TSTP Solution File: SYN986+1.003 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 : Thu Jul 21 12:08:44 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   4 RR)
%            Number of literals    :   13 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    r(X,zero,succ(X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN002+0.ax',hyp1) ).

cnf(2,axiom,
    ( ~ r(X,Y,Z)
    | ~ r(Z,Y,U)
    | r(X,succ(Y),U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN002+0.ax',hyp2) ).

cnf(3,negated_conjecture,
    ( ~ r(zero,zero,X)
    | ~ r(zero,X,Y)
    | ~ r(zero,Y,Z)
    | ~ r(zero,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ck) ).

cnf(4,plain,
    r(X,succ(zero),succ(succ(X))),
    inference('HYPERRESOLVE',[status(thm)],[2,1,1]) ).

cnf(13,plain,
    r(X,succ(succ(zero)),succ(succ(succ(succ(X))))),
    inference('HYPERRESOLVE',[status(thm)],[2,4,4]) ).

cnf(23,plain,
    ~ r(zero,succ(succ(succ(succ(zero)))),X),
    inference('UR-RESOLVE',[status(thm)],[3,13,1,4]) ).

cnf(24,plain,
    r(X,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X))))))))),
    inference('HYPERRESOLVE',[status(thm)],[2,13,13]) ).

cnf(29,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[2,24,24,23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 15:54:29 EDT 2022
% 0.12/0.34  % 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 2022-07-11T15:54:29
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-11T15:54:29
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem 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  ;        56 formulas have been input or derived (from 29 formulas).
% 0.19/0.50  ;        29 (52%) were retained.  Of these,
% 0.19/0.50  ;           29 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.001   3%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (3 calls)
% 0.19/0.50  ;     0.004  13%   Process new row              (46 calls)
% 0.19/0.50  ;     0.002   6%   Resolution                   (56 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (28 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (2 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (46 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (29 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  ;     0.023  74%   Other
% 0.19/0.50  ;     0.031        Total
% 0.19/0.50  ;     0.033        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 49 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.19/0.50  ; Path-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.19/0.50  ; Path-index has 71 nodes (71 at peak, 71 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 126 nodes (126 at peak, 126 added, 0 deleted).
% 0.19/0.50  ; Retrieved 23 generalization terms in 49 calls.
% 0.19/0.50  ; Retrieved 26 instance terms in 26 calls.
% 0.19/0.50  ; Retrieved 396 unifiable terms in 331 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 7 entries:
% 0.19/0.50  ;     1 with value 15              1 with value 28               4 with value 45
% 0.19/0.50  ;     1 with value 17
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.033 seconds of real time
% 0.19/0.50    0.026747 seconds of user run time
% 0.19/0.50    0.006175 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    2,046,816 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T15:54:29
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------