TSTP Solution File: MGT027-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 : Thu May 9 17:33:09 EDT 2024
% Result : Unsatisfiable 5.47s 5.70s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 18
% Syntax : Number of clauses : 63 ( 17 unt; 12 nHn; 62 RR)
% Number of literals : 158 ( 12 equ; 85 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_l9_39,negated_conjecture,
( ~ greater(X42,appear(efficient_producers,sk3))
| ~ contracts_from(X42,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_39) ).
cnf(prove_l9_37,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_37) ).
cnf(prove_l9_38,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_38) ).
cnf(l10_35,plain,
( ~ environment(X46)
| ~ stable(X46)
| greater(sk2(X46),appear(efficient_producers,X46)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_35) ).
cnf(c25,plain,
( ~ environment(sk3)
| greater(sk2(sk3),appear(efficient_producers,sk3)) ),
inference(resolution,[status(thm)],[l10_35,prove_l9_38]) ).
cnf(c32,plain,
greater(sk2(sk3),appear(efficient_producers,sk3)),
inference(resolution,[status(thm)],[c25,prove_l9_37]) ).
cnf(c36,plain,
~ contracts_from(sk2(sk3),first_movers),
inference(resolution,[status(thm)],[c32,prove_l9_39]) ).
cnf(mp_EP_in_stable_environments_29,axiom,
( ~ environment(X41)
| ~ stable(X41)
| in_environment(X41,appear(efficient_producers,X41)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_in_stable_environments_29) ).
cnf(c21,plain,
( ~ environment(sk3)
| in_environment(sk3,appear(efficient_producers,sk3)) ),
inference(resolution,[status(thm)],[mp_EP_in_stable_environments_29,prove_l9_38]) ).
cnf(c22,plain,
in_environment(sk3,appear(efficient_producers,sk3)),
inference(resolution,[status(thm)],[c21,prove_l9_37]) ).
cnf(mp_long_stable_environments_28,axiom,
( ~ environment(X44)
| ~ stable(X44)
| ~ in_environment(X44,X45)
| ~ greater(X43,X45)
| in_environment(X44,X43) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments_28) ).
cnf(c34,plain,
( ~ environment(X141)
| ~ stable(X141)
| ~ in_environment(X141,appear(efficient_producers,sk3))
| in_environment(X141,sk2(sk3)) ),
inference(resolution,[status(thm)],[c32,mp_long_stable_environments_28]) ).
cnf(c65,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[c34,c22]) ).
cnf(c66,plain,
( ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[c65,prove_l9_38]) ).
cnf(c67,plain,
in_environment(sk3,sk2(sk3)),
inference(resolution,[status(thm)],[c66,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_26) ).
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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_25) ).
cnf(c69,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c67,mp_contracts_from_25]) ).
cnf(c118,plain,
( ~ environment(sk3)
| greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c69,prove_l9_38]) ).
cnf(c129,plain,
( greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c118,prove_l9_37]) ).
cnf(c132,plain,
greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3)),
inference(resolution,[status(thm)],[c129,c36]) ).
cnf(l10_36,plain,
( ~ environment(X73)
| ~ stable(X73)
| ~ subpopulations(first_movers,efficient_producers,X73,X74)
| ~ greater_or_equal(X74,sk2(X73))
| greater(zero,growth_rate(first_movers,X74)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_36) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c8,axiom,
( X53 != X52
| X51 != X54
| ~ greater(X53,X51)
| greater(X52,X54) ),
theory(equality) ).
cnf(c35,plain,
( sk2(sk3) != X135
| appear(efficient_producers,sk3) != X136
| greater(X135,X136) ),
inference(resolution,[status(thm)],[c32,c8]) ).
cnf(c59,plain,
( sk2(sk3) != X137
| greater(X137,appear(efficient_producers,sk3)) ),
inference(resolution,[status(thm)],[c35,reflexivity]) ).
cnf(mp_greater_transitivity_30,axiom,
( ~ greater(X22,X23)
| ~ greater(X23,X21)
| greater(X22,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
cnf(c33,plain,
( ~ greater(X75,sk2(sk3))
| greater(X75,appear(efficient_producers,sk3)) ),
inference(resolution,[status(thm)],[c32,mp_greater_transitivity_30]) ).
cnf(symmetry,axiom,
( X11 != X10
| X10 = X11 ),
theory(equality) ).
cnf(mp_greater_or_equal_31,axiom,
( ~ greater_or_equal(X25,X26)
| greater(X25,X26)
| X25 = X26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
cnf(c134,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk1(sk2(sk3),sk3) = sk2(sk3) ),
inference(resolution,[status(thm)],[c132,mp_greater_or_equal_31]) ).
cnf(c152,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[status(thm)],[c134,symmetry]) ).
cnf(c175,plain,
( sk2(sk3) = sk1(sk2(sk3),sk3)
| greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)) ),
inference(resolution,[status(thm)],[c152,c33]) ).
cnf(c238,plain,
greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)),
inference(resolution,[status(thm)],[c175,c59]) ).
cnf(c268,plain,
( ~ environment(X198)
| ~ stable(X198)
| ~ in_environment(X198,appear(efficient_producers,sk3))
| in_environment(X198,sk1(sk2(sk3),sk3)) ),
inference(resolution,[status(thm)],[c238,mp_long_stable_environments_28]) ).
cnf(c310,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,[status(thm)],[c268,c22]) ).
cnf(c311,plain,
( ~ environment(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,[status(thm)],[c310,prove_l9_38]) ).
cnf(c312,plain,
in_environment(sk3,sk1(sk2(sk3),sk3)),
inference(resolution,[status(thm)],[c311,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_24) ).
cnf(c68,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)],[c67,mp_contracts_from_24]) ).
cnf(c101,plain,
( ~ environment(sk3)
| greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c68,prove_l9_38]) ).
cnf(c111,plain,
( greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c101,prove_l9_37]) ).
cnf(c116,plain,
greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero),
inference(resolution,[status(thm)],[c111,c36]) ).
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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_27) ).
cnf(t6_34,plain,
( ~ environment(X63)
| ~ in_environment(X63,X64)
| ~ greater_or_equal(X64,appear(efficient_producers,X63))
| greater(cardinality_at_time(efficient_producers,X64),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_34) ).
cnf(mp_greater_or_equal_32,axiom,
( ~ greater(X3,X4)
| greater_or_equal(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
cnf(c271,plain,
greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)),
inference(resolution,[status(thm)],[c238,mp_greater_or_equal_32]) ).
cnf(c298,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)],[c271,t6_34]) ).
cnf(c386,plain,
( ~ environment(sk3)
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(resolution,[status(thm)],[c298,c312]) ).
cnf(c387,plain,
greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero),
inference(resolution,[status(thm)],[c386,prove_l9_37]) ).
cnf(c415,plain,
( ~ environment(X851)
| ~ in_environment(X851,sk1(sk2(sk3),sk3))
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| subpopulations(first_movers,efficient_producers,X851,sk1(sk2(sk3),sk3)) ),
inference(resolution,[status(thm)],[c387,mp_non_empty_fm_and_ep_27]) ).
cnf(c5735,plain,
( ~ environment(X852)
| ~ in_environment(X852,sk1(sk2(sk3),sk3))
| subpopulations(first_movers,efficient_producers,X852,sk1(sk2(sk3),sk3)) ),
inference(resolution,[status(thm)],[c415,c116]) ).
cnf(c5736,plain,
( ~ environment(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,[status(thm)],[c5735,c312]) ).
cnf(c5737,plain,
subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)),
inference(resolution,[status(thm)],[c5736,prove_l9_37]) ).
cnf(c5738,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)],[c5737,l10_36]) ).
cnf(c8071,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,[status(thm)],[c5738,c132]) ).
cnf(c8072,plain,
( ~ environment(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,[status(thm)],[c8071,prove_l9_38]) ).
cnf(c8073,plain,
greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))),
inference(resolution,[status(thm)],[c8072,prove_l9_37]) ).
cnf(c8077,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ in_environment(sk3,sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c8073,mp_contracts_from_26]) ).
cnf(c8156,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c8077,c67]) ).
cnf(c8157,plain,
( ~ environment(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[status(thm)],[c8156,prove_l9_38]) ).
cnf(c8217,plain,
contracts_from(sk2(sk3),first_movers),
inference(resolution,[status(thm)],[c8157,prove_l9_37]) ).
cnf(c8218,plain,
$false,
inference(resolution,[status(thm)],[c8217,c36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 9 01:01:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 5.47/5.70 % Version: 1.5
% 5.47/5.70 % SZS status Unsatisfiable
% 5.47/5.70 % SZS output start CNFRefutation
% See solution above
% 5.47/5.71
% 5.47/5.71 % Initial clauses : 31
% 5.47/5.71 % Processed clauses : 629
% 5.47/5.71 % Factors computed : 7
% 5.47/5.71 % Resolvents computed: 8201
% 5.47/5.71 % Tautologies deleted: 5
% 5.47/5.71 % Forward subsumed : 562
% 5.47/5.71 % Backward subsumed : 41
% 5.47/5.71 % -------- CPU Time ---------
% 5.47/5.71 % User time : 5.337 s
% 5.47/5.71 % System time : 0.034 s
% 5.47/5.71 % Total time : 5.371 s
%------------------------------------------------------------------------------