TSTP Solution File: PHI015+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% 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 : Mon Jul 18 16:48:45 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   21 (  13 unt;   3 nHn;  21 RR)
%            Number of literals    :   48 (   6 equ;  26 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ exemplifies_property(X,Y)
    | property(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).

cnf(5,axiom,
    ( ~ is_the(X,Y)
    | object(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).

cnf(21,axiom,
    ( ~ property(X)
    | ~ object(Y)
    | ~ object(Z)
    | ~ is_the(Y,X)
    | Y != Z
    | ~ object(U)
    | ~ exemplifies_property(X,U)
    | U = 'SKOLEMAAAU3'(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_identity_instance) ).

cnf(22,axiom,
    ( ~ property(X)
    | ~ object(Y)
    | ~ object(Z)
    | ~ is_the(Y,X)
    | Y != Z
    | 'SKOLEMAAAU3'(X,Z) = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_identity_instance) ).

cnf(31,axiom,
    ( ~ object(X)
    | ~ exemplifies_property(none_greater,X)
    | ~ object(Y)
    | ~ exemplifies_relation(greater_than,Y,X)
    | ~ exemplifies_property(conceivable,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).

cnf(35,axiom,
    object('SKOLEMAAAU6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).

cnf(36,axiom,
    exemplifies_property(none_greater,'SKOLEMAAAU6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).

cnf(37,axiom,
    ( ~ object(X)
    | ~ is_the(X,none_greater)
    | exemplifies_property(existence,X)
    | object('SKOLEMAAAU7'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

cnf(38,axiom,
    ( ~ object(X)
    | ~ is_the(X,none_greater)
    | exemplifies_property(existence,X)
    | exemplifies_relation(greater_than,'SKOLEMAAAU7'(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

cnf(39,axiom,
    ( ~ object(X)
    | ~ is_the(X,none_greater)
    | exemplifies_property(existence,X)
    | exemplifies_property(conceivable,'SKOLEMAAAU7'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

cnf(40,axiom,
    is_the(god,none_greater),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).

cnf(41,negated_conjecture,
    ~ exemplifies_property(existence,god),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).

cnf(43,plain,
    property(none_greater),
    inference('HYPERRESOLVE',[status(thm)],[2,36]) ).

cnf(44,plain,
    object(god),
    inference('HYPERRESOLVE',[status(thm)],[5,40]) ).

cnf(54,plain,
    object('SKOLEMAAAU7'(god)),
    inference('UR-RESOLVE',[status(thm)],[37,44,40,41]) ).

cnf(56,plain,
    exemplifies_property(conceivable,'SKOLEMAAAU7'(god)),
    inference('UR-RESOLVE',[status(thm)],[39,44,40,41]) ).

cnf(57,plain,
    'SKOLEMAAAU3'(none_greater,god) = god,
    inference('HYPERRESOLVE',[status(thm)],[22,44,43,44,40,theory(equality)]) ).

cnf(58,plain,
    'SKOLEMAAAU6' = god,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[21,44,43,44,40,35,36,theory(equality)]),57,theory(equality)]) ).

cnf(59,plain,
    exemplifies_property(none_greater,god),
    inference('REWRITE',[status(thm)],[36,58,theory(equality)]) ).

cnf(63,plain,
    exemplifies_relation(greater_than,'SKOLEMAAAU7'(god),god),
    inference('UR-RESOLVE',[status(thm)],[38,44,40,41]) ).

cnf(98,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,56,44,59,54]),63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% 0.11/0.13  % 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 : Thu Jun  2 01:08:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T01:08:16
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-02T01:08:16
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  #||
% 0.19/0.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.56  % SZS output start Refutation
% See solution above
% 0.19/0.56  ||#
% 0.19/0.56  
% 0.19/0.56  ; Summary of computation:
% 0.19/0.56  ;       237 formulas have been input or derived (from 56 formulas).
% 0.19/0.56  ;        98 (41%) were retained.  Of these,
% 0.19/0.56  ;           18 (18%) were simplified or subsumed later,
% 0.19/0.56  ;           80 (82%) are still being kept.
% 0.19/0.56  ; 
% 0.19/0.56  ; Run time in seconds excluding printing time:
% 0.19/0.56  ;     0.003   3%   Read assertion file          (1 call)
% 0.19/0.56  ;     0.002   2%   Assert                       (11 calls)
% 0.19/0.56  ;     0.002   2%   Process new row              (194 calls)
% 0.19/0.56  ;     0.043  49%   Resolution                   (110 calls)
% 0.19/0.56  ;     0.000   0%   Paramodulation               (55 calls)
% 0.19/0.56  ;     0.004   5%   Condensing                   (58 calls)
% 0.19/0.56  ;     0.000   0%   Forward subsumption          (58 calls)
% 0.19/0.56  ;     0.002   2%   Backward subsumption         (58 calls)
% 0.19/0.56  ;     0.000   0%   Clause clause subsumption    (32 calls)
% 0.19/0.56  ;     0.005   6%   Forward simplification       (182 calls)
% 0.19/0.56  ;     0.000   0%   Backward simplification      (95 calls)
% 0.19/0.56  ;     0.001   1%   Ordering                     (45 calls)
% 0.19/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.56  ;     0.026  30%   Other
% 0.19/0.56  ;     0.088        Total
% 0.19/0.56  ;     0.090        Real time
% 0.19/0.56  ; 
% 0.19/0.56  ; Term-hash-array has 118 terms in all.
% 0.19/0.56  ; Feature-vector-row-index has 54 entries (54 at peak, 58 added, 4 deleted).
% 0.19/0.56  ; Feature-vector-row-index has 219 nodes (219 at peak, 240 added, 21 deleted).
% 0.19/0.56  ;  Retrieved 35 possibly forward subsuming rows in 58 calls.
% 0.19/0.56  ;  Retrieved 5 possibly backward subsumed rows in 58 calls.
% 0.19/0.56  ; Path-index has 106 entries (106 at peak, 124 added, 18 deleted).
% 0.19/0.56  ; Path-index has 187 nodes (187 at peak, 215 added, 28 deleted).
% 0.19/0.56  ; Trie-index has 106 entries (106 at peak, 124 added, 18 deleted).
% 0.19/0.56  ; Trie-index has 185 nodes (185 at peak, 220 added, 35 deleted).
% 0.19/0.56  ; Retrieved 91 generalization terms in 223 calls.
% 0.19/0.56  ; Retrieved 36 instance terms in 36 calls.
% 0.19/0.56  ; Retrieved 37,821 unifiable terms in 6,741 calls.
% 0.19/0.56  ; 
% 0.19/0.56  ; The agenda of rows to process has 23 entries:
% 0.19/0.56  ;     4 with value 15              6 with value 17               2 with value 19
% 0.19/0.56  ;     5 with value 16              6 with value 18
% 0.19/0.56  ; The agenda of rows to give has 27 entries:
% 0.19/0.56  ;     3 with value (4 8)           2 with value (4 13)           8 with value (4 15)
% 0.19/0.56  ;     3 with value (4 9)           2 with value (4 14)           8 with value (4 16)
% 0.19/0.56  ;     1 with value (4 10)
% 0.19/0.56  Evaluation took:
% 0.19/0.56    0.09 seconds of real time
% 0.19/0.56    0.084186 seconds of user run time
% 0.19/0.56    0.006337 seconds of system run time
% 0.19/0.56    0 calls to %EVAL
% 0.19/0.56    0 page faults and
% 0.19/0.56    6,067,416 bytes consed.
% 0.19/0.56  :PROOF-FOUND
% 0.19/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T01:08:16
% 0.19/0.56  :PROOF-FOUND
% 0.19/0.56  * 
%------------------------------------------------------------------------------