TSTP Solution File: SYN920+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN920+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (   7 unt;   8 nHn;  20 RR)
%            Number of literals    :   38 (   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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ( f('SKOLEMAAAV1')
    | f('SKOLEMAAAV2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(2,negated_conjecture,
    ( f('SKOLEMAAAV1')
    | ~ g('SKOLEMAAAV2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(3,negated_conjecture,
    ( g('SKOLEMAAAV1')
    | f('SKOLEMAAAV2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(5,negated_conjecture,
    ( ~ h('SKOLEMAAAV1')
    | f('SKOLEMAAAV2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(6,negated_conjecture,
    ( ~ h('SKOLEMAAAV1')
    | ~ g('SKOLEMAAAV2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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

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

cnf(9,negated_conjecture,
    ( ~ f(X)
    | ~ g(X)
    | h(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(10,plain,
    ( f('SKOLEMAAAV1')
    | g('SKOLEMAAAV2')
    | h('SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[7,1,1]) ).

cnf(11,plain,
    ( f('SKOLEMAAAV1')
    | g('SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[8,10,1]) ).

cnf(12,plain,
    f('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[2,11]) ).

cnf(13,plain,
    ( f('SKOLEMAAAV2')
    | h('SKOLEMAAAV1') ),
    inference('HYPERRESOLVE',[status(thm)],[9,12,3]) ).

cnf(14,plain,
    ( g('SKOLEMAAAV1')
    | h('SKOLEMAAAV1') ),
    inference('HYPERRESOLVE',[status(thm)],[7,12,12]) ).

cnf(15,plain,
    f('SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[5,13]) ).

cnf(16,plain,
    ( g('SKOLEMAAAV2')
    | h('SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[7,15,15]) ).

cnf(19,plain,
    g('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[8,14,12]) ).

cnf(20,plain,
    h('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[9,19,12]) ).

cnf(21,plain,
    ~ g('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[6,20]) ).

cnf(22,plain,
    h('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[16,21]) ).

cnf(23,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,21,15]),22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN920+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 21:23:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T21:23:03
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-11T21:23:03
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        31 formulas have been input or derived (from 18 formulas).
% 0.18/0.49  ;        23 (74%) were retained.  Of these,
% 0.18/0.49  ;           13 (57%) were simplified or subsumed later,
% 0.18/0.49  ;           10 (43%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   7%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (1 call)
% 0.18/0.49  ;     0.001   4%   Process new row              (27 calls)
% 0.18/0.49  ;     0.000   0%   Resolution                   (34 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (17 calls)
% 0.18/0.49  ;     0.000   0%   Factoring                    (6 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (17 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (17 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (16 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.18/0.49  ;     0.001   4%   Forward simplification       (24 calls)
% 0.18/0.49  ;     0.001   4%   Backward simplification      (23 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (17 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.022  81%   Other
% 0.18/0.49  ;     0.027        Total
% 0.18/0.49  ;     0.029        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 11 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 3 entries (10 at peak, 16 added, 13 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 9 nodes (42 at peak, 53 added, 44 deleted).
% 0.18/0.49  ;  Retrieved 4 possibly forward subsuming rows in 17 calls.
% 0.18/0.49  ;  Retrieved 3 possibly backward subsumed rows in 16 calls.
% 0.18/0.49  ; Path-index has 13 entries (13 at peak, 15 added, 2 deleted).
% 0.18/0.49  ; Path-index has 15 nodes (15 at peak, 17 added, 2 deleted).
% 0.18/0.49  ; Trie-index has 13 entries (13 at peak, 15 added, 2 deleted).
% 0.18/0.49  ; Trie-index has 15 nodes (15 at peak, 17 added, 2 deleted).
% 0.18/0.49  ; Retrieved 1 generalization term in 5 calls.
% 0.18/0.49  ; Retrieved 6 instance terms in 6 calls.
% 0.18/0.49  ; Retrieved 189 unifiable terms in 125 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 2 entries:
% 0.18/0.49  ;     2 with value 9
% 0.18/0.49  ; The agenda of rows to give has 2 entries:
% 0.18/0.49  ;     2 with value (4 9)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.03 seconds of real time
% 0.18/0.49    0.024902 seconds of user run time
% 0.18/0.49    0.004941 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    2,452,744 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T21:23:03
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------