TSTP Solution File: SEU144+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 14:19:28 EDT 2022

% Result   : Theorem 0.11s 0.37s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   7 unt;   2 nHn;  12 RR)
%            Number of literals    :   24 (   5 equ;  11 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   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != singleton(Y)
    | ~ in(Z,X)
    | Z = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

cnf(3,axiom,
    ( X != singleton(Y)
    | in(Z,X)
    | Z != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

cnf(6,axiom,
    ( ~ subset(X,Y)
    | ~ in(Z,X)
    | in(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(7,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAN2'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(8,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAN2'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(9,negated_conjecture,
    ( ~ subset(singleton('SKOLEMAAAN3'),'SKOLEMAAAN4')
    | ~ in('SKOLEMAAAN3','SKOLEMAAAN4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).

cnf(10,negated_conjecture,
    ( subset(singleton('SKOLEMAAAN3'),'SKOLEMAAAN4')
    | in('SKOLEMAAAN3','SKOLEMAAAN4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).

cnf(12,plain,
    in(X,singleton(X)),
    inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).

cnf(16,plain,
    in('SKOLEMAAAN3','SKOLEMAAAN4'),
    inference('HYPERRESOLVE',[status(thm)],[6,12,10]) ).

cnf(17,plain,
    ~ subset(singleton('SKOLEMAAAN3'),'SKOLEMAAAN4'),
    inference('REWRITE',[status(thm)],[9,16]) ).

cnf(20,plain,
    ~ in('SKOLEMAAAN2'(singleton('SKOLEMAAAN3'),'SKOLEMAAAN4'),'SKOLEMAAAN4'),
    inference('UR-RESOLVE',[status(thm)],[8,17]) ).

cnf(21,plain,
    in('SKOLEMAAAN2'(singleton('SKOLEMAAAN3'),'SKOLEMAAAN4'),singleton('SKOLEMAAAN3')),
    inference('HYPERRESOLVE',[status(thm)],[17,7]) ).

cnf(39,plain,
    'SKOLEMAAAN2'(singleton('SKOLEMAAAN3'),'SKOLEMAAAN4') = 'SKOLEMAAAN3',
    inference('HYPERRESOLVE',[status(thm)],[2,21,theory(equality)]) ).

cnf(40,plain,
    $false,
    inference('REWRITE',[status(thm)],[20,16,39,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.08  % Command  : run-snark %s %d
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 600
% 0.07/0.26  % DateTime : Sun Jun 19 06:08:02 EDT 2022
% 0.07/0.26  % CPUTime  : 
% 0.11/0.34  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35  * 
% 0.11/0.35  * 
% 0.11/0.35  #<PACKAGE "SNARK-USER">
% 0.11/0.35  * 
% 0.11/0.35  SNARK-TPTP-OPTIONS
% 0.11/0.35  * 
% 0.11/0.35  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.35   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.35   (USE-FACTORING :POS)
% 0.11/0.35   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.35   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.35   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.35   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.35   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.35   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.35   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.35   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.35   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.35   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.35  * 
% 0.11/0.35  "."
% 0.11/0.35  * 
% 0.11/0.35  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T06:08:02
% 0.11/0.35  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-19T06:08:02
% 0.11/0.37  
% 0.11/0.37  
% 0.11/0.37  #||
% 0.11/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % SZS output start Refutation
% See solution above
% 0.11/0.38  ||#
% 0.11/0.38  
% 0.11/0.38  ; Summary of computation:
% 0.11/0.38  ;        71 formulas have been input or derived (from 22 formulas).
% 0.11/0.38  ;        40 (56%) were retained.  Of these,
% 0.11/0.38  ;            7 (18%) were simplified or subsumed later,
% 0.11/0.38  ;           33 (82%) are still being kept.
% 0.11/0.38  ; 
% 0.11/0.38  ; Run time in seconds:
% 0.11/0.38  ;     0.000   0%   Read assertion file          (1 call)
% 0.11/0.38  ;     0.001   5%   Assert                       (6 calls)
% 0.11/0.38  ;     0.002  10%   Process new row              (54 calls)
% 0.11/0.38  ;     0.001   5%   Resolution                   (42 calls)
% 0.11/0.38  ;     0.000   0%   Paramodulation               (21 calls)
% 0.11/0.38  ;     0.000   0%   Factoring                    (3 calls)
% 0.11/0.38  ;     0.000   0%   Condensing                   (16 calls)
% 0.11/0.38  ;     0.001   5%   Forward subsumption          (16 calls)
% 0.11/0.38  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.11/0.38  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.11/0.38  ;     0.001   5%   Forward simplification       (54 calls)
% 0.11/0.38  ;     0.000   0%   Backward simplification      (40 calls)
% 0.11/0.38  ;     0.000   0%   Ordering                     (53 calls)
% 0.11/0.38  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.11/0.38  ;     0.000   0%   Purity testing               (1 call)
% 0.11/0.38  ;     0.014  70%   Other
% 0.11/0.38  ;     0.020        Total
% 0.11/0.38  ;     0.020        Real time
% 0.11/0.38  ; 
% 0.11/0.38  ; Term-hash-array has 63 terms in all.
% 0.11/0.38  ; Feature-vector-row-index has 12 entries (13 at peak, 15 added, 3 deleted).
% 0.11/0.38  ; Feature-vector-row-index has 42 nodes (64 at peak, 73 added, 31 deleted).
% 0.11/0.38  ;  Retrieved 4 possibly forward subsuming rows in 16 calls.
% 0.11/0.38  ;  Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.11/0.38  ; Path-index has 56 entries (61 at peak, 67 added, 11 deleted).
% 0.11/0.38  ; Path-index has 114 nodes (122 at peak, 129 added, 15 deleted).
% 0.11/0.38  ; Trie-index has 56 entries (61 at peak, 67 added, 11 deleted).
% 0.11/0.38  ; Trie-index has 119 nodes (137 at peak, 153 added, 34 deleted).
% 0.11/0.38  ; Retrieved 35 generalization terms in 43 calls.
% 0.11/0.38  ; Retrieved 29 instance terms in 24 calls.
% 0.11/0.38  ; Retrieved 668 unifiable terms in 195 calls.
% 0.11/0.38  ; 
% 0.11/0.38  ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.11/0.38  ;     3 with value 0
% 0.11/0.38  ; The agenda of rows to process has 5 entries:
% 0.11/0.38  ;     3 with value 12              1 with value 18               1 with value 21
% 0.11/0.38  ; The agenda of rows to give has 15 entries:
% 0.11/0.38  ;     4 with value (4 11)          3 with value (4 14)           1 with value (4 26)
% 0.11/0.38  ;     3 with value (4 12)          1 with value (4 15)           1 with value (4 28)
% 0.11/0.38  ;     1 with value (4 13)          1 with value (4 16)
% 0.11/0.38  Evaluation took:
% 0.11/0.38    0.02 seconds of real time
% 0.11/0.38    0.01915 seconds of user run time
% 0.11/0.38    0.001783 seconds of system run time
% 0.11/0.38    0 calls to %EVAL
% 0.11/0.38    0 page faults and
% 0.11/0.38    2,443,920 bytes consed.
% 0.11/0.38  :PROOF-FOUND
% 0.11/0.38  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T06:08:02
% 0.11/0.38  :PROOF-FOUND
% 0.11/0.38  * 
%------------------------------------------------------------------------------