TSTP Solution File: MGT025+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 : 600s
% DateTime : Sun Jul 17 22:09:37 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 76 ( 16 unt; 0 def)
% Number of atoms : 308 ( 40 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 374 ( 142 ~; 176 |; 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 : 86 ( 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_non_zero_producers) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_growth_rate) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_only_members) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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,
! [X4,X5] :
( ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X5)
| in_environment(X4,X5) ),
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,
! [X4,X5] :
( ( subpopulation(first_movers,X4,X5)
| ~ environment(X4)
| ~ in_environment(X4,X5) )
& ( subpopulation(efficient_producers,X4,X5)
| ~ environment(X4)
| ~ in_environment(X4,X5) ) ),
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)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
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,
! [X4,X5] :
( ( greater(cardinality_at_time(first_movers,X5),zero)
| ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X5) )
& ( greater(cardinality_at_time(efficient_producers,X5),zero)
| ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_non_zero_producers])])]) ).
fof(c_0_15,plain,
! [X4,X5,X6] :
( ( ~ constant(cardinality_at_time(X4,X6))
| growth_rate(X4,X6) = zero
| ~ environment(X5)
| ~ in_environment(X5,X6)
| ~ subpopulation(X4,X5,X6)
| ~ greater(cardinality_at_time(X4,X6),zero) )
& ( ~ increases(cardinality_at_time(X4,X6))
| greater(growth_rate(X4,X6),zero)
| ~ environment(X5)
| ~ in_environment(X5,X6)
| ~ subpopulation(X4,X5,X6)
| ~ greater(cardinality_at_time(X4,X6),zero) )
& ( ~ decreases(cardinality_at_time(X4,X6))
| greater(zero,growth_rate(X4,X6))
| ~ environment(X5)
| ~ in_environment(X5,X6)
| ~ subpopulation(X4,X5,X6)
| ~ greater(cardinality_at_time(X4,X6),zero) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_growth_rate])])]) ).
cnf(c_0_16,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,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_18,plain,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X4,X5,X6] :
( ( greater(cardinality_at_time(X5,X6),zero)
| ~ environment(X4)
| ~ subpopulation(X5,X4,X6)
| number_of_organizations(X4,X6) = sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)) )
& ( X5 != efficient_producers
| ~ environment(X4)
| ~ subpopulation(X5,X4,X6)
| number_of_organizations(X4,X6) = sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)) )
& ( X5 != first_movers
| ~ environment(X4)
| ~ subpopulation(X5,X4,X6)
| number_of_organizations(X4,X6) = sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_only_members])])]) ).
cnf(c_0_20,plain,
( greater(zero,growth_rate(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ decreases(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
subpopulation(efficient_producers,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13])]) ).
cnf(c_0_22,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_18,c_0_12]),c_0_13])]) ).
cnf(c_0_23,plain,
( subpopulation(first_movers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,plain,
( greater(cardinality_at_time(first_movers,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_25,plain,
! [X7,X8,X9] :
( ( decreases(X8)
| increases(X8)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| increases(X8)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( decreases(X8)
| decreases(X9)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| decreases(X9)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( decreases(X8)
| increases(X8)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| increases(X8)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( decreases(X8)
| decreases(X9)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| decreases(X9)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_abc_sum_increase])])]) ).
cnf(c_0_26,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(X3,X1,X2)
| ~ environment(X1)
| X3 != efficient_producers ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( growth_rate(X1,X2) = zero
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ constant(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,plain,
( greater(growth_rate(X1,X2),zero)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ increases(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]),c_0_13])]),c_0_22])]) ).
cnf(c_0_31,negated_conjecture,
subpopulation(first_movers,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_13])]) ).
cnf(c_0_32,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_24,c_0_12]),c_0_13])]) ).
cnf(c_0_33,plain,
( constant(X3)
| decreases(X3)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
constant(number_of_organizations(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,negated_conjecture,
number_of_organizations(esk1_0,esk2_0) = 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_26,c_0_21]),c_0_13])]) ).
cnf(c_0_36,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) != zero
| growth_rate(first_movers,esk2_0) != zero ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_17]),c_0_13])]),c_0_22])]) ).
cnf(c_0_38,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_21]),c_0_17]),c_0_13])]),c_0_22])]) ).
cnf(c_0_40,plain,
( constant(X3)
| increases(X2)
| decreases(X2)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_42,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_31]),c_0_17]),c_0_13])]),c_0_32])]) ).
cnf(c_0_43,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_44,negated_conjecture,
constant(sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0))),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
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_38,c_0_39]) ).
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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_31]),c_0_17]),c_0_13])]),c_0_32])]) ).
cnf(c_0_48,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_49,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_17]),c_0_13])]),c_0_32])]) ).
cnf(c_0_50,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0))
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_46,c_0_42]) ).
cnf(c_0_54,plain,
( constant(X2)
| increases(X2)
| decreases(X2)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_55,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_42]) ).
cnf(c_0_56,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(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_57,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_49,c_0_42]) ).
cnf(c_0_58,negated_conjecture,
( ~ constant(cardinality_at_time(first_movers,esk2_0))
| ~ greater(zero,zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_59,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
~ constant(cardinality_at_time(first_movers,esk2_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_52]),c_0_57]),c_0_58]) ).
cnf(c_0_61,plain,
( constant(X2)
| increases(X2)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_62,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_63,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_60]) ).
cnf(c_0_64,plain,
( increases(X1)
| increases(X2)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( increases(cardinality_at_time(first_movers,esk2_0))
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
( constant(X2)
| decreases(X3)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_67,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_49]) ).
cnf(c_0_68,negated_conjecture,
increases(cardinality_at_time(first_movers,esk2_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_44]),c_0_60]),c_0_65]) ).
cnf(c_0_69,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_70,negated_conjecture,
~ decreases(cardinality_at_time(efficient_producers,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_71,plain,
( constant(X2)
| decreases(X3)
| decreases(X2)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_72,negated_conjecture,
increases(cardinality_at_time(efficient_producers,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_44]),c_0_70]),c_0_60]) ).
cnf(c_0_73,plain,
( decreases(X1)
| decreases(X2)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ decreases(cardinality_at_time(first_movers,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_72])]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_44]),c_0_60]),c_0_70]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n018.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 9 08:53:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.016 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 76
% 0.24/1.41 # Proof object clause steps : 61
% 0.24/1.41 # Proof object formula steps : 15
% 0.24/1.41 # Proof object conjectures : 43
% 0.24/1.41 # Proof object clause conjectures : 40
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 21
% 0.24/1.41 # Proof object initial formulas used : 7
% 0.24/1.41 # Proof object generating inferences : 37
% 0.24/1.41 # Proof object simplifying inferences : 60
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 8
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 26
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 26
% 0.24/1.41 # Processed clauses : 98
% 0.24/1.41 # ...of these trivial : 2
% 0.24/1.41 # ...subsumed : 11
% 0.24/1.41 # ...remaining for further processing : 84
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 13
% 0.24/1.41 # Backward-rewritten : 13
% 0.24/1.41 # Generated clauses : 76
% 0.24/1.41 # ...of the previous two non-trivial : 77
% 0.24/1.41 # Contextual simplify-reflections : 21
% 0.24/1.41 # Paramodulations : 68
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 8
% 0.24/1.41 # Current number of processed clauses : 58
% 0.24/1.41 # Positive orientable unit clauses : 13
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 6
% 0.24/1.41 # Non-unit-clauses : 39
% 0.24/1.41 # Current number of unprocessed clauses: 5
% 0.24/1.41 # ...number of literals in the above : 9
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 26
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 565
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 353
% 0.24/1.41 # Non-unit clause-clause subsumptions : 35
% 0.24/1.41 # Unit Clause-clause subsumption calls : 123
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 5
% 0.24/1.41 # BW rewrite match successes : 5
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 2973
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.018 s
% 0.24/1.41 # System time : 0.003 s
% 0.24/1.41 # Total time : 0.022 s
% 0.24/1.41 # Maximum resident set size: 2984 pages
%------------------------------------------------------------------------------