TSTP Solution File: SET997+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET997+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 05:13:54 EDT 2022

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   8 unt;   1 nHn;  12 RR)
%            Number of literals    :   22 (   4 equ;  10 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(6,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(9,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | Y != relation_rng(X)
    | in(Z,Y)
    | ~ in(U,relation_dom(X))
    | Z != apply(X,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).

cnf(37,negated_conjecture,
    relation('SKOLEMAAAV15'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_funct_1) ).

cnf(38,negated_conjecture,
    function('SKOLEMAAAV15'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_funct_1) ).

cnf(39,negated_conjecture,
    ( ~ in(X,'SKOLEMAAAV14')
    | in('SKOLEMAAAV16'(X),relation_dom('SKOLEMAAAV15')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_funct_1) ).

cnf(40,negated_conjecture,
    ( ~ in(X,'SKOLEMAAAV14')
    | X = apply('SKOLEMAAAV15','SKOLEMAAAV16'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_funct_1) ).

cnf(41,negated_conjecture,
    ~ subset('SKOLEMAAAV14',relation_rng('SKOLEMAAAV15')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_funct_1) ).

cnf(77,plain,
    in('SKOLEMAAAV1'('SKOLEMAAAV14',relation_rng('SKOLEMAAAV15')),'SKOLEMAAAV14'),
    inference('HYPERRESOLVE',[status(thm)],[41,5]) ).

cnf(79,plain,
    ~ in('SKOLEMAAAV1'('SKOLEMAAAV14',relation_rng('SKOLEMAAAV15')),relation_rng('SKOLEMAAAV15')),
    inference('UR-RESOLVE',[status(thm)],[6,41]) ).

cnf(210,plain,
    in('SKOLEMAAAV16'('SKOLEMAAAV1'('SKOLEMAAAV14',relation_rng('SKOLEMAAAV15'))),relation_dom('SKOLEMAAAV15')),
    inference('HYPERRESOLVE',[status(thm)],[39,77]) ).

cnf(212,plain,
    'SKOLEMAAAV1'('SKOLEMAAAV14',relation_rng('SKOLEMAAAV15')) = apply('SKOLEMAAAV15','SKOLEMAAAV16'('SKOLEMAAAV1'('SKOLEMAAAV14',relation_rng('SKOLEMAAAV15')))),
    inference('HYPERRESOLVE',[status(thm)],[40,77]) ).

cnf(907,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,210,37,38,theory(equality),theory(equality)]),79,212,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET997+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jul  9 19:31:40 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T19:31:40
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-09T19:31:40
% 0.21/0.53  WARNING:
% 0.21/0.53     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.75  
% 0.55/0.75  
% 0.55/0.75  #||
% 0.55/0.75  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75  % SZS output start Refutation
% See solution above
% 0.55/0.75  ||#
% 0.55/0.75  
% 0.55/0.75  ; Summary of computation:
% 0.55/0.75  ;      2293 formulas have been input or derived (from 320 formulas).
% 0.55/0.75  ;       907 (40%) were retained.  Of these,
% 0.55/0.75  ;           56 ( 6%) were simplified or subsumed later,
% 0.55/0.75  ;          851 (94%) are still being kept.
% 0.55/0.75  ; 
% 0.55/0.75  ; Run time in seconds excluding printing time:
% 0.55/0.75  ;     0.006   3%   Read assertion file          (1 call)
% 0.55/0.75  ;     0.002   1%   Assert                       (32 calls)
% 0.55/0.76  ;     0.063  27%   Process new row              (1,949 calls)
% 0.55/0.76  ;     0.080  34%   Resolution                   (638 calls)
% 0.55/0.76  ;     0.006   3%   Paramodulation               (319 calls)
% 0.55/0.76  ;     0.000   0%   Factoring                    (7 calls)
% 0.55/0.76  ;     0.001   0%   Condensing                   (171 calls)
% 0.55/0.76  ;     0.008   3%   Forward subsumption          (171 calls)
% 0.55/0.76  ;     0.004   2%   Backward subsumption         (162 calls)
% 0.55/0.76  ;     0.002   1%   Clause clause subsumption    (92 calls)
% 0.55/0.76  ;     0.021   9%   Forward simplification       (1,903 calls)
% 0.55/0.76  ;     0.008   3%   Backward simplification      (907 calls)
% 0.55/0.76  ;     0.000   0%   Ordering                     (398 calls)
% 0.55/0.76  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.55/0.76  ;     0.000   0%   Purity testing               (1 call)
% 0.55/0.76  ;     0.033  14%   Other
% 0.55/0.76  ;     0.235        Total
% 0.55/0.76  ;     0.250        Real time
% 0.55/0.76  ; 
% 0.55/0.76  ; Term-hash-array has 1,370 terms in all.
% 0.55/0.76  ; Feature-vector-row-index has 149 entries (149 at peak, 162 added, 13 deleted).
% 0.55/0.76  ; Feature-vector-row-index has 914 nodes (914 at peak, 1,032 added, 118 deleted).
% 0.55/0.76  ;  Retrieved 104 possibly forward subsuming rows in 171 calls.
% 0.55/0.76  ;  Retrieved 7 possibly backward subsumed rows in 162 calls.
% 0.55/0.76  ; Path-index has 1,313 entries (1,313 at peak, 1,406 added, 93 deleted).
% 0.55/0.76  ; Path-index has 2,005 nodes (2,005 at peak, 2,096 added, 91 deleted).
% 0.55/0.76  ; Trie-index has 1,313 entries (1,313 at peak, 1,406 added, 93 deleted).
% 0.55/0.76  ; Trie-index has 3,580 nodes (3,580 at peak, 3,820 added, 240 deleted).
% 0.55/0.76  ; Retrieved 1,654 generalization terms in 3,072 calls.
% 0.55/0.76  ; Retrieved 786 instance terms in 744 calls.
% 0.55/0.76  ; Retrieved 47,199 unifiable terms in 8,982 calls.
% 0.55/0.76  ; 
% 0.55/0.76  ; The agenda of rows to process has 3 entries:
% 0.55/0.76  ;     2 with value 20              1 with value 24
% 0.55/0.76  ; The agenda of rows to give has 542 entries:
% 0.55/0.76  ;    71 with value (4 14)         48 with value (4 20)           2 with value (4 25)
% 0.55/0.76  ;    85 with value (4 15)         16 with value (4 21)           5 with value (4 26)
% 0.55/0.76  ;    82 with value (4 16)         19 with value (4 22)           5 with value (4 27)
% 0.55/0.76  ;    46 with value (4 17)         15 with value (4 23)           2 with value (4 28)
% 0.55/0.76  ;    68 with value (4 18)         16 with value (4 24)           1 with value (4 29)
% 0.55/0.76  ;    61 with value (4 19)
% 0.55/0.76  Evaluation took:
% 0.55/0.76    0.251 seconds of real time
% 0.55/0.76    0.216344 seconds of user run time
% 0.55/0.76    0.033065 seconds of system run time
% 0.55/0.76    [Run times include 0.013 seconds GC run time.]
% 0.55/0.76    0 calls to %EVAL
% 0.55/0.76    0 page faults and
% 0.55/0.76    12,582,552 bytes consed.
% 0.55/0.76  :PROOF-FOUND
% 0.55/0.76  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T19:31:41
% 0.55/0.76  :PROOF-FOUND
% 0.55/0.76  * 
%------------------------------------------------------------------------------