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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET932+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 05:13:32 EDT 2022

% Result   : Theorem 0.36s 0.54s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   1 nHn;  11 RR)
%            Number of literals    :   20 (   2 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != powerset(Y)
    | ~ in(Z,X)
    | subset(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).

cnf(3,axiom,
    ( X != powerset(Y)
    | in(Z,X)
    | ~ subset(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).

cnf(7,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV2'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(8,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV2'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(12,axiom,
    ( ~ subset(X,Y)
    | ~ subset(Y,Z)
    | subset(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

cnf(13,negated_conjecture,
    subset('SKOLEMAAAV5','SKOLEMAAAV6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_zfmisc_1) ).

cnf(14,negated_conjecture,
    ~ subset(powerset('SKOLEMAAAV5'),powerset('SKOLEMAAAV6')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_zfmisc_1) ).

cnf(15,plain,
    in('SKOLEMAAAV2'(powerset('SKOLEMAAAV5'),powerset('SKOLEMAAAV6')),powerset('SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[14,7]) ).

cnf(16,plain,
    ~ in('SKOLEMAAAV2'(powerset('SKOLEMAAAV5'),powerset('SKOLEMAAAV6')),powerset('SKOLEMAAAV6')),
    inference('UR-RESOLVE',[status(thm)],[8,14]) ).

cnf(45,plain,
    subset('SKOLEMAAAV2'(powerset('SKOLEMAAAV5'),powerset('SKOLEMAAAV6')),'SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[2,15,theory(equality)]) ).

cnf(48,plain,
    ~ subset('SKOLEMAAAV2'(powerset('SKOLEMAAAV5'),powerset('SKOLEMAAAV6')),'SKOLEMAAAV6'),
    inference('UR-RESOLVE',[status(thm)],[3,16,theory(equality)]) ).

cnf(67,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,45,13]),48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET932+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n012.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 05:13:43 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-11T05:13:43
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T05:13:43
% 0.36/0.54  
% 0.36/0.54  
% 0.36/0.54  #||
% 0.36/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.54  % SZS output start Refutation
% See solution above
% 0.36/0.54  ||#
% 0.36/0.54  
% 0.36/0.54  ; Summary of computation:
% 0.36/0.54  ;       149 formulas have been input or derived (from 31 formulas).
% 0.36/0.54  ;        67 (45%) were retained.  Of these,
% 0.36/0.54  ;           67 (100%) are still being kept.
% 0.36/0.54  ; 
% 0.36/0.54  ; Run time in seconds excluding printing time:
% 0.36/0.54  ;     0.002   4%   Read assertion file          (1 call)
% 0.36/0.54  ;     0.001   2%   Assert                       (8 calls)
% 0.36/0.54  ;     0.004   9%   Process new row              (118 calls)
% 0.36/0.54  ;     0.009  20%   Resolution                   (60 calls)
% 0.36/0.54  ;     0.001   2%   Paramodulation               (30 calls)
% 0.36/0.54  ;     0.000   0%   Factoring                    (4 calls)
% 0.36/0.54  ;     0.000   0%   Condensing                   (46 calls)
% 0.36/0.54  ;     0.003   7%   Forward subsumption          (46 calls)
% 0.36/0.54  ;     0.001   2%   Backward subsumption         (32 calls)
% 0.36/0.54  ;     0.000   0%   Clause clause subsumption    (88 calls)
% 0.36/0.54  ;     0.001   2%   Forward simplification       (118 calls)
% 0.36/0.54  ;     0.001   2%   Backward simplification      (67 calls)
% 0.36/0.54  ;     0.000   0%   Ordering                     (175 calls)
% 0.36/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.36/0.54  ;     0.022  49%   Other
% 0.36/0.54  ;     0.045        Total
% 0.36/0.54  ;     0.059        Real time
% 0.36/0.54  ; 
% 0.36/0.54  ; Term-hash-array has 125 terms in all.
% 0.36/0.54  ; Feature-vector-row-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.36/0.54  ; Feature-vector-row-index has 169 nodes (169 at peak, 169 added, 0 deleted).
% 0.36/0.54  ;  Retrieved 96 possibly forward subsuming rows in 46 calls.
% 0.36/0.54  ;  Retrieved 5 possibly backward subsumed rows in 32 calls.
% 0.36/0.54  ; Path-index has 129 entries (129 at peak, 129 added, 0 deleted).
% 0.36/0.54  ; Path-index has 202 nodes (202 at peak, 202 added, 0 deleted).
% 0.36/0.54  ; Trie-index has 129 entries (129 at peak, 129 added, 0 deleted).
% 0.36/0.54  ; Trie-index has 265 nodes (265 at peak, 265 added, 0 deleted).
% 0.36/0.54  ; Retrieved 104 generalization terms in 168 calls.
% 0.36/0.54  ; Retrieved 49 instance terms in 34 calls.
% 0.36/0.54  ; Retrieved 1,343 unifiable terms in 319 calls.
% 0.36/0.54  ; 
% 0.36/0.54  ; The agenda of rows to process has 14 entries:
% 0.36/0.54  ;     3 with value 13              2 with value 16               1 with value 41
% 0.36/0.54  ;     3 with value 14              5 with value 20
% 0.36/0.54  ; The agenda of rows to give has 36 entries:
% 0.36/0.54  ;     1 with value (4 10)          5 with value (4 16)           1 with value (4 21)
% 0.36/0.54  ;     1 with value (4 12)          2 with value (4 17)           3 with value (4 22)
% 0.36/0.54  ;     2 with value (4 13)          2 with value (4 18)           2 with value (4 28)
% 0.36/0.54  ;     1 with value (4 14)          1 with value (4 19)           3 with value (4 29)
% 0.36/0.54  ;     8 with value (4 15)          3 with value (4 20)           1 with value (4 43)
% 0.36/0.54  Evaluation took:
% 0.36/0.54    0.06 seconds of real time
% 0.36/0.54    0.038702 seconds of user run time
% 0.36/0.54    0.008826 seconds of system run time
% 0.36/0.54    0 calls to %EVAL
% 0.36/0.54    0 page faults and
% 0.36/0.54    2,808,848 bytes consed.
% 0.36/0.54  :PROOF-FOUND
% 0.36/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T05:13:43
% 0.36/0.54  :PROOF-FOUND
% 0.36/0.54  * 
%------------------------------------------------------------------------------