TSTP Solution File: MGT020-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : 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 22:17:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 155 ( 63 unt; 14 typ; 0 def)
% Number of atoms : 1067 ( 275 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 2230 ( 269 ~; 394 |; 0 &;1567 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 326 ( 0 ^ 326 !; 0 ?; 326 :)
% Comments :
%------------------------------------------------------------------------------
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_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_in_environment,type,
in_environment: $i > $i > $o ).
thf(tp_initial_FM_EP,type,
initial_FM_EP: $i > $i ).
thf(tp_sk1,type,
sk1: $i ).
thf(tp_sk2,type,
sk2: $i ).
thf(tp_start_time,type,
start_time: $i > $i ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_30) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_29) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater @ C @ B )
| ~ ( in_environment @ A @ C )
| ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_times_in_order_28) ).
thf(4,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( initial_FM_EP @ A ) @ ( start_time @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_initial_time_27) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occurs_26) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ C )
| ~ ( greater_or_equal @ D @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ D )
| ~ ( greater @ ( disbanding_rate @ first_movers @ C ) @ ( disbanding_rate @ efficient_producers @ C ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ D ) @ ( disbanding_rate @ efficient_producers @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_function_difference_25) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater_or_equal @ B @ ( initial_FM_EP @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_point_24) ).
thf(8,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( initial_FM_EP @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( initial_FM_EP @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_point_23) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_22) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ D @ B )
| ~ ( greater_or_equal @ C @ D )
| ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_32) ).
thf(11,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ( greater @ ( disbanding_rate @ first_movers @ ( initial_FM_EP @ A ) ) @ ( disbanding_rate @ efficient_producers @ ( initial_FM_EP @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a8_31) ).
thf(12,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(13,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,negated_conjecture,
~ ( greater @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l2_35) ).
thf(15,negated_conjecture,
subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l2_34) ).
thf(16,negated_conjecture,
environment @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l2_33) ).
thf(17,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(18,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(19,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(20,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater @ C @ B )
| ~ ( in_environment @ A @ C )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( initial_FM_EP @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ C )
| ~ ( greater_or_equal @ D @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ D )
| ~ ( greater @ ( disbanding_rate @ first_movers @ C ) @ ( disbanding_rate @ efficient_producers @ C ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ D ) @ ( disbanding_rate @ efficient_producers @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater_or_equal @ B @ ( initial_FM_EP @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( initial_FM_EP @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( initial_FM_EP @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(26,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(27,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ D @ B )
| ~ ( greater_or_equal @ C @ D )
| ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(28,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater @ ( disbanding_rate @ first_movers @ ( initial_FM_EP @ A ) ) @ ( disbanding_rate @ efficient_producers @ ( initial_FM_EP @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(29,plain,
( ( ~ ( greater @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(30,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(31,plain,
( ( environment @ sk1 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(35,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ! [C: $i] :
( ~ ( greater @ C @ B )
| ~ ( in_environment @ A @ C )
| ( in_environment @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(36,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i] :
( ~ ( greater_or_equal @ B @ C )
| ! [D: $i] :
( ~ ( greater_or_equal @ D @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ D )
| ~ ( greater @ ( disbanding_rate @ first_movers @ C ) @ ( disbanding_rate @ efficient_producers @ C ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ D ) @ ( disbanding_rate @ efficient_producers @ D ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(38,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater_or_equal @ B @ ( initial_FM_EP @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(39,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ! [D: $i] :
( ~ ( greater_or_equal @ D @ B )
| ~ ( greater_or_equal @ C @ D )
| ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(41,plain,
( ( environment @ sk1 )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(42,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(43,plain,
( ( ~ ( greater @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(44,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater @ ( disbanding_rate @ first_movers @ ( initial_FM_EP @ A ) ) @ ( disbanding_rate @ efficient_producers @ ( initial_FM_EP @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ! [D: $i] :
( ~ ( greater_or_equal @ D @ B )
| ~ ( greater_or_equal @ C @ D )
| ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(46,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(47,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( initial_FM_EP @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( initial_FM_EP @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(48,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater_or_equal @ B @ ( initial_FM_EP @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i] :
( ~ ( greater_or_equal @ B @ C )
| ! [D: $i] :
( ~ ( greater_or_equal @ D @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ D )
| ~ ( greater @ ( disbanding_rate @ first_movers @ C ) @ ( disbanding_rate @ efficient_producers @ C ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ D ) @ ( disbanding_rate @ efficient_producers @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(50,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(51,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( initial_FM_EP @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(52,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ! [C: $i] :
( ~ ( greater @ C @ B )
| ~ ( in_environment @ A @ C )
| ( in_environment @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(55,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(56,plain,
( ( greater @ ( disbanding_rate @ first_movers @ sk2 ) @ ( disbanding_rate @ efficient_producers @ sk2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(57,plain,
! [SV1: $i] :
( ( ~ ( environment @ SV1 )
| ( greater @ ( disbanding_rate @ first_movers @ ( initial_FM_EP @ SV1 ) ) @ ( disbanding_rate @ efficient_producers @ ( initial_FM_EP @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(58,plain,
! [SV2: $i] :
( ( ! [SY25: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY25 )
| ! [SY26: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY26 )
| ! [SY27: $i] :
( ~ ( greater_or_equal @ SY27 @ SY25 )
| ~ ( greater_or_equal @ SY26 @ SY27 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY27 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(59,plain,
! [SV3: $i] :
( ( ~ ( environment @ SV3 )
| ! [SY28: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SY28 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SY28 ) @ ( disbanding_rate @ efficient_producers @ SY28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(60,plain,
! [SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( in_environment @ SV4 @ ( initial_FM_EP @ SV4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV4 @ ( initial_FM_EP @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(61,plain,
! [SV5: $i] :
( ( ~ ( environment @ SV5 )
| ! [SY29: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY29 )
| ( greater_or_equal @ SY29 @ ( initial_FM_EP @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(62,plain,
! [SV6: $i] :
( ( ! [SY30: $i] :
( ~ ( environment @ SV6 )
| ! [SY31: $i] :
( ~ ( greater_or_equal @ SY30 @ SY31 )
| ! [SY32: $i] :
( ~ ( greater_or_equal @ SY32 @ SY30 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY32 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SY31 ) @ ( disbanding_rate @ efficient_producers @ SY31 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SY30 ) @ ( disbanding_rate @ efficient_producers @ SY30 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SY32 ) @ ( disbanding_rate @ efficient_producers @ SY32 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(63,plain,
! [SV7: $i] :
( ( ~ ( environment @ SV7 )
| ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SY33 )
| ( in_environment @ SV7 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(64,plain,
! [SV8: $i] :
( ( ~ ( environment @ SV8 )
| ( greater_or_equal @ ( initial_FM_EP @ SV8 ) @ ( start_time @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(65,plain,
! [SV9: $i] :
( ( ~ ( environment @ SV9 )
| ! [SY34: $i] :
( ~ ( greater_or_equal @ SY34 @ ( start_time @ SV9 ) )
| ! [SY35: $i] :
( ~ ( greater @ SY35 @ SY34 )
| ~ ( in_environment @ SV9 @ SY35 )
| ( in_environment @ SV9 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(66,plain,
! [SV10: $i] :
( ( ! [SY36: $i] :
( ~ ( greater @ SV10 @ SY36 )
| ! [SY37: $i] :
( ~ ( greater @ SY36 @ SY37 )
| ( greater @ SV10 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(67,plain,
! [SV11: $i] :
( ( ! [SY38: $i] :
( ~ ( greater_or_equal @ SV11 @ SY38 )
| ( SV11 = SY38 )
| ( greater @ SV11 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(68,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(69,plain,
! [SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( greater @ ( disbanding_rate @ first_movers @ ( initial_FM_EP @ SV1 ) ) @ ( disbanding_rate @ efficient_producers @ ( initial_FM_EP @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(70,plain,
! [SV12: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
| ! [SY39: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY39 )
| ! [SY40: $i] :
( ~ ( greater_or_equal @ SY40 @ SV12 )
| ~ ( greater_or_equal @ SY39 @ SY40 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(71,plain,
! [SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ! [SY28: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SY28 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SY28 ) @ ( disbanding_rate @ efficient_producers @ SY28 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( in_environment @ SV4 @ ( initial_FM_EP @ SV4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV4 @ ( initial_FM_EP @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ! [SY29: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY29 )
| ( greater_or_equal @ SY29 @ ( initial_FM_EP @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(74,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( environment @ SV6 )
| ! [SY41: $i] :
( ~ ( greater_or_equal @ SV13 @ SY41 )
| ! [SY42: $i] :
( ~ ( greater_or_equal @ SY42 @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY42 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SY41 ) @ ( disbanding_rate @ efficient_producers @ SY41 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SY42 ) @ ( disbanding_rate @ efficient_producers @ SY42 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(75,plain,
! [SV7: $i] :
( ( ( ~ ( environment @ SV7 ) )
= $true )
| ( ( ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SY33 )
| ( in_environment @ SV7 @ SY33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(76,plain,
! [SV8: $i] :
( ( ( ~ ( environment @ SV8 ) )
= $true )
| ( ( greater_or_equal @ ( initial_FM_EP @ SV8 ) @ ( start_time @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(77,plain,
! [SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ! [SY34: $i] :
( ~ ( greater_or_equal @ SY34 @ ( start_time @ SV9 ) )
| ! [SY35: $i] :
( ~ ( greater @ SY35 @ SY34 )
| ~ ( in_environment @ SV9 @ SY35 )
| ( in_environment @ SV9 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(78,plain,
! [SV14: $i,SV10: $i] :
( ( ~ ( greater @ SV10 @ SV14 )
| ! [SY43: $i] :
( ~ ( greater @ SV14 @ SY43 )
| ( greater @ SV10 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV15: $i,SV11: $i] :
( ( ~ ( greater_or_equal @ SV11 @ SV15 )
| ( SV11 = SV15 )
| ( greater @ SV11 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(80,plain,
! [SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( greater @ ( disbanding_rate @ first_movers @ ( initial_FM_EP @ SV1 ) ) @ ( disbanding_rate @ efficient_producers @ ( initial_FM_EP @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(81,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
| ! [SY39: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY39 )
| ! [SY40: $i] :
( ~ ( greater_or_equal @ SY40 @ SV12 )
| ~ ( greater_or_equal @ SY39 @ SY40 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ! [SY28: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SY28 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SY28 ) @ ( disbanding_rate @ efficient_producers @ SY28 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(83,plain,
! [SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( in_environment @ SV4 @ ( initial_FM_EP @ SV4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV4 @ ( initial_FM_EP @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ! [SY29: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY29 )
| ( greater_or_equal @ SY29 @ ( initial_FM_EP @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(85,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ! [SY41: $i] :
( ~ ( greater_or_equal @ SV13 @ SY41 )
| ! [SY42: $i] :
( ~ ( greater_or_equal @ SY42 @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY42 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SY41 ) @ ( disbanding_rate @ efficient_producers @ SY41 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SY42 ) @ ( disbanding_rate @ efficient_producers @ SY42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( environment @ SV7 )
= $false )
| ( ( ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SY33 )
| ( in_environment @ SV7 @ SY33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(87,plain,
! [SV8: $i] :
( ( ( environment @ SV8 )
= $false )
| ( ( greater_or_equal @ ( initial_FM_EP @ SV8 ) @ ( start_time @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ! [SY34: $i] :
( ~ ( greater_or_equal @ SY34 @ ( start_time @ SV9 ) )
| ! [SY35: $i] :
( ~ ( greater @ SY35 @ SY34 )
| ~ ( in_environment @ SV9 @ SY35 )
| ( in_environment @ SV9 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(89,plain,
! [SV14: $i,SV10: $i] :
( ( ( ~ ( greater @ SV10 @ SV14 ) )
= $true )
| ( ( ! [SY43: $i] :
( ~ ( greater @ SV14 @ SY43 )
| ( greater @ SV10 @ SY43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV15: $i,SV11: $i] :
( ( ( ~ ( greater_or_equal @ SV11 @ SV15 ) )
= $true )
| ( ( ( SV11 = SV15 )
| ( greater @ SV11 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV12: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
| ! [SY39: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY39 )
| ! [SY40: $i] :
( ~ ( greater_or_equal @ SY40 @ SV12 )
| ~ ( greater_or_equal @ SY39 @ SY40 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV16 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV16 ) @ ( disbanding_rate @ efficient_producers @ SV16 ) ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV4: $i] :
( ( ( ~ ( in_environment @ SV4 @ ( initial_FM_EP @ SV4 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ ( initial_FM_EP @ SV4 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV17 )
| ( greater_or_equal @ SV17 @ ( initial_FM_EP @ SV5 ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV13: $i,SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ! [SY41: $i] :
( ~ ( greater_or_equal @ SV13 @ SY41 )
| ! [SY42: $i] :
( ~ ( greater_or_equal @ SY42 @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY42 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SY41 ) @ ( disbanding_rate @ efficient_producers @ SY41 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SY42 ) @ ( disbanding_rate @ efficient_producers @ SY42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(96,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV18 )
| ( in_environment @ SV7 @ SV18 ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV9: $i,SV19: $i] :
( ( ( ~ ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) )
| ! [SY44: $i] :
( ~ ( greater @ SY44 @ SV19 )
| ~ ( in_environment @ SV9 @ SY44 )
| ( in_environment @ SV9 @ SV19 ) ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(98,plain,
! [SV14: $i,SV10: $i] :
( ( ( greater @ SV10 @ SV14 )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( greater @ SV14 @ SY43 )
| ( greater @ SV10 @ SY43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(99,plain,
! [SV15: $i,SV11: $i] :
( ( ( greater_or_equal @ SV11 @ SV15 )
= $false )
| ( ( ( SV11 = SV15 )
| ( greater @ SV11 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(100,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY39 )
| ! [SY40: $i] :
( ~ ( greater_or_equal @ SY40 @ SV12 )
| ~ ( greater_or_equal @ SY39 @ SY40 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY40 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV16 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV16 ) @ ( disbanding_rate @ efficient_producers @ SV16 ) ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV4: $i] :
( ( ( in_environment @ SV4 @ ( initial_FM_EP @ SV4 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ ( initial_FM_EP @ SV4 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV17 ) )
= $true )
| ( ( greater_or_equal @ SV17 @ ( initial_FM_EP @ SV5 ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(104,plain,
! [SV6: $i,SV20: $i,SV13: $i] :
( ( ( ~ ( greater_or_equal @ SV13 @ SV20 )
| ! [SY45: $i] :
( ~ ( greater_or_equal @ SY45 @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY45 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SY45 ) @ ( disbanding_rate @ efficient_producers @ SY45 ) ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV18 ) )
= $true )
| ( ( in_environment @ SV7 @ SV18 )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV9: $i,SV19: $i] :
( ( ( ~ ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) ) )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( greater @ SY44 @ SV19 )
| ~ ( in_environment @ SV9 @ SY44 )
| ( in_environment @ SV9 @ SV19 ) ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV10: $i,SV21: $i,SV14: $i] :
( ( ( ~ ( greater @ SV14 @ SV21 )
| ( greater @ SV10 @ SV21 ) )
= $true )
| ( ( greater @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(108,plain,
! [SV15: $i,SV11: $i] :
( ( ( SV11 = SV15 )
= $true )
| ( ( greater @ SV11 @ SV15 )
= $true )
| ( ( greater_or_equal @ SV11 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(109,plain,
! [SV12: $i,SV2: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY39 )
| ! [SY40: $i] :
( ~ ( greater_or_equal @ SY40 @ SV12 )
| ~ ( greater_or_equal @ SY39 @ SY40 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY40 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(110,plain,
! [SV16: $i,SV3: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV16 )
= $false )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV16 ) @ ( disbanding_rate @ efficient_producers @ SV16 ) ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(111,plain,
! [SV17: $i,SV5: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV17 )
= $false )
| ( ( greater_or_equal @ SV17 @ ( initial_FM_EP @ SV5 ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV6: $i,SV20: $i,SV13: $i] :
( ( ( ~ ( greater_or_equal @ SV13 @ SV20 ) )
= $true )
| ( ( ! [SY45: $i] :
( ~ ( greater_or_equal @ SY45 @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY45 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SY45 ) @ ( disbanding_rate @ efficient_producers @ SY45 ) ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV18: $i,SV7: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV18 )
= $false )
| ( ( in_environment @ SV7 @ SV18 )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(114,plain,
! [SV9: $i,SV19: $i] :
( ( ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) )
= $false )
| ( ( ! [SY44: $i] :
( ~ ( greater @ SY44 @ SV19 )
| ~ ( in_environment @ SV9 @ SY44 )
| ( in_environment @ SV9 @ SV19 ) ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV10: $i,SV21: $i,SV14: $i] :
( ( ( ~ ( greater @ SV14 @ SV21 ) )
= $true )
| ( ( greater @ SV10 @ SV21 )
= $true )
| ( ( greater @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV12: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 )
| ! [SY46: $i] :
( ~ ( greater_or_equal @ SY46 @ SV12 )
| ~ ( greater_or_equal @ SV22 @ SY46 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY46 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(117,plain,
! [SV3: $i,SV16: $i] :
( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV16 ) @ ( disbanding_rate @ efficient_producers @ SV16 ) ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV16 )
= $false )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV6: $i,SV20: $i,SV13: $i] :
( ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( ! [SY45: $i] :
( ~ ( greater_or_equal @ SY45 @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY45 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SY45 ) @ ( disbanding_rate @ efficient_producers @ SY45 ) ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV9: $i,SV19: $i,SV23: $i] :
( ( ( ~ ( greater @ SV23 @ SV19 )
| ~ ( in_environment @ SV9 @ SV23 )
| ( in_environment @ SV9 @ SV19 ) )
= $true )
| ( ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(120,plain,
! [SV10: $i,SV21: $i,SV14: $i] :
( ( ( greater @ SV14 @ SV21 )
= $false )
| ( ( greater @ SV10 @ SV21 )
= $true )
| ( ( greater @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(121,plain,
! [SV12: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ( greater_or_equal @ SY46 @ SV12 )
| ~ ( greater_or_equal @ SV22 @ SY46 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY46 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(122,plain,
! [SV20: $i,SV6: $i,SV13: $i,SV24: $i] :
( ( ( ~ ( greater_or_equal @ SV24 @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) ) )
= $true )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(123,plain,
! [SV9: $i,SV19: $i,SV23: $i] :
( ( ( ~ ( greater @ SV23 @ SV19 ) )
= $true )
| ( ( ~ ( in_environment @ SV9 @ SV23 )
| ( in_environment @ SV9 @ SV19 ) )
= $true )
| ( ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(124,plain,
! [SV12: $i,SV22: $i,SV2: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 )
= $false )
| ( ( ! [SY46: $i] :
( ~ ( greater_or_equal @ SY46 @ SV12 )
| ~ ( greater_or_equal @ SV22 @ SY46 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY46 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(125,plain,
! [SV20: $i,SV6: $i,SV13: $i,SV24: $i] :
( ( ( ~ ( greater_or_equal @ SV24 @ SV13 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) ) )
= $true )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(126,plain,
! [SV9: $i,SV19: $i,SV23: $i] :
( ( ( greater @ SV23 @ SV19 )
= $false )
| ( ( ~ ( in_environment @ SV9 @ SV23 )
| ( in_environment @ SV9 @ SV19 ) )
= $true )
| ( ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV2: $i,SV22: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( greater_or_equal @ SV25 @ SV12 )
| ~ ( greater_or_equal @ SV22 @ SV25 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV25 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(128,plain,
! [SV20: $i,SV6: $i,SV13: $i,SV24: $i] :
( ( ( greater_or_equal @ SV24 @ SV13 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
| ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) ) )
= $true )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(129,plain,
! [SV19: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( in_environment @ SV9 @ SV23 ) )
= $true )
| ( ( in_environment @ SV9 @ SV19 )
= $true )
| ( ( greater @ SV23 @ SV19 )
= $false )
| ( ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV2: $i,SV22: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( greater_or_equal @ SV25 @ SV12 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV22 @ SV25 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV25 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV13: $i,SV20: $i,SV24: $i,SV6: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) ) )
= $true )
| ( ( greater_or_equal @ SV24 @ SV13 )
= $false )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV19: $i,SV23: $i,SV9: $i] :
( ( ( in_environment @ SV9 @ SV23 )
= $false )
| ( ( in_environment @ SV9 @ SV19 )
= $true )
| ( ( greater @ SV23 @ SV19 )
= $false )
| ( ( greater_or_equal @ SV19 @ ( start_time @ SV9 ) )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(133,plain,
! [SV2: $i,SV22: $i,SV12: $i,SV25: $i] :
( ( ( greater_or_equal @ SV25 @ SV12 )
= $false )
| ( ( ~ ( greater_or_equal @ SV22 @ SV25 )
| ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV25 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(134,plain,
! [SV13: $i,SV20: $i,SV24: $i,SV6: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
= $false )
| ( ( ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) ) )
= $true )
| ( ( greater_or_equal @ SV24 @ SV13 )
= $false )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(135,plain,
! [SV12: $i,SV2: $i,SV25: $i,SV22: $i] :
( ( ( ~ ( greater_or_equal @ SV22 @ SV25 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV25 )
= $true )
| ( ( greater_or_equal @ SV25 @ SV12 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(136,plain,
! [SV6: $i,SV24: $i,SV13: $i,SV20: $i] :
( ( ( ~ ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) ) )
= $true )
| ( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
= $false )
| ( ( greater_or_equal @ SV24 @ SV13 )
= $false )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(137,plain,
! [SV12: $i,SV2: $i,SV25: $i,SV22: $i] :
( ( ( greater_or_equal @ SV22 @ SV25 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV25 )
= $true )
| ( ( greater_or_equal @ SV25 @ SV12 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV22 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV12 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV6: $i,SV24: $i,SV13: $i,SV20: $i] :
( ( ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
= $false )
| ( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
| ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
= $false )
| ( ( greater_or_equal @ SV24 @ SV13 )
= $false )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(139,plain,
! [SV6: $i,SV20: $i,SV24: $i,SV13: $i] :
( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV13 ) @ ( disbanding_rate @ efficient_producers @ SV13 ) ) )
= $true )
| ( ( greater @ ( disbanding_rate @ first_movers @ SV24 ) @ ( disbanding_rate @ efficient_producers @ SV24 ) )
= $true )
| ( ( greater @ ( disbanding_rate @ first_movers @ SV20 ) @ ( disbanding_rate @ efficient_producers @ SV20 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
= $false )
| ( ( greater_or_equal @ SV24 @ SV13 )
= $false )
| ( ( greater_or_equal @ SV13 @ SV20 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(140,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[41,139,137,132,120,117,113,111,108,102,87,80,68,56,42]) ).
thf(141,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 12:25:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 14
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.38 (rf:0,axioms:14,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:16,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.50
% 0.20/0.50 ********************************
% 0.20/0.50 * All subproblems solved! *
% 0.20/0.50 ********************************
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:14,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:140,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.50
% 0.20/0.50 %**** Beginning of derivation protocol ****
% 0.20/0.50 % SZS output start CNFRefutation
% See solution above
% 0.20/0.50
% 0.20/0.50 %**** End of derivation protocol ****
% 0.20/0.50 %**** no. of clauses in derivation: 141 ****
% 0.20/0.50 %**** clause counter: 140 ****
% 0.20/0.50
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:14,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:140,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------