TSTP Solution File: MGT025-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 09:07:24 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 40
% Syntax : Number of formulae : 118 ( 18 unt; 17 typ; 0 def)
% Number of atoms : 313 ( 31 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 371 ( 159 ~; 212 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 12 >; 11 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 121 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
environment: $i > $o ).
tff(decl_23,type,
subpopulation: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
cardinality_at_time: ( $i * $i ) > $i ).
tff(decl_25,type,
zero: $i ).
tff(decl_26,type,
greater: ( $i * $i ) > $o ).
tff(decl_27,type,
number_of_organizations: ( $i * $i ) > $i ).
tff(decl_28,type,
first_movers: $i ).
tff(decl_29,type,
efficient_producers: $i ).
tff(decl_30,type,
sum: ( $i * $i ) > $i ).
tff(decl_31,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_32,type,
constant: $i > $o ).
tff(decl_33,type,
increases: $i > $o ).
tff(decl_34,type,
decreases: $i > $o ).
tff(decl_35,type,
growth_rate: ( $i * $i ) > $i ).
tff(decl_36,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
sk1: $i ).
tff(decl_38,type,
sk2: $i ).
cnf(mp_only_members_29,axiom,
( number_of_organizations(X1,X3) = sum(cardinality_at_time(first_movers,X3),cardinality_at_time(efficient_producers,X3))
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| X2 != first_movers ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_only_members_29) ).
cnf(mp_time_point_occur_45,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_45) ).
cnf(prove_l7_48,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_48) ).
cnf(prove_l7_47,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_47) ).
cnf(mp_subpopulations_30,axiom,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_30) ).
cnf(mp_subpopulations_31,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_31) ).
cnf(mp_non_zero_producers_44,axiom,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers_44) ).
cnf(mp_non_zero_producers_43,axiom,
( greater(cardinality_at_time(first_movers,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers_43) ).
cnf(prove_l7_49,negated_conjecture,
constant(number_of_organizations(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_49) ).
cnf(mp_growth_rate_41,axiom,
( greater(growth_rate(X3,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X3,X1,X2)
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ increases(cardinality_at_time(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_41) ).
cnf(mp_abc_sum_increase_36,axiom,
( constant(X3)
| increases(X2)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_36) ).
cnf(mp_abc_sum_increase_37,axiom,
( constant(X3)
| increases(X2)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_37) ).
cnf(prove_l7_52,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_52) ).
cnf(mp_growth_rate_42,axiom,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X3,X1,X2)
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ decreases(cardinality_at_time(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_42) ).
cnf(prove_l7_51,negated_conjecture,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_51) ).
cnf(mp_abc_sum_increase_38,axiom,
( constant(X3)
| decreases(X3)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_38) ).
cnf(mp_abc_sum_increase_32,axiom,
( constant(X2)
| increases(X2)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_32) ).
cnf(mp_growth_rate_40,axiom,
( growth_rate(X3,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X3,X1,X2)
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ constant(cardinality_at_time(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_40) ).
cnf(prove_l7_50,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| growth_rate(efficient_producers,sk2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_50) ).
cnf(mp_abc_sum_increase_39,axiom,
( constant(X3)
| decreases(X3)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_39) ).
cnf(mp_abc_sum_increase_34,axiom,
( constant(X2)
| decreases(X3)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_34) ).
cnf(mp_abc_sum_increase_33,axiom,
( constant(X2)
| increases(X2)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_33) ).
cnf(mp_abc_sum_increase_35,axiom,
( constant(X2)
| decreases(X3)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_35) ).
cnf(c_0_23,axiom,
( number_of_organizations(X1,X3) = sum(cardinality_at_time(first_movers,X3),cardinality_at_time(efficient_producers,X3))
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| X2 != first_movers ),
mp_only_members_29 ).
cnf(c_0_24,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_time_point_occur_45 ).
cnf(c_0_25,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
prove_l7_48 ).
cnf(c_0_26,negated_conjecture,
environment(sk1),
prove_l7_47 ).
cnf(c_0_27,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(first_movers,X1,X2)
| ~ environment(X1) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_28,axiom,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_30 ).
cnf(c_0_29,negated_conjecture,
in_environment(sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_30,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_31 ).
cnf(c_0_31,axiom,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_non_zero_producers_44 ).
cnf(c_0_32,axiom,
( greater(cardinality_at_time(first_movers,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_non_zero_producers_43 ).
cnf(c_0_33,negated_conjecture,
constant(number_of_organizations(sk1,sk2)),
prove_l7_49 ).
cnf(c_0_34,plain,
( number_of_organizations(X1,X2) = number_of_organizations(X3,X2)
| ~ subpopulation(first_movers,X1,X2)
| ~ subpopulation(first_movers,X3,X2)
| ~ environment(X1)
| ~ environment(X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
subpopulation(first_movers,sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]) ).
cnf(c_0_36,axiom,
( greater(growth_rate(X3,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X3,X1,X2)
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ increases(cardinality_at_time(X3,X2)) ),
mp_growth_rate_41 ).
cnf(c_0_37,negated_conjecture,
subpopulation(efficient_producers,sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_29]),c_0_26])]) ).
cnf(c_0_38,negated_conjecture,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_26])]) ).
cnf(c_0_39,axiom,
( constant(X3)
| increases(X2)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_36 ).
cnf(c_0_40,axiom,
( constant(X3)
| increases(X2)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_37 ).
cnf(c_0_41,negated_conjecture,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26])]) ).
cnf(c_0_42,negated_conjecture,
( constant(number_of_organizations(X1,sk2))
| ~ subpopulation(first_movers,X1,sk2)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_26])]) ).
cnf(c_0_43,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
prove_l7_52 ).
cnf(c_0_44,negated_conjecture,
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29]),c_0_38]),c_0_26])]) ).
cnf(c_0_45,axiom,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X3,X1,X2)
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ decreases(cardinality_at_time(X3,X2)) ),
mp_growth_rate_42 ).
cnf(c_0_46,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( increases(X1)
| increases(X2)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
prove_l7_51 ).
cnf(c_0_49,negated_conjecture,
( greater(growth_rate(first_movers,sk2),zero)
| ~ increases(cardinality_at_time(first_movers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_29]),c_0_41]),c_0_26])]) ).
cnf(c_0_50,axiom,
( constant(X3)
| decreases(X3)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_38 ).
cnf(c_0_51,negated_conjecture,
( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| ~ subpopulation(first_movers,X1,sk2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_52,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
( greater(zero,growth_rate(first_movers,sk2))
| ~ decreases(cardinality_at_time(first_movers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_35]),c_0_29]),c_0_41]),c_0_26])]) ).
cnf(c_0_54,plain,
( decreases(cardinality_at_time(first_movers,X1))
| increases(cardinality_at_time(first_movers,X1))
| constant(cardinality_at_time(efficient_producers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulation(first_movers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_27]) ).
cnf(c_0_55,plain,
( increases(cardinality_at_time(efficient_producers,X1))
| increases(cardinality_at_time(first_movers,X1))
| constant(cardinality_at_time(efficient_producers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulation(first_movers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_27]) ).
cnf(c_0_56,axiom,
( constant(X2)
| increases(X2)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_32 ).
cnf(c_0_57,negated_conjecture,
( ~ increases(cardinality_at_time(first_movers,sk2))
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_29]),c_0_38]),c_0_26])]) ).
cnf(c_0_59,plain,
( decreases(X1)
| decreases(X2)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_60,negated_conjecture,
constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_26])]) ).
cnf(c_0_61,negated_conjecture,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_33]),c_0_35]),c_0_26])]) ).
cnf(c_0_63,negated_conjecture,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_33]),c_0_35]),c_0_26])]) ).
cnf(c_0_64,axiom,
( growth_rate(X3,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X3,X1,X2)
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ constant(cardinality_at_time(X3,X2)) ),
mp_growth_rate_40 ).
cnf(c_0_65,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ increases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| growth_rate(efficient_producers,sk2) != zero ),
prove_l7_50 ).
cnf(c_0_70,negated_conjecture,
( growth_rate(efficient_producers,sk2) = zero
| ~ constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_37]),c_0_29]),c_0_38]),c_0_26])]) ).
cnf(c_0_71,plain,
( decreases(cardinality_at_time(first_movers,X1))
| increases(cardinality_at_time(first_movers,X1))
| constant(cardinality_at_time(first_movers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulation(first_movers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_27]) ).
cnf(c_0_72,negated_conjecture,
( growth_rate(first_movers,sk2) = zero
| ~ constant(cardinality_at_time(first_movers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_35]),c_0_29]),c_0_41]),c_0_26])]) ).
cnf(c_0_73,axiom,
( constant(X3)
| decreases(X3)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_39 ).
cnf(c_0_74,negated_conjecture,
( decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| ~ constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,axiom,
( constant(X2)
| decreases(X3)
| decreases(X2)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_34 ).
cnf(c_0_77,axiom,
( constant(X2)
| increases(X2)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_33 ).
cnf(c_0_78,negated_conjecture,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_33]),c_0_35]),c_0_26])]) ).
cnf(c_0_79,negated_conjecture,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_48,c_0_72]) ).
cnf(c_0_80,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( constant(cardinality_at_time(efficient_producers,sk2))
| ~ increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
( greater(zero,zero)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ constant(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_49,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ constant(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_72]) ).
cnf(c_0_84,plain,
( decreases(X1)
| decreases(X2)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_85,plain,
( increases(X1)
| increases(X2)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ constant(cardinality_at_time(first_movers,sk2))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_79,c_0_58]) ).
cnf(c_0_88,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_81]) ).
cnf(c_0_89,negated_conjecture,
( greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_68]),c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_84,c_0_60]) ).
cnf(c_0_91,negated_conjecture,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_60]),c_0_86]) ).
cnf(c_0_92,negated_conjecture,
~ constant(cardinality_at_time(first_movers,sk2)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_83]) ).
cnf(c_0_93,negated_conjecture,
( decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_90]),c_0_91]) ).
cnf(c_0_94,axiom,
( constant(X2)
| decreases(X3)
| increases(X3)
| X1 != sum(X2,X3)
| ~ constant(X1) ),
mp_abc_sum_increase_35 ).
cnf(c_0_95,negated_conjecture,
increases(cardinality_at_time(first_movers,sk2)),
inference(sr,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
decreases(cardinality_at_time(first_movers,sk2)),
inference(sr,[status(thm)],[c_0_93,c_0_92]) ).
cnf(c_0_97,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_98,negated_conjecture,
~ decreases(cardinality_at_time(efficient_producers,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_95])]) ).
cnf(c_0_99,negated_conjecture,
~ increases(cardinality_at_time(efficient_producers,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_96])]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_60]),c_0_98]),c_0_99]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.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 06:24:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.015000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.019000 s
%------------------------------------------------------------------------------