TSTP Solution File: MGT028-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT028-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 22:24:47 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 11 unt; 7 nHn; 25 RR)
% Number of literals : 67 ( 0 equ; 38 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_first_movers_negative_growth_1,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,sk1(Y,X))
| greater(sk2(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).
cnf(mp_first_movers_negative_growth_2,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| greater_or_equal(sk1(Y,X),Y)
| greater(sk2(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).
cnf(mp_first_movers_negative_growth_3,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,sk1(Y,X))
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater_or_equal(Z,sk2(X))
| greater(zero,growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).
cnf(mp_first_movers_negative_growth_4,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| greater_or_equal(sk1(Y,X),Y)
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater_or_equal(Z,sk2(X))
| greater(zero,growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).
cnf(mp_first_movers_negative_growth_5,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| ~ greater(zero,growth_rate(first_movers,sk1(Y,X)))
| greater(sk2(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).
cnf(mp_first_movers_negative_growth_6,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| ~ greater(zero,growth_rate(first_movers,sk1(Y,X)))
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater_or_equal(Z,sk2(X))
| greater(zero,growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).
cnf(l11_7,hypothesis,
( ~ environment(X)
| ~ stable(X)
| in_environment(X,sk3(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l11_7) ).
cnf(l11_9,hypothesis,
( ~ environment(X)
| ~ stable(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,sk3(X))
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l11_9) ).
cnf(prove_l10_10,negated_conjecture,
environment(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_10) ).
cnf(prove_l10_11,negated_conjecture,
stable(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_11) ).
cnf(prove_l10_12,negated_conjecture,
( ~ greater(X,appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_12) ).
cnf(prove_l10_13,negated_conjecture,
( ~ greater(X,appear(efficient_producers,sk4))
| greater_or_equal(sk5(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_13) ).
cnf(prove_l10_14,negated_conjecture,
( ~ greater(X,appear(efficient_producers,sk4))
| ~ greater(zero,growth_rate(first_movers,sk5(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_14) ).
cnf(15,plain,
in_environment(sk4,sk3(sk4)),
inference('HYPERRESOLVE',[status(thm)],[l11_7,prove_l10_10,prove_l10_11]) ).
cnf(16,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_negative_growth_2,15,prove_l10_10,prove_l10_11]) ).
cnf(17,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_negative_growth_1,15,prove_l10_10,prove_l10_11]) ).
cnf(18,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference('HYPERRESOLVE',[status(thm)],[l11_9,17,prove_l10_10,prove_l10_11,16]) ).
cnf(20,plain,
greater(sk2(sk4),appear(efficient_producers,sk4)),
inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_negative_growth_5,18,prove_l10_10,prove_l10_11,15]) ).
cnf(21,plain,
greater_or_equal(sk5(sk2(sk4)),sk2(sk4)),
inference('HYPERRESOLVE',[status(thm)],[prove_l10_13,20]) ).
cnf(22,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference('HYPERRESOLVE',[status(thm)],[prove_l10_12,20]) ).
cnf(23,plain,
~ greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))),
inference('UR-RESOLVE',[status(thm)],[prove_l10_14,20]) ).
cnf(24,plain,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_negative_growth_4,22,prove_l10_10,prove_l10_11,15,21]),23]) ).
cnf(25,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_negative_growth_3,22,prove_l10_10,prove_l10_11,15,21]),23]) ).
cnf(27,plain,
~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference('UR-RESOLVE',[status(thm)],[mp_first_movers_negative_growth_6,23,prove_l10_10,prove_l10_11,15,22,21]) ).
cnf(28,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[l11_9,25,prove_l10_10,prove_l10_11,24]),27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT028-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.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 10:58:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T10:58:55
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-09T10:58:55
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 36 formulas have been input or derived (from 26 formulas).
% 0.19/0.51 ; 28 (78%) were retained. Of these,
% 0.19/0.51 ; 4 (14%) were simplified or subsumed later,
% 0.19/0.51 ; 24 (86%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.004 11% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (14 calls)
% 0.19/0.51 ; 0.003 8% Process new row (30 calls)
% 0.19/0.51 ; 0.002 6% Resolution (50 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (25 calls)
% 0.19/0.51 ; 0.000 0% Factoring (3 calls)
% 0.19/0.51 ; 0.000 0% Condensing (16 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (16 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (16 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (30 calls)
% 0.19/0.51 ; 0.001 3% Backward simplification (28 calls)
% 0.19/0.51 ; 0.001 3% Ordering (4 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.023 64% Other
% 0.19/0.51 ; 0.036 Total
% 0.19/0.51 ; 0.041 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 49 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 12 entries (16 at peak, 16 added, 4 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 119 nodes (173 at peak, 173 added, 54 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 16 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 16 calls.
% 0.19/0.51 ; Path-index has 51 entries (51 at peak, 58 added, 7 deleted).
% 0.19/0.51 ; Path-index has 148 nodes (148 at peak, 161 added, 13 deleted).
% 0.19/0.51 ; Trie-index has 51 entries (51 at peak, 58 added, 7 deleted).
% 0.19/0.52 ; Trie-index has 127 nodes (127 at peak, 154 added, 27 deleted).
% 0.19/0.52 ; Retrieved 5 generalization terms in 10 calls.
% 0.19/0.52 ; Retrieved 11 instance terms in 11 calls.
% 0.19/0.52 ; Retrieved 690 unifiable terms in 563 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 3 entries:
% 0.19/0.52 ; 3 with value 19
% 0.19/0.52 ; The agenda of rows to give has 1 entry:
% 0.19/0.52 ; 1 with value (4 18)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.041 seconds of real time
% 0.19/0.52 0.034707 seconds of user run time
% 0.19/0.52 0.005942 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,979,728 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T10:58:55
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------