TSTP Solution File: MGT028+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% 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(1,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,'SKOLEMAAAV1'(X,Y))
| greater('SKOLEMAAAV2'(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
cnf(2,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,'SKOLEMAAAV1'(X,Y))
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater_or_equal(Z,'SKOLEMAAAV2'(X))
| greater(zero,growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
cnf(3,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| greater_or_equal('SKOLEMAAAV1'(X,Y),Y)
| greater('SKOLEMAAAV2'(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
cnf(4,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| greater_or_equal('SKOLEMAAAV1'(X,Y),Y)
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater_or_equal(Z,'SKOLEMAAAV2'(X))
| greater(zero,growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
cnf(5,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| ~ greater(zero,growth_rate(first_movers,'SKOLEMAAAV1'(X,Y)))
| greater('SKOLEMAAAV2'(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
cnf(6,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| ~ greater(zero,growth_rate(first_movers,'SKOLEMAAAV1'(X,Y)))
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater_or_equal(Z,'SKOLEMAAAV2'(X))
| greater(zero,growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
cnf(7,hypothesis,
( ~ environment(X)
| ~ stable(X)
| in_environment(X,'SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11) ).
cnf(9,hypothesis,
( ~ environment(X)
| ~ stable(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,'SKOLEMAAAV3'(X))
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11) ).
cnf(10,negated_conjecture,
environment('SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10) ).
cnf(11,negated_conjecture,
stable('SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10) ).
cnf(12,negated_conjecture,
( ~ greater(X,appear(efficient_producers,'SKOLEMAAAV4'))
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV4','SKOLEMAAAV5'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10) ).
cnf(13,negated_conjecture,
( ~ greater(X,appear(efficient_producers,'SKOLEMAAAV4'))
| greater_or_equal('SKOLEMAAAV5'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10) ).
cnf(14,negated_conjecture,
( ~ greater(X,appear(efficient_producers,'SKOLEMAAAV4'))
| ~ greater(zero,growth_rate(first_movers,'SKOLEMAAAV5'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10) ).
cnf(15,plain,
in_environment('SKOLEMAAAV4','SKOLEMAAAV3'('SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[7,10,11]) ).
cnf(16,plain,
( greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV3'('SKOLEMAAAV4')),'SKOLEMAAAV3'('SKOLEMAAAV4'))
| greater('SKOLEMAAAV2'('SKOLEMAAAV4'),appear(efficient_producers,'SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[3,15,10,11]) ).
cnf(17,plain,
( subpopulations(first_movers,efficient_producers,'SKOLEMAAAV4','SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV3'('SKOLEMAAAV4')))
| greater('SKOLEMAAAV2'('SKOLEMAAAV4'),appear(efficient_producers,'SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[1,15,10,11]) ).
cnf(18,plain,
( greater('SKOLEMAAAV2'('SKOLEMAAAV4'),appear(efficient_producers,'SKOLEMAAAV4'))
| greater(zero,growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV3'('SKOLEMAAAV4')))) ),
inference('HYPERRESOLVE',[status(thm)],[9,17,10,11,16]) ).
cnf(20,plain,
greater('SKOLEMAAAV2'('SKOLEMAAAV4'),appear(efficient_producers,'SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[5,18,10,11,15]) ).
cnf(21,plain,
greater_or_equal('SKOLEMAAAV5'('SKOLEMAAAV2'('SKOLEMAAAV4')),'SKOLEMAAAV2'('SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[13,20]) ).
cnf(22,plain,
subpopulations(first_movers,efficient_producers,'SKOLEMAAAV4','SKOLEMAAAV5'('SKOLEMAAAV2'('SKOLEMAAAV4'))),
inference('HYPERRESOLVE',[status(thm)],[12,20]) ).
cnf(23,plain,
~ greater(zero,growth_rate(first_movers,'SKOLEMAAAV5'('SKOLEMAAAV2'('SKOLEMAAAV4')))),
inference('UR-RESOLVE',[status(thm)],[14,20]) ).
cnf(24,plain,
greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV3'('SKOLEMAAAV4')),'SKOLEMAAAV3'('SKOLEMAAAV4')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,22,10,11,15,21]),23]) ).
cnf(25,plain,
subpopulations(first_movers,efficient_producers,'SKOLEMAAAV4','SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV3'('SKOLEMAAAV4'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,22,10,11,15,21]),23]) ).
cnf(27,plain,
~ greater(zero,growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV3'('SKOLEMAAAV4')))),
inference('UR-RESOLVE',[status(thm)],[6,23,10,11,15,22,21]) ).
cnf(28,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,25,10,11,24]),27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n022.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 : 600
% 0.12/0.33 % DateTime : Thu Jun 9 09:35:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:35:34
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-09T09:35:34
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 36 formulas have been input or derived (from 26 formulas).
% 0.18/0.50 ; 28 (78%) were retained. Of these,
% 0.18/0.50 ; 4 (14%) were simplified or subsumed later,
% 0.18/0.50 ; 24 (86%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 3% Assert (3 calls)
% 0.18/0.50 ; 0.003 9% Process new row (30 calls)
% 0.18/0.50 ; 0.002 6% Resolution (50 calls)
% 0.18/0.50 ; 0.001 3% Paramodulation (25 calls)
% 0.18/0.50 ; 0.000 0% Factoring (3 calls)
% 0.18/0.50 ; 0.001 3% Condensing (16 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (16 calls)
% 0.18/0.50 ; 0.001 3% Backward subsumption (16 calls)
% 0.18/0.50 ; 0.001 3% Forward simplification (30 calls)
% 0.18/0.50 ; 0.000 0% Backward simplification (28 calls)
% 0.18/0.50 ; 0.000 0% Ordering (4 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.022 65% Other
% 0.18/0.50 ; 0.034 Total
% 0.18/0.50 ; 0.037 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 49 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 12 entries (16 at peak, 16 added, 4 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 124 nodes (182 at peak, 182 added, 58 deleted).
% 0.18/0.50 ; Retrieved 0 possibly forward subsuming rows in 16 calls.
% 0.18/0.50 ; Retrieved 0 possibly backward subsumed rows in 16 calls.
% 0.18/0.50 ; Path-index has 51 entries (51 at peak, 58 added, 7 deleted).
% 0.18/0.50 ; Path-index has 148 nodes (148 at peak, 161 added, 13 deleted).
% 0.18/0.50 ; Trie-index has 51 entries (51 at peak, 58 added, 7 deleted).
% 0.18/0.50 ; Trie-index has 127 nodes (127 at peak, 154 added, 27 deleted).
% 0.18/0.50 ; Retrieved 5 generalization terms in 10 calls.
% 0.18/0.50 ; Retrieved 11 instance terms in 11 calls.
% 0.18/0.50 ; Retrieved 690 unifiable terms in 563 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 3 entries:
% 0.18/0.50 ; 3 with value 19
% 0.18/0.50 ; The agenda of rows to give has 1 entry:
% 0.18/0.50 ; 1 with value (4 18)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.038 seconds of real time
% 0.18/0.50 0.029755 seconds of user run time
% 0.18/0.50 0.007881 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 4,204,624 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:35:34
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------