TSTP Solution File: SEU120+2 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:19:13 EDT 2022

% Result   : Theorem 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   4 unt;   2 nHn;  10 RR)
%            Number of literals    :   18 (   6 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != empty_set
    | ~ in(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

cnf(3,axiom,
    ( X = empty_set
    | in('SKOLEMAAAU1'(X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

cnf(9,axiom,
    ( ~ disjoint(X,Y)
    | set_intersection2(X,Y) = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).

cnf(10,axiom,
    ( disjoint(X,Y)
    | set_intersection2(X,Y) != empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).

cnf(18,negated_conjecture,
    ( ~ disjoint('SKOLEMAAAU6','SKOLEMAAAU7')
    | in('SKOLEMAAAU8',set_intersection2('SKOLEMAAAU6','SKOLEMAAAU7')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).

cnf(20,negated_conjecture,
    ( ~ in(X,set_intersection2('SKOLEMAAAU6','SKOLEMAAAU7'))
    | disjoint('SKOLEMAAAU6','SKOLEMAAAU7') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).

cnf(21,plain,
    ~ in(X,empty_set),
    inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).

cnf(25,plain,
    ( set_intersection2('SKOLEMAAAU6','SKOLEMAAAU7') = empty_set
    | disjoint('SKOLEMAAAU6','SKOLEMAAAU7') ),
    inference('HYPERRESOLVE',[status(thm)],[20,3]) ).

cnf(58,plain,
    set_intersection2('SKOLEMAAAU6','SKOLEMAAAU7') = empty_set,
    inference('HYPERRESOLVE',[status(thm)],[9,25]) ).

cnf(59,plain,
    ~ disjoint('SKOLEMAAAU6','SKOLEMAAAU7'),
    inference('REWRITE',[status(thm)],[18,21,58,theory(equality)]) ).

cnf(64,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,59]),58,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n023.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 13:48:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-19T13:48:34
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-19T13:48:34
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.49  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.49  ; Declaring set_intersection2 to be commutative.
% 0.19/0.55  ; Declaring disjoint to be commutative.
% 0.19/0.55  
% 0.19/0.55  #||
% 0.19/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.55  % SZS output start Refutation
% See solution above
% 0.19/0.55  ||#
% 0.19/0.55  
% 0.19/0.55  ; Summary of computation:
% 0.19/0.55  ;       424 formulas have been input or derived (from 27 formulas).
% 0.19/0.55  ;        64 (15%) were retained.  Of these,
% 0.19/0.55  ;           19 (30%) were simplified or subsumed later,
% 0.19/0.55  ;           45 (70%) are still being kept.
% 0.19/0.55  ; 
% 0.19/0.55  ; Run time in seconds:
% 0.19/0.55  ;     0.003   4%   Read assertion file          (1 call)
% 0.19/0.55  ;     0.001   1%   Assert                       (14 calls)
% 0.19/0.55  ;     0.005   6%   Process new row              (322 calls)
% 0.19/0.55  ;     0.015  18%   Resolution                   (52 calls)
% 0.19/0.55  ;     0.002   2%   Paramodulation               (26 calls)
% 0.19/0.55  ;     0.000   0%   Factoring                    (6 calls)
% 0.19/0.55  ;     0.004   5%   Condensing                   (226 calls)
% 0.19/0.55  ;     0.009  11%   Forward subsumption          (226 calls)
% 0.19/0.55  ;     0.000   0%   Backward subsumption         (48 calls)
% 0.19/0.55  ;     0.001   1%   Clause clause subsumption    (412 calls)
% 0.19/0.55  ;     0.010  12%   Forward simplification       (313 calls)
% 0.19/0.55  ;     0.001   1%   Backward simplification      (64 calls)
% 0.19/0.55  ;     0.001   1%   Ordering                     (674 calls)
% 0.19/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.55  ;     0.030  37%   Other
% 0.19/0.55  ;     0.082        Total
% 0.19/0.55  ;     0.083        Real time
% 0.19/0.55  ; 
% 0.19/0.55  ; Term-hash-array has 102 terms in all.
% 0.19/0.55  ; Feature-vector-row-index has 31 entries (46 at peak, 48 added, 17 deleted).
% 0.19/0.55  ; Feature-vector-row-index has 62 nodes (163 at peak, 164 added, 102 deleted).
% 0.19/0.55  ;  Retrieved 783 possibly forward subsuming rows in 226 calls.
% 0.19/0.55  ;  Retrieved 57 possibly backward subsumed rows in 48 calls.
% 0.19/0.55  ; Path-index has 91 entries (101 at peak, 114 added, 23 deleted).
% 0.19/0.55  ; Path-index has 111 nodes (123 at peak, 140 added, 29 deleted).
% 0.19/0.55  ; Trie-index has 91 entries (101 at peak, 114 added, 23 deleted).
% 0.19/0.55  ; Trie-index has 175 nodes (209 at peak, 233 added, 58 deleted).
% 0.19/0.55  ; Retrieved 461 generalization terms in 812 calls.
% 0.19/0.55  ; Retrieved 19 instance terms in 15 calls.
% 0.19/0.55  ; Retrieved 4,021 unifiable terms in 360 calls.
% 0.19/0.55  ; 
% 0.19/0.55  ; The agenda of rows to give has 22 entries:
% 0.19/0.55  ;     4 with value (4 8)           4 with value (4 16)           1 with value (4 26)
% 0.19/0.55  ;     1 with value (4 9)           1 with value (4 17)           2 with value (4 32)
% 0.19/0.55  ;     3 with value (4 13)          2 with value (4 18)           2 with value (4 33)
% 0.19/0.55  ;     1 with value (4 14)          1 with value (4 21)
% 0.19/0.55  Evaluation took:
% 0.19/0.55    0.083 seconds of real time
% 0.19/0.55    0.070194 seconds of user run time
% 0.19/0.55    0.012899 seconds of system run time
% 0.19/0.55    0 calls to %EVAL
% 0.19/0.55    0 page faults and
% 0.19/0.55    4,450,496 bytes consed.
% 0.19/0.55  :PROOF-FOUND
% 0.19/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T13:48:34
% 0.19/0.55  :PROOF-FOUND
% 0.19/0.55  * 
%------------------------------------------------------------------------------