TSTP Solution File: NUM613+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM613+1 : TPTP v8.1.0. Released 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 14:12:14 EDT 2022

% Result   : Theorem 0.40s 0.63s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   13 (   8 equ;   4 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    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(45,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | szszuzczcdt0(X) != szszuzczcdt0(Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).

cnf(151,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).

cnf(152,hypothesis,
    szszuzczcdt0(xk) = xK,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).

cnf(207,hypothesis,
    sbrdtbr0(xQ) = szszuzczcdt0(xk),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5255) ).

cnf(208,plain,
    sbrdtbr0(xQ) = xK,
    inference('REWRITE',[status(thm)],[207,152,theory(equality)]) ).

cnf(209,hypothesis,
    szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5255) ).

cnf(210,plain,
    szszuzczcdt0(sbrdtbr0(xP)) = xK,
    inference('REWRITE',[status(thm)],[209,208,theory(equality)]) ).

cnf(211,hypothesis,
    aElementOf0(sbrdtbr0(xP),szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5255) ).

cnf(212,negated_conjecture,
    sbrdtbr0(xP) != xk,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(379,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[45,151,211,212]),210,152,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM613+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jul  6 19:52:23 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T19:52:23
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-06T19:52:23
% 0.40/0.63  
% 0.40/0.63  
% 0.40/0.63  #||
% 0.40/0.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.63  % SZS output start Refutation
% See solution above
% 0.40/0.63  ||#
% 0.40/0.63  
% 0.40/0.63  ; Summary of computation:
% 0.40/0.63  ;       600 formulas have been input or derived (from 112 formulas).
% 0.40/0.63  ;       379 (63%) were retained.  Of these,
% 0.40/0.63  ;            5 ( 1%) were simplified or subsumed later,
% 0.40/0.63  ;          374 (99%) are still being kept.
% 0.40/0.63  ; 
% 0.40/0.63  ; Run time in seconds:
% 0.40/0.63  ;     0.027  21%   Read assertion file          (1 call)
% 0.40/0.63  ;     0.008   6%   Assert                       (110 calls)
% 0.40/0.63  ;     0.023  18%   Process new row              (552 calls)
% 0.40/0.63  ;     0.015  12%   Resolution                   (222 calls)
% 0.40/0.63  ;     0.002   2%   Paramodulation               (111 calls)
% 0.40/0.63  ;     0.003   2%   Condensing                   (189 calls)
% 0.40/0.63  ;     0.006   5%   Forward subsumption          (189 calls)
% 0.40/0.63  ;     0.003   2%   Backward subsumption         (187 calls)
% 0.40/0.63  ;     0.000   0%   Clause clause subsumption    (37 calls)
% 0.40/0.63  ;     0.012  10%   Forward simplification       (552 calls)
% 0.40/0.63  ;     0.001   1%   Backward simplification      (374 calls)
% 0.40/0.63  ;     0.002   2%   Ordering                     (135 calls)
% 0.40/0.63  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.63  ;     0.001   1%   Purity testing               (1 call)
% 0.40/0.63  ;     0.023  18%   Other
% 0.40/0.63  ;     0.126        Total
% 0.40/0.63  ;     0.127        Real time
% 0.40/0.63  ; 
% 0.40/0.63  ; Term-hash-array has 641 terms in all.
% 0.40/0.63  ; Feature-vector-row-index has 187 entries (187 at peak, 187 added, 0 deleted).
% 0.40/0.63  ; Feature-vector-row-index has 1,105 nodes (1,105 at peak, 1,105 added, 0 deleted).
% 0.40/0.63  ;  Retrieved 56 possibly forward subsuming rows in 189 calls.
% 0.40/0.63  ;  Retrieved 13 possibly backward subsumed rows in 187 calls.
% 0.40/0.63  ; Path-index has 657 entries (657 at peak, 657 added, 0 deleted).
% 0.40/0.63  ; Path-index has 1,430 nodes (1,430 at peak, 1,430 added, 0 deleted).
% 0.40/0.63  ; Trie-index has 657 entries (657 at peak, 657 added, 0 deleted).
% 0.40/0.63  ; Trie-index has 1,501 nodes (1,501 at peak, 1,501 added, 0 deleted).
% 0.40/0.63  ; Retrieved 243 generalization terms in 1,120 calls.
% 0.40/0.63  ; Retrieved 186 instance terms in 186 calls.
% 0.40/0.63  ; Retrieved 22,601 unifiable terms in 1,608 calls.
% 0.40/0.63  ; 
% 0.40/0.63  ; The agenda of rows to process has 4 entries:
% 0.40/0.63  ;     2 with value 19              2 with value 23
% 0.40/0.63  ; The agenda of input rows to give has 96 entries:
% 0.40/0.63  ;     7 with value 19              2 with value 29               2 with value 39
% 0.40/0.63  ;     8 with value 20              3 with value 30               1 with value 40
% 0.40/0.63  ;     6 with value 21              5 with value 31               3 with value 41
% 0.40/0.63  ;     5 with value 22              2 with value 32               1 with value 42
% 0.40/0.63  ;     2 with value 23              3 with value 33               4 with value 43
% 0.40/0.63  ;    11 with value 24              2 with value 34               1 with value 44
% 0.40/0.63  ;    10 with value 25              4 with value 35               1 with value 47
% 0.40/0.63  ;     1 with value 26              1 with value 36               1 with value 48
% 0.40/0.63  ;     2 with value 27              1 with value 37               1 with value 56
% 0.40/0.63  ;     6 with value 28
% 0.40/0.63  ; The agenda of rows to give has 166 entries:
% 0.40/0.63  ;    12 with value (4 4)          16 with value (4 9)            3 with value (4 13)
% 0.40/0.63  ;    18 with value (4 5)           3 with value (4 10)           3 with value (4 14)
% 0.40/0.63  ;    13 with value (4 6)          15 with value (4 11)           5 with value (4 15)
% 0.40/0.63  ;    53 with value (4 7)          14 with value (4 12)           2 with value (4 18)
% 0.40/0.63  ;     9 with value (4 8)
% 0.40/0.63  Evaluation took:
% 0.40/0.63    0.127 seconds of real time
% 0.40/0.63    0.115209 seconds of user run time
% 0.40/0.63    0.012145 seconds of system run time
% 0.40/0.63    0 calls to %EVAL
% 0.40/0.63    0 page faults and
% 0.40/0.63    6,804,872 bytes consed.
% 0.40/0.63  :PROOF-FOUND
% 0.40/0.63  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T19:52:23
% 0.40/0.63  :PROOF-FOUND
% 0.40/0.63  * 
%------------------------------------------------------------------------------