TSTP Solution File: MGT027-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 : 600s
% DateTime : Sun Jul 17 22:23:21 EDT 2022
% Result : Unsatisfiable 5.21s 5.46s
% Output : Refutation 5.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_l9_39,negated_conjecture,
( ~ greater(X40,appear(efficient_producers,sk3))
| ~ contracts_from(X40,first_movers) ),
input ).
cnf(prove_l9_37,negated_conjecture,
environment(sk3),
input ).
cnf(prove_l9_38,negated_conjecture,
stable(sk3),
input ).
cnf(l10_35,plain,
( ~ environment(X41)
| ~ stable(X41)
| greater(sk2(X41),appear(efficient_producers,X41)) ),
input ).
cnf(c23,plain,
( ~ environment(sk3)
| greater(sk2(sk3),appear(efficient_producers,sk3)) ),
inference(resolution,status(thm),[l10_35,prove_l9_38]) ).
cnf(c29,plain,
greater(sk2(sk3),appear(efficient_producers,sk3)),
inference(resolution,status(thm),[c23,prove_l9_37]) ).
cnf(c33,plain,
~ contracts_from(sk2(sk3),first_movers),
inference(resolution,status(thm),[c29,prove_l9_39]) ).
cnf(mp_EP_in_stable_environments_29,axiom,
( ~ environment(X37)
| ~ stable(X37)
| in_environment(X37,appear(efficient_producers,X37)) ),
input ).
cnf(c19,plain,
( ~ environment(sk3)
| in_environment(sk3,appear(efficient_producers,sk3)) ),
inference(resolution,status(thm),[mp_EP_in_stable_environments_29,prove_l9_38]) ).
cnf(c20,plain,
in_environment(sk3,appear(efficient_producers,sk3)),
inference(resolution,status(thm),[c19,prove_l9_37]) ).
cnf(mp_long_stable_environments_28,axiom,
( ~ environment(X47)
| ~ stable(X47)
| ~ in_environment(X47,X48)
| ~ greater(X46,X48)
| in_environment(X47,X46) ),
input ).
cnf(c34,plain,
( ~ environment(X125)
| ~ stable(X125)
| ~ in_environment(X125,appear(efficient_producers,sk3))
| in_environment(X125,sk2(sk3)) ),
inference(resolution,status(thm),[c29,mp_long_stable_environments_28]) ).
cnf(c54,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(resolution,status(thm),[c34,c20]) ).
cnf(c55,plain,
( ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(resolution,status(thm),[c54,prove_l9_38]) ).
cnf(c56,plain,
in_environment(sk3,sk2(sk3)),
inference(resolution,status(thm),[c55,prove_l9_37]) ).
cnf(mp_contracts_from_26,axiom,
( ~ environment(X27)
| ~ stable(X27)
| ~ in_environment(X27,X28)
| ~ greater(zero,growth_rate(first_movers,sk1(X28,X27)))
| contracts_from(X28,first_movers) ),
input ).
cnf(mp_contracts_from_25,axiom,
( ~ environment(X16)
| ~ stable(X16)
| ~ in_environment(X16,X17)
| greater_or_equal(sk1(X17,X16),X17)
| contracts_from(X17,first_movers) ),
input ).
cnf(c59,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c56,mp_contracts_from_25]) ).
cnf(c101,plain,
( ~ environment(sk3)
| greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c59,prove_l9_38]) ).
cnf(c118,plain,
( greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c101,prove_l9_37]) ).
cnf(c122,plain,
greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3)),
inference(resolution,status(thm),[c118,c33]) ).
cnf(l10_36,plain,
( ~ environment(X69)
| ~ stable(X69)
| ~ subpopulations(first_movers,efficient_producers,X69,X70)
| ~ greater_or_equal(X70,sk2(X69))
| greater(zero,growth_rate(first_movers,X70)) ),
input ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c8,plain,
( X51 != X52
| X50 != X49
| ~ greater(X51,X50)
| greater(X52,X49) ),
eq_axiom ).
cnf(c30,plain,
( sk2(sk3) != X119
| appear(efficient_producers,sk3) != X120
| greater(X119,X120) ),
inference(resolution,status(thm),[c29,c8]) ).
cnf(c49,plain,
( sk2(sk3) != X121
| greater(X121,appear(efficient_producers,sk3)) ),
inference(resolution,status(thm),[c30,reflexivity]) ).
cnf(mp_greater_transitivity_30,axiom,
( ~ greater(X22,X23)
| ~ greater(X23,X21)
| greater(X22,X21) ),
input ).
cnf(c31,plain,
( ~ greater(X71,sk2(sk3))
| greater(X71,appear(efficient_producers,sk3)) ),
inference(resolution,status(thm),[c29,mp_greater_transitivity_30]) ).
cnf(symmetry,axiom,
( X11 != X10
| X10 = X11 ),
eq_axiom ).
cnf(mp_greater_or_equal_31,axiom,
( ~ greater_or_equal(X24,X25)
| greater(X24,X25)
| X24 = X25 ),
input ).
cnf(c124,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk1(sk2(sk3),sk3) = sk2(sk3) ),
inference(resolution,status(thm),[c122,mp_greater_or_equal_31]) ).
cnf(c145,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,status(thm),[c124,symmetry]) ).
cnf(c160,plain,
( sk2(sk3) = sk1(sk2(sk3),sk3)
| greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)) ),
inference(resolution,status(thm),[c145,c31]) ).
cnf(c218,plain,
greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)),
inference(resolution,status(thm),[c160,c49]) ).
cnf(c245,plain,
( ~ environment(X182)
| ~ stable(X182)
| ~ in_environment(X182,appear(efficient_producers,sk3))
| in_environment(X182,sk1(sk2(sk3),sk3)) ),
inference(resolution,status(thm),[c218,mp_long_stable_environments_28]) ).
cnf(c279,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,status(thm),[c245,c20]) ).
cnf(c280,plain,
( ~ environment(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,status(thm),[c279,prove_l9_38]) ).
cnf(c281,plain,
in_environment(sk3,sk1(sk2(sk3),sk3)),
inference(resolution,status(thm),[c280,prove_l9_37]) ).
cnf(mp_contracts_from_24,axiom,
( ~ environment(X7)
| ~ stable(X7)
| ~ in_environment(X7,X8)
| greater(cardinality_at_time(first_movers,sk1(X8,X7)),zero)
| contracts_from(X8,first_movers) ),
input ).
cnf(c57,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c56,mp_contracts_from_24]) ).
cnf(c90,plain,
( ~ environment(sk3)
| greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c57,prove_l9_38]) ).
cnf(c100,plain,
( greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c90,prove_l9_37]) ).
cnf(c107,plain,
greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero),
inference(resolution,status(thm),[c100,c33]) ).
cnf(mp_non_empty_fm_and_ep_27,axiom,
( ~ environment(X38)
| ~ in_environment(X38,X39)
| ~ greater(cardinality_at_time(first_movers,X39),zero)
| ~ greater(cardinality_at_time(efficient_producers,X39),zero)
| subpopulations(first_movers,efficient_producers,X38,X39) ),
input ).
cnf(t6_34,plain,
( ~ environment(X66)
| ~ in_environment(X66,X67)
| ~ greater_or_equal(X67,appear(efficient_producers,X66))
| greater(cardinality_at_time(efficient_producers,X67),zero) ),
input ).
cnf(mp_greater_or_equal_32,axiom,
( ~ greater(X3,X4)
| greater_or_equal(X3,X4) ),
input ).
cnf(c243,plain,
greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)),
inference(resolution,status(thm),[c218,mp_greater_or_equal_32]) ).
cnf(c246,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(resolution,status(thm),[c243,t6_34]) ).
cnf(c369,plain,
( ~ environment(sk3)
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(resolution,status(thm),[c246,c281]) ).
cnf(c370,plain,
greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero),
inference(resolution,status(thm),[c369,prove_l9_37]) ).
cnf(c371,plain,
( ~ environment(X680)
| ~ in_environment(X680,sk1(sk2(sk3),sk3))
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| subpopulations(first_movers,efficient_producers,X680,sk1(sk2(sk3),sk3)) ),
inference(resolution,status(thm),[c370,mp_non_empty_fm_and_ep_27]) ).
cnf(c3578,plain,
( ~ environment(X681)
| ~ in_environment(X681,sk1(sk2(sk3),sk3))
| subpopulations(first_movers,efficient_producers,X681,sk1(sk2(sk3),sk3)) ),
inference(resolution,status(thm),[c371,c107]) ).
cnf(c3579,plain,
( ~ environment(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,status(thm),[c3578,c281]) ).
cnf(c3580,plain,
subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)),
inference(resolution,status(thm),[c3579,prove_l9_37]) ).
cnf(c3581,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,status(thm),[c3580,l10_36]) ).
cnf(c7103,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,status(thm),[c3581,c122]) ).
cnf(c7104,plain,
( ~ environment(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,status(thm),[c7103,prove_l9_38]) ).
cnf(c7105,plain,
greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))),
inference(resolution,status(thm),[c7104,prove_l9_37]) ).
cnf(c7221,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ in_environment(sk3,sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c7105,mp_contracts_from_26]) ).
cnf(c7294,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c7221,c56]) ).
cnf(c7295,plain,
( ~ environment(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,status(thm),[c7294,prove_l9_38]) ).
cnf(c7296,plain,
contracts_from(sk2(sk3),first_movers),
inference(resolution,status(thm),[c7295,prove_l9_37]) ).
cnf(c7297,plain,
$false,
inference(resolution,status(thm),[c7296,c33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 09:29:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.21/5.46 # Version: 1.3
% 5.21/5.46 # SZS status Unsatisfiable
% 5.21/5.46 # SZS output start CNFRefutation
% See solution above
% 5.21/5.46
% 5.21/5.46 # Initial clauses : 31
% 5.21/5.46 # Processed clauses : 611
% 5.21/5.46 # Factors computed : 0
% 5.21/5.46 # Resolvents computed: 7287
% 5.21/5.46 # Tautologies deleted: 3
% 5.21/5.46 # Forward subsumed : 506
% 5.21/5.46 # Backward subsumed : 41
% 5.21/5.46 # -------- CPU Time ---------
% 5.21/5.46 # User time : 5.037 s
% 5.21/5.46 # System time : 0.039 s
% 5.21/5.46 # Total time : 5.076 s
%------------------------------------------------------------------------------