TSTP Solution File: MGT036+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT036+2 : 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 : n027.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 22:17:24 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 151 ( 83 unt; 13 typ; 0 def)
% Number of atoms : 1069 ( 238 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 2722 ( 432 ~; 405 |; 31 &;1835 @)
% ( 4 <=>; 15 =>; 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 : 16 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 517 ( 0 ^ 517 !; 0 ?; 517 :)
% Comments :
%------------------------------------------------------------------------------
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_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_growth_rate,type,
growth_rate: $i > $i > $i ).
thf(tp_in_environment,type,
in_environment: $i > $i > $o ).
thf(tp_outcompetes,type,
outcompetes: $i > $i > $i > $o ).
thf(tp_resilience,type,
resilience: $i > $i ).
thf(tp_sK1_E,type,
sK1_E: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( greater_or_equal @ ( growth_rate @ S1 @ T ) @ zero ) )
<=> ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships) ).
thf(2,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
thf(3,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( subpopulations @ S2 @ S1 @ E @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
thf(4,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13) ).
thf(5,axiom,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
thf(6,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
<=> ( outcompetes @ S2 @ S1 @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
thf(7,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ~ ( outcompetes @ first_movers @ efficient_producers @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5) ).
thf(8,negated_conjecture,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ~ ( outcompetes @ first_movers @ efficient_producers @ T ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ~ ( outcompetes @ first_movers @ efficient_producers @ T ) ) )
= $false ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( greater_or_equal @ ( growth_rate @ S1 @ T ) @ zero ) )
<=> ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( subpopulations @ S2 @ S1 @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
<=> ( outcompetes @ S2 @ S1 @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ! [SY20: $i] :
( ( ( environment @ sK1_E )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ SY20 ) )
=> ~ ( outcompetes @ first_movers @ efficient_producers @ SY20 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(17,plain,
( ( ( ( environment @ sK1_E )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY20 ) )
=> ~ ( outcompetes @ first_movers @ efficient_producers @ sK2_SY20 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(18,plain,
( ( environment @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(19,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY20 )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( outcompetes @ first_movers @ efficient_producers @ sK2_SY20 ) )
= $false ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(21,plain,
( ( outcompetes @ first_movers @ efficient_producers @ sK2_SY20 )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(22,plain,
( ( ! [E: $i,S1: $i] :
( ( ( environment @ E )
| ! [T: $i] :
~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [T: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ S1 @ T ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ( greater_or_equal @ ( growth_rate @ S1 @ T ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(23,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(24,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ( subpopulations @ S2 @ S1 @ E @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(25,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(26,plain,
( ( ! [E: $i,S1: $i] :
( ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
| ( outcompetes @ S2 @ S1 @ T ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(27,plain,
( ( ! [E: $i,S1: $i] :
( ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
| ( outcompetes @ S2 @ S1 @ T ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(28,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(29,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(30,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ( subpopulations @ S2 @ S1 @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(31,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(32,plain,
( ( ! [E: $i,S1: $i] :
( ( ( environment @ E )
| ! [T: $i] :
~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [T: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ S1 @ T ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ( greater_or_equal @ ( growth_rate @ S1 @ T ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(33,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY20 )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(34,plain,
( ( environment @ sK1_E )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(35,plain,
( ( outcompetes @ first_movers @ efficient_producers @ sK2_SY20 )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(36,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SX2 @ SX3 ) @ zero )
| ( outcompetes @ SX2 @ SX1 @ SX3 ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( outcompetes @ SX2 @ SX1 @ SX3 )
| ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( outcompetes @ SX2 @ SX1 @ SX3 )
| ( greater_or_equal @ ( growth_rate @ SX2 @ SX3 ) @ zero ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(37,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( ( environment @ SX0 )
| ! [SX2: $i] :
~ ( greater @ zero @ ( growth_rate @ SX1 @ SX2 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SX1 @ SX2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SX1 @ SX2 ) ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) )
| ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ( greater_or_equal @ ( growth_rate @ SX1 @ SX3 ) @ zero ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(38,plain,
! [SV1: $i] :
( ( ! [SY21: $i,SY22: $i,SY23: $i] :
( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SY23 )
| ( greater @ zero @ ( growth_rate @ SY21 @ SY23 ) )
| ~ ( greater @ ( resilience @ SY22 ) @ ( resilience @ SY21 ) )
| ~ ( greater @ zero @ ( growth_rate @ SY22 @ SY23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(39,plain,
! [SV2: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SY24 @ SY25 @ SV2 @ SY26 )
| ( subpopulations @ SY25 @ SY24 @ SV2 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(40,plain,
! [SV3: $i] :
( ( ! [SY27: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SY27 )
| ( in_environment @ SV3 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(41,plain,
! [SV4: $i] :
( ( ! [SY28: $i] :
~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SY28 @ SY29 @ SV4 @ SY30 )
| ~ ( greater @ zero @ ( growth_rate @ SY28 @ SY30 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY29 @ SY30 ) @ zero )
| ( outcompetes @ SY29 @ SY28 @ SY30 ) )
| ~ ~ ( ~ ! [SY31: $i,SY32: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SY28 @ SY31 @ SV4 @ SY32 )
| ~ ( outcompetes @ SY31 @ SY28 @ SY32 )
| ( greater @ zero @ ( growth_rate @ SY28 @ SY32 ) ) )
| ~ ! [SY33: $i,SY34: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SY28 @ SY33 @ SV4 @ SY34 )
| ~ ( outcompetes @ SY33 @ SY28 @ SY34 )
| ( greater_or_equal @ ( growth_rate @ SY33 @ SY34 ) @ zero ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV5: $i] :
( ( ! [SY35: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( ( environment @ SV5 )
| ! [SX2: $i] :
~ ( greater @ zero @ ( growth_rate @ SY35 @ SX2 ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ( subpopulations @ SY35 @ SY37 @ SV5 @ SY38 )
| ~ ( greater @ zero @ ( growth_rate @ SY35 @ SY38 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SY35 @ SX2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SY35 @ SX2 ) ) ) )
| ~ ! [SY40: $i,SY41: $i] :
( ( greater @ zero @ ( growth_rate @ SY35 @ SY41 ) )
| ~ ( environment @ SV5 )
| ~ ( subpopulations @ SY35 @ SY40 @ SV5 @ SY41 )
| ( greater_or_equal @ ( growth_rate @ SY35 @ SY41 ) @ zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SY43 )
| ( greater @ zero @ ( growth_rate @ SV6 @ SY43 ) )
| ~ ( greater @ ( resilience @ SY42 ) @ ( resilience @ SV6 ) )
| ~ ( greater @ zero @ ( growth_rate @ SY42 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV7: $i,SV2: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV7 @ SY44 @ SV2 @ SY45 )
| ( subpopulations @ SY44 @ SV7 @ SV2 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV8: $i,SV3: $i] :
( ( ~ ( environment @ SV3 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV8 )
| ( in_environment @ SV3 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY46 @ SV4 @ SY47 )
| ~ ( greater @ zero @ ( growth_rate @ SV9 @ SY47 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY46 @ SY47 ) @ zero )
| ( outcompetes @ SY46 @ SV9 @ SY47 ) )
| ~ ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY48 @ SV4 @ SY49 )
| ~ ( outcompetes @ SY48 @ SV9 @ SY49 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY49 ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY50 @ SV4 @ SY51 )
| ~ ( outcompetes @ SY50 @ SV9 @ SY51 )
| ( greater_or_equal @ ( growth_rate @ SY50 @ SY51 ) @ zero ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SY55 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY55 ) ) ) )
| ~ ! [SY56: $i,SY57: $i] :
( ( greater @ zero @ ( growth_rate @ SV10 @ SY57 ) )
| ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SY56 @ SV5 @ SY57 )
| ( greater_or_equal @ ( growth_rate @ SV10 @ SY57 ) @ zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ! [SY58: $i] :
( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SY58 )
| ( greater @ zero @ ( growth_rate @ SV6 @ SY58 ) )
| ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) )
| ~ ( greater @ zero @ ( growth_rate @ SV11 @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ! [SY59: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV7 @ SV12 @ SV2 @ SY59 )
| ( subpopulations @ SV12 @ SV7 @ SV2 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV8 ) )
= $true )
| ( ( in_environment @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY46 @ SV4 @ SY47 )
| ~ ( greater @ zero @ ( growth_rate @ SV9 @ SY47 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY46 @ SY47 ) @ zero )
| ( outcompetes @ SY46 @ SV9 @ SY47 ) )
| ~ ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY48 @ SV4 @ SY49 )
| ~ ( outcompetes @ SY48 @ SV9 @ SY49 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY49 ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY50 @ SV4 @ SY51 )
| ~ ( outcompetes @ SY50 @ SV9 @ SY51 )
| ( greater_or_equal @ ( growth_rate @ SY50 @ SY51 ) @ zero ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SY55 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY55 ) ) ) )
| ~ ! [SY56: $i,SY57: $i] :
( ( greater @ zero @ ( growth_rate @ SV10 @ SY57 ) )
| ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SY56 @ SV5 @ SY57 )
| ( greater_or_equal @ ( growth_rate @ SV10 @ SY57 ) @ zero ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV11: $i,SV6: $i,SV13: $i,SV1: $i] :
( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV13 )
| ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
| ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) )
| ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV14: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV7 @ SV12 @ SV2 @ SV14 )
| ( subpopulations @ SV12 @ SV7 @ SV2 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV8 ) )
= $true )
| ( ( in_environment @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY46 @ SV4 @ SY47 )
| ~ ( greater @ zero @ ( growth_rate @ SV9 @ SY47 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY46 @ SY47 ) @ zero )
| ( outcompetes @ SY46 @ SV9 @ SY47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY48 @ SV4 @ SY49 )
| ~ ( outcompetes @ SY48 @ SV9 @ SY49 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY49 ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY50 @ SV4 @ SY51 )
| ~ ( outcompetes @ SY50 @ SV9 @ SY51 )
| ( greater_or_equal @ ( growth_rate @ SY50 @ SY51 ) @ zero ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SY55 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY55 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV5: $i,SV10: $i] :
( ( ~ ! [SY56: $i,SY57: $i] :
( ( greater @ zero @ ( growth_rate @ SV10 @ SY57 ) )
| ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SY56 @ SV5 @ SY57 )
| ( greater_or_equal @ ( growth_rate @ SV10 @ SY57 ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV11: $i,SV6: $i,SV13: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV13 )
| ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
| ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV14: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ SV7 @ SV12 @ SV2 @ SV14 ) )
= $true )
| ( ( subpopulations @ SV12 @ SV7 @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV8: $i,SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV8 ) )
= $true )
| ( ( in_environment @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY46 @ SV4 @ SY47 )
| ~ ( greater @ zero @ ( growth_rate @ SV9 @ SY47 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY46 @ SY47 ) @ zero )
| ( outcompetes @ SY46 @ SV9 @ SY47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY48 @ SV4 @ SY49 )
| ~ ( outcompetes @ SY48 @ SV9 @ SY49 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY49 ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY50 @ SV4 @ SY51 )
| ~ ( outcompetes @ SY50 @ SV9 @ SY51 )
| ( greater_or_equal @ ( growth_rate @ SY50 @ SY51 ) @ zero ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( ~ ~ ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SY55 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY55 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV5: $i,SV10: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ( greater @ zero @ ( growth_rate @ SV10 @ SY57 ) )
| ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SY56 @ SV5 @ SY57 )
| ( greater_or_equal @ ( growth_rate @ SV10 @ SY57 ) @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV11: $i,SV6: $i,SV13: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV13 )
| ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV14: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( subpopulations @ SV7 @ SV12 @ SV2 @ SV14 ) )
= $true )
| ( ( subpopulations @ SV12 @ SV7 @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV8: $i,SV3: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV8 )
= $false )
| ( ( environment @ SV3 )
= $false )
| ( ( in_environment @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV15: $i,SV9: $i,SV4: $i] :
( ( ! [SY60: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV15 @ SV4 @ SY60 )
| ~ ( greater @ zero @ ( growth_rate @ SV9 @ SY60 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SY60 ) @ zero )
| ( outcompetes @ SV15 @ SV9 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY48 @ SV4 @ SY49 )
| ~ ( outcompetes @ SY48 @ SV9 @ SY49 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY49 ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY50 @ SV4 @ SY51 )
| ~ ( outcompetes @ SY50 @ SV9 @ SY51 )
| ( greater_or_equal @ ( growth_rate @ SY50 @ SY51 ) @ zero ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ~ ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SY55 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY55 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV16: $i,SV5: $i,SV10: $i] :
( ( ! [SY61: $i] :
( ( greater @ zero @ ( growth_rate @ SV10 @ SY61 ) )
| ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SV16 @ SV5 @ SY61 )
| ( greater_or_equal @ ( growth_rate @ SV10 @ SY61 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV11: $i,SV6: $i,SV13: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV13 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV14: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( subpopulations @ SV7 @ SV12 @ SV2 @ SV14 ) )
= $true )
| ( ( subpopulations @ SV12 @ SV7 @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV17: $i,SV15: $i,SV9: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 )
| ~ ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero )
| ( outcompetes @ SV15 @ SV9 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY48 @ SV4 @ SY49 )
| ~ ( outcompetes @ SY48 @ SV9 @ SY49 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY49 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY50 @ SV4 @ SY51 )
| ~ ( outcompetes @ SY50 @ SV9 @ SY51 )
| ( greater_or_equal @ ( growth_rate @ SY50 @ SY51 ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ~ ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV10: $i] :
( ( ~ ! [SY55: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SY55 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY55 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(81,plain,
! [SV16: $i,SV5: $i,SV18: $i,SV10: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV10 @ SV18 ) )
| ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SV16 @ SV5 @ SV18 )
| ( greater_or_equal @ ( growth_rate @ SV10 @ SV18 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV11: $i,SV6: $i,SV13: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( in_environment @ SV1 @ SV13 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV14: $i,SV2: $i,SV12: $i,SV7: $i] :
( ( ( subpopulations @ SV7 @ SV12 @ SV2 @ SV14 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( subpopulations @ SV12 @ SV7 @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV17: $i,SV15: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero )
| ( outcompetes @ SV15 @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY48 @ SV4 @ SY49 )
| ~ ( outcompetes @ SY48 @ SV9 @ SY49 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY49 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SY50 @ SV4 @ SY51 )
| ~ ( outcompetes @ SY50 @ SV9 @ SY51 )
| ( greater_or_equal @ ( growth_rate @ SY50 @ SY51 ) @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(87,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(88,plain,
! [SV10: $i] :
( ( ! [SY55: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SY55 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY55 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(89,plain,
! [SV16: $i,SV5: $i,SV18: $i,SV10: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV10 @ SV18 ) )
= $true )
| ( ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SV16 @ SV5 @ SV18 )
| ( greater_or_equal @ ( growth_rate @ SV10 @ SV18 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(90,plain,
! [SV11: $i,SV6: $i,SV13: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( in_environment @ SV1 @ SV13 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(91,plain,
! [SV17: $i,SV15: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero )
| ( outcompetes @ SV15 @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(92,plain,
! [SV19: $i,SV9: $i,SV4: $i] :
( ( ! [SY62: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV19 @ SV4 @ SY62 )
| ~ ( outcompetes @ SV19 @ SV9 @ SY62 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(93,plain,
! [SV20: $i,SV9: $i,SV4: $i] :
( ( ! [SY63: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV20 @ SV4 @ SY63 )
| ~ ( outcompetes @ SV20 @ SV9 @ SY63 )
| ( greater_or_equal @ ( growth_rate @ SV20 @ SY63 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(94,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(95,plain,
! [SV21: $i,SV10: $i] :
( ( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SV21 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV18: $i,SV16: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV10 @ SV16 @ SV5 @ SV18 ) )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV10 @ SV18 ) @ zero )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(97,plain,
! [SV11: $i,SV6: $i,SV13: $i,SV1: $i] :
( ( ( in_environment @ SV1 @ SV13 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(98,plain,
! [SV17: $i,SV15: $i,SV9: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero )
| ( outcompetes @ SV15 @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV22: $i,SV19: $i,SV9: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV19 @ SV4 @ SV22 )
| ~ ( outcompetes @ SV19 @ SV9 @ SV22 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV23: $i,SV20: $i,SV9: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV20 @ SV4 @ SV23 )
| ~ ( outcompetes @ SV20 @ SV9 @ SV23 )
| ( greater_or_equal @ ( growth_rate @ SV20 @ SV23 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(102,plain,
! [SV5: $i,SV10: $i] :
( ( ~ ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV21: $i,SV10: $i] :
( ( ( ~ ( greater_or_equal @ ( growth_rate @ SV10 @ SV21 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(104,plain,
! [SV18: $i,SV16: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( subpopulations @ SV10 @ SV16 @ SV5 @ SV18 ) )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV10 @ SV18 ) @ zero )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(105,plain,
! [SV1: $i,SV13: $i,SV6: $i,SV11: $i] :
( ( ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
= $true )
| ( ( environment @ SV1 )
= $false )
| ( ( in_environment @ SV1 @ SV13 )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV17: $i,SV4: $i,SV15: $i,SV9: $i] :
( ( ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero )
| ( outcompetes @ SV15 @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV22: $i,SV19: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV19 @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( outcompetes @ SV19 @ SV9 @ SV22 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV23: $i,SV20: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV9 @ SV20 @ SV4 @ SV23 ) )
= $true )
| ( ( ~ ( outcompetes @ SV20 @ SV9 @ SV23 )
| ( greater_or_equal @ ( growth_rate @ SV20 @ SV23 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(109,plain,
! [SV10: $i,SV5: $i] :
( ( ( environment @ SV5 )
| ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(110,plain,
! [SV5: $i,SV10: $i] :
( ( ! [SY53: $i,SY54: $i] :
( ( subpopulations @ SV10 @ SY53 @ SV5 @ SY54 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY54 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(111,plain,
! [SV21: $i,SV10: $i] :
( ( ( greater_or_equal @ ( growth_rate @ SV10 @ SV21 ) @ zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV18: $i,SV16: $i,SV10: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( subpopulations @ SV10 @ SV16 @ SV5 @ SV18 ) )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV10 @ SV18 ) @ zero )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV6: $i,SV1: $i,SV13: $i,SV11: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV11 @ SV13 ) )
= $false )
| ( ( in_environment @ SV1 @ SV13 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
= $true )
| ( ( greater @ ( resilience @ SV11 ) @ ( resilience @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(114,plain,
! [SV4: $i,SV15: $i,SV17: $i,SV9: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero ) )
= $true )
| ( ( outcompetes @ SV15 @ SV9 @ SV17 )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV22: $i,SV19: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( subpopulations @ SV9 @ SV19 @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( outcompetes @ SV19 @ SV9 @ SV22 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV23: $i,SV20: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( subpopulations @ SV9 @ SV20 @ SV4 @ SV23 ) )
= $true )
| ( ( ~ ( outcompetes @ SV20 @ SV9 @ SV23 )
| ( greater_or_equal @ ( growth_rate @ SV20 @ SV23 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(117,plain,
! [SV10: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $true )
| ( ( ! [SY52: $i] :
~ ( greater @ zero @ ( growth_rate @ SV10 @ SY52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV5: $i,SV24: $i,SV10: $i] :
( ( ! [SY64: $i] :
( ( subpopulations @ SV10 @ SV24 @ SV5 @ SY64 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV21: $i,SV10: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV10 @ SV21 ) )
= $false )
| ( ( greater_or_equal @ ( growth_rate @ SV10 @ SV21 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV18: $i,SV5: $i,SV16: $i,SV10: $i] :
( ( ( subpopulations @ SV10 @ SV16 @ SV5 @ SV18 )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( greater_or_equal @ ( growth_rate @ SV10 @ SV18 ) @ zero )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV4: $i,SV15: $i,SV17: $i,SV9: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero ) )
= $true )
| ( ( outcompetes @ SV15 @ SV9 @ SV17 )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(122,plain,
! [SV22: $i,SV19: $i,SV9: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( subpopulations @ SV9 @ SV19 @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( outcompetes @ SV19 @ SV9 @ SV22 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(123,plain,
! [SV23: $i,SV20: $i,SV9: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( subpopulations @ SV9 @ SV20 @ SV4 @ SV23 ) )
= $true )
| ( ( ~ ( outcompetes @ SV20 @ SV9 @ SV23 )
| ( greater_or_equal @ ( growth_rate @ SV20 @ SV23 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(124,plain,
! [SV5: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ SV10 @ SV25 ) ) )
= $true )
| ( ( environment @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV26: $i,SV5: $i,SV24: $i,SV10: $i] :
( ( ( subpopulations @ SV10 @ SV24 @ SV5 @ SV26 )
| ~ ( greater @ zero @ ( growth_rate @ SV10 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(126,plain,
! [SV4: $i,SV15: $i,SV17: $i,SV9: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
= $false )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero ) )
= $true )
| ( ( outcompetes @ SV15 @ SV9 @ SV17 )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV22: $i,SV4: $i,SV19: $i,SV9: $i] :
( ( ( subpopulations @ SV9 @ SV19 @ SV4 @ SV22 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( ~ ( outcompetes @ SV19 @ SV9 @ SV22 )
| ( greater @ zero @ ( growth_rate @ SV9 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(128,plain,
! [SV23: $i,SV4: $i,SV20: $i,SV9: $i] :
( ( ( subpopulations @ SV9 @ SV20 @ SV4 @ SV23 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( ~ ( outcompetes @ SV20 @ SV9 @ SV23 )
| ( greater_or_equal @ ( growth_rate @ SV20 @ SV23 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(129,plain,
! [SV5: $i,SV25: $i,SV10: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV10 @ SV25 ) )
= $false )
| ( ( environment @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(130,plain,
! [SV26: $i,SV5: $i,SV24: $i,SV10: $i] :
( ( ( subpopulations @ SV10 @ SV24 @ SV5 @ SV26 )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV10 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(131,plain,
! [SV4: $i,SV9: $i,SV17: $i,SV15: $i] :
( ( ( greater_or_equal @ ( growth_rate @ SV15 @ SV17 ) @ zero )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV9 @ SV17 ) )
= $false )
| ( ( outcompetes @ SV15 @ SV9 @ SV17 )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV15 @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(132,plain,
! [SV4: $i,SV22: $i,SV9: $i,SV19: $i] :
( ( ( ~ ( outcompetes @ SV19 @ SV9 @ SV22 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV9 @ SV22 ) )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV19 @ SV4 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(133,plain,
! [SV4: $i,SV23: $i,SV9: $i,SV20: $i] :
( ( ( ~ ( outcompetes @ SV20 @ SV9 @ SV23 ) )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV20 @ SV23 ) @ zero )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV20 @ SV4 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(134,plain,
! [SV5: $i,SV24: $i,SV26: $i,SV10: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV10 @ SV26 ) )
= $false )
| ( ( subpopulations @ SV10 @ SV24 @ SV5 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(135,plain,
! [SV4: $i,SV22: $i,SV9: $i,SV19: $i] :
( ( ( outcompetes @ SV19 @ SV9 @ SV22 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV9 @ SV22 ) )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV19 @ SV4 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(136,plain,
! [SV4: $i,SV23: $i,SV9: $i,SV20: $i] :
( ( ( outcompetes @ SV20 @ SV9 @ SV23 )
= $false )
| ( ( greater_or_equal @ ( growth_rate @ SV20 @ SV23 ) @ zero )
= $true )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ SV9 @ SV20 @ SV4 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(137,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,136,135,134,131,129,120,119,113,83,69,35,34,33]) ).
thf(138,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n027.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 12:28:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 6
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.35 (rf:0,axioms:6,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:8,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.19/0.47
% 0.19/0.47 ********************************
% 0.19/0.47 * All subproblems solved! *
% 0.19/0.47 ********************************
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,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:137,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.48
% 0.19/0.48 %**** Beginning of derivation protocol ****
% 0.19/0.48 % SZS output start CNFRefutation
% See solution above
% 0.19/0.48
% 0.19/0.48 %**** End of derivation protocol ****
% 0.19/0.48 %**** no. of clauses in derivation: 138 ****
% 0.19/0.48 %**** clause counter: 137 ****
% 0.19/0.48
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,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:137,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------