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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU368+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 : Tue Jul 19 14:22:01 EDT 2022

% Result   : Theorem 19.29s 19.46s
% Output   : Refutation 19.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (  14 unt;   0 nHn;  10 RR)
%            Number of literals    :   31 (  15 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   28 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(45,axiom,
    ( ~ relation_of2(X,Y,Y)
    | rel_str_of(Y,X) != rel_str_of(Z,U)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).

cnf(46,axiom,
    ( ~ relation_of2(X,Y,Y)
    | rel_str_of(Y,X) != rel_str_of(Z,U)
    | X = U ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).

cnf(47,axiom,
    ( ~ rel_str(X)
    | ~ strict_rel_str(X)
    | X = rel_str_of(the_carrier(X),the_InternalRel(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).

cnf(51,axiom,
    ( ~ relation_of2_as_subset(X,Y,Z)
    | relation_of2(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

cnf(68,axiom,
    relation_of2_as_subset(inclusion_order(X),X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_1) ).

cnf(69,axiom,
    strict_rel_str(incl_POSet(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).

cnf(70,axiom,
    rel_str(incl_POSet(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).

cnf(71,axiom,
    ( ~ rel_str(X)
    | relation_of2_as_subset(the_InternalRel(X),the_carrier(X),the_carrier(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).

cnf(75,axiom,
    incl_POSet(X) = rel_str_of(X,inclusion_order(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow_1) ).

cnf(76,negated_conjecture,
    ( the_carrier(incl_POSet('SKOLEMAAAN14')) != 'SKOLEMAAAN14'
    | the_InternalRel(incl_POSet('SKOLEMAAAN14')) != inclusion_order('SKOLEMAAAN14') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_yellow_1) ).

cnf(95,plain,
    relation_of2(inclusion_order(X),X,X),
    inference('HYPERRESOLVE',[status(thm)],[51,68]) ).

cnf(114,plain,
    relation_of2_as_subset(the_InternalRel(incl_POSet(X)),the_carrier(incl_POSet(X)),the_carrier(incl_POSet(X))),
    inference('HYPERRESOLVE',[status(thm)],[71,70]) ).

cnf(124,plain,
    incl_POSet(X) = rel_str_of(the_carrier(incl_POSet(X)),the_InternalRel(incl_POSet(X))),
    inference('HYPERRESOLVE',[status(thm)],[47,70,69]) ).

cnf(132,plain,
    ( incl_POSet(X) != rel_str_of(Y,Z)
    | X = Y ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[45,75,theory(equality)]),95]) ).

cnf(20133,plain,
    relation_of2(the_InternalRel(incl_POSet(X)),the_carrier(incl_POSet(X)),the_carrier(incl_POSet(X))),
    inference('HYPERRESOLVE',[status(thm)],[51,114]) ).

cnf(74256,plain,
    X = the_carrier(incl_POSet(X)),
    inference('HYPERRESOLVE',[status(thm)],[132,124]) ).

cnf(74305,plain,
    incl_POSet(X) = rel_str_of(X,the_InternalRel(incl_POSet(X))),
    inference('REWRITE',[status(thm)],[124,74256,theory(equality)]) ).

cnf(74308,plain,
    relation_of2(the_InternalRel(incl_POSet(X)),X,X),
    inference('REWRITE',[status(thm)],[20133,74256,theory(equality)]) ).

cnf(74314,plain,
    the_InternalRel(incl_POSet('SKOLEMAAAN14')) != inclusion_order('SKOLEMAAAN14'),
    inference('REWRITE',[status(thm)],[76,74256,theory(equality)]) ).

cnf(74324,plain,
    incl_POSet('SKOLEMAAAN14') != rel_str_of(X,inclusion_order('SKOLEMAAAN14')),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[46,74308,74314]),74305,theory(equality)]) ).

cnf(74333,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[74324,75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU368+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.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 : Sun Jun 19 19:12:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T19:12:14
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-19T19:12:14
% 0.20/0.47  WARNING:
% 0.20/0.47     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 19.29/19.46  
% 19.29/19.46  
% 19.29/19.46  #||
% 19.29/19.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.29/19.46  % SZS output start Refutation
% See solution above
% 19.29/19.46  ||#
% 19.29/19.46  
% 19.29/19.46  ; Summary of computation:
% 19.29/19.46  ;     89211 formulas have been input or derived (from 623 formulas).
% 19.29/19.46  ;     74333 (83%) were retained.  Of these,
% 19.29/19.46  ;        13089 (18%) were simplified or subsumed later,
% 19.29/19.46  ;        61244 (82%) are still being kept.
% 19.29/19.46  ; 
% 19.29/19.46  ; Run time in seconds excluding printing time:
% 19.29/19.46  ;     0.005   0%   Read assertion file          (1 call)
% 19.29/19.46  ;     0.001   0%   Assert                       (53 calls)
% 19.29/19.46  ;     7.785  41%   Process new row              (88,623 calls)
% 19.29/19.46  ;     5.781  30%   Resolution                   (1,244 calls)
% 19.29/19.46  ;     0.055   0%   Paramodulation               (622 calls)
% 19.29/19.46  ;     0.000   0%   Factoring                    (11 calls)
% 19.29/19.46  ;     0.001   0%   Condensing                   (99 calls)
% 19.29/19.46  ;     0.000   0%   Forward subsumption          (99 calls)
% 19.29/19.46  ;     0.002   0%   Backward subsumption         (88 calls)
% 19.29/19.46  ;     0.000   0%   Clause clause subsumption    (28 calls)
% 19.29/19.46  ;     1.144   6%   Forward simplification       (88,579 calls)
% 19.29/19.46  ;     3.931  21%   Backward simplification      (74,333 calls)
% 19.29/19.46  ;     0.000   0%   Ordering                     (135 calls)
% 19.29/19.46  ;     0.000   0%   Sortal reasoning             (32 calls)
% 19.29/19.46  ;     0.001   0%   Purity testing               (1 call)
% 19.29/19.46  ;     0.286   2%   Other
% 19.29/19.46  ;    18.992        Total
% 19.29/19.46  ;    18.997        Real time
% 19.29/19.46  ; 
% 19.29/19.46  ; Term-hash-array has 148,268 terms in all.
% 19.29/19.46  ; Feature-vector-row-index has 73 entries (73 at peak, 88 added, 15 deleted).
% 19.29/19.46  ; Feature-vector-row-index has 313 nodes (313 at peak, 367 added, 54 deleted).
% 19.29/19.46  ;  Retrieved 19 possibly forward subsuming rows in 99 calls.
% 19.29/19.46  ;  Retrieved 13 possibly backward subsumed rows in 88 calls.
% 19.29/19.46  ; Path-index has 122,147 entries (148,151 at peak, 148,290 added, 26,143 deleted).
% 19.29/19.46  ; Path-index has 9,385 nodes (9,915 at peak, 10,100 added, 715 deleted).
% 19.29/19.46  ; Trie-index has 122,147 entries (148,151 at peak, 148,290 added, 26,143 deleted).
% 19.29/19.46  ; Trie-index has 276,870 nodes (330,978 at peak, 331,593 added, 54,723 deleted).
% 19.29/19.46  ; Retrieved 16,337 generalization terms in 99,123 calls.
% 19.29/19.46  ; Retrieved 74,327 instance terms in 74,244 calls.
% 19.29/19.46  ; Retrieved 12,947,093 unifiable terms in 83,325 calls.
% 19.29/19.46  ; 
% 19.29/19.46  ; The agenda of rows to process has 12 entries:
% 19.29/19.46  ;     1 with value 11              1 with value 21               1 with value 26
% 19.29/19.46  ;     1 with value 17              3 with value 23               2 with value 28
% 19.29/19.46  ;     2 with value 18              1 with value 24
% 19.29/19.46  ; The agenda of rows to give has 60660 entries:
% 19.29/19.46  ;     1 with value (4 13)       5677 with value (4 20)          50 with value (4 27)
% 19.29/19.46  ;     5 with value (4 14)       9045 with value (4 21)          33 with value (4 28)
% 19.29/19.46  ;   359 with value (4 15)      15527 with value (4 22)          39 with value (4 29)
% 19.29/19.46  ;   622 with value (4 16)      17043 with value (4 23)          34 with value (4 30)
% 19.29/19.46  ;  1255 with value (4 17)       5103 with value (4 24)         171 with value (4 31)
% 19.29/19.46  ;  1862 with value (4 18)         80 with value (4 25)           3 with value (4 32)
% 19.29/19.46  ;  3664 with value (4 19)         44 with value (4 26)          43 with value (4 33)
% 19.29/19.46  Evaluation took:
% 19.29/19.46    19.001 seconds of real time
% 19.29/19.46    17.957209 seconds of user run time
% 19.29/19.46    1.040585 seconds of system run time
% 19.29/19.46    [Run times include 4.773 seconds GC run time.]
% 19.29/19.46    0 calls to %EVAL
% 19.29/19.46    0 page faults and
% 19.29/19.46    952,606,864 bytes consed.
% 19.29/19.46  :PROOF-FOUND
% 19.29/19.46  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T19:12:33
% 19.29/19.46  :PROOF-FOUND
% 19.29/19.46  * 
%------------------------------------------------------------------------------