TSTP Solution File: SYN327-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 11:59:19 EDT 2022

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   3 unt;   1 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(X,a)
    | f(a,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause5,negated_conjecture,
    ( ~ f(a,X)
    | ~ f(a,z(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(clause6,negated_conjecture,
    ( ~ f(a,X)
    | ~ f(X,a)
    | ~ f(z(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

cnf(7,plain,
    f(a,a),
    inference('FACTOR',[status(thm)],[clause1]) ).

cnf(10,plain,
    ~ f(a,z(a)),
    inference('UR-RESOLVE',[status(thm)],[clause5,7]) ).

cnf(12,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause6,clause1,clause1,clause1]),10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n012.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jul 12 05:46:12 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  * 
% 0.17/0.44  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:46:12
% 0.17/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-12T05:46:12
% 0.17/0.46  
% 0.17/0.46  
% 0.17/0.46  #||
% 0.17/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46  % SZS output start Refutation
% See solution above
% 0.17/0.46  ||#
% 0.17/0.46  
% 0.17/0.46  ; Summary of computation:
% 0.17/0.46  ;        28 formulas have been input or derived (from 7 formulas).
% 0.17/0.46  ;        12 (43%) were retained.  Of these,
% 0.17/0.46  ;           12 (100%) are still being kept.
% 0.17/0.46  ; 
% 0.17/0.46  ; Run time in seconds excluding printing time:
% 0.17/0.46  ;     0.001   6%   Read assertion file          (1 call)
% 0.17/0.46  ;     0.000   0%   Assert                       (6 calls)
% 0.17/0.46  ;     0.000   0%   Process new row              (17 calls)
% 0.17/0.46  ;     0.001   6%   Resolution                   (12 calls)
% 0.17/0.46  ;     0.000   0%   Paramodulation               (6 calls)
% 0.17/0.46  ;     0.000   0%   Factoring                    (2 calls)
% 0.17/0.46  ;     0.000   0%   Condensing                   (12 calls)
% 0.17/0.46  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.17/0.46  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.17/0.46  ;     0.000   0%   Clause clause subsumption    (14 calls)
% 0.17/0.46  ;     0.001   6%   Forward simplification       (17 calls)
% 0.17/0.46  ;     0.000   0%   Backward simplification      (12 calls)
% 0.17/0.46  ;     0.000   0%   Ordering                     (36 calls)
% 0.17/0.46  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.46  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.46  ;     0.014  82%   Other
% 0.17/0.46  ;     0.017        Total
% 0.17/0.46  ;     0.018        Real time
% 0.17/0.46  ; 
% 0.17/0.46  ; Term-hash-array has 12 terms in all.
% 0.17/0.46  ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.17/0.46  ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.17/0.46  ;  Retrieved 16 possibly forward subsuming rows in 12 calls.
% 0.17/0.46  ;  Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.17/0.46  ; Path-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.17/0.46  ; Path-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.17/0.46  ; Trie-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.17/0.46  ; Trie-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.17/0.46  ; Retrieved 2 generalization terms in 16 calls.
% 0.17/0.46  ; Retrieved 3 instance terms in 3 calls.
% 0.17/0.46  ; Retrieved 125 unifiable terms in 53 calls.
% 0.17/0.46  ; 
% 0.17/0.46  ; The agenda of rows to process has 1 entry:
% 0.17/0.46  ;     1 with value 7
% 0.17/0.46  ; The agenda of input rows to give has 1 entry:
% 0.17/0.46  ;     1 with value 16
% 0.17/0.46  ; The agenda of rows to give has 4 entries:
% 0.17/0.46  ;     2 with value (4 7)           1 with value (4 11)           1 with value (4 13)
% 0.17/0.46  Evaluation took:
% 0.17/0.46    0.018 seconds of real time
% 0.17/0.46    0.012016 seconds of user run time
% 0.17/0.46    0.006241 seconds of system run time
% 0.17/0.46    0 calls to %EVAL
% 0.17/0.46    0 page faults and
% 0.17/0.46    1,592,520 bytes consed.
% 0.17/0.46  :PROOF-FOUND
% 0.17/0.46  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:46:12
% 0.17/0.46  :PROOF-FOUND
% 0.17/0.46  * 
%------------------------------------------------------------------------------