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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU031+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:18:49 EDT 2022

% Result   : Theorem 0.47s 0.68s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   19 (  14 unt;   0 nHn;  19 RR)
%            Number of literals    :   38 (  12 equ;  20 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | relation(function_inverse(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).

cnf(6,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | function(function_inverse(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).

cnf(25,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | ~ relation(Z)
    | ~ function(Z)
    | relation_rng(X) != U
    | relation_composition(X,Y) != identity_relation(relation_dom(Z))
    | relation_composition(Y,Z) != identity_relation(U)
    | Z = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l72_funct_1) ).

cnf(51,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ one_to_one(X)
    | relation_rng(X) = relation_dom(function_inverse(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).

cnf(54,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ one_to_one(X)
    | relation_composition(X,function_inverse(X)) = identity_relation(relation_dom(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1) ).

cnf(56,negated_conjecture,
    relation('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(57,negated_conjecture,
    function('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(58,negated_conjecture,
    relation('SKOLEMAAAV13'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(59,negated_conjecture,
    function('SKOLEMAAAV13'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(60,negated_conjecture,
    one_to_one('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(61,negated_conjecture,
    relation_rng('SKOLEMAAAV13') = relation_dom('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(62,negated_conjecture,
    relation_composition('SKOLEMAAAV13','SKOLEMAAAV12') = identity_relation(relation_rng('SKOLEMAAAV12')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(63,negated_conjecture,
    'SKOLEMAAAV13' != function_inverse('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_funct_1) ).

cnf(94,plain,
    relation(function_inverse('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[5,56,57]) ).

cnf(99,plain,
    function(function_inverse('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[6,56,57]) ).

cnf(215,plain,
    relation_rng('SKOLEMAAAV12') = relation_dom(function_inverse('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[51,56,57,60]) ).

cnf(216,plain,
    relation_composition('SKOLEMAAAV13','SKOLEMAAAV12') = identity_relation(relation_dom(function_inverse('SKOLEMAAAV12'))),
    inference('REWRITE',[status(thm)],[62,215,theory(equality)]) ).

cnf(220,plain,
    relation_composition('SKOLEMAAAV12',function_inverse('SKOLEMAAAV12')) = identity_relation(relation_dom('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[54,56,57,60]) ).

cnf(371,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[25,99,58,59,56,57,94,216,63,theory(equality)]),61,220,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU031+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.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 19:59:54 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 2022-06-19T19:59:54
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T19:59:54
% 0.19/0.49  WARNING:
% 0.19/0.49     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  
% 0.47/0.68  
% 0.47/0.68  #||
% 0.47/0.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.68  % SZS output start Refutation
% See solution above
% 0.47/0.68  ||#
% 0.47/0.68  
% 0.47/0.68  ; Summary of computation:
% 0.47/0.68  ;       855 formulas have been input or derived (from 85 formulas).
% 0.47/0.68  ;       371 (43%) were retained.  Of these,
% 0.47/0.68  ;           21 ( 6%) were simplified or subsumed later,
% 0.47/0.68  ;          350 (94%) are still being kept.
% 0.47/0.68  ; 
% 0.47/0.68  ; Run time in seconds excluding printing time:
% 0.47/0.68  ;     0.008   4%   Read assertion file          (1 call)
% 0.47/0.68  ;     0.002   1%   Assert                       (43 calls)
% 0.47/0.68  ;     0.014   7%   Process new row              (826 calls)
% 0.47/0.68  ;     0.148  70%   Resolution                   (168 calls)
% 0.47/0.68  ;     0.000   0%   Paramodulation               (84 calls)
% 0.47/0.68  ;     0.000   0%   Factoring                    (1 call)
% 0.47/0.68  ;     0.001   0%   Condensing                   (42 calls)
% 0.47/0.68  ;     0.000   0%   Forward subsumption          (42 calls)
% 0.47/0.68  ;     0.002   1%   Backward subsumption         (41 calls)
% 0.47/0.68  ;     0.000   0%   Clause clause subsumption    (13 calls)
% 0.47/0.68  ;     0.006   3%   Forward simplification       (744 calls)
% 0.47/0.68  ;     0.002   1%   Backward simplification      (371 calls)
% 0.47/0.68  ;     0.002   1%   Ordering                     (65 calls)
% 0.47/0.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.68  ;     0.000   0%   Purity testing               (1 call)
% 0.47/0.68  ;     0.027  13%   Other
% 0.47/0.68  ;     0.212        Total
% 0.47/0.68  ;     0.214        Real time
% 0.47/0.68  ; 
% 0.47/0.68  ; Term-hash-array has 609 terms in all.
% 0.47/0.68  ; Feature-vector-row-index has 41 entries (41 at peak, 41 added, 0 deleted).
% 0.47/0.68  ; Feature-vector-row-index has 143 nodes (143 at peak, 143 added, 0 deleted).
% 0.47/0.68  ;  Retrieved 9 possibly forward subsuming rows in 42 calls.
% 0.47/0.68  ;  Retrieved 4 possibly backward subsumed rows in 41 calls.
% 0.47/0.68  ; Path-index has 597 entries (597 at peak, 623 added, 26 deleted).
% 0.47/0.68  ; Path-index has 439 nodes (439 at peak, 468 added, 29 deleted).
% 0.47/0.68  ; Trie-index has 597 entries (597 at peak, 623 added, 26 deleted).
% 0.47/0.68  ; Trie-index has 896 nodes (896 at peak, 941 added, 45 deleted).
% 0.47/0.68  ; Retrieved 408 generalization terms in 1,110 calls.
% 0.47/0.68  ; Retrieved 336 instance terms in 329 calls.
% 0.47/0.68  ; Retrieved 221,268 unifiable terms in 27,505 calls.
% 0.47/0.68  ; 
% 0.47/0.68  ; The agenda of rows to process has 1 entry:
% 0.47/0.68  ;     1 with value 13
% 0.47/0.68  ; The agenda of rows to give has 275 entries:
% 0.47/0.68  ;     4 with value (4 6)          37 with value (4 11)           1 with value (4 16)
% 0.47/0.68  ;    83 with value (4 7)           5 with value (4 12)           1 with value (4 37)
% 0.47/0.68  ;    17 with value (4 8)           1 with value (4 13)           1 with value (4 38)
% 0.47/0.68  ;    33 with value (4 9)           2 with value (4 14)           1 with value (4 41)
% 0.47/0.68  ;    89 with value (4 10)
% 0.47/0.68  Evaluation took:
% 0.47/0.68    0.214 seconds of real time
% 0.47/0.68    0.199584 seconds of user run time
% 0.47/0.68    0.014733 seconds of system run time
% 0.47/0.68    [Run times include 0.007 seconds GC run time.]
% 0.47/0.68    0 calls to %EVAL
% 0.47/0.68    0 page faults and
% 0.47/0.68    15,408,320 bytes consed.
% 0.47/0.68  :PROOF-FOUND
% 0.47/0.68  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T19:59:54
% 0.47/0.68  :PROOF-FOUND
% 0.47/0.68  * 
%------------------------------------------------------------------------------