TSTP Solution File: NUM468+2 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM468+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 14:10:48 EDT 2022

% Result   : Theorem 0.94s 1.11s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   4 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | ~ aNaturalNumber0(Z)
    | sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

cnf(49,hypothesis,
    aNaturalNumber0(xl),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).

cnf(59,negated_conjecture,
    aNaturalNumber0(sdtsldt0(xm,xl)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(60,negated_conjecture,
    xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(61,negated_conjecture,
    aNaturalNumber0(sdtsldt0(xn,xl)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(62,negated_conjecture,
    xn = sdtasdt0(xl,sdtsldt0(xn,xl)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(63,negated_conjecture,
    sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2515,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,49,59,61]),63,62,60,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM468+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n005.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 : Wed Jul  6 08:03:52 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 2022-07-06T08:03:52
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-06T08:03:52
% 0.20/0.50  WARNING:
% 0.20/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.94/1.11  
% 0.94/1.11  
% 0.94/1.11  #||
% 0.94/1.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.94/1.11  % SZS output start Refutation
% See solution above
% 0.94/1.11  ||#
% 0.94/1.11  
% 0.94/1.11  ; Summary of computation:
% 0.94/1.11  ;      6357 formulas have been input or derived (from 54 formulas).
% 0.94/1.11  ;      2515 (40%) were retained.  Of these,
% 0.94/1.11  ;          469 (19%) were simplified or subsumed later,
% 0.94/1.11  ;         2046 (81%) are still being kept.
% 0.94/1.11  ; 
% 0.94/1.11  ; Run time in seconds:
% 0.94/1.11  ;     0.010   2%   Read assertion file          (1 call)
% 0.94/1.11  ;     0.003   0%   Assert                       (35 calls)
% 0.94/1.11  ;     0.159  25%   Process new row              (6,182 calls)
% 0.94/1.11  ;     0.243  39%   Resolution                   (106 calls)
% 0.94/1.11  ;     0.001   0%   Paramodulation               (53 calls)
% 0.94/1.11  ;     0.003   0%   Condensing                   (193 calls)
% 0.94/1.11  ;     0.004   1%   Forward subsumption          (193 calls)
% 0.94/1.11  ;     0.001   0%   Backward subsumption         (152 calls)
% 0.94/1.11  ;     0.003   0%   Clause clause subsumption    (138 calls)
% 0.94/1.11  ;     0.108  17%   Forward simplification       (6,181 calls)
% 0.94/1.11  ;     0.039   6%   Backward simplification      (2,515 calls)
% 0.94/1.11  ;     0.010   2%   Ordering                     (2,337 calls)
% 0.94/1.11  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.94/1.11  ;     0.001   0%   Purity testing               (1 call)
% 0.94/1.11  ;     0.045   7%   Other
% 0.94/1.11  ;     0.630        Total
% 0.94/1.11  ;     0.631        Real time
% 0.94/1.11  ; 
% 0.94/1.11  ; Term-hash-array has 5,579 terms in all.
% 0.94/1.11  ; Feature-vector-row-index has 130 entries (130 at peak, 152 added, 22 deleted).
% 0.94/1.11  ; Feature-vector-row-index has 461 nodes (469 at peak, 552 added, 91 deleted).
% 0.94/1.11  ;  Retrieved 130 possibly forward subsuming rows in 193 calls.
% 0.94/1.11  ;  Retrieved 48 possibly backward subsumed rows in 152 calls.
% 0.94/1.11  ; Path-index has 4,742 entries (4,742 at peak, 5,904 added, 1,162 deleted).
% 0.94/1.11  ; Path-index has 813 nodes (813 at peak, 824 added, 11 deleted).
% 0.94/1.11  ; Trie-index has 4,742 entries (4,742 at peak, 5,904 added, 1,162 deleted).
% 0.94/1.11  ; Trie-index has 17,179 nodes (17,179 at peak, 21,370 added, 4,191 deleted).
% 0.94/1.11  ; Retrieved 9,241 generalization terms in 31,425 calls.
% 0.94/1.11  ; Retrieved 2,362 instance terms in 2,362 calls.
% 0.94/1.11  ; Retrieved 461,417 unifiable terms in 23,265 calls.
% 0.94/1.11  ; 
% 0.94/1.11  ; The agenda of rows to process has 166 entries:
% 0.94/1.11  ;    38 with value 26            112 with value 28              16 with value 32
% 0.94/1.11  ; The agenda of input rows to give has 10 entries:
% 0.94/1.11  ;     1 with value 25              1 with value 27               2 with value 30
% 0.94/1.11  ;     4 with value 26              1 with value 28               1 with value 31
% 0.94/1.11  ; The agenda of rows to give has 1982 entries:
% 0.94/1.11  ;    10 with value (4 5)         232 with value (4 13)          22 with value (4 19)
% 0.94/1.11  ;    48 with value (4 7)          47 with value (4 14)         311 with value (4 20)
% 0.94/1.11  ;    85 with value (4 8)         340 with value (4 15)         128 with value (4 22)
% 0.94/1.11  ;    26 with value (4 9)          34 with value (4 16)         116 with value (4 24)
% 0.94/1.11  ;    59 with value (4 10)        106 with value (4 17)          22 with value (4 26)
% 0.94/1.11  ;    83 with value (4 11)        263 with value (4 18)          16 with value (4 28)
% 0.94/1.11  ;    34 with value (4 12)
% 0.94/1.11  Evaluation took:
% 0.94/1.11    0.631 seconds of real time
% 0.94/1.11    0.581614 seconds of user run time
% 0.94/1.11    0.049913 seconds of system run time
% 0.94/1.11    [Run times include 0.029 seconds GC run time.]
% 0.94/1.11    0 calls to %EVAL
% 0.94/1.11    0 page faults and
% 0.94/1.11    49,467,440 bytes consed.
% 0.94/1.11  :PROOF-FOUND
% 0.94/1.11  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T08:03:53
% 0.94/1.11  :PROOF-FOUND
% 0.94/1.11  * 
%------------------------------------------------------------------------------