TSTP Solution File: MGT024+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 : Theorem 0.18s 0.57s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 74 ( 13 unt; 16 typ; 0 def)
% Number of atoms : 259 ( 39 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 301 ( 100 ~; 139 |; 43 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 11 >; 9 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
environment: $i > $o ).
tff(decl_23,type,
first_movers: $i ).
tff(decl_24,type,
efficient_producers: $i ).
tff(decl_25,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(decl_26,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_27,type,
number_of_organizations: ( $i * $i ) > $i ).
tff(decl_28,type,
zero: $i ).
tff(decl_29,type,
greater: ( $i * $i ) > $o ).
tff(decl_30,type,
equilibrium: $i > $i ).
tff(decl_31,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_32,type,
resources: ( $i * $i ) > $i ).
tff(decl_33,type,
decreases: $i > $o ).
tff(decl_34,type,
constant: $i > $o ).
tff(decl_35,type,
growth_rate: ( $i * $i ) > $i ).
tff(decl_36,type,
esk1_0: $i ).
tff(decl_37,type,
esk2_0: $i ).
fof(prove_l6,conjecture,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,equilibrium(X1)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l6) ).
fof(mp_equilibrium,axiom,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,equilibrium(X1)) )
=> ~ greater(equilibrium(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_equilibrium) ).
fof(a3,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(number_of_organizations(X1,X2),zero) )
=> ( ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) )
& ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(mp_positive_number_of_organizations,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_number_of_organizations) ).
fof(mp_time_point_occur,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur) ).
fof(a6,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> ~ decreases(number_of_organizations(X1,X2)) )
& ( constant(resources(X1,X2))
=> constant(number_of_organizations(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6) ).
fof(l7,hypothesis,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& constant(number_of_organizations(X1,X2)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,equilibrium(X1)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
inference(assume_negation,[status(cth)],[prove_l6]) ).
fof(c_0_8,plain,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,equilibrium(X1)) )
=> ~ greater(equilibrium(X1),X2) ),
inference(fof_simplification,[status(thm)],[mp_equilibrium]) ).
fof(c_0_9,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(number_of_organizations(X1,X2),zero) )
=> ( ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) )
& ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[a3]) ).
fof(c_0_10,plain,
! [X5,X6] :
( ~ environment(X5)
| ~ subpopulations(first_movers,efficient_producers,X5,X6)
| greater(number_of_organizations(X5,X6),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_positive_number_of_organizations])]) ).
fof(c_0_11,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& greater_or_equal(esk2_0,equilibrium(esk1_0))
& ( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero )
& ( ~ greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) )
& ( ~ greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_12,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| in_environment(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_occur])]) ).
fof(c_0_13,plain,
! [X7,X8] :
( ~ environment(X7)
| ~ greater_or_equal(X8,equilibrium(X7))
| ~ greater(equilibrium(X7),X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_14,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> ~ decreases(number_of_organizations(X1,X2)) )
& ( constant(resources(X1,X2))
=> constant(number_of_organizations(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[a6]) ).
fof(c_0_15,hypothesis,
! [X9,X10] :
( ( ~ greater(equilibrium(X9),X10)
| decreases(resources(X9,X10))
| ~ environment(X9)
| ~ in_environment(X9,X10)
| ~ greater(number_of_organizations(X9,X10),zero) )
& ( greater(equilibrium(X9),X10)
| constant(resources(X9,X10))
| ~ environment(X9)
| ~ in_environment(X9,X10)
| ~ greater(number_of_organizations(X9,X10),zero) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_16,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( ~ environment(X1)
| ~ greater_or_equal(X2,equilibrium(X1))
| ~ greater(equilibrium(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
greater_or_equal(esk2_0,equilibrium(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_22,hypothesis,
! [X11,X12] :
( ( ~ decreases(resources(X11,X12))
| ~ decreases(number_of_organizations(X11,X12))
| ~ environment(X11)
| ~ in_environment(X11,X12) )
& ( ~ constant(resources(X11,X12))
| constant(number_of_organizations(X11,X12))
| ~ environment(X11)
| ~ in_environment(X11,X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_23,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
greater(number_of_organizations(esk1_0,esk2_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_25,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_18])]) ).
cnf(c_0_26,negated_conjecture,
~ greater(equilibrium(esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18])]) ).
fof(c_0_27,hypothesis,
! [X13,X14] :
( ( greater(growth_rate(efficient_producers,X14),zero)
| greater(growth_rate(first_movers,X14),zero)
| growth_rate(first_movers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) )
& ( greater(zero,growth_rate(first_movers,X14))
| greater(growth_rate(first_movers,X14),zero)
| growth_rate(first_movers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) )
& ( greater(growth_rate(efficient_producers,X14),zero)
| greater(zero,growth_rate(efficient_producers,X14))
| growth_rate(first_movers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) )
& ( greater(zero,growth_rate(first_movers,X14))
| greater(zero,growth_rate(efficient_producers,X14))
| growth_rate(first_movers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) )
& ( greater(growth_rate(efficient_producers,X14),zero)
| greater(growth_rate(first_movers,X14),zero)
| growth_rate(efficient_producers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) )
& ( greater(zero,growth_rate(first_movers,X14))
| greater(growth_rate(first_movers,X14),zero)
| growth_rate(efficient_producers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) )
& ( greater(growth_rate(efficient_producers,X14),zero)
| greater(zero,growth_rate(efficient_producers,X14))
| growth_rate(efficient_producers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) )
& ( greater(zero,growth_rate(first_movers,X14))
| greater(zero,growth_rate(efficient_producers,X14))
| growth_rate(efficient_producers,X14) = zero
| ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ constant(number_of_organizations(X13,X14)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l7])])]) ).
cnf(c_0_28,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,hypothesis,
constant(resources(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_18])]),c_0_26]) ).
cnf(c_0_30,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,hypothesis,
constant(number_of_organizations(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25]),c_0_18])]) ).
cnf(c_0_32,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,hypothesis,
( greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( ~ greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_17]),c_0_18])]),c_0_31])]) ).
cnf(c_0_36,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_17]),c_0_18])]),c_0_31])]) ).
cnf(c_0_37,hypothesis,
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(efficient_producers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_41,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(growth_rate(first_movers,esk2_0),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_18])]),c_0_31])]) ).
cnf(c_0_42,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_18])]),c_0_31])]) ).
cnf(c_0_44,hypothesis,
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_17]),c_0_18])]),c_0_31])]) ).
cnf(c_0_46,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_17]),c_0_18])]),c_0_31])]) ).
cnf(c_0_47,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_17]),c_0_18])]),c_0_31])]) ).
cnf(c_0_50,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_52,negated_conjecture,
growth_rate(first_movers,esk2_0) = zero,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
growth_rate(efficient_producers,esk2_0) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).
cnf(c_0_55,negated_conjecture,
greater(zero,growth_rate(efficient_producers,esk2_0)),
inference(sr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
greater(zero,zero),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_52]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_52]),c_0_55]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 05:59:04 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 0.18/0.57 % Version : CSE_E---1.5
% 0.18/0.57 % Problem : theBenchmark.p
% 0.18/0.57 % Proof found
% 0.18/0.57 % SZS status Theorem for theBenchmark.p
% 0.18/0.57 % SZS output start Proof
% See solution above
% 0.18/0.57 % Total time : 0.011000 s
% 0.18/0.57 % SZS output end Proof
% 0.18/0.57 % Total time : 0.013000 s
%------------------------------------------------------------------------------