TSTP Solution File: ALG365-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 18:00:38 EDT 2022

% Result   : Unsatisfiable 0.48s 0.66s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-5 aty)
%            Number of variables   :    2 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
    c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( v_thesis____
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(329,plain,
    ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X,tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0]) ).

cnf(330,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_CHAINED_0,329]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun  8 11:37:08 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T11:37:08
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-08T11:37:08
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |c_SEQ_Osubseq| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |c_SEQ_Omonoseq| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  
% 0.48/0.66  
% 0.48/0.66  #||
% 0.48/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66  % SZS output start Refutation
% See solution above
% 0.48/0.66  ||#
% 0.48/0.66  
% 0.48/0.66  ; Summary of computation:
% 0.48/0.66  ;       480 formulas have been input or derived (from 1 formulas).
% 0.48/0.66  ;       330 (69%) were retained.  Of these,
% 0.48/0.66  ;            9 ( 3%) were simplified or subsumed later,
% 0.48/0.66  ;          321 (97%) are still being kept.
% 0.48/0.66  ; 
% 0.48/0.66  ; Run time in seconds:
% 0.48/0.66  ;     0.108  57%   Read assertion file          (1 call)
% 0.48/0.66  ;     0.011   6%   Assert                       (477 calls)
% 0.48/0.66  ;     0.023  12%   Process new row              (385 calls)
% 0.48/0.66  ;     0.007   4%   Condensing                   (351 calls)
% 0.48/0.66  ;     0.006   3%   Forward subsumption          (351 calls)
% 0.48/0.66  ;     0.007   4%   Backward subsumption         (302 calls)
% 0.48/0.66  ;     0.001   1%   Clause clause subsumption    (130 calls)
% 0.48/0.66  ;     0.005   3%   Forward simplification       (379 calls)
% 0.48/0.66  ;     0.001   1%   Backward simplification      (329 calls)
% 0.48/0.66  ;     0.002   1%   Ordering                     (46 calls)
% 0.48/0.66  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.48/0.66  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.66  ;     0.017   9%   Other
% 0.48/0.66  ;     0.190        Total
% 0.48/0.66  ;     0.192        Real time
% 0.48/0.66  ; 
% 0.48/0.66  ; Term-hash-array has 763 terms in all.
% 0.48/0.66  ; Feature-vector-row-index has 295 entries (296 at peak, 302 added, 7 deleted).
% 0.48/0.66  ; Feature-vector-row-index has 2,109 nodes (2,132 at peak, 2,157 added, 48 deleted).
% 0.48/0.66  ;  Retrieved 99 possibly forward subsuming rows in 351 calls.
% 0.48/0.66  ;  Retrieved 78 possibly backward subsumed rows in 302 calls.
% 0.48/0.66  ; Path-index has 763 entries (765 at peak, 778 added, 15 deleted).
% 0.48/0.66  ; Path-index has 1,883 nodes (1,889 at peak, 1,905 added, 22 deleted).
% 0.48/0.66  ; Trie-index has 763 entries (765 at peak, 778 added, 15 deleted).
% 0.48/0.66  ; Trie-index has 3,448 nodes (3,457 at peak, 3,510 added, 62 deleted).
% 0.48/0.66  ; Retrieved 11 generalization terms in 915 calls.
% 0.48/0.66  ; Retrieved 54 instance terms in 36 calls.
% 0.48/0.66  ; 
% 0.48/0.66  ; The agenda of input rows to process has 90 entries:
% 0.48/0.66  ;    90 with value 0
% 0.48/0.66  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.48/0.66  ;     1 with value 0
% 0.48/0.66  ; The agenda of input rows to give has 320 entries:
% 0.48/0.66  ;     1 with value 1               5 with value 20               8 with value 34
% 0.48/0.66  ;     2 with value 5              12 with value 21               4 with value 36
% 0.48/0.66  ;     2 with value 6              22 with value 22              13 with value 37
% 0.48/0.66  ;     1 with value 7               5 with value 23               3 with value 38
% 0.48/0.66  ;     1 with value 8              15 with value 24               2 with value 39
% 0.48/0.66  ;     4 with value 10             11 with value 25               1 with value 40
% 0.48/0.66  ;     4 with value 11              6 with value 26               3 with value 41
% 0.48/0.66  ;     6 with value 12             18 with value 27               3 with value 42
% 0.48/0.66  ;     9 with value 13              8 with value 28               1 with value 44
% 0.48/0.66  ;    15 with value 14              9 with value 29               1 with value 45
% 0.48/0.66  ;     6 with value 15              8 with value 30               1 with value 49
% 0.48/0.66  ;    14 with value 16             16 with value 31               1 with value 53
% 0.48/0.66  ;    22 with value 17             18 with value 32               1 with value 57
% 0.48/0.66  ;     8 with value 18              8 with value 33               1 with value 58
% 0.48/0.66  ;    21 with value 19
% 0.48/0.66  Evaluation took:
% 0.48/0.66    0.192 seconds of real time
% 0.48/0.66    0.177877 seconds of user run time
% 0.48/0.66    0.014008 seconds of system run time
% 0.48/0.66    0 calls to %EVAL
% 0.48/0.66    0 page faults and
% 0.48/0.66    11,767,640 bytes consed.
% 0.48/0.66  :PROOF-FOUND
% 0.48/0.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T11:37:08
% 0.48/0.66  :PROOF-FOUND
% 0.48/0.66  * 
%------------------------------------------------------------------------------