TSTP Solution File: MGT032-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 22:25:09 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 0 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_1,axiom,
( ~ environment(X)
| ~ subpopulations(Y,Z,X,U)
| ~ greater(growth_rate(Z,U),growth_rate(Y,U))
| selection_favors(Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_1) ).
cnf(l1_2,hypothesis,
( ~ environment(X)
| ~ stable(X)
| in_environment(X,sk1(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_2) ).
cnf(l1_3,hypothesis,
( ~ environment(X)
| ~ stable(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,sk1(X))
| greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_3) ).
cnf(prove_t1_4,negated_conjecture,
environment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_4) ).
cnf(prove_t1_5,negated_conjecture,
stable(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_5) ).
cnf(prove_t1_6,negated_conjecture,
( ~ in_environment(sk2,X)
| subpopulations(first_movers,efficient_producers,sk2,sk3(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_6) ).
cnf(prove_t1_7,negated_conjecture,
( ~ in_environment(sk2,X)
| greater_or_equal(sk3(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_7) ).
cnf(prove_t1_8,negated_conjecture,
( ~ in_environment(sk2,X)
| ~ selection_favors(efficient_producers,first_movers,sk3(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_8) ).
cnf(9,plain,
in_environment(sk2,sk1(sk2)),
inference('HYPERRESOLVE',[status(thm)],[l1_2,prove_t1_4,prove_t1_5]) ).
cnf(10,plain,
greater_or_equal(sk3(sk1(sk2)),sk1(sk2)),
inference('HYPERRESOLVE',[status(thm)],[prove_t1_7,9]) ).
cnf(11,plain,
~ selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))),
inference('UR-RESOLVE',[status(thm)],[prove_t1_8,9]) ).
cnf(12,plain,
subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))),
inference('HYPERRESOLVE',[status(thm)],[prove_t1_6,9]) ).
cnf(13,plain,
greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))),
inference('HYPERRESOLVE',[status(thm)],[l1_3,12,prove_t1_4,prove_t1_5,10]) ).
cnf(14,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[mp1_high_growth_rates_1,12,prove_t1_4,11]),13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 08:39:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T08:39:04
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-09T08:39:04
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 #||
% 0.20/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 % SZS output start Refutation
% See solution above
% 0.20/0.48 ||#
% 0.20/0.48
% 0.20/0.48 ; Summary of computation:
% 0.20/0.48 ; 18 formulas have been input or derived (from 13 formulas).
% 0.20/0.48 ; 14 (78%) were retained. Of these,
% 0.20/0.48 ; 14 (100%) are still being kept.
% 0.20/0.48 ;
% 0.20/0.48 ; Run time in seconds excluding printing time:
% 0.20/0.48 ; 0.001 8% Read assertion file (1 call)
% 0.20/0.48 ; 0.000 0% Assert (8 calls)
% 0.20/0.48 ; 0.000 0% Process new row (15 calls)
% 0.20/0.48 ; 0.001 8% Resolution (24 calls)
% 0.20/0.48 ; 0.000 0% Paramodulation (12 calls)
% 0.20/0.48 ; 0.000 0% Condensing (6 calls)
% 0.20/0.48 ; 0.001 8% Forward subsumption (6 calls)
% 0.20/0.48 ; 0.000 0% Backward subsumption (6 calls)
% 0.20/0.48 ; 0.000 0% Forward simplification (15 calls)
% 0.20/0.48 ; 0.000 0% Backward simplification (14 calls)
% 0.20/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.48 ; 0.000 0% Purity testing (1 call)
% 0.20/0.48 ; 0.010 77% Other
% 0.20/0.48 ; 0.013 Total
% 0.20/0.48 ; 0.016 Real time
% 0.20/0.48 ;
% 0.20/0.48 ; Term-hash-array has 30 terms in all.
% 0.20/0.48 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.48 ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.20/0.48 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.20/0.48 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.48 ; Path-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.20/0.48 ; Path-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.20/0.48 ; Trie-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.20/0.48 ; Trie-index has 93 nodes (93 at peak, 93 added, 0 deleted).
% 0.20/0.48 ; Retrieved 2 generalization terms in 2 calls.
% 0.20/0.48 ; Retrieved 7 instance terms in 7 calls.
% 0.20/0.48 ; Retrieved 106 unifiable terms in 116 calls.
% 0.20/0.48 ;
% 0.20/0.48 ; The agenda of rows to give has 1 entry:
% 0.20/0.48 ; 1 with value (4 18)
% 0.20/0.48 Evaluation took:
% 0.20/0.48 0.016 seconds of real time
% 0.20/0.48 0.010166 seconds of user run time
% 0.20/0.48 0.005158 seconds of system run time
% 0.20/0.48 0 calls to %EVAL
% 0.20/0.48 0 page faults and
% 0.20/0.48 2,247,160 bytes consed.
% 0.20/0.48 :PROOF-FOUND
% 0.20/0.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T08:39:04
% 0.20/0.48 :PROOF-FOUND
% 0.20/0.48 *
%------------------------------------------------------------------------------