TSTP Solution File: MGT023-2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT023-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 : Unsatisfiable 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 32
% Syntax : Number of formulae : 94 ( 12 unt; 15 typ; 0 def)
% Number of atoms : 275 ( 44 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 308 ( 112 ~; 196 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 69 ( 0 sgn; 0 !; 0 ?; 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,
sk1: ( $i * $i ) > $i ).
tff(decl_27,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
sk2: $i > $i ).
tff(decl_29,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_30,type,
growth_rate: ( $i * $i ) > $i ).
tff(decl_31,type,
greater: ( $i * $i ) > $o ).
tff(decl_32,type,
sk3: ( $i * $i ) > $i ).
tff(decl_33,type,
critical_point: $i > $i ).
tff(decl_34,type,
stable: $i > $o ).
tff(decl_35,type,
sk4: $i > $i ).
tff(decl_36,type,
sk5: $i ).
cnf(l1_31,hypothesis,
( in_environment(X1,sk4(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_31) ).
cnf(prove_l5_34,negated_conjecture,
stable(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_34) ).
cnf(prove_l5_33,negated_conjecture,
environment(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_33) ).
cnf(mp_earliest_time_growth_rate_exceeds_20,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
cnf(mp_earliest_time_growth_rate_exceeds_19,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
cnf(d1_29,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater(sk3(X2,X1),X2)
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_29) ).
cnf(l1_32,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,sk4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_32) ).
cnf(mp_earliest_time_growth_rate_exceeds_25,axiom,
( in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
cnf(mp_earliest_time_growth_rate_exceeds_23,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
cnf(mp_earliest_time_growth_rate_exceeds_21,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
cnf(mp_earliest_time_growth_rate_exceeds_26,axiom,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
cnf(mp_earliest_time_growth_rate_exceeds_24,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
cnf(mp_earliest_time_growth_rate_exceeds_22,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
cnf(mp_earliest_time_growth_rate_exceeds_27,axiom,
( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
cnf(d1_28,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,sk3(X2,X1))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_28) ).
cnf(d1_30,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk3(X2,X1)),growth_rate(first_movers,sk3(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_30) ).
cnf(prove_l5_35,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_35) ).
cnf(c_0_17,hypothesis,
( in_environment(X1,sk4(X1))
| ~ environment(X1)
| ~ stable(X1) ),
l1_31 ).
cnf(c_0_18,negated_conjecture,
stable(sk5),
prove_l5_34 ).
cnf(c_0_19,negated_conjecture,
environment(sk5),
prove_l5_33 ).
cnf(c_0_20,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_earliest_time_growth_rate_exceeds_20 ).
cnf(c_0_21,negated_conjecture,
in_environment(sk5,sk4(sk5)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_earliest_time_growth_rate_exceeds_19 ).
cnf(c_0_23,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater(sk3(X2,X1),X2)
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
d1_29 ).
cnf(c_0_24,negated_conjecture,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19])]) ).
cnf(c_0_25,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_19])]) ).
cnf(c_0_26,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,sk4(X1)) ),
l1_32 ).
cnf(c_0_27,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19])]) ).
cnf(c_0_28,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_25]),c_0_19])]) ).
cnf(c_0_29,axiom,
( in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
mp_earliest_time_growth_rate_exceeds_25 ).
cnf(c_0_30,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_18]),c_0_19])]),c_0_28]) ).
cnf(c_0_31,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_21]),c_0_19])]) ).
cnf(c_0_32,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
mp_earliest_time_growth_rate_exceeds_23 ).
cnf(c_0_33,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_19])]) ).
cnf(c_0_34,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
mp_earliest_time_growth_rate_exceeds_21 ).
cnf(c_0_35,axiom,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
mp_earliest_time_growth_rate_exceeds_26 ).
cnf(c_0_36,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(X1,sk5),X1)
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_19])]) ).
cnf(c_0_37,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_33]),c_0_19])]) ).
cnf(c_0_38,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk5)),growth_rate(first_movers,sk1(X1,sk5)))
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_19])]) ).
cnf(c_0_39,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
cnf(c_0_40,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(spm,[status(thm)],[c_0_37,c_0_21]) ).
cnf(c_0_41,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(spm,[status(thm)],[c_0_38,c_0_21]) ).
cnf(c_0_42,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
mp_earliest_time_growth_rate_exceeds_24 ).
cnf(c_0_43,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
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_26,c_0_39]),c_0_18]),c_0_19])]),c_0_40]),c_0_41]) ).
cnf(c_0_44,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
mp_earliest_time_growth_rate_exceeds_22 ).
cnf(c_0_45,axiom,
( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
mp_earliest_time_growth_rate_exceeds_27 ).
cnf(c_0_46,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater_or_equal(sk1(X1,sk5),X1)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_19])]) ).
cnf(c_0_47,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_43]),c_0_19])]) ).
cnf(c_0_48,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk5)),growth_rate(first_movers,sk1(X1,sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_19])]) ).
cnf(c_0_49,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,sk3(X2,X1))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
d1_28 ).
cnf(c_0_50,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(spm,[status(thm)],[c_0_46,c_0_21]) ).
cnf(c_0_51,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(spm,[status(thm)],[c_0_47,c_0_21]) ).
cnf(c_0_52,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(spm,[status(thm)],[c_0_48,c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_24]),c_0_19])]) ).
cnf(c_0_54,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_25]),c_0_19])]) ).
cnf(c_0_55,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
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_26,c_0_50]),c_0_18]),c_0_19])]),c_0_51]),c_0_52]) ).
cnf(c_0_56,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_53]),c_0_18]),c_0_19])]),c_0_54]) ).
cnf(c_0_57,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk3(X2,X1)),growth_rate(first_movers,sk3(X2,X1))) ),
d1_30 ).
cnf(c_0_58,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_19])]) ).
cnf(c_0_60,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(spm,[status(thm)],[c_0_59,c_0_24]) ).
cnf(c_0_61,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_60]),c_0_18]),c_0_19])]) ).
cnf(c_0_62,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_25]),c_0_61]) ).
cnf(c_0_63,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_62]),c_0_21]),c_0_19])]) ).
cnf(c_0_64,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_63]),c_0_19])]) ).
cnf(c_0_65,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(spm,[status(thm)],[c_0_55,c_0_64]) ).
cnf(c_0_66,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_65]),c_0_19])]),c_0_63]) ).
cnf(c_0_67,hypothesis,
( sk2(sk5) = critical_point(sk5)
| greater_or_equal(sk1(X1,sk5),X1)
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_66]),c_0_19])]) ).
cnf(c_0_68,hypothesis,
( sk2(sk5) = critical_point(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_66]),c_0_19])]) ).
cnf(c_0_69,hypothesis,
( sk2(sk5) = critical_point(sk5)
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk5)),growth_rate(first_movers,sk1(X1,sk5)))
| ~ in_environment(sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_66]),c_0_19])]) ).
cnf(c_0_70,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(spm,[status(thm)],[c_0_67,c_0_21]) ).
cnf(c_0_71,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(spm,[status(thm)],[c_0_68,c_0_21]) ).
cnf(c_0_72,negated_conjecture,
( sk2(sk5) = critical_point(sk5)
| ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(spm,[status(thm)],[c_0_69,c_0_21]) ).
cnf(c_0_73,hypothesis,
sk2(sk5) = critical_point(sk5),
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_26,c_0_70]),c_0_18]),c_0_19])]),c_0_71]),c_0_72]) ).
cnf(c_0_74,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
prove_l5_35 ).
cnf(c_0_75,negated_conjecture,
greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_73]),c_0_74]) ).
cnf(c_0_76,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_73]),c_0_74]) ).
cnf(c_0_77,hypothesis,
greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))),
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_26,c_0_75]),c_0_18]),c_0_19])]),c_0_76])]) ).
cnf(c_0_78,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_29,c_0_77]),c_0_73]),c_0_21]),c_0_19])]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT023-2 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:17:36 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.58 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 : 0.012000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.015000 s
%------------------------------------------------------------------------------