TSTP Solution File: SET583+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 05:10:32 EDT 2022

% Result   : Theorem 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   2 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

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

cnf(7,negated_conjecture,
    subset('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_extensionality) ).

cnf(8,negated_conjecture,
    subset('SKOLEMAAAV3','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_extensionality) ).

cnf(9,negated_conjecture,
    'SKOLEMAAAV2' != 'SKOLEMAAAV3',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_extensionality) ).

cnf(10,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[2,9,7,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jul  9 16:47:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45  * 
% 0.17/0.45  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.46   (USE-FACTORING :POS)
% 0.17/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.46  * 
% 0.17/0.46  "."
% 0.17/0.46  * 
% 0.17/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T16:47:56
% 0.17/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-09T16:47:56
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  #||
% 0.17/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48  % SZS output start Refutation
% See solution above
% 0.17/0.48  ||#
% 0.17/0.48  
% 0.17/0.48  ; Summary of computation:
% 0.17/0.48  ;        31 formulas have been input or derived (from 9 formulas).
% 0.17/0.48  ;        10 (32%) were retained.  Of these,
% 0.17/0.48  ;           10 (100%) are still being kept.
% 0.17/0.48  ; 
% 0.17/0.48  ; Run time in seconds excluding printing time:
% 0.17/0.48  ;     0.002   7%   Read assertion file          (1 call)
% 0.17/0.48  ;     0.000   0%   Assert                       (4 calls)
% 0.17/0.48  ;     0.002   7%   Process new row              (12 calls)
% 0.17/0.48  ;     0.001   4%   Resolution                   (16 calls)
% 0.17/0.48  ;     0.000   0%   Paramodulation               (8 calls)
% 0.17/0.48  ;     0.000   0%   Factoring                    (1 call)
% 0.17/0.48  ;     0.000   0%   Condensing                   (6 calls)
% 0.17/0.48  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.17/0.48  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.17/0.48  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.17/0.48  ;     0.000   0%   Forward simplification       (12 calls)
% 0.17/0.48  ;     0.000   0%   Backward simplification      (10 calls)
% 0.17/0.48  ;     0.000   0%   Ordering                     (2 calls)
% 0.17/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.48  ;     0.022  81%   Other
% 0.17/0.48  ;     0.027        Total
% 0.17/0.48  ;     0.028        Real time
% 0.17/0.48  ; 
% 0.17/0.48  ; Term-hash-array has 12 terms in all.
% 0.17/0.48  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.17/0.48  ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.17/0.48  ;  Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.17/0.48  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.17/0.48  ; Path-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.17/0.48  ; Path-index has 31 nodes (31 at peak, 31 added, 0 deleted).
% 0.17/0.48  ; Trie-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.17/0.48  ; Trie-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.17/0.48  ; Retrieved 3 generalization terms in 3 calls.
% 0.17/0.48  ; Retrieved 6 instance terms in 4 calls.
% 0.17/0.48  ; Retrieved 91 unifiable terms in 45 calls.
% 0.17/0.48  ; 
% 0.17/0.48  ; The agenda of rows to process has 14 entries:
% 0.17/0.48  ;     7 with value 5               6 with value 12               1 with value 19
% 0.17/0.48  ; The agenda of input rows to give has 1 entry:
% 0.17/0.48  ;     1 with value 12
% 0.17/0.48  Evaluation took:
% 0.17/0.48    0.028 seconds of real time
% 0.17/0.48    0.021175 seconds of user run time
% 0.17/0.48    0.006999 seconds of system run time
% 0.17/0.48    0 calls to %EVAL
% 0.17/0.48    0 page faults and
% 0.17/0.48    1,453,128 bytes consed.
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T16:47:56
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  * 
%------------------------------------------------------------------------------