TSTP Solution File: SYN310-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 11:59:08 EDT 2022

% Result   : Unsatisfiable 0.42s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  14 RR)
%            Number of literals    :   17 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( ~ p(X,Y,Z)
    | p(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause3,negated_conjecture,
    ( ~ p(X,Y,g(Z))
    | p(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

cnf(clause4,negated_conjecture,
    ( ~ p(f(X),Y,Z)
    | p(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(clause5,negated_conjecture,
    ~ p(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

cnf(clause6,negated_conjecture,
    p(f(g(a)),f(g(b)),f(g(c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

cnf(8,plain,
    ~ p(a,b,g(c)),
    inference('UR-RESOLVE',[status(thm)],[clause3,clause5]) ).

cnf(11,plain,
    p(g(a),f(g(b)),f(g(c))),
    inference('HYPERRESOLVE',[status(thm)],[clause4,clause6]) ).

cnf(21,plain,
    ~ p(g(c),b,a),
    inference('UR-RESOLVE',[status(thm)],[clause1,8]) ).

cnf(49,plain,
    ~ p(g(c),b,g(a)),
    inference('UR-RESOLVE',[status(thm)],[clause3,21]) ).

cnf(112,plain,
    ~ p(g(a),g(c),b),
    inference('UR-RESOLVE',[status(thm)],[clause1,49]) ).

cnf(210,plain,
    ~ p(g(a),g(c),g(b)),
    inference('UR-RESOLVE',[status(thm)],[clause3,112]) ).

cnf(216,plain,
    p(g(b),g(a),f(g(c))),
    inference('HYPERRESOLVE',[status(thm)],[clause4,11]) ).

cnf(302,plain,
    p(f(g(c)),g(a),g(b)),
    inference('HYPERRESOLVE',[status(thm)],[clause1,216]) ).

cnf(430,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause4,210]),302]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% 0.14/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul 12 02:57:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T02:57:53
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-12T02:57:53
% 0.21/0.50  
% 0.21/0.50  ; Recognized commutativity assertion (OR (NOT (|p| ?X ?Y ?Z)) (|p| ?Y ?X ?Z)).
% 0.42/0.58  ; Declaring p to be commutative.
% 0.42/0.58  
% 0.42/0.58  #||
% 0.42/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58  % SZS output start Refutation
% See solution above
% 0.42/0.58  ||#
% 0.42/0.58  
% 0.42/0.58  ; Summary of computation:
% 0.42/0.58  ;       988 formulas have been input or derived (from 167 formulas).
% 0.42/0.58  ;       430 (44%) were retained.  Of these,
% 0.42/0.58  ;          430 (100%) are still being kept.
% 0.42/0.58  ; 
% 0.42/0.58  ; Run time in seconds excluding printing time:
% 0.42/0.58  ;     0.002   2%   Read assertion file          (1 call)
% 0.42/0.58  ;     0.000   0%   Assert                       (6 calls)
% 0.42/0.58  ;     0.025  27%   Process new row              (828 calls)
% 0.42/0.58  ;     0.018  19%   Resolution                   (332 calls)
% 0.42/0.58  ;     0.004   4%   Paramodulation               (166 calls)
% 0.42/0.58  ;     0.001   1%   Condensing                   (3 calls)
% 0.42/0.58  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.42/0.58  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.42/0.58  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.42/0.58  ;     0.010  11%   Forward simplification       (828 calls)
% 0.42/0.58  ;     0.005   5%   Backward simplification      (430 calls)
% 0.42/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.58  ;     0.028  30%   Other
% 0.42/0.58  ;     0.093        Total
% 0.42/0.58  ;     0.094        Real time
% 0.42/0.58  ; 
% 0.42/0.58  ; Term-hash-array has 474 terms in all.
% 0.42/0.58  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.42/0.58  ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.42/0.58  ;  Retrieved 2 possibly forward subsuming rows in 3 calls.
% 0.42/0.58  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.42/0.58  ; Path-index has 477 entries (477 at peak, 477 added, 0 deleted).
% 0.42/0.58  ; Path-index has 164 nodes (164 at peak, 164 added, 0 deleted).
% 0.42/0.58  ; Trie-index has 477 entries (477 at peak, 477 added, 0 deleted).
% 0.42/0.58  ; Trie-index has 1,115 nodes (1,115 at peak, 1,115 added, 0 deleted).
% 0.42/0.58  ; Retrieved 398 generalization terms in 823 calls.
% 0.42/0.58  ; Retrieved 426 instance terms in 426 calls.
% 0.42/0.58  ; Retrieved 2,928 unifiable terms in 2,335 calls.
% 0.42/0.58  ; 
% 0.42/0.58  ; The agenda of rows to process has 1 entry:
% 0.42/0.58  ;     1 with value 17
% 0.42/0.58  ; The agenda of rows to give has 263 entries:
% 0.42/0.58  ;    19 with value (4 14)         75 with value (4 16)          71 with value (4 17)
% 0.42/0.58  ;    98 with value (4 15)
% 0.42/0.58  Evaluation took:
% 0.42/0.58    0.095 seconds of real time
% 0.42/0.58    0.087511 seconds of user run time
% 0.42/0.58    0.007382 seconds of system run time
% 0.42/0.58    0 calls to %EVAL
% 0.42/0.58    0 page faults and
% 0.42/0.58    5,457,744 bytes consed.
% 0.42/0.58  :PROOF-FOUND
% 0.42/0.58  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T02:57:53
% 0.42/0.58  :PROOF-FOUND
% 0.42/0.58  * 
%------------------------------------------------------------------------------