TSTP Solution File: COL021-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL021-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 : Fri Jul 15 00:41:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   4 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(b_definition,axiom,
    apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

cnf(m_definition,axiom,
    apply(m,X) = apply(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).

cnf(prove_fixed_point,negated_conjecture,
    X != apply(combinator,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(5,plain,
    apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
    inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).

cnf(40,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[5,m_definition]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n022.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 : Tue May 31 06:40:22 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-05-31T06:40:22
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-31T06:40:22
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;        89 formulas have been input or derived (from 7 formulas).
% 0.20/0.52  ;        40 (45%) were retained.  Of these,
% 0.20/0.52  ;           40 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.002   4%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (4 calls)
% 0.20/0.52  ;     0.010  20%   Process new row              (72 calls)
% 0.20/0.52  ;     0.000   0%   Resolution                   (12 calls)
% 0.20/0.52  ;     0.001   2%   Paramodulation               (6 calls)
% 0.20/0.52  ;     0.007  14%   Forward simplification       (72 calls)
% 0.20/0.52  ;     0.002   4%   Backward simplification      (40 calls)
% 0.20/0.52  ;     0.009  18%   Ordering                     (1,125 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.020  39%   Other
% 0.20/0.52  ;     0.051        Total
% 0.20/0.52  ;     0.053        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 201 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52  ; Path-index has 205 entries (205 at peak, 205 added, 0 deleted).
% 0.20/0.52  ; Path-index has 219 nodes (219 at peak, 219 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 205 entries (205 at peak, 205 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 719 nodes (719 at peak, 719 added, 0 deleted).
% 0.20/0.52  ; Retrieved 1,404 generalization terms in 454 calls.
% 0.20/0.52  ; Retrieved 412 instance terms in 105 calls.
% 0.20/0.52  ; Retrieved 401 unifiable terms in 46 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 16 entries:
% 0.20/0.52  ;     1 with value 14              1 with value 20               2 with value 24
% 0.20/0.52  ;     2 with value 17              3 with value 21               2 with value 25
% 0.20/0.52  ;     3 with value 19              2 with value 23
% 0.20/0.52  ; The agenda of rows to give has 33 entries:
% 0.20/0.52  ;     5 with value (4 18)          4 with value (4 23)           7 with value (4 25)
% 0.20/0.52  ;     5 with value (4 20)          5 with value (4 24)           7 with value (4 26)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.053 seconds of real time
% 0.20/0.52    0.04497 seconds of user run time
% 0.20/0.52    0.008189 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,444,272 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T06:40:22
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------