TSTP Solution File: MGT027+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : 10
% Number of leaves : 15
% Syntax : Number of clauses : 34 ( 16 unt; 8 nHn; 34 RR)
% Number of literals : 76 ( 7 equ; 39 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 : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| greater(cardinality_at_time(first_movers,'SKOLEMAAAU1'(Y)),zero)
| contracts_from(Y,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from) ).
cnf(2,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| greater_or_equal('SKOLEMAAAU1'(Y),Y)
| contracts_from(Y,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from) ).
cnf(3,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| ~ greater(zero,growth_rate(first_movers,'SKOLEMAAAU1'(Y)))
| contracts_from(Y,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from) ).
cnf(4,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater(cardinality_at_time(first_movers,Y),zero)
| ~ greater(cardinality_at_time(efficient_producers,Y),zero)
| subpopulations(first_movers,efficient_producers,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep) ).
cnf(5,axiom,
( ~ environment(X)
| ~ stable(X)
| ~ in_environment(X,Y)
| ~ greater(Z,Y)
| in_environment(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_long_stable_environments) ).
cnf(6,axiom,
( ~ environment(X)
| ~ stable(X)
| in_environment(X,appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_EP_in_stable_environments) ).
cnf(7,axiom,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
cnf(8,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(9,axiom,
( greater_or_equal(X,Y)
| ~ greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(11,hypothesis,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater_or_equal(Y,appear(efficient_producers,X))
| greater(cardinality_at_time(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6) ).
cnf(12,hypothesis,
( ~ environment(X)
| ~ stable(X)
| greater('SKOLEMAAAU2'(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10) ).
cnf(13,hypothesis,
( ~ environment(X)
| ~ stable(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,'SKOLEMAAAU2'(X))
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10) ).
cnf(14,negated_conjecture,
environment('SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9) ).
cnf(15,negated_conjecture,
stable('SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9) ).
cnf(16,negated_conjecture,
( ~ greater(X,appear(efficient_producers,'SKOLEMAAAU3'))
| ~ contracts_from(X,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9) ).
cnf(18,plain,
in_environment('SKOLEMAAAU3',appear(efficient_producers,'SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[6,14,15]) ).
cnf(19,plain,
greater('SKOLEMAAAU2'('SKOLEMAAAU3'),appear(efficient_producers,'SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[12,14,15]) ).
cnf(23,plain,
in_environment('SKOLEMAAAU3','SKOLEMAAAU2'('SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[5,19,14,15,18]) ).
cnf(24,plain,
~ contracts_from('SKOLEMAAAU2'('SKOLEMAAAU3'),first_movers),
inference('UR-RESOLVE',[status(thm)],[16,19]) ).
cnf(25,plain,
greater_or_equal('SKOLEMAAAU2'('SKOLEMAAAU3'),appear(efficient_producers,'SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[9,19]) ).
cnf(26,plain,
greater_or_equal('SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')),'SKOLEMAAAU2'('SKOLEMAAAU3')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,23,14,15]),24]) ).
cnf(27,plain,
greater(cardinality_at_time(first_movers,'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3'))),zero),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,23,14,15]),24]) ).
cnf(28,plain,
~ greater(zero,growth_rate(first_movers,'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')))),
inference('UR-RESOLVE',[status(thm)],[3,24,14,15,23]) ).
cnf(29,plain,
greater(cardinality_at_time(efficient_producers,'SKOLEMAAAU2'('SKOLEMAAAU3')),zero),
inference('HYPERRESOLVE',[status(thm)],[11,25,14,23]) ).
cnf(31,plain,
( greater('SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')),'SKOLEMAAAU2'('SKOLEMAAAU3'))
| 'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')) = 'SKOLEMAAAU2'('SKOLEMAAAU3') ),
inference('HYPERRESOLVE',[status(thm)],[8,26]) ).
cnf(34,plain,
~ subpopulations(first_movers,efficient_producers,'SKOLEMAAAU3','SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3'))),
inference('UR-RESOLVE',[status(thm)],[13,28,14,15,26]) ).
cnf(37,plain,
( 'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')) = 'SKOLEMAAAU2'('SKOLEMAAAU3')
| in_environment('SKOLEMAAAU3','SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3'))) ),
inference('HYPERRESOLVE',[status(thm)],[5,31,14,15,23]) ).
cnf(38,plain,
( 'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')) = 'SKOLEMAAAU2'('SKOLEMAAAU3')
| greater('SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')),appear(efficient_producers,'SKOLEMAAAU3')) ),
inference('HYPERRESOLVE',[status(thm)],[7,31,19]) ).
cnf(41,plain,
( 'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')) = 'SKOLEMAAAU2'('SKOLEMAAAU3')
| greater_or_equal('SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')),appear(efficient_producers,'SKOLEMAAAU3')) ),
inference('HYPERRESOLVE',[status(thm)],[9,38]) ).
cnf(42,plain,
( 'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')) = 'SKOLEMAAAU2'('SKOLEMAAAU3')
| greater(cardinality_at_time(efficient_producers,'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[11,41,14,37]) ).
cnf(43,plain,
'SKOLEMAAAU1'('SKOLEMAAAU2'('SKOLEMAAAU3')) = 'SKOLEMAAAU2'('SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,42,14,37,27]),34]) ).
cnf(44,plain,
greater(cardinality_at_time(first_movers,'SKOLEMAAAU2'('SKOLEMAAAU3')),zero),
inference('REWRITE',[status(thm)],[27,43,theory(equality)]) ).
cnf(47,plain,
~ subpopulations(first_movers,efficient_producers,'SKOLEMAAAU3','SKOLEMAAAU2'('SKOLEMAAAU3')),
inference('REWRITE',[status(thm)],[34,43,theory(equality)]) ).
cnf(48,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,44,14,23,29]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 11:41:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (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 2022-06-09T11:41:08
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-09T11:41:08
% 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 ; 81 formulas have been input or derived (from 41 formulas).
% 0.18/0.50 ; 48 (59%) were retained. Of these,
% 0.18/0.50 ; 12 (25%) were simplified or subsumed later,
% 0.18/0.50 ; 36 (75%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.003 7% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 2% Assert (9 calls)
% 0.18/0.50 ; 0.002 5% Process new row (68 calls)
% 0.18/0.50 ; 0.008 20% Resolution (80 calls)
% 0.18/0.50 ; 0.002 5% Paramodulation (40 calls)
% 0.18/0.50 ; 0.000 0% Factoring (8 calls)
% 0.18/0.50 ; 0.002 5% Condensing (28 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (28 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (25 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.18/0.50 ; 0.000 0% Forward simplification (67 calls)
% 0.18/0.50 ; 0.001 2% Backward simplification (48 calls)
% 0.18/0.50 ; 0.000 0% Ordering (51 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 54% Other
% 0.18/0.50 ; 0.041 Total
% 0.18/0.50 ; 0.045 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 82 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 18 entries (25 at peak, 25 added, 7 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 150 nodes (230 at peak, 230 added, 80 deleted).
% 0.18/0.50 ; Retrieved 5 possibly forward subsuming rows in 28 calls.
% 0.18/0.50 ; Retrieved 0 possibly backward subsumed rows in 25 calls.
% 0.18/0.50 ; Path-index has 68 entries (80 at peak, 86 added, 18 deleted).
% 0.18/0.50 ; Path-index has 229 nodes (240 at peak, 247 added, 18 deleted).
% 0.18/0.50 ; Trie-index has 68 entries (80 at peak, 86 added, 18 deleted).
% 0.18/0.50 ; Trie-index has 187 nodes (232 at peak, 247 added, 60 deleted).
% 0.18/0.50 ; Retrieved 32 generalization terms in 57 calls.
% 0.18/0.50 ; Retrieved 26 instance terms in 22 calls.
% 0.18/0.50 ; Retrieved 1,082 unifiable terms in 667 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 1 entry:
% 0.18/0.50 ; 1 with value 13
% 0.18/0.50 ; The agenda of rows to give has 5 entries:
% 0.18/0.50 ; 2 with value (4 12) 1 with value (4 17) 1 with value (4 32)
% 0.18/0.50 ; 1 with value (4 13)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.046 seconds of real time
% 0.18/0.50 0.041614 seconds of user run time
% 0.18/0.50 0.004485 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 4,896,792 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T11:41:08
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------