TSTP Solution File: MGT022+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 128 ( 73 unt; 14 typ; 0 def)
% Number of atoms : 884 ( 207 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 2415 ( 302 ~; 303 |; 24 &;1757 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 286 ( 0 ^ 286 !; 0 ?; 286 :)
% 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_E,type,
sK1_E: $i ).
thf(tp_sK2_SY7,type,
sK2_SY7: $i ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(1,axiom,
! [X: $i] :
( ( constant @ X )
=> ~ ( decreases @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease) ).
thf(2,axiom,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
thf(3,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ( increases @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).
thf(4,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4) ).
thf(5,negated_conjecture,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [X: $i] :
( ( constant @ X )
=> ~ ( decreases @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ( increases @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [SY7: $i] :
( ( ( environment @ sK1_E )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ SY7 ) )
=> ( ( ( decreases @ ( resources @ sK1_E @ SY7 ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ SY7 ) @ ( disbanding_rate @ efficient_producers @ SY7 ) ) ) )
& ( ( constant @ ( resources @ sK1_E @ SY7 ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SY7 ) @ ( disbanding_rate @ efficient_producers @ SY7 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(11,plain,
( ( ( ( environment @ sK1_E )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY7 ) )
=> ( ( ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
& ( ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(12,plain,
( ( environment @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(13,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY7 )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(14,plain,
( ( ( ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
& ( ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(15,plain,
( ( ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[14]) ).
thf(16,plain,
( ( ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[14]) ).
thf(17,plain,
( ( ~ ( ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(19,plain,
( ( ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
& ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(20,plain,
( ( ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
& ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(21,plain,
( ( ! [X: $i] :
( ~ ( constant @ X )
| ~ ( decreases @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(22,plain,
( ( ! [E: $i,S1: $i] :
( ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( decreases @ ( resources @ E @ T ) )
| ( increases @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( constant @ ( resources @ E @ T ) )
| ( constant @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(23,plain,
( ( ! [E: $i,S1: $i] :
( ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( decreases @ ( resources @ E @ T ) )
| ( increases @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( constant @ ( resources @ E @ T ) )
| ( constant @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(24,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(25,plain,
( ( ! [X: $i] :
( ~ ( constant @ X )
| ~ ( decreases @ X ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(26,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY7 )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(27,plain,
( ( environment @ sK1_E )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(28,plain,
( ( ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
& ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(29,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( greater @ ( resilience @ SX2 ) @ ( resilience @ SX1 ) )
| ~ ( decreases @ ( resources @ SX0 @ SX3 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SX1 @ SX3 ) @ ( disbanding_rate @ SX2 @ SX3 ) ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( greater @ ( resilience @ SX2 ) @ ( resilience @ SX1 ) )
| ~ ( constant @ ( resources @ SX0 @ SX3 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SX1 @ SX3 ) @ ( disbanding_rate @ SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(30,plain,
( ( ~ ( ~ ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
| ~ ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(31,plain,
! [SV1: $i] :
( ( ~ ( constant @ SV1 )
| ~ ( decreases @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(32,plain,
! [SV2: $i] :
( ( ! [SY8: $i] :
~ ( ~ ! [SY9: $i,SY10: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SY8 @ SY9 @ SV2 @ SY10 )
| ~ ( greater @ ( resilience @ SY9 ) @ ( resilience @ SY8 ) )
| ~ ( decreases @ ( resources @ SV2 @ SY10 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SY8 @ SY10 ) @ ( disbanding_rate @ SY9 @ SY10 ) ) ) )
| ~ ! [SY11: $i,SY12: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SY8 @ SY11 @ SV2 @ SY12 )
| ~ ( greater @ ( resilience @ SY11 ) @ ( resilience @ SY8 ) )
| ~ ( constant @ ( resources @ SV2 @ SY12 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SY8 @ SY12 ) @ ( disbanding_rate @ SY11 @ SY12 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ~ ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
| ~ ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV1: $i] :
( ( ( ~ ( constant @ SV1 ) )
= $true )
| ( ( ~ ( decreases @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: $i,SV2: $i] :
( ( ~ ( ~ ! [SY13: $i,SY14: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY13 @ SV2 @ SY14 )
| ~ ( greater @ ( resilience @ SY13 ) @ ( resilience @ SV3 ) )
| ~ ( decreases @ ( resources @ SV2 @ SY14 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SY14 ) @ ( disbanding_rate @ SY13 @ SY14 ) ) ) )
| ~ ! [SY15: $i,SY16: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY15 @ SV2 @ SY16 )
| ~ ( greater @ ( resilience @ SY15 ) @ ( resilience @ SV3 ) )
| ~ ( constant @ ( resources @ SV2 @ SY16 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SY16 ) @ ( disbanding_rate @ SY15 @ SY16 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
( ( ~ ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
( ( ~ ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: $i] :
( ( ( constant @ SV1 )
= $false )
| ( ( ~ ( decreases @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV3: $i,SV2: $i] :
( ( ~ ! [SY13: $i,SY14: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY13 @ SV2 @ SY14 )
| ~ ( greater @ ( resilience @ SY13 ) @ ( resilience @ SV3 ) )
| ~ ( decreases @ ( resources @ SV2 @ SY14 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SY14 ) @ ( disbanding_rate @ SY13 @ SY14 ) ) ) )
| ~ ! [SY15: $i,SY16: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY15 @ SV2 @ SY16 )
| ~ ( greater @ ( resilience @ SY15 ) @ ( resilience @ SV3 ) )
| ~ ( constant @ ( resources @ SV2 @ SY16 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SY16 ) @ ( disbanding_rate @ SY15 @ SY16 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( decreases @ ( resources @ sK1_E @ sK2_SY7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: $i] :
( ( ( decreases @ SV1 )
= $false )
| ( ( constant @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: $i,SV2: $i] :
( ( ~ ! [SY13: $i,SY14: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY13 @ SV2 @ SY14 )
| ~ ( greater @ ( resilience @ SY13 ) @ ( resilience @ SV3 ) )
| ~ ( decreases @ ( resources @ SV2 @ SY14 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SY14 ) @ ( disbanding_rate @ SY13 @ SY14 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV3: $i,SV2: $i] :
( ( ~ ! [SY15: $i,SY16: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY15 @ SV2 @ SY16 )
| ~ ( greater @ ( resilience @ SY15 ) @ ( resilience @ SV3 ) )
| ~ ( constant @ ( resources @ SV2 @ SY16 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SY16 ) @ ( disbanding_rate @ SY15 @ SY16 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY13: $i,SY14: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY13 @ SV2 @ SY14 )
| ~ ( greater @ ( resilience @ SY13 ) @ ( resilience @ SV3 ) )
| ~ ( decreases @ ( resources @ SV2 @ SY14 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SY14 ) @ ( disbanding_rate @ SY13 @ SY14 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SY15 @ SV2 @ SY16 )
| ~ ( greater @ ( resilience @ SY15 ) @ ( resilience @ SV3 ) )
| ~ ( constant @ ( resources @ SV2 @ SY16 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SY16 ) @ ( disbanding_rate @ SY15 @ SY16 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ! [SY17: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV4 @ SV2 @ SY17 )
| ~ ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) )
| ~ ( decreases @ ( resources @ SV2 @ SY17 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SY17 ) @ ( disbanding_rate @ SV4 @ SY17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV5: $i,SV3: $i,SV2: $i] :
( ( ! [SY18: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV5 @ SV2 @ SY18 )
| ~ ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) )
| ~ ( constant @ ( resources @ SV2 @ SY18 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SY18 ) @ ( disbanding_rate @ SV5 @ SY18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV6: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 )
| ~ ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) )
| ~ ( decreases @ ( resources @ SV2 @ SV6 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 )
| ~ ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) )
| ~ ( constant @ ( resources @ SV2 @ SV7 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV6: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 )
| ~ ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV2 @ SV6 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(53,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 )
| ~ ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV7 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(54,plain,
! [SV6: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV2 @ SV6 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV7 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(56,plain,
! [SV6: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV2 @ SV6 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(57,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV7 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(58,plain,
! [SV6: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV2 @ SV6 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV7 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV6: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( ~ ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV2 @ SV6 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV7: $i,SV2: $i,SV5: $i,SV3: $i] :
( ( ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( ~ ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV7 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV6: $i,SV2: $i,SV3: $i,SV4: $i] :
( ( ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 )
= $false )
| ( ( ~ ( decreases @ ( resources @ SV2 @ SV6 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV7: $i,SV2: $i,SV3: $i,SV5: $i] :
( ( ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 )
= $false )
| ( ( ~ ( constant @ ( resources @ SV2 @ SV7 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV4: $i,SV3: $i,SV6: $i,SV2: $i] :
( ( ( ~ ( decreases @ ( resources @ SV2 @ SV6 ) ) )
= $true )
| ( ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) )
= $true )
| ( ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV5: $i,SV3: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( constant @ ( resources @ SV2 @ SV7 ) ) )
= $true )
| ( ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) )
= $true )
| ( ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV4: $i,SV3: $i,SV6: $i,SV2: $i] :
( ( ( decreases @ ( resources @ SV2 @ SV6 ) )
= $false )
| ( ( increases @ ( difference @ ( disbanding_rate @ SV3 @ SV6 ) @ ( disbanding_rate @ SV4 @ SV6 ) ) )
= $true )
| ( ( subpopulations @ SV3 @ SV4 @ SV2 @ SV6 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( greater @ ( resilience @ SV4 ) @ ( resilience @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV5: $i,SV3: $i,SV7: $i,SV2: $i] :
( ( ( constant @ ( resources @ SV2 @ SV7 ) )
= $false )
| ( ( constant @ ( difference @ ( disbanding_rate @ SV3 @ SV7 ) @ ( disbanding_rate @ SV5 @ SV7 ) ) )
= $true )
| ( ( subpopulations @ SV3 @ SV5 @ SV2 @ SV7 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( greater @ ( resilience @ SV5 ) @ ( resilience @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,67,66,45,42,40,27,26]) ).
thf(69,plain,
( ( ! [E: $i,S1: $i] :
( ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( decreases @ ( resources @ E @ T ) )
| ( increases @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( constant @ ( resources @ E @ T ) )
| ( constant @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(70,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(71,plain,
( ( ! [X: $i] :
( ~ ( constant @ X )
| ~ ( decreases @ X ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(72,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY7 )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(73,plain,
( ( environment @ sK1_E )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(74,plain,
( ( ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
& ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(75,plain,
( ( ~ ( ~ ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( greater @ ( resilience @ SX2 ) @ ( resilience @ SX1 ) )
| ~ ( decreases @ ( resources @ SX0 @ SX3 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SX1 @ SX3 ) @ ( disbanding_rate @ SX2 @ SX3 ) ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( greater @ ( resilience @ SX2 ) @ ( resilience @ SX1 ) )
| ~ ( constant @ ( resources @ SX0 @ SX3 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SX1 @ SX3 ) @ ( disbanding_rate @ SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(77,plain,
! [SV8: $i] :
( ( ~ ( constant @ SV8 )
| ~ ( decreases @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(78,plain,
( ( ~ ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV9: $i] :
( ( ! [SY19: $i] :
~ ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SY19 @ SY20 @ SV9 @ SY21 )
| ~ ( greater @ ( resilience @ SY20 ) @ ( resilience @ SY19 ) )
| ~ ( decreases @ ( resources @ SV9 @ SY21 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SY19 @ SY21 ) @ ( disbanding_rate @ SY20 @ SY21 ) ) ) )
| ~ ! [SY22: $i,SY23: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SY19 @ SY22 @ SV9 @ SY23 )
| ~ ( greater @ ( resilience @ SY22 ) @ ( resilience @ SY19 ) )
| ~ ( constant @ ( resources @ SV9 @ SY23 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SY19 @ SY23 ) @ ( disbanding_rate @ SY22 @ SY23 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(80,plain,
! [SV8: $i] :
( ( ( ~ ( constant @ SV8 ) )
= $true )
| ( ( ~ ( decreases @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(81,plain,
( ( ~ ( constant @ ( resources @ sK1_E @ sK2_SY7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(83,plain,
! [SV10: $i,SV9: $i] :
( ( ~ ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY24 @ SV9 @ SY25 )
| ~ ( greater @ ( resilience @ SY24 ) @ ( resilience @ SV10 ) )
| ~ ( decreases @ ( resources @ SV9 @ SY25 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SY25 ) @ ( disbanding_rate @ SY24 @ SY25 ) ) ) )
| ~ ! [SY26: $i,SY27: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY26 @ SV9 @ SY27 )
| ~ ( greater @ ( resilience @ SY26 ) @ ( resilience @ SV10 ) )
| ~ ( constant @ ( resources @ SV9 @ SY27 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SY27 ) @ ( disbanding_rate @ SY26 @ SY27 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV8: $i] :
( ( ( constant @ SV8 )
= $false )
| ( ( ~ ( decreases @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(85,plain,
( ( constant @ ( resources @ sK1_E @ sK2_SY7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(86,plain,
( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sK2_SY7 ) @ ( disbanding_rate @ efficient_producers @ sK2_SY7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV10: $i,SV9: $i] :
( ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY24 @ SV9 @ SY25 )
| ~ ( greater @ ( resilience @ SY24 ) @ ( resilience @ SV10 ) )
| ~ ( decreases @ ( resources @ SV9 @ SY25 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SY25 ) @ ( disbanding_rate @ SY24 @ SY25 ) ) ) )
| ~ ! [SY26: $i,SY27: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY26 @ SV9 @ SY27 )
| ~ ( greater @ ( resilience @ SY26 ) @ ( resilience @ SV10 ) )
| ~ ( constant @ ( resources @ SV9 @ SY27 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SY27 ) @ ( disbanding_rate @ SY26 @ SY27 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV8: $i] :
( ( ( decreases @ SV8 )
= $false )
| ( ( constant @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV10: $i,SV9: $i] :
( ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY24 @ SV9 @ SY25 )
| ~ ( greater @ ( resilience @ SY24 ) @ ( resilience @ SV10 ) )
| ~ ( decreases @ ( resources @ SV9 @ SY25 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SY25 ) @ ( disbanding_rate @ SY24 @ SY25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(90,plain,
! [SV10: $i,SV9: $i] :
( ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY26 @ SV9 @ SY27 )
| ~ ( greater @ ( resilience @ SY26 ) @ ( resilience @ SV10 ) )
| ~ ( constant @ ( resources @ SV9 @ SY27 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SY27 ) @ ( disbanding_rate @ SY26 @ SY27 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(91,plain,
! [SV10: $i,SV9: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY24 @ SV9 @ SY25 )
| ~ ( greater @ ( resilience @ SY24 ) @ ( resilience @ SV10 ) )
| ~ ( decreases @ ( resources @ SV9 @ SY25 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SY25 ) @ ( disbanding_rate @ SY24 @ SY25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(92,plain,
! [SV10: $i,SV9: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SY26 @ SV9 @ SY27 )
| ~ ( greater @ ( resilience @ SY26 ) @ ( resilience @ SV10 ) )
| ~ ( constant @ ( resources @ SV9 @ SY27 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SY27 ) @ ( disbanding_rate @ SY26 @ SY27 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(93,plain,
! [SV11: $i,SV10: $i,SV9: $i] :
( ( ! [SY28: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV11 @ SV9 @ SY28 )
| ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) )
| ~ ( decreases @ ( resources @ SV9 @ SY28 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SY28 ) @ ( disbanding_rate @ SV11 @ SY28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(94,plain,
! [SV12: $i,SV10: $i,SV9: $i] :
( ( ! [SY29: $i] :
( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV12 @ SV9 @ SY29 )
| ~ ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) )
| ~ ( constant @ ( resources @ SV9 @ SY29 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SY29 ) @ ( disbanding_rate @ SV12 @ SY29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(95,plain,
! [SV13: $i,SV11: $i,SV10: $i,SV9: $i] :
( ( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 )
| ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) )
| ~ ( decreases @ ( resources @ SV9 @ SV13 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(96,plain,
! [SV14: $i,SV12: $i,SV10: $i,SV9: $i] :
( ( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 )
| ~ ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) )
| ~ ( constant @ ( resources @ SV9 @ SV14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV13: $i,SV11: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 )
| ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV9 @ SV13 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(98,plain,
! [SV14: $i,SV12: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 )
| ~ ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV9 @ SV14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(99,plain,
! [SV13: $i,SV11: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV9 @ SV13 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(100,plain,
! [SV14: $i,SV12: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 )
| ~ ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV9 @ SV14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(101,plain,
! [SV13: $i,SV11: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ~ ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV9 @ SV13 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(102,plain,
! [SV14: $i,SV12: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ~ ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV9 @ SV14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(103,plain,
! [SV13: $i,SV11: $i,SV10: $i,SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ~ ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV9 @ SV13 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(104,plain,
! [SV14: $i,SV12: $i,SV10: $i,SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ~ ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV9 @ SV14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(105,plain,
! [SV13: $i,SV9: $i,SV11: $i,SV10: $i] :
( ( ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV9 @ SV13 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(106,plain,
! [SV14: $i,SV9: $i,SV12: $i,SV10: $i] :
( ( ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( ~ ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV9 @ SV14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(107,plain,
! [SV13: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 )
= $false )
| ( ( ~ ( decreases @ ( resources @ SV9 @ SV13 ) )
| ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(108,plain,
! [SV14: $i,SV9: $i,SV10: $i,SV12: $i] :
( ( ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 )
= $false )
| ( ( ~ ( constant @ ( resources @ SV9 @ SV14 ) )
| ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(109,plain,
! [SV11: $i,SV10: $i,SV13: $i,SV9: $i] :
( ( ( ~ ( decreases @ ( resources @ SV9 @ SV13 ) ) )
= $true )
| ( ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) )
= $true )
| ( ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(110,plain,
! [SV12: $i,SV10: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( constant @ ( resources @ SV9 @ SV14 ) ) )
= $true )
| ( ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) )
= $true )
| ( ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(111,plain,
! [SV11: $i,SV10: $i,SV13: $i,SV9: $i] :
( ( ( decreases @ ( resources @ SV9 @ SV13 ) )
= $false )
| ( ( increases @ ( difference @ ( disbanding_rate @ SV10 @ SV13 ) @ ( disbanding_rate @ SV11 @ SV13 ) ) )
= $true )
| ( ( subpopulations @ SV10 @ SV11 @ SV9 @ SV13 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(112,plain,
! [SV12: $i,SV10: $i,SV14: $i,SV9: $i] :
( ( ( constant @ ( resources @ SV9 @ SV14 ) )
= $false )
| ( ( constant @ ( difference @ ( disbanding_rate @ SV10 @ SV14 ) @ ( disbanding_rate @ SV12 @ SV14 ) ) )
= $true )
| ( ( subpopulations @ SV10 @ SV12 @ SV9 @ SV14 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( greater @ ( resilience @ SV12 ) @ ( resilience @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,112,111,88,86,85,73,72]) ).
thf(114,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[113,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n029.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 : 600
% 0.12/0.33 % DateTime : Thu Jun 9 11:37:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 3
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.19/0.45
% 0.19/0.45 ********************************
% 0.19/0.45 * All subproblems solved! *
% 0.19/0.45 ********************************
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:113,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.46
% 0.19/0.46 %**** Beginning of derivation protocol ****
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
% 0.19/0.46
% 0.19/0.46 %**** End of derivation protocol ****
% 0.19/0.46 %**** no. of clauses in derivation: 114 ****
% 0.19/0.46 %**** clause counter: 113 ****
% 0.19/0.46
% 0.19/0.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:113,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------