TSTP Solution File: COL070-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 00:41:47 EDT 2022

% Result   : Unsatisfiable 0.39s 0.56s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            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    :    5 (   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   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(n1_definition,axiom,
    apply(apply(apply(n1,X),Y),Z) = apply(apply(apply(X,Y),Y),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1_definition) ).

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

cnf(4,plain,
    apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
    inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).

cnf(12,plain,
    apply(apply(apply(n1,apply(b,X)),Y),Z) = apply(apply(X,apply(Y,Y)),Z),
    inference('PARAMODULATE',[status(thm)],[n1_definition,b_definition,theory(equality)]) ).

cnf(68,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[4,12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Tue May 31 12:45:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T12:45:23
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-31T12:45:23
% 0.39/0.56  
% 0.39/0.56  
% 0.39/0.56  #||
% 0.39/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.56  % SZS output start Refutation
% See solution above
% 0.39/0.56  ||#
% 0.39/0.56  
% 0.39/0.56  ; Summary of computation:
% 0.39/0.56  ;       166 formulas have been input or derived (from 8 formulas).
% 0.39/0.56  ;        68 (41%) were retained.  Of these,
% 0.39/0.56  ;            1 ( 1%) were simplified or subsumed later,
% 0.39/0.56  ;           67 (99%) are still being kept.
% 0.39/0.56  ; 
% 0.39/0.57  ; Run time in seconds excluding printing time:
% 0.39/0.57  ;     0.001   1%   Read assertion file          (1 call)
% 0.39/0.57  ;     0.000   0%   Assert                       (3 calls)
% 0.39/0.57  ;     0.016  18%   Process new row              (106 calls)
% 0.39/0.57  ;     0.000   0%   Resolution                   (14 calls)
% 0.39/0.57  ;     0.007   8%   Paramodulation               (7 calls)
% 0.39/0.57  ;     0.020  22%   Forward simplification       (106 calls)
% 0.39/0.57  ;     0.004   4%   Backward simplification      (68 calls)
% 0.39/0.57  ;     0.019  21%   Ordering                     (1,516 calls)
% 0.39/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.57  ;     0.024  26%   Other
% 0.39/0.57  ;     0.091        Total
% 0.39/0.57  ;     0.093        Real time
% 0.39/0.57  ; 
% 0.39/0.57  ; Term-hash-array has 319 terms in all.
% 0.39/0.57  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.39/0.57  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.39/0.57  ; Path-index has 319 entries (319 at peak, 322 added, 3 deleted).
% 0.39/0.57  ; Path-index has 244 nodes (244 at peak, 244 added, 0 deleted).
% 0.39/0.57  ; Trie-index has 319 entries (319 at peak, 322 added, 3 deleted).
% 0.39/0.57  ; Trie-index has 1,394 nodes (1,394 at peak, 1,409 added, 15 deleted).
% 0.39/0.57  ; Retrieved 2,389 generalization terms in 956 calls.
% 0.39/0.57  ; Retrieved 422 instance terms in 167 calls.
% 0.39/0.57  ; Retrieved 839 unifiable terms in 65 calls.
% 0.39/0.57  ; 
% 0.39/0.57  ; The agenda of rows to process has 58 entries:
% 0.39/0.57  ;     1 with value 21              4 with value 29               3 with value 36
% 0.39/0.57  ;     1 with value 24              5 with value 31               7 with value 37
% 0.39/0.57  ;     1 with value 25              6 with value 32               1 with value 40
% 0.39/0.57  ;     3 with value 26              1 with value 33               4 with value 42
% 0.39/0.57  ;     4 with value 27             13 with value 34               1 with value 46
% 0.39/0.57  ;     2 with value 28              1 with value 35
% 0.39/0.57  ; The agenda of rows to give has 59 entries:
% 0.39/0.57  ;     2 with value (4 23)          3 with value (4 27)           7 with value (4 30)
% 0.39/0.57  ;     3 with value (4 24)          9 with value (4 28)           3 with value (4 31)
% 0.39/0.57  ;     6 with value (4 25)          5 with value (4 29)           9 with value (4 32)
% 0.39/0.57  ;    12 with value (4 26)
% 0.39/0.57  Evaluation took:
% 0.39/0.57    0.094 seconds of real time
% 0.39/0.57    0.08452 seconds of user run time
% 0.39/0.57    0.008156 seconds of system run time
% 0.39/0.57    0 calls to %EVAL
% 0.39/0.57    0 page faults and
% 0.39/0.57    3,583,136 bytes consed.
% 0.39/0.57  :PROOF-FOUND
% 0.39/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T12:45:24
% 0.39/0.57  :PROOF-FOUND
% 0.39/0.57  * 
%------------------------------------------------------------------------------