TSTP Solution File: ALG425-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG425-1 : 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 18:00:47 EDT 2022

% Result   : Unsatisfiable 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    3 (   2 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :    1 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
    c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_pa____,c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),v_c____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Otimes__class_Otimes(v_pa____,X,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(513,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG425-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % 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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  8 18:13:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T18:13:33
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-08T18:13:33
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  #||
% 0.56/0.74  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.74  ||#
% 0.56/0.74  
% 0.56/0.74  ; Summary of computation:
% 0.56/0.74  ;       812 formulas have been input or derived (from 1 formulas).
% 0.56/0.74  ;       513 (63%) were retained.  Of these,
% 0.56/0.74  ;           23 ( 4%) were simplified or subsumed later,
% 0.56/0.74  ;          490 (96%) are still being kept.
% 0.56/0.74  ; 
% 0.56/0.74  ; Run time in seconds:
% 0.56/0.74  ;     0.148  54%   Read assertion file          (1 call)
% 0.56/0.74  ;     0.014   5%   Assert                       (793 calls)
% 0.56/0.74  ;     0.044  16%   Process new row              (670 calls)
% 0.56/0.74  ;     0.015   5%   Condensing                   (540 calls)
% 0.56/0.74  ;     0.006   2%   Forward subsumption          (540 calls)
% 0.56/0.74  ;     0.008   3%   Backward subsumption         (471 calls)
% 0.56/0.74  ;     0.004   1%   Clause clause subsumption    (497 calls)
% 0.56/0.74  ;     0.006   2%   Forward simplification       (589 calls)
% 0.56/0.74  ;     0.002   1%   Backward simplification      (508 calls)
% 0.56/0.74  ;     0.000   0%   Ordering                     (52 calls)
% 0.56/0.74  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.56/0.74  ;     0.002   1%   Purity testing               (1 call)
% 0.56/0.74  ;     0.023   8%   Other
% 0.56/0.74  ;     0.273        Total
% 0.56/0.74  ;     0.274        Real time
% 0.56/0.74  ; 
% 0.56/0.74  ; Term-hash-array has 1,023 terms in all.
% 0.56/0.74  ; Feature-vector-row-index has 462 entries (462 at peak, 471 added, 9 deleted).
% 0.56/0.74  ; Feature-vector-row-index has 1,610 nodes (1,610 at peak, 1,664 added, 54 deleted).
% 0.56/0.74  ;  Retrieved 422 possibly forward subsuming rows in 540 calls.
% 0.56/0.74  ;  Retrieved 309 possibly backward subsumed rows in 471 calls.
% 0.56/0.74  ; Path-index has 1,003 entries (1,010 at peak, 1,035 added, 32 deleted).
% 0.56/0.74  ; Path-index has 3,564 nodes (3,600 at peak, 3,615 added, 51 deleted).
% 0.56/0.74  ; Trie-index has 1,003 entries (1,010 at peak, 1,035 added, 32 deleted).
% 0.56/0.74  ; Trie-index has 4,553 nodes (4,625 at peak, 4,733 added, 180 deleted).
% 0.56/0.74  ; Retrieved 67 generalization terms in 1,324 calls.
% 0.56/0.74  ; Retrieved 86 instance terms in 43 calls.
% 0.56/0.74  ; 
% 0.56/0.74  ; The agenda of input rows to process has 114 entries:
% 0.56/0.74  ;   114 with value 0
% 0.56/0.74  ; The agenda of backward simplifiable rows to process has 12 entries:
% 0.56/0.74  ;    12 with value 0
% 0.56/0.74  ; The agenda of input rows to give has 489 entries:
% 0.56/0.74  ;     2 with value 6              25 with value 20               3 with value 33
% 0.56/0.74  ;     2 with value 7              42 with value 21               4 with value 34
% 0.56/0.74  ;     5 with value 8              19 with value 22               1 with value 36
% 0.56/0.74  ;     2 with value 9               9 with value 23               6 with value 37
% 0.56/0.74  ;     7 with value 10             34 with value 24               1 with value 38
% 0.56/0.74  ;    10 with value 11             20 with value 25               5 with value 39
% 0.56/0.74  ;     7 with value 12             16 with value 26               3 with value 42
% 0.56/0.74  ;    29 with value 13             31 with value 27               3 with value 43
% 0.56/0.74  ;    26 with value 14             10 with value 28               1 with value 44
% 0.56/0.74  ;    21 with value 15              8 with value 29               1 with value 45
% 0.56/0.74  ;    27 with value 16              9 with value 30               2 with value 46
% 0.56/0.74  ;    27 with value 17              4 with value 31               1 with value 47
% 0.56/0.74  ;    31 with value 18              3 with value 32               1 with value 52
% 0.56/0.74  ;    31 with value 19
% 0.56/0.74  Evaluation took:
% 0.56/0.74    0.274 seconds of real time
% 0.56/0.74    0.25594 seconds of user run time
% 0.56/0.74    0.018037 seconds of system run time
% 0.56/0.74    [Run times include 0.008 seconds GC run time.]
% 0.56/0.74    0 calls to %EVAL
% 0.56/0.74    0 page faults and
% 0.56/0.74    16,852,240 bytes consed.
% 0.56/0.74  :PROOF-FOUND
% 0.56/0.74  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T18:13:34
% 0.56/0.74  :PROOF-FOUND
% 0.56/0.74  * 
%------------------------------------------------------------------------------