TSTP Solution File: MGT024+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 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 22:24:46 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 40 ( 14 unt; 17 nHn; 40 RR)
% Number of literals : 104 ( 19 equ; 44 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| in_environment(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
cnf(2,axiom,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| greater(number_of_organizations(X,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_of_organizations) ).
cnf(3,axiom,
( ~ environment(X)
| ~ greater_or_equal(Y,equilibrium(X))
| ~ greater(equilibrium(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_equilibrium) ).
cnf(5,hypothesis,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater(number_of_organizations(X,Y),zero)
| greater(equilibrium(X),Y)
| constant(resources(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
cnf(7,hypothesis,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ constant(resources(X,Y))
| constant(number_of_organizations(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6) ).
cnf(9,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ constant(number_of_organizations(X,Y))
| growth_rate(first_movers,Y) = zero
| greater(growth_rate(first_movers,Y),zero)
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
cnf(10,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ constant(number_of_organizations(X,Y))
| growth_rate(first_movers,Y) = zero
| greater(zero,growth_rate(efficient_producers,Y))
| greater(growth_rate(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
cnf(12,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ constant(number_of_organizations(X,Y))
| growth_rate(efficient_producers,Y) = zero
| greater(growth_rate(first_movers,Y),zero)
| greater(growth_rate(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
cnf(13,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ constant(number_of_organizations(X,Y))
| growth_rate(efficient_producers,Y) = zero
| greater(growth_rate(first_movers,Y),zero)
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
cnf(14,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ constant(number_of_organizations(X,Y))
| growth_rate(efficient_producers,Y) = zero
| greater(zero,growth_rate(efficient_producers,Y))
| greater(growth_rate(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
cnf(15,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ constant(number_of_organizations(X,Y))
| growth_rate(efficient_producers,Y) = zero
| greater(zero,growth_rate(efficient_producers,Y))
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
cnf(16,negated_conjecture,
environment('SKOLEMAAAN1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
cnf(17,negated_conjecture,
subpopulations(first_movers,efficient_producers,'SKOLEMAAAN1','SKOLEMAAAN2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
cnf(18,negated_conjecture,
greater_or_equal('SKOLEMAAAN2',equilibrium('SKOLEMAAAN1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
cnf(19,negated_conjecture,
( growth_rate(first_movers,'SKOLEMAAAN2') != zero
| growth_rate(efficient_producers,'SKOLEMAAAN2') != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
cnf(20,negated_conjecture,
( ~ greater(growth_rate(first_movers,'SKOLEMAAAN2'),zero)
| ~ greater(zero,growth_rate(efficient_producers,'SKOLEMAAAN2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
cnf(21,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,'SKOLEMAAAN2'),zero)
| ~ greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
cnf(22,plain,
in_environment('SKOLEMAAAN1','SKOLEMAAAN2'),
inference('HYPERRESOLVE',[status(thm)],[1,16,17]) ).
cnf(23,plain,
~ greater(equilibrium('SKOLEMAAAN1'),'SKOLEMAAAN2'),
inference('UR-RESOLVE',[status(thm)],[3,16,18]) ).
cnf(24,plain,
greater(number_of_organizations('SKOLEMAAAN1','SKOLEMAAAN2'),zero),
inference('HYPERRESOLVE',[status(thm)],[2,16,17]) ).
cnf(25,plain,
constant(resources('SKOLEMAAAN1','SKOLEMAAAN2')),
inference('UR-RESOLVE',[status(thm)],[5,24,16,22,23]) ).
cnf(26,plain,
constant(number_of_organizations('SKOLEMAAAN1','SKOLEMAAAN2')),
inference('HYPERRESOLVE',[status(thm)],[7,25,16,22]) ).
cnf(27,plain,
( growth_rate(efficient_producers,'SKOLEMAAAN2') = zero
| greater(zero,growth_rate(efficient_producers,'SKOLEMAAAN2'))
| greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')) ),
inference('HYPERRESOLVE',[status(thm)],[15,26,16,17]) ).
cnf(28,plain,
( growth_rate(efficient_producers,'SKOLEMAAAN2') = zero
| greater(zero,growth_rate(efficient_producers,'SKOLEMAAAN2'))
| greater(growth_rate(efficient_producers,'SKOLEMAAAN2'),zero) ),
inference('HYPERRESOLVE',[status(thm)],[14,26,16,17]) ).
cnf(29,plain,
( growth_rate(efficient_producers,'SKOLEMAAAN2') = zero
| greater(growth_rate(first_movers,'SKOLEMAAAN2'),zero)
| greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')) ),
inference('HYPERRESOLVE',[status(thm)],[13,26,16,17]) ).
cnf(30,plain,
( growth_rate(efficient_producers,'SKOLEMAAAN2') = zero
| greater(growth_rate(first_movers,'SKOLEMAAAN2'),zero)
| greater(growth_rate(efficient_producers,'SKOLEMAAAN2'),zero) ),
inference('HYPERRESOLVE',[status(thm)],[12,26,16,17]) ).
cnf(32,plain,
( growth_rate(first_movers,'SKOLEMAAAN2') = zero
| greater(zero,growth_rate(efficient_producers,'SKOLEMAAAN2'))
| greater(growth_rate(efficient_producers,'SKOLEMAAAN2'),zero) ),
inference('HYPERRESOLVE',[status(thm)],[10,26,16,17]) ).
cnf(33,plain,
( growth_rate(first_movers,'SKOLEMAAAN2') = zero
| greater(growth_rate(first_movers,'SKOLEMAAAN2'),zero)
| greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')) ),
inference('HYPERRESOLVE',[status(thm)],[9,26,16,17]) ).
cnf(35,plain,
( growth_rate(efficient_producers,'SKOLEMAAAN2') = zero
| greater(zero,growth_rate(efficient_producers,'SKOLEMAAAN2')) ),
inference('HYPERRESOLVE',[status(thm)],[21,28,27]) ).
cnf(36,plain,
( growth_rate(efficient_producers,'SKOLEMAAAN2') = zero
| greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')) ),
inference('HYPERRESOLVE',[status(thm)],[20,29,35]) ).
cnf(37,plain,
( growth_rate(efficient_producers,'SKOLEMAAAN2') = zero
| greater(growth_rate(efficient_producers,'SKOLEMAAAN2'),zero) ),
inference('HYPERRESOLVE',[status(thm)],[20,30,35]) ).
cnf(38,plain,
growth_rate(efficient_producers,'SKOLEMAAAN2') = zero,
inference('HYPERRESOLVE',[status(thm)],[21,37,36]) ).
cnf(39,plain,
growth_rate(first_movers,'SKOLEMAAAN2') != zero,
inference('REWRITE',[status(thm)],[19,38,theory(equality)]) ).
cnf(40,plain,
( greater(growth_rate(first_movers,'SKOLEMAAAN2'),zero)
| greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')) ),
inference('REWRITE',[status(thm)],[33,39]) ).
cnf(41,plain,
( ~ greater(growth_rate(first_movers,'SKOLEMAAAN2'),zero)
| ~ greater(zero,zero) ),
inference('REWRITE',[status(thm)],[20,38,theory(equality)]) ).
cnf(42,plain,
( ~ greater(zero,zero)
| ~ greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')) ),
inference('REWRITE',[status(thm)],[21,38,theory(equality)]) ).
cnf(44,plain,
greater(zero,zero),
inference('REWRITE',[status(thm)],[32,39,38,theory(equality)]) ).
cnf(45,plain,
~ greater(growth_rate(first_movers,'SKOLEMAAAN2'),zero),
inference('REWRITE',[status(thm)],[41,44]) ).
cnf(46,plain,
greater(zero,growth_rate(first_movers,'SKOLEMAAAN2')),
inference('REWRITE',[status(thm)],[40,45]) ).
cnf(47,plain,
$false,
inference('REWRITE',[status(thm)],[42,46,44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 07:09:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T07:09:49
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-09T07:09:49
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 #||
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 55 formulas have been input or derived (from 34 formulas).
% 0.19/0.49 ; 47 (85%) were retained. Of these,
% 0.19/0.49 ; 18 (38%) were simplified or subsumed later,
% 0.19/0.49 ; 29 (62%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.002 9% Read assertion file (1 call)
% 0.19/0.49 ; 0.000 0% Assert (7 calls)
% 0.19/0.49 ; 0.004 17% Process new row (48 calls)
% 0.19/0.49 ; 0.000 0% Resolution (66 calls)
% 0.19/0.49 ; 0.000 0% Paramodulation (33 calls)
% 0.19/0.49 ; 0.000 0% Factoring (7 calls)
% 0.19/0.49 ; 0.001 4% Condensing (33 calls)
% 0.19/0.49 ; 0.002 9% Forward subsumption (33 calls)
% 0.19/0.49 ; 0.000 0% Backward subsumption (33 calls)
% 0.19/0.49 ; 0.000 0% Clause clause subsumption (41 calls)
% 0.19/0.49 ; 0.001 4% Forward simplification (48 calls)
% 0.19/0.49 ; 0.000 0% Backward simplification (47 calls)
% 0.19/0.49 ; 0.000 0% Ordering (64 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.013 57% Other
% 0.19/0.49 ; 0.023 Total
% 0.19/0.49 ; 0.026 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 41 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 15 entries (26 at peak, 33 added, 18 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 82 nodes (153 at peak, 186 added, 104 deleted).
% 0.19/0.49 ; Retrieved 15 possibly forward subsuming rows in 33 calls.
% 0.19/0.49 ; Retrieved 26 possibly backward subsumed rows in 33 calls.
% 0.19/0.49 ; Path-index has 44 entries (45 at peak, 49 added, 5 deleted).
% 0.19/0.49 ; Path-index has 125 nodes (125 at peak, 128 added, 3 deleted).
% 0.19/0.49 ; Trie-index has 44 entries (45 at peak, 49 added, 5 deleted).
% 0.19/0.49 ; Trie-index has 108 nodes (110 at peak, 115 added, 7 deleted).
% 0.19/0.49 ; Retrieved 5 generalization terms in 46 calls.
% 0.19/0.49 ; Retrieved 13 instance terms in 13 calls.
% 0.19/0.49 ; Retrieved 383 unifiable terms in 433 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.19/0.49 ; 4 with value 0
% 0.19/0.49 ; The agenda of input rows to give has 2 entries:
% 0.19/0.49 ; 2 with value 7
% 0.19/0.49 ; The agenda of rows to give has 3 entries:
% 0.19/0.49 ; 1 with value (4 8) 1 with value (4 11) 1 with value (4 14)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.026 seconds of real time
% 0.19/0.49 0.023232 seconds of user run time
% 0.19/0.49 0.003127 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 5,347,168 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T07:09:49
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------