TSTP Solution File: SEU149+3 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU149+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 14:19:32 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   6 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != singleton(Y)
    | ~ in(Z,X)
    | Z = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).

cnf(7,axiom,
    ( X != unordered_pair(Y,Z)
    | in(U,X)
    | U != Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).

cnf(13,negated_conjecture,
    singleton('SKOLEMAAAV5') = unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_zfmisc_1) ).

cnf(14,negated_conjecture,
    'SKOLEMAAAV5' != 'SKOLEMAAAV6',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_zfmisc_1) ).

cnf(16,plain,
    ~ in('SKOLEMAAAV6',singleton('SKOLEMAAAV5')),
    inference('UR-RESOLVE',[status(thm)],[2,14,theory(equality)]) ).

cnf(18,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,13,theory(equality)]),16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU149+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 20 07:09:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T07:09:54
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-20T07:09:54
% 0.20/0.48  
% 0.20/0.48  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.50  ; Declaring unordered_pair to be commutative.
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        40 formulas have been input or derived (from 9 formulas).
% 0.20/0.50  ;        18 (45%) were retained.  Of these,
% 0.20/0.50  ;           18 (100%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   4%   Assert                       (7 calls)
% 0.20/0.50  ;     0.003  11%   Process new row              (27 calls)
% 0.20/0.50  ;     0.001   4%   Resolution                   (16 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (8 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (11 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (11 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (10 calls)
% 0.20/0.50  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (27 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (18 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (14 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.021  75%   Other
% 0.20/0.50  ;     0.028        Total
% 0.20/0.50  ;     0.031        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 29 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 2 possibly forward subsuming rows in 11 calls.
% 0.20/0.50  ;  Retrieved 1 possibly backward subsumed row in 10 calls.
% 0.20/0.50  ; Path-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.20/0.50  ; Path-index has 75 nodes (75 at peak, 75 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 69 nodes (69 at peak, 69 added, 0 deleted).
% 0.20/0.50  ; Retrieved 17 generalization terms in 21 calls.
% 0.20/0.50  ; Retrieved 9 instance terms in 7 calls.
% 0.20/0.50  ; Retrieved 284 unifiable terms in 55 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to process has 10 entries:
% 0.20/0.50  ;     3 with value 7               4 with value 12               2 with value 15
% 0.20/0.50  ;     1 with value 8
% 0.20/0.50  ; The agenda of input rows to give has 6 entries:
% 0.20/0.50  ;     1 with value 19              2 with value 23               1 with value 31
% 0.20/0.50  ;     2 with value 20
% 0.20/0.50  ; The agenda of rows to give has 3 entries:
% 0.20/0.50  ;     3 with value (4 7)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.031 seconds of real time
% 0.20/0.50    0.027799 seconds of user run time
% 0.20/0.50    0.00277 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    1,690,544 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T07:09:54
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------