TSTP Solution File: MGT025+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:34:38 EDT 2023
% Result : Theorem 0.36s 0.53s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 97 ( 18 unt; 0 def)
% Number of atoms : 383 ( 43 equ)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 463 ( 177 ~; 230 |; 44 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 108 ( 4 sgn; 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_l7,conjecture,
! [X1,X3] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X3)
& constant(number_of_organizations(X1,X3)) )
=> ( ( growth_rate(first_movers,X3) = zero
& growth_rate(efficient_producers,X3) = zero )
| ( greater(growth_rate(first_movers,X3),zero)
& greater(zero,growth_rate(efficient_producers,X3)) )
| ( greater(growth_rate(efficient_producers,X3),zero)
& greater(zero,growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p',prove_l7) ).
fof(mp_time_point_occur,axiom,
! [X1,X3] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> in_environment(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p',mp_time_point_occur) ).
fof(mp_subpopulations,axiom,
! [X1,X3] :
( ( environment(X1)
& in_environment(X1,X3) )
=> ( subpopulation(first_movers,X1,X3)
& subpopulation(efficient_producers,X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p',mp_subpopulations) ).
fof(mp_non_zero_producers,axiom,
! [X1,X3] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> ( greater(cardinality_at_time(first_movers,X3),zero)
& greater(cardinality_at_time(efficient_producers,X3),zero) ) ),
file('/export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p',mp_non_zero_producers) ).
fof(mp_only_members,axiom,
! [X1,X2,X3] :
( ( environment(X1)
& subpopulation(X2,X1,X3)
& ( greater(cardinality_at_time(X2,X3),zero)
=> ( X2 = efficient_producers
| X2 = first_movers ) ) )
=> number_of_organizations(X1,X3) = sum(cardinality_at_time(first_movers,X3),cardinality_at_time(efficient_producers,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p',mp_only_members) ).
fof(mp_growth_rate,axiom,
! [X2,X1,X3] :
( ( environment(X1)
& in_environment(X1,X3)
& subpopulation(X2,X1,X3)
& greater(cardinality_at_time(X2,X3),zero) )
=> ( ( constant(cardinality_at_time(X2,X3))
=> growth_rate(X2,X3) = zero )
& ( increases(cardinality_at_time(X2,X3))
=> greater(growth_rate(X2,X3),zero) )
& ( decreases(cardinality_at_time(X2,X3))
=> greater(zero,growth_rate(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p',mp_growth_rate) ).
fof(mp_abc_sum_increase,axiom,
! [X4,X5,X6] :
( ( X4 = sum(X5,X6)
& constant(X4) )
=> ( ( constant(X5)
& constant(X6) )
| ( increases(X5)
& decreases(X6) )
| ( decreases(X5)
& increases(X6) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p',mp_abc_sum_increase) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X3] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X3)
& constant(number_of_organizations(X1,X3)) )
=> ( ( growth_rate(first_movers,X3) = zero
& growth_rate(efficient_producers,X3) = zero )
| ( greater(growth_rate(first_movers,X3),zero)
& greater(zero,growth_rate(efficient_producers,X3)) )
| ( greater(growth_rate(efficient_producers,X3),zero)
& greater(zero,growth_rate(first_movers,X3)) ) ) ),
inference(assume_negation,[status(cth)],[prove_l7]) ).
fof(c_0_8,plain,
! [X25,X26] :
( ~ environment(X25)
| ~ subpopulations(first_movers,efficient_producers,X25,X26)
| in_environment(X25,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_occur])]) ).
fof(c_0_9,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& constant(number_of_organizations(esk1_0,esk2_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_10,plain,
! [X14,X15] :
( ( subpopulation(first_movers,X14,X15)
| ~ environment(X14)
| ~ in_environment(X14,X15) )
& ( subpopulation(efficient_producers,X14,X15)
| ~ environment(X14)
| ~ in_environment(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_subpopulations])])]) ).
cnf(c_0_11,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X12,X13] :
( ( greater(cardinality_at_time(first_movers,X13),zero)
| ~ environment(X12)
| ~ subpopulations(first_movers,efficient_producers,X12,X13) )
& ( greater(cardinality_at_time(efficient_producers,X13),zero)
| ~ environment(X12)
| ~ subpopulations(first_movers,efficient_producers,X12,X13) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_non_zero_producers])])]) ).
fof(c_0_15,plain,
! [X22,X23,X24] :
( ( greater(cardinality_at_time(X23,X24),zero)
| ~ environment(X22)
| ~ subpopulation(X23,X22,X24)
| number_of_organizations(X22,X24) = sum(cardinality_at_time(first_movers,X24),cardinality_at_time(efficient_producers,X24)) )
& ( X23 != efficient_producers
| ~ environment(X22)
| ~ subpopulation(X23,X22,X24)
| number_of_organizations(X22,X24) = sum(cardinality_at_time(first_movers,X24),cardinality_at_time(efficient_producers,X24)) )
& ( X23 != first_movers
| ~ environment(X22)
| ~ subpopulation(X23,X22,X24)
| number_of_organizations(X22,X24) = sum(cardinality_at_time(first_movers,X24),cardinality_at_time(efficient_producers,X24)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_only_members])])]) ).
fof(c_0_16,plain,
! [X16,X17,X18] :
( ( ~ constant(cardinality_at_time(X16,X18))
| growth_rate(X16,X18) = zero
| ~ environment(X17)
| ~ in_environment(X17,X18)
| ~ subpopulation(X16,X17,X18)
| ~ greater(cardinality_at_time(X16,X18),zero) )
& ( ~ increases(cardinality_at_time(X16,X18))
| greater(growth_rate(X16,X18),zero)
| ~ environment(X17)
| ~ in_environment(X17,X18)
| ~ subpopulation(X16,X17,X18)
| ~ greater(cardinality_at_time(X16,X18),zero) )
& ( ~ decreases(cardinality_at_time(X16,X18))
| greater(zero,growth_rate(X16,X18))
| ~ environment(X17)
| ~ in_environment(X17,X18)
| ~ subpopulation(X16,X17,X18)
| ~ greater(cardinality_at_time(X16,X18),zero) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_growth_rate])])]) ).
cnf(c_0_17,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_19,plain,
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X19,X20,X21] :
( ( decreases(X20)
| increases(X20)
| constant(X20)
| X19 != sum(X20,X21)
| ~ constant(X19) )
& ( increases(X21)
| increases(X20)
| constant(X20)
| X19 != sum(X20,X21)
| ~ constant(X19) )
& ( decreases(X20)
| decreases(X21)
| constant(X20)
| X19 != sum(X20,X21)
| ~ constant(X19) )
& ( increases(X21)
| decreases(X21)
| constant(X20)
| X19 != sum(X20,X21)
| ~ constant(X19) )
& ( decreases(X20)
| increases(X20)
| constant(X21)
| X19 != sum(X20,X21)
| ~ constant(X19) )
& ( increases(X21)
| increases(X20)
| constant(X21)
| X19 != sum(X20,X21)
| ~ constant(X19) )
& ( decreases(X20)
| decreases(X21)
| constant(X21)
| X19 != sum(X20,X21)
| ~ constant(X19) )
& ( increases(X21)
| decreases(X21)
| constant(X21)
| X19 != sum(X20,X21)
| ~ constant(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_abc_sum_increase])])]) ).
cnf(c_0_21,plain,
( number_of_organizations(X2,X3) = sum(cardinality_at_time(first_movers,X3),cardinality_at_time(efficient_producers,X3))
| X1 != efficient_producers
| ~ environment(X2)
| ~ subpopulation(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( greater(growth_rate(X1,X2),zero)
| ~ increases(cardinality_at_time(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
subpopulation(first_movers,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_13])]) ).
cnf(c_0_26,negated_conjecture,
greater(cardinality_at_time(first_movers,esk2_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_13])]) ).
cnf(c_0_27,plain,
( decreases(X1)
| decreases(X2)
| constant(X1)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| X2 != sum(X1,X3)
| ~ constant(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
subpopulation(efficient_producers,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_13])]) ).
cnf(c_0_31,negated_conjecture,
greater(cardinality_at_time(efficient_producers,esk2_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_12]),c_0_13])]) ).
cnf(c_0_32,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_9]) ).
cnf(c_0_33,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_18]),c_0_26]),c_0_13])]) ).
cnf(c_0_34,plain,
( greater(zero,growth_rate(X1,X2))
| ~ decreases(cardinality_at_time(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_35,plain,
( decreases(X1)
| decreases(X2)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
constant(number_of_organizations(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,plain,
( number_of_organizations(X1,X2) = number_of_organizations(X3,X2)
| ~ subpopulation(efficient_producers,X1,X2)
| ~ subpopulation(efficient_producers,X3,X2)
| ~ environment(X1)
| ~ environment(X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_29]) ).
cnf(c_0_39,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_9]) ).
cnf(c_0_40,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_30]),c_0_18]),c_0_31]),c_0_13])]) ).
cnf(c_0_41,negated_conjecture,
( ~ increases(cardinality_at_time(first_movers,esk2_0))
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_18]),c_0_31]),c_0_13])]) ).
cnf(c_0_43,plain,
( decreases(cardinality_at_time(efficient_producers,X1))
| decreases(cardinality_at_time(first_movers,X1))
| constant(cardinality_at_time(first_movers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulation(efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_44,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(efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_45,negated_conjecture,
( constant(number_of_organizations(X1,esk2_0))
| ~ subpopulation(efficient_producers,X1,esk2_0)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30]),c_0_13])]) ).
cnf(c_0_46,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,esk2_0))
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_18]),c_0_26]),c_0_13])]) ).
cnf(c_0_48,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,esk2_0))
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| decreases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_30]),c_0_13])]) ).
cnf(c_0_50,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_37]),c_0_30]),c_0_13])]) ).
cnf(c_0_51,plain,
( increases(X1)
| increases(X2)
| constant(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_52,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_53,plain,
( growth_rate(X1,X2) = zero
| ~ constant(cardinality_at_time(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_54,plain,
( increases(X1)
| decreases(X1)
| constant(X2)
| X3 != sum(X2,X1)
| ~ constant(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_55,negated_conjecture,
( constant(sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0)))
| ~ subpopulation(efficient_producers,X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_29]) ).
cnf(c_0_56,negated_conjecture,
( ~ decreases(cardinality_at_time(first_movers,esk2_0))
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_58,plain,
( increases(X1)
| increases(X2)
| constant(X1)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_61,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_30]),c_0_18]),c_0_31]),c_0_13])]) ).
cnf(c_0_62,plain,
( decreases(X1)
| decreases(X2)
| constant(X2)
| X3 != sum(X1,X2)
| ~ constant(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_63,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_64,negated_conjecture,
constant(sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_30]),c_0_13])]) ).
cnf(c_0_65,negated_conjecture,
( constant(cardinality_at_time(first_movers,esk2_0))
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
( increases(cardinality_at_time(first_movers,X1))
| increases(cardinality_at_time(efficient_producers,X1))
| constant(cardinality_at_time(first_movers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulation(efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_29]) ).
cnf(c_0_67,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_25]),c_0_18]),c_0_26]),c_0_13])]) ).
cnf(c_0_68,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(efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_29]) ).
cnf(c_0_69,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,plain,
( decreases(X1)
| decreases(X2)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_39,c_0_61]) ).
cnf(c_0_72,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_73,negated_conjecture,
( increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_37]),c_0_30]),c_0_13])]),c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( greater(zero,zero)
| ~ decreases(cardinality_at_time(first_movers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_37]),c_0_30]),c_0_13])]) ).
cnf(c_0_76,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
( greater(zero,zero)
| ~ increases(cardinality_at_time(first_movers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_67]) ).
cnf(c_0_78,plain,
( decreases(cardinality_at_time(efficient_producers,X1))
| decreases(cardinality_at_time(first_movers,X1))
| constant(cardinality_at_time(efficient_producers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ subpopulation(efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_29]) ).
cnf(c_0_79,negated_conjecture,
( ~ decreases(cardinality_at_time(first_movers,esk2_0))
| ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_71,c_0_47]) ).
cnf(c_0_80,negated_conjecture,
( ~ increases(cardinality_at_time(first_movers,esk2_0))
| ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_41,c_0_61]) ).
cnf(c_0_81,negated_conjecture,
constant(cardinality_at_time(first_movers,esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_72]),c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| decreases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_37]),c_0_30]),c_0_13])]) ).
cnf(c_0_84,negated_conjecture,
( greater(zero,zero)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_61]) ).
cnf(c_0_85,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ greater(zero,zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_50]),c_0_76]),c_0_80]) ).
cnf(c_0_86,negated_conjecture,
growth_rate(first_movers,esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_81])]) ).
cnf(c_0_87,negated_conjecture,
greater(zero,zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_81])]) ).
cnf(c_0_88,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_83]),c_0_75]) ).
cnf(c_0_89,negated_conjecture,
~ constant(cardinality_at_time(efficient_producers,esk2_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_72]),c_0_85]),c_0_76]) ).
cnf(c_0_90,plain,
( increases(X1)
| decreases(X1)
| constant(X1)
| X2 != sum(X3,X1)
| ~ constant(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_91,negated_conjecture,
~ greater(zero,growth_rate(efficient_producers,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_86]),c_0_87])]) ).
cnf(c_0_92,negated_conjecture,
decreases(cardinality_at_time(first_movers,esk2_0)),
inference(sr,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_94,negated_conjecture,
~ decreases(cardinality_at_time(efficient_producers,esk2_0)),
inference(spm,[status(thm)],[c_0_91,c_0_42]) ).
cnf(c_0_95,negated_conjecture,
~ increases(cardinality_at_time(efficient_producers,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_92])]) ).
cnf(c_0_96,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_64]),c_0_94]),c_0_95]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Oct 3 00:23:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.13Luqgf5QV/E---3.1_26086.p
% 0.36/0.53 # Version: 3.1pre001
% 0.36/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.36/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.36/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.53 # Starting sh5l with 300s (1) cores
% 0.36/0.53 # new_bool_3 with pid 26221 completed with status 0
% 0.36/0.53 # Result found by new_bool_3
% 0.36/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.36/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.36/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.53 # Search class: FGHSF-FFMS22-SFFFFFNN
% 0.36/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.53 # SAT001_MinMin_p005000_rr_RG with pid 26225 completed with status 0
% 0.36/0.53 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.36/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.36/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.36/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.53 # Search class: FGHSF-FFMS22-SFFFFFNN
% 0.36/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.53 # Preprocessing time : 0.002 s
% 0.36/0.53 # Presaturation interreduction done
% 0.36/0.53
% 0.36/0.53 # Proof found!
% 0.36/0.53 # SZS status Theorem
% 0.36/0.53 # SZS output start CNFRefutation
% See solution above
% 0.36/0.53 # Parsed axioms : 8
% 0.36/0.53 # Removed by relevancy pruning/SinE : 0
% 0.36/0.53 # Initial clauses : 26
% 0.36/0.53 # Removed in clause preprocessing : 0
% 0.36/0.53 # Initial clauses in saturation : 26
% 0.36/0.53 # Processed clauses : 139
% 0.36/0.53 # ...of these trivial : 0
% 0.36/0.53 # ...subsumed : 12
% 0.36/0.53 # ...remaining for further processing : 126
% 0.36/0.53 # Other redundant clauses eliminated : 10
% 0.36/0.53 # Clauses deleted for lack of memory : 0
% 0.36/0.53 # Backward-subsumed : 27
% 0.36/0.53 # Backward-rewritten : 15
% 0.36/0.53 # Generated clauses : 146
% 0.36/0.53 # ...of the previous two non-redundant : 147
% 0.36/0.53 # ...aggressively subsumed : 0
% 0.36/0.53 # Contextual simplify-reflections : 13
% 0.36/0.53 # Paramodulations : 135
% 0.36/0.53 # Factorizations : 0
% 0.36/0.53 # NegExts : 0
% 0.36/0.53 # Equation resolutions : 10
% 0.36/0.53 # Total rewrite steps : 64
% 0.36/0.53 # Propositional unsat checks : 0
% 0.36/0.53 # Propositional check models : 0
% 0.36/0.53 # Propositional check unsatisfiable : 0
% 0.36/0.53 # Propositional clauses : 0
% 0.36/0.53 # Propositional clauses after purity: 0
% 0.36/0.53 # Propositional unsat core size : 0
% 0.36/0.53 # Propositional preprocessing time : 0.000
% 0.36/0.53 # Propositional encoding time : 0.000
% 0.36/0.53 # Propositional solver time : 0.000
% 0.36/0.53 # Success case prop preproc time : 0.000
% 0.36/0.53 # Success case prop encoding time : 0.000
% 0.36/0.53 # Success case prop solver time : 0.000
% 0.36/0.53 # Current number of processed clauses : 47
% 0.36/0.53 # Positive orientable unit clauses : 13
% 0.36/0.53 # Positive unorientable unit clauses: 0
% 0.36/0.53 # Negative unit clauses : 6
% 0.36/0.53 # Non-unit-clauses : 28
% 0.36/0.53 # Current number of unprocessed clauses: 59
% 0.36/0.53 # ...number of literals in the above : 357
% 0.36/0.53 # Current number of archived formulas : 0
% 0.36/0.53 # Current number of archived clauses : 69
% 0.36/0.53 # Clause-clause subsumption calls (NU) : 776
% 0.36/0.53 # Rec. Clause-clause subsumption calls : 355
% 0.36/0.53 # Non-unit clause-clause subsumptions : 34
% 0.36/0.53 # Unit Clause-clause subsumption calls : 102
% 0.36/0.53 # Rewrite failures with RHS unbound : 0
% 0.36/0.53 # BW rewrite match attempts : 5
% 0.36/0.53 # BW rewrite match successes : 5
% 0.36/0.53 # Condensation attempts : 0
% 0.36/0.53 # Condensation successes : 0
% 0.36/0.53 # Termbank termtop insertions : 4759
% 0.36/0.53
% 0.36/0.53 # -------------------------------------------------
% 0.36/0.53 # User time : 0.012 s
% 0.36/0.53 # System time : 0.004 s
% 0.36/0.53 # Total time : 0.016 s
% 0.36/0.53 # Maximum resident set size: 1888 pages
% 0.36/0.53
% 0.36/0.53 # -------------------------------------------------
% 0.36/0.53 # User time : 0.013 s
% 0.36/0.53 # System time : 0.007 s
% 0.36/0.53 # Total time : 0.020 s
% 0.36/0.53 # Maximum resident set size: 1684 pages
% 0.36/0.53 % E---3.1 exiting
% 0.36/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------