%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT033+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 : 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 04:47:32 PM UTC 2026
% Result : CounterSatisfiable 1.28s 1.72s
% Output : Saturation 1.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(mp_durations_are_time_intervals,axiom,
! [X1,X6,X7,X4] :
( ( environment(X1)
& in_environment(X1,X6)
& in_environment(X1,X7)
& greater_or_equal(X7,X4)
& greater_or_equal(X4,X6) )
=> in_environment(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_durations_are_time_intervals) ).
fof(mp_no_FM_before_opening,axiom,
! [X1] :
( environment(X1)
=> greater_or_equal(appear(first_movers,X1),start_time(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_FM_before_opening) ).
fof(prove_t2,conjecture,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4)
& greater_or_equal(X4,appear(first_movers,X1))
& greater(appear(efficient_producers,X1),X4) )
=> selection_favors(first_movers,efficient_producers,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t2) ).
fof(mp_FM_means_organisations,axiom,
! [X1] :
( ( environment(X1)
& in_environment(X1,appear(first_movers,X1)) )
=> in_environment(X1,appear(an_organisation,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_means_organisations) ).
fof(l13,hypothesis,
! [X1] :
( ( environment(X1)
& in_environment(X1,appear(an_organisation,X1)) )
=> appear(an_organisation,X1) = appear(first_movers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l13) ).
fof(mp_opening_time_in_duration,axiom,
! [X1] :
( environment(X1)
=> in_environment(X1,start_time(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_opening_time_in_duration) ).
fof(a9,hypothesis,
! [X1,X5,X4] :
( ( environment(X1)
& subpopulation(X5,X1,X4)
& greater(cardinality_at_time(X5,X4),zero) )
=> ( X5 = efficient_producers
| X5 = first_movers ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a9) ).
fof(mp_positive_sum_means_members,axiom,
! [X1,X4] :
( ( environment(X1)
& greater(number_of_organizations(X1,X4),zero) )
=> ? [X5] :
( subpopulation(X5,X1,X4)
& greater(cardinality_at_time(X5,X4),zero) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_sum_means_members) ).
fof(a1,hypothesis,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4)
& greater_or_equal(X4,appear(an_organisation,X1)) )
=> greater(number_of_organizations(X1,X4),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(mp_subpopulations,axiom,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4) )
=> ( subpopulation(first_movers,X1,X4)
& subpopulation(efficient_producers,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(mp_not_present_before_appearance,axiom,
! [X1,X5,X4] :
( ( environment(X1)
& in_environment(X1,X4)
& greater(appear(X5,X1),X4) )
=> cardinality_at_time(X5,X4) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_not_present_before_appearance) ).
fof(mp_zero_is_not_positive,axiom,
! [X5,X4] :
( cardinality_at_time(X5,t) = zero
=> ~ greater(cardinality_at_time(X5,X4),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_zero_is_not_positive) ).
fof(mp2_favour_members,axiom,
! [X1,X2,X3,X4] :
( ( environment(X1)
& subpopulation(X2,X1,X4)
& subpopulation(X3,X1,X4)
& greater(cardinality_at_time(X2,X4),zero)
& cardinality_at_time(X3,X4) = zero )
=> selection_favors(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members) ).
fof(mp_positive_and_sustains,axiom,
! [X1,X4] :
( ( environment(X1)
& greater(number_of_organizations(X1,X4),zero) )
=> in_environment(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_and_sustains) ).
fof(c_0_14,plain,
! [X53,X54,X55,X56] :
( ~ environment(X53)
| ~ in_environment(X53,X54)
| ~ in_environment(X53,X55)
| ~ greater_or_equal(X55,X56)
| ~ greater_or_equal(X56,X54)
| in_environment(X53,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_durations_are_time_intervals])]) ).
fof(c_0_15,plain,
! [X58] :
( ~ environment(X58)
| greater_or_equal(appear(first_movers,X58),start_time(X58)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_no_FM_before_opening])]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4)
& greater_or_equal(X4,appear(first_movers,X1))
& greater(appear(efficient_producers,X1),X4) )
=> selection_favors(first_movers,efficient_producers,X4) ),
inference(assume_negation,[status(cth)],[prove_t2]) ).
cnf(c_0_17,plain,
( in_environment(X1,X4)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ in_environment(X1,X3)
| ~ greater_or_equal(X3,X4)
| ~ greater_or_equal(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_18,plain,
( greater_or_equal(appear(first_movers,X1),start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
fof(c_0_19,negated_conjecture,
( environment(esk2_0)
& in_environment(esk2_0,esk3_0)
& greater_or_equal(esk3_0,appear(first_movers,esk2_0))
& greater(appear(efficient_producers,esk2_0),esk3_0)
& ~ selection_favors(first_movers,efficient_producers,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,plain,
! [X61] :
( ~ environment(X61)
| ~ in_environment(X61,appear(first_movers,X61))
| in_environment(X61,appear(an_organisation,X61)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_FM_means_organisations])]) ).
cnf(c_0_21,plain,
( in_environment(X1,appear(first_movers,X2))
| ~ greater_or_equal(X3,appear(first_movers,X2))
| ~ in_environment(X1,start_time(X2))
| ~ in_environment(X1,X3)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[final] ).
cnf(c_0_22,negated_conjecture,
greater_or_equal(esk3_0,appear(first_movers,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
environment(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
fof(c_0_24,hypothesis,
! [X67] :
( ~ environment(X67)
| ~ in_environment(X67,appear(an_organisation,X67))
| appear(an_organisation,X67) = appear(first_movers,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l13])]) ).
cnf(c_0_25,plain,
( in_environment(X1,appear(an_organisation,X1))
| ~ environment(X1)
| ~ in_environment(X1,appear(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_26,negated_conjecture,
( in_environment(X1,appear(first_movers,esk2_0))
| ~ in_environment(X1,start_time(esk2_0))
| ~ in_environment(X1,esk3_0)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
in_environment(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_28,hypothesis,
( appear(an_organisation,X1) = appear(first_movers,X1)
| ~ environment(X1)
| ~ in_environment(X1,appear(an_organisation,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]),
[final] ).
cnf(c_0_29,negated_conjecture,
( in_environment(esk2_0,appear(an_organisation,esk2_0))
| ~ in_environment(esk2_0,start_time(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23]),c_0_27])]),
[final] ).
fof(c_0_30,plain,
! [X57] :
( ~ environment(X57)
| in_environment(X57,start_time(X57)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_opening_time_in_duration])]) ).
fof(c_0_31,hypothesis,
! [X64,X65,X66] :
( ~ environment(X64)
| ~ subpopulation(X65,X64,X66)
| ~ greater(cardinality_at_time(X65,X66),zero)
| X65 = efficient_producers
| X65 = first_movers ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a9])]) ).
fof(c_0_32,plain,
! [X46,X47] :
( ( subpopulation(esk1_2(X46,X47),X46,X47)
| ~ environment(X46)
| ~ greater(number_of_organizations(X46,X47),zero) )
& ( greater(cardinality_at_time(esk1_2(X46,X47),X47),zero)
| ~ environment(X46)
| ~ greater(number_of_organizations(X46,X47),zero) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_positive_sum_means_members])])])]) ).
cnf(c_0_33,hypothesis,
( appear(first_movers,esk2_0) = appear(an_organisation,esk2_0)
| ~ in_environment(esk2_0,start_time(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_23])]) ).
cnf(c_0_34,plain,
( in_environment(X1,start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_35,hypothesis,
( X2 = efficient_producers
| X2 = first_movers
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_36,plain,
( greater(cardinality_at_time(esk1_2(X1,X2),X2),zero)
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
fof(c_0_37,hypothesis,
! [X62,X63] :
( ~ environment(X62)
| ~ in_environment(X62,X63)
| ~ greater_or_equal(X63,appear(an_organisation,X62))
| greater(number_of_organizations(X62,X63),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1])]) ).
cnf(c_0_38,hypothesis,
appear(first_movers,esk2_0) = appear(an_organisation,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_23])]),
[final] ).
fof(c_0_39,plain,
! [X59,X60] :
( ( subpopulation(first_movers,X59,X60)
| ~ environment(X59)
| ~ in_environment(X59,X60) )
& ( subpopulation(efficient_producers,X59,X60)
| ~ environment(X59)
| ~ in_environment(X59,X60) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_subpopulations])])]) ).
fof(c_0_40,plain,
! [X43,X44,X45] :
( ~ environment(X43)
| ~ in_environment(X43,X45)
| ~ greater(appear(X44,X43),X45)
| cardinality_at_time(X44,X45) = zero ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_not_present_before_appearance])]) ).
fof(c_0_41,plain,
! [X5,X4] :
( cardinality_at_time(X5,t) = zero
=> ~ greater(cardinality_at_time(X5,X4),zero) ),
inference(fof_simplification,[status(thm)],[mp_zero_is_not_positive]) ).
cnf(c_0_42,hypothesis,
( esk1_2(X1,X2) = efficient_producers
| esk1_2(X1,X2) = first_movers
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ subpopulation(esk1_2(X1,X2),X3,X2)
| ~ environment(X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
( subpopulation(esk1_2(X1,X2),X1,X2)
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_44,hypothesis,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_45,negated_conjecture,
greater_or_equal(esk3_0,appear(an_organisation,esk2_0)),
inference(rw,[status(thm)],[c_0_22,c_0_38]),
[final] ).
fof(c_0_46,plain,
! [X39,X40,X41,X42] :
( ~ environment(X39)
| ~ subpopulation(X40,X39,X42)
| ~ subpopulation(X41,X39,X42)
| ~ greater(cardinality_at_time(X40,X42),zero)
| cardinality_at_time(X41,X42) != zero
| selection_favors(X40,X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp2_favour_members])]) ).
cnf(c_0_47,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_48,plain,
( cardinality_at_time(X3,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_49,negated_conjecture,
greater(appear(efficient_producers,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
fof(c_0_50,plain,
! [X49,X50] :
( cardinality_at_time(X49,t) != zero
| ~ greater(cardinality_at_time(X49,X50),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
cnf(c_0_51,hypothesis,
( esk1_2(X1,X2) = first_movers
| esk1_2(X1,X2) = efficient_producers
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_52,hypothesis,
greater(number_of_organizations(esk2_0,esk3_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_27]),c_0_23])]),
[final] ).
cnf(c_0_53,plain,
( selection_favors(X2,X4,X3)
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ subpopulation(X4,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero)
| cardinality_at_time(X4,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_46]),
[final] ).
cnf(c_0_54,negated_conjecture,
subpopulation(efficient_producers,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_23])]),
[final] ).
cnf(c_0_55,negated_conjecture,
cardinality_at_time(efficient_producers,esk3_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_27]),c_0_23])]),
[final] ).
cnf(c_0_56,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_57,plain,
( cardinality_at_time(X1,t) != zero
| ~ greater(cardinality_at_time(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_58,hypothesis,
( esk1_2(esk2_0,esk3_0) = efficient_producers
| esk1_2(esk2_0,esk3_0) = first_movers ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_23])]),
[final] ).
cnf(c_0_59,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_60,negated_conjecture,
( selection_favors(X1,efficient_producers,esk3_0)
| ~ greater(cardinality_at_time(X1,esk3_0),zero)
| ~ subpopulation(X1,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_23])]),c_0_55])]),
[final] ).
cnf(c_0_61,negated_conjecture,
subpopulation(first_movers,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_27]),c_0_23])]),
[final] ).
cnf(c_0_62,negated_conjecture,
( subpopulation(efficient_producers,esk2_0,appear(an_organisation,esk2_0))
| ~ in_environment(esk2_0,start_time(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_29]),c_0_23])]) ).
cnf(c_0_63,negated_conjecture,
( subpopulation(first_movers,esk2_0,appear(an_organisation,esk2_0))
| ~ in_environment(esk2_0,start_time(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_29]),c_0_23])]) ).
cnf(c_0_64,plain,
( subpopulation(efficient_producers,X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_34]),
[final] ).
cnf(c_0_65,plain,
( subpopulation(first_movers,X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_34]),
[final] ).
cnf(c_0_66,plain,
( cardinality_at_time(esk1_2(X1,X2),t) != zero
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_36]),
[final] ).
cnf(c_0_67,hypothesis,
( esk1_2(esk2_0,esk3_0) = first_movers
| greater(zero,zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_58]),c_0_55]),c_0_52]),c_0_23])]) ).
cnf(c_0_68,negated_conjecture,
~ greater(cardinality_at_time(first_movers,esk3_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),
[final] ).
cnf(c_0_69,negated_conjecture,
subpopulation(efficient_producers,esk2_0,appear(an_organisation,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_34]),c_0_23])]),
[final] ).
cnf(c_0_70,negated_conjecture,
subpopulation(first_movers,esk2_0,appear(an_organisation,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_34]),c_0_23])]),
[final] ).
cnf(c_0_71,negated_conjecture,
subpopulation(efficient_producers,esk2_0,start_time(esk2_0)),
inference(spm,[status(thm)],[c_0_64,c_0_23]),
[final] ).
cnf(c_0_72,negated_conjecture,
subpopulation(first_movers,esk2_0,start_time(esk2_0)),
inference(spm,[status(thm)],[c_0_65,c_0_23]),
[final] ).
cnf(c_0_73,hypothesis,
cardinality_at_time(esk1_2(esk2_0,esk3_0),t) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_52]),c_0_23])]),
[final] ).
cnf(c_0_74,negated_conjecture,
( in_environment(X1,appear(an_organisation,esk2_0))
| ~ in_environment(X1,start_time(esk2_0))
| ~ in_environment(X1,esk3_0)
| ~ environment(X1) ),
inference(rw,[status(thm)],[c_0_26,c_0_38]),
[final] ).
cnf(c_0_75,negated_conjecture,
( in_environment(X1,esk3_0)
| ~ greater_or_equal(X2,esk3_0)
| ~ in_environment(X1,appear(first_movers,esk2_0))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
fof(c_0_76,plain,
! [X51,X52] :
( ~ environment(X51)
| ~ greater(number_of_organizations(X51,X52),zero)
| in_environment(X51,X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_positive_and_sustains])]) ).
cnf(c_0_77,hypothesis,
( esk1_2(esk2_0,esk3_0) = first_movers
| efficient_producers != first_movers ),
inference(ef,[status(thm)],[c_0_58]),
[final] ).
cnf(c_0_78,negated_conjecture,
( cardinality_at_time(efficient_producers,t) != zero
| ~ greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
cnf(c_0_79,hypothesis,
greater(zero,zero),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_67]),c_0_52]),c_0_23])]),c_0_68]),
[final] ).
cnf(c_0_80,negated_conjecture,
( selection_favors(X1,efficient_producers,appear(an_organisation,esk2_0))
| cardinality_at_time(efficient_producers,appear(an_organisation,esk2_0)) != zero
| ~ greater(cardinality_at_time(X1,appear(an_organisation,esk2_0)),zero)
| ~ subpopulation(X1,esk2_0,appear(an_organisation,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_69]),c_0_23])]),
[final] ).
cnf(c_0_81,negated_conjecture,
( selection_favors(X1,first_movers,appear(an_organisation,esk2_0))
| cardinality_at_time(first_movers,appear(an_organisation,esk2_0)) != zero
| ~ greater(cardinality_at_time(X1,appear(an_organisation,esk2_0)),zero)
| ~ subpopulation(X1,esk2_0,appear(an_organisation,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_70]),c_0_23])]),
[final] ).
cnf(c_0_82,negated_conjecture,
( selection_favors(X1,efficient_producers,start_time(esk2_0))
| cardinality_at_time(efficient_producers,start_time(esk2_0)) != zero
| ~ greater(cardinality_at_time(X1,start_time(esk2_0)),zero)
| ~ subpopulation(X1,esk2_0,start_time(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_71]),c_0_23])]),
[final] ).
cnf(c_0_83,negated_conjecture,
( selection_favors(X1,first_movers,start_time(esk2_0))
| cardinality_at_time(first_movers,start_time(esk2_0)) != zero
| ~ greater(cardinality_at_time(X1,start_time(esk2_0)),zero)
| ~ subpopulation(X1,esk2_0,start_time(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_72]),c_0_23])]),
[final] ).
cnf(c_0_84,hypothesis,
( in_environment(X1,appear(an_organisation,esk2_0))
| ~ greater_or_equal(X2,appear(an_organisation,esk2_0))
| ~ in_environment(X1,start_time(esk2_0))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_38]),c_0_23])]),
[final] ).
cnf(c_0_85,plain,
( selection_favors(X1,esk1_2(X2,X3),X3)
| cardinality_at_time(esk1_2(X2,X3),X3) != zero
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ greater(number_of_organizations(X2,X3),zero)
| ~ subpopulation(X1,X2,X3)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_43]),
[final] ).
cnf(c_0_86,hypothesis,
( esk1_2(esk2_0,esk3_0) = first_movers
| cardinality_at_time(efficient_producers,t) != zero ),
inference(spm,[status(thm)],[c_0_73,c_0_58]),
[final] ).
cnf(c_0_87,negated_conjecture,
( subpopulation(efficient_producers,X1,appear(an_organisation,esk2_0))
| ~ in_environment(X1,start_time(esk2_0))
| ~ in_environment(X1,esk3_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_74]),
[final] ).
cnf(c_0_88,negated_conjecture,
( subpopulation(first_movers,X1,appear(an_organisation,esk2_0))
| ~ in_environment(X1,start_time(esk2_0))
| ~ in_environment(X1,esk3_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_74]),
[final] ).
cnf(c_0_89,hypothesis,
( cardinality_at_time(first_movers,X1) = zero
| ~ in_environment(esk2_0,X1)
| ~ greater(appear(an_organisation,esk2_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_38]),c_0_23])]),
[final] ).
cnf(c_0_90,negated_conjecture,
( in_environment(X1,esk3_0)
| ~ greater_or_equal(X2,esk3_0)
| ~ in_environment(X1,appear(an_organisation,esk2_0))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(rw,[status(thm)],[c_0_75,c_0_38]),
[final] ).
cnf(c_0_91,negated_conjecture,
( selection_favors(X1,first_movers,esk3_0)
| cardinality_at_time(first_movers,esk3_0) != zero
| ~ greater(cardinality_at_time(X1,esk3_0),zero)
| ~ subpopulation(X1,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_61]),c_0_23])]),
[final] ).
cnf(c_0_92,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_76]),
[final] ).
cnf(c_0_93,hypothesis,
efficient_producers != first_movers,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_77]),c_0_52]),c_0_23])]),c_0_68]),
[final] ).
cnf(c_0_94,negated_conjecture,
cardinality_at_time(efficient_producers,t) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]),
[final] ).
cnf(c_0_95,hypothesis,
greater_or_equal(appear(an_organisation,esk2_0),start_time(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_38]),c_0_23])]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT033+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n023.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 23:28:54 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start Saturation
% See solution above
% 1.28/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------