TSTP Solution File: SET803+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% 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 05:12:15 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  12 unt;   0 nHn;  16 RR)
%            Number of literals    :   23 (   3 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(76,axiom,
    ( ~ greatest(X,Y,Z)
    | member(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',greatest) ).

cnf(77,axiom,
    ( ~ greatest(X,Y,Z)
    | ~ member(U,Z)
    | apply(Y,U,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',greatest) ).

cnf(84,axiom,
    ( ~ max(X,Y,Z)
    | member(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',max) ).

cnf(85,axiom,
    ( ~ max(X,Y,Z)
    | ~ member(U,Z)
    | ~ apply(Y,X,U)
    | X = U ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',max) ).

cnf(107,negated_conjecture,
    max('SKOLEMAAAT19','SKOLEMAAAT17','SKOLEMAAAT18'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV15) ).

cnf(108,negated_conjecture,
    max('SKOLEMAAAT20','SKOLEMAAAT17','SKOLEMAAAT18'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV15) ).

cnf(109,negated_conjecture,
    'SKOLEMAAAT19' != 'SKOLEMAAAT20',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV15) ).

cnf(110,negated_conjecture,
    greatest('SKOLEMAAAT21','SKOLEMAAAT17','SKOLEMAAAT18'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV15) ).

cnf(111,plain,
    member('SKOLEMAAAT21','SKOLEMAAAT18'),
    inference('HYPERRESOLVE',[status(thm)],[76,110]) ).

cnf(112,plain,
    member('SKOLEMAAAT19','SKOLEMAAAT18'),
    inference('HYPERRESOLVE',[status(thm)],[84,107]) ).

cnf(113,plain,
    member('SKOLEMAAAT20','SKOLEMAAAT18'),
    inference('HYPERRESOLVE',[status(thm)],[84,108]) ).

cnf(148,plain,
    apply('SKOLEMAAAT17','SKOLEMAAAT19','SKOLEMAAAT21'),
    inference('HYPERRESOLVE',[status(thm)],[77,112,110]) ).

cnf(149,plain,
    ~ apply('SKOLEMAAAT17','SKOLEMAAAT20','SKOLEMAAAT19'),
    inference('UR-RESOLVE',[status(thm)],[85,112,108,109]) ).

cnf(169,plain,
    apply('SKOLEMAAAT17','SKOLEMAAAT20','SKOLEMAAAT21'),
    inference('HYPERRESOLVE',[status(thm)],[77,113,110]) ).

cnf(189,plain,
    'SKOLEMAAAT19' = 'SKOLEMAAAT21',
    inference('HYPERRESOLVE',[status(thm)],[85,148,107,111]) ).

cnf(191,plain,
    $false,
    inference('REWRITE',[status(thm)],[169,149,189,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n026.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 Jul 11 04:01:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:01:27
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T04:01:27
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  #||
% 0.19/0.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57  % SZS output start Refutation
% See solution above
% 0.19/0.57  ||#
% 0.19/0.57  
% 0.19/0.57  ; Summary of computation:
% 0.19/0.57  ;       305 formulas have been input or derived (from 117 formulas).
% 0.19/0.57  ;       191 (63%) were retained.  Of these,
% 0.19/0.57  ;           23 (12%) were simplified or subsumed later,
% 0.19/0.57  ;          168 (88%) are still being kept.
% 0.19/0.57  ; 
% 0.19/0.57  ; Run time in seconds excluding printing time:
% 0.19/0.57  ;     0.006   5%   Read assertion file          (1 call)
% 0.19/0.57  ;     0.003   3%   Assert                       (11 calls)
% 0.19/0.57  ;     0.019  17%   Process new row              (270 calls)
% 0.19/0.57  ;     0.044  40%   Resolution                   (232 calls)
% 0.19/0.57  ;     0.000   0%   Paramodulation               (116 calls)
% 0.19/0.57  ;     0.000   0%   Factoring                    (22 calls)
% 0.19/0.57  ;     0.001   1%   Condensing                   (191 calls)
% 0.19/0.57  ;     0.004   4%   Forward subsumption          (191 calls)
% 0.19/0.57  ;     0.001   1%   Backward subsumption         (173 calls)
% 0.19/0.57  ;     0.000   0%   Clause clause subsumption    (53 calls)
% 0.19/0.57  ;     0.006   5%   Forward simplification       (270 calls)
% 0.19/0.57  ;     0.003   3%   Backward simplification      (191 calls)
% 0.19/0.57  ;     0.000   0%   Ordering                     (358 calls)
% 0.19/0.57  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.19/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.57  ;     0.022  20%   Other
% 0.19/0.57  ;     0.110        Total
% 0.19/0.57  ;     0.112        Real time
% 0.19/0.57  ; 
% 0.19/0.57  ; Term-hash-array has 227 terms in all.
% 0.19/0.57  ; Feature-vector-row-index has 155 entries (173 at peak, 173 added, 18 deleted).
% 0.19/0.57  ; Feature-vector-row-index has 534 nodes (599 at peak, 599 added, 65 deleted).
% 0.19/0.57  ;  Retrieved 95 possibly forward subsuming rows in 191 calls.
% 0.19/0.57  ;  Retrieved 43 possibly backward subsumed rows in 173 calls.
% 0.19/0.57  ; Path-index has 198 entries (231 at peak, 232 added, 34 deleted).
% 0.19/0.57  ; Path-index has 579 nodes (608 at peak, 609 added, 30 deleted).
% 0.19/0.57  ; Trie-index has 198 entries (231 at peak, 232 added, 34 deleted).
% 0.19/0.57  ; Trie-index has 521 nodes (587 at peak, 589 added, 68 deleted).
% 0.19/0.57  ; Retrieved 36 generalization terms in 413 calls.
% 0.19/0.57  ; Retrieved 17 instance terms in 17 calls.
% 0.19/0.57  ; Retrieved 35,127 unifiable terms in 2,938 calls.
% 0.19/0.57  ; 
% 0.19/0.57  ; The agenda of rows to process has 13 entries:
% 0.19/0.57  ;     1 with value 8              12 with value 29
% 0.19/0.57  ; The agenda of input rows to give has 1 entry:
% 0.19/0.57  ;     1 with value 5
% 0.19/0.57  ; The agenda of rows to give has 54 entries:
% 0.19/0.57  ;     4 with value (4 7)           4 with value (4 16)          12 with value (4 28)
% 0.19/0.57  ;     2 with value (4 12)          4 with value (4 25)          12 with value (4 33)
% 0.19/0.57  ;    12 with value (4 15)          4 with value (4 26)
% 0.19/0.57  Evaluation took:
% 0.19/0.57    0.112 seconds of real time
% 0.19/0.57    0.103818 seconds of user run time
% 0.19/0.57    0.008185 seconds of system run time
% 0.19/0.57    0 calls to %EVAL
% 0.19/0.57    0 page faults and
% 0.19/0.57    5,589,584 bytes consed.
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:01:27
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  * 
%------------------------------------------------------------------------------