TSTP Solution File: MGT026+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT026+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : 16
% Number of leaves : 16
% Syntax : Number of clauses : 37 ( 16 unt; 9 nHn; 37 RR)
% Number of literals : 80 ( 16 equ; 34 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(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) ).
cnf(2,axiom,
( ~ environment(X)
| ~ subpopulation(Y,X,Z)
| ~ subpopulation(U,X,Z)
| ~ greater(cardinality_at_time(Y,Z),zero)
| cardinality_at_time(U,Z) != zero
| selection_favors(Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members) ).
cnf(3,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(4,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| greater_or_equal(cardinality_at_time(first_movers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist) ).
cnf(5,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulation(first_movers,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
cnf(6,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulation(efficient_producers,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
cnf(7,axiom,
( ~ environment(X)
| greater_or_equal(critical_point(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP) ).
cnf(8,axiom,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
cnf(9,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(10,axiom,
( greater_or_equal(X,Y)
| ~ greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(13,hypothesis,
( ~ environment(X)
| Y != critical_point(X)
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater(Z,Y)
| greater(growth_rate(efficient_producers,Z),growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(14,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(15,negated_conjecture,
environment('SKOLEMAAAU1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8) ).
cnf(16,negated_conjecture,
in_environment('SKOLEMAAAU1','SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8) ).
cnf(17,negated_conjecture,
greater('SKOLEMAAAU2',critical_point('SKOLEMAAAU1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8) ).
cnf(18,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,'SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8) ).
cnf(19,plain,
greater_or_equal('SKOLEMAAAU2',critical_point('SKOLEMAAAU1')),
inference('HYPERRESOLVE',[status(thm)],[10,17]) ).
cnf(21,plain,
greater_or_equal(critical_point('SKOLEMAAAU1'),appear(efficient_producers,'SKOLEMAAAU1')),
inference('HYPERRESOLVE',[status(thm)],[7,15]) ).
cnf(22,plain,
subpopulation(first_movers,'SKOLEMAAAU1','SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[5,15,16]) ).
cnf(23,plain,
subpopulation(efficient_producers,'SKOLEMAAAU1','SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[6,15,16]) ).
cnf(24,plain,
greater_or_equal(cardinality_at_time(first_movers,'SKOLEMAAAU2'),zero),
inference('HYPERRESOLVE',[status(thm)],[4,15,16]) ).
cnf(26,plain,
( greater(cardinality_at_time(first_movers,'SKOLEMAAAU2'),zero)
| cardinality_at_time(first_movers,'SKOLEMAAAU2') = zero ),
inference('HYPERRESOLVE',[status(thm)],[9,24]) ).
cnf(27,plain,
( greater(critical_point('SKOLEMAAAU1'),appear(efficient_producers,'SKOLEMAAAU1'))
| critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1') ),
inference('HYPERRESOLVE',[status(thm)],[9,21]) ).
cnf(28,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| greater('SKOLEMAAAU2',appear(efficient_producers,'SKOLEMAAAU1')) ),
inference('HYPERRESOLVE',[status(thm)],[8,27,17]) ).
cnf(29,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| greater_or_equal('SKOLEMAAAU2',appear(efficient_producers,'SKOLEMAAAU1')) ),
inference('HYPERRESOLVE',[status(thm)],[10,28]) ).
cnf(30,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| greater(cardinality_at_time(efficient_producers,'SKOLEMAAAU2'),zero) ),
inference('HYPERRESOLVE',[status(thm)],[14,29,15,16]) ).
cnf(32,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| cardinality_at_time(first_movers,'SKOLEMAAAU2') = zero
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAU1','SKOLEMAAAU2') ),
inference('HYPERRESOLVE',[status(thm)],[3,30,15,16,26]) ).
cnf(33,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| cardinality_at_time(first_movers,'SKOLEMAAAU2') = zero
| greater(growth_rate(efficient_producers,'SKOLEMAAAU2'),growth_rate(first_movers,'SKOLEMAAAU2')) ),
inference('HYPERRESOLVE',[status(thm)],[13,32,15,17,theory(equality)]) ).
cnf(34,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| cardinality_at_time(first_movers,'SKOLEMAAAU2') = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,33,15,32]),18]) ).
cnf(35,plain,
critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,34,15,23,22,30]),18]) ).
cnf(36,plain,
( ~ in_environment('SKOLEMAAAU1',X)
| ~ greater_or_equal(X,critical_point('SKOLEMAAAU1'))
| greater(cardinality_at_time(efficient_producers,X),zero) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,35,theory(equality)]),15]) ).
cnf(37,plain,
greater(cardinality_at_time(efficient_producers,'SKOLEMAAAU2'),zero),
inference('HYPERRESOLVE',[status(thm)],[36,16,19]) ).
cnf(39,plain,
cardinality_at_time(first_movers,'SKOLEMAAAU2') != zero,
inference('UR-RESOLVE',[status(thm)],[2,37,15,23,22,18]) ).
cnf(40,plain,
greater(cardinality_at_time(first_movers,'SKOLEMAAAU2'),zero),
inference('REWRITE',[status(thm)],[26,39]) ).
cnf(41,plain,
subpopulations(first_movers,efficient_producers,'SKOLEMAAAU1','SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[3,40,15,16,37]) ).
cnf(42,plain,
greater(growth_rate(efficient_producers,'SKOLEMAAAU2'),growth_rate(first_movers,'SKOLEMAAAU2')),
inference('HYPERRESOLVE',[status(thm)],[13,41,15,17,theory(equality)]) ).
cnf(43,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,41,15,18]),42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : MGT026+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 12:44:38 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 2022-06-09T12:44:38
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-09T12:44:38
% 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
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 85 formulas have been input or derived (from 40 formulas).
% 0.18/0.51 ; 43 (51%) were retained. Of these,
% 0.18/0.51 ; 10 (23%) were simplified or subsumed later,
% 0.18/0.51 ; 33 (77%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.004 10% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (11 calls)
% 0.18/0.51 ; 0.003 7% Process new row (75 calls)
% 0.18/0.51 ; 0.006 15% Resolution (78 calls)
% 0.18/0.51 ; 0.001 2% Paramodulation (39 calls)
% 0.18/0.51 ; 0.000 0% Factoring (9 calls)
% 0.18/0.51 ; 0.000 0% Condensing (26 calls)
% 0.18/0.51 ; 0.002 5% Forward subsumption (26 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (24 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (5 calls)
% 0.18/0.51 ; 0.001 2% Forward simplification (66 calls)
% 0.18/0.51 ; 0.000 0% Backward simplification (43 calls)
% 0.18/0.51 ; 0.000 0% Ordering (56 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.023 56% Other
% 0.18/0.51 ; 0.041 Total
% 0.18/0.51 ; 0.046 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 73 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 15 entries (22 at peak, 24 added, 9 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 88 nodes (184 at peak, 209 added, 121 deleted).
% 0.18/0.51 ; Retrieved 3 possibly forward subsuming rows in 26 calls.
% 0.18/0.51 ; Retrieved 2 possibly backward subsumed rows in 24 calls.
% 0.18/0.51 ; Path-index has 74 entries (74 at peak, 86 added, 12 deleted).
% 0.18/0.51 ; Path-index has 157 nodes (162 at peak, 168 added, 11 deleted).
% 0.18/0.51 ; Trie-index has 74 entries (74 at peak, 86 added, 12 deleted).
% 0.18/0.51 ; Trie-index has 159 nodes (171 at peak, 190 added, 31 deleted).
% 0.18/0.51 ; Retrieved 35 generalization terms in 53 calls.
% 0.18/0.51 ; Retrieved 23 instance terms in 18 calls.
% 0.18/0.51 ; Retrieved 969 unifiable terms in 543 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to give has 3 entries:
% 0.18/0.51 ; 2 with value (4 19) 1 with value (4 22)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.046 seconds of real time
% 0.18/0.51 0.041224 seconds of user run time
% 0.18/0.51 0.005021 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 4,863,800 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T12:44:38
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------