TSTP Solution File: MGT023+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:07:23 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 19
% Syntax : Number of formulae : 88 ( 9 unt; 15 typ; 0 def)
% Number of atoms : 321 ( 46 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 365 ( 117 ~; 196 |; 38 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 12 >; 9 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn; 23 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
environment: $i > $o ).
tff(decl_23,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_24,type,
first_movers: $i ).
tff(decl_25,type,
efficient_producers: $i ).
tff(decl_26,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_28,type,
growth_rate: ( $i * $i ) > $i ).
tff(decl_29,type,
greater: ( $i * $i ) > $o ).
tff(decl_30,type,
critical_point: $i > $i ).
tff(decl_31,type,
stable: $i > $o ).
tff(decl_32,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_33,type,
esk2_1: $i > $i ).
tff(decl_34,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk4_1: $i > $i ).
tff(decl_36,type,
esk5_0: $i ).
fof(prove_l5,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5) ).
fof(mp_earliest_time_growth_rate_exceeds,axiom,
! [X1] :
( ( environment(X1)
& ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
fof(l1,hypothesis,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(d1,hypothesis,
! [X1,X2] :
( ( environment(X1)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) )
=> X2 = critical_point(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
inference(assume_negation,[status(cth)],[prove_l5]) ).
fof(c_0_5,plain,
! [X1] :
( ( environment(X1)
& ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds]) ).
fof(c_0_6,hypothesis,
! [X12,X14] :
( ( in_environment(X12,esk4_1(X12))
| ~ environment(X12)
| ~ stable(X12) )
& ( ~ subpopulations(first_movers,efficient_producers,X12,X14)
| ~ greater_or_equal(X14,esk4_1(X12))
| greater(growth_rate(efficient_producers,X14),growth_rate(first_movers,X14))
| ~ environment(X12)
| ~ stable(X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l1])])])])]) ).
fof(c_0_7,negated_conjecture,
( environment(esk5_0)
& stable(esk5_0)
& ~ in_environment(esk5_0,critical_point(esk5_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,hypothesis,
! [X1,X2] :
( ( environment(X1)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) )
=> X2 = critical_point(X1) ),
inference(fof_simplification,[status(thm)],[d1]) ).
fof(c_0_9,plain,
! [X4,X5,X8] :
( ( in_environment(X4,esk2_1(X4))
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4)))
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk2_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( in_environment(X4,esk2_1(X4))
| greater_or_equal(esk1_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4)))
| greater_or_equal(esk1_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk2_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| greater_or_equal(esk1_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( in_environment(X4,esk2_1(X4))
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk2_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_10,hypothesis,
( in_environment(X1,esk4_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
stable(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
environment(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,hypothesis,
! [X9,X10] :
( ( subpopulations(first_movers,efficient_producers,X9,esk3_2(X9,X10))
| ~ environment(X9)
| greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
| ~ in_environment(X9,X10)
| X10 = critical_point(X9) )
& ( greater(esk3_2(X9,X10),X10)
| ~ environment(X9)
| greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
| ~ in_environment(X9,X10)
| X10 = critical_point(X9) )
& ( ~ greater(growth_rate(efficient_producers,esk3_2(X9,X10)),growth_rate(first_movers,esk3_2(X9,X10)))
| ~ environment(X9)
| greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
| ~ in_environment(X9,X10)
| X10 = critical_point(X9) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_14,plain,
( in_environment(X1,esk2_1(X1))
| greater_or_equal(esk1_2(X1,X2),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
in_environment(esk5_0,esk4_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_16,plain,
( in_environment(X1,esk2_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,hypothesis,
( greater(esk3_2(X1,X2),X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_12])]) ).
cnf(c_0_19,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_12])]) ).
cnf(c_0_20,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,esk4_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12])]) ).
cnf(c_0_22,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_19]),c_0_12])]) ).
cnf(c_0_23,plain,
( in_environment(X1,esk2_1(X1))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]),c_0_12])]),c_0_22]) ).
cnf(c_0_25,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15]),c_0_12])]) ).
cnf(c_0_26,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_25]),c_0_12])]) ).
cnf(c_0_28,plain,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,plain,
( ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_12])]) ).
cnf(c_0_31,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_27]),c_0_12])]) ).
cnf(c_0_32,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,X1)),growth_rate(first_movers,esk1_2(esk5_0,X1)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_12])]) ).
cnf(c_0_33,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_35,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_36,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater_or_equal(esk1_2(X1,X3),X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_33]),c_0_11]),c_0_12])]),c_0_34]),c_0_35]) ).
cnf(c_0_38,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X3))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X3)),growth_rate(first_movers,esk1_2(X1,X3)))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_12])]) ).
cnf(c_0_41,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_12])]) ).
cnf(c_0_42,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,X1)),growth_rate(first_movers,esk1_2(esk5_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_12])]) ).
cnf(c_0_43,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,esk3_2(X1,X2))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_44,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_15]) ).
cnf(c_0_46,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_47,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0))
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_18]),c_0_12])]) ).
cnf(c_0_48,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_19]),c_0_12])]) ).
cnf(c_0_49,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_44]),c_0_11]),c_0_12])]),c_0_45]),c_0_46]) ).
cnf(c_0_50,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_47]),c_0_11]),c_0_12])]),c_0_48]) ).
cnf(c_0_51,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ greater(growth_rate(efficient_producers,esk3_2(X1,X2)),growth_rate(first_movers,esk3_2(X1,X2)))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| ~ in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_12])]) ).
cnf(c_0_54,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_18]) ).
cnf(c_0_55,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_54]),c_0_11]),c_0_12])]) ).
cnf(c_0_56,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_19]),c_0_55]) ).
cnf(c_0_57,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_56]),c_0_15]),c_0_12])]) ).
cnf(c_0_58,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_57]),c_0_12])]) ).
cnf(c_0_59,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
cnf(c_0_60,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_59]),c_0_12])]),c_0_57]) ).
cnf(c_0_61,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_60]),c_0_12])]) ).
cnf(c_0_62,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_60]),c_0_12])]) ).
cnf(c_0_63,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,X1)),growth_rate(first_movers,esk1_2(esk5_0,X1)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_60]),c_0_12])]) ).
cnf(c_0_64,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_15]) ).
cnf(c_0_65,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_62,c_0_15]) ).
cnf(c_0_66,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_63,c_0_15]) ).
cnf(c_0_67,hypothesis,
esk2_1(esk5_0) = critical_point(esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_64]),c_0_11]),c_0_12])]),c_0_65]),c_0_66]) ).
cnf(c_0_68,negated_conjecture,
~ in_environment(esk5_0,critical_point(esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_69,negated_conjecture,
greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_67]),c_0_68]) ).
cnf(c_0_70,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_67]),c_0_68]) ).
cnf(c_0_71,hypothesis,
greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_69]),c_0_11]),c_0_12])]),c_0_70])]) ).
cnf(c_0_72,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_71]),c_0_67]),c_0_15]),c_0_12])]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:47:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.015000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.017000 s
%------------------------------------------------------------------------------