TSTP Solution File: COL015-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL015-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 00:41:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   5 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   :    8 (   0 sgn)

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

cnf(q_definition,axiom,
    apply(apply(apply(q,X),Y),Z) = apply(Y,apply(X,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_definition) ).

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

cnf(7,plain,
    apply(X,apply(Y,Y)) = apply(X,apply(m,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[q_definition,m_definition,theory(equality)]),q_definition,theory(equality)]) ).

cnf(14,plain,
    apply(X,X) != apply(combinator,apply(m,X)),
    inference('PARAMODULATE',[status(thm)],[prove_fixed_point,7,theory(equality)]) ).

cnf(26,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[14,q_definition]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue May 31 04:12:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T04:12:58
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-31T04:12:58
% 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  ;        62 formulas have been input or derived (from 6 formulas).
% 0.20/0.52  ;        26 (42%) were retained.  Of these,
% 0.20/0.52  ;           26 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds:
% 0.20/0.52  ;     0.001   3%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (3 calls)
% 0.20/0.52  ;     0.004  11%   Process new row              (50 calls)
% 0.20/0.52  ;     0.000   0%   Resolution                   (10 calls)
% 0.20/0.52  ;     0.003   8%   Paramodulation               (5 calls)
% 0.20/0.52  ;     0.004  11%   Forward simplification       (50 calls)
% 0.20/0.52  ;     0.001   3%   Backward simplification      (26 calls)
% 0.20/0.52  ;     0.002   5%   Ordering                     (501 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  ;     0.022  59%   Other
% 0.20/0.52  ;     0.037        Total
% 0.20/0.52  ;     0.038        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 117 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 120 entries (120 at peak, 120 added, 0 deleted).
% 0.20/0.52  ; Path-index has 179 nodes (179 at peak, 179 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 120 entries (120 at peak, 120 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 425 nodes (425 at peak, 425 added, 0 deleted).
% 0.20/0.52  ; Retrieved 657 generalization terms in 275 calls.
% 0.20/0.52  ; Retrieved 99 instance terms in 63 calls.
% 0.20/0.52  ; Retrieved 210 unifiable terms in 36 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 10 entries:
% 0.20/0.52  ;     2 with value 15              4 with value 22               1 with value 25
% 0.20/0.52  ;     1 with value 18              1 with value 24               1 with value 27
% 0.20/0.52  ; The agenda of rows to give has 20 entries:
% 0.20/0.52  ;     1 with value (4 14)          1 with value (4 20)           3 with value (4 24)
% 0.20/0.52  ;     1 with value (4 16)          1 with value (4 21)           3 with value (4 25)
% 0.20/0.52  ;     4 with value (4 18)          4 with value (4 23)           2 with value (4 26)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.039 seconds of real time
% 0.20/0.52    0.032263 seconds of user run time
% 0.20/0.52    0.006254 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    1,961,048 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T04:12:58
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------