%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT019+2 : 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 : n010.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 04:47:07 PM UTC 2026
% Result : CounterSatisfiable 1.24s 1.71s
% Output : Saturation 1.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(prove_l1,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X5] :
( in_environment(X1,X5)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,X5) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l1) ).
fof(a8,hypothesis,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X5] :
( in_environment(X1,X5)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,X5) )
=> greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a8) ).
fof(mp_greater_or_equal,axiom,
! [X3,X4] :
( greater_or_equal(X3,X4)
=> ( greater(X3,X4)
| X3 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(l2,axiom,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
fof(mp_EP_lower_disbanding_rate,axiom,
! [X2] :
( ( greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
& greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2)) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_lower_disbanding_rate) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X5] :
( in_environment(X1,X5)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,X5) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
inference(assume_negation,[status(cth)],[prove_l1]) ).
fof(c_0_6,hypothesis,
! [X22,X24] :
( ( in_environment(X22,esk3_1(X22))
| ~ environment(X22)
| ~ stable(X22) )
& ( ~ subpopulations(first_movers,efficient_producers,X22,X24)
| ~ greater_or_equal(X24,esk3_1(X22))
| greater_or_equal(founding_rate(efficient_producers,X24),founding_rate(first_movers,X24))
| ~ environment(X22)
| ~ stable(X22) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a8])])])])]) ).
fof(c_0_7,negated_conjecture,
! [X26] :
( environment(esk4_0)
& stable(esk4_0)
& ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X26))
| ~ in_environment(esk4_0,X26) )
& ( greater_or_equal(esk5_1(X26),X26)
| ~ in_environment(esk4_0,X26) )
& ( ~ greater(growth_rate(efficient_producers,esk5_1(X26)),growth_rate(first_movers,esk5_1(X26)))
| ~ in_environment(esk4_0,X26) ) ),
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_5])])])])]) ).
fof(c_0_8,plain,
! [X20,X21] :
( ~ greater_or_equal(X20,X21)
| greater(X20,X21)
| X20 = X21 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])]) ).
cnf(c_0_9,hypothesis,
( greater_or_equal(founding_rate(efficient_producers,X2),founding_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_6]),
[final] ).
cnf(c_0_10,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1))
| ~ in_environment(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]),
[final] ).
cnf(c_0_11,negated_conjecture,
stable(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]),
[final] ).
cnf(c_0_12,negated_conjecture,
environment(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]),
[final] ).
cnf(c_0_13,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]),
[final] ).
cnf(c_0_14,negated_conjecture,
( greater_or_equal(founding_rate(efficient_producers,esk5_1(X1)),founding_rate(first_movers,esk5_1(X1)))
| ~ in_environment(esk4_0,X1)
| ~ greater_or_equal(esk5_1(X1),esk3_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[final] ).
fof(c_0_15,plain,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& ~ greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2])])]) ).
cnf(c_0_16,negated_conjecture,
( founding_rate(efficient_producers,esk5_1(X1)) = founding_rate(first_movers,esk5_1(X1))
| greater(founding_rate(efficient_producers,esk5_1(X1)),founding_rate(first_movers,esk5_1(X1)))
| ~ in_environment(esk4_0,X1)
| ~ greater_or_equal(esk5_1(X1),esk3_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_17,negated_conjecture,
( greater_or_equal(esk5_1(X1),X1)
| ~ in_environment(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]),
[final] ).
cnf(c_0_18,plain,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_19,plain,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_20,negated_conjecture,
( founding_rate(efficient_producers,esk5_1(esk3_1(esk4_0))) = founding_rate(first_movers,esk5_1(esk3_1(esk4_0)))
| greater(founding_rate(efficient_producers,esk5_1(esk3_1(esk4_0))),founding_rate(first_movers,esk5_1(esk3_1(esk4_0))))
| ~ in_environment(esk4_0,esk3_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,hypothesis,
( in_environment(X1,esk3_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_22,hypothesis,
( greater_or_equal(founding_rate(efficient_producers,esk2_0),founding_rate(first_movers,esk2_0))
| ~ stable(esk1_0)
| ~ greater_or_equal(esk2_0,esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_18]),c_0_19])]),
[final] ).
cnf(c_0_23,negated_conjecture,
( esk5_1(X1) = X1
| greater(esk5_1(X1),X1)
| ~ in_environment(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]),
[final] ).
fof(c_0_24,plain,
! [X19] :
( ~ greater(disbanding_rate(first_movers,X19),disbanding_rate(efficient_producers,X19))
| ~ greater_or_equal(founding_rate(efficient_producers,X19),founding_rate(first_movers,X19))
| greater(growth_rate(efficient_producers,X19),growth_rate(first_movers,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_EP_lower_disbanding_rate])]) ).
cnf(c_0_25,hypothesis,
( founding_rate(efficient_producers,esk5_1(esk3_1(esk4_0))) = founding_rate(first_movers,esk5_1(esk3_1(esk4_0)))
| greater(founding_rate(efficient_producers,esk5_1(esk3_1(esk4_0))),founding_rate(first_movers,esk5_1(esk3_1(esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]),c_0_12])]),
[final] ).
cnf(c_0_26,hypothesis,
( founding_rate(efficient_producers,esk2_0) = founding_rate(first_movers,esk2_0)
| greater(founding_rate(efficient_producers,esk2_0),founding_rate(first_movers,esk2_0))
| ~ stable(esk1_0)
| ~ greater_or_equal(esk2_0,esk3_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]),
[final] ).
cnf(c_0_27,hypothesis,
( esk5_1(esk3_1(esk4_0)) = esk3_1(esk4_0)
| greater(esk5_1(esk3_1(esk4_0)),esk3_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_11]),c_0_12])]),
[final] ).
cnf(c_0_28,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater_or_equal(founding_rate(efficient_producers,X1),founding_rate(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]),
[final] ).
cnf(c_0_29,negated_conjecture,
( ~ 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_7]),
[final] ).
cnf(c_0_30,plain,
~ greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT019+2 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 23:26:51 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status CounterSatisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start Saturation
% See solution above
% 1.24/1.71 % Total time : 1.369s
%------------------------------------------------------------------------------