TSTP Solution File: SET947+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET947+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 05:13:37 EDT 2022

% Result   : Theorem 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   1 nHn;   8 RR)
%            Number of literals    :   14 (   1 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X != powerset(Y)
    | in(Z,X)
    | ~ subset(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

cnf(7,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV2'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(8,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV2'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(9,axiom,
    ( ~ in(X,Y)
    | subset(X,union(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).

cnf(13,negated_conjecture,
    ~ subset('SKOLEMAAAV5',powerset(union('SKOLEMAAAV5'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_zfmisc_1) ).

cnf(14,plain,
    in('SKOLEMAAAV2'('SKOLEMAAAV5',powerset(union('SKOLEMAAAV5'))),'SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[13,7]) ).

cnf(15,plain,
    ~ in('SKOLEMAAAV2'('SKOLEMAAAV5',powerset(union('SKOLEMAAAV5'))),powerset(union('SKOLEMAAAV5'))),
    inference('UR-RESOLVE',[status(thm)],[8,13]) ).

cnf(36,plain,
    subset('SKOLEMAAAV2'('SKOLEMAAAV5',powerset(union('SKOLEMAAAV5'))),union('SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[9,14]) ).

cnf(69,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,15,theory(equality)]),36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 01:14:43 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T01:14:43
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T01:14:43
% 0.39/0.55  
% 0.39/0.55  
% 0.39/0.55  #||
% 0.39/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55  % SZS output start Refutation
% See solution above
% 0.39/0.55  ||#
% 0.39/0.55  
% 0.39/0.55  ; Summary of computation:
% 0.39/0.55  ;       118 formulas have been input or derived (from 28 formulas).
% 0.39/0.55  ;        69 (58%) were retained.  Of these,
% 0.39/0.55  ;           69 (100%) are still being kept.
% 0.39/0.55  ; 
% 0.39/0.55  ; Run time in seconds excluding printing time:
% 0.39/0.55  ;     0.002   5%   Read assertion file          (1 call)
% 0.39/0.55  ;     0.000   0%   Assert                       (8 calls)
% 0.39/0.55  ;     0.003   8%   Process new row              (96 calls)
% 0.39/0.55  ;     0.004  11%   Resolution                   (54 calls)
% 0.39/0.55  ;     0.001   3%   Paramodulation               (27 calls)
% 0.39/0.55  ;     0.000   0%   Factoring                    (2 calls)
% 0.39/0.55  ;     0.001   3%   Condensing                   (15 calls)
% 0.39/0.55  ;     0.000   0%   Forward subsumption          (15 calls)
% 0.39/0.55  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.39/0.55  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.39/0.55  ;     0.000   0%   Forward simplification       (96 calls)
% 0.39/0.55  ;     0.000   0%   Backward simplification      (69 calls)
% 0.39/0.55  ;     0.002   5%   Ordering                     (89 calls)
% 0.39/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.55  ;     0.001   3%   Purity testing               (1 call)
% 0.39/0.55  ;     0.024  63%   Other
% 0.39/0.55  ;     0.038        Total
% 0.39/0.55  ;     0.040        Real time
% 0.39/0.55  ; 
% 0.39/0.55  ; Term-hash-array has 117 terms in all.
% 0.39/0.55  ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.39/0.55  ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.39/0.55  ;  Retrieved 3 possibly forward subsuming rows in 15 calls.
% 0.39/0.55  ;  Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.39/0.55  ; Path-index has 120 entries (120 at peak, 120 added, 0 deleted).
% 0.39/0.55  ; Path-index has 291 nodes (291 at peak, 291 added, 0 deleted).
% 0.39/0.55  ; Trie-index has 120 entries (120 at peak, 120 added, 0 deleted).
% 0.39/0.55  ; Trie-index has 379 nodes (379 at peak, 379 added, 0 deleted).
% 0.39/0.55  ; Retrieved 76 generalization terms in 89 calls.
% 0.39/0.55  ; Retrieved 60 instance terms in 53 calls.
% 0.39/0.55  ; Retrieved 1,040 unifiable terms in 267 calls.
% 0.39/0.55  ; 
% 0.39/0.55  ; The agenda of rows to process has 6 entries:
% 0.39/0.55  ;     1 with value 15              1 with value 22               2 with value 23
% 0.39/0.55  ;     2 with value 17
% 0.39/0.55  ; The agenda of rows to give has 41 entries:
% 0.39/0.55  ;     4 with value (4 14)          6 with value (4 17)           7 with value (4 20)
% 0.39/0.55  ;     4 with value (4 15)          6 with value (4 18)           1 with value (4 22)
% 0.39/0.55  ;    10 with value (4 16)          1 with value (4 19)           2 with value (4 24)
% 0.39/0.55  Evaluation took:
% 0.39/0.55    0.041 seconds of real time
% 0.39/0.55    0.033475 seconds of user run time
% 0.39/0.55    0.007136 seconds of system run time
% 0.39/0.55    0 calls to %EVAL
% 0.39/0.55    0 page faults and
% 0.39/0.55    2,378,360 bytes consed.
% 0.39/0.55  :PROOF-FOUND
% 0.39/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T01:14:43
% 0.39/0.55  :PROOF-FOUND
% 0.39/0.55  * 
%------------------------------------------------------------------------------