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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 20:40:44 EDT 2022

% Result   : Theorem 0.40s 0.59s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (  12 unt;   0 nHn;  19 RR)
%            Number of literals    :   29 (  14 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 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   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

cnf(2,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

cnf(3,axiom,
    ( ~ aElement0(X)
    | aElement0(smndt0(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).

cnf(11,axiom,
    ( ~ aElement0(X)
    | sz00 = sdtpldt0(smndt0(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).

cnf(12,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

cnf(15,axiom,
    ( ~ aElement0(X)
    | X = sdtasdt0(sz10,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).

cnf(17,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | sdtasdt0(sdtpldt0(Y,Z),X) = sdtpldt0(sdtasdt0(Y,X),sdtasdt0(Z,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

cnf(18,axiom,
    ( ~ aElement0(X)
    | sdtasdt0(smndt0(sz10),X) = smndt0(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).

cnf(20,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__468) ).

cnf(21,negated_conjecture,
    ( sdtasdt0(xx,sz00) != sz00
    | sz00 != sdtasdt0(sz00,xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(23,plain,
    aElement0(smndt0(sz10)),
    inference('HYPERRESOLVE',[status(thm)],[3,2]) ).

cnf(33,plain,
    xx = sdtasdt0(sz10,xx),
    inference('HYPERRESOLVE',[status(thm)],[15,20]) ).

cnf(46,plain,
    sz00 = sdtpldt0(smndt0(xx),xx),
    inference('HYPERRESOLVE',[status(thm)],[11,20]) ).

cnf(47,plain,
    sz00 = sdtpldt0(smndt0(sz10),sz10),
    inference('HYPERRESOLVE',[status(thm)],[11,2]) ).

cnf(49,plain,
    sdtasdt0(smndt0(sz10),xx) = smndt0(xx),
    inference('HYPERRESOLVE',[status(thm)],[18,20]) ).

cnf(56,plain,
    sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
    inference('HYPERRESOLVE',[status(thm)],[12,20,1]) ).

cnf(391,plain,
    sz00 = sdtasdt0(sz00,xx),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,23,20,2]),46,33,49,47,theory(equality)]) ).

cnf(392,plain,
    sdtasdt0(xx,sz00) != sz00,
    inference('REWRITE',[status(thm)],[21,391,theory(equality)]) ).

cnf(393,plain,
    $false,
    inference('REWRITE',[status(thm)],[56,392,391,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n025.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 22:34:57 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T22:34:57
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T22:34:57
% 0.40/0.59  
% 0.40/0.59  
% 0.40/0.59  #||
% 0.40/0.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.59  % SZS output start Refutation
% See solution above
% 0.40/0.59  ||#
% 0.40/0.59  
% 0.40/0.59  ; Summary of computation:
% 0.40/0.59  ;      1630 formulas have been input or derived (from 24 formulas).
% 0.40/0.59  ;       393 (24%) were retained.  Of these,
% 0.40/0.59  ;          103 (26%) were simplified or subsumed later,
% 0.40/0.59  ;          290 (74%) are still being kept.
% 0.40/0.59  ; 
% 0.40/0.59  ; Run time in seconds excluding printing time:
% 0.40/0.59  ;     0.003   2%   Read assertion file          (1 call)
% 0.40/0.59  ;     0.001   1%   Assert                       (17 calls)
% 0.40/0.59  ;     0.029  24%   Process new row              (1,133 calls)
% 0.40/0.59  ;     0.024  20%   Resolution                   (46 calls)
% 0.40/0.59  ;     0.000   0%   Paramodulation               (23 calls)
% 0.40/0.59  ;     0.001   1%   Condensing                   (18 calls)
% 0.40/0.59  ;     0.001   1%   Forward subsumption          (18 calls)
% 0.40/0.59  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.40/0.59  ;     0.000   0%   Clause clause subsumption    (16 calls)
% 0.40/0.59  ;     0.024  20%   Forward simplification       (1,133 calls)
% 0.40/0.59  ;     0.006   5%   Backward simplification      (393 calls)
% 0.40/0.59  ;     0.002   2%   Ordering                     (348 calls)
% 0.40/0.59  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.40/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.40/0.59  ;     0.030  25%   Other
% 0.40/0.59  ;     0.122        Total
% 0.40/0.59  ;     0.124        Real time
% 0.40/0.59  ; 
% 0.40/0.59  ; Term-hash-array has 837 terms in all.
% 0.40/0.59  ; Feature-vector-row-index has 17 entries (18 at peak, 18 added, 1 deleted).
% 0.40/0.59  ; Feature-vector-row-index has 45 nodes (55 at peak, 55 added, 10 deleted).
% 0.40/0.59  ;  Retrieved 11 possibly forward subsuming rows in 18 calls.
% 0.40/0.59  ;  Retrieved 5 possibly backward subsumed rows in 18 calls.
% 0.40/0.59  ; Path-index has 648 entries (712 at peak, 867 added, 219 deleted).
% 0.40/0.59  ; Path-index has 481 nodes (481 at peak, 489 added, 8 deleted).
% 0.40/0.59  ; Trie-index has 648 entries (712 at peak, 867 added, 219 deleted).
% 0.40/0.59  ; Trie-index has 2,360 nodes (2,552 at peak, 3,127 added, 767 deleted).
% 0.40/0.59  ; Retrieved 1,968 generalization terms in 5,346 calls.
% 0.40/0.59  ; Retrieved 374 instance terms in 374 calls.
% 0.40/0.59  ; Retrieved 10,329 unifiable terms in 1,733 calls.
% 0.40/0.59  ; 
% 0.40/0.59  ; The agenda of backward simplifiable rows to process has 27 entries:
% 0.40/0.59  ;    27 with value 0
% 0.40/0.59  ; The agenda of rows to process has 466 entries:
% 0.40/0.59  ;   190 with value 21             96 with value 23              48 with value 26
% 0.40/0.59  ;    36 with value 22             96 with value 24
% 0.40/0.59  ; The agenda of input rows to give has 1 entry:
% 0.40/0.59  ;     1 with value 7
% 0.40/0.59  ; The agenda of rows to give has 266 entries:
% 0.40/0.59  ;     1 with value (4 6)          25 with value (4 13)          12 with value (4 20)
% 0.40/0.59  ;     6 with value (4 7)          18 with value (4 14)          22 with value (4 21)
% 0.40/0.59  ;    10 with value (4 8)          25 with value (4 15)           6 with value (4 22)
% 0.40/0.59  ;     3 with value (4 9)          17 with value (4 16)           3 with value (4 23)
% 0.40/0.59  ;    15 with value (4 10)         23 with value (4 17)           2 with value (4 24)
% 0.40/0.59  ;    16 with value (4 11)         12 with value (4 18)           2 with value (4 25)
% 0.40/0.59  ;     9 with value (4 12)         38 with value (4 19)           1 with value (4 27)
% 0.40/0.59  Evaluation took:
% 0.40/0.59    0.124 seconds of real time
% 0.40/0.59    0.112142 seconds of user run time
% 0.40/0.59    0.012766 seconds of system run time
% 0.40/0.59    0 calls to %EVAL
% 0.40/0.59    0 page faults and
% 0.40/0.59    8,566,568 bytes consed.
% 0.40/0.59  :PROOF-FOUND
% 0.40/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T22:34:57
% 0.40/0.59  :PROOF-FOUND
% 0.40/0.59  * 
%------------------------------------------------------------------------------