TSTP Solution File: NUM390+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:10:11 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   18 (  12 unt;   1 nHn;  18 RR)
%            Number of literals    :   29 (   2 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ ordinal(X)
    | epsilon_transitive(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).

cnf(6,axiom,
    ( ~ epsilon_transitive(X)
    | ~ in(Y,X)
    | subset(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).

cnf(11,axiom,
    ( proper_subset(X,Y)
    | ~ subset(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).

cnf(25,axiom,
    ( ~ subset(X,Y)
    | ~ subset(Y,Z)
    | subset(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).

cnf(26,axiom,
    ( ~ epsilon_transitive(X)
    | ~ ordinal(Y)
    | ~ proper_subset(X,Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_ordinal1) ).

cnf(27,negated_conjecture,
    epsilon_transitive('SKOLEMAAAV14'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_ordinal1) ).

cnf(29,negated_conjecture,
    ordinal('SKOLEMAAAV16'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_ordinal1) ).

cnf(30,negated_conjecture,
    subset('SKOLEMAAAV14','SKOLEMAAAV15'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_ordinal1) ).

cnf(31,negated_conjecture,
    in('SKOLEMAAAV15','SKOLEMAAAV16'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_ordinal1) ).

cnf(32,negated_conjecture,
    ~ in('SKOLEMAAAV14','SKOLEMAAAV16'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_ordinal1) ).

cnf(40,axiom,
    ( ~ in(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_ordinal1) ).

cnf(42,plain,
    epsilon_transitive('SKOLEMAAAV16'),
    inference('HYPERRESOLVE',[status(thm)],[3,29]) ).

cnf(53,plain,
    ~ in('SKOLEMAAAV15','SKOLEMAAAV14'),
    inference('UR-RESOLVE',[status(thm)],[40,30]) ).

cnf(68,plain,
    ~ proper_subset('SKOLEMAAAV14','SKOLEMAAAV16'),
    inference('UR-RESOLVE',[status(thm)],[26,27,29,32]) ).

cnf(70,plain,
    subset('SKOLEMAAAV15','SKOLEMAAAV16'),
    inference('HYPERRESOLVE',[status(thm)],[6,42,31]) ).

cnf(79,plain,
    subset('SKOLEMAAAV14','SKOLEMAAAV16'),
    inference('HYPERRESOLVE',[status(thm)],[25,70,30]) ).

cnf(101,plain,
    'SKOLEMAAAV14' = 'SKOLEMAAAV16',
    inference('UR-RESOLVE',[status(thm)],[11,79,68]) ).

cnf(103,plain,
    $false,
    inference('REWRITE',[status(thm)],[31,53,101,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.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 : Wed Jul  6 07:12:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T07:12:29
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-06T07:12:29
% 0.20/0.50  WARNING:
% 0.20/0.50     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       276 formulas have been input or derived (from 72 formulas).
% 0.20/0.53  ;       103 (37%) were retained.  Of these,
% 0.20/0.53  ;           33 (32%) were simplified or subsumed later,
% 0.20/0.53  ;           70 (68%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.006  12%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.002   4%   Assert                       (38 calls)
% 0.20/0.53  ;     0.005  10%   Process new row              (218 calls)
% 0.20/0.53  ;     0.005  10%   Resolution                   (142 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (71 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.53  ;     0.000   0%   Condensing                   (31 calls)
% 0.20/0.53  ;     0.000   0%   Forward subsumption          (31 calls)
% 0.20/0.53  ;     0.001   2%   Backward subsumption         (30 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.20/0.53  ;     0.003   6%   Forward simplification       (192 calls)
% 0.20/0.53  ;     0.002   4%   Backward simplification      (103 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (28 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.53  ;     0.024  49%   Other
% 0.20/0.53  ;     0.049        Total
% 0.20/0.53  ;     0.051        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 129 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 29 entries (30 at peak, 30 added, 1 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 73 nodes (77 at peak, 77 added, 4 deleted).
% 0.20/0.53  ;  Retrieved 3 possibly forward subsuming rows in 31 calls.
% 0.20/0.53  ;  Retrieved 2 possibly backward subsumed rows in 30 calls.
% 0.20/0.53  ; Path-index has 99 entries (135 at peak, 139 added, 40 deleted).
% 0.20/0.53  ; Path-index has 144 nodes (175 at peak, 179 added, 35 deleted).
% 0.20/0.53  ; Trie-index has 99 entries (135 at peak, 139 added, 40 deleted).
% 0.20/0.53  ; Trie-index has 154 nodes (209 at peak, 213 added, 59 deleted).
% 0.20/0.53  ; Retrieved 132 generalization terms in 190 calls.
% 0.20/0.53  ; Retrieved 88 instance terms in 72 calls.
% 0.20/0.53  ; Retrieved 1,554 unifiable terms in 652 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of backward simplifiable rows to process has 27 entries:
% 0.20/0.53  ;    27 with value 0
% 0.20/0.53  ; The agenda of rows to process has 3 entries:
% 0.20/0.53  ;     1 with value 8               1 with value 10               1 with value 12
% 0.20/0.53  ; The agenda of input rows to give has 1 entry:
% 0.20/0.53  ;     1 with value 3
% 0.20/0.53  ; The agenda of rows to give has 18 entries:
% 0.20/0.53  ;     8 with value (4 8)           2 with value (4 10)           2 with value (4 13)
% 0.20/0.53  ;     3 with value (4 9)           2 with value (4 11)           1 with value (4 18)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.052 seconds of real time
% 0.20/0.53    0.043544 seconds of user run time
% 0.20/0.53    0.008104 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,172,760 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T07:12:29
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------