TSTP Solution File: COL010-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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      :    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   :    9 (   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(s2_definition,axiom,
    apply(apply(apply(s2,X),Y),Z) = apply(apply(X,Z),apply(Y,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_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(24,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[4,s2_definition]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.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 12:11:30 EDT 2022
% 0.13/0.35  % 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 2022-05-31T12:11:30
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-31T12:11:30
% 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  ;        44 formulas have been input or derived (from 5 formulas).
% 0.20/0.52  ;        24 (55%) were retained.  Of these,
% 0.20/0.52  ;           24 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.001   3%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (3 calls)
% 0.20/0.52  ;     0.005  13%   Process new row              (34 calls)
% 0.20/0.52  ;     0.000   0%   Resolution                   (8 calls)
% 0.20/0.52  ;     0.001   3%   Paramodulation               (4 calls)
% 0.20/0.52  ;     0.004  11%   Forward simplification       (34 calls)
% 0.20/0.52  ;     0.001   3%   Backward simplification      (24 calls)
% 0.20/0.52  ;     0.004  11%   Ordering                     (359 calls)
% 0.20/0.52  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  55%   Other
% 0.20/0.52  ;     0.038        Total
% 0.20/0.52  ;     0.040        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 145 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 148 entries (148 at peak, 148 added, 0 deleted).
% 0.20/0.52  ; Path-index has 192 nodes (192 at peak, 192 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 148 entries (148 at peak, 148 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 613 nodes (613 at peak, 613 added, 0 deleted).
% 0.20/0.52  ; Retrieved 274 generalization terms in 249 calls.
% 0.20/0.52  ; Retrieved 87 instance terms in 63 calls.
% 0.20/0.52  ; Retrieved 158 unifiable terms in 33 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 9 entries:
% 0.20/0.52  ;     1 with value 14              1 with value 23               3 with value 25
% 0.20/0.52  ;     2 with value 22              1 with value 24               1 with value 26
% 0.20/0.52  ; The agenda of rows to give has 19 entries:
% 0.20/0.52  ;     3 with value (4 23)          4 with value (4 27)           1 with value (4 29)
% 0.20/0.52  ;     3 with value (4 25)          3 with value (4 28)           2 with value (4 30)
% 0.20/0.52  ;     3 with value (4 26)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.04 seconds of real time
% 0.20/0.52    0.034735 seconds of user run time
% 0.20/0.52    0.005126 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    1,965,552 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T12:11:30
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------