%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT039+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 04:48:16 PM UTC 2026
% Result : Theorem 1.29s 1.74s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 77 ( 14 unt; 0 def)
% Number of atoms : 248 ( 30 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 280 ( 109 ~; 137 |; 22 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 33 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp3_favoured_trategy,axiom,
! [X1] :
( ( observational_period(X1)
& propagation_strategy(first_movers)
& propagation_strategy(efficient_producers)
& ! [X2] :
( ( environment(X2)
& in_environment(X1,X2) )
=> selection_favors(efficient_producers,first_movers,end_time(X2)) ) )
=> selection_favors(efficient_producers,first_movers,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
fof(prove_t8,conjecture,
! [X1] :
( ( observational_period(X1)
& slow_change(X1) )
=> selection_favors(efficient_producers,first_movers,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).
fof(mp_greater_or_equal,axiom,
! [X4,X5] :
( greater_or_equal(X4,X5)
<=> ( greater(X4,X5)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(mp_time_of_critical_point,axiom,
! [X2] :
( environment(X2)
=> greater_or_equal(critical_point(X2),start_time(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
fof(mp_organizational_sets1,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).
fof(mp_organizational_sets2,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).
fof(mp_greater_transitivity,axiom,
! [X4,X5,X6] :
( ( greater(X4,X5)
& greater(X5,X6) )
=> greater(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(mp_environment_end_point,axiom,
! [X2,X3] :
( ( environment(X2)
& in_environment(X2,X3) )
=> greater_or_equal(end_time(X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).
fof(mp4_critical_point,axiom,
! [X1] :
( ( observational_period(X1)
& slow_change(X1) )
=> ! [X2] :
( ( environment(X2)
& in_environment(X1,X2) )
=> ? [X3] :
( in_environment(X2,X3)
& greater(X3,critical_point(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).
fof(mp_time_in_environment,axiom,
! [X2,X3] :
( ( environment(X2)
& greater_or_equal(X3,start_time(X2))
& greater_or_equal(end_time(X2),X3) )
=> in_environment(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).
fof(l8,hypothesis,
! [X2,X3] :
( ( environment(X2)
& in_environment(X2,X3)
& greater(X3,critical_point(X2)) )
=> selection_favors(efficient_producers,first_movers,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l8) ).
fof(c_0_11,plain,
! [X27] :
( ( environment(esk1_1(X27))
| ~ observational_period(X27)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X27) )
& ( in_environment(X27,esk1_1(X27))
| ~ observational_period(X27)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X27) )
& ( ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X27)))
| ~ observational_period(X27)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X27) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3_favoured_trategy])])])]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( observational_period(X1)
& slow_change(X1) )
=> selection_favors(efficient_producers,first_movers,X1) ),
inference(assume_negation,[status(cth)],[prove_t8]) ).
fof(c_0_13,plain,
! [X40,X41] :
( ( ~ greater_or_equal(X40,X41)
| greater(X40,X41)
| X40 = X41 )
& ( ~ greater(X40,X41)
| greater_or_equal(X40,X41) )
& ( X40 != X41
| greater_or_equal(X40,X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])]) ).
fof(c_0_14,plain,
! [X36] :
( ~ environment(X36)
| greater_or_equal(critical_point(X36),start_time(X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_of_critical_point])]) ).
cnf(c_0_15,plain,
( environment(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
propagation_strategy(first_movers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets1]) ).
cnf(c_0_17,plain,
propagation_strategy(efficient_producers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets2]) ).
fof(c_0_18,negated_conjecture,
( observational_period(esk3_0)
& slow_change(esk3_0)
& ~ selection_favors(efficient_producers,first_movers,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_19,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( selection_favors(efficient_producers,first_movers,X1)
| environment(esk1_1(X1))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
observational_period(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X37,X38,X39] :
( ~ greater(X37,X38)
| ~ greater(X38,X39)
| greater(X37,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).
cnf(c_0_25,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
environment(esk1_1(esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
fof(c_0_27,plain,
! [X34,X35] :
( ~ environment(X34)
| ~ in_environment(X34,X35)
| greater_or_equal(end_time(X34),X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_end_point])]) ).
cnf(c_0_28,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(critical_point(esk1_1(esk3_0)),start_time(esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_30,plain,
! [X29,X30] :
( ( in_environment(X30,esk2_2(X29,X30))
| ~ environment(X30)
| ~ in_environment(X29,X30)
| ~ observational_period(X29)
| ~ slow_change(X29) )
& ( greater(esk2_2(X29,X30),critical_point(X30))
| ~ environment(X30)
| ~ in_environment(X29,X30)
| ~ observational_period(X29)
| ~ slow_change(X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp4_critical_point])])])])]) ).
cnf(c_0_31,plain,
( in_environment(X1,esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,plain,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(X1,start_time(esk1_1(esk3_0)))
| ~ greater(X1,critical_point(esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( greater(esk2_2(X1,X2),critical_point(X2))
| ~ environment(X2)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ slow_change(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( selection_favors(efficient_producers,first_movers,X1)
| in_environment(X1,esk1_1(X1))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_16]),c_0_17])]) ).
cnf(c_0_36,plain,
( end_time(X1) = X2
| greater(end_time(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_37,plain,
( in_environment(X1,esk2_2(X2,X1))
| ~ environment(X1)
| ~ in_environment(X2,X1)
| ~ observational_period(X2)
| ~ slow_change(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_38,plain,
! [X32,X33] :
( ~ environment(X32)
| ~ greater_or_equal(X33,start_time(X32))
| ~ greater_or_equal(end_time(X32),X33)
| in_environment(X32,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_in_environment])]) ).
cnf(c_0_39,negated_conjecture,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(esk2_2(X1,esk1_1(esk3_0)),start_time(esk1_1(esk3_0)))
| ~ slow_change(X1)
| ~ in_environment(X1,esk1_1(esk3_0))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26])]) ).
cnf(c_0_40,negated_conjecture,
in_environment(esk3_0,esk1_1(esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_23]) ).
cnf(c_0_41,negated_conjecture,
slow_change(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42,plain,
( esk2_2(X1,X2) = end_time(X2)
| greater(end_time(X2),esk2_2(X1,X2))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ environment(X2)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_46,negated_conjecture,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(esk2_2(esk3_0,esk1_1(esk3_0)),start_time(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_22])]) ).
fof(c_0_47,hypothesis,
! [X44,X45] :
( ~ environment(X44)
| ~ in_environment(X44,X45)
| ~ greater(X45,critical_point(X44))
| selection_favors(efficient_producers,first_movers,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l8])]) ).
cnf(c_0_48,plain,
( greater(X1,critical_point(X2))
| ~ greater(X1,esk2_2(X3,X2))
| ~ slow_change(X3)
| ~ in_environment(X3,X2)
| ~ environment(X2)
| ~ observational_period(X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_49,negated_conjecture,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| greater(end_time(esk1_1(esk3_0)),esk2_2(esk3_0,esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_41]),c_0_26]),c_0_22])]) ).
cnf(c_0_50,plain,
( in_environment(X1,X2)
| ~ greater_or_equal(end_time(X1),X2)
| ~ greater(X2,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(X1,start_time(esk1_1(esk3_0)))
| ~ greater(X1,esk2_2(esk3_0,esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_46]) ).
cnf(c_0_53,hypothesis,
( selection_favors(efficient_producers,first_movers,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X2,critical_point(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| greater(end_time(esk1_1(esk3_0)),critical_point(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_41]),c_0_40]),c_0_26]),c_0_22])]) ).
cnf(c_0_55,plain,
( in_environment(X1,end_time(X1))
| ~ greater(end_time(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| greater(end_time(esk1_1(esk3_0)),start_time(esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_57,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_58,hypothesis,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0)))
| ~ in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_26])]) ).
cnf(c_0_59,negated_conjecture,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26])]) ).
cnf(c_0_60,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_16]),c_0_17])]) ).
cnf(c_0_61,hypothesis,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,hypothesis,
( selection_favors(efficient_producers,first_movers,esk2_2(X1,X2))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ environment(X2)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_34]),c_0_37]) ).
cnf(c_0_63,hypothesis,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_22])]),c_0_23]) ).
cnf(c_0_64,plain,
( in_environment(X1,end_time(X2))
| ~ greater_or_equal(end_time(X1),end_time(X2))
| ~ in_environment(X2,start_time(X1))
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_65,hypothesis,
( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
| selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_41]),c_0_40]),c_0_26]),c_0_22])]) ).
cnf(c_0_66,plain,
( in_environment(X1,critical_point(X1))
| ~ greater_or_equal(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_20]) ).
cnf(c_0_67,plain,
( in_environment(X1,end_time(X1))
| ~ in_environment(X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_51]) ).
cnf(c_0_68,hypothesis,
start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_65]),c_0_22])]),c_0_23]) ).
cnf(c_0_69,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_44]) ).
cnf(c_0_70,hypothesis,
( in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0)))
| ~ in_environment(esk1_1(esk3_0),critical_point(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_26])]) ).
cnf(c_0_71,negated_conjecture,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| in_environment(esk1_1(esk3_0),critical_point(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_54]),c_0_26])]) ).
cnf(c_0_72,negated_conjecture,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,hypothesis,
( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
| selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_58,c_0_72]) ).
cnf(c_0_74,hypothesis,
esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_73]),c_0_22])]),c_0_23]) ).
cnf(c_0_75,hypothesis,
selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_74]),c_0_41]),c_0_40]),c_0_26]),c_0_22])]) ).
cnf(c_0_76,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_75]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n023.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 23:30:23 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.29/1.74 % Version : CSE_E---1.7
% 1.29/1.74 % Problem : theBenchmark.p
% 1.29/1.74 % SZS status Theorem for theBenchmark.p
% 1.29/1.74 % SZS output start CNFRefutation
% See solution above
% 1.29/1.74 % Total time : 1.374s
%------------------------------------------------------------------------------