TSTP Solution File: NUM019-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM019-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 : Mon Jul 18 14:06:08 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   4 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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(reflexivity,hypothesis,
    equalish(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

cnf(transitivity,hypothesis,
    ( ~ equalish(X,Y)
    | ~ equalish(X,Z)
    | equalish(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

cnf(a_equals_aa,hypothesis,
    equalish(a,aa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_aa) ).

cnf(prove_b_equals_a,negated_conjecture,
    ~ equalish(aa,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_a) ).

cnf(18,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[transitivity,a_equals_aa,reflexivity,prove_b_equals_a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM019-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.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 : Thu Jul  7 05:52:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-07T05:52:24
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-07T05:52:24
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        63 formulas have been input or derived (from 11 formulas).
% 0.19/0.50  ;        18 (29%) were retained.  Of these,
% 0.19/0.50  ;           18 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   4%   Assert                       (11 calls)
% 0.19/0.50  ;     0.001   4%   Process new row              (24 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (20 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (10 calls)
% 0.19/0.50  ;     0.001   4%   Condensing                   (3 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (24 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (18 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  81%   Other
% 0.19/0.50  ;     0.027        Total
% 0.19/0.50  ;     0.028        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 36 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.50  ; Path-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.19/0.50  ; Path-index has 117 nodes (117 at peak, 117 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.19/0.50  ; Retrieved 18 generalization terms in 26 calls.
% 0.19/0.50  ; Retrieved 20 instance terms in 14 calls.
% 0.19/0.50  ; Retrieved 302 unifiable terms in 86 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 37 entries:
% 0.19/0.50  ;    15 with value 5              10 with value 8                2 with value 10
% 0.19/0.50  ;     2 with value 7               2 with value 9                6 with value 13
% 0.19/0.50  ; The agenda of input rows to give has 1 entry:
% 0.19/0.50  ;     1 with value 13
% 0.19/0.50  ; The agenda of rows to give has 6 entries:
% 0.19/0.50  ;     2 with value (4 8)           2 with value (4 11)           1 with value (4 16)
% 0.19/0.50  ;     1 with value (4 10)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.029 seconds of real time
% 0.19/0.50    0.022109 seconds of user run time
% 0.19/0.50    0.006887 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    1,543,208 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T05:52:24
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------