TSTP Solution File: COL024-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL024-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 0.13s 0.44s
% Output   : Refutation 0.13s
% 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
% 0.00/0.09  % Problem  : COL024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Tue May 31 06:42:43 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.38  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  * 
% 0.13/0.39  * 
% 0.13/0.40  #<PACKAGE "SNARK-USER">
% 0.13/0.40  * 
% 0.13/0.40  SNARK-TPTP-OPTIONS
% 0.13/0.40  * 
% 0.13/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.40   (USE-FACTORING :POS)
% 0.13/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.40  * 
% 0.13/0.40  "."
% 0.13/0.40  * 
% 0.13/0.40  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T06:42:43
% 0.13/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-31T06:42:43
% 0.13/0.44  
% 0.13/0.44  
% 0.13/0.44  #||
% 0.13/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44  % SZS output start Refutation
% See solution above
% 0.13/0.44  ||#
% 0.13/0.44  
% 0.13/0.44  ; Summary of computation:
% 0.13/0.44  ;        89 formulas have been input or derived (from 7 formulas).
% 0.13/0.44  ;        40 (45%) were retained.  Of these,
% 0.13/0.44  ;           40 (100%) are still being kept.
% 0.13/0.44  ; 
% 0.13/0.44  ; Run time in seconds excluding printing time:
% 0.13/0.44  ;     0.001   2%   Read assertion file          (1 call)
% 0.13/0.44  ;     0.001   2%   Assert                       (4 calls)
% 0.13/0.44  ;     0.007  15%   Process new row              (72 calls)
% 0.13/0.44  ;     0.000   0%   Resolution                   (12 calls)
% 0.13/0.44  ;     0.002   4%   Paramodulation               (6 calls)
% 0.13/0.44  ;     0.006  13%   Forward simplification       (72 calls)
% 0.13/0.44  ;     0.002   4%   Backward simplification      (40 calls)
% 0.13/0.45  ;     0.008  17%   Ordering                     (1,323 calls)
% 0.13/0.45  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.45  ;     0.000   0%   Purity testing               (1 call)
% 0.13/0.45  ;     0.019  41%   Other
% 0.13/0.45  ;     0.046        Total
% 0.13/0.45  ;     0.048        Real time
% 0.13/0.45  ; 
% 0.13/0.45  ; Term-hash-array has 210 terms in all.
% 0.13/0.45  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.13/0.45  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.13/0.45  ; Path-index has 214 entries (214 at peak, 214 added, 0 deleted).
% 0.13/0.45  ; Path-index has 218 nodes (218 at peak, 218 added, 0 deleted).
% 0.13/0.45  ; Trie-index has 214 entries (214 at peak, 214 added, 0 deleted).
% 0.13/0.45  ; Trie-index has 768 nodes (768 at peak, 768 added, 0 deleted).
% 0.13/0.45  ; Retrieved 1,625 generalization terms in 456 calls.
% 0.13/0.45  ; Retrieved 485 instance terms in 105 calls.
% 0.13/0.45  ; Retrieved 411 unifiable terms in 46 calls.
% 0.13/0.45  ; 
% 0.13/0.45  ; The agenda of rows to process has 15 entries:
% 0.13/0.45  ;     1 with value 14              2 with value 20               2 with value 24
% 0.13/0.45  ;     2 with value 17              3 with value 21               2 with value 25
% 0.13/0.45  ;     1 with value 19              2 with value 23
% 0.13/0.45  ; The agenda of rows to give has 33 entries:
% 0.13/0.45  ;     5 with value (4 18)          2 with value (4 23)           7 with value (4 25)
% 0.13/0.45  ;     2 with value (4 20)          5 with value (4 24)           8 with value (4 26)
% 0.13/0.45  ;     4 with value (4 21)
% 0.13/0.45  Evaluation took:
% 0.13/0.45    0.048 seconds of real time
% 0.13/0.45    0.040265 seconds of user run time
% 0.13/0.45    0.007341 seconds of system run time
% 0.13/0.45    0 calls to %EVAL
% 0.13/0.45    0 page faults and
% 0.13/0.45    2,456,464 bytes consed.
% 0.13/0.45  :PROOF-FOUND
% 0.13/0.45  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T06:42:43
% 0.13/0.45  :PROOF-FOUND
% 0.13/0.45  * 
%------------------------------------------------------------------------------