%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT030+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : Tue May 5 04:47:31 PM UTC 2026
% Result : Theorem 1.21s 1.68s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 52 ( 8 unt; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 282 ( 103 ~; 131 |; 36 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 18 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_l12,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12) ).
fof(mp_earliest_time_growth_rate_exceeds,axiom,
! [X1] :
( ( environment(X1)
& ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
fof(l1,hypothesis,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_l12])]) ).
fof(c_0_4,plain,
! [X1] :
( ( environment(X1)
& ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds]) ).
fof(c_0_5,hypothesis,
! [X20,X22] :
( ( in_environment(X20,esk3_1(X20))
| ~ environment(X20)
| ~ stable(X20) )
& ( ~ subpopulations(first_movers,efficient_producers,X20,X22)
| ~ greater_or_equal(X22,esk3_1(X20))
| greater(growth_rate(efficient_producers,X22),growth_rate(first_movers,X22))
| ~ environment(X20)
| ~ stable(X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l1])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X24] :
( environment(esk4_0)
& stable(esk4_0)
& ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X24))
| ~ in_environment(esk4_0,X24)
| greater(growth_rate(efficient_producers,X24),growth_rate(first_movers,X24)) )
& ( greater(esk5_1(X24),X24)
| ~ in_environment(esk4_0,X24)
| greater(growth_rate(efficient_producers,X24),growth_rate(first_movers,X24)) )
& ( ~ greater(growth_rate(efficient_producers,esk5_1(X24)),growth_rate(first_movers,esk5_1(X24)))
| ~ in_environment(esk4_0,X24)
| greater(growth_rate(efficient_producers,X24),growth_rate(first_movers,X24)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_7,plain,
! [X15,X16,X19] :
( ( in_environment(X15,esk2_1(X15))
| subpopulations(first_movers,efficient_producers,X15,esk1_2(X15,X16))
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X15)),growth_rate(first_movers,esk2_1(X15)))
| subpopulations(first_movers,efficient_producers,X15,esk1_2(X15,X16))
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( ~ subpopulations(first_movers,efficient_producers,X15,X19)
| ~ greater(X19,esk2_1(X15))
| greater(growth_rate(efficient_producers,X19),growth_rate(first_movers,X19))
| subpopulations(first_movers,efficient_producers,X15,esk1_2(X15,X16))
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( in_environment(X15,esk2_1(X15))
| greater_or_equal(esk1_2(X15,X16),X16)
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X15)),growth_rate(first_movers,esk2_1(X15)))
| greater_or_equal(esk1_2(X15,X16),X16)
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( ~ subpopulations(first_movers,efficient_producers,X15,X19)
| ~ greater(X19,esk2_1(X15))
| greater(growth_rate(efficient_producers,X19),growth_rate(first_movers,X19))
| greater_or_equal(esk1_2(X15,X16),X16)
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( in_environment(X15,esk2_1(X15))
| ~ greater(growth_rate(efficient_producers,esk1_2(X15,X16)),growth_rate(first_movers,esk1_2(X15,X16)))
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X15)),growth_rate(first_movers,esk2_1(X15)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X15,X16)),growth_rate(first_movers,esk1_2(X15,X16)))
| ~ in_environment(X15,X16)
| ~ environment(X15) )
& ( ~ subpopulations(first_movers,efficient_producers,X15,X19)
| ~ greater(X19,esk2_1(X15))
| greater(growth_rate(efficient_producers,X19),growth_rate(first_movers,X19))
| ~ greater(growth_rate(efficient_producers,esk1_2(X15,X16)),growth_rate(first_movers,esk1_2(X15,X16)))
| ~ in_environment(X15,X16)
| ~ environment(X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_8,hypothesis,
( in_environment(X1,esk3_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
stable(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
environment(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( in_environment(X1,esk2_1(X1))
| greater_or_equal(esk1_2(X1,X2),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
in_environment(esk4_0,esk3_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,plain,
( in_environment(X1,esk2_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,esk3_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0))
| in_environment(esk4_0,esk2_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10])]) ).
cnf(c_0_16,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| in_environment(esk4_0,esk2_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
( greater(esk5_1(X1),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,hypothesis,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| in_environment(esk4_0,esk2_1(esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9]),c_0_10])]),c_0_16]) ).
cnf(c_0_19,plain,
( in_environment(X1,esk2_1(X1))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater_or_equal(esk1_2(X1,X3),X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_12]),c_0_10])]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,esk5_1(X1)),growth_rate(first_movers,esk5_1(X1)))
| ~ in_environment(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X3))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_10])]) ).
cnf(c_0_27,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| ~ greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_29,negated_conjecture,
( greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_10])]) ).
cnf(c_0_30,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ in_environment(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ in_environment(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_31,c_0_12]) ).
cnf(c_0_34,hypothesis,
( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_32]),c_0_9]),c_0_10])]),c_0_33]) ).
cnf(c_0_35,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X3)),growth_rate(first_movers,esk1_2(X1,X3)))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,hypothesis,
( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| in_environment(esk4_0,esk2_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_34]),c_0_12]),c_0_10])]) ).
cnf(c_0_37,negated_conjecture,
( greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_10])]) ).
cnf(c_0_38,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| ~ greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(spm,[status(thm)],[c_0_24,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ in_environment(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_41,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_42,negated_conjecture,
greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_12]),c_0_34]) ).
cnf(c_0_43,plain,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_44,plain,
( ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,negated_conjecture,
( greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_10])]) ).
cnf(c_0_46,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_10])]) ).
cnf(c_0_47,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_10])]) ).
cnf(c_0_48,negated_conjecture,
greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0)),
inference(spm,[status(thm)],[c_0_45,c_0_12]) ).
cnf(c_0_49,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0))),
inference(spm,[status(thm)],[c_0_46,c_0_12]) ).
cnf(c_0_50,negated_conjecture,
~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0)))),
inference(spm,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_51,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_48]),c_0_9]),c_0_49]),c_0_10])]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT030+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.29 % Computer : n011.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon May 4 23:27:17 EDT 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.30 % start to proof: theBenchmark
% 1.21/1.68 % Version : CSE_E---1.7
% 1.21/1.68 % Problem : theBenchmark.p
% 1.21/1.68 % SZS status Theorem for theBenchmark.p
% 1.21/1.68 % SZS output start CNFRefutation
% See solution above
% 1.21/1.68 % Total time : 1.366s
%------------------------------------------------------------------------------