TSTP Solution File: ALG436-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 18:00:49 EDT 2022

% Result   : Unsatisfiable 0.47s 0.65s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   3 unt;   1 nHn;   7 RR)
%            Number of literals    :   11 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_CHAINED_0_01,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(541,plain,
    c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference('HYPERRESOLVE',[status(thm)],[cls_CHAINED_0,cls_conjecture_1]) ).

cnf(542,plain,
    c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference('REWRITE',[status(thm)],[cls_CHAINED_0_01,541]) ).

cnf(543,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,542,541]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun  8 09:50:26 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-08T09:50:26
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-08T09:50:26
% 0.19/0.58  WARNING:
% 0.19/0.58     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.58  WARNING:
% 0.19/0.58     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.58  WARNING:
% 0.19/0.58     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  
% 0.47/0.65  
% 0.47/0.65  #||
% 0.47/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65  % SZS output start Refutation
% See solution above
% 0.47/0.65  ||#
% 0.47/0.65  
% 0.47/0.65  ; Summary of computation:
% 0.47/0.65  ;       788 formulas have been input or derived (from 166 formulas).
% 0.47/0.65  ;       543 (69%) were retained.  Of these,
% 0.47/0.65  ;           11 ( 2%) were simplified or subsumed later,
% 0.47/0.65  ;          532 (98%) are still being kept.
% 0.47/0.65  ; 
% 0.47/0.65  ; Run time in seconds:
% 0.47/0.65  ;     0.102  53%   Read assertion file          (1 call)
% 0.47/0.65  ;     0.008   4%   Assert                       (481 calls)
% 0.47/0.65  ;     0.030  16%   Process new row              (772 calls)
% 0.47/0.65  ;     0.006   3%   Resolution                   (330 calls)
% 0.47/0.65  ;     0.000   0%   Paramodulation               (165 calls)
% 0.47/0.65  ;     0.000   0%   Factoring                    (1 call)
% 0.47/0.65  ;     0.002   1%   Condensing                   (394 calls)
% 0.47/0.65  ;     0.005   3%   Forward subsumption          (394 calls)
% 0.47/0.65  ;     0.002   1%   Backward subsumption         (347 calls)
% 0.47/0.65  ;     0.004   2%   Clause clause subsumption    (334 calls)
% 0.47/0.65  ;     0.006   3%   Forward simplification       (766 calls)
% 0.47/0.65  ;     0.002   1%   Backward simplification      (543 calls)
% 0.47/0.65  ;     0.001   1%   Ordering                     (109 calls)
% 0.47/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.65  ;     0.002   1%   Purity testing               (1 call)
% 0.47/0.65  ;     0.022  11%   Other
% 0.47/0.65  ;     0.192        Total
% 0.47/0.65  ;     0.192        Real time
% 0.47/0.65  ; 
% 0.47/0.65  ; Term-hash-array has 970 terms in all.
% 0.47/0.65  ; Feature-vector-row-index has 336 entries (340 at peak, 347 added, 11 deleted).
% 0.47/0.65  ; Feature-vector-row-index has 1,096 nodes (1,136 at peak, 1,158 added, 62 deleted).
% 0.47/0.65  ;  Retrieved 233 possibly forward subsuming rows in 394 calls.
% 0.47/0.65  ;  Retrieved 188 possibly backward subsumed rows in 347 calls.
% 0.47/0.65  ; Path-index has 967 entries (967 at peak, 983 added, 16 deleted).
% 0.47/0.65  ; Path-index has 2,941 nodes (2,941 at peak, 2,967 added, 26 deleted).
% 0.47/0.65  ; Trie-index has 967 entries (967 at peak, 983 added, 16 deleted).
% 0.47/0.65  ; Trie-index has 3,740 nodes (3,740 at peak, 3,812 added, 72 deleted).
% 0.47/0.65  ; Retrieved 189 generalization terms in 776 calls.
% 0.47/0.65  ; Retrieved 210 instance terms in 195 calls.
% 0.47/0.65  ; Retrieved 2,504 unifiable terms in 685 calls.
% 0.47/0.65  ; 
% 0.47/0.65  ; The agenda of input rows to give has 249 entries:
% 0.47/0.65  ;     1 with value 7              24 with value 24               4 with value 34
% 0.47/0.65  ;    10 with value 15             13 with value 25               6 with value 37
% 0.47/0.65  ;    19 with value 16              9 with value 26               1 with value 38
% 0.47/0.65  ;    20 with value 17             10 with value 27               3 with value 42
% 0.47/0.65  ;    15 with value 18              7 with value 28               3 with value 43
% 0.47/0.65  ;    18 with value 19              3 with value 29               1 with value 44
% 0.47/0.65  ;    14 with value 20              8 with value 30               1 with value 45
% 0.47/0.65  ;    28 with value 21              3 with value 31               2 with value 46
% 0.47/0.65  ;    16 with value 22              1 with value 32               1 with value 47
% 0.47/0.65  ;     6 with value 23              1 with value 33               1 with value 52
% 0.47/0.65  ; The agenda of rows to give has 121 entries:
% 0.47/0.65  ;    66 with value (4 6)           6 with value (4 10)          14 with value (4 12)
% 0.47/0.65  ;     7 with value (4 8)          28 with value (4 11)
% 0.47/0.65  Evaluation took:
% 0.47/0.65    0.193 seconds of real time
% 0.47/0.65    0.180755 seconds of user run time
% 0.47/0.65    0.012133 seconds of system run time
% 0.47/0.65    0 calls to %EVAL
% 0.47/0.65    0 page faults and
% 0.47/0.65    11,872,320 bytes consed.
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T09:50:26
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  * 
%------------------------------------------------------------------------------