TSTP Solution File: NUM423+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 14:10:23 EDT 2022

% Result   : Theorem 0.40s 0.57s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (   9 unt;   2 nHn;  13 RR)
%            Number of literals    :   25 (   8 equ;  13 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).

cnf(10,axiom,
    ( ~ aInteger0(X)
    | sdtpldt0(X,smndt0(X)) = sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).

cnf(18,axiom,
    ( ~ aInteger0(X)
    | sdtasdt0(X,sz00) = sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).

cnf(27,axiom,
    ( ~ aInteger0(X)
    | aDivisorOf0(Y,X)
    | ~ aInteger0(Y)
    | Y = sz00
    | ~ aInteger0(Z)
    | sdtasdt0(Y,Z) != X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).

cnf(29,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | ~ aInteger0(Z)
    | Z = sz00
    | sdteqdtlpzmzozddtrp0(X,Y,Z)
    | ~ aDivisorOf0(Z,sdtpldt0(X,smndt0(Y))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).

cnf(30,hypothesis,
    aInteger0(xa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__671) ).

cnf(31,hypothesis,
    aInteger0(xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__671) ).

cnf(32,hypothesis,
    xq != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__671) ).

cnf(33,negated_conjecture,
    ~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(52,plain,
    sdtasdt0(xq,sz00) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[18,31]) ).

cnf(75,plain,
    sdtpldt0(xa,smndt0(xa)) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[10,30]) ).

cnf(264,plain,
    ~ aDivisorOf0(xq,sz00),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[29,30,30,31,32,33]),75,theory(equality)]) ).

cnf(266,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,264,1,31,32,1]),52,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Tue Jul  5 11:47:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-05T11:47:18
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-05T11:47:18
% 0.40/0.57  
% 0.40/0.57  
% 0.40/0.57  #||
% 0.40/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.57  % SZS output start Refutation
% See solution above
% 0.40/0.57  ||#
% 0.40/0.57  
% 0.40/0.57  ; Summary of computation:
% 0.40/0.57  ;       791 formulas have been input or derived (from 39 formulas).
% 0.40/0.57  ;       266 (34%) were retained.  Of these,
% 0.40/0.57  ;           20 ( 8%) were simplified or subsumed later,
% 0.40/0.57  ;          246 (92%) are still being kept.
% 0.40/0.57  ; 
% 0.40/0.57  ; Run time in seconds excluding printing time:
% 0.40/0.57  ;     0.005   5%   Read assertion file          (1 call)
% 0.40/0.57  ;     0.001   1%   Assert                       (21 calls)
% 0.40/0.57  ;     0.025  25%   Process new row              (791 calls)
% 0.40/0.57  ;     0.022  22%   Resolution                   (76 calls)
% 0.40/0.57  ;     0.001   1%   Paramodulation               (38 calls)
% 0.40/0.57  ;     0.001   1%   Condensing                   (27 calls)
% 0.40/0.57  ;     0.001   1%   Forward subsumption          (27 calls)
% 0.40/0.57  ;     0.000   0%   Backward subsumption         (27 calls)
% 0.40/0.57  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.40/0.57  ;     0.016  16%   Forward simplification       (791 calls)
% 0.40/0.57  ;     0.003   3%   Backward simplification      (266 calls)
% 0.40/0.57  ;     0.001   1%   Ordering                     (228 calls)
% 0.40/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.40/0.57  ;     0.026  25%   Other
% 0.40/0.57  ;     0.102        Total
% 0.40/0.57  ;     0.103        Real time
% 0.40/0.57  ; 
% 0.40/0.57  ; Term-hash-array has 579 terms in all.
% 0.40/0.57  ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.40/0.57  ; Feature-vector-row-index has 81 nodes (81 at peak, 81 added, 0 deleted).
% 0.40/0.57  ;  Retrieved 13 possibly forward subsuming rows in 27 calls.
% 0.40/0.57  ;  Retrieved 8 possibly backward subsumed rows in 27 calls.
% 0.40/0.57  ; Path-index has 544 entries (544 at peak, 595 added, 51 deleted).
% 0.40/0.57  ; Path-index has 391 nodes (391 at peak, 391 added, 0 deleted).
% 0.40/0.58  ; Trie-index has 544 entries (544 at peak, 595 added, 51 deleted).
% 0.40/0.58  ; Trie-index has 1,632 nodes (1,632 at peak, 1,785 added, 153 deleted).
% 0.40/0.58  ; Retrieved 1,588 generalization terms in 3,674 calls.
% 0.40/0.58  ; Retrieved 238 instance terms in 238 calls.
% 0.40/0.58  ; Retrieved 15,601 unifiable terms in 2,070 calls.
% 0.40/0.58  ; 
% 0.40/0.58  ; The agenda of rows to give has 207 entries:
% 0.40/0.58  ;     4 with value (4 6)          14 with value (4 10)          43 with value (4 15)
% 0.40/0.58  ;    11 with value (4 7)          30 with value (4 11)           8 with value (4 17)
% 0.40/0.58  ;    20 with value (4 8)          46 with value (4 13)          16 with value (4 18)
% 0.40/0.58  ;     1 with value (4 9)           4 with value (4 14)          10 with value (4 20)
% 0.40/0.58  Evaluation took:
% 0.40/0.58    0.103 seconds of real time
% 0.40/0.58    0.089039 seconds of user run time
% 0.40/0.58    0.013861 seconds of system run time
% 0.40/0.58    0 calls to %EVAL
% 0.40/0.58    0 page faults and
% 0.40/0.58    5,982,232 bytes consed.
% 0.40/0.58  :PROOF-FOUND
% 0.40/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T11:47:18
% 0.40/0.58  :PROOF-FOUND
% 0.40/0.58  * 
%------------------------------------------------------------------------------