(95086,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(simp,[status(thm)],[94991]) ).
thf(77376,plain,
! [B: $i,A: $i] :
( ( greater @ sigma @ ( age @ sk1 @ sk5 ) )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ sigma )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[52987,65]) ).
thf(77377,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk5 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk5 ) @ sigma ) ),
inference(pattern_uni,[status(thm)],[77376:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( sigma ))]]) ).
thf(336,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[46,157]) ).
thf(337,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[336:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(33395,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(rewrite,[status(thm)],[337,5731,30]) ).
thf(33396,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[33395]) ).
thf(534,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ mod1 @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[27,479]) ).
thf(552,plain,
( ( ( age @ sk1 @ sk5 )
!= mod1 )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[534]) ).
thf(13998,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ high @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[267,4471]) ).
thf(14016,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != high )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[13998]) ).
thf(28414,plain,
! [B: $i,A: $i] :
( ( sk2 != mod2 )
| ( sk4 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6332,71]) ).
thf(28415,plain,
( ( sk2 != mod2 )
| ( sk4 != mod1 )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[28414:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(97685,plain,
! [B: $i,A: $i] :
( ( greater @ zero @ mod2 )
| ( greater @ sigma @ mod1 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94714,126]) ).
thf(97686,plain,
( ( greater @ zero @ mod2 )
| ( greater @ sigma @ mod1 )
| ( smaller_or_equal @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[97685:[bind(A,$thf( zero )),bind(B,$thf( mod2 ))]]) ).
thf(2825,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[68,761]) ).
thf(2826,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2825:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(3572,plain,
( ~ ( greater_or_equal @ very_low @ mod2 )
| ( greater @ very_low @ mod2 ) ),
inference(simp,[status(thm)],[2826]) ).
thf(2202,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != low ) ),
inference(paramod_ordered,[status(thm)],[137,2189]) ).
thf(2203,plain,
! [A: $i] :
( ( smaller @ A @ low )
| ( greater @ A @ low )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[2202:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(2205,plain,
( ( smaller @ very_low @ low )
| ( greater @ very_low @ low ) ),
inference(simp,[status(thm)],[2203]) ).
thf(5837,plain,
( ( smaller @ very_low @ low )
| $false ),
inference(rewrite,[status(thm)],[2205,503]) ).
thf(5838,plain,
smaller @ very_low @ low,
inference(simp,[status(thm)],[5837]) ).
thf(7140,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ very_low @ low )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5838,126]) ).
thf(7141,plain,
smaller_or_equal @ very_low @ low,
inference(pattern_uni,[status(thm)],[7140:[bind(A,$thf( very_low )),bind(B,$thf( low ))]]) ).
thf(768,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ mod2 @ A )
| ( B != low ) ),
inference(paramod_ordered,[status(thm)],[137,53]) ).
thf(769,plain,
! [A: $i] :
( ( smaller @ A @ low )
| ( greater @ A @ low )
| ( greater @ mod2 @ A ) ),
inference(pattern_uni,[status(thm)],[768:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(103,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ B )
| ( is_aligned @ A @ C )
| ( dissimilar @ A @ B @ C ) ),
inference(cnf,[status(esa)],[100]) ).
thf(108,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ B )
| ( is_aligned @ A @ C )
| ( dissimilar @ A @ B @ C ) ),
inference(simp,[status(thm)],[103]) ).
thf(453,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,158]) ).
thf(454,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[453:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(74891,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(rewrite,[status(thm)],[454,5731,30]) ).
thf(74892,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[74891]) ).
thf(2171,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ very_low @ low ) ),
inference(paramod_ordered,[status(thm)],[27,503]) ).
thf(2182,plain,
( ( ( age @ sk1 @ sk5 )
!= very_low )
| ( low != tau ) ),
inference(simp,[status(thm)],[2171]) ).
thf(42307,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[29819,40821]) ).
thf(42308,plain,
( ( greater_or_equal @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[42307:[]]) ).
thf(126159,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != very_low )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[129,125893]) ).
thf(126160,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ high )
| ( smaller @ A @ high )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[126159:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(126165,plain,
( ~ ( smaller_or_equal @ very_low @ high )
| ( smaller @ very_low @ high ) ),
inference(simp,[status(thm)],[126160]) ).
thf(58501,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[24099,55561]) ).
thf(58502,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[58501:[]]) ).
thf(53038,plain,
! [B: $i,A: $i] :
( ( greater @ ( age @ sk1 @ sk5 ) @ sigma )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ ( age @ sk1 @ sk5 ) @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9774,126]) ).
thf(53039,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ sigma )
| ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ sigma ) ),
inference(pattern_uni,[status(thm)],[53038:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( sigma ))]]) ).
thf(31653,plain,
! [B: $i,A: $i] :
( ( sk5 != high )
| ( sk2 != mod1 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6446,71]) ).
thf(31654,plain,
( ( sk5 != high )
| ( sk2 != mod1 )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[31653:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(360,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( mod2 != tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[46,158]) ).
thf(361,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk4 )
| ~ ( is_aligned @ sk1 @ sk4 )
| ( positional_advantage @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( mod2 != tau ) ),
inference(pattern_uni,[status(thm)],[360:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(42644,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk4 )
| $false
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( mod2 != tau ) ),
inference(rewrite,[status(thm)],[361,5731,4388,30]) ).
thf(42645,plain,
( ~ ( is_aligned @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[42644]) ).
thf(20415,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ tau )
!= ( greater @ low @ very_low ) ),
inference(paramod_ordered,[status(thm)],[54,20373]) ).
thf(20458,plain,
( ( ( age @ sk1 @ sk4 )
!= low )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[20415]) ).
thf(97553,plain,
! [B: $i,A: $i] :
( ( greater @ mod2 @ zero )
| ( greater @ sigma @ mod1 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod2 @ zero )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94713,126]) ).
thf(97554,plain,
( ( greater @ mod2 @ zero )
| ( greater @ sigma @ mod1 )
| ( smaller_or_equal @ mod2 @ zero ) ),
inference(pattern_uni,[status(thm)],[97553:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(6631,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3581]) ).
thf(6645,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != sigma )
| ( sk5 != zero ) ),
inference(simp,[status(thm)],[6631]) ).
thf(21779,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ mod1 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[6190,515]) ).
thf(21843,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( sk4 != mod1 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[21779]) ).
thf(21869,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[21843]) ).
thf(49150,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( very_low != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ mod2 @ very_low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7106,71]) ).
thf(49151,plain,
( ( mod2 != sigma )
| ( very_low != zero )
| ~ ( greater @ very_low @ mod2 ) ),
inference(pattern_uni,[status(thm)],[49150:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(26965,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sk3 )
| ( B != sk4 ) ),
inference(paramod_ordered,[status(thm)],[137,26942]) ).
thf(26966,plain,
! [A: $i] :
( ( smaller @ A @ sk4 )
| ( greater @ A @ sk4 )
| ( A != sk3 ) ),
inference(pattern_uni,[status(thm)],[26965:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(26976,plain,
( ( smaller @ sk3 @ sk4 )
| ( greater @ sk3 @ sk4 ) ),
inference(simp,[status(thm)],[26966]) ).
thf(129629,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125866,65]) ).
thf(129630,plain,
( ( mod2 != sigma )
| ( greater_or_equal @ tau @ low ) ),
inference(pattern_uni,[status(thm)],[129629:[bind(A,$thf( tau )),bind(B,$thf( low ))]]) ).
thf(94497,plain,
( ( mod2 != zero )
| ( ( greater @ sigma @ ( age @ sk1 @ sk4 ) )
!= ( greater @ sigma @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[93807,511]) ).
thf(94690,plain,
( ( mod2 != zero )
| ( sigma != sigma )
| ( ( age @ sk1 @ sk4 )
!= mod1 ) ),
inference(simp,[status(thm)],[94497]) ).
thf(94733,plain,
( ( mod2 != zero )
| ( ( age @ sk1 @ sk4 )
!= mod1 ) ),
inference(simp,[status(thm)],[94690]) ).
thf(20374,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ tau )
!= ( greater @ mod2 @ mod1 ) ),
inference(paramod_ordered,[status(thm)],[138,20373]) ).
thf(20455,plain,
( ( ( age @ sk1 @ sk4 )
!= mod2 )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[20374]) ).
thf(128604,plain,
( ( mod2 != zero )
| ( ( greater @ sigma @ ( age @ sk1 @ sk4 ) )
!= ( greater @ sigma @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125860,511]) ).
thf(128804,plain,
( ( mod2 != zero )
| ( sigma != sigma )
| ( ( age @ sk1 @ sk4 )
!= low ) ),
inference(simp,[status(thm)],[128604]) ).
thf(128842,plain,
( ( mod2 != zero )
| ( ( age @ sk1 @ sk4 )
!= low ) ),
inference(simp,[status(thm)],[128804]) ).
thf(94779,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93817,65]) ).
thf(94780,plain,
( ( mod2 != sigma )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(pattern_uni,[status(thm)],[94779:[bind(A,$thf( tau )),bind(B,$thf( mod1 ))]]) ).
thf(58812,plain,
( ( sk5 != sigma )
| ( sk4 != zero )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[13822,9439]) ).
thf(58871,plain,
( ( sk5 != sigma )
| ( sk4 != zero )
| ( sk5 != sigma )
| ( sk4 != tau ) ),
inference(simp,[status(thm)],[58812]) ).
thf(58916,plain,
( ( sk5 != sigma )
| ( sk4 != zero )
| ( sk4 != tau ) ),
inference(simp,[status(thm)],[58871]) ).
thf(23901,plain,
( ( sk4 != high )
| ( sk2 != mod1 )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[6197,507]) ).
thf(23990,plain,
( ( sk4 != high )
| ( sk2 != mod1 )
| ( sk4 != low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[23901]) ).
thf(24003,plain,
( ( sk4 != high )
| ( sk2 != mod1 )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[23990]) ).
thf(6314,plain,
( ( greater @ sk2 @ sk4 )
| ( ( greater_or_equal @ sk2 @ sk4 )
!= ( greater_or_equal @ mod2 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[263,3486]) ).
thf(6330,plain,
( ( greater @ sk2 @ sk4 )
| ( sk2 != mod2 )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[6314]) ).
thf(26238,plain,
! [B: $i,A: $i] :
( ( sk2 != mod2 )
| ( sk4 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6330,71]) ).
thf(26239,plain,
( ( sk2 != mod2 )
| ( sk4 != low )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[26238:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(348,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[46,149]) ).
thf(349,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[348:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(38737,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[349,5731,30]) ).
thf(38738,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ mod2 @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[38737]) ).
thf(4436,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ( ( positional_advantage @ sk1 @ sk5 )
!= ( positional_advantage @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4425,77]) ).
thf(4437,plain,
( ~ ( robust_position @ sk1 )
| ~ ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[4436:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(20954,plain,
( ~ $true
| ~ ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ tau ) ),
inference(rewrite,[status(thm)],[4437,28]) ).
thf(20955,plain,
~ ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ tau ),
inference(simp,[status(thm)],[20954]) ).
thf(21018,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( ( smaller_or_equal @ A @ B )
!= ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[126,20955]) ).
thf(21019,plain,
~ ( smaller @ ( age @ sk1 @ sk5 ) @ tau ),
inference(pattern_uni,[status(thm)],[21018:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( tau ))]]) ).
thf(78,plain,
! [A: $i] :
( ( positional_advantage @ A @ ( sk6 @ A ) )
| ~ ( positional_advantage @ A @ ( sk7 @ A ) )
| ( robust_position @ A ) ),
inference(cnf,[status(esa)],[73]) ).
thf(80,plain,
! [A: $i] :
( ( positional_advantage @ A @ ( sk6 @ A ) )
| ~ ( positional_advantage @ A @ ( sk7 @ A ) )
| ( robust_position @ A ) ),
inference(simp,[status(thm)],[78]) ).
thf(100926,plain,
! [B: $i,A: $i] :
( ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100571,65]) ).
thf(100927,plain,
greater_or_equal @ ( age @ sk1 @ sk5 ) @ zero,
inference(pattern_uni,[status(thm)],[100926:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( zero ))]]) ).
thf(58370,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7569,55561]) ).
thf(58371,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[58370:[]]) ).
thf(25620,plain,
! [A: $i] :
( ( sk5 != sk3 )
| ( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ A ) ) ),
inference(paramod_ordered,[status(thm)],[24949,528]) ).
thf(25645,plain,
! [A: $i] :
( ( sk5 != sk3 )
| ( sigma != A )
| ( ( age @ sk1 @ sk3 )
!= A ) ),
inference(simp,[status(thm)],[25620]) ).
thf(25672,plain,
( ( sk5 != sk3 )
| ( ( age @ sk1 @ sk3 )
!= sigma ) ),
inference(simp,[status(thm)],[25645]) ).
thf(125910,plain,
( ( very_low != tau )
| ( ( greater @ high @ low )
!= ( greater @ zero @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125589,101719]) ).
thf(126119,plain,
( ( very_low != tau )
| ( high != zero )
| ( low != low ) ),
inference(simp,[status(thm)],[125910]) ).
thf(126148,plain,
( ( very_low != tau )
| ( high != zero ) ),
inference(simp,[status(thm)],[126119]) ).
thf(42311,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[22189,40821]) ).
thf(42312,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[42311:[]]) ).
thf(29129,plain,
! [B: $i,A: $i] :
( ( sk2 != mod1 )
| ( sk4 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6334,71]) ).
thf(29130,plain,
( ( sk2 != mod1 )
| ( sk4 != low )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[29129:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(28784,plain,
( ( sk2 != sigma )
| ( sk4 != zero )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[6333,9439]) ).
thf(28818,plain,
( ( sk2 != sigma )
| ( sk4 != zero )
| ( sk2 != sigma )
| ( sk4 != tau ) ),
inference(simp,[status(thm)],[28784]) ).
thf(28832,plain,
( ( sk2 != sigma )
| ( sk4 != zero )
| ( sk4 != tau ) ),
inference(simp,[status(thm)],[28818]) ).
thf(97867,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93804,71]) ).
thf(97868,plain,
( ( mod2 != sigma )
| ~ ( greater @ mod1 @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[97867:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( mod1 ))]]) ).
thf(717,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,158]) ).
thf(718,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[717:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(115061,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(rewrite,[status(thm)],[718,5731,30]) ).
thf(115062,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( low != sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[115061]) ).
thf(9499,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3581]) ).
thf(9546,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != tau )
| ( sk5 != sigma ) ),
inference(simp,[status(thm)],[9499]) ).
thf(43487,plain,
( ( sk2 != sigma )
| ( sk5 != zero )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[6645,9439]) ).
thf(43539,plain,
( ( sk2 != sigma )
| ( sk5 != zero )
| ( sk2 != sigma )
| ( sk5 != tau ) ),
inference(simp,[status(thm)],[43487]) ).
thf(43557,plain,
( ( sk2 != sigma )
| ( sk5 != zero )
| ( sk5 != tau ) ),
inference(simp,[status(thm)],[43539]) ).
thf(60286,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7569,58465]) ).
thf(60287,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[60286:[]]) ).
thf(532,plain,
( ( greater @ mod1 @ mod2 )
!= ( greater @ tau @ zero ) ),
inference(paramod_ordered,[status(thm)],[24,479]) ).
thf(548,plain,
( ( mod1 != tau )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[532]) ).
thf(7440,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != sk2 )
| ( B != sk4 ) ),
inference(paramod_ordered,[status(thm)],[129,1835]) ).
thf(7441,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ sk4 )
| ( smaller @ A @ sk4 )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[7440:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(8936,plain,
( ~ ( smaller_or_equal @ sk2 @ sk4 )
| ( smaller @ sk2 @ sk4 ) ),
inference(simp,[status(thm)],[7441]) ).
thf(9825,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ tau @ ( age @ sk1 @ sk5 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9708,126]) ).
thf(9826,plain,
smaller_or_equal @ tau @ ( age @ sk1 @ sk5 ),
inference(pattern_uni,[status(thm)],[9825:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(96877,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != zero )
| ( smaller_or_equal @ mod1 @ sigma )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,95872]) ).
thf(96878,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != zero )
| ( smaller_or_equal @ mod1 @ sigma ) ),
inference(pattern_uni,[status(thm)],[96877:[bind(A,$thf( mod2 ))]]) ).
thf(96987,plain,
( ( smaller @ mod2 @ zero )
| ( greater @ mod2 @ zero )
| ( smaller_or_equal @ mod1 @ sigma ) ),
inference(simp,[status(thm)],[96878]) ).
thf(747,plain,
( ( greater @ low @ mod2 )
!= ( greater @ sigma @ zero ) ),
inference(paramod_ordered,[status(thm)],[23,483]) ).
thf(749,plain,
( ( low != sigma )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[747]) ).
thf(9758,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != sigma )
| ( A
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[68,9479]) ).
thf(9759,plain,
! [A: $i] :
( ~ ( greater_or_equal @ ( age @ sk1 @ sk5 ) @ A )
| ( greater @ ( age @ sk1 @ sk5 ) @ A )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[9758:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( B ))]]) ).
thf(9783,plain,
( ~ ( greater_or_equal @ ( age @ sk1 @ sk5 ) @ sigma )
| ( greater @ ( age @ sk1 @ sk5 ) @ sigma ) ),
inference(simp,[status(thm)],[9759]) ).
thf(7136,plain,
! [B: $i,A: $i] :
( ( greater @ mod2 @ very_low )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod2 @ very_low )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1635,126]) ).
thf(7137,plain,
( ( greater @ mod2 @ very_low )
| ( smaller_or_equal @ mod2 @ very_low ) ),
inference(pattern_uni,[status(thm)],[7136:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(8100,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != zero )
| ( A
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[129,649]) ).
thf(8101,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ A )
| ( smaller @ ( age @ sk1 @ sk5 ) @ A )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[8100:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( B ))]]) ).
thf(9253,plain,
( ~ ( smaller_or_equal @ ( age @ sk1 @ sk5 ) @ zero )
| ( smaller @ ( age @ sk1 @ sk5 ) @ zero ) ),
inference(simp,[status(thm)],[8101]) ).
thf(30661,plain,
( ( sk5 != mod2 )
| ( sk2 != low )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[6443,503]) ).
thf(30724,plain,
( ( sk5 != mod2 )
| ( sk2 != low )
| ( sk5 != very_low )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[30661]) ).
thf(30729,plain,
( ( sk5 != mod2 )
| ( sk2 != low )
| ( sk5 != very_low ) ),
inference(simp,[status(thm)],[30724]) ).
thf(13986,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,4471]) ).
thf(14017,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != tau )
| ( sk5 != sigma ) ),
inference(simp,[status(thm)],[13986]) ).
thf(60364,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30948,58465]) ).
thf(60365,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[60364:[]]) ).
thf(60686,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ mod1 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[13824,515]) ).
thf(60769,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( sk5 != mod1 )
| ( sk4 != high ) ),
inference(simp,[status(thm)],[60686]) ).
thf(60818,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( sk4 != high ) ),
inference(simp,[status(thm)],[60769]) ).
thf(96758,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( smaller_or_equal @ mod1 @ tau )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,95604]) ).
thf(96759,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != zero )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[96758:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(96865,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( smaller_or_equal @ mod1 @ tau ) ),
inference(simp,[status(thm)],[96759]) ).
thf(40724,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[7467,39673]) ).
thf(40725,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ( smaller @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[40724:[]]) ).
thf(61304,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7569,58478]) ).
thf(61305,plain,
( ( smaller @ ( age @ sk1 @ sk3 ) @ sigma )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[61304:[]]) ).
thf(16148,plain,
( ( greater @ very_low @ mod1 )
| ( ( greater_or_equal @ very_low @ mod1 )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3624]) ).
thf(16185,plain,
( ( greater @ very_low @ mod1 )
| ( very_low != tau )
| ( mod1 != sigma ) ),
inference(simp,[status(thm)],[16148]) ).
thf(2012,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != mod2 )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[137,2005]) ).
thf(2013,plain,
! [A: $i] :
( ( smaller @ A @ high )
| ( greater @ A @ high )
| ( A != mod2 ) ),
inference(pattern_uni,[status(thm)],[2012:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(2015,plain,
( ( smaller @ mod2 @ high )
| ( greater @ mod2 @ high ) ),
inference(simp,[status(thm)],[2013]) ).
thf(5425,plain,
( ( smaller @ mod2 @ high )
| $false ),
inference(rewrite,[status(thm)],[2015,487]) ).
thf(5426,plain,
smaller @ mod2 @ high,
inference(simp,[status(thm)],[5425]) ).
thf(7158,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod2 @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5426,126]) ).
thf(7159,plain,
smaller_or_equal @ mod2 @ high,
inference(pattern_uni,[status(thm)],[7158:[bind(A,$thf( mod2 )),bind(B,$thf( high ))]]) ).
thf(9442,plain,
( ( greater @ low @ mod2 )
!= ( greater @ tau @ sigma ) ),
inference(paramod_ordered,[status(thm)],[9395,483]) ).
thf(9467,plain,
( ( low != tau )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[9442]) ).
thf(25609,plain,
! [B: $i,A: $i] :
( ( sk5 != sk3 )
| ~ ( greater @ B @ A )
| ( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24949,71]) ).
thf(25610,plain,
( ( sk5 != sk3 )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma ) ),
inference(pattern_uni,[status(thm)],[25609:[bind(A,$thf( sigma )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(6487,plain,
( ( greater @ low @ high )
| ( ( greater_or_equal @ low @ high )
!= ( greater_or_equal @ sigma @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[283,3480]) ).
thf(6504,plain,
( ( greater @ low @ high )
| ( low != sigma )
| ( high != zero ) ),
inference(simp,[status(thm)],[6487]) ).
thf(37543,plain,
! [B: $i,A: $i] :
( ( low != sigma )
| ( high != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ low @ high )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6504,71]) ).
thf(37544,plain,
( ( low != sigma )
| ( high != zero )
| ~ ( greater @ high @ low ) ),
inference(pattern_uni,[status(thm)],[37543:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(125895,plain,
( ( low != sigma )
| ( high != zero )
| ~ $true ),
inference(rewrite,[status(thm)],[37544,125589]) ).
thf(125896,plain,
( ( low != sigma )
| ( high != zero ) ),
inference(simp,[status(thm)],[125895]) ).
thf(101656,plain,
( ( very_low != tau )
| ( ( greater @ low @ mod1 )
!= ( greater @ low @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[100767,507]) ).
thf(101814,plain,
( ( very_low != tau )
| ( low != low )
| ( mod1 != zero ) ),
inference(simp,[status(thm)],[101656]) ).
thf(101877,plain,
( ( very_low != tau )
| ( mod1 != zero ) ),
inference(simp,[status(thm)],[101814]) ).
thf(129635,plain,
( ( mod2 != sigma )
| ( ( greater @ tau @ ( age @ sk1 @ sk5 ) )
!= ( greater @ tau @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125866,499]) ).
thf(129789,plain,
( ( mod2 != sigma )
| ( tau != tau )
| ( ( age @ sk1 @ sk5 )
!= low ) ),
inference(simp,[status(thm)],[129635]) ).
thf(129840,plain,
( ( mod2 != sigma )
| ( ( age @ sk1 @ sk5 )
!= low ) ),
inference(simp,[status(thm)],[129789]) ).
thf(94996,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( greater_or_equal @ tau @ mod1 )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,93883]) ).
thf(94997,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != zero )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(pattern_uni,[status(thm)],[94996:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(95089,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(simp,[status(thm)],[94997]) ).
thf(122571,plain,
! [B: $i,A: $i] :
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[120485,126]) ).
thf(122572,plain,
( ~ ( greater @ zero @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[122571:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( tau ))]]) ).
thf(334,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[46,157]) ).
thf(335,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk4 )
| ~ ( is_aligned @ sk1 @ sk4 )
| ( positional_advantage @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[334:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(32545,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk4 )
| $false
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(rewrite,[status(thm)],[335,5731,4388,30]) ).
thf(32546,plain,
( ~ ( is_aligned @ sk1 @ sk4 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk5 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= tau ) ),
inference(simp,[status(thm)],[32545]) ).
thf(7148,plain,
! [B: $i,A: $i] :
( ( greater @ sk4 @ sk5 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk4 @ sk5 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4469,126]) ).
thf(7149,plain,
( ( greater @ sk4 @ sk5 )
| ( smaller_or_equal @ sk4 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[7148:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(135429,plain,
( ( mod2 != zero )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ low )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[125810,503]) ).
thf(135594,plain,
( ( mod2 != zero )
| ( ( age @ sk1 @ sk5 )
!= very_low )
| ( low != low ) ),
inference(simp,[status(thm)],[135429]) ).
thf(135642,plain,
( ( mod2 != zero )
| ( ( age @ sk1 @ sk5 )
!= very_low ) ),
inference(simp,[status(thm)],[135594]) ).
thf(22099,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ mod2 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[6192,487]) ).
thf(22124,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ( sk4 != mod2 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[22099]) ).
thf(22157,plain,
( ( sk4 != mod2 )
| ( sk2 != low )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[22124]) ).
thf(63,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(cnf,[status(esa)],[61]) ).
thf(66,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(lifteq,[status(thm)],[63]) ).
thf(67,plain,
! [A: $i] : ( greater_or_equal @ A @ A ),
inference(simp,[status(thm)],[66]) ).
thf(107439,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[103535,126]) ).
thf(107440,plain,
( ( mod1 != tau )
| ( smaller_or_equal @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[107439:[bind(A,$thf( zero )),bind(B,$thf( high ))]]) ).
thf(635,plain,
( ( greater @ high @ mod1 )
!= ( greater @ zero @ tau ) ),
inference(paramod_ordered,[status(thm)],[139,491]) ).
thf(643,plain,
( ( high != zero )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[635]) ).
thf(96096,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sigma )
| ( smaller @ mod1 @ tau )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94805]) ).
thf(96097,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != sigma )
| ( smaller @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[96096:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(96213,plain,
( ( smaller @ sigma @ mod2 )
| ( greater @ sigma @ mod2 )
| ( smaller @ mod1 @ tau ) ),
inference(simp,[status(thm)],[96097]) ).
thf(32463,plain,
! [B: $i,A: $i] :
( ( sk5 != sigma )
| ( sk2 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6450,71]) ).
thf(32464,plain,
( ( sk5 != sigma )
| ( sk2 != zero )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[32463:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(3969,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != sigma )
| ( B
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[68,3942]) ).
thf(3970,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( age @ sk1 @ sk4 ) )
| ( greater @ A @ ( age @ sk1 @ sk4 ) )
| ( A != sigma ) ),
inference(pattern_uni,[status(thm)],[3969:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(3977,plain,
( ~ ( greater_or_equal @ sigma @ ( age @ sk1 @ sk4 ) )
| ( greater @ sigma @ ( age @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[3970]) ).
thf(44680,plain,
( ~ ( greater_or_equal @ sigma @ ( age @ sk1 @ sk4 ) )
| $false ),
inference(rewrite,[status(thm)],[3977,511]) ).
thf(44681,plain,
~ ( greater_or_equal @ sigma @ ( age @ sk1 @ sk4 ) ),
inference(simp,[status(thm)],[44680]) ).
thf(13996,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ high @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[281,4471]) ).
thf(14022,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != high )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[13996]) ).
thf(62657,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30891,60386]) ).
thf(62658,plain,
( ( greater_or_equal @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[62657:[]]) ).
thf(1192,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sk2 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[137,625]) ).
thf(1193,plain,
! [A: $i] :
( ( smaller @ sk5 @ A )
| ( greater @ sk5 @ A )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[1192:[bind(A,$thf( sk5 ))]]) ).
thf(1642,plain,
( ( smaller @ sk5 @ sk2 )
| ( greater @ sk5 @ sk2 ) ),
inference(simp,[status(thm)],[1193]) ).
thf(7162,plain,
! [B: $i,A: $i] :
( ( greater @ sk5 @ sk2 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk5 @ sk2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1642,126]) ).
thf(7163,plain,
( ( greater @ sk5 @ sk2 )
| ( smaller_or_equal @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[7162:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(61448,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[24099,58478]) ).
thf(61449,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ~ ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[61448:[]]) ).
thf(2370,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( B
!= ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[137,649]) ).
thf(2371,plain,
! [A: $i] :
( ( smaller @ A @ ( age @ sk1 @ sk5 ) )
| ( greater @ A @ ( age @ sk1 @ sk5 ) )
| ( A != zero ) ),
inference(pattern_uni,[status(thm)],[2370:[bind(A,$thf( A )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(2379,plain,
( ( smaller @ zero @ ( age @ sk1 @ sk5 ) )
| ( greater @ zero @ ( age @ sk1 @ sk5 ) ) ),
inference(simp,[status(thm)],[2371]) ).
thf(36040,plain,
! [B: $i,A: $i] :
( ( greater @ zero @ ( age @ sk1 @ sk5 ) )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ ( age @ sk1 @ sk5 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2379,126]) ).
thf(36041,plain,
( ( greater @ zero @ ( age @ sk1 @ sk5 ) )
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[36040:[bind(A,$thf( zero )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(101154,plain,
( $false
| ( smaller_or_equal @ zero @ ( age @ sk1 @ sk5 ) ) ),
inference(rewrite,[status(thm)],[36041,100973]) ).
thf(101155,plain,
smaller_or_equal @ zero @ ( age @ sk1 @ sk5 ),
inference(simp,[status(thm)],[101154]) ).
thf(41015,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ~ ( greater @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[7467,39682]) ).
thf(41016,plain,
( ( smaller @ ( age @ sk1 @ sk4 ) @ tau )
| ~ ( greater @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[41015:[]]) ).
thf(99593,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ ( age @ sk1 @ sk5 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[98144,126]) ).
thf(99594,plain,
( ( mod2 != tau )
| ( smaller_or_equal @ mod1 @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[99593:[bind(A,$thf( mod1 )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(858,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ A @ mod1 )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,138]) ).
thf(859,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( greater @ A @ mod1 ) ),
inference(pattern_uni,[status(thm)],[858:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(49396,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= mod2 )
| ~ ( is_aligned @ sk1 @ A )
| ( ( positional_advantage @ sk1 @ A )
!= ( positional_advantage @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[49247,4388]) ).
thf(49397,plain,
( ( ( hazard_of_mortality @ sk1 @ sk4 )
= mod2 )
| ~ ( is_aligned @ sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[49396:[bind(A,$thf( sk4 ))]]) ).
thf(6627,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,3581]) ).
thf(6650,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != tau )
| ( sk5 != zero ) ),
inference(simp,[status(thm)],[6627]) ).
thf(356,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[46,158]) ).
thf(357,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[356:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(40139,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(rewrite,[status(thm)],[357,5731,30]) ).
thf(40140,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ mod2 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[40139]) ).
thf(100991,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ mod2 @ high ) ),
inference(paramod_ordered,[status(thm)],[100571,487]) ).
thf(101095,plain,
( ( ( age @ sk1 @ sk5 )
!= mod2 )
| ( high != zero ) ),
inference(simp,[status(thm)],[100991]) ).
thf(713,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[50,158]) ).
thf(714,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk5 )
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ ( positional_advantage @ sk1 @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[713:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(113496,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ $true
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(rewrite,[status(thm)],[714,5731,4425,30]) ).
thf(113497,plain,
( ~ ( is_aligned @ sk1 @ sk5 )
| ( sk3 != sk2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[113496]) ).
thf(100901,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ zero )
!= ( greater @ low @ mod1 ) ),
inference(paramod_ordered,[status(thm)],[100571,507]) ).
thf(101116,plain,
( ( ( age @ sk1 @ sk5 )
!= low )
| ( mod1 != zero ) ),
inference(simp,[status(thm)],[100901]) ).
thf(701,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,149]) ).
thf(702,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[701:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(112625,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[702,5731,30]) ).
thf(112626,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[112625]) ).
thf(55622,plain,
! [B: $i,A: $i] :
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( greater_or_equal @ A @ B )
| ( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55554,65]) ).
thf(55623,plain,
( ( ( age @ sk1 @ sk3 )
!= zero )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[55622:[bind(A,$thf( tau )),bind(B,$thf( age @ sk1 @ sk3 ))]]) ).
thf(60641,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ mod1 @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[13824,479]) ).
thf(60763,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( sk5 != mod1 )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[60641]) ).
thf(60816,plain,
( ( sk5 != mod1 )
| ( sk4 != low )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[60763]) ).
thf(20414,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ ( age @ sk1 @ sk4 ) @ tau ) ),
inference(paramod_ordered,[status(thm)],[27,20373]) ).
thf(20464,plain,
( ( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk4 ) )
| ( tau != tau ) ),
inference(simp,[status(thm)],[20414]) ).
thf(20478,plain,
( ( age @ sk1 @ sk5 )
!= ( age @ sk1 @ sk4 ) ),
inference(simp,[status(thm)],[20464]) ).
thf(87,plain,
! [B: $i,A: $i] :
( ~ ( has_endowment @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ eta )
| ( has_immunity @ A @ B ) ),
inference(cnf,[status(esa)],[86]) ).
thf(41165,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ~ ( greater @ zero @ ( age @ sk1 @ sk4 ) )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[22189,39682]) ).
thf(41166,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ~ ( greater @ zero @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[41165:[]]) ).
thf(13974,plain,
( ( greater @ sk4 @ sk5 )
| ( ( greater_or_equal @ sk4 @ sk5 )
!= ( greater_or_equal @ mod1 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[265,4471]) ).
thf(14015,plain,
( ( greater @ sk4 @ sk5 )
| ( sk4 != mod1 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[13974]) ).
thf(844,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater_or_equal @ low @ A )
| ( B != very_low ) ),
inference(paramod_ordered,[status(thm)],[137,277]) ).
thf(845,plain,
! [A: $i] :
( ( smaller @ A @ very_low )
| ( greater @ A @ very_low )
| ( greater_or_equal @ low @ A ) ),
inference(pattern_uni,[status(thm)],[844:[bind(A,$thf( A )),bind(B,$thf( very_low ))]]) ).
thf(731,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= low )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( organization @ sk1 )
!= ( organization @ A ) ) ),
inference(paramod_ordered,[status(thm)],[30,50]) ).
thf(732,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= low )
| ( has_immunity @ sk1 @ A )
| ~ ( is_aligned @ sk1 @ A )
| ~ ( positional_advantage @ sk1 @ A ) ),
inference(pattern_uni,[status(thm)],[731:[bind(A,$thf( sk1 ))]]) ).
thf(734,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= low )
| ( has_immunity @ sk1 @ A )
| ~ ( is_aligned @ sk1 @ A )
| ~ ( positional_advantage @ sk1 @ A ) ),
inference(simp,[status(thm)],[732]) ).
thf(123541,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= low )
| $false
| ~ ( is_aligned @ sk1 @ A )
| ~ ( positional_advantage @ sk1 @ A ) ),
inference(rewrite,[status(thm)],[734,5731]) ).
thf(123542,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= low )
| ~ ( is_aligned @ sk1 @ A )
| ~ ( positional_advantage @ sk1 @ A ) ),
inference(simp,[status(thm)],[123541]) ).
thf(123701,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= low )
| ~ ( is_aligned @ sk1 @ A )
| ( ( positional_advantage @ sk1 @ sk5 )
!= ( positional_advantage @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[4425,123542]) ).
thf(123702,plain,
( ( ( hazard_of_mortality @ sk1 @ sk5 )
= low )
| ~ ( is_aligned @ sk1 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[123701:[bind(A,$thf( sk5 ))]]) ).
thf(126161,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != very_low )
| ( A != high ) ),
inference(paramod_ordered,[status(thm)],[68,125893]) ).
thf(126162,plain,
! [A: $i] :
( ~ ( greater_or_equal @ high @ A )
| ( greater @ high @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[126161:[bind(A,$thf( high ))]]) ).
thf(126166,plain,
( ~ ( greater_or_equal @ high @ very_low )
| ( greater @ high @ very_low ) ),
inference(simp,[status(thm)],[126162]) ).
thf(27752,plain,
( ( greater @ sk3 @ sk4 )
| ( ( greater @ sk4 @ sk3 )
!= ( greater @ sk3 @ sk4 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[26986]) ).
thf(27771,plain,
( ( greater @ sk3 @ sk4 )
| ( ( greater @ sk4 @ sk3 )
!= ( greater @ sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[27752]) ).
thf(20416,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ tau )
!= ( greater @ mod1 @ low ) ),
inference(paramod_ordered,[status(thm)],[113,20373]) ).
thf(20452,plain,
( ( ( age @ sk1 @ sk4 )
!= mod1 )
| ( low != tau ) ),
inference(simp,[status(thm)],[20416]) ).
thf(6613,plain,
( ( greater @ sk2 @ sk5 )
| ( ( greater_or_equal @ sk2 @ sk5 )
!= ( greater_or_equal @ mod1 @ low ) ) ),
inference(paramod_ordered,[status(thm)],[265,3581]) ).
thf(6644,plain,
( ( greater @ sk2 @ sk5 )
| ( sk2 != mod1 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[6613]) ).
thf(42544,plain,
! [B: $i,A: $i] :
( ( sk2 != mod1 )
| ( sk5 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6644,71]) ).
thf(42545,plain,
( ( sk2 != mod1 )
| ( sk5 != low )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[42544:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(723,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[50,36]) ).
thf(724,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk5 )
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ ( positional_advantage @ sk1 @ sk5 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[723:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(116857,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk5 )
| ~ $true
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[724,49568,5731,4425,30]) ).
thf(116858,plain,
( ~ ( is_aligned @ sk1 @ sk5 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ low @ ( hazard_of_mortality @ sk1 @ sk3 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[116857]) ).
thf(97851,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ mod1 )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[93804,134]) ).
thf(97852,plain,
( ( mod2 != sigma )
| ( smaller @ mod1 @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[97851:[bind(A,$thf( mod1 )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(715,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,158]) ).
thf(716,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(pattern_uni,[status(thm)],[715:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(114083,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(rewrite,[status(thm)],[716,5731,30]) ).
thf(114084,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= sigma )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
!= tau ) ),
inference(simp,[status(thm)],[114083]) ).
thf(60381,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[24099,58465]) ).
thf(60382,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[60381:[]]) ).
thf(725,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ~ ( positional_advantage @ A @ B )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[50,36]) ).
thf(726,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[725:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(117690,plain,
( ~ $true
| $false
| ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[726,49568,5731,30]) ).
thf(117691,plain,
( ~ ( is_aligned @ sk1 @ sk3 )
| ~ ( positional_advantage @ sk1 @ sk3 )
| ( ( hazard_of_mortality @ sk1 @ sk3 )
!= mod2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ low )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[117690]) ).
thf(61920,plain,
( ( sk5 != high )
| ( sk4 != mod2 )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ low @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[13826,483]) ).
thf(61959,plain,
( ( sk5 != high )
| ( sk4 != mod2 )
| ( sk5 != low )
| ( sk4 != mod2 ) ),
inference(simp,[status(thm)],[61920]) ).
thf(61998,plain,
( ( sk5 != high )
| ( sk4 != mod2 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[61959]) ).
thf(2246,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != low )
| ( B != mod1 ) ),
inference(paramod_ordered,[status(thm)],[137,2240]) ).
thf(2247,plain,
! [A: $i] :
( ( smaller @ A @ mod1 )
| ( greater @ A @ mod1 )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[2246:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(2249,plain,
( ( smaller @ low @ mod1 )
| ( greater @ low @ mod1 ) ),
inference(simp,[status(thm)],[2247]) ).
thf(5974,plain,
( ( smaller @ low @ mod1 )
| $false ),
inference(rewrite,[status(thm)],[2249,507]) ).
thf(5975,plain,
smaller @ low @ mod1,
inference(simp,[status(thm)],[5974]) ).
thf(7166,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ low @ mod1 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5975,126]) ).
thf(7167,plain,
smaller_or_equal @ low @ mod1,
inference(pattern_uni,[status(thm)],[7166:[bind(A,$thf( low )),bind(B,$thf( mod1 ))]]) ).
thf(58471,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30948,55561]) ).
thf(58472,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[58471:[]]) ).
thf(129673,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ~ ( greater @ B @ A )
| ( ( greater @ tau @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125866,71]) ).
thf(129674,plain,
( ( mod2 != sigma )
| ~ ( greater @ low @ tau ) ),
inference(pattern_uni,[status(thm)],[129673:[bind(A,$thf( tau )),bind(B,$thf( low ))]]) ).
thf(22833,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[6194,507]) ).
thf(22920,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ( sk4 != low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[22833]) ).
thf(22926,plain,
( ( sk4 != low )
| ( sk2 != very_low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[22920]) ).
thf(95967,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != sigma )
| ( greater_or_equal @ tau @ mod1 )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94780]) ).
thf(95968,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != sigma )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(pattern_uni,[status(thm)],[95967:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(96068,plain,
( ( smaller @ sigma @ mod2 )
| ( greater @ sigma @ mod2 )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(simp,[status(thm)],[95968]) ).
thf(32468,plain,
( ( sk5 != sigma )
| ( sk2 != zero )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ sigma @ tau ) ) ),
inference(paramod_ordered,[status(thm)],[6450,9439]) ).
thf(32508,plain,
( ( sk5 != sigma )
| ( sk2 != zero )
| ( sk5 != sigma )
| ( sk2 != tau ) ),
inference(simp,[status(thm)],[32468]) ).
thf(32544,plain,
( ( sk5 != sigma )
| ( sk2 != zero )
| ( sk2 != tau ) ),
inference(simp,[status(thm)],[32508]) ).
thf(741,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ low @ mod2 ) ),
inference(paramod_ordered,[status(thm)],[27,483]) ).
thf(748,plain,
( ( ( age @ sk1 @ sk5 )
!= low )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[741]) ).
thf(97510,plain,
! [B: $i,A: $i] :
( ( greater @ mod2 @ zero )
| ( greater @ sigma @ mod1 )
| ( greater @ B @ A )
| ( ( smaller @ mod2 @ zero )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94713,133]) ).
thf(97511,plain,
( ( greater @ mod2 @ zero )
| ( greater @ sigma @ mod1 )
| ( greater @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[97510:[bind(A,$thf( mod2 )),bind(B,$thf( zero ))]]) ).
thf(101677,plain,
! [B: $i,A: $i] :
( ( very_low != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ low @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100767,65]) ).
thf(101678,plain,
( ( very_low != tau )
| ( greater_or_equal @ low @ zero ) ),
inference(pattern_uni,[status(thm)],[101677:[bind(A,$thf( low )),bind(B,$thf( zero ))]]) ).
thf(1850,plain,
( ( greater @ high @ mod2 )
!= ( greater @ zero @ sigma ) ),
inference(paramod_ordered,[status(thm)],[140,519]) ).
thf(1854,plain,
( ( high != zero )
| ( mod2 != sigma ) ),
inference(simp,[status(thm)],[1850]) ).
thf(33258,plain,
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[6451,507]) ).
thf(33342,plain,
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ( sk5 != low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[33258]) ).
thf(33383,plain,
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[33342]) ).
thf(17194,plain,
! [B: $i,A: $i] :
( ( greater @ sk2 @ sk4 )
| ( greater_or_equal @ A @ B )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9371,65]) ).
thf(17195,plain,
( ( greater @ sk2 @ sk4 )
| ( greater_or_equal @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[17194:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(7124,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ mod2 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ very_low @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1636,126]) ).
thf(7125,plain,
( ( greater @ very_low @ mod2 )
| ( smaller_or_equal @ very_low @ mod2 ) ),
inference(pattern_uni,[status(thm)],[7124:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(26969,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != sk3 )
| ( B != sk4 ) ),
inference(paramod_ordered,[status(thm)],[129,26942]) ).
thf(26970,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ sk4 )
| ( smaller @ A @ sk4 )
| ( A != sk3 ) ),
inference(pattern_uni,[status(thm)],[26969:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(26978,plain,
( ~ ( smaller_or_equal @ sk3 @ sk4 )
| ( smaller @ sk3 @ sk4 ) ),
inference(simp,[status(thm)],[26970]) ).
thf(1848,plain,
( ( greater @ low @ very_low )
!= ( greater @ zero @ sigma ) ),
inference(paramod_ordered,[status(thm)],[54,519]) ).
thf(1861,plain,
( ( low != zero )
| ( very_low != sigma ) ),
inference(simp,[status(thm)],[1848]) ).
thf(441,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) )
| ( ( hazard_of_mortality @ A @ B )
!= ( hazard_of_mortality @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,149]) ).
thf(442,plain,
( ~ ( organization @ sk1 )
| ( has_immunity @ sk1 @ sk3 )
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[441:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(69559,plain,
( ~ $true
| $false
| ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[442,5731,30]) ).
thf(69560,plain,
( ( is_aligned @ sk1 @ sk3 )
| ( positional_advantage @ sk1 @ sk3 )
| ( sk3 != sk2 )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk5 ) @ high )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[69559]) ).
thf(62748,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[24099,60386]) ).
thf(62749,plain,
( ( greater @ sigma @ ( age @ sk1 @ sk3 ) )
| ( smaller_or_equal @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(pattern_uni,[status(thm)],[62748:[]]) ).
thf(2220,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ low @ mod1 ) ),
inference(paramod_ordered,[status(thm)],[27,507]) ).
thf(2230,plain,
( ( ( age @ sk1 @ sk5 )
!= low )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[2220]) ).
thf(39735,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[22189,39327]) ).
thf(39736,plain,
( ( greater @ tau @ ( age @ sk1 @ sk4 ) )
| ( greater @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[39735:[]]) ).
thf(126163,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != very_low )
| ( B != high ) ),
inference(paramod_ordered,[status(thm)],[68,125893]) ).
thf(126164,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ high )
| ( greater @ A @ high )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[126163:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(126167,plain,
( ~ ( greater_or_equal @ very_low @ high )
| ( greater @ very_low @ high ) ),
inference(simp,[status(thm)],[126164]) ).
thf(35114,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ very_low @ low ) ) ),
inference(paramod_ordered,[status(thm)],[6453,503]) ).
thf(35172,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( sk5 != very_low )
| ( sk2 != low ) ),
inference(simp,[status(thm)],[35114]) ).
thf(35208,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ( sk5 != very_low ) ),
inference(simp,[status(thm)],[35172]) ).
thf(35123,plain,
! [B: $i,A: $i] :
( ( sk5 != mod1 )
| ( sk2 != low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6453,71]) ).
thf(35124,plain,
( ( sk5 != mod1 )
| ( sk2 != low )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[35123:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(126183,plain,
( ~ ( greater_or_equal @ low @ high )
| $false ),
inference(rewrite,[status(thm)],[3480,125986]) ).
thf(126184,plain,
~ ( greater_or_equal @ low @ high ),
inference(simp,[status(thm)],[126183]) ).
thf(27159,plain,
! [B: $i,A: $i] :
( ( greater @ sk3 @ sk4 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ sk3 @ sk4 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[26976,126]) ).
thf(27160,plain,
( ( greater @ sk3 @ sk4 )
| ( smaller_or_equal @ sk3 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[27159:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(7156,plain,
! [B: $i,A: $i] :
( ( smaller_or_equal @ A @ B )
| ( ( smaller @ sigma @ tau )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[26,126]) ).
thf(7157,plain,
smaller_or_equal @ sigma @ tau,
inference(pattern_uni,[status(thm)],[7156:[bind(A,$thf( sigma )),bind(B,$thf( tau ))]]) ).
thf(98109,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93835,65]) ).
thf(98110,plain,
( ( mod2 != tau )
| ( greater_or_equal @ ( age @ sk1 @ sk5 ) @ mod1 ) ),
inference(pattern_uni,[status(thm)],[98109:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( mod1 ))]]) ).
thf(2175,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ very_low @ low ) ),
inference(paramod_ordered,[status(thm)],[31,503]) ).
thf(2183,plain,
( ( ( age @ sk1 @ sk4 )
!= very_low )
| ( low != sigma ) ),
inference(simp,[status(thm)],[2175]) ).
thf(25471,plain,
! [B: $i,A: $i] :
( ( sk2 != low )
| ( sk4 != very_low )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk4 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6327,71]) ).
thf(25472,plain,
( ( sk2 != low )
| ( sk4 != very_low )
| ~ ( greater @ sk4 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[25471:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(130642,plain,
! [B: $i,A: $i] :
( ( mod2 != zero )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ low @ sigma )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[128675,126]) ).
thf(130643,plain,
( ( mod2 != zero )
| ( smaller_or_equal @ low @ sigma ) ),
inference(pattern_uni,[status(thm)],[130642:[bind(A,$thf( low )),bind(B,$thf( sigma ))]]) ).
thf(834,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater_or_equal @ A @ zero )
| ( B != sigma ) ),
inference(paramod_ordered,[status(thm)],[137,283]) ).
thf(835,plain,
! [A: $i] :
( ( smaller @ A @ sigma )
| ( greater @ A @ sigma )
| ( greater_or_equal @ A @ zero ) ),
inference(pattern_uni,[status(thm)],[834:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(32138,plain,
( ( sk5 != high )
| ( sk2 != mod2 )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ mod1 @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6447,479]) ).
thf(32242,plain,
( ( sk5 != high )
| ( sk2 != mod2 )
| ( sk5 != mod1 )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[32138]) ).
thf(32284,plain,
( ( sk5 != high )
| ( sk2 != mod2 )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[32242]) ).
thf(7618,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != very_low )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[129,761]) ).
thf(7619,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ mod2 @ A )
| ( smaller @ mod2 @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[7618:[bind(A,$thf( mod2 ))]]) ).
thf(9051,plain,
( ~ ( smaller_or_equal @ mod2 @ very_low )
| ( smaller @ mod2 @ very_low ) ),
inference(simp,[status(thm)],[7619]) ).
thf(118657,plain,
! [B: $i,A: $i] :
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk3 ) @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100596,65]) ).
thf(118658,plain,
( ( greater @ tau @ ( age @ sk1 @ sk3 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk3 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[118657:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( zero ))]]) ).
thf(469,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= high )
| ( has_immunity @ A @ B )
| ( is_aligned @ A @ B )
| ( positional_advantage @ A @ B )
| ( ( organization @ sk1 )
!= ( organization @ A ) ) ),
inference(paramod_ordered,[status(thm)],[30,48]) ).
thf(470,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= high )
| ( has_immunity @ sk1 @ A )
| ( is_aligned @ sk1 @ A )
| ( positional_advantage @ sk1 @ A ) ),
inference(pattern_uni,[status(thm)],[469:[bind(A,$thf( sk1 ))]]) ).
thf(471,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= high )
| ( has_immunity @ sk1 @ A )
| ( is_aligned @ sk1 @ A )
| ( positional_advantage @ sk1 @ A ) ),
inference(simp,[status(thm)],[470]) ).
thf(4401,plain,
! [A: $i] :
( ( ( hazard_of_mortality @ sk1 @ A )
= high )
| ( has_immunity @ sk1 @ A )
| ( is_aligned @ sk1 @ A )
| ( ( positional_advantage @ sk1 @ A )
!= ( positional_advantage @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[471,4388]) ).
thf(4402,plain,
( ( ( hazard_of_mortality @ sk1 @ sk4 )
= high )
| ( has_immunity @ sk1 @ sk4 )
| ( is_aligned @ sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[4401:[bind(A,$thf( sk4 ))]]) ).
thf(77559,plain,
( ( ( hazard_of_mortality @ sk1 @ sk4 )
= high )
| $false
| ( is_aligned @ sk1 @ sk4 ) ),
inference(rewrite,[status(thm)],[4402,5731]) ).
thf(77560,plain,
( ( ( hazard_of_mortality @ sk1 @ sk4 )
= high )
| ( is_aligned @ sk1 @ sk4 ) ),
inference(simp,[status(thm)],[77559]) ).
thf(77744,plain,
( ( ( hazard_of_mortality @ sk1 @ sk4 )
= high )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
= mod2 )
| ( ( is_aligned @ sk1 @ sk4 )
!= ( is_aligned @ sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[77560,49397]) ).
thf(77745,plain,
( ( ( hazard_of_mortality @ sk1 @ sk4 )
= high )
| ( ( hazard_of_mortality @ sk1 @ sk4 )
= mod2 ) ),
inference(pattern_uni,[status(thm)],[77744:[]]) ).
thf(671,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod2 )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( ( hazard_of_mortality @ C @ D )
= low )
| ~ ( organization @ C )
| ( has_immunity @ C @ D )
| ~ ( is_aligned @ C @ D )
| ( ( positional_advantage @ A @ B )
!= ( positional_advantage @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[46,50]) ).
thf(672,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod2 )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= low )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B ) ),
inference(pattern_uni,[status(thm)],[671:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(735,plain,
! [B: $i,A: $i] :
( ( ( hazard_of_mortality @ A @ B )
= mod2 )
| ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ~ ( is_aligned @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= low ) ),
inference(simp,[status(thm)],[672]) ).
thf(63991,plain,
( ( sk5 != mod2 )
| ( sk4 != mod1 )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[13828,507]) ).
thf(64098,plain,
( ( sk5 != mod2 )
| ( sk4 != mod1 )
| ( sk5 != low )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[63991]) ).
thf(64154,plain,
( ( sk5 != mod2 )
| ( sk4 != mod1 )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[64098]) ).
thf(25548,plain,
( ( sk5 != sk3 )
| ( ( greater @ sigma @ ( age @ sk1 @ sk4 ) )
!= ( greater @ sigma @ ( age @ sk1 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[24949,511]) ).
thf(25642,plain,
( ( sk5 != sk3 )
| ( sigma != sigma )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[25548]) ).
thf(25671,plain,
( ( sk5 != sk3 )
| ( ( age @ sk1 @ sk4 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(simp,[status(thm)],[25642]) ).
thf(104285,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ high @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[100854,65]) ).
thf(104286,plain,
( ( mod2 != tau )
| ( greater_or_equal @ high @ zero ) ),
inference(pattern_uni,[status(thm)],[104285:[bind(A,$thf( high )),bind(B,$thf( zero ))]]) ).
thf(2224,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ low @ mod1 ) ),
inference(paramod_ordered,[status(thm)],[31,507]) ).
thf(2233,plain,
( ( ( age @ sk1 @ sk4 )
!= low )
| ( mod1 != sigma ) ),
inference(simp,[status(thm)],[2224]) ).
thf(21445,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( B != tau )
| ( A
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[68,21419]) ).
thf(21446,plain,
! [A: $i] :
( ~ ( greater_or_equal @ ( age @ sk1 @ sk3 ) @ A )
| ( greater @ ( age @ sk1 @ sk3 ) @ A )
| ( A != tau ) ),
inference(pattern_uni,[status(thm)],[21445:[bind(A,$thf( age @ sk1 @ sk3 )),bind(B,$thf( B ))]]) ).
thf(21458,plain,
( ~ ( greater_or_equal @ ( age @ sk1 @ sk3 ) @ tau )
| ( greater @ ( age @ sk1 @ sk3 ) @ tau ) ),
inference(simp,[status(thm)],[21446]) ).
thf(2893,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A != low )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[68,554]) ).
thf(2894,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[2893:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(3593,plain,
( ~ ( greater_or_equal @ low @ mod2 )
| ( greater @ low @ mod2 ) ),
inference(simp,[status(thm)],[2894]) ).
thf(15355,plain,
( ~ ( greater_or_equal @ low @ mod2 )
| $false ),
inference(rewrite,[status(thm)],[3593,483]) ).
thf(15356,plain,
~ ( greater_or_equal @ low @ mod2 ),
inference(simp,[status(thm)],[15355]) ).
thf(33318,plain,
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ mod2 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[6451,487]) ).
thf(33357,plain,
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ( sk5 != mod2 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[33318]) ).
thf(33386,plain,
( ( sk5 != mod2 )
| ( sk2 != mod1 )
| ( sk2 != high ) ),
inference(simp,[status(thm)],[33357]) ).
thf(7384,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != mod1 )
| ( A != high ) ),
inference(paramod_ordered,[status(thm)],[129,555]) ).
thf(7385,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ high @ A )
| ( smaller @ high @ A )
| ( A != mod1 ) ),
inference(pattern_uni,[status(thm)],[7384:[bind(A,$thf( high ))]]) ).
thf(8901,plain,
( ~ ( smaller_or_equal @ high @ mod1 )
| ( smaller @ high @ mod1 ) ),
inference(simp,[status(thm)],[7385]) ).
thf(7120,plain,
! [B: $i,A: $i] :
( ( greater @ very_low @ mod1 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ very_low @ mod1 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2199,126]) ).
thf(7121,plain,
( ( greater @ very_low @ mod1 )
| ( smaller_or_equal @ very_low @ mod1 ) ),
inference(pattern_uni,[status(thm)],[7120:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(134985,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125794,65]) ).
thf(134986,plain,
( ( mod2 != tau )
| ( greater_or_equal @ ( age @ sk1 @ sk5 ) @ low ) ),
inference(pattern_uni,[status(thm)],[134985:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( low ))]]) ).
thf(125952,plain,
( ( greater @ high @ low )
!= ( greater @ tau @ ( age @ sk1 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[125589,499]) ).
thf(126078,plain,
( ( high != tau )
| ( ( age @ sk1 @ sk5 )
!= low ) ),
inference(simp,[status(thm)],[125952]) ).
thf(102881,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ( smaller @ A @ B )
| ( ( greater @ mod2 @ zero )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100794,134]) ).
thf(102882,plain,
( ( mod1 != tau )
| ( smaller @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[102881:[bind(A,$thf( zero )),bind(B,$thf( mod2 ))]]) ).
thf(106636,plain,
! [B: $i,A: $i] :
( ( mod1 != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[102882,126]) ).
thf(106637,plain,
( ( mod1 != tau )
| ( smaller_or_equal @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[106636:[bind(A,$thf( zero )),bind(B,$thf( mod2 ))]]) ).
thf(96883,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( smaller_or_equal @ mod1 @ sigma )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,95872]) ).
thf(96884,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != zero )
| ( smaller_or_equal @ mod1 @ sigma ) ),
inference(pattern_uni,[status(thm)],[96883:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(96990,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( smaller_or_equal @ mod1 @ sigma ) ),
inference(simp,[status(thm)],[96884]) ).
thf(45077,plain,
! [B: $i,A: $i] :
( ( sk2 != tau )
| ( sk5 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6650,71]) ).
thf(45078,plain,
( ( sk2 != tau )
| ( sk5 != zero )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[45077:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(7678,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != sk2 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[129,625]) ).
thf(7679,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ sk5 @ A )
| ( smaller @ sk5 @ A )
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[7678:[bind(A,$thf( sk5 ))]]) ).
thf(9083,plain,
( ~ ( smaller_or_equal @ sk5 @ sk2 )
| ( smaller @ sk5 @ sk2 ) ),
inference(simp,[status(thm)],[7679]) ).
thf(98159,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ mod1 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[93835,71]) ).
thf(98160,plain,
( ( mod2 != tau )
| ~ ( greater @ mod1 @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[98159:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( mod1 ))]]) ).
thf(135017,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( smaller @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ low )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[125794,134]) ).
thf(135018,plain,
( ( mod2 != tau )
| ( smaller @ low @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[135017:[bind(A,$thf( low )),bind(B,$thf( age @ sk1 @ sk5 ))]]) ).
thf(7754,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != low )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[129,554]) ).
thf(7755,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ mod2 @ A )
| ( smaller @ mod2 @ A )
| ( A != low ) ),
inference(pattern_uni,[status(thm)],[7754:[bind(A,$thf( mod2 ))]]) ).
thf(9134,plain,
( ~ ( smaller_or_equal @ mod2 @ low )
| ( smaller @ mod2 @ low ) ),
inference(simp,[status(thm)],[7755]) ).
thf(766,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( greater @ A @ low )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,53]) ).
thf(767,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( greater @ A @ low ) ),
inference(pattern_uni,[status(thm)],[766:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(126157,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != very_low )
| ( A != high ) ),
inference(paramod_ordered,[status(thm)],[129,125893]) ).
thf(126158,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ high @ A )
| ( smaller @ high @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[126157:[bind(A,$thf( high ))]]) ).
thf(126170,plain,
( ~ ( smaller_or_equal @ high @ very_low )
| ( smaller @ high @ very_low ) ),
inference(simp,[status(thm)],[126158]) ).
thf(105960,plain,
! [B: $i,A: $i] :
( ( low != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[102595,126]) ).
thf(105961,plain,
( ( low != tau )
| ( smaller_or_equal @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[105960:[bind(A,$thf( zero )),bind(B,$thf( mod2 ))]]) ).
thf(23527,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ mod1 @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6195,479]) ).
thf(23620,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ( sk4 != mod1 )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[23527]) ).
thf(23642,plain,
( ( sk4 != high )
| ( sk2 != mod2 )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[23620]) ).
thf(96090,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sigma )
| ( smaller @ mod1 @ tau )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94805]) ).
thf(96091,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != sigma )
| ( smaller @ mod1 @ tau ) ),
inference(pattern_uni,[status(thm)],[96090:[bind(A,$thf( mod2 ))]]) ).
thf(96210,plain,
( ( smaller @ mod2 @ sigma )
| ( greater @ mod2 @ sigma )
| ( smaller @ mod1 @ tau ) ),
inference(simp,[status(thm)],[96091]) ).
thf(95463,plain,
! [B: $i,A: $i] :
( ( greater @ zero @ mod2 )
| ( greater @ tau @ mod1 )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ mod2 )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94071,126]) ).
thf(95464,plain,
( ( greater @ zero @ mod2 )
| ( greater @ tau @ mod1 )
| ( smaller_or_equal @ zero @ mod2 ) ),
inference(pattern_uni,[status(thm)],[95463:[bind(A,$thf( zero )),bind(B,$thf( mod2 ))]]) ).
thf(13804,plain,
( ( greater @ sk5 @ sk4 )
| ( ( greater_or_equal @ sk5 @ sk4 )
!= ( greater_or_equal @ tau @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[271,4470]) ).
thf(13827,plain,
( ( greater @ sk5 @ sk4 )
| ( sk5 != tau )
| ( sk4 != zero ) ),
inference(simp,[status(thm)],[13804]) ).
thf(2345,plain,
( ( greater @ ( age @ sk1 @ sk4 ) @ sigma )
!= ( greater @ mod1 @ high ) ),
inference(paramod_ordered,[status(thm)],[31,515]) ).
thf(2353,plain,
( ( ( age @ sk1 @ sk4 )
!= mod1 )
| ( high != sigma ) ),
inference(simp,[status(thm)],[2345]) ).
thf(43482,plain,
! [B: $i,A: $i] :
( ( sk2 != sigma )
| ( sk5 != zero )
| ~ ( greater @ B @ A )
| ( ( greater @ sk2 @ sk5 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6645,71]) ).
thf(43483,plain,
( ( sk2 != sigma )
| ( sk5 != zero )
| ~ ( greater @ sk5 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[43482:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(98743,plain,
! [B: $i,A: $i] :
( ( mod2 != sigma )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ mod1 @ ( age @ sk1 @ sk4 ) )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[97852,126]) ).
thf(98744,plain,
( ( mod2 != sigma )
| ( smaller_or_equal @ mod1 @ ( age @ sk1 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[98743:[bind(A,$thf( mod1 )),bind(B,$thf( age @ sk1 @ sk4 ))]]) ).
thf(9500,plain,
( ( greater @ sk4 @ sk2 )
| ( ( greater_or_equal @ sk4 @ sk2 )
!= ( greater_or_equal @ tau @ sigma ) ) ),
inference(paramod_ordered,[status(thm)],[9423,3485]) ).
thf(9547,plain,
( ( greater @ sk4 @ sk2 )
| ( sk4 != tau )
| ( sk2 != sigma ) ),
inference(simp,[status(thm)],[9500]) ).
thf(59908,plain,
( ( sk5 != mod2 )
| ( sk4 != low )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ mod2 @ high ) ) ),
inference(paramod_ordered,[status(thm)],[13823,487]) ).
thf(59941,plain,
( ( sk5 != mod2 )
| ( sk4 != low )
| ( sk5 != mod2 )
| ( sk4 != high ) ),
inference(simp,[status(thm)],[59908]) ).
thf(59985,plain,
( ( sk5 != mod2 )
| ( sk4 != low )
| ( sk4 != high ) ),
inference(simp,[status(thm)],[59941]) ).
thf(21524,plain,
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[6189,507]) ).
thf(21598,plain,
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ( sk4 != low )
| ( sk2 != mod1 ) ),
inference(simp,[status(thm)],[21524]) ).
thf(21634,plain,
( ( sk4 != mod2 )
| ( sk2 != mod1 )
| ( sk4 != low ) ),
inference(simp,[status(thm)],[21598]) ).
thf(7580,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A != sk4 )
| ( B != sk5 ) ),
inference(paramod_ordered,[status(thm)],[129,4454]) ).
thf(7581,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ A @ sk5 )
| ( smaller @ A @ sk5 )
| ( A != sk4 ) ),
inference(pattern_uni,[status(thm)],[7580:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(9023,plain,
( ~ ( smaller_or_equal @ sk4 @ sk5 )
| ( smaller @ sk4 @ sk5 ) ),
inference(simp,[status(thm)],[7581]) ).
thf(125968,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( ( greater @ high @ low )
!= ( greater @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[125589,134]) ).
thf(125969,plain,
smaller @ low @ high,
inference(pattern_uni,[status(thm)],[125968:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(75,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk6 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk7 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(cnf,[status(esa)],[73]) ).
thf(83,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk6 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk7 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(simp,[status(thm)],[75]) ).
thf(95961,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( B != sigma )
| ( greater_or_equal @ tau @ mod1 )
| ( A != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94780]) ).
thf(95962,plain,
! [A: $i] :
( ( smaller @ mod2 @ A )
| ( greater @ mod2 @ A )
| ( A != sigma )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(pattern_uni,[status(thm)],[95961:[bind(A,$thf( mod2 ))]]) ).
thf(96065,plain,
( ( smaller @ mod2 @ sigma )
| ( greater @ mod2 @ sigma )
| ( greater_or_equal @ tau @ mod1 ) ),
inference(simp,[status(thm)],[95962]) ).
thf(66418,plain,
! [B: $i,A: $i] :
( ( greater @ zero @ ( age @ sk1 @ sk4 ) )
| ( greater_or_equal @ A @ B )
| ( ( greater @ ( age @ sk1 @ sk4 ) @ zero )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[38187,65]) ).
thf(66419,plain,
( ( greater @ zero @ ( age @ sk1 @ sk4 ) )
| ( greater_or_equal @ ( age @ sk1 @ sk4 ) @ zero ) ),
inference(pattern_uni,[status(thm)],[66418:[bind(A,$thf( age @ sk1 @ sk4 )),bind(B,$thf( zero ))]]) ).
thf(32202,plain,
! [B: $i,A: $i] :
( ( sk5 != high )
| ( sk2 != mod2 )
| ~ ( greater @ B @ A )
| ( ( greater @ sk5 @ sk2 )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[6447,71]) ).
thf(32203,plain,
( ( sk5 != high )
| ( sk2 != mod2 )
| ~ ( greater @ sk2 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[32202:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(135039,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ~ ( greater @ B @ A )
| ( ( greater @ ( age @ sk1 @ sk5 ) @ low )
!= ( greater @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[125794,71]) ).
thf(135040,plain,
( ( mod2 != tau )
| ~ ( greater @ low @ ( age @ sk1 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[135039:[bind(A,$thf( age @ sk1 @ sk5 )),bind(B,$thf( low ))]]) ).
thf(21749,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( ( greater @ sk4 @ sk2 )
!= ( greater @ mod1 @ mod2 ) ) ),
inference(paramod_ordered,[status(thm)],[6190,479]) ).
thf(21831,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( sk4 != mod1 )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[21749]) ).
thf(21866,plain,
( ( sk4 != mod1 )
| ( sk2 != low )
| ( sk2 != mod2 ) ),
inference(simp,[status(thm)],[21831]) ).
thf(108438,plain,
! [B: $i,A: $i] :
( ( mod2 != tau )
| ( smaller_or_equal @ A @ B )
| ( ( smaller @ zero @ high )
!= ( smaller @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[104312,126]) ).
thf(108439,plain,
( ( mod2 != tau )
| ( smaller_or_equal @ zero @ high ) ),
inference(pattern_uni,[status(thm)],[108438:[bind(A,$thf( zero )),bind(B,$thf( high ))]]) ).
thf(95697,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( greater @ A @ B )
| ( A != zero )
| ( greater_or_equal @ sigma @ mod1 )
| ( B != mod2 ) ),
inference(paramod_ordered,[status(thm)],[137,94536]) ).
thf(95698,plain,
! [A: $i] :
( ( smaller @ A @ mod2 )
| ( greater @ A @ mod2 )
| ( A != zero )
| ( greater_or_equal @ sigma @ mod1 ) ),
inference(pattern_uni,[status(thm)],[95697:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(95797,plain,
( ( smaller @ zero @ mod2 )
| ( greater @ zero @ mod2 )
| ( greater_or_equal @ sigma @ mod1 ) ),
inference(simp,[status(thm)],[95698]) ).
thf(7882,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( B != very_low )
| ( A != low ) ),
inference(paramod_ordered,[status(thm)],[129,2189]) ).
thf(7883,plain,
! [A: $i] :
( ~ ( smaller_or_equal @ low @ A )
| ( smaller @ low @ A )
| ( A != very_low ) ),
inference(pattern_uni,[status(thm)],[7882:[bind(A,$thf( low ))]]) ).
thf(9188,plain,
( ~ ( smaller_or_equal @ low @ very_low )
| ( smaller @ low @ very_low ) ),
inference(simp,[status(thm)],[7883]) ).
thf(60150,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) )
| ( ( age @ sk1 @ sk3 )
!= ( age @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[30948,58429]) ).
thf(60151,plain,
( ~ ( greater @ ( age @ sk1 @ sk3 ) @ sigma )
| ( greater_or_equal @ tau @ ( age @ sk1 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[60150:[]]) ).
thf(633,plain,
( ( greater @ mod1 @ low )
!= ( greater @ zero @ tau ) ),
inference(paramod_ordered,[status(thm)],[113,491]) ).
thf(639,plain,
( ( mod1 != zero )
| ( low != tau ) ),
inference(simp,[status(thm)],[633]) ).
thf(2341,plain,
( ( greater @ ( age @ sk1 @ sk5 ) @ tau )
!= ( greater @ mod1 @ high ) ),
inference(paramod_ordered,[status(thm)],[27,515]) ).
thf(2351,plain,
( ( ( age @ sk1 @ sk5 )
!= mod1 )
| ( high != tau ) ),
inference(simp,[status(thm)],[2341]) ).
thf(58195,plain,
( ( sk5 != low )
| ( sk4 != very_low )
| ( ( greater @ sk5 @ sk4 )
!= ( greater @ low @ mod1 ) ) ),
inference(paramod_ordered,[status(thm)],[13820,507]) ).
thf(58311,plain,
( ( sk5 != low )
| ( sk4 != very_low )
| ( sk5 != low )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[58195]) ).
thf(58347,plain,
( ( sk5 != low )
| ( sk4 != very_low )
| ( sk4 != mod1 ) ),
inference(simp,[status(thm)],[58311]) ).
thf(143648,plain,
$false,
inference(e,[status(thm)],[69,58465,760,101,7569,479,6651,7100,31391,555,23640,9222,18328,35210,2199,2094,136647,125891,65004,9458,100794,138,103712,1995,129364,26942,3581,7143,3680,39594,60386,94975,24949,120485,9469,120,6194,55554,8855,55811,41705,58615,102595,128844,61328,49247,57387,511,125946,19501,104560,56,60299,3942,8879,797,79304,7147,95671,9774,64216,7467,72482,26979,60827,128675,126168,101704,126077,31312,40852,25,58478,21467,101719,55996,1835,24,96862,23946,94378,17053,24867,9708,9465,104575,14023,129408,37,81301,126066,31728,119153,58393,120421,20450,1860,3485,13820,56365,126190,94714,52,82084,105321,62646,31139,110,18187,6332,6643,97117,157,126169,13826,853,101127,98144,62932,46,104327,25820,95674,57,4471,40856,17004,29,22923,16809,14024,128695,9480,55672,88697,261,4988,36689,125866,8934,95794,6189,9457,84,9779,60166,59984,30670,20373,18273,4454,21865,126176,126178,9548,24465,21462,38450,1864,106,64149,121,94536,7139,111652,49568,147,6648,6451,76905,30891,9914,100957,3676,47679,133,9035,16077,95872,6327,100854,265,507,61997,76890,55899,22877,60,25579,26815,21466,94576,40522,1636,102610,125794,97114,103550,546,6731,9221,102856,85,110908,761,126172,94805,41160,58349,7129,102760,35267,101151,44127,28,7161,103535,22092,3742,13829,9126,100793,46221,94071,120518,21801,20459,129654,9031,275,137,92,65,93908,6445,97,21470,9423,14013,60885,135208,625,1968,105241,519,6195,9773,101044,26980,33310,97818,53,60067,44580,499,6335,55561,9245,104312,131657,109,76026,57759,55860,77,6642,642,94421,62735,9085,103509,96,554,753,94713,9387,4721,4425,2240,27016,837,3486,515,9498,38241,6207,173,129835,129,6450,130231,7123,13822,6988,503,60079,647,21636,118707,115882,23818,6331,40644,131961,93804,9053,32282,93751,15463,134,128,3624,9782,27713,541,101884,34453,94820,26986,2189,1996,106724,1857,51030,128651,105,39485,16080,93922,20451,130275,9468,8839,6070,126093,40046,7106,7133,61409,6192,9545,52987,14020,31392,4470,18229,114701,78210,15570,148,40648,9021,96139,94957,102569,149,101157,102897,7155,34,100821,114752,279,21568,30948,7165,125986,8859,733,126192,26977,22,843,2188,23580,39682,6019,16075,125810,27,28781,93835,44,131350,95948,59,35205,14021,118,38187,70742,281,30728,641,71,94958,39327,1635,53186,39731,7145,59241,9439,95945,54,41804,55888,1865,52389,24929,17236,63077,16764,6334,93807,135401,108715,22160,113,16182,37642,42188,649,29582,271,6196,8926,1969,4388,104534,118688,6443,62027,94070,6815,81,94059,119516,6197,98,101058,79786,96550,95086,77377,33396,552,14016,28415,97686,3572,7141,769,6446,108,5838,74892,2182,5367,42308,126165,58502,53039,31654,42645,140,20458,97554,6645,483,21869,49151,130,26976,129630,135,94733,267,20455,5254,128842,94780,58916,1643,24003,26239,9371,38738,21019,80,100927,58371,25672,35,126148,62876,42312,29130,28832,97868,112,115062,9546,553,2005,55659,43557,60287,548,8936,9826,648,487,96987,749,9783,7137,3571,6641,13828,6453,9253,30729,14017,60365,4469,60818,96865,48,40725,61305,16185,7159,9467,25610,39673,125896,93883,263,50,101877,129840,5731,95089,13823,122572,32546,7149,135642,22157,3623,6330,31,67,125893,107440,643,96213,32464,44681,14022,62658,9363,7163,72,61449,101155,41016,99594,859,49397,6650,100571,130255,40140,101095,113497,101116,6333,112626,55623,94561,9395,100767,60816,20478,87,9389,41166,14015,125860,845,2088,123702,6447,99,126166,27771,20452,4780,42545,116858,97852,114084,60382,100861,26,117691,61998,5426,7167,58472,129674,22926,139,96068,21419,32544,748,97511,158,101678,55,114,1854,55810,33383,17195,7125,23,26978,1861,9718,69560,126149,62749,2230,39736,126167,95604,35208,35124,2198,126184,21472,27160,125589,3677,7157,98110,2183,6198,125864,82,25472,123542,20955,130643,835,32284,9051,118658,77745,735,1642,2102,64154,4472,25671,104286,24099,2233,30,21458,15356,33386,8901,7121,134986,93817,126078,106637,96990,45078,9083,3673,98160,13819,126,135018,9134,39637,58429,9541,6644,9778,767,126170,105961,26975,23642,283,129388,6329,528,5975,96210,95464,13827,6452,68,277,2353,43483,98744,9547,21461,6190,59985,21634,9367,9023,125969,100973,29819,13824,22189,114735,83,96065,66419,32203,135040,21866,108439,95797,40821,9188,60151,100596,3580,125846,9479,639,2351,491,102882,77560,58347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT063+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 18:04:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.91/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.97 % [INFO] Parsing done (120ms).
% 1.19/0.98 % [INFO] Running in sequential loop mode.
% 1.72/1.18 % [INFO] eprover registered as external prover.
% 1.72/1.19 % [INFO] Scanning for conjecture ...
% 1.92/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 19 axioms. Running axiom selection ...
% 2.04/1.31 % [INFO] Axiom selection finished. Selected 19 axioms (removed 0 axioms).
% 2.26/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 2.26/1.34 % [INFO] Type checking passed.
% 2.26/1.34 % [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 ...
% 125.64/33.58 % External prover 'e' found a proof!
% 125.64/33.58 % [INFO] Killing All external provers ...
% 125.64/33.58 % Time passed: 33069ms (effective reasoning time: 32604ms)
% 125.64/33.58 % 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)>
% 125.64/33.59 % Axioms used in derivation (19): definition_2, assumption_18c, assumption_17, assumption_18b, assumption_19, definition_smaller, meaning_postulate_greater_comparable, meaning_postulate_greater_strict, definition_greater_or_equal, definition_1, assumption_13, assumption_18d, definition_4, assumption_18a, definition_smaller_or_equal, assumption_18e, assumption_15, meaning_postulate_greater_transitive, assumption_1
% 125.64/33.59 % No. of inferences in proof: 1924
% 125.64/33.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 33069 ms resp. 32604 ms w/o parsing
% 126.56/33.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 126.56/33.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------