TSTP Solution File: MGT039+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.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 22:17:26 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of formulae : 181 ( 79 unt; 16 typ; 0 def)
% Number of atoms : 1331 ( 370 equ; 0 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 2125 ( 356 ~; 408 |; 44 &;1291 @)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 289 ( 0 ^ 287 !; 2 ?; 289 :)
% 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_sK1_P,type,
sK1_P: $i ).
thf(tp_sK2_T,type,
sK2_T: $i > $i > $i ).
thf(tp_sK3_E,type,
sK3_E: $i > $i ).
thf(tp_selection_favors,type,
selection_favors: $i > $i > $i > $o ).
thf(tp_slow_change,type,
slow_change: $i > $o ).
thf(tp_start_time,type,
start_time: $i > $i ).
thf(1,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater @ T @ ( start_time @ E ) )
& ~ ( greater @ T @ ( end_time @ E ) ) )
=> ( greater_or_equal @ ( end_time @ E ) @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_beginning_and_ending) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
thf(4,axiom,
! [E: $i] :
( ( environment @ E )
=> ( greater_or_equal @ ( critical_point @ E ) @ ( start_time @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
thf(5,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( greater_or_equal @ ( end_time @ E ) @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point) ).
thf(6,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( start_time @ E ) )
& ( greater_or_equal @ ( end_time @ E ) @ T ) )
=> ( in_environment @ E @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment) ).
thf(7,axiom,
propagation_strategy @ efficient_producers,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2) ).
thf(8,axiom,
propagation_strategy @ first_movers,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1) ).
thf(9,axiom,
! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ P @ E ) )
=> ? [T: $i] :
( ( in_environment @ E @ T )
& ( greater @ T @ ( critical_point @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point) ).
thf(10,axiom,
! [P: $i] :
( ( ( observational_period @ P )
& ( propagation_strategy @ first_movers )
& ( propagation_strategy @ efficient_producers )
& ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ P @ E ) )
=> ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ E ) ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
thf(11,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ T @ ( critical_point @ E ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8) ).
thf(12,conjecture,
! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8) ).
thf(13,negated_conjecture,
( ( ! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( ! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ) )
= $false ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater @ T @ ( start_time @ E ) )
& ~ ( greater @ T @ ( end_time @ E ) ) )
=> ( greater_or_equal @ ( end_time @ E ) @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [E: $i] :
( ( environment @ E )
=> ( greater_or_equal @ ( critical_point @ E ) @ ( start_time @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( greater_or_equal @ ( end_time @ E ) @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( start_time @ E ) )
& ( greater_or_equal @ ( end_time @ E ) @ T ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( propagation_strategy @ efficient_producers )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( propagation_strategy @ first_movers )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( ! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ P @ E ) )
=> ? [T: $i] :
( ( in_environment @ E @ T )
& ( greater @ T @ ( critical_point @ E ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( ! [P: $i] :
( ( ( observational_period @ P )
& ( propagation_strategy @ first_movers )
& ( propagation_strategy @ efficient_producers )
& ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ P @ E ) )
=> ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ E ) ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ T @ ( critical_point @ E ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(26,plain,
( ( ( ( observational_period @ sK1_P )
& ( slow_change @ sK1_P ) )
=> ( selection_favors @ efficient_producers @ first_movers @ sK1_P ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(27,plain,
( ( observational_period @ sK1_P )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(28,plain,
( ( slow_change @ sK1_P )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(29,plain,
( ( selection_favors @ efficient_producers @ first_movers @ sK1_P )
= $false ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sK1_P ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(31,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater @ T @ ( start_time @ E ) )
| ( greater @ T @ ( end_time @ E ) )
| ( greater_or_equal @ ( end_time @ E ) @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( greater_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ Z )
| ( greater @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(34,plain,
( ( ! [E: $i] :
( ~ ( environment @ E )
| ( greater_or_equal @ ( critical_point @ E ) @ ( start_time @ E ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(35,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater_or_equal @ ( end_time @ E ) @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(36,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater_or_equal @ T @ ( start_time @ E ) )
| ~ ( greater_or_equal @ ( end_time @ E ) @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(37,plain,
( ( ! [P: $i] :
( ~ ( observational_period @ P )
| ~ ( slow_change @ P )
| ! [E: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ P @ E )
| ( ( greater @ ( sK2_T @ E @ P ) @ ( critical_point @ E ) )
& ( in_environment @ E @ ( sK2_T @ E @ P ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(38,plain,
( ( ! [P: $i] :
( ( ( environment @ ( sK3_E @ P ) )
& ( in_environment @ P @ ( sK3_E @ P ) )
& ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ P ) ) ) )
| ~ ( observational_period @ P )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( selection_favors @ efficient_producers @ first_movers @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(39,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ T @ ( critical_point @ E ) )
| ( selection_favors @ efficient_producers @ first_movers @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(40,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ T @ ( critical_point @ E ) )
| ( selection_favors @ efficient_producers @ first_movers @ T ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(41,plain,
( ( ! [P: $i] :
( ( ( environment @ ( sK3_E @ P ) )
& ( in_environment @ P @ ( sK3_E @ P ) )
& ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ P ) ) ) )
| ~ ( observational_period @ P )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( selection_favors @ efficient_producers @ first_movers @ P ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(42,plain,
( ( ! [P: $i] :
( ~ ( observational_period @ P )
| ~ ( slow_change @ P )
| ! [E: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ P @ E )
| ( ( greater @ ( sK2_T @ E @ P ) @ ( critical_point @ E ) )
& ( in_environment @ E @ ( sK2_T @ E @ P ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(43,plain,
( ( propagation_strategy @ first_movers )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(44,plain,
( ( propagation_strategy @ efficient_producers )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(45,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater_or_equal @ T @ ( start_time @ E ) )
| ~ ( greater_or_equal @ ( end_time @ E ) @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(46,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater_or_equal @ ( end_time @ E ) @ T ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(47,plain,
( ( ! [E: $i] :
( ~ ( environment @ E )
| ( greater_or_equal @ ( critical_point @ E ) @ ( start_time @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ Z )
| ( greater @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( greater_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(50,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater @ T @ ( start_time @ E ) )
| ( greater @ T @ ( end_time @ E ) )
| ( greater_or_equal @ ( end_time @ E ) @ T ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(51,plain,
( ( slow_change @ sK1_P )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(52,plain,
( ( observational_period @ sK1_P )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(53,plain,
( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sK1_P ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(54,plain,
( ( ! [SX0: $i] :
( ~ ( observational_period @ SX0 )
| ~ ( slow_change @ SX0 )
| ! [SX1: $i] :
( ~ ( environment @ SX1 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( ~ ( greater @ ( sK2_T @ SX1 @ SX0 ) @ ( critical_point @ SX1 ) )
| ~ ( in_environment @ SX1 @ ( sK2_T @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(55,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( environment @ ( sK3_E @ SX0 ) )
| ~ ( in_environment @ SX0 @ ( sK3_E @ SX0 ) ) )
| ~ ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SX0 ) ) ) )
| ~ ( observational_period @ SX0 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( selection_favors @ efficient_producers @ first_movers @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(56,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(57,plain,
! [SV1: $i] :
( ( ! [SY20: $i] :
( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SY20 )
| ~ ( greater @ SY20 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(58,plain,
! [SV2: $i] :
( ( ! [SY21: $i] :
( ~ ( environment @ SV2 )
| ~ ( greater_or_equal @ SY21 @ ( start_time @ SV2 ) )
| ~ ( greater_or_equal @ ( end_time @ SV2 ) @ SY21 )
| ( in_environment @ SV2 @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(59,plain,
! [SV3: $i] :
( ( ! [SY22: $i] :
( ~ ( environment @ SV3 )
| ~ ( in_environment @ SV3 @ SY22 )
| ( greater_or_equal @ ( end_time @ SV3 ) @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(60,plain,
! [SV4: $i] :
( ( ~ ( environment @ SV4 )
| ( greater_or_equal @ ( critical_point @ SV4 ) @ ( start_time @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(61,plain,
! [SV5: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ~ ( greater @ SV5 @ SY23 )
| ~ ( greater @ SY23 @ SY24 )
| ( greater @ SV5 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(62,plain,
! [SV6: $i] :
( ( ! [SY25: $i] :
( ~ ( environment @ SV6 )
| ~ ( greater @ SY25 @ ( start_time @ SV6 ) )
| ( greater @ SY25 @ ( end_time @ SV6 ) )
| ( greater_or_equal @ ( end_time @ SV6 ) @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(63,plain,
( ( selection_favors @ efficient_producers @ first_movers @ sK1_P )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(64,plain,
! [SV7: $i] :
( ( ~ ( observational_period @ SV7 )
| ~ ( slow_change @ SV7 )
| ! [SY26: $i] :
( ~ ( environment @ SY26 )
| ~ ( in_environment @ SV7 @ SY26 )
| ~ ( ~ ( greater @ ( sK2_T @ SY26 @ SV7 ) @ ( critical_point @ SY26 ) )
| ~ ( in_environment @ SY26 @ ( sK2_T @ SY26 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( ~ ( environment @ ( sK3_E @ SV8 ) )
| ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) )
| ~ ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) ) )
| ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(66,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV9: $i,SV1: $i] :
( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV9 )
| ~ ( greater @ SV9 @ ( critical_point @ SV1 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV10: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( greater_or_equal @ SV10 @ ( start_time @ SV2 ) )
| ~ ( greater_or_equal @ ( end_time @ SV2 ) @ SV10 )
| ( in_environment @ SV2 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV11: $i,SV3: $i] :
( ( ~ ( environment @ SV3 )
| ~ ( in_environment @ SV3 @ SV11 )
| ( greater_or_equal @ ( end_time @ SV3 ) @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( greater_or_equal @ ( critical_point @ SV4 ) @ ( start_time @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV12: $i,SV5: $i] :
( ( ! [SY27: $i] :
( ~ ( greater @ SV5 @ SV12 )
| ~ ( greater @ SV12 @ SY27 )
| ( greater @ SV5 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( environment @ SV6 )
| ~ ( greater @ SV13 @ ( start_time @ SV6 ) )
| ( greater @ SV13 @ ( end_time @ SV6 ) )
| ( greater_or_equal @ ( end_time @ SV6 ) @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV7: $i] :
( ( ( ~ ( observational_period @ SV7 )
| ~ ( slow_change @ SV7 ) )
= $true )
| ( ( ! [SY26: $i] :
( ~ ( environment @ SY26 )
| ~ ( in_environment @ SV7 @ SY26 )
| ~ ( ~ ( greater @ ( sK2_T @ SY26 @ SV7 ) @ ( critical_point @ SY26 ) )
| ~ ( in_environment @ SY26 @ ( sK2_T @ SY26 @ SV7 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ ( sK3_E @ SV8 ) )
| ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) )
| ~ ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) ) )
| ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(75,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(76,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(77,plain,
! [SV9: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV9 )
| ~ ( greater @ SV9 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV10: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( greater_or_equal @ SV10 @ ( start_time @ SV2 ) )
| ~ ( greater_or_equal @ ( end_time @ SV2 ) @ SV10 ) )
= $true )
| ( ( in_environment @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV11: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 )
| ~ ( in_environment @ SV3 @ SV11 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV3 ) @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( greater_or_equal @ ( critical_point @ SV4 ) @ ( start_time @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV14: $i,SV12: $i,SV5: $i] :
( ( ~ ( greater @ SV5 @ SV12 )
| ~ ( greater @ SV12 @ SV14 )
| ( greater @ SV5 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( environment @ SV6 )
| ~ ( greater @ SV13 @ ( start_time @ SV6 ) )
| ( greater @ SV13 @ ( end_time @ SV6 ) ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV6 ) @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV7: $i] :
( ( ( ~ ( observational_period @ SV7 ) )
= $true )
| ( ( ~ ( slow_change @ SV7 ) )
= $true )
| ( ( ! [SY26: $i] :
( ~ ( environment @ SY26 )
| ~ ( in_environment @ SV7 @ SY26 )
| ~ ( ~ ( greater @ ( sK2_T @ SY26 @ SV7 ) @ ( critical_point @ SY26 ) )
| ~ ( in_environment @ SY26 @ ( sK2_T @ SY26 @ SV7 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ ( sK3_E @ SV8 ) )
| ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) )
| ~ ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) ) ) )
= $true )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(85,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(86,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(87,plain,
! [SV9: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV9 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV10: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( greater_or_equal @ SV10 @ ( start_time @ SV2 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV2 ) @ SV10 ) )
= $true )
| ( ( in_environment @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV11: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ~ ( in_environment @ SV3 @ SV11 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV3 ) @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV14: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( greater @ SV5 @ SV12 )
| ~ ( greater @ SV12 @ SV14 ) )
= $true )
| ( ( greater @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(91,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( environment @ SV6 )
| ~ ( greater @ SV13 @ ( start_time @ SV6 ) ) )
= $true )
| ( ( greater @ SV13 @ ( end_time @ SV6 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV6 ) @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(92,plain,
! [SV7: $i] :
( ( ( observational_period @ SV7 )
= $false )
| ( ( ~ ( slow_change @ SV7 ) )
= $true )
| ( ( ! [SY26: $i] :
( ~ ( environment @ SY26 )
| ~ ( in_environment @ SV7 @ SY26 )
| ~ ( ~ ( greater @ ( sK2_T @ SY26 @ SV7 ) @ ( critical_point @ SY26 ) )
| ~ ( in_environment @ SY26 @ ( sK2_T @ SY26 @ SV7 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(93,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( environment @ ( sK3_E @ SV8 ) )
| ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) )
| ~ ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) ) )
= $false )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(94,plain,
! [SV15: $i] :
( ( ! [SY28: $i] :
( ~ ( greater_or_equal @ SV15 @ SY28 )
| ( SV15 = SY28 )
| ( greater @ SV15 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(95,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(96,plain,
! [SV9: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( in_environment @ SV1 @ SV9 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(97,plain,
! [SV10: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV10 @ ( start_time @ SV2 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV2 ) @ SV10 ) )
= $true )
| ( ( in_environment @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(98,plain,
! [SV11: $i,SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ~ ( in_environment @ SV3 @ SV11 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV3 ) @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(99,plain,
! [SV14: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( greater @ SV5 @ SV12 ) )
= $true )
| ( ( ~ ( greater @ SV12 @ SV14 ) )
= $true )
| ( ( greater @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(100,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ~ ( greater @ SV13 @ ( start_time @ SV6 ) ) )
= $true )
| ( ( greater @ SV13 @ ( end_time @ SV6 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV6 ) @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV7: $i] :
( ( ( slow_change @ SV7 )
= $false )
| ( ( observational_period @ SV7 )
= $false )
| ( ( ! [SY26: $i] :
( ~ ( environment @ SY26 )
| ~ ( in_environment @ SV7 @ SY26 )
| ~ ( ~ ( greater @ ( sK2_T @ SY26 @ SV7 ) @ ( critical_point @ SY26 ) )
| ~ ( in_environment @ SY26 @ ( sK2_T @ SY26 @ SV7 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( environment @ ( sK3_E @ SV8 ) )
| ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) ) )
= $false )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(103,plain,
! [SV8: $i] :
( ( ( ~ ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) ) )
= $false )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(104,plain,
! [SV16: $i,SV15: $i] :
( ( ~ ( greater_or_equal @ SV15 @ SV16 )
| ( SV15 = SV16 )
| ( greater @ SV15 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(105,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(106,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(107,plain,
! [SV9: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( in_environment @ SV1 @ SV9 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV10: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( greater_or_equal @ SV10 @ ( start_time @ SV2 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV2 ) @ SV10 ) )
= $true )
| ( ( in_environment @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV11: $i,SV3: $i] :
( ( ( in_environment @ SV3 @ SV11 )
= $false )
| ( ( environment @ SV3 )
= $false )
| ( ( greater_or_equal @ ( end_time @ SV3 ) @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV14: $i,SV12: $i,SV5: $i] :
( ( ( greater @ SV5 @ SV12 )
= $false )
| ( ( ~ ( greater @ SV12 @ SV14 ) )
= $true )
| ( ( greater @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(111,plain,
! [SV13: $i,SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ~ ( greater @ SV13 @ ( start_time @ SV6 ) ) )
= $true )
| ( ( greater @ SV13 @ ( end_time @ SV6 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV6 ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(112,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 )
| ~ ( in_environment @ SV7 @ SV17 )
| ~ ( ~ ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) )
| ~ ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) ) ) )
= $true )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(113,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( environment @ ( sK3_E @ SV8 ) )
| ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) ) )
= $true )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(114,plain,
! [SV8: $i] :
( ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) ) )
= $true )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(115,plain,
! [SV16: $i,SV15: $i] :
( ( ( ~ ( greater_or_equal @ SV15 @ SV16 ) )
= $true )
| ( ( ( SV15 = SV16 )
| ( greater @ SV15 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(116,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(117,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(118,plain,
! [SV9: $i,SV1: $i] :
( ( ( in_environment @ SV1 @ SV9 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( ~ ( greater @ SV9 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(119,plain,
! [SV2: $i,SV10: $i] :
( ( ( greater_or_equal @ SV10 @ ( start_time @ SV2 ) )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV2 ) @ SV10 ) )
= $true )
| ( ( in_environment @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(120,plain,
! [SV5: $i,SV14: $i,SV12: $i] :
( ( ( greater @ SV12 @ SV14 )
= $false )
| ( ( greater @ SV5 @ SV12 )
= $false )
| ( ( greater @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV6: $i,SV13: $i] :
( ( ( greater @ SV13 @ ( start_time @ SV6 ) )
= $false )
| ( ( environment @ SV6 )
= $false )
| ( ( greater @ SV13 @ ( end_time @ SV6 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV6 ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(122,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 )
| ~ ( in_environment @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) )
| ~ ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) ) ) )
= $true )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(123,plain,
! [SV8: $i] :
( ( ( ~ ( environment @ ( sK3_E @ SV8 ) )
| ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(124,plain,
! [SV8: $i] :
( ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(125,plain,
! [SV16: $i,SV15: $i] :
( ( ( greater_or_equal @ SV15 @ SV16 )
= $false )
| ( ( ( SV15 = SV16 )
| ( greater @ SV15 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(126,plain,
! [SV18: $i] :
( ( ! [SY29: $i] :
( ( SV18 != SY29 )
| ( greater_or_equal @ SV18 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(127,plain,
! [SV19: $i] :
( ( ! [SY30: $i] :
( ~ ( greater @ SV19 @ SY30 )
| ( greater_or_equal @ SV19 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(128,plain,
! [SV1: $i,SV9: $i] :
( ( ( greater @ SV9 @ ( critical_point @ SV1 ) )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( in_environment @ SV1 @ SV9 )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(129,plain,
! [SV10: $i,SV2: $i] :
( ( ( greater_or_equal @ ( end_time @ SV2 ) @ SV10 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( greater_or_equal @ SV10 @ ( start_time @ SV2 ) )
= $false )
| ( ( in_environment @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( ~ ( in_environment @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) )
| ~ ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) ) ) )
= $true )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(131,plain,
! [SV8: $i] :
( ( ( ~ ( environment @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(132,plain,
! [SV8: $i] :
( ( ( ~ ( in_environment @ SV8 @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(133,plain,
! [SV8: $i] :
( ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV16: $i,SV15: $i] :
( ( ( SV15 = SV16 )
= $true )
| ( ( greater @ SV15 @ SV16 )
= $true )
| ( ( greater_or_equal @ SV15 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(135,plain,
! [SV20: $i,SV18: $i] :
( ( ( SV18 != SV20 )
| ( greater_or_equal @ SV18 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(136,plain,
! [SV21: $i,SV19: $i] :
( ( ~ ( greater @ SV19 @ SV21 )
| ( greater_or_equal @ SV19 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(137,plain,
! [SV7: $i,SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( ~ ( in_environment @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) )
| ~ ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) ) ) )
= $true )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(138,plain,
! [SV8: $i] :
( ( ( environment @ ( sK3_E @ SV8 ) )
= $true )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(139,plain,
! [SV8: $i] :
( ( ( in_environment @ SV8 @ ( sK3_E @ SV8 ) )
= $true )
| ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(140,plain,
! [SV8: $i] :
( ( ( ~ ( observational_period @ SV8 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV20: $i,SV18: $i] :
( ( ( ( SV18 != SV20 ) )
= $true )
| ( ( greater_or_equal @ SV18 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(142,plain,
! [SV21: $i,SV19: $i] :
( ( ( ~ ( greater @ SV19 @ SV21 ) )
= $true )
| ( ( greater_or_equal @ SV19 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(143,plain,
! [SV17: $i,SV7: $i] :
( ( ( in_environment @ SV7 @ SV17 )
= $false )
| ( ( environment @ SV17 )
= $false )
| ( ( ~ ( ~ ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) )
| ~ ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) ) ) )
= $true )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(144,plain,
! [SV8: $i] :
( ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( environment @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(145,plain,
! [SV8: $i] :
( ( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( in_environment @ SV8 @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV8: $i] :
( ( ( observational_period @ SV8 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV20: $i,SV18: $i] :
( ( ( SV18 = SV20 )
= $false )
| ( ( greater_or_equal @ SV18 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV21: $i,SV19: $i] :
( ( ( greater @ SV19 @ SV21 )
= $false )
| ( ( greater_or_equal @ SV19 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) )
| ~ ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) ) )
= $false )
| ( ( environment @ SV17 )
= $false )
| ( ( in_environment @ SV7 @ SV17 )
= $false )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(150,plain,
! [SV8: $i] :
( ( ( ~ ( observational_period @ SV8 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( environment @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(151,plain,
! [SV8: $i] :
( ( ( ~ ( observational_period @ SV8 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( in_environment @ SV8 @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(152,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV8 )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(153,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) ) )
= $false )
| ( ( environment @ SV17 )
= $false )
| ( ( in_environment @ SV7 @ SV17 )
= $false )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(154,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) ) )
= $false )
| ( ( environment @ SV17 )
= $false )
| ( ( in_environment @ SV7 @ SV17 )
= $false )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(155,plain,
! [SV8: $i] :
( ( ( observational_period @ SV8 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( environment @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(156,plain,
! [SV8: $i] :
( ( ( observational_period @ SV8 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( in_environment @ SV8 @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(157,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( observational_period @ SV8 )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sK3_E @ SV8 ) ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(158,plain,
! [SV7: $i,SV17: $i] :
( ( ( greater @ ( sK2_T @ SV17 @ SV7 ) @ ( critical_point @ SV17 ) )
= $true )
| ( ( environment @ SV17 )
= $false )
| ( ( in_environment @ SV7 @ SV17 )
= $false )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(159,plain,
! [SV7: $i,SV17: $i] :
( ( ( in_environment @ SV17 @ ( sK2_T @ SV17 @ SV7 ) )
= $true )
| ( ( environment @ SV17 )
= $false )
| ( ( in_environment @ SV7 @ SV17 )
= $false )
| ( ( observational_period @ SV7 )
= $false )
| ( ( slow_change @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(160,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV8 )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( environment @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(161,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV8 )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( in_environment @ SV8 @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(162,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( observational_period @ SV8 )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( environment @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(163,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( observational_period @ SV8 )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( in_environment @ SV8 @ ( sK3_E @ SV8 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(164,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,163,162,159,158,157,148,147,134,129,128,121,120,109,80,63,52,51,44]) ).
thf(165,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n018.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 07:56:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35
% 0.20/0.35 No.of.Axioms: 11
% 0.20/0.35
% 0.20/0.35 Length.of.Defs: 0
% 0.20/0.35
% 0.20/0.35 Contains.Choice.Funs: false
% 0.20/0.36 (rf:0,axioms:11,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:13,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.49
% 0.20/0.49 ********************************
% 0.20/0.49 * All subproblems solved! *
% 0.20/0.49 ********************************
% 0.20/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:164,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.51
% 0.20/0.51 %**** Beginning of derivation protocol ****
% 0.20/0.51 % SZS output start CNFRefutation
% See solution above
% 0.20/0.51
% 0.20/0.51 %**** End of derivation protocol ****
% 0.20/0.51 %**** no. of clauses in derivation: 165 ****
% 0.20/0.51 %**** clause counter: 164 ****
% 0.20/0.51
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:164,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------