TSTP Solution File: ALG341-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG341-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Thu Jul 14 18:00:35 EDT 2022
% Result : Unsatisfiable 0.50s 0.70s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_norm__ge__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(Y,X),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
cnf(cls_real__le__trans_0,axiom,
( c_lessequals(X,Y,tc_RealDef_Oreal)
| ~ c_lessequals(Z,Y,tc_RealDef_Oreal)
| ~ c_lessequals(X,Z,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
cnf(cls_CHAINED_0_01,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(547,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_norm__ge__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(679,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_real__le__trans_0,cls_conjecture_0,cls_CHAINED_0_01]),547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG341-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 : Wed Jun 8 10:43:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-08T10:43:18
% 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 2022-06-08T10:43:18
% 0.38/0.59 WARNING:
% 0.38/0.59 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.59 WARNING:
% 0.38/0.59 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.70
% 0.50/0.70
% 0.50/0.70 #||
% 0.50/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.70 % SZS output start Refutation
% See solution above
% 0.50/0.70 ||#
% 0.50/0.70
% 0.50/0.70 ; Summary of computation:
% 0.50/0.70 ; 1170 formulas have been input or derived (from 227 formulas).
% 0.50/0.70 ; 679 (58%) were retained. Of these,
% 0.50/0.70 ; 4 ( 1%) were simplified or subsumed later,
% 0.50/0.70 ; 675 (99%) are still being kept.
% 0.50/0.70 ;
% 0.50/0.70 ; Run time in seconds excluding printing time:
% 0.50/0.70 ; 0.105 45% Read assertion file (1 call)
% 0.50/0.70 ; 0.010 4% Assert (595 calls)
% 0.50/0.70 ; 0.030 13% Process new row (1,056 calls)
% 0.50/0.70 ; 0.028 12% Resolution (452 calls)
% 0.50/0.70 ; 0.001 0% Paramodulation (226 calls)
% 0.50/0.70 ; 0.000 0% Factoring (1 call)
% 0.50/0.70 ; 0.011 5% Condensing (471 calls)
% 0.50/0.70 ; 0.008 3% Forward subsumption (471 calls)
% 0.50/0.70 ; 0.008 3% Backward subsumption (402 calls)
% 0.50/0.70 ; 0.000 0% Clause clause subsumption (487 calls)
% 0.50/0.70 ; 0.009 4% Forward simplification (1,052 calls)
% 0.50/0.70 ; 0.003 1% Backward simplification (679 calls)
% 0.50/0.70 ; 0.000 0% Ordering (264 calls)
% 0.50/0.70 ; 0.001 0% Sortal reasoning (32 calls)
% 0.50/0.70 ; 0.001 0% Purity testing (1 call)
% 0.50/0.70 ; 0.019 8% Other
% 0.50/0.70 ; 0.234 Total
% 0.50/0.70 ; 0.235 Real time
% 0.50/0.70 ;
% 0.50/0.70 ; Term-hash-array has 1,121 terms in all.
% 0.50/0.70 ; Feature-vector-row-index has 399 entries (399 at peak, 402 added, 3 deleted).
% 0.50/0.70 ; Feature-vector-row-index has 1,337 nodes (1,337 at peak, 1,342 added, 5 deleted).
% 0.50/0.70 ; Retrieved 393 possibly forward subsuming rows in 471 calls.
% 0.50/0.70 ; Retrieved 297 possibly backward subsumed rows in 402 calls.
% 0.50/0.70 ; Path-index has 1,122 entries (1,122 at peak, 1,131 added, 9 deleted).
% 0.50/0.70 ; Path-index has 3,438 nodes (3,438 at peak, 3,451 added, 13 deleted).
% 0.50/0.70 ; Trie-index has 1,122 entries (1,122 at peak, 1,131 added, 9 deleted).
% 0.50/0.70 ; Trie-index has 4,164 nodes (4,164 at peak, 4,199 added, 35 deleted).
% 0.50/0.70 ; Retrieved 533 generalization terms in 1,254 calls.
% 0.50/0.70 ; Retrieved 333 instance terms in 276 calls.
% 0.50/0.70 ; Retrieved 10,393 unifiable terms in 1,130 calls.
% 0.50/0.70 ;
% 0.50/0.70 ; The agenda of rows to process has 39 entries:
% 0.50/0.70 ; 3 with value 11 4 with value 14 12 with value 16
% 0.50/0.70 ; 20 with value 13
% 0.50/0.70 ; The agenda of input rows to give has 301 entries:
% 0.50/0.70 ; 11 with value 16 7 with value 26 1 with value 38
% 0.50/0.70 ; 23 with value 17 35 with value 27 6 with value 39
% 0.50/0.70 ; 25 with value 18 1 with value 28 2 with value 40
% 0.50/0.70 ; 28 with value 19 19 with value 30 3 with value 42
% 0.50/0.70 ; 19 with value 20 1 with value 31 1 with value 44
% 0.50/0.70 ; 29 with value 21 3 with value 32 1 with value 45
% 0.50/0.70 ; 15 with value 22 1 with value 33 2 with value 46
% 0.50/0.70 ; 3 with value 23 3 with value 34 2 with value 47
% 0.50/0.70 ; 42 with value 24 5 with value 35 1 with value 52
% 0.50/0.70 ; 9 with value 25 3 with value 37
% 0.50/0.70 ; The agenda of rows to give has 148 entries:
% 0.50/0.70 ; 6 with value (4 6) 28 with value (4 11) 3 with value (4 15)
% 0.50/0.70 ; 3 with value (4 8) 28 with value (4 12) 6 with value (4 16)
% 0.50/0.70 ; 16 with value (4 9) 24 with value (4 13) 1 with value (4 18)
% 0.50/0.70 ; 30 with value (4 10) 3 with value (4 14)
% 0.50/0.70 Evaluation took:
% 0.50/0.70 0.235 seconds of real time
% 0.50/0.70 0.216295 seconds of user run time
% 0.50/0.70 0.019236 seconds of system run time
% 0.50/0.70 [Run times include 0.01 seconds GC run time.]
% 0.50/0.70 0 calls to %EVAL
% 0.50/0.70 0 page faults and
% 0.50/0.70 14,908,168 bytes consed.
% 0.50/0.70 :PROOF-FOUND
% 0.50/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T10:43:18
% 0.50/0.70 :PROOF-FOUND
% 0.50/0.70 *
%------------------------------------------------------------------------------