%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT039-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:37 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.19s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 164 ( 78 unt; 0 typ; 0 def)
% Number of atoms : 1155 ( 306 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 1786 ( 267 ~; 411 |; 0 &;1108 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 250 ( 0 ^; 250 !; 0 ?; 250 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_critical_point,type,
critical_point: $i > $i ).
thf(tp_efficient_producers,type,
efficient_producers: $i ).
thf(tp_end_time,type,
end_time: $i > $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_observational_period,type,
observational_period: $i > $o ).
thf(tp_propagation_strategy,type,
propagation_strategy: $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 > $i > $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_slow_change,type,
slow_change: $i > $o ).
thf(tp_start_time,type,
start_time: $i > $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater @ B @ ( start_time @ A ) )
| ( greater @ B @ ( end_time @ A ) )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_beginning_and_ending_34) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
thf(6,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_28) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater_or_equal @ ( end_time @ A ) @ B )
| ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_27) ).
thf(9,axiom,
propagation_strategy @ efficient_producers,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).
thf(10,axiom,
propagation_strategy @ first_movers,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk2 @ B @ A ) @ ( critical_point @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_24) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( in_environment @ B @ ( sk2 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_23) ).
thf(13,axiom,
! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ A ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_22) ).
thf(14,axiom,
! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ A @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_21) ).
thf(15,axiom,
! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_20) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ B @ ( critical_point @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_35) ).
thf(17,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(18,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[17]) ).
thf(19,negated_conjecture,
~ ( selection_favors @ efficient_producers @ first_movers @ sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_38) ).
thf(20,negated_conjecture,
slow_change @ sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_37) ).
thf(21,negated_conjecture,
observational_period @ sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_36) ).
thf(22,plain,
$false = $false,
inference(unfold_def,[status(thm)],[18]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater @ B @ ( start_time @ A ) )
| ( greater @ B @ ( end_time @ A ) )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(27,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(28,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater_or_equal @ ( end_time @ A ) @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(31,plain,
( ( propagation_strategy @ efficient_producers )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(32,plain,
( ( propagation_strategy @ first_movers )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk2 @ B @ A ) @ ( critical_point @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( in_environment @ B @ ( sk2 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(35,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ A ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(36,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ A @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ B @ ( critical_point @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(39,plain,
( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sk3 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(40,plain,
( ( slow_change @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(41,plain,
( ( observational_period @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(42,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(43,plain,
( ( observational_period @ sk3 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(44,plain,
( ( slow_change @ sk3 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(45,plain,
( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sk3 ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ B @ ( critical_point @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ B ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(47,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(48,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ A @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(49,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ A ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( in_environment @ B @ ( sk2 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk2 @ B @ A ) @ ( critical_point @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(52,plain,
( ( propagation_strategy @ first_movers )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(53,plain,
( ( propagation_strategy @ efficient_producers )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater_or_equal @ ( end_time @ A ) @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(56,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(57,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater @ B @ ( start_time @ A ) )
| ( greater @ B @ ( end_time @ A ) )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(62,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[42]) ).
thf(63,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(64,plain,
( ( selection_favors @ efficient_producers @ first_movers @ sk3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(65,plain,
! [SV1: $i] :
( ( ! [SY25: $i] :
( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SY25 )
| ~ ( greater @ SY25 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(66,plain,
! [SV2: $i] :
( ( ~ ( observational_period @ SV2 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(67,plain,
! [SV3: $i] :
( ( ~ ( observational_period @ SV3 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(68,plain,
! [SV4: $i] :
( ( ~ ( observational_period @ SV4 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(69,plain,
! [SV5: $i] :
( ( ! [SY26: $i] :
( ~ ( observational_period @ SV5 )
| ~ ( slow_change @ SV5 )
| ~ ( environment @ SY26 )
| ~ ( in_environment @ SV5 @ SY26 )
| ( in_environment @ SY26 @ ( sk2 @ SY26 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(70,plain,
! [SV6: $i] :
( ( ! [SY27: $i] :
( ~ ( observational_period @ SV6 )
| ~ ( slow_change @ SV6 )
| ~ ( environment @ SY27 )
| ~ ( in_environment @ SV6 @ SY27 )
| ( greater @ ( sk2 @ SY27 @ SV6 ) @ ( critical_point @ SY27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(71,plain,
! [SV7: $i] :
( ( ! [SY28: $i] :
( ~ ( environment @ SV7 )
| ~ ( greater_or_equal @ SY28 @ ( start_time @ SV7 ) )
| ~ ( greater_or_equal @ ( end_time @ SV7 ) @ SY28 )
| ( in_environment @ SV7 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(72,plain,
! [SV8: $i] :
( ( ! [SY29: $i] :
( ~ ( environment @ SV8 )
| ~ ( in_environment @ SV8 @ SY29 )
| ( greater_or_equal @ ( end_time @ SV8 ) @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(73,plain,
! [SV9: $i] :
( ( ~ ( environment @ SV9 )
| ( greater_or_equal @ ( critical_point @ SV9 ) @ ( start_time @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(74,plain,
! [SV10: $i] :
( ( ! [SY30: $i,SY31: $i] :
( ~ ( greater @ SV10 @ SY30 )
| ~ ( greater @ SY30 @ SY31 )
| ( greater @ SV10 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(75,plain,
! [SV11: $i] :
( ( ! [SY32: $i] :
( ~ ( greater_or_equal @ SV11 @ SY32 )
| ( greater @ SV11 @ SY32 )
| ( SV11 = SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV12: $i] :
( ( ! [SY33: $i] :
( ~ ( greater @ SV12 @ SY33 )
| ( greater_or_equal @ SV12 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
! [SV13: $i] :
( ( ! [SY34: $i] :
( ~ ( environment @ SV13 )
| ~ ( greater @ SY34 @ ( start_time @ SV13 ) )
| ( greater @ SY34 @ ( end_time @ SV13 ) )
| ( greater_or_equal @ ( end_time @ SV13 ) @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(78,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(79,plain,
! [SV14: $i] :
( ( ! [SY35: $i] :
( ( SV14 != SY35 )
| ( greater_or_equal @ SV14 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(80,plain,
! [SV15: $i,SV1: $i] :
( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV15 )
| ~ ( greater @ SV15 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(81,plain,
! [SV2: $i] :
( ( ( ~ ( observational_period @ SV2 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(82,plain,
! [SV3: $i] :
( ( ( ~ ( observational_period @ SV3 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(83,plain,
! [SV4: $i] :
( ( ( ~ ( observational_period @ SV4 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(84,plain,
! [SV16: $i,SV5: $i] :
( ( ~ ( observational_period @ SV5 )
| ~ ( slow_change @ SV5 )
| ~ ( environment @ SV16 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(85,plain,
! [SV17: $i,SV6: $i] :
( ( ~ ( observational_period @ SV6 )
| ~ ( slow_change @ SV6 )
| ~ ( environment @ SV17 )
| ~ ( in_environment @ SV6 @ SV17 )
| ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(86,plain,
! [SV18: $i,SV7: $i] :
( ( ~ ( environment @ SV7 )
| ~ ( greater_or_equal @ SV18 @ ( start_time @ SV7 ) )
| ~ ( greater_or_equal @ ( end_time @ SV7 ) @ SV18 )
| ( in_environment @ SV7 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV19: $i,SV8: $i] :
( ( ~ ( environment @ SV8 )
| ~ ( in_environment @ SV8 @ SV19 )
| ( greater_or_equal @ ( end_time @ SV8 ) @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(88,plain,
! [SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( greater_or_equal @ ( critical_point @ SV9 ) @ ( start_time @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(89,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY36: $i] :
( ~ ( greater @ SV10 @ SV20 )
| ~ ( greater @ SV20 @ SY36 )
| ( greater @ SV10 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(90,plain,
! [SV21: $i,SV11: $i] :
( ( ~ ( greater_or_equal @ SV11 @ SV21 )
| ( greater @ SV11 @ SV21 )
| ( SV11 = SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(91,plain,
! [SV22: $i,SV12: $i] :
( ( ~ ( greater @ SV12 @ SV22 )
| ( greater_or_equal @ SV12 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV23: $i,SV13: $i] :
( ( ~ ( environment @ SV13 )
| ~ ( greater @ SV23 @ ( start_time @ SV13 ) )
| ( greater @ SV23 @ ( end_time @ SV13 ) )
| ( greater_or_equal @ ( end_time @ SV13 ) @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(93,plain,
! [SV24: $i,SV14: $i] :
( ( ( SV14 != SV24 )
| ( greater_or_equal @ SV14 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( in_environment @ SV1 @ SV15 )
| ~ ( greater @ SV15 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV2: $i] :
( ( ( observational_period @ SV2 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV3: $i] :
( ( ( observational_period @ SV3 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV4: $i] :
( ( ( observational_period @ SV4 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( observational_period @ SV5 ) )
= $true )
| ( ( ~ ( slow_change @ SV5 )
| ~ ( environment @ SV16 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV17: $i,SV6: $i] :
( ( ( ~ ( observational_period @ SV6 ) )
= $true )
| ( ( ~ ( slow_change @ SV6 )
| ~ ( environment @ SV17 )
| ~ ( in_environment @ SV6 @ SV17 )
| ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( environment @ SV7 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV18 @ ( start_time @ SV7 ) )
| ~ ( greater_or_equal @ ( end_time @ SV7 ) @ SV18 )
| ( in_environment @ SV7 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ( environment @ SV8 ) )
= $true )
| ( ( ~ ( in_environment @ SV8 @ SV19 )
| ( greater_or_equal @ ( end_time @ SV8 ) @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( greater_or_equal @ ( critical_point @ SV9 ) @ ( start_time @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV25: $i,SV20: $i,SV10: $i] :
( ( ~ ( greater @ SV10 @ SV20 )
| ~ ( greater @ SV20 @ SV25 )
| ( greater @ SV10 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV21: $i,SV11: $i] :
( ( ( ~ ( greater_or_equal @ SV11 @ SV21 ) )
= $true )
| ( ( ( greater @ SV11 @ SV21 )
| ( SV11 = SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV22: $i,SV12: $i] :
( ( ( ~ ( greater @ SV12 @ SV22 ) )
= $true )
| ( ( greater_or_equal @ SV12 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV23: $i,SV13: $i] :
( ( ( ~ ( environment @ SV13 ) )
= $true )
| ( ( ~ ( greater @ SV23 @ ( start_time @ SV13 ) )
| ( greater @ SV23 @ ( end_time @ SV13 ) )
| ( greater_or_equal @ ( end_time @ SV13 ) @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV24: $i,SV14: $i] :
( ( ( SV14 != SV24 )
= $true )
| ( ( greater_or_equal @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV15: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( in_environment @ SV1 @ SV15 )
| ~ ( greater @ SV15 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV2: $i] :
( ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV2 ) )
= $true )
| ( ( observational_period @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV3: $i] :
( ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV3 ) )
= $true )
| ( ( observational_period @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV4: $i] :
( ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV4 ) )
= $true )
| ( ( observational_period @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV16: $i,SV5: $i] :
( ( ( observational_period @ SV5 )
= $false )
| ( ( ~ ( slow_change @ SV5 )
| ~ ( environment @ SV16 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV17: $i,SV6: $i] :
( ( ( observational_period @ SV6 )
= $false )
| ( ( ~ ( slow_change @ SV6 )
| ~ ( environment @ SV17 )
| ~ ( in_environment @ SV6 @ SV17 )
| ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV18: $i,SV7: $i] :
( ( ( environment @ SV7 )
= $false )
| ( ( ~ ( greater_or_equal @ SV18 @ ( start_time @ SV7 ) )
| ~ ( greater_or_equal @ ( end_time @ SV7 ) @ SV18 )
| ( in_environment @ SV7 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV19: $i,SV8: $i] :
( ( ( environment @ SV8 )
= $false )
| ( ( ~ ( in_environment @ SV8 @ SV19 )
| ( greater_or_equal @ ( end_time @ SV8 ) @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV25: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( greater @ SV10 @ SV20 ) )
= $true )
| ( ( ~ ( greater @ SV20 @ SV25 )
| ( greater @ SV10 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV21: $i,SV11: $i] :
( ( ( greater_or_equal @ SV11 @ SV21 )
= $false )
| ( ( ( greater @ SV11 @ SV21 )
| ( SV11 = SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV22: $i,SV12: $i] :
( ( ( greater @ SV12 @ SV22 )
= $false )
| ( ( greater_or_equal @ SV12 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV23: $i,SV13: $i] :
( ( ( environment @ SV13 )
= $false )
| ( ( ~ ( greater @ SV23 @ ( start_time @ SV13 ) )
| ( greater @ SV23 @ ( end_time @ SV13 ) )
| ( greater_or_equal @ ( end_time @ SV13 ) @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV24: $i,SV14: $i] :
( ( ( SV14 = SV24 )
= $false )
| ( ( greater_or_equal @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( in_environment @ SV1 @ SV15 ) )
= $true )
| ( ( ~ ( greater @ SV15 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV15 ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV2: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV2 ) )
= $true )
| ( ( observational_period @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV3: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV3 ) )
= $true )
| ( ( observational_period @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV4: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV4 ) )
= $true )
| ( ( observational_period @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( slow_change @ SV5 ) )
= $true )
| ( ( ~ ( environment @ SV16 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) ) )
= $true )
| ( ( observational_period @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV17: $i,SV6: $i] :
( ( ( ~ ( slow_change @ SV6 ) )
= $true )
| ( ( ~ ( environment @ SV17 )
| ~ ( in_environment @ SV6 @ SV17 )
| ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) ) )
= $true )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV7: $i,SV18: $i] :
( ( ( ~ ( greater_or_equal @ SV18 @ ( start_time @ SV7 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV7 ) @ SV18 )
| ( in_environment @ SV7 @ SV18 ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ( in_environment @ SV8 @ SV19 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV8 ) @ SV19 )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV25: $i,SV20: $i,SV10: $i] :
( ( ( greater @ SV10 @ SV20 )
= $false )
| ( ( ~ ( greater @ SV20 @ SV25 )
| ( greater @ SV10 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV21: $i,SV11: $i] :
( ( ( greater @ SV11 @ SV21 )
= $true )
| ( ( SV11 = SV21 )
= $true )
| ( ( greater_or_equal @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(131,plain,
! [SV13: $i,SV23: $i] :
( ( ( ~ ( greater @ SV23 @ ( start_time @ SV13 ) ) )
= $true )
| ( ( ( greater @ SV23 @ ( end_time @ SV13 ) )
| ( greater_or_equal @ ( end_time @ SV13 ) @ SV23 ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV15: $i,SV1: $i] :
( ( ( in_environment @ SV1 @ SV15 )
= $false )
| ( ( ~ ( greater @ SV15 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV15 ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(133,plain,
! [SV2: $i] :
( ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( ( environment @ ( sk1 @ SV2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV2 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV3: $i] :
( ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV3 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV4: $i] :
( ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV4 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(136,plain,
! [SV16: $i,SV5: $i] :
( ( ( slow_change @ SV5 )
= $false )
| ( ( ~ ( environment @ SV16 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) ) )
= $true )
| ( ( observational_period @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(137,plain,
! [SV17: $i,SV6: $i] :
( ( ( slow_change @ SV6 )
= $false )
| ( ( ~ ( environment @ SV17 )
| ~ ( in_environment @ SV6 @ SV17 )
| ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) ) )
= $true )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(138,plain,
! [SV7: $i,SV18: $i] :
( ( ( greater_or_equal @ SV18 @ ( start_time @ SV7 ) )
= $false )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV7 ) @ SV18 )
| ( in_environment @ SV7 @ SV18 ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(139,plain,
! [SV19: $i,SV8: $i] :
( ( ( in_environment @ SV8 @ SV19 )
= $false )
| ( ( greater_or_equal @ ( end_time @ SV8 ) @ SV19 )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(140,plain,
! [SV10: $i,SV25: $i,SV20: $i] :
( ( ( ~ ( greater @ SV20 @ SV25 ) )
= $true )
| ( ( greater @ SV10 @ SV25 )
= $true )
| ( ( greater @ SV10 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(141,plain,
! [SV13: $i,SV23: $i] :
( ( ( greater @ SV23 @ ( start_time @ SV13 ) )
= $false )
| ( ( ( greater @ SV23 @ ( end_time @ SV13 ) )
| ( greater_or_equal @ ( end_time @ SV13 ) @ SV23 ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(142,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( greater @ SV15 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV15 )
= $true )
| ( ( in_environment @ SV1 @ SV15 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(143,plain,
! [SV2: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( ( environment @ ( sk1 @ SV2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV2 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(144,plain,
! [SV3: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV3 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(145,plain,
! [SV4: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV4 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(146,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( environment @ SV16 ) )
= $true )
| ( ( ~ ( in_environment @ SV5 @ SV16 )
| ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) ) )
= $true )
| ( ( slow_change @ SV5 )
= $false )
| ( ( observational_period @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(147,plain,
! [SV6: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( ~ ( in_environment @ SV6 @ SV17 )
| ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) ) )
= $true )
| ( ( slow_change @ SV6 )
= $false )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(148,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( greater_or_equal @ ( end_time @ SV7 ) @ SV18 ) )
= $true )
| ( ( in_environment @ SV7 @ SV18 )
= $true )
| ( ( greater_or_equal @ SV18 @ ( start_time @ SV7 ) )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(149,plain,
! [SV10: $i,SV25: $i,SV20: $i] :
( ( ( greater @ SV20 @ SV25 )
= $false )
| ( ( greater @ SV10 @ SV25 )
= $true )
| ( ( greater @ SV10 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(150,plain,
! [SV13: $i,SV23: $i] :
( ( ( greater @ SV23 @ ( end_time @ SV13 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV13 ) @ SV23 )
= $true )
| ( ( greater @ SV23 @ ( start_time @ SV13 ) )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(151,plain,
! [SV1: $i,SV15: $i] :
( ( ( greater @ SV15 @ ( critical_point @ SV1 ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV15 )
= $true )
| ( ( in_environment @ SV1 @ SV15 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(152,plain,
! [SV2: $i] :
( ( ( environment @ ( sk1 @ SV2 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV2 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV3: $i] :
( ( ( in_environment @ SV3 @ ( sk1 @ SV3 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV3 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV4: $i] :
( ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV4 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(155,plain,
! [SV5: $i,SV16: $i] :
( ( ( environment @ SV16 )
= $false )
| ( ( ~ ( in_environment @ SV5 @ SV16 )
| ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) ) )
= $true )
| ( ( slow_change @ SV5 )
= $false )
| ( ( observational_period @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV6: $i,SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( ~ ( in_environment @ SV6 @ SV17 )
| ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) ) )
= $true )
| ( ( slow_change @ SV6 )
= $false )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(157,plain,
! [SV18: $i,SV7: $i] :
( ( ( greater_or_equal @ ( end_time @ SV7 ) @ SV18 )
= $false )
| ( ( in_environment @ SV7 @ SV18 )
= $true )
| ( ( greater_or_equal @ SV18 @ ( start_time @ SV7 ) )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(158,plain,
! [SV4: $i] :
( ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV4 ) ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV4 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(159,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( in_environment @ SV5 @ SV16 ) )
= $true )
| ( ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) )
= $true )
| ( ( environment @ SV16 )
= $false )
| ( ( slow_change @ SV5 )
= $false )
| ( ( observational_period @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(160,plain,
! [SV17: $i,SV6: $i] :
( ( ( ~ ( in_environment @ SV6 @ SV17 ) )
= $true )
| ( ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) )
= $true )
| ( ( environment @ SV17 )
= $false )
| ( ( slow_change @ SV6 )
= $false )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(161,plain,
! [SV16: $i,SV5: $i] :
( ( ( in_environment @ SV5 @ SV16 )
= $false )
| ( ( in_environment @ SV16 @ ( sk2 @ SV16 @ SV5 ) )
= $true )
| ( ( environment @ SV16 )
= $false )
| ( ( slow_change @ SV5 )
= $false )
| ( ( observational_period @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(162,plain,
! [SV17: $i,SV6: $i] :
( ( ( in_environment @ SV6 @ SV17 )
= $false )
| ( ( greater @ ( sk2 @ SV17 @ SV6 ) @ ( critical_point @ SV17 ) )
= $true )
| ( ( environment @ SV17 )
= $false )
| ( ( slow_change @ SV6 )
= $false )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,162,161,158,157,153,152,151,150,149,139,130,120,118,102,78,64,53,52,44]) ).
thf(164,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 12:42:31 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19
% 0.09/0.19 No.of.Axioms: 19
% 0.09/0.19
% 0.09/0.19 Length.of.Defs: 0
% 0.09/0.19
% 0.09/0.19 Contains.Choice.Funs: false
% 0.09/0.19 ..
% 0.09/0.19
% 0.09/0.19 ********************************
% 0.09/0.19 * All subproblems solved! *
% 0.09/0.19 ********************************
% 0.09/0.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:163,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.19
% 0.09/0.19 %**** Beginning of derivation protocol ****
% 0.09/0.19 % SZS output start CNFRefutation
% See solution above
% 0.09/0.19
% 0.09/0.19 %**** End of derivation protocol ****
% 0.09/0.19 %**** no. of clauses in derivation: 164 ****
% 0.09/0.19 %**** clause counter: 163 ****
% 0.09/0.19
% 0.09/0.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:163,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------