TSTP Solution File: SYN918+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Thu Jul 21 12:08:17 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   6 unt;   3 nHn;   9 RR)
%            Number of literals    :   28 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   12 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ( f(X)
    | f('SKOLEMAAAW1') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(2,plain,
    f('SKOLEMAAAW1'),
    inference('CONDENSE',[status(thm)],[1]) ).

cnf(3,negated_conjecture,
    ( f(X)
    | ~ g('SKOLEMAAAW1') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(4,negated_conjecture,
    ( g(X)
    | ~ g('SKOLEMAAAW1') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(5,negated_conjecture,
    ( ~ h(X)
    | ~ g('SKOLEMAAAW1') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(6,negated_conjecture,
    ( ~ f(X)
    | g(X)
    | ~ f(Y)
    | h(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(7,negated_conjecture,
    ( ~ f(X)
    | ~ h(X)
    | g(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(8,negated_conjecture,
    ( ~ f(X)
    | ~ g(X)
    | h(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(9,plain,
    ( g('SKOLEMAAAW1')
    | h('SKOLEMAAAW1') ),
    inference('HYPERRESOLVE',[status(thm)],[6,2,2]) ).

cnf(10,plain,
    g('SKOLEMAAAW1'),
    inference('HYPERRESOLVE',[status(thm)],[7,9,2]) ).

cnf(11,plain,
    f(X),
    inference('REWRITE',[status(thm)],[3,10]) ).

cnf(14,plain,
    ( ~ g(X)
    | h(X) ),
    inference('REWRITE',[status(thm)],[8,11]) ).

cnf(15,plain,
    g(X),
    inference('REWRITE',[status(thm)],[4,10]) ).

cnf(16,plain,
    h(X),
    inference('REWRITE',[status(thm)],[14,15]) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,16,10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Mon Jul 11 19:13:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:13:24
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T19:13:24
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        19 formulas have been input or derived (from 9 formulas).
% 0.20/0.51  ;        17 (89%) were retained.  Of these,
% 0.20/0.51  ;           13 (76%) were simplified or subsumed later,
% 0.20/0.51  ;            4 (24%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (1 call)
% 0.20/0.51  ;     0.001   4%   Process new row              (18 calls)
% 0.20/0.51  ;     0.001   4%   Resolution                   (16 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (8 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.51  ;     0.001   4%   Condensing                   (11 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (10 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (18 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (16 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (2 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.001   4%   Purity testing               (1 call)
% 0.20/0.51  ;     0.021  81%   Other
% 0.20/0.51  ;     0.026        Total
% 0.20/0.51  ;     0.028        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 8 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 0 entries (7 at peak, 10 added, 10 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 1 node (24 at peak, 29 added, 28 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 10 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 10 calls.
% 0.20/0.51  ; Path-index has 3 entries (9 at peak, 13 added, 10 deleted).
% 0.20/0.51  ; Path-index has 7 nodes (11 at peak, 14 added, 7 deleted).
% 0.20/0.51  ; Trie-index has 3 entries (9 at peak, 13 added, 10 deleted).
% 0.20/0.51  ; Trie-index has 7 nodes (11 at peak, 16 added, 9 deleted).
% 0.20/0.51  ; Retrieved 4 generalization terms in 14 calls.
% 0.20/0.51  ; Retrieved 8 instance terms in 5 calls.
% 0.20/0.51  ; Retrieved 60 unifiable terms in 41 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of input rows to give has 3 entries:
% 0.20/0.51  ;     3 with value 3
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.028 seconds of real time
% 0.20/0.51    0.025313 seconds of user run time
% 0.20/0.51    0.003055 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,022,184 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:13:24
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------