TSTP Solution File: PHI009+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Mon Jul 18 16:48:44 EDT 2022

% Result   : Theorem 0.38s 0.54s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   8 unt;   4 nHn;  16 RR)
%            Number of literals    :   55 (   4 equ;  38 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ property(X)
    | ~ property(Y)
    | ~ object(Z)
    | is_the(Z,X)
    | ~ object(U)
    | ~ exemplifies_property(X,U)
    | object('SKOLEMAAAV2'(X,U))
    | ~ exemplifies_property(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_schema_instance) ).

cnf(6,plain,
    ( ~ property(X)
    | ~ object(Y)
    | is_the(Y,X)
    | ~ object(Z)
    | ~ exemplifies_property(X,Z)
    | object('SKOLEMAAAV2'(X,Z)) ),
    inference('CONDENSE',[status(thm)],[5]) ).

cnf(7,axiom,
    ( ~ property(X)
    | ~ property(Y)
    | ~ object(Z)
    | is_the(Z,X)
    | ~ object(U)
    | ~ exemplifies_property(X,U)
    | exemplifies_property(X,'SKOLEMAAAV2'(X,U))
    | ~ exemplifies_property(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_schema_instance) ).

cnf(8,plain,
    ( ~ property(X)
    | ~ object(Y)
    | is_the(Y,X)
    | ~ object(Z)
    | ~ exemplifies_property(X,Z)
    | exemplifies_property(X,'SKOLEMAAAV2'(X,Z)) ),
    inference('CONDENSE',[status(thm)],[7]) ).

cnf(9,axiom,
    ( ~ property(X)
    | ~ property(Y)
    | ~ object(Z)
    | is_the(Z,X)
    | ~ object(U)
    | ~ exemplifies_property(X,U)
    | 'SKOLEMAAAV2'(X,U) != U
    | ~ exemplifies_property(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_schema_instance) ).

cnf(10,plain,
    ( ~ property(X)
    | ~ object(Y)
    | is_the(Y,X)
    | ~ object(Z)
    | ~ exemplifies_property(X,Z)
    | 'SKOLEMAAAV2'(X,Z) != Z ),
    inference('CONDENSE',[status(thm)],[9]) ).

cnf(14,negated_conjecture,
    property('SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).

cnf(15,negated_conjecture,
    object('SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).

cnf(16,negated_conjecture,
    exemplifies_property('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).

cnf(17,negated_conjecture,
    ( ~ object(X)
    | ~ exemplifies_property('SKOLEMAAAV3',X)
    | X = 'SKOLEMAAAV4' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).

cnf(18,negated_conjecture,
    ( ~ object(X)
    | ~ is_the(X,'SKOLEMAAAV3') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).

cnf(19,plain,
    ~ is_the('SKOLEMAAAV4','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[18,15]) ).

cnf(20,plain,
    object('SKOLEMAAAV2'('SKOLEMAAAV3','SKOLEMAAAV4')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,14,15,15,16]),19]) ).

cnf(21,plain,
    exemplifies_property('SKOLEMAAAV3','SKOLEMAAAV2'('SKOLEMAAAV3','SKOLEMAAAV4')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,14,15,15,16]),19]) ).

cnf(22,plain,
    'SKOLEMAAAV2'('SKOLEMAAAV3','SKOLEMAAAV4') != 'SKOLEMAAAV4',
    inference('UR-RESOLVE',[status(thm)],[10,19,14,15,15,16]) ).

cnf(24,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,21,20]),22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun  2 01:26:00 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T01:26:00
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-02T01:26:00
% 0.38/0.54  
% 0.38/0.54  
% 0.38/0.54  #||
% 0.38/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.54  % SZS output start Refutation
% See solution above
% 0.38/0.55  ||#
% 0.38/0.55  
% 0.38/0.55  ; Summary of computation:
% 0.38/0.55  ;        51 formulas have been input or derived (from 19 formulas).
% 0.38/0.55  ;        24 (47%) were retained.  Of these,
% 0.38/0.55  ;            3 (12%) were simplified or subsumed later,
% 0.38/0.55  ;           21 (88%) are still being kept.
% 0.38/0.55  ; 
% 0.38/0.55  ; Run time in seconds excluding printing time:
% 0.38/0.55  ;     0.002   6%   Read assertion file          (1 call)
% 0.38/0.55  ;     0.001   3%   Assert                       (2 calls)
% 0.38/0.55  ;     0.002   6%   Process new row              (30 calls)
% 0.38/0.55  ;     0.006  17%   Resolution                   (36 calls)
% 0.38/0.55  ;     0.000   0%   Paramodulation               (18 calls)
% 0.38/0.55  ;     0.001   3%   Condensing                   (12 calls)
% 0.38/0.55  ;     0.001   3%   Forward subsumption          (12 calls)
% 0.38/0.55  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.38/0.55  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.38/0.55  ;     0.001   3%   Forward simplification       (30 calls)
% 0.38/0.55  ;     0.000   0%   Backward simplification      (21 calls)
% 0.38/0.55  ;     0.000   0%   Ordering                     (2 calls)
% 0.38/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.55  ;     0.022  61%   Other
% 0.38/0.55  ;     0.036        Total
% 0.38/0.55  ;     0.038        Real time
% 0.38/0.55  ; 
% 0.38/0.55  ; Term-hash-array has 37 terms in all.
% 0.38/0.55  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.38/0.55  ; Feature-vector-row-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.38/0.55  ;  Retrieved 2 possibly forward subsuming rows in 12 calls.
% 0.38/0.55  ;  Retrieved 2 possibly backward subsumed rows in 12 calls.
% 0.38/0.55  ; Path-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.38/0.55  ; Path-index has 79 nodes (79 at peak, 79 added, 0 deleted).
% 0.38/0.55  ; Trie-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.38/0.55  ; Trie-index has 63 nodes (63 at peak, 63 added, 0 deleted).
% 0.38/0.55  ; Retrieved 16 generalization terms in 22 calls.
% 0.38/0.55  ; Retrieved 8 instance terms in 8 calls.
% 0.38/0.55  ; Retrieved 2,695 unifiable terms in 901 calls.
% 0.38/0.55  ; 
% 0.38/0.55  ; The agenda of rows to process has 15 entries:
% 0.38/0.55  ;     1 with value 11              3 with value 15               3 with value 18
% 0.38/0.55  ;     1 with value 12              3 with value 16               3 with value 19
% 0.38/0.55  ;     1 with value 14
% 0.38/0.55  ; The agenda of rows to give has 2 entries:
% 0.38/0.55  ;     2 with value (4 9)
% 0.38/0.55  Evaluation took:
% 0.38/0.55    0.038 seconds of real time
% 0.38/0.55    0.030814 seconds of user run time
% 0.38/0.55    0.007083 seconds of system run time
% 0.38/0.55    0 calls to %EVAL
% 0.38/0.55    0 page faults and
% 0.38/0.55    3,041,920 bytes consed.
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T01:26:00
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  * 
%------------------------------------------------------------------------------