TSTP Solution File: SYN014-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 : Thu Jul 21 11:56:33 EDT 2022

% Result   : Unsatisfiable 0.37s 0.53s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(transitivityish,axiom,
    ( ~ equalish(X,Y)
    | ~ equalish(Y,Z)
    | equalish(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivityish) ).

cnf(c_19,negated_conjecture,
    ~ equalish(m,n),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_19) ).

cnf(c_20,negated_conjecture,
    equalish(n,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_20) ).

cnf(c_23,negated_conjecture,
    equalish(m,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_23) ).

cnf(26,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[transitivityish,c_20,c_23,c_19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon Jul 11 23:25:00 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.22/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48  * 
% 0.22/0.48  * 
% 0.22/0.49  #<PACKAGE "SNARK-USER">
% 0.22/0.49  * 
% 0.22/0.49  SNARK-TPTP-OPTIONS
% 0.22/0.49  * 
% 0.22/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49   (USE-FACTORING :POS)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49  * 
% 0.22/0.49  "."
% 0.22/0.49  * 
% 0.22/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:25:00
% 0.22/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-11T23:25:00
% 0.22/0.51  
% 0.22/0.51  ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.37/0.53  ; Declaring equalish to be commutative.
% 0.37/0.53  
% 0.37/0.53  #||
% 0.37/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.53  % SZS output start Refutation
% See solution above
% 0.37/0.53  ||#
% 0.37/0.53  
% 0.37/0.53  ; Summary of computation:
% 0.37/0.53  ;       124 formulas have been input or derived (from 9 formulas).
% 0.37/0.53  ;        26 (21%) were retained.  Of these,
% 0.37/0.53  ;           26 (100%) are still being kept.
% 0.37/0.53  ; 
% 0.37/0.53  ; Run time in seconds:
% 0.37/0.53  ;     0.005  14%   Read assertion file          (1 call)
% 0.37/0.53  ;     0.001   3%   Assert                       (26 calls)
% 0.37/0.53  ;     0.003   9%   Process new row              (27 calls)
% 0.37/0.53  ;     0.001   3%   Resolution                   (16 calls)
% 0.37/0.53  ;     0.001   3%   Paramodulation               (8 calls)
% 0.37/0.53  ;     0.001   3%   Condensing                   (18 calls)
% 0.37/0.53  ;     0.000   0%   Forward subsumption          (18 calls)
% 0.37/0.53  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.37/0.53  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.37/0.53  ;     0.000   0%   Forward simplification       (27 calls)
% 0.37/0.53  ;     0.000   0%   Backward simplification      (26 calls)
% 0.37/0.53  ;     0.000   0%   Ordering                     (6 calls)
% 0.37/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.53  ;     0.023  66%   Other
% 0.37/0.53  ;     0.035        Total
% 0.37/0.53  ;     0.036        Real time
% 0.37/0.53  ; 
% 0.37/0.53  ; Term-hash-array has 36 terms in all.
% 0.37/0.53  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.37/0.53  ; Feature-vector-row-index has 58 nodes (58 at peak, 58 added, 0 deleted).
% 0.37/0.53  ;  Retrieved 3 possibly forward subsuming rows in 18 calls.
% 0.37/0.53  ;  Retrieved 5 possibly backward subsumed rows in 18 calls.
% 0.37/0.53  ; Path-index has 40 entries (40 at peak, 40 added, 0 deleted).
% 0.37/0.53  ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.37/0.53  ; Trie-index has 40 entries (40 at peak, 40 added, 0 deleted).
% 0.37/0.53  ; Trie-index has 50 nodes (50 at peak, 50 added, 0 deleted).
% 0.37/0.53  ; Retrieved 40 generalization terms in 40 calls.
% 0.37/0.53  ; Retrieved 7 instance terms in 7 calls.
% 0.37/0.53  ; Retrieved 925 unifiable terms in 102 calls.
% 0.37/0.53  ; 
% 0.37/0.53  ; The agenda of rows to process has 79 entries:
% 0.37/0.53  ;    79 with value 5
% 0.37/0.53  ; The agenda of input rows to give has 17 entries:
% 0.37/0.53  ;     6 with value 12              1 with value 16               2 with value 24
% 0.37/0.53  ;     8 with value 14
% 0.37/0.53  Evaluation took:
% 0.37/0.53    0.036 seconds of real time
% 0.37/0.53    0.032051 seconds of user run time
% 0.37/0.53    0.003995 seconds of system run time
% 0.37/0.53    0 calls to %EVAL
% 0.37/0.53    0 page faults and
% 0.37/0.53    1,744,440 bytes consed.
% 0.37/0.53  :PROOF-FOUND
% 0.37/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:25:00
% 0.37/0.53  :PROOF-FOUND
% 0.37/0.53  * 
%------------------------------------------------------------------------------