TSTP Solution File: SET688+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET688+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 05:11:34 EDT 2022

% Result   : Theorem 0.42s 0.60s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  10 unt;   1 nHn;  14 RR)
%            Number of literals    :   22 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subset(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(2,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(3,axiom,
    ( subset(X,Y)
    | ~ member('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(5,axiom,
    ( ~ equal_set(X,Y)
    | subset(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

cnf(6,axiom,
    ( equal_set(X,Y)
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

cnf(30,negated_conjecture,
    subset('SKOLEMAAAV4','SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI04) ).

cnf(32,negated_conjecture,
    subset('SKOLEMAAAV5','SKOLEMAAAV6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI04) ).

cnf(33,negated_conjecture,
    ~ equal_set('SKOLEMAAAV5','SKOLEMAAAV6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI04) ).

cnf(34,negated_conjecture,
    equal_set('SKOLEMAAAV4','SKOLEMAAAV6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI04) ).

cnf(36,plain,
    subset('SKOLEMAAAV6','SKOLEMAAAV4'),
    inference('HYPERRESOLVE',[status(thm)],[5,34]) ).

cnf(47,plain,
    ~ subset('SKOLEMAAAV6','SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[6,33,32]) ).

cnf(49,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV5'),'SKOLEMAAAV6'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,32,2]),33]) ).

cnf(85,plain,
    ~ member('SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV5'),'SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[3,47]) ).

cnf(313,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV5'),'SKOLEMAAAV4'),
    inference('HYPERRESOLVE',[status(thm)],[1,49,36]) ).

cnf(588,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,85,30]),313]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET688+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 21:15:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T21:15:52
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T21:15:52
% 0.42/0.60  
% 0.42/0.60  
% 0.42/0.60  #||
% 0.42/0.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.60  % SZS output start Refutation
% See solution above
% 0.42/0.60  ||#
% 0.42/0.60  
% 0.42/0.60  ; Summary of computation:
% 0.42/0.60  ;      1031 formulas have been input or derived (from 75 formulas).
% 0.42/0.60  ;       588 (57%) were retained.  Of these,
% 0.42/0.60  ;           24 ( 4%) were simplified or subsumed later,
% 0.42/0.60  ;          564 (96%) are still being kept.
% 0.42/0.60  ; 
% 0.42/0.60  ; Run time in seconds excluding printing time:
% 0.42/0.60  ;     0.004   3%   Read assertion file          (1 call)
% 0.42/0.60  ;     0.000   0%   Assert                       (12 calls)
% 0.42/0.60  ;     0.040  33%   Process new row              (932 calls)
% 0.42/0.60  ;     0.026  21%   Resolution                   (148 calls)
% 0.42/0.60  ;     0.000   0%   Paramodulation               (74 calls)
% 0.42/0.60  ;     0.000   0%   Factoring                    (2 calls)
% 0.42/0.60  ;     0.002   2%   Condensing                   (103 calls)
% 0.42/0.60  ;     0.002   2%   Forward subsumption          (103 calls)
% 0.42/0.60  ;     0.000   0%   Backward subsumption         (103 calls)
% 0.42/0.60  ;     0.000   0%   Clause clause subsumption    (99 calls)
% 0.42/0.60  ;     0.012  10%   Forward simplification       (932 calls)
% 0.42/0.60  ;     0.004   3%   Backward simplification      (588 calls)
% 0.42/0.60  ;     0.002   2%   Ordering                     (144 calls)
% 0.42/0.60  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.42/0.60  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.60  ;     0.028  23%   Other
% 0.42/0.60  ;     0.121        Total
% 0.42/0.60  ;     0.123        Real time
% 0.42/0.60  ; 
% 0.42/0.60  ; Term-hash-array has 1,135 terms in all.
% 0.42/0.60  ; Feature-vector-row-index has 97 entries (99 at peak, 103 added, 6 deleted).
% 0.42/0.60  ; Feature-vector-row-index has 354 nodes (385 at peak, 406 added, 52 deleted).
% 0.42/0.60  ;  Retrieved 78 possibly forward subsuming rows in 103 calls.
% 0.42/0.60  ;  Retrieved 23 possibly backward subsumed rows in 103 calls.
% 0.42/0.60  ; Path-index has 1,101 entries (1,101 at peak, 1,139 added, 38 deleted).
% 0.42/0.60  ; Path-index has 1,638 nodes (1,638 at peak, 1,659 added, 21 deleted).
% 0.42/0.60  ; Trie-index has 1,101 entries (1,101 at peak, 1,139 added, 38 deleted).
% 0.42/0.60  ; Trie-index has 2,647 nodes (2,647 at peak, 2,730 added, 83 deleted).
% 0.42/0.60  ; Retrieved 378 generalization terms in 1,019 calls.
% 0.42/0.60  ; Retrieved 531 instance terms in 484 calls.
% 0.42/0.60  ; Retrieved 20,568 unifiable terms in 938 calls.
% 0.42/0.60  ; 
% 0.42/0.60  ; The agenda of rows to process has 32 entries:
% 0.42/0.60  ;     1 with value 10              5 with value 13               1 with value 17
% 0.42/0.60  ;     1 with value 11              5 with value 14               2 with value 18
% 0.42/0.60  ;     9 with value 12              8 with value 15
% 0.42/0.60  ; The agenda of rows to give has 489 entries:
% 0.42/0.60  ;    32 with value (4 9)          17 with value (4 16)           7 with value (4 23)
% 0.42/0.60  ;    29 with value (4 10)         11 with value (4 17)           1 with value (4 24)
% 0.42/0.60  ;    57 with value (4 11)         10 with value (4 18)           2 with value (4 25)
% 0.42/0.60  ;    79 with value (4 12)          7 with value (4 19)           1 with value (4 26)
% 0.42/0.60  ;   111 with value (4 13)          3 with value (4 20)           1 with value (4 27)
% 0.42/0.60  ;   105 with value (4 14)          4 with value (4 21)           2 with value (4 30)
% 0.42/0.60  ;     6 with value (4 15)          4 with value (4 22)
% 0.42/0.60  Evaluation took:
% 0.42/0.60    0.123 seconds of real time
% 0.42/0.60    0.113165 seconds of user run time
% 0.42/0.60    0.009888 seconds of system run time
% 0.42/0.60    0 calls to %EVAL
% 0.42/0.60    0 page faults and
% 0.42/0.60    7,168,632 bytes consed.
% 0.42/0.60  :PROOF-FOUND
% 0.42/0.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T21:15:52
% 0.42/0.60  :PROOF-FOUND
% 0.42/0.60  * 
%------------------------------------------------------------------------------