TSTP Solution File: MGT032-2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.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 22:17:19 EDT 2022
% Result : Unsatisfiable 0.16s 0.36s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 82 ( 35 unt; 13 typ; 0 def)
% Number of atoms : 418 ( 108 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 803 ( 104 ~; 133 |; 0 &; 566 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 111 ( 0 ^ 111 !; 0 ?; 111 :)
% 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_selection_favors,type,
selection_favors: $i > $i > $i > $o ).
thf(tp_sk1,type,
sk1: $i > $i ).
thf(tp_sk2,type,
sk2: $i ).
thf(tp_sk3,type,
sk3: $i > $i ).
thf(tp_stable,type,
stable: $i > $o ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_1) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_3) ).
thf(3,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_2) ).
thf(4,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(5,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( sk3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_8) ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ( greater_or_equal @ ( sk3 @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_7) ).
thf(8,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk2 @ ( sk3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_6) ).
thf(9,negated_conjecture,
stable @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_5) ).
thf(10,negated_conjecture,
environment @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_4) ).
thf(11,plain,
$false = $false,
inference(unfold_def,[status(thm)],[5]) ).
thf(12,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( sk3 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ( greater_or_equal @ ( sk3 @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(17,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk2 @ ( sk3 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(18,plain,
( ( stable @ sk2 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(19,plain,
( ( environment @ sk2 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(20,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(22,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(23,plain,
( ( environment @ sk2 )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(24,plain,
( ( stable @ sk2 )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(25,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk2 @ ( sk3 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(26,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ( greater_or_equal @ ( sk3 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(27,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk2 @ A )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( sk3 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(28,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(29,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(31,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(32,plain,
! [SV1: $i] :
( ( ~ ( in_environment @ sk2 @ SV1 )
| ( subpopulations @ first_movers @ efficient_producers @ sk2 @ ( sk3 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV2: $i] :
( ( ~ ( in_environment @ sk2 @ SV2 )
| ( greater_or_equal @ ( sk3 @ SV2 ) @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV3: $i] :
( ( ~ ( in_environment @ sk2 @ SV3 )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( sk3 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( stable @ SV4 )
| ( in_environment @ SV4 @ ( sk1 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( stable @ SV5 )
| ! [SY10: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY10 )
| ~ ( greater_or_equal @ SY10 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY10 ) @ ( growth_rate @ first_movers @ SY10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV6: $i] :
( ( ! [SY11: $i] :
( ~ ( environment @ SV6 )
| ! [SY12: $i,SY13: $i] :
( ~ ( subpopulations @ SY11 @ SY12 @ SV6 @ SY13 )
| ~ ( greater @ ( growth_rate @ SY12 @ SY13 ) @ ( growth_rate @ SY11 @ SY13 ) )
| ( selection_favors @ SY12 @ SY11 @ SY13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(39,plain,
! [SV1: $i] :
( ( ( ~ ( in_environment @ sk2 @ SV1 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk2 @ ( sk3 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(40,plain,
! [SV2: $i] :
( ( ( ~ ( in_environment @ sk2 @ SV2 ) )
= $true )
| ( ( greater_or_equal @ ( sk3 @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(41,plain,
! [SV3: $i] :
( ( ( ~ ( in_environment @ sk2 @ SV3 ) )
= $true )
| ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( sk3 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(42,plain,
! [SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( stable @ SV4 )
| ( in_environment @ SV4 @ ( sk1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( stable @ SV5 )
| ! [SY10: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY10 )
| ~ ( greater_or_equal @ SY10 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY10 ) @ ( growth_rate @ first_movers @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV7: $i,SV6: $i] :
( ( ~ ( environment @ SV6 )
| ! [SY14: $i,SY15: $i] :
( ~ ( subpopulations @ SV7 @ SY14 @ SV6 @ SY15 )
| ~ ( greater @ ( growth_rate @ SY14 @ SY15 ) @ ( growth_rate @ SV7 @ SY15 ) )
| ( selection_favors @ SY14 @ SV7 @ SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV1: $i] :
( ( ( in_environment @ sk2 @ SV1 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk2 @ ( sk3 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( in_environment @ sk2 @ SV2 )
= $false )
| ( ( greater_or_equal @ ( sk3 @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV3: $i] :
( ( ( in_environment @ sk2 @ SV3 )
= $false )
| ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( sk3 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( stable @ SV4 )
| ( in_environment @ SV4 @ ( sk1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( stable @ SV5 )
| ! [SY10: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY10 )
| ~ ( greater_or_equal @ SY10 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY10 ) @ ( growth_rate @ first_movers @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV7: $i,SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ! [SY14: $i,SY15: $i] :
( ~ ( subpopulations @ SV7 @ SY14 @ SV6 @ SY15 )
| ~ ( greater @ ( growth_rate @ SY14 @ SY15 ) @ ( growth_rate @ SV7 @ SY15 ) )
| ( selection_favors @ SY14 @ SV7 @ SY15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV3: $i] :
( ( ( selection_favors @ efficient_producers @ first_movers @ ( sk3 @ SV3 ) )
= $false )
| ( ( in_environment @ sk2 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV4: $i] :
( ( ( ~ ( stable @ SV4 ) )
= $true )
| ( ( in_environment @ SV4 @ ( sk1 @ SV4 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV5: $i] :
( ( ( ~ ( stable @ SV5 ) )
= $true )
| ( ( ! [SY10: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY10 )
| ~ ( greater_or_equal @ SY10 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY10 ) @ ( growth_rate @ first_movers @ SY10 ) ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV7: $i,SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ! [SY14: $i,SY15: $i] :
( ~ ( subpopulations @ SV7 @ SY14 @ SV6 @ SY15 )
| ~ ( greater @ ( growth_rate @ SY14 @ SY15 ) @ ( growth_rate @ SV7 @ SY15 ) )
| ( selection_favors @ SY14 @ SV7 @ SY15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV4: $i] :
( ( ( stable @ SV4 )
= $false )
| ( ( in_environment @ SV4 @ ( sk1 @ SV4 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: $i] :
( ( ( stable @ SV5 )
= $false )
| ( ( ! [SY10: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY10 )
| ~ ( greater_or_equal @ SY10 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY10 ) @ ( growth_rate @ first_movers @ SY10 ) ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV6: $i,SV8: $i,SV7: $i] :
( ( ( ! [SY16: $i] :
( ~ ( subpopulations @ SV7 @ SV8 @ SV6 @ SY16 )
| ~ ( greater @ ( growth_rate @ SV8 @ SY16 ) @ ( growth_rate @ SV7 @ SY16 ) )
| ( selection_favors @ SV8 @ SV7 @ SY16 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV9 )
| ~ ( greater_or_equal @ SV9 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) ) )
= $true )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV10: $i,SV6: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( subpopulations @ SV7 @ SV8 @ SV6 @ SV10 )
| ~ ( greater @ ( growth_rate @ SV8 @ SV10 ) @ ( growth_rate @ SV7 @ SV10 ) )
| ( selection_favors @ SV8 @ SV7 @ SV10 ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV9 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) ) )
= $true )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV10: $i,SV6: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( subpopulations @ SV7 @ SV8 @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ SV8 @ SV10 ) @ ( growth_rate @ SV7 @ SV10 ) )
| ( selection_favors @ SV8 @ SV7 @ SV10 ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV9: $i,SV5: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV9 )
= $false )
| ( ( ~ ( greater_or_equal @ SV9 @ ( sk1 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) ) )
= $true )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV10: $i,SV6: $i,SV8: $i,SV7: $i] :
( ( ( subpopulations @ SV7 @ SV8 @ SV6 @ SV10 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ SV8 @ SV10 ) @ ( growth_rate @ SV7 @ SV10 ) )
| ( selection_favors @ SV8 @ SV7 @ SV10 ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( greater_or_equal @ SV9 @ ( sk1 @ SV5 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV9 )
= $false )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV6: $i,SV7: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( greater @ ( growth_rate @ SV8 @ SV10 ) @ ( growth_rate @ SV7 @ SV10 ) ) )
= $true )
| ( ( selection_favors @ SV8 @ SV7 @ SV10 )
= $true )
| ( ( subpopulations @ SV7 @ SV8 @ SV6 @ SV10 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV5: $i,SV9: $i] :
( ( ( greater_or_equal @ SV9 @ ( sk1 @ SV5 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV9 )
= $false )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV6: $i,SV7: $i,SV10: $i,SV8: $i] :
( ( ( greater @ ( growth_rate @ SV8 @ SV10 ) @ ( growth_rate @ SV7 @ SV10 ) )
= $false )
| ( ( selection_favors @ SV8 @ SV7 @ SV10 )
= $true )
| ( ( subpopulations @ SV7 @ SV8 @ SV6 @ SV10 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,67,66,55,51,46,45,38,24]) ).
thf(69,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Thu Jun 9 09:14:22 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.31
% 0.16/0.31 No.of.Axioms: 8
% 0.16/0.31
% 0.16/0.31 Length.of.Defs: 0
% 0.16/0.31
% 0.16/0.31 Contains.Choice.Funs: false
% 0.16/0.32 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:10,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.16/0.36
% 0.16/0.36 ********************************
% 0.16/0.36 * All subproblems solved! *
% 0.16/0.36 ********************************
% 0.16/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/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:68,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.16/0.36
% 0.16/0.36 %**** Beginning of derivation protocol ****
% 0.16/0.36 % SZS output start CNFRefutation
% See solution above
% 0.16/0.36
% 0.16/0.36 %**** End of derivation protocol ****
% 0.16/0.36 %**** no. of clauses in derivation: 69 ****
% 0.16/0.36 %**** clause counter: 68 ****
% 0.16/0.36
% 0.16/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/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:68,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------