%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT031+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 : n025.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 : CounterSatisfiable 1.26s 1.72s
% Output : Saturation 1.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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_FM_not_precede_first,axiom,
! [X1] :
( environment(X1)
=> greater_or_equal(appear(first_movers,X1),appear(an_organisation,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_not_precede_first) ).
fof(prove_l13,conjecture,
! [X1] :
( ( environment(X1)
& in_environment(X1,appear(an_organisation,X1)) )
=> appear(an_organisation,X1) = appear(first_movers,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l13) ).
fof(a9,hypothesis,
! [X1,X4,X2] :
( ( environment(X1)
& subpopulation(X4,X1,X2)
& greater(cardinality_at_time(X4,X2),zero) )
=> ( X4 = efficient_producers
| X4 = first_movers ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9) ).
fof(mp_number_mean_non_empty,axiom,
! [X1,X2] :
( ( environment(X1)
& greater(number_of_organizations(X1,X2),zero) )
=> ? [X3] :
( subpopulation(X3,X1,X2)
& greater(cardinality_at_time(X3,X2),zero) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_number_mean_non_empty) ).
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_positive_number_when_appear,axiom,
! [X1] :
( environment(X1)
=> greater(number_of_organizations(e,appear(an_organisation,X1)),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_number_when_appear) ).
fof(a13,hypothesis,
! [X1] :
( environment(X1)
=> greater(appear(efficient_producers,e),appear(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13) ).
fof(mp_no_FM_before_appearance,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(appear(first_movers,X1),X2) )
=> ~ greater(cardinality_at_time(first_movers,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_FM_before_appearance) ).
fof(mp_no_EP_before_appearance,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(appear(efficient_producers,X1),X2) )
=> ~ greater(cardinality_at_time(efficient_producers,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_EP_before_appearance) ).
fof(c_0_10,plain,
! [X38,X39] :
( ( ~ greater_or_equal(X38,X39)
| greater(X38,X39)
| X38 = X39 )
& ( ~ greater(X38,X39)
| greater_or_equal(X38,X39) )
& ( X38 != X39
| greater_or_equal(X38,X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])]) ).
fof(c_0_11,plain,
! [X34] :
( ~ environment(X34)
| greater_or_equal(appear(first_movers,X34),appear(an_organisation,X34)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_FM_not_precede_first])]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& in_environment(X1,appear(an_organisation,X1)) )
=> appear(an_organisation,X1) = appear(first_movers,X1) ),
inference(assume_negation,[status(cth)],[prove_l13]) ).
cnf(c_0_13,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_14,plain,
( greater_or_equal(appear(first_movers,X1),appear(an_organisation,X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]),
[final] ).
fof(c_0_15,negated_conjecture,
( environment(esk2_0)
& in_environment(esk2_0,appear(an_organisation,esk2_0))
& appear(an_organisation,esk2_0) != appear(first_movers,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_16,hypothesis,
! [X40,X41,X42] :
( ~ environment(X40)
| ~ subpopulation(X41,X40,X42)
| ~ greater(cardinality_at_time(X41,X42),zero)
| X41 = efficient_producers
| X41 = first_movers ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a9])]) ).
fof(c_0_17,plain,
! [X27,X28] :
( ( subpopulation(esk1_2(X27,X28),X27,X28)
| ~ environment(X27)
| ~ greater(number_of_organizations(X27,X28),zero) )
& ( greater(cardinality_at_time(esk1_2(X27,X28),X28),zero)
| ~ environment(X27)
| ~ greater(number_of_organizations(X27,X28),zero) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_number_mean_non_empty])])])]) ).
fof(c_0_18,plain,
! [X35,X36,X37] :
( ~ greater(X35,X36)
| ~ greater(X36,X37)
| greater(X35,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).
cnf(c_0_19,plain,
( appear(an_organisation,X1) = appear(first_movers,X1)
| greater(appear(first_movers,X1),appear(an_organisation,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_20,negated_conjecture,
environment(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_21,negated_conjecture,
appear(an_organisation,esk2_0) != appear(first_movers,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_22,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_16]),
[final] ).
cnf(c_0_23,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_17]),
[final] ).
cnf(c_0_24,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
cnf(c_0_25,negated_conjecture,
greater(appear(first_movers,esk2_0),appear(an_organisation,esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[final] ).
cnf(c_0_26,hypothesis,
( esk1_2(X1,X2) = first_movers
| esk1_2(X1,X2) = efficient_producers
| ~ subpopulation(esk1_2(X1,X2),X3,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ environment(X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( subpopulation(esk1_2(X1,X2),X1,X2)
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_17]),
[final] ).
fof(c_0_28,plain,
! [X26] :
( ~ environment(X26)
| greater(number_of_organizations(e,appear(an_organisation,X26)),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_positive_number_when_appear])]) ).
fof(c_0_29,hypothesis,
! [X43] :
( ~ environment(X43)
| greater(appear(efficient_producers,e),appear(first_movers,X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a13])]) ).
cnf(c_0_30,negated_conjecture,
( greater(X1,appear(an_organisation,esk2_0))
| ~ greater(X1,appear(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
fof(c_0_31,plain,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(appear(first_movers,X1),X2) )
=> ~ greater(cardinality_at_time(first_movers,X2),zero) ),
inference(fof_simplification,[status(thm)],[mp_no_FM_before_appearance]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(appear(efficient_producers,X1),X2) )
=> ~ greater(cardinality_at_time(efficient_producers,X2),zero) ),
inference(fof_simplification,[status(thm)],[mp_no_EP_before_appearance]) ).
cnf(c_0_33,hypothesis,
( esk1_2(X1,X2) = efficient_producers
| esk1_2(X1,X2) = first_movers
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]),
[final] ).
cnf(c_0_34,plain,
( greater(number_of_organizations(e,appear(an_organisation,X1)),zero)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_35,hypothesis,
( greater(appear(efficient_producers,e),appear(first_movers,X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_36,negated_conjecture,
( greater(X1,appear(an_organisation,esk2_0))
| ~ greater(X2,appear(first_movers,esk2_0))
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_30]),
[final] ).
fof(c_0_37,plain,
! [X32,X33] :
( ~ environment(X32)
| ~ in_environment(X32,X33)
| ~ greater(appear(first_movers,X32),X33)
| ~ greater(cardinality_at_time(first_movers,X33),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_38,plain,
! [X30,X31] :
( ~ environment(X30)
| ~ in_environment(X30,X31)
| ~ greater(appear(efficient_producers,X30),X31)
| ~ greater(cardinality_at_time(efficient_producers,X31),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
cnf(c_0_39,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,hypothesis,
( esk1_2(e,appear(an_organisation,X1)) = first_movers
| esk1_2(e,appear(an_organisation,X1)) = efficient_producers
| ~ environment(e)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]),
[final] ).
cnf(c_0_41,plain,
( greater(X1,zero)
| ~ greater(X1,cardinality_at_time(esk1_2(X2,X3),X3))
| ~ greater(number_of_organizations(X2,X3),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]),
[final] ).
cnf(c_0_42,plain,
( greater(X1,zero)
| ~ greater(X1,number_of_organizations(e,appear(an_organisation,X2)))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_34]),
[final] ).
cnf(c_0_43,hypothesis,
( greater(X1,appear(first_movers,X2))
| ~ greater(X1,appear(efficient_producers,e))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_35]),
[final] ).
cnf(c_0_44,hypothesis,
( greater(X1,appear(an_organisation,esk2_0))
| ~ greater(X1,appear(efficient_producers,e)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_20])]),
[final] ).
cnf(c_0_45,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(first_movers,X1),X2)
| ~ greater(cardinality_at_time(first_movers,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_46,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(efficient_producers,X1),X2)
| ~ greater(cardinality_at_time(efficient_producers,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_38]),
[final] ).
cnf(c_0_47,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_48,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_49,negated_conjecture,
in_environment(esk2_0,appear(an_organisation,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT031+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
% 0.16/0.33 % Computer : n025.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 23:27:43 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start Saturation
% See solution above
% 1.26/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------