TSTP Solution File: NUN073+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 16:38:18 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (  17 unt;   0 nHn;  21 RR)
%            Number of literals    :   28 (  11 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   10 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ r1(X)
    | X = 'SKOLEMAAAV1' ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).

cnf(3,axiom,
    ( ~ r2(X,Y)
    | Y = 'SKOLEMAAAV2'(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).

cnf(20,axiom,
    ( ~ r2(X,Y)
    | Y != Z
    | ~ r2(U,Z)
    | X = U ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).

cnf(32,axiom,
    ( ~ r1(X)
    | X != Y
    | ~ r2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).

cnf(33,negated_conjecture,
    r1('SKOLEMAAAV23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).

cnf(34,negated_conjecture,
    r2('SKOLEMAAAV23','SKOLEMAAAV22'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).

cnf(35,negated_conjecture,
    'SKOLEMAAAV22' = 'SKOLEMAAAV21',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).

cnf(36,negated_conjecture,
    r1('SKOLEMAAAV25'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).

cnf(37,negated_conjecture,
    r2('SKOLEMAAAV25','SKOLEMAAAV24'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).

cnf(38,negated_conjecture,
    r2('SKOLEMAAAV24','SKOLEMAAAV21'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).

cnf(39,plain,
    r2('SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('REWRITE',[status(thm)],[34,35,theory(equality)]) ).

cnf(43,plain,
    'SKOLEMAAAV25' = 'SKOLEMAAAV1',
    inference('HYPERRESOLVE',[status(thm)],[1,36]) ).

cnf(44,plain,
    r1('SKOLEMAAAV1'),
    inference('REWRITE',[status(thm)],[36,43,theory(equality)]) ).

cnf(45,plain,
    r2('SKOLEMAAAV1','SKOLEMAAAV24'),
    inference('REWRITE',[status(thm)],[37,43,theory(equality)]) ).

cnf(46,plain,
    'SKOLEMAAAV23' = 'SKOLEMAAAV1',
    inference('HYPERRESOLVE',[status(thm)],[1,33]) ).

cnf(47,plain,
    r2('SKOLEMAAAV1','SKOLEMAAAV21'),
    inference('REWRITE',[status(thm)],[39,46,theory(equality)]) ).

cnf(55,plain,
    'SKOLEMAAAV24' = 'SKOLEMAAAV2'('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[3,45]) ).

cnf(57,plain,
    'SKOLEMAAAV21' = 'SKOLEMAAAV24',
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,47]),55,theory(equality)]) ).

cnf(58,plain,
    r2('SKOLEMAAAV21','SKOLEMAAAV21'),
    inference('REWRITE',[status(thm)],[38,57,theory(equality)]) ).

cnf(69,plain,
    'SKOLEMAAAV1' != 'SKOLEMAAAV21',
    inference('UR-RESOLVE',[status(thm)],[32,44,47]) ).

cnf(102,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[20,47,58,theory(equality)]),69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.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 06:41:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T06:41:44
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-02T06:41:44
% 0.21/0.49  
% 0.21/0.53  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;       219 formulas have been input or derived (from 47 formulas).
% 0.21/0.53  ;       102 (47%) were retained.  Of these,
% 0.21/0.53  ;           39 (38%) were simplified or subsumed later,
% 0.21/0.53  ;           63 (62%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.005  10%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.002   4%   Assert                       (12 calls)
% 0.21/0.53  ;     0.008  17%   Process new row              (158 calls)
% 0.21/0.53  ;     0.006  12%   Resolution                   (92 calls)
% 0.21/0.53  ;     0.001   2%   Paramodulation               (46 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (4 calls)
% 0.21/0.53  ;     0.000   0%   Condensing                   (28 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (28 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (28 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.21/0.53  ;     0.002   4%   Forward simplification       (147 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (101 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (109 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.024  50%   Other
% 0.21/0.53  ;     0.048        Total
% 0.21/0.53  ;     0.050        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 163 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 22 entries (23 at peak, 28 added, 6 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 63 nodes (73 at peak, 85 added, 22 deleted).
% 0.21/0.53  ;  Retrieved 12 possibly forward subsuming rows in 28 calls.
% 0.21/0.53  ;  Retrieved 7 possibly backward subsumed rows in 28 calls.
% 0.21/0.53  ; Path-index has 122 entries (126 at peak, 179 added, 57 deleted).
% 0.21/0.53  ; Path-index has 369 nodes (373 at peak, 443 added, 74 deleted).
% 0.21/0.53  ; Trie-index has 122 entries (126 at peak, 179 added, 57 deleted).
% 0.21/0.53  ; Trie-index has 297 nodes (303 at peak, 430 added, 133 deleted).
% 0.21/0.53  ; Retrieved 51 generalization terms in 200 calls.
% 0.21/0.53  ; Retrieved 79 instance terms in 72 calls.
% 0.21/0.53  ; Retrieved 1,417 unifiable terms in 351 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 29 entries:
% 0.21/0.53  ;     6 with value 5               6 with value 18               4 with value 25
% 0.21/0.53  ;     5 with value 13              1 with value 19               2 with value 31
% 0.21/0.53  ;     1 with value 14              2 with value 24               2 with value 32
% 0.21/0.53  ; The agenda of rows to give has 32 entries:
% 0.21/0.53  ;     1 with value (4 4)           2 with value (4 9)            1 with value (4 15)
% 0.21/0.53  ;     5 with value (4 5)           2 with value (4 10)           2 with value (4 16)
% 0.21/0.53  ;     1 with value (4 6)           2 with value (4 12)           1 with value (4 18)
% 0.21/0.53  ;     7 with value (4 7)           4 with value (4 13)           2 with value (4 22)
% 0.21/0.53  ;     2 with value (4 8)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.051 seconds of real time
% 0.21/0.53    0.043856 seconds of user run time
% 0.21/0.53    0.007044 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    3,336,928 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T06:41:44
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------