TSTP Solution File: SYN072+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN072+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 11:57:21 EDT 2022

% Result   : Theorem 0.22s 0.54s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   6 unt;   6 nHn;   6 RR)
%            Number of literals    :   23 (  18 equ;   2 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( X = 'SKOLEMAAAV1'
    | X = 'SKOLEMAAAV2' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_1) ).

cnf(2,axiom,
    big_p(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_2) ).

cnf(3,axiom,
    big_p(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_3) ).

cnf(4,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_4) ).

cnf(5,negated_conjecture,
    ~ big_p('SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49) ).

cnf(6,plain,
    ( X = 'SKOLEMAAAV1'
    | Y = 'SKOLEMAAAV1'
    | Y = X ),
    inference('PARAMODULATE',[status(thm)],[1,1,theory(equality)]) ).

cnf(7,plain,
    ( X = 'SKOLEMAAAV1'
    | Y = X
    | Z = Y
    | U = Y
    | U = Z ),
    inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).

cnf(9,plain,
    ( Y = X
    | Z = Y
    | Z = X ),
    inference('CONDENSE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,7,theory(equality)])]) ).

cnf(10,plain,
    ( X = a
    | X = b ),
    inference('HYPERRESOLVE',[status(thm)],[4,9]) ).

cnf(11,plain,
    ( X = a
    | big_p(X) ),
    inference('PARAMODULATE',[status(thm)],[3,10,theory(equality)]) ).

cnf(12,plain,
    'SKOLEMAAAV3' = a,
    inference('HYPERRESOLVE',[status(thm)],[5,11]) ).

cnf(13,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,2,12,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN072+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Tue Jul 12 01:12:55 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.22/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49  * 
% 0.22/0.49  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50   (USE-FACTORING :POS)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50  * 
% 0.22/0.50  "."
% 0.22/0.50  * 
% 0.22/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:12:55
% 0.22/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-12T01:12:55
% 0.22/0.54  
% 0.22/0.54  
% 0.22/0.54  #||
% 0.22/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.54  % SZS output start Refutation
% See solution above
% 0.22/0.54  ||#
% 0.22/0.54  
% 0.22/0.54  ; Summary of computation:
% 0.22/0.54  ;        51 formulas have been input or derived (from 11 formulas).
% 0.22/0.54  ;        13 (25%) were retained.  Of these,
% 0.22/0.54  ;            4 (31%) were simplified or subsumed later,
% 0.22/0.54  ;            9 (69%) are still being kept.
% 0.22/0.54  ; 
% 0.22/0.54  ; Run time in seconds excluding printing time:
% 0.22/0.54  ;     0.001   2%   Read assertion file          (1 call)
% 0.22/0.54  ;     0.000   0%   Assert                       (5 calls)
% 0.22/0.54  ;     0.000   0%   Process new row              (44 calls)
% 0.22/0.54  ;     0.000   0%   Resolution                   (20 calls)
% 0.22/0.55  ;     0.000   0%   Paramodulation               (10 calls)
% 0.22/0.55  ;     0.001   2%   Factoring                    (6 calls)
% 0.22/0.55  ;     0.014  31%   Condensing                   (17 calls)
% 0.22/0.55  ;     0.000   0%   Forward subsumption          (17 calls)
% 0.22/0.55  ;     0.000   0%   Backward subsumption         (7 calls)
% 0.22/0.55  ;     0.004   9%   Clause clause subsumption    (14 calls)
% 0.22/0.55  ;     0.000   0%   Forward simplification       (43 calls)
% 0.22/0.55  ;     0.000   0%   Backward simplification      (13 calls)
% 0.22/0.55  ;     0.002   4%   Ordering                     (168 calls)
% 0.22/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.22/0.55  ;     0.001   2%   Purity testing               (1 call)
% 0.22/0.55  ;     0.022  49%   Other
% 0.22/0.55  ;     0.045        Total
% 0.22/0.55  ;     0.047        Real time
% 0.22/0.55  ; 
% 0.22/0.55  ; Term-hash-array has 16 terms in all.
% 0.22/0.55  ; Feature-vector-row-index has 4 entries (4 at peak, 7 added, 3 deleted).
% 0.22/0.55  ; Feature-vector-row-index has 10 nodes (11 at peak, 17 added, 7 deleted).
% 0.22/0.55  ;  Retrieved 10 possibly forward subsuming rows in 17 calls.
% 0.22/0.55  ;  Retrieved 4 possibly backward subsumed rows in 7 calls.
% 0.22/0.55  ; Path-index has 17 entries (18 at peak, 24 added, 7 deleted).
% 0.22/0.55  ; Path-index has 17 nodes (18 at peak, 18 added, 1 deleted).
% 0.22/0.55  ; Trie-index has 17 entries (18 at peak, 24 added, 7 deleted).
% 0.22/0.55  ; Trie-index has 21 nodes (22 at peak, 23 added, 2 deleted).
% 0.22/0.55  ; Retrieved 2 generalization terms in 85 calls.
% 0.22/0.55  ; Retrieved 5 instance terms in 5 calls.
% 0.22/0.55  ; Retrieved 46 unifiable terms in 69 calls.
% 0.22/0.55  ; 
% 0.22/0.55  ; The agenda of rows to give has 1 entry:
% 0.22/0.55  ;     1 with value (4 10)
% 0.22/0.55  Evaluation took:
% 0.22/0.55    0.048 seconds of real time
% 0.22/0.55    0.045238 seconds of user run time
% 0.22/0.55    0.002144 seconds of system run time
% 0.22/0.55    0 calls to %EVAL
% 0.22/0.55    0 page faults and
% 0.22/0.55    2,337,352 bytes consed.
% 0.22/0.55  :PROOF-FOUND
% 0.22/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:12:55
% 0.22/0.55  :PROOF-FOUND
% 0.22/0.55  * 
%------------------------------------------------------------------------------