TSTP Solution File: CAT033+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Fri Jul 15 00:07:15 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   9 unt;   1 nHn;  11 RR)
%            Number of literals    :   21 (   2 equ;  12 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    v2_cat_1('SKOLEMAAAM1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).

cnf(2,negated_conjecture,
    l1_cat_1('SKOLEMAAAM1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).

cnf(3,negated_conjecture,
    m1_subset_1('SKOLEMAAAM2',u1_cat_1('SKOLEMAAAM1')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).

cnf(4,negated_conjecture,
    ~ m2_cat_1(k20_ens_1('SKOLEMAAAM1','SKOLEMAAAM2'),'SKOLEMAAAM1',k1_yoneda_1('SKOLEMAAAM1')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).

cnf(42,axiom,
    r1_tarski(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

cnf(59,axiom,
    ( ~ v2_cat_1(X)
    | ~ l1_cat_1(X)
    | ~ v1_xboole_0(k17_ens_1(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_ens_1) ).

cnf(67,axiom,
    ( ~ v2_cat_1(X)
    | ~ l1_cat_1(X)
    | k1_yoneda_1(X) = k12_ens_1(k17_ens_1(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yoneda_1) ).

cnf(68,axiom,
    ( v1_xboole_0(X)
    | ~ v2_cat_1(Y)
    | ~ l1_cat_1(Y)
    | ~ m1_subset_1(Z,u1_cat_1(Y))
    | ~ r1_tarski(k17_ens_1(Y),X)
    | m2_cat_1(k20_ens_1(Y,Z),Y,k12_ens_1(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_ens_1) ).

cnf(113,plain,
    ~ v1_xboole_0(k17_ens_1('SKOLEMAAAM1')),
    inference('UR-RESOLVE',[status(thm)],[59,1,2]) ).

cnf(133,plain,
    k1_yoneda_1('SKOLEMAAAM1') = k12_ens_1(k17_ens_1('SKOLEMAAAM1')),
    inference('HYPERRESOLVE',[status(thm)],[67,1,2]) ).

cnf(134,plain,
    ~ m2_cat_1(k20_ens_1('SKOLEMAAAM1','SKOLEMAAAM2'),'SKOLEMAAAM1',k12_ens_1(k17_ens_1('SKOLEMAAAM1'))),
    inference('REWRITE',[status(thm)],[4,133,theory(equality)]) ).

cnf(145,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[68,1,2,3,42,134]),113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 23:52:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45   (USE-FACTORING :POS)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45  * 
% 0.19/0.45  "."
% 0.19/0.45  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T23:52:41
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-29T23:52:41
% 0.19/0.47  WARNING:
% 0.19/0.47     |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.47  WARNING:
% 0.19/0.47     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;       212 formulas have been input or derived (from 62 formulas).
% 0.19/0.49  ;       145 (68%) were retained.  Of these,
% 0.19/0.49  ;            7 ( 5%) were simplified or subsumed later,
% 0.19/0.49  ;          138 (95%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.005  15%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.002   6%   Assert                       (53 calls)
% 0.19/0.49  ;     0.004  12%   Process new row              (192 calls)
% 0.19/0.49  ;     0.001   3%   Resolution                   (122 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (61 calls)
% 0.19/0.49  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.49  ;     0.001   3%   Condensing                   (67 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (67 calls)
% 0.19/0.49  ;     0.002   6%   Backward subsumption         (62 calls)
% 0.19/0.49  ;     0.003   9%   Clause clause subsumption    (39 calls)
% 0.19/0.49  ;     0.001   3%   Forward simplification       (184 calls)
% 0.19/0.49  ;     0.001   3%   Backward simplification      (145 calls)
% 0.19/0.49  ;     0.001   3%   Ordering                     (41 calls)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.012  36%   Other
% 0.19/0.49  ;     0.033        Total
% 0.19/0.49  ;     0.034        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 228 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 62 entries (62 at peak, 62 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 186 nodes (186 at peak, 186 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 28 possibly forward subsuming rows in 67 calls.
% 0.19/0.49  ;  Retrieved 17 possibly backward subsumed rows in 62 calls.
% 0.19/0.49  ; Path-index has 230 entries (230 at peak, 238 added, 8 deleted).
% 0.19/0.49  ; Path-index has 519 nodes (519 at peak, 531 added, 12 deleted).
% 0.19/0.49  ; Trie-index has 230 entries (230 at peak, 238 added, 8 deleted).
% 0.19/0.49  ; Trie-index has 558 nodes (558 at peak, 571 added, 13 deleted).
% 0.19/0.49  ; Retrieved 38 generalization terms in 283 calls.
% 0.19/0.49  ; Retrieved 85 instance terms in 82 calls.
% 0.19/0.49  ; Retrieved 1,827 unifiable terms in 507 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 2 entries:
% 0.19/0.49  ;     1 with value 17              1 with value 20
% 0.19/0.49  ; The agenda of input rows to give has 8 entries:
% 0.19/0.49  ;     2 with value 66              6 with value 77
% 0.19/0.49  ; The agenda of rows to give has 72 entries:
% 0.19/0.49  ;     1 with value (4 4)           7 with value (4 9)            2 with value (4 13)
% 0.19/0.49  ;     3 with value (4 5)          16 with value (4 10)           2 with value (4 14)
% 0.19/0.49  ;    17 with value (4 6)           3 with value (4 11)           3 with value (4 15)
% 0.19/0.49  ;     4 with value (4 7)           1 with value (4 12)           2 with value (4 16)
% 0.19/0.49  ;    11 with value (4 8)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.034 seconds of real time
% 0.19/0.49    0.029871 seconds of user run time
% 0.19/0.49    0.003976 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    4,568,544 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T23:52:41
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------