%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT058-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:42 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.26s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 212 ( 119 unt; 0 typ; 0 def)
% Number of atoms : 1084 ( 320 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1671 ( 188 ~; 320 |; 0 &;1163 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 327 ( 0 ^; 327 !; 0 ?; 327 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_age,type,
age: $i > $i > $i ).
thf(tp_fragile_position,type,
fragile_position: $i > $o ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_organization,type,
organization: $i > $o ).
thf(tp_positional_advantage,type,
positional_advantage: $i > $i > $o ).
thf(tp_robust_position,type,
robust_position: $i > $o ).
thf(tp_sigma,type,
sigma: $i ).
thf(tp_sk1,type,
sk1: $i > $i ).
thf(tp_sk2,type,
sk2: $i > $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_sk4,type,
sk4: $i ).
thf(tp_smaller,type,
smaller: $i > $i > $o ).
thf(tp_smaller_or_equal,type,
smaller_or_equal: $i > $i > $o ).
thf(tp_tau,type,
tau: $i ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_41) ).
thf(2,axiom,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_40) ).
thf(3,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_39) ).
thf(4,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_38) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_37) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_36) ).
thf(7,axiom,
! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_35) ).
thf(8,axiom,
! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_34) ).
thf(9,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_33) ).
thf(10,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_32) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ~ ( fragile_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ sigma )
| ~ ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_31) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ~ ( fragile_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
| ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_30) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(24,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(25,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[24]) ).
thf(26,negated_conjecture,
robust_position @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_47) ).
thf(27,negated_conjecture,
fragile_position @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_46) ).
thf(28,negated_conjecture,
greater_or_equal @ tau @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_45) ).
thf(29,negated_conjecture,
greater_or_equal @ sigma @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_44) ).
thf(30,negated_conjecture,
( ( age @ sk3 @ sk4 )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_43) ).
thf(31,negated_conjecture,
organization @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_42) ).
thf(32,plain,
$false = $false,
inference(unfold_def,[status(thm)],[25]) ).
thf(33,plain,
( ( ! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(34,plain,
( ( ! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(35,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(36,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(39,plain,
( ( ! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(40,plain,
( ( ! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(41,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(42,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ~ ( fragile_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ sigma )
| ~ ( positional_advantage @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ~ ( fragile_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
| ( positional_advantage @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(46,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(56,plain,
( ( robust_position @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(57,plain,
( ( fragile_position @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(58,plain,
( ( greater_or_equal @ tau @ zero )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(59,plain,
( ( greater_or_equal @ sigma @ zero )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(60,plain,
( ( ( age @ sk3 @ sk4 )
= zero )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(61,plain,
( ( organization @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(62,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[32]) ).
thf(63,plain,
( ( ! [A: $i] :
( ~ ( robust_position @ A )
| ! [B: $i] :
( ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(64,plain,
( ( ! [A: $i] :
( ~ ( robust_position @ A )
| ! [B: $i] :
( ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(65,plain,
( ( ! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A )
| ( positional_advantage @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(66,plain,
( ( ! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(67,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A )
| ( positional_advantage @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(68,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(69,plain,
( ( ! [A: $i] :
( ~ ( fragile_position @ A )
| ! [B: $i] :
( ~ ( greater @ ( age @ A @ B ) @ sigma )
| ~ ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(70,plain,
( ( ! [A: $i] :
( ~ ( fragile_position @ A )
| ! [B: $i] :
( ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
| ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( A = B )
| ( smaller @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(76,plain,
( ( organization @ sk3 )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(77,plain,
( ( ( age @ sk3 @ sk4 )
= zero )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(78,plain,
( ( greater_or_equal @ sigma @ zero )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(79,plain,
( ( greater_or_equal @ tau @ zero )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(80,plain,
( ( fragile_position @ sk3 )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(81,plain,
( ( robust_position @ sk3 )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( A = B )
| ( smaller @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(85,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(86,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(88,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(93,plain,
( ( ! [A: $i] :
( ~ ( fragile_position @ A )
| ! [B: $i] :
( ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
| ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(94,plain,
( ( ! [A: $i] :
( ~ ( fragile_position @ A )
| ! [B: $i] :
( ~ ( greater @ ( age @ A @ B ) @ sigma )
| ~ ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(95,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(96,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
| ( fragile_position @ A )
| ( positional_advantage @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(97,plain,
( ( ! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(98,plain,
( ( ! [A: $i] :
( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
| ( fragile_position @ A )
| ( positional_advantage @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(99,plain,
( ( ! [A: $i] :
( ~ ( robust_position @ A )
| ! [B: $i] :
( ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(100,plain,
( ( ! [A: $i] :
( ~ ( robust_position @ A )
| ! [B: $i] :
( ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(101,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(102,plain,
( ( ! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(103,plain,
( ( ! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(104,plain,
( ( ! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(105,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[62]) ).
thf(106,plain,
! [SV1: $i] :
( ( ! [SY39: $i] :
( ~ ( smaller_or_equal @ SV1 @ SY39 )
| ( SV1 = SY39 )
| ( smaller @ SV1 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(107,plain,
! [SV2: $i] :
( ( ! [SY40: $i] :
( ~ ( smaller @ SV2 @ SY40 )
| ( smaller_or_equal @ SV2 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(108,plain,
! [SV3: $i] :
( ( ! [SY41: $i] :
( ( SV3 != SY41 )
| ( smaller_or_equal @ SV3 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(109,plain,
! [SV4: $i] :
( ( ! [SY42: $i] :
( ~ ( greater_or_equal @ SV4 @ SY42 )
| ( SV4 = SY42 )
| ( greater @ SV4 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(110,plain,
! [SV5: $i] :
( ( ! [SY43: $i] :
( ~ ( greater @ SV5 @ SY43 )
| ( greater_or_equal @ SV5 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(111,plain,
! [SV6: $i] :
( ( ! [SY44: $i] :
( ( SV6 != SY44 )
| ( greater_or_equal @ SV6 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(112,plain,
! [SV7: $i] :
( ( ! [SY45: $i] :
( ~ ( smaller @ SV7 @ SY45 )
| ( greater @ SY45 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(113,plain,
! [SV8: $i] :
( ( ! [SY46: $i] :
( ~ ( greater @ SV8 @ SY46 )
| ( smaller @ SY46 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(114,plain,
! [SV9: $i] :
( ( ! [SY47: $i] :
( ~ ( greater @ SV9 @ SY47 )
| ~ ( greater @ SY47 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(115,plain,
! [SV10: $i] :
( ( ! [SY48: $i] :
( ~ ( greater @ SV10 @ SY48 )
| ! [SY49: $i] :
( ~ ( greater @ SY48 @ SY49 )
| ( greater @ SV10 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(116,plain,
! [SV11: $i] :
( ( ! [SY50: $i] :
( ( smaller @ SV11 @ SY50 )
| ( SV11 = SY50 )
| ( greater @ SV11 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(117,plain,
! [SV12: $i] :
( ( ~ ( fragile_position @ SV12 )
| ! [SY51: $i] :
( ~ ( smaller_or_equal @ ( age @ SV12 @ SY51 ) @ sigma )
| ( positional_advantage @ SV12 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(118,plain,
! [SV13: $i] :
( ( ~ ( fragile_position @ SV13 )
| ! [SY52: $i] :
( ~ ( greater @ ( age @ SV13 @ SY52 ) @ sigma )
| ~ ( positional_advantage @ SV13 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(119,plain,
! [SV14: $i] :
( ( ( smaller_or_equal @ ( age @ SV14 @ ( sk1 @ SV14 ) ) @ sigma )
| ( fragile_position @ SV14 )
| ( greater @ ( age @ SV14 @ ( sk1 @ SV14 ) ) @ sigma ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(120,plain,
! [SV15: $i] :
( ( ( smaller_or_equal @ ( age @ SV15 @ ( sk1 @ SV15 ) ) @ sigma )
| ( fragile_position @ SV15 )
| ( positional_advantage @ SV15 @ ( sk1 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(121,plain,
! [SV16: $i] :
( ( ~ ( positional_advantage @ SV16 @ ( sk1 @ SV16 ) )
| ( fragile_position @ SV16 )
| ( greater @ ( age @ SV16 @ ( sk1 @ SV16 ) ) @ sigma ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(122,plain,
! [SV17: $i] :
( ( ~ ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) )
| ( fragile_position @ SV17 )
| ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(123,plain,
! [SV18: $i] :
( ( ~ ( robust_position @ SV18 )
| ! [SY53: $i] :
( ~ ( smaller_or_equal @ ( age @ SV18 @ SY53 ) @ tau )
| ~ ( positional_advantage @ SV18 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(124,plain,
! [SV19: $i] :
( ( ~ ( robust_position @ SV19 )
| ! [SY54: $i] :
( ~ ( greater @ ( age @ SV19 @ SY54 ) @ tau )
| ( positional_advantage @ SV19 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(125,plain,
! [SV20: $i] :
( ( ( smaller_or_equal @ ( age @ SV20 @ ( sk2 @ SV20 ) ) @ tau )
| ( greater @ ( age @ SV20 @ ( sk2 @ SV20 ) ) @ tau )
| ( robust_position @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(126,plain,
! [SV21: $i] :
( ( ( smaller_or_equal @ ( age @ SV21 @ ( sk2 @ SV21 ) ) @ tau )
| ~ ( positional_advantage @ SV21 @ ( sk2 @ SV21 ) )
| ( robust_position @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(127,plain,
! [SV22: $i] :
( ( ( positional_advantage @ SV22 @ ( sk2 @ SV22 ) )
| ( greater @ ( age @ SV22 @ ( sk2 @ SV22 ) ) @ tau )
| ( robust_position @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(128,plain,
! [SV23: $i] :
( ( ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) )
| ~ ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) )
| ( robust_position @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(129,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(130,plain,
! [SV24: $i,SV1: $i] :
( ( ~ ( smaller_or_equal @ SV1 @ SV24 )
| ( SV1 = SV24 )
| ( smaller @ SV1 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(131,plain,
! [SV25: $i,SV2: $i] :
( ( ~ ( smaller @ SV2 @ SV25 )
| ( smaller_or_equal @ SV2 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(132,plain,
! [SV26: $i,SV3: $i] :
( ( ( SV3 != SV26 )
| ( smaller_or_equal @ SV3 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(133,plain,
! [SV27: $i,SV4: $i] :
( ( ~ ( greater_or_equal @ SV4 @ SV27 )
| ( SV4 = SV27 )
| ( greater @ SV4 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(134,plain,
! [SV28: $i,SV5: $i] :
( ( ~ ( greater @ SV5 @ SV28 )
| ( greater_or_equal @ SV5 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(135,plain,
! [SV29: $i,SV6: $i] :
( ( ( SV6 != SV29 )
| ( greater_or_equal @ SV6 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(136,plain,
! [SV30: $i,SV7: $i] :
( ( ~ ( smaller @ SV7 @ SV30 )
| ( greater @ SV30 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(137,plain,
! [SV31: $i,SV8: $i] :
( ( ~ ( greater @ SV8 @ SV31 )
| ( smaller @ SV31 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(138,plain,
! [SV32: $i,SV9: $i] :
( ( ~ ( greater @ SV9 @ SV32 )
| ~ ( greater @ SV32 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(139,plain,
! [SV33: $i,SV10: $i] :
( ( ~ ( greater @ SV10 @ SV33 )
| ! [SY55: $i] :
( ~ ( greater @ SV33 @ SY55 )
| ( greater @ SV10 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(140,plain,
! [SV34: $i,SV11: $i] :
( ( ( smaller @ SV11 @ SV34 )
| ( SV11 = SV34 )
| ( greater @ SV11 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(141,plain,
! [SV12: $i] :
( ( ( ~ ( fragile_position @ SV12 ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( smaller_or_equal @ ( age @ SV12 @ SY51 ) @ sigma )
| ( positional_advantage @ SV12 @ SY51 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(142,plain,
! [SV13: $i] :
( ( ( ~ ( fragile_position @ SV13 ) )
= $true )
| ( ( ! [SY52: $i] :
( ~ ( greater @ ( age @ SV13 @ SY52 ) @ sigma )
| ~ ( positional_advantage @ SV13 @ SY52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(143,plain,
! [SV14: $i] :
( ( ( smaller_or_equal @ ( age @ SV14 @ ( sk1 @ SV14 ) ) @ sigma )
= $true )
| ( ( ( fragile_position @ SV14 )
| ( greater @ ( age @ SV14 @ ( sk1 @ SV14 ) ) @ sigma ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(144,plain,
! [SV15: $i] :
( ( ( smaller_or_equal @ ( age @ SV15 @ ( sk1 @ SV15 ) ) @ sigma )
= $true )
| ( ( ( fragile_position @ SV15 )
| ( positional_advantage @ SV15 @ ( sk1 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(145,plain,
! [SV16: $i] :
( ( ( ~ ( positional_advantage @ SV16 @ ( sk1 @ SV16 ) ) )
= $true )
| ( ( ( fragile_position @ SV16 )
| ( greater @ ( age @ SV16 @ ( sk1 @ SV16 ) ) @ sigma ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(146,plain,
! [SV17: $i] :
( ( ( ~ ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) ) )
= $true )
| ( ( ( fragile_position @ SV17 )
| ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(147,plain,
! [SV18: $i] :
( ( ( ~ ( robust_position @ SV18 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( smaller_or_equal @ ( age @ SV18 @ SY53 ) @ tau )
| ~ ( positional_advantage @ SV18 @ SY53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV19: $i] :
( ( ( ~ ( robust_position @ SV19 ) )
= $true )
| ( ( ! [SY54: $i] :
( ~ ( greater @ ( age @ SV19 @ SY54 ) @ tau )
| ( positional_advantage @ SV19 @ SY54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV20: $i] :
( ( ( smaller_or_equal @ ( age @ SV20 @ ( sk2 @ SV20 ) ) @ tau )
= $true )
| ( ( ( greater @ ( age @ SV20 @ ( sk2 @ SV20 ) ) @ tau )
| ( robust_position @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(150,plain,
! [SV21: $i] :
( ( ( smaller_or_equal @ ( age @ SV21 @ ( sk2 @ SV21 ) ) @ tau )
= $true )
| ( ( ~ ( positional_advantage @ SV21 @ ( sk2 @ SV21 ) )
| ( robust_position @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(151,plain,
! [SV22: $i] :
( ( ( positional_advantage @ SV22 @ ( sk2 @ SV22 ) )
= $true )
| ( ( ( greater @ ( age @ SV22 @ ( sk2 @ SV22 ) ) @ tau )
| ( robust_position @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(152,plain,
! [SV23: $i] :
( ( ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) )
= $true )
| ( ( ~ ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) )
| ( robust_position @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(153,plain,
! [SV24: $i,SV1: $i] :
( ( ( ~ ( smaller_or_equal @ SV1 @ SV24 ) )
= $true )
| ( ( ( SV1 = SV24 )
| ( smaller @ SV1 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(154,plain,
! [SV25: $i,SV2: $i] :
( ( ( ~ ( smaller @ SV2 @ SV25 ) )
= $true )
| ( ( smaller_or_equal @ SV2 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(155,plain,
! [SV26: $i,SV3: $i] :
( ( ( SV3 != SV26 )
= $true )
| ( ( smaller_or_equal @ SV3 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(156,plain,
! [SV27: $i,SV4: $i] :
( ( ( ~ ( greater_or_equal @ SV4 @ SV27 ) )
= $true )
| ( ( ( SV4 = SV27 )
| ( greater @ SV4 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(157,plain,
! [SV28: $i,SV5: $i] :
( ( ( ~ ( greater @ SV5 @ SV28 ) )
= $true )
| ( ( greater_or_equal @ SV5 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(158,plain,
! [SV29: $i,SV6: $i] :
( ( ( SV6 != SV29 )
= $true )
| ( ( greater_or_equal @ SV6 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(159,plain,
! [SV30: $i,SV7: $i] :
( ( ( ~ ( smaller @ SV7 @ SV30 ) )
= $true )
| ( ( greater @ SV30 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(160,plain,
! [SV31: $i,SV8: $i] :
( ( ( ~ ( greater @ SV8 @ SV31 ) )
= $true )
| ( ( smaller @ SV31 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(161,plain,
! [SV32: $i,SV9: $i] :
( ( ( ~ ( greater @ SV9 @ SV32 ) )
= $true )
| ( ( ~ ( greater @ SV32 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(162,plain,
! [SV33: $i,SV10: $i] :
( ( ( ~ ( greater @ SV10 @ SV33 ) )
= $true )
| ( ( ! [SY55: $i] :
( ~ ( greater @ SV33 @ SY55 )
| ( greater @ SV10 @ SY55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(163,plain,
! [SV34: $i,SV11: $i] :
( ( ( smaller @ SV11 @ SV34 )
= $true )
| ( ( ( SV11 = SV34 )
| ( greater @ SV11 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(164,plain,
! [SV12: $i] :
( ( ( fragile_position @ SV12 )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( smaller_or_equal @ ( age @ SV12 @ SY51 ) @ sigma )
| ( positional_advantage @ SV12 @ SY51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(165,plain,
! [SV13: $i] :
( ( ( fragile_position @ SV13 )
= $false )
| ( ( ! [SY52: $i] :
( ~ ( greater @ ( age @ SV13 @ SY52 ) @ sigma )
| ~ ( positional_advantage @ SV13 @ SY52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(166,plain,
! [SV14: $i] :
( ( ( fragile_position @ SV14 )
= $true )
| ( ( greater @ ( age @ SV14 @ ( sk1 @ SV14 ) ) @ sigma )
= $true )
| ( ( smaller_or_equal @ ( age @ SV14 @ ( sk1 @ SV14 ) ) @ sigma )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(167,plain,
! [SV15: $i] :
( ( ( fragile_position @ SV15 )
= $true )
| ( ( positional_advantage @ SV15 @ ( sk1 @ SV15 ) )
= $true )
| ( ( smaller_or_equal @ ( age @ SV15 @ ( sk1 @ SV15 ) ) @ sigma )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(168,plain,
! [SV16: $i] :
( ( ( positional_advantage @ SV16 @ ( sk1 @ SV16 ) )
= $false )
| ( ( ( fragile_position @ SV16 )
| ( greater @ ( age @ SV16 @ ( sk1 @ SV16 ) ) @ sigma ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(169,plain,
! [SV17: $i] :
( ( ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) )
= $false )
| ( ( ( fragile_position @ SV17 )
| ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV18: $i] :
( ( ( robust_position @ SV18 )
= $false )
| ( ( ! [SY53: $i] :
( ~ ( smaller_or_equal @ ( age @ SV18 @ SY53 ) @ tau )
| ~ ( positional_advantage @ SV18 @ SY53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(171,plain,
! [SV19: $i] :
( ( ( robust_position @ SV19 )
= $false )
| ( ( ! [SY54: $i] :
( ~ ( greater @ ( age @ SV19 @ SY54 ) @ tau )
| ( positional_advantage @ SV19 @ SY54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(172,plain,
! [SV20: $i] :
( ( ( greater @ ( age @ SV20 @ ( sk2 @ SV20 ) ) @ tau )
= $true )
| ( ( robust_position @ SV20 )
= $true )
| ( ( smaller_or_equal @ ( age @ SV20 @ ( sk2 @ SV20 ) ) @ tau )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(173,plain,
! [SV21: $i] :
( ( ( ~ ( positional_advantage @ SV21 @ ( sk2 @ SV21 ) ) )
= $true )
| ( ( robust_position @ SV21 )
= $true )
| ( ( smaller_or_equal @ ( age @ SV21 @ ( sk2 @ SV21 ) ) @ tau )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(174,plain,
! [SV22: $i] :
( ( ( greater @ ( age @ SV22 @ ( sk2 @ SV22 ) ) @ tau )
= $true )
| ( ( robust_position @ SV22 )
= $true )
| ( ( positional_advantage @ SV22 @ ( sk2 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(175,plain,
! [SV23: $i] :
( ( ( ~ ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) ) )
= $true )
| ( ( robust_position @ SV23 )
= $true )
| ( ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(176,plain,
! [SV24: $i,SV1: $i] :
( ( ( smaller_or_equal @ SV1 @ SV24 )
= $false )
| ( ( ( SV1 = SV24 )
| ( smaller @ SV1 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(177,plain,
! [SV25: $i,SV2: $i] :
( ( ( smaller @ SV2 @ SV25 )
= $false )
| ( ( smaller_or_equal @ SV2 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(178,plain,
! [SV26: $i,SV3: $i] :
( ( ( SV3 = SV26 )
= $false )
| ( ( smaller_or_equal @ SV3 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(179,plain,
! [SV27: $i,SV4: $i] :
( ( ( greater_or_equal @ SV4 @ SV27 )
= $false )
| ( ( ( SV4 = SV27 )
| ( greater @ SV4 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(180,plain,
! [SV28: $i,SV5: $i] :
( ( ( greater @ SV5 @ SV28 )
= $false )
| ( ( greater_or_equal @ SV5 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(181,plain,
! [SV29: $i,SV6: $i] :
( ( ( SV6 = SV29 )
= $false )
| ( ( greater_or_equal @ SV6 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(182,plain,
! [SV30: $i,SV7: $i] :
( ( ( smaller @ SV7 @ SV30 )
= $false )
| ( ( greater @ SV30 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(183,plain,
! [SV31: $i,SV8: $i] :
( ( ( greater @ SV8 @ SV31 )
= $false )
| ( ( smaller @ SV31 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(184,plain,
! [SV32: $i,SV9: $i] :
( ( ( greater @ SV9 @ SV32 )
= $false )
| ( ( ~ ( greater @ SV32 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(185,plain,
! [SV33: $i,SV10: $i] :
( ( ( greater @ SV10 @ SV33 )
= $false )
| ( ( ! [SY55: $i] :
( ~ ( greater @ SV33 @ SY55 )
| ( greater @ SV10 @ SY55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(186,plain,
! [SV34: $i,SV11: $i] :
( ( ( SV11 = SV34 )
= $true )
| ( ( greater @ SV11 @ SV34 )
= $true )
| ( ( smaller @ SV11 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(187,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( smaller_or_equal @ ( age @ SV12 @ SV35 ) @ sigma )
| ( positional_advantage @ SV12 @ SV35 ) )
= $true )
| ( ( fragile_position @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(188,plain,
! [SV36: $i,SV13: $i] :
( ( ( ~ ( greater @ ( age @ SV13 @ SV36 ) @ sigma )
| ~ ( positional_advantage @ SV13 @ SV36 ) )
= $true )
| ( ( fragile_position @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(189,plain,
! [SV16: $i] :
( ( ( fragile_position @ SV16 )
= $true )
| ( ( greater @ ( age @ SV16 @ ( sk1 @ SV16 ) ) @ sigma )
= $true )
| ( ( positional_advantage @ SV16 @ ( sk1 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(190,plain,
! [SV17: $i] :
( ( ( fragile_position @ SV17 )
= $true )
| ( ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) )
= $true )
| ( ( positional_advantage @ SV17 @ ( sk1 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(191,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ( smaller_or_equal @ ( age @ SV18 @ SV37 ) @ tau )
| ~ ( positional_advantage @ SV18 @ SV37 ) )
= $true )
| ( ( robust_position @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(192,plain,
! [SV38: $i,SV19: $i] :
( ( ( ~ ( greater @ ( age @ SV19 @ SV38 ) @ tau )
| ( positional_advantage @ SV19 @ SV38 ) )
= $true )
| ( ( robust_position @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(193,plain,
! [SV21: $i] :
( ( ( positional_advantage @ SV21 @ ( sk2 @ SV21 ) )
= $false )
| ( ( robust_position @ SV21 )
= $true )
| ( ( smaller_or_equal @ ( age @ SV21 @ ( sk2 @ SV21 ) ) @ tau )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(194,plain,
! [SV23: $i] :
( ( ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) )
= $false )
| ( ( robust_position @ SV23 )
= $true )
| ( ( positional_advantage @ SV23 @ ( sk2 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(195,plain,
! [SV24: $i,SV1: $i] :
( ( ( SV1 = SV24 )
= $true )
| ( ( smaller @ SV1 @ SV24 )
= $true )
| ( ( smaller_or_equal @ SV1 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(196,plain,
! [SV27: $i,SV4: $i] :
( ( ( SV4 = SV27 )
= $true )
| ( ( greater @ SV4 @ SV27 )
= $true )
| ( ( greater_or_equal @ SV4 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(197,plain,
! [SV9: $i,SV32: $i] :
( ( ( greater @ SV32 @ SV9 )
= $false )
| ( ( greater @ SV9 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV10: $i,SV39: $i,SV33: $i] :
( ( ( ~ ( greater @ SV33 @ SV39 )
| ( greater @ SV10 @ SV39 ) )
= $true )
| ( ( greater @ SV10 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( smaller_or_equal @ ( age @ SV12 @ SV35 ) @ sigma ) )
= $true )
| ( ( positional_advantage @ SV12 @ SV35 )
= $true )
| ( ( fragile_position @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(200,plain,
! [SV36: $i,SV13: $i] :
( ( ( ~ ( greater @ ( age @ SV13 @ SV36 ) @ sigma ) )
= $true )
| ( ( ~ ( positional_advantage @ SV13 @ SV36 ) )
= $true )
| ( ( fragile_position @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(201,plain,
! [SV37: $i,SV18: $i] :
( ( ( ~ ( smaller_or_equal @ ( age @ SV18 @ SV37 ) @ tau ) )
= $true )
| ( ( ~ ( positional_advantage @ SV18 @ SV37 ) )
= $true )
| ( ( robust_position @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(202,plain,
! [SV38: $i,SV19: $i] :
( ( ( ~ ( greater @ ( age @ SV19 @ SV38 ) @ tau ) )
= $true )
| ( ( positional_advantage @ SV19 @ SV38 )
= $true )
| ( ( robust_position @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(203,plain,
! [SV10: $i,SV39: $i,SV33: $i] :
( ( ( ~ ( greater @ SV33 @ SV39 ) )
= $true )
| ( ( greater @ SV10 @ SV39 )
= $true )
| ( ( greater @ SV10 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(204,plain,
! [SV35: $i,SV12: $i] :
( ( ( smaller_or_equal @ ( age @ SV12 @ SV35 ) @ sigma )
= $false )
| ( ( positional_advantage @ SV12 @ SV35 )
= $true )
| ( ( fragile_position @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(205,plain,
! [SV36: $i,SV13: $i] :
( ( ( greater @ ( age @ SV13 @ SV36 ) @ sigma )
= $false )
| ( ( ~ ( positional_advantage @ SV13 @ SV36 ) )
= $true )
| ( ( fragile_position @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(206,plain,
! [SV37: $i,SV18: $i] :
( ( ( smaller_or_equal @ ( age @ SV18 @ SV37 ) @ tau )
= $false )
| ( ( ~ ( positional_advantage @ SV18 @ SV37 ) )
= $true )
| ( ( robust_position @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(207,plain,
! [SV38: $i,SV19: $i] :
( ( ( greater @ ( age @ SV19 @ SV38 ) @ tau )
= $false )
| ( ( positional_advantage @ SV19 @ SV38 )
= $true )
| ( ( robust_position @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(208,plain,
! [SV10: $i,SV39: $i,SV33: $i] :
( ( ( greater @ SV33 @ SV39 )
= $false )
| ( ( greater @ SV10 @ SV39 )
= $true )
| ( ( greater @ SV10 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(209,plain,
! [SV36: $i,SV13: $i] :
( ( ( positional_advantage @ SV13 @ SV36 )
= $false )
| ( ( greater @ ( age @ SV13 @ SV36 ) @ sigma )
= $false )
| ( ( fragile_position @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(210,plain,
! [SV37: $i,SV18: $i] :
( ( ( positional_advantage @ SV18 @ SV37 )
= $false )
| ( ( smaller_or_equal @ ( age @ SV18 @ SV37 ) @ tau )
= $false )
| ( ( robust_position @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(211,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[76,210,209,208,207,204,197,196,195,194,193,190,189,186,183,182,181,180,178,177,174,172,167,166,129,81,80,79,78,77]) ).
thf(212,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT058-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.16 % Computer : n002.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Oct 6 12:46:12 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.26
% 0.10/0.26 No.of.Axioms: 29
% 0.10/0.26
% 0.10/0.26 Length.of.Defs: 0
% 0.10/0.26
% 0.10/0.26 Contains.Choice.Funs: false
% 0.10/0.26 .....
% 0.10/0.26
% 0.10/0.26 ********************************
% 0.10/0.26 * All subproblems solved! *
% 0.10/0.26 ********************************
% 0.10/0.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:29,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:211,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.26
% 0.10/0.26 %**** Beginning of derivation protocol ****
% 0.10/0.26 % SZS output start CNFRefutation
% See solution above
% 0.10/0.26
% 0.10/0.26 %**** End of derivation protocol ****
% 0.10/0.26 %**** no. of clauses in derivation: 212 ****
% 0.10/0.26 %**** clause counter: 211 ****
% 0.10/0.26
% 0.10/0.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:29,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:211,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------