TSTP Solution File: ALG417-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG417-1 : 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 18:00:46 EDT 2022

% Result   : Unsatisfiable 0.51s 0.71s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    7 (   4 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_pCons__0__0_0,axiom,
    ( ~ class_HOL_Ozero(X)
    | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X)),X) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__0__0_0) ).

cnf(cls_sne_0,axiom,
    v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sne_0) ).

cnf(cls_kpn_0,axiom,
    v_s____ = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_kpn_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    v_k____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
    class_HOL_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).

cnf(705,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_pCons__0__0_0,clsarity_Complex__Ocomplex__HOL_Ozero]),cls_sne_0,cls_kpn_0,cls_conjecture_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG417-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n027.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  8 07:45:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-08T07:45:41
% 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 2022-06-08T07:45:41
% 0.38/0.60  WARNING:
% 0.38/0.60     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.60  WARNING:
% 0.38/0.60     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.71  
% 0.51/0.71  
% 0.51/0.71  #||
% 0.51/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.71  % SZS output start Refutation
% See solution above
% 0.51/0.71  ||#
% 0.51/0.71  
% 0.51/0.71  ; Summary of computation:
% 0.51/0.71  ;      1171 formulas have been input or derived (from 276 formulas).
% 0.51/0.71  ;       705 (60%) were retained.  Of these,
% 0.51/0.71  ;           24 ( 3%) were simplified or subsumed later,
% 0.51/0.71  ;          681 (97%) are still being kept.
% 0.51/0.71  ; 
% 0.51/0.71  ; Run time in seconds excluding printing time:
% 0.51/0.71  ;     0.110  44%   Read assertion file          (1 call)
% 0.51/0.71  ;     0.010   4%   Assert                       (539 calls)
% 0.51/0.71  ;     0.043  17%   Process new row              (1,100 calls)
% 0.51/0.71  ;     0.030  12%   Resolution                   (550 calls)
% 0.51/0.71  ;     0.004   2%   Paramodulation               (275 calls)
% 0.51/0.71  ;     0.003   1%   Condensing                   (451 calls)
% 0.51/0.71  ;     0.008   3%   Forward subsumption          (451 calls)
% 0.51/0.71  ;     0.005   2%   Backward subsumption         (392 calls)
% 0.51/0.71  ;     0.001   0%   Clause clause subsumption    (334 calls)
% 0.51/0.71  ;     0.008   3%   Forward simplification       (1,096 calls)
% 0.51/0.71  ;     0.002   1%   Backward simplification      (705 calls)
% 0.51/0.71  ;     0.002   1%   Ordering                     (312 calls)
% 0.51/0.71  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.51/0.71  ;     0.001   0%   Purity testing               (1 call)
% 0.51/0.71  ;     0.022   9%   Other
% 0.51/0.71  ;     0.249        Total
% 0.51/0.71  ;     0.251        Real time
% 0.51/0.71  ; 
% 0.51/0.71  ; Term-hash-array has 1,320 terms in all.
% 0.51/0.71  ; Feature-vector-row-index has 387 entries (387 at peak, 392 added, 5 deleted).
% 0.51/0.72  ; Feature-vector-row-index has 1,273 nodes (1,273 at peak, 1,295 added, 22 deleted).
% 0.51/0.72  ;  Retrieved 272 possibly forward subsuming rows in 451 calls.
% 0.51/0.72  ;  Retrieved 217 possibly backward subsumed rows in 392 calls.
% 0.51/0.72  ; Path-index has 1,279 entries (1,279 at peak, 1,331 added, 52 deleted).
% 0.51/0.72  ; Path-index has 3,668 nodes (3,668 at peak, 3,715 added, 47 deleted).
% 0.51/0.72  ; Trie-index has 1,279 entries (1,279 at peak, 1,331 added, 52 deleted).
% 0.51/0.72  ; Trie-index has 4,904 nodes (4,904 at peak, 5,069 added, 165 deleted).
% 0.51/0.72  ; Retrieved 792 generalization terms in 1,965 calls.
% 0.51/0.72  ; Retrieved 351 instance terms in 314 calls.
% 0.51/0.72  ; Retrieved 16,560 unifiable terms in 1,409 calls.
% 0.51/0.72  ; 
% 0.51/0.72  ; The agenda of rows to process has 2 entries:
% 0.51/0.72  ;     2 with value 16
% 0.51/0.72  ; The agenda of input rows to give has 197 entries:
% 0.51/0.72  ;     4 with value 18              9 with value 27               1 with value 38
% 0.51/0.72  ;    20 with value 19              7 with value 28               3 with value 42
% 0.51/0.72  ;    12 with value 20              3 with value 29               3 with value 43
% 0.51/0.72  ;    34 with value 21              8 with value 30               1 with value 44
% 0.51/0.72  ;    17 with value 22              3 with value 31               1 with value 45
% 0.51/0.72  ;     6 with value 23              1 with value 32               2 with value 46
% 0.51/0.72  ;    31 with value 24              1 with value 33               1 with value 47
% 0.51/0.72  ;    13 with value 25              4 with value 34               1 with value 52
% 0.51/0.72  ;     5 with value 26              6 with value 37
% 0.51/0.72  ; The agenda of rows to give has 208 entries:
% 0.51/0.72  ;     1 with value (4 5)          25 with value (4 11)          11 with value (4 16)
% 0.51/0.72  ;    72 with value (4 6)          19 with value (4 12)           7 with value (4 17)
% 0.51/0.72  ;     5 with value (4 7)          11 with value (4 13)           6 with value (4 18)
% 0.51/0.72  ;     9 with value (4 8)           7 with value (4 14)           2 with value (4 20)
% 0.51/0.72  ;     9 with value (4 9)          13 with value (4 15)           2 with value (4 21)
% 0.51/0.72  ;     9 with value (4 10)
% 0.51/0.72  Evaluation took:
% 0.51/0.72    0.251 seconds of real time
% 0.51/0.72    0.220088 seconds of user run time
% 0.51/0.72    0.030797 seconds of system run time
% 0.51/0.72    [Run times include 0.011 seconds GC run time.]
% 0.51/0.72    0 calls to %EVAL
% 0.51/0.72    0 page faults and
% 0.51/0.72    14,292,752 bytes consed.
% 0.51/0.72  :PROOF-FOUND
% 0.51/0.72  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T07:45:41
% 0.51/0.72  :PROOF-FOUND
% 0.51/0.72  * 
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