TSTP Solution File: SET027+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 05:06:05 EDT 2022

% Result   : Theorem 0.55s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;   9 RR)
%            Number of literals    :   14 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subclass(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).

cnf(2,axiom,
    ( subclass(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).

cnf(3,axiom,
    ( subclass(X,Y)
    | ~ member('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).

cnf(92,negated_conjecture,
    subclass('SKOLEMAAAV8','SKOLEMAAAV9'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

cnf(93,negated_conjecture,
    subclass('SKOLEMAAAV9','SKOLEMAAAV10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

cnf(94,negated_conjecture,
    ~ subclass('SKOLEMAAAV8','SKOLEMAAAV10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

cnf(116,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV8','SKOLEMAAAV10'),'SKOLEMAAAV8'),
    inference('HYPERRESOLVE',[status(thm)],[94,2]) ).

cnf(117,plain,
    ~ member('SKOLEMAAAV1'('SKOLEMAAAV8','SKOLEMAAAV10'),'SKOLEMAAAV10'),
    inference('UR-RESOLVE',[status(thm)],[3,94]) ).

cnf(883,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV8','SKOLEMAAAV10'),'SKOLEMAAAV9'),
    inference('HYPERRESOLVE',[status(thm)],[1,116,92]) ).

cnf(1060,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,117,93]),883]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 20:03:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:03:37
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T20:03:37
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  #||
% 0.55/0.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.76  % SZS output start Refutation
% See solution above
% 0.59/0.76  ||#
% 0.59/0.76  
% 0.59/0.76  ; Summary of computation:
% 0.59/0.76  ;      1922 formulas have been input or derived (from 135 formulas).
% 0.59/0.76  ;      1060 (55%) were retained.  Of these,
% 0.59/0.76  ;           27 ( 3%) were simplified or subsumed later,
% 0.59/0.76  ;         1033 (97%) are still being kept.
% 0.59/0.76  ; 
% 0.59/0.76  ; Run time in seconds:
% 0.59/0.76  ;     0.010   4%   Read assertion file          (1 call)
% 0.59/0.76  ;     0.004   2%   Assert                       (44 calls)
% 0.59/0.76  ;     0.098  37%   Process new row              (1,795 calls)
% 0.59/0.76  ;     0.046  17%   Resolution                   (268 calls)
% 0.59/0.76  ;     0.001   0%   Paramodulation               (134 calls)
% 0.59/0.76  ;     0.000   0%   Factoring                    (6 calls)
% 0.59/0.76  ;     0.009   3%   Condensing                   (614 calls)
% 0.59/0.76  ;     0.017   6%   Forward subsumption          (614 calls)
% 0.59/0.76  ;     0.015   6%   Backward subsumption         (551 calls)
% 0.59/0.76  ;     0.006   2%   Clause clause subsumption    (1,123 calls)
% 0.59/0.76  ;     0.017   6%   Forward simplification       (1,767 calls)
% 0.59/0.76  ;     0.005   2%   Backward simplification      (1,057 calls)
% 0.59/0.76  ;     0.005   2%   Ordering                     (1,257 calls)
% 0.59/0.76  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.59/0.76  ;     0.000   0%   Purity testing               (1 call)
% 0.59/0.76  ;     0.030  11%   Other
% 0.59/0.76  ;     0.264        Total
% 0.59/0.76  ;     0.264        Real time
% 0.59/0.76  ; 
% 0.59/0.76  ; Term-hash-array has 2,194 terms in all.
% 0.59/0.76  ; Feature-vector-row-index has 535 entries (535 at peak, 551 added, 16 deleted).
% 0.59/0.76  ; Feature-vector-row-index has 2,048 nodes (2,048 at peak, 2,110 added, 62 deleted).
% 0.59/0.76  ;  Retrieved 1,077 possibly forward subsuming rows in 614 calls.
% 0.59/0.76  ;  Retrieved 521 possibly backward subsumed rows in 551 calls.
% 0.59/0.76  ; Path-index has 2,175 entries (2,175 at peak, 2,221 added, 46 deleted).
% 0.59/0.76  ; Path-index has 3,122 nodes (3,122 at peak, 3,175 added, 53 deleted).
% 0.59/0.76  ; Trie-index has 2,175 entries (2,175 at peak, 2,221 added, 46 deleted).
% 0.59/0.76  ; Trie-index has 6,053 nodes (6,053 at peak, 6,165 added, 112 deleted).
% 0.59/0.76  ; Retrieved 1,138 generalization terms in 4,362 calls.
% 0.59/0.76  ; Retrieved 524 instance terms in 505 calls.
% 0.59/0.76  ; Retrieved 55,689 unifiable terms in 2,092 calls.
% 0.59/0.76  ; 
% 0.59/0.76  ; The agenda of rows to process has 11 entries:
% 0.59/0.76  ;     2 with value 9               1 with value 12               2 with value 14
% 0.59/0.76  ;     6 with value 11
% 0.59/0.76  ; The agenda of rows to give has 899 entries:
% 0.59/0.76  ;    28 with value (4 8)          39 with value (4 20)           4 with value (4 32)
% 0.59/0.76  ;    31 with value (4 9)          42 with value (4 21)           2 with value (4 33)
% 0.59/0.76  ;    85 with value (4 10)         19 with value (4 22)           1 with value (4 34)
% 0.59/0.76  ;    63 with value (4 11)         20 with value (4 23)           2 with value (4 35)
% 0.59/0.76  ;    35 with value (4 12)         10 with value (4 24)           3 with value (4 38)
% 0.59/0.76  ;    66 with value (4 13)         10 with value (4 25)           6 with value (4 39)
% 0.59/0.76  ;   104 with value (4 14)          6 with value (4 26)           1 with value (4 40)
% 0.59/0.76  ;    81 with value (4 15)          4 with value (4 27)           3 with value (4 41)
% 0.59/0.76  ;    25 with value (4 16)          6 with value (4 28)           2 with value (4 42)
% 0.59/0.76  ;    40 with value (4 17)          2 with value (4 29)           2 with value (4 44)
% 0.59/0.76  ;    65 with value (4 18)          2 with value (4 30)           4 with value (4 45)
% 0.59/0.76  ;    85 with value (4 19)          1 with value (4 31)
% 0.59/0.76  Evaluation took:
% 0.59/0.76    0.265 seconds of real time
% 0.59/0.76    0.237912 seconds of user run time
% 0.59/0.76    0.027696 seconds of system run time
% 0.59/0.76    [Run times include 0.016 seconds GC run time.]
% 0.59/0.76    0 calls to %EVAL
% 0.59/0.76    0 page faults and
% 0.59/0.76    16,251,840 bytes consed.
% 0.59/0.76  :PROOF-FOUND
% 0.59/0.76  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:03:38
% 0.59/0.76  :PROOF-FOUND
% 0.59/0.76  * 
%------------------------------------------------------------------------------