TSTP Solution File: SYN009-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 11:56:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   1 nHn;  10 RR)
%            Number of literals    :   18 (   0 equ;  12 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ p(X,Y,Z)
    | ~ t(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,negated_conjecture,
    ( ~ q(X,Y,Z)
    | ~ t(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,negated_conjecture,
    ( ~ r(X,Y,Z)
    | ~ t(Z,X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_6,negated_conjecture,
    s(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_7,negated_conjecture,
    t(c,c,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_8,negated_conjecture,
    ( ~ s(X)
    | ~ s(Y)
    | ~ s(Z)
    | p(X,Y,Z)
    | q(Y,Z,X)
    | r(Z,X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

cnf(9,plain,
    ~ p(c,c,c),
    inference('UR-RESOLVE',[status(thm)],[clause_1,clause_7]) ).

cnf(10,plain,
    ~ q(c,c,c),
    inference('UR-RESOLVE',[status(thm)],[clause_2,clause_7]) ).

cnf(11,plain,
    ~ r(c,c,c),
    inference('UR-RESOLVE',[status(thm)],[clause_3,clause_7]) ).

cnf(12,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_8,clause_6,clause_6,clause_6]),11,10,9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.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 : Mon Jul 11 23:06:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:06:04
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T23:06:04
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        38 formulas have been input or derived (from 9 formulas).
% 0.19/0.51  ;        12 (32%) were retained.  Of these,
% 0.19/0.51  ;           12 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.002   8%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (8 calls)
% 0.19/0.51  ;     0.001   4%   Process new row              (12 calls)
% 0.19/0.51  ;     0.001   4%   Resolution                   (16 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (8 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (4 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (12 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (12 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.021  84%   Other
% 0.19/0.51  ;     0.025        Total
% 0.19/0.51  ;     0.027        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 18 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 10 nodes (10 at peak, 10 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.19/0.51  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.19/0.51  ; Path-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.19/0.51  ; Path-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.19/0.51  ; Retrieved 3 generalization terms in 8 calls.
% 0.19/0.51  ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.51  ; Retrieved 247 unifiable terms in 150 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 26 entries:
% 0.19/0.51  ;    26 with value 16
% 0.19/0.51  ; The agenda of rows to give has 3 entries:
% 0.19/0.51  ;     3 with value (4 6)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.028 seconds of real time
% 0.19/0.51    0.022835 seconds of user run time
% 0.19/0.51    0.0052 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    1,837,728 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:06:04
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------