TSTP Solution File: MGT058-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT058-1 : TPTP v8.1.0. Released v2.4.0.
% 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 22:25:42 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 11 unt; 10 nHn; 27 RR)
% Number of literals : 48 ( 15 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_2,axiom,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(definition_smaller_or_equal_3,axiom,
( X != Y
| smaller_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(definition_greater_or_equal_4,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).
cnf(definition_smaller_8,axiom,
( ~ greater(X,Y)
| smaller(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(definition_3_30,axiom,
( ~ fragile_position(X)
| ~ smaller_or_equal(age(X,Y),sigma)
| positional_advantage(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_30) ).
cnf(definition_4_36,axiom,
( ~ robust_position(X)
| ~ smaller_or_equal(age(X,Y),tau)
| ~ positional_advantage(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_36) ).
cnf(lemma_10_43,negated_conjecture,
age(sk3,sk4) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_43) ).
cnf(lemma_10_44,negated_conjecture,
greater_or_equal(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_44) ).
cnf(lemma_10_45,negated_conjecture,
greater_or_equal(tau,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_45) ).
cnf(lemma_10_46,negated_conjecture,
fragile_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_46) ).
cnf(lemma_10_47,negated_conjecture,
robust_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_47) ).
cnf(27,plain,
smaller_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_3,theory(equality)]) ).
cnf(29,plain,
( greater(sigma,zero)
| sigma = zero ),
inference('HYPERRESOLVE',[status(thm)],[definition_greater_or_equal_4,lemma_10_44]) ).
cnf(30,plain,
( greater(tau,zero)
| tau = zero ),
inference('HYPERRESOLVE',[status(thm)],[definition_greater_or_equal_4,lemma_10_45]) ).
cnf(33,plain,
( ~ smaller_or_equal(zero,sigma)
| positional_advantage(sk3,sk4) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[definition_3_30,lemma_10_43,theory(equality)]),lemma_10_46]) ).
cnf(35,plain,
( ~ smaller_or_equal(zero,tau)
| ~ positional_advantage(sk3,sk4) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[definition_4_36,lemma_10_43,theory(equality)]),lemma_10_47]) ).
cnf(38,plain,
( sigma = zero
| smaller(zero,sigma) ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_8,29]) ).
cnf(39,plain,
( tau = zero
| smaller(zero,tau) ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_8,30]) ).
cnf(40,plain,
( sigma = zero
| smaller_or_equal(zero,sigma) ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_2,38]) ).
cnf(41,plain,
( tau = zero
| smaller_or_equal(zero,tau) ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_2,39]) ).
cnf(42,plain,
( sigma = zero
| positional_advantage(sk3,sk4) ),
inference('HYPERRESOLVE',[status(thm)],[33,40]) ).
cnf(43,plain,
( sigma = zero
| tau = zero ),
inference('HYPERRESOLVE',[status(thm)],[35,42,41]) ).
cnf(54,plain,
( sigma = zero
| smaller_or_equal(zero,tau) ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_3,43]) ).
cnf(60,plain,
sigma = zero,
inference('HYPERRESOLVE',[status(thm)],[35,54,42]) ).
cnf(64,plain,
positional_advantage(sk3,sk4),
inference('REWRITE',[status(thm)],[33,27,60,theory(equality)]) ).
cnf(66,plain,
~ smaller_or_equal(sigma,tau),
inference('REWRITE',[status(thm)],[35,64,60,theory(equality)]) ).
cnf(68,plain,
sigma = tau,
inference('REWRITE',[status(thm)],[41,66,60,theory(equality)]) ).
cnf(75,plain,
$false,
inference('REWRITE',[status(thm)],[66,27,68,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT058-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 12:02:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:02:23
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-09T12:02:23
% 0.21/0.51 WARNING:
% 0.21/0.51 |organization| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 #||
% 0.21/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.55 ||#
% 0.21/0.55
% 0.21/0.55 ; Summary of computation:
% 0.21/0.55 ; 184 formulas have been input or derived (from 47 formulas).
% 0.21/0.55 ; 75 (41%) were retained. Of these,
% 0.21/0.55 ; 37 (49%) were simplified or subsumed later,
% 0.21/0.55 ; 38 (51%) are still being kept.
% 0.21/0.55 ;
% 0.21/0.55 ; Run time in seconds excluding printing time:
% 0.21/0.55 ; 0.005 9% Read assertion file (1 call)
% 0.21/0.55 ; 0.001 2% Assert (29 calls)
% 0.21/0.55 ; 0.008 15% Process new row (157 calls)
% 0.21/0.55 ; 0.005 9% Resolution (92 calls)
% 0.21/0.55 ; 0.000 0% Paramodulation (46 calls)
% 0.21/0.55 ; 0.000 0% Factoring (19 calls)
% 0.21/0.55 ; 0.003 5% Condensing (107 calls)
% 0.21/0.55 ; 0.002 4% Forward subsumption (107 calls)
% 0.21/0.55 ; 0.000 0% Backward subsumption (60 calls)
% 0.21/0.55 ; 0.001 2% Clause clause subsumption (58 calls)
% 0.21/0.55 ; 0.002 4% Forward simplification (156 calls)
% 0.21/0.55 ; 0.002 4% Backward simplification (75 calls)
% 0.21/0.55 ; 0.001 2% Ordering (270 calls)
% 0.21/0.55 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.55 ; 0.001 2% Purity testing (1 call)
% 0.21/0.55 ; 0.023 42% Other
% 0.21/0.55 ; 0.055 Total
% 0.21/0.55 ; 0.058 Real time
% 0.21/0.55 ;
% 0.21/0.55 ; Term-hash-array has 78 terms in all.
% 0.21/0.55 ; Feature-vector-row-index has 28 entries (52 at peak, 60 added, 32 deleted).
% 0.21/0.55 ; Feature-vector-row-index has 107 nodes (223 at peak, 268 added, 161 deleted).
% 0.21/0.55 ; Retrieved 80 possibly forward subsuming rows in 107 calls.
% 0.21/0.55 ; Retrieved 3 possibly backward subsumed rows in 60 calls.
% 0.21/0.55 ; Path-index has 49 entries (74 at peak, 91 added, 42 deleted).
% 0.21/0.55 ; Path-index has 106 nodes (122 at peak, 140 added, 34 deleted).
% 0.21/0.55 ; Trie-index has 49 entries (74 at peak, 91 added, 42 deleted).
% 0.21/0.55 ; Trie-index has 97 nodes (133 at peak, 164 added, 67 deleted).
% 0.21/0.55 ; Retrieved 74 generalization terms in 122 calls.
% 0.21/0.55 ; Retrieved 22 instance terms in 14 calls.
% 0.21/0.55 ; Retrieved 585 unifiable terms in 272 calls.
% 0.21/0.55 ;
% 0.21/0.55 ; The agenda of backward simplifiable rows to process has 15 entries:
% 0.21/0.55 ; 15 with value 0
% 0.21/0.55 ; The agenda of rows to process has 2 entries:
% 0.21/0.55 ; 2 with value 19
% 0.21/0.55 ; The agenda of input rows to give has 6 entries:
% 0.21/0.55 ; 1 with value 7 2 with value 18 1 with value 21
% 0.21/0.55 ; 2 with value 14
% 0.21/0.55 ; The agenda of rows to give has 8 entries:
% 0.21/0.55 ; 2 with value (4 5) 1 with value (4 11) 1 with value (4 22)
% 0.21/0.55 ; 1 with value (4 7) 2 with value (4 20) 1 with value (4 28)
% 0.21/0.55 Evaluation took:
% 0.21/0.55 0.058 seconds of real time
% 0.21/0.55 0.044664 seconds of user run time
% 0.21/0.55 0.01418 seconds of system run time
% 0.21/0.55 0 calls to %EVAL
% 0.21/0.55 0 page faults and
% 0.21/0.55 4,094,144 bytes consed.
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:02:23
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 *
%------------------------------------------------------------------------------