TSTP Solution File: SET057-7 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET057-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 05:06:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   1 nHn;   8 RR)
%            Number of literals    :   13 (   2 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X,Y),X)
    | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X,Y),Y)
    | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X,Y)
    | ~ subclass(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(prove_equality2_1,negated_conjecture,
    member(not_subclass_element(x,y),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_1) ).

cnf(prove_equality2_2,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_2) ).

cnf(prove_equality2_3,negated_conjecture,
    ~ member(not_subclass_element(y,x),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_3) ).

cnf(125,plain,
    subclass(y,x),
    inference('UR-RESOLVE',[status(thm)],[not_subclass_members1,prove_equality2_3]) ).

cnf(126,plain,
    subclass(x,y),
    inference('HYPERRESOLVE',[status(thm)],[not_subclass_members2,prove_equality2_1]) ).

cnf(281,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,125,prove_equality2_2]),126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET057-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 22:16:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T22:16:32
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-10T22:16:32
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  #||
% 0.19/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/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  ;       516 formulas have been input or derived (from 102 formulas).
% 0.19/0.57  ;       281 (54%) were retained.  Of these,
% 0.19/0.57  ;           12 ( 4%) were simplified or subsumed later,
% 0.19/0.57  ;          269 (96%) are still being kept.
% 0.19/0.57  ; 
% 0.19/0.57  ; Run time in seconds:
% 0.19/0.57  ;     0.018  16%   Read assertion file          (1 call)
% 0.19/0.57  ;     0.003   3%   Assert                       (100 calls)
% 0.19/0.57  ;     0.029  26%   Process new row              (463 calls)
% 0.19/0.57  ;     0.013  12%   Resolution                   (202 calls)
% 0.19/0.57  ;     0.003   3%   Paramodulation               (101 calls)
% 0.19/0.57  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.57  ;     0.002   2%   Condensing                   (182 calls)
% 0.19/0.57  ;     0.005   5%   Forward subsumption          (182 calls)
% 0.19/0.57  ;     0.004   4%   Backward subsumption         (167 calls)
% 0.19/0.57  ;     0.000   0%   Clause clause subsumption    (111 calls)
% 0.19/0.57  ;     0.005   5%   Forward simplification       (463 calls)
% 0.19/0.57  ;     0.002   2%   Backward simplification      (269 calls)
% 0.19/0.57  ;     0.000   0%   Ordering                     (338 calls)
% 0.19/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.57  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.57  ;     0.025  23%   Other
% 0.19/0.57  ;     0.110        Total
% 0.19/0.57  ;     0.111        Real time
% 0.19/0.57  ; 
% 0.19/0.57  ; Term-hash-array has 747 terms in all.
% 0.19/0.57  ; Feature-vector-row-index has 167 entries (167 at peak, 167 added, 0 deleted).
% 0.19/0.57  ; Feature-vector-row-index has 1,112 nodes (1,112 at peak, 1,112 added, 0 deleted).
% 0.19/0.57  ;  Retrieved 100 possibly forward subsuming rows in 182 calls.
% 0.19/0.57  ;  Retrieved 22 possibly backward subsumed rows in 167 calls.
% 0.19/0.57  ; Path-index has 757 entries (757 at peak, 757 added, 0 deleted).
% 0.19/0.57  ; Path-index has 2,614 nodes (2,614 at peak, 2,614 added, 0 deleted).
% 0.19/0.57  ; Trie-index has 757 entries (757 at peak, 757 added, 0 deleted).
% 0.19/0.57  ; Trie-index has 2,573 nodes (2,573 at peak, 2,573 added, 0 deleted).
% 0.19/0.57  ; Retrieved 388 generalization terms in 1,253 calls.
% 0.19/0.57  ; Retrieved 118 instance terms in 101 calls.
% 0.19/0.57  ; Retrieved 7,112 unifiable terms in 831 calls.
% 0.19/0.57  ; 
% 0.19/0.57  ; The agenda of rows to process has 6 entries:
% 0.19/0.57  ;     1 with value 6               1 with value 12               3 with value 13
% 0.19/0.57  ;     1 with value 9
% 0.19/0.57  ; The agenda of rows to give has 167 entries:
% 0.19/0.57  ;     1 with value (4 5)           7 with value (4 17)           2 with value (4 33)
% 0.19/0.57  ;     1 with value (4 6)           9 with value (4 18)           2 with value (4 34)
% 0.19/0.57  ;     6 with value (4 7)          12 with value (4 19)           2 with value (4 37)
% 0.19/0.57  ;     9 with value (4 8)           6 with value (4 20)           1 with value (4 43)
% 0.19/0.57  ;     4 with value (4 9)           2 with value (4 21)           1 with value (4 44)
% 0.19/0.57  ;     8 with value (4 10)          3 with value (4 22)           1 with value (4 45)
% 0.19/0.57  ;     9 with value (4 11)          4 with value (4 23)           3 with value (4 46)
% 0.19/0.57  ;     5 with value (4 12)          7 with value (4 24)           1 with value (4 49)
% 0.19/0.57  ;    16 with value (4 13)          4 with value (4 26)           1 with value (4 51)
% 0.19/0.57  ;     9 with value (4 14)          3 with value (4 29)           1 with value (4 53)
% 0.19/0.57  ;    13 with value (4 15)          3 with value (4 30)           1 with value (4 59)
% 0.19/0.57  ;     7 with value (4 16)          2 with value (4 31)           1 with value (4 63)
% 0.19/0.57  Evaluation took:
% 0.19/0.57    0.111 seconds of real time
% 0.19/0.57    0.098171 seconds of user run time
% 0.19/0.57    0.013169 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    6,306,096 bytes consed.
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T22:16:32
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  * 
%------------------------------------------------------------------------------