TSTP Solution File: MGT022-2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 : 600s
% DateTime : Sun Jul 17 22:17:12 EDT 2022
% Result : Unsatisfiable 0.18s 0.39s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 89 ( 39 unt; 14 typ; 0 def)
% Number of atoms : 461 ( 116 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 1106 ( 113 ~; 154 |; 0 &; 839 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 135 ( 0 ^ 135 !; 0 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_constant,type,
constant: $i > $o ).
thf(tp_decreases,type,
decreases: $i > $o ).
thf(tp_difference,type,
difference: $i > $i > $i ).
thf(tp_disbanding_rate,type,
disbanding_rate: $i > $i > $i ).
thf(tp_efficient_producers,type,
efficient_producers: $i ).
thf(tp_environment,type,
environment: $i > $o ).
thf(tp_first_movers,type,
first_movers: $i ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_increases,type,
increases: $i > $o ).
thf(tp_resilience,type,
resilience: $i > $i ).
thf(tp_resources,type,
resources: $i > $i > $i ).
thf(tp_sk1,type,
sk1: $i ).
thf(tp_sk2,type,
sk2: $i ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(1,axiom,
! [A: $i] :
( ~ ( constant @ A )
| ~ ( decreases @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).
thf(2,axiom,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_4) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( constant @ ( resources @ A @ D ) )
| ( constant @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_3) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( decreases @ ( resources @ A @ D ) )
| ( increases @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_2) ).
thf(5,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(6,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,negated_conjecture,
( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_10) ).
thf(8,negated_conjecture,
( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
| ( constant @ ( resources @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_9) ).
thf(9,negated_conjecture,
( ( decreases @ ( resources @ sk1 @ sk2 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_8) ).
thf(10,negated_conjecture,
( ( decreases @ ( resources @ sk1 @ sk2 ) )
| ( constant @ ( resources @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_7) ).
thf(11,negated_conjecture,
subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_6) ).
thf(12,negated_conjecture,
environment @ sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_5) ).
thf(13,plain,
$false = $false,
inference(unfold_def,[status(thm)],[6]) ).
thf(14,plain,
( ( ! [A: $i] :
( ~ ( constant @ A )
| ~ ( decreases @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( constant @ ( resources @ A @ D ) )
| ( constant @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( decreases @ ( resources @ A @ D ) )
| ( increases @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
| ( constant @ ( resources @ sk1 @ sk2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ( decreases @ ( resources @ sk1 @ sk2 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(21,plain,
( ( ( decreases @ ( resources @ sk1 @ sk2 ) )
| ( constant @ ( resources @ sk1 @ sk2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(22,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(23,plain,
( ( environment @ sk1 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(24,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( constant @ ( resources @ A @ D ) )
| ( constant @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(26,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( decreases @ ( resources @ A @ D ) )
| ( increases @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(27,plain,
( ( ( constant @ ( resources @ sk1 @ sk2 ) )
| ( decreases @ ( resources @ sk1 @ sk2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(28,plain,
( ( environment @ sk1 )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(29,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(30,plain,
( ( ( constant @ ( resources @ sk1 @ sk2 ) )
| ( decreases @ ( resources @ sk1 @ sk2 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(31,plain,
( ( ( decreases @ ( resources @ sk1 @ sk2 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(32,plain,
( ( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
| ( constant @ ( resources @ sk1 @ sk2 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(33,plain,
( ( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( decreases @ ( resources @ A @ D ) )
| ( increases @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( resilience @ C ) @ ( resilience @ B ) )
| ~ ( constant @ ( resources @ A @ D ) )
| ( constant @ ( difference @ ( disbanding_rate @ B @ D ) @ ( disbanding_rate @ C @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(36,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(37,plain,
( ( ! [A: $i] :
( ~ ( constant @ A )
| ~ ( decreases @ A ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(38,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(39,plain,
( ( ( constant @ ( resources @ sk1 @ sk2 ) )
= $true )
| ( ( decreases @ ( resources @ sk1 @ sk2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(40,plain,
( ( ( decreases @ ( resources @ sk1 @ sk2 ) )
= $true )
| ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(41,plain,
( ( ( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) )
= $true )
| ( ( constant @ ( resources @ sk1 @ sk2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(42,plain,
( ( ( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) ) )
= $true )
| ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(43,plain,
! [SV1: $i] :
( ( ! [SY9: $i] :
( ~ ( environment @ SV1 )
| ! [SY10: $i,SY11: $i] :
( ~ ( subpopulations @ SY9 @ SY10 @ SV1 @ SY11 )
| ~ ( greater @ ( resilience @ SY10 ) @ ( resilience @ SY9 ) )
| ~ ( decreases @ ( resources @ SV1 @ SY11 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SY9 @ SY11 ) @ ( disbanding_rate @ SY10 @ SY11 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(44,plain,
! [SV2: $i] :
( ( ! [SY12: $i] :
( ~ ( environment @ SV2 )
| ! [SY13: $i,SY14: $i] :
( ~ ( subpopulations @ SY12 @ SY13 @ SV2 @ SY14 )
| ~ ( greater @ ( resilience @ SY13 ) @ ( resilience @ SY12 ) )
| ~ ( constant @ ( resources @ SV2 @ SY14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SY12 @ SY14 ) @ ( disbanding_rate @ SY13 @ SY14 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(45,plain,
! [SV3: $i] :
( ( ~ ( constant @ SV3 )
| ~ ( decreases @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(46,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(47,plain,
( ( ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
= $false )
| ( ( constant @ ( resources @ sk1 @ sk2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(48,plain,
( ( ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
= $false )
| ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( environment @ SV1 )
| ! [SY15: $i,SY16: $i] :
( ~ ( subpopulations @ SV4 @ SY15 @ SV1 @ SY16 )
| ~ ( greater @ ( resilience @ SY15 ) @ ( resilience @ SV4 ) )
| ~ ( decreases @ ( resources @ SV1 @ SY16 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SY16 ) @ ( disbanding_rate @ SY15 @ SY16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ! [SY17: $i,SY18: $i] :
( ~ ( subpopulations @ SV5 @ SY17 @ SV2 @ SY18 )
| ~ ( greater @ ( resilience @ SY17 ) @ ( resilience @ SV5 ) )
| ~ ( constant @ ( resources @ SV2 @ SY18 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SY18 ) @ ( disbanding_rate @ SY17 @ SY18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV3: $i] :
( ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ~ ( decreases @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ! [SY15: $i,SY16: $i] :
( ~ ( subpopulations @ SV4 @ SY15 @ SV1 @ SY16 )
| ~ ( greater @ ( resilience @ SY15 ) @ ( resilience @ SV4 ) )
| ~ ( decreases @ ( resources @ SV1 @ SY16 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SY16 ) @ ( disbanding_rate @ SY15 @ SY16 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ! [SY17: $i,SY18: $i] :
( ~ ( subpopulations @ SV5 @ SY17 @ SV2 @ SY18 )
| ~ ( greater @ ( resilience @ SY17 ) @ ( resilience @ SV5 ) )
| ~ ( constant @ ( resources @ SV2 @ SY18 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SY18 ) @ ( disbanding_rate @ SY17 @ SY18 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( ~ ( decreases @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV4: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ! [SY15: $i,SY16: $i] :
( ~ ( subpopulations @ SV4 @ SY15 @ SV1 @ SY16 )
| ~ ( greater @ ( resilience @ SY15 ) @ ( resilience @ SV4 ) )
| ~ ( decreases @ ( resources @ SV1 @ SY16 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SY16 ) @ ( disbanding_rate @ SY15 @ SY16 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ! [SY17: $i,SY18: $i] :
( ~ ( subpopulations @ SV5 @ SY17 @ SV2 @ SY18 )
| ~ ( greater @ ( resilience @ SY17 ) @ ( resilience @ SV5 ) )
| ~ ( constant @ ( resources @ SV2 @ SY18 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SY18 ) @ ( disbanding_rate @ SY17 @ SY18 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV3: $i] :
( ( ( decreases @ SV3 )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV1: $i,SV6: $i,SV4: $i] :
( ( ( ! [SY19: $i] :
( ~ ( subpopulations @ SV4 @ SV6 @ SV1 @ SY19 )
| ~ ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) )
| ~ ( decreases @ ( resources @ SV1 @ SY19 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SY19 ) @ ( disbanding_rate @ SV6 @ SY19 ) ) ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ( ! [SY20: $i] :
( ~ ( subpopulations @ SV5 @ SV7 @ SV2 @ SY20 )
| ~ ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) )
| ~ ( constant @ ( resources @ SV2 @ SY20 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SY20 ) @ ( disbanding_rate @ SV7 @ SY20 ) ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(60,plain,
! [SV8: $i,SV1: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( subpopulations @ SV4 @ SV6 @ SV1 @ SV8 )
| ~ ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) )
| ~ ( decreases @ ( resources @ SV1 @ SV8 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SV8 ) @ ( disbanding_rate @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV9: $i,SV2: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ SV5 @ SV7 @ SV2 @ SV9 )
| ~ ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) )
| ~ ( constant @ ( resources @ SV2 @ SV9 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SV9 ) @ ( disbanding_rate @ SV7 @ SV9 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV8: $i,SV1: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( subpopulations @ SV4 @ SV6 @ SV1 @ SV8 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) )
| ~ ( decreases @ ( resources @ SV1 @ SV8 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SV8 ) @ ( disbanding_rate @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV9: $i,SV2: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ SV5 @ SV7 @ SV2 @ SV9 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) )
| ~ ( constant @ ( resources @ SV2 @ SV9 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SV9 ) @ ( disbanding_rate @ SV7 @ SV9 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV8: $i,SV1: $i,SV6: $i,SV4: $i] :
( ( ( subpopulations @ SV4 @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( ~ ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) )
| ~ ( decreases @ ( resources @ SV1 @ SV8 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SV8 ) @ ( disbanding_rate @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV9: $i,SV2: $i,SV7: $i,SV5: $i] :
( ( ( subpopulations @ SV5 @ SV7 @ SV2 @ SV9 )
= $false )
| ( ( ~ ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) )
| ~ ( constant @ ( resources @ SV2 @ SV9 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SV9 ) @ ( disbanding_rate @ SV7 @ SV9 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV8: $i,SV1: $i,SV4: $i,SV6: $i] :
( ( ( ~ ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV1 @ SV8 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SV8 ) @ ( disbanding_rate @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( subpopulations @ SV4 @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV9: $i,SV2: $i,SV5: $i,SV7: $i] :
( ( ( ~ ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV9 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SV9 ) @ ( disbanding_rate @ SV7 @ SV9 ) ) ) )
= $true )
| ( ( subpopulations @ SV5 @ SV7 @ SV2 @ SV9 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV8: $i,SV1: $i,SV4: $i,SV6: $i] :
( ( ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) )
= $false )
| ( ( ~ ( decreases @ ( resources @ SV1 @ SV8 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SV8 ) @ ( disbanding_rate @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( subpopulations @ SV4 @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(69,plain,
! [SV9: $i,SV2: $i,SV5: $i,SV7: $i] :
( ( ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) )
= $false )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV9 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SV9 ) @ ( disbanding_rate @ SV7 @ SV9 ) ) ) )
= $true )
| ( ( subpopulations @ SV5 @ SV7 @ SV2 @ SV9 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(70,plain,
! [SV6: $i,SV4: $i,SV8: $i,SV1: $i] :
( ( ( ~ ( decreases @ ( resources @ SV1 @ SV8 ) ) )
= $true )
| ( ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SV8 ) @ ( disbanding_rate @ SV6 @ SV8 ) ) )
= $true )
| ( ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) )
= $false )
| ( ( subpopulations @ SV4 @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(71,plain,
! [SV7: $i,SV5: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( constant @ ( resources @ SV2 @ SV9 ) ) )
= $true )
| ( ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SV9 ) @ ( disbanding_rate @ SV7 @ SV9 ) ) )
= $true )
| ( ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) )
= $false )
| ( ( subpopulations @ SV5 @ SV7 @ SV2 @ SV9 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(72,plain,
! [SV6: $i,SV4: $i,SV8: $i,SV1: $i] :
( ( ( decreases @ ( resources @ SV1 @ SV8 ) )
= $false )
| ( ( increases @ ( difference @ ( disbanding_rate @ SV4 @ SV8 ) @ ( disbanding_rate @ SV6 @ SV8 ) ) )
= $true )
| ( ( greater @ ( resilience @ SV6 ) @ ( resilience @ SV4 ) )
= $false )
| ( ( subpopulations @ SV4 @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV7: $i,SV5: $i,SV9: $i,SV2: $i] :
( ( ( constant @ ( resources @ SV2 @ SV9 ) )
= $false )
| ( ( constant @ ( difference @ ( disbanding_rate @ SV5 @ SV9 ) @ ( disbanding_rate @ SV7 @ SV9 ) ) )
= $true )
| ( ( greater @ ( resilience @ SV7 ) @ ( resilience @ SV5 ) )
= $false )
| ( ( subpopulations @ SV5 @ SV7 @ SV2 @ SV9 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(74,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,73,72,57,48,47,46,40,39,36,29]) ).
thf(75,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 9 07:33:51 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34
% 0.11/0.34 No.of.Axioms: 10
% 0.11/0.34
% 0.11/0.34 Length.of.Defs: 0
% 0.11/0.34
% 0.11/0.34 Contains.Choice.Funs: false
% 0.11/0.34 (rf:0,axioms:10,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:12,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.18/0.39
% 0.18/0.39 ********************************
% 0.18/0.39 * All subproblems solved! *
% 0.18/0.39 ********************************
% 0.18/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:74,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.40
% 0.18/0.40 %**** Beginning of derivation protocol ****
% 0.18/0.40 % SZS output start CNFRefutation
% See solution above
% 0.18/0.40
% 0.18/0.40 %**** End of derivation protocol ****
% 0.18/0.40 %**** no. of clauses in derivation: 75 ****
% 0.18/0.40 %**** clause counter: 74 ****
% 0.18/0.40
% 0.18/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:74,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------