TSTP Solution File: SET084-6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 05:07:05 EDT 2022

% Result   : Unsatisfiable 0.42s 0.61s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   7 unt;   1 nHn;   6 RR)
%            Number of literals    :   12 (   5 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(unordered_pair_member,axiom,
    ( ~ member(X,unordered_pair(Y,Z))
    | X = Y
    | X = Z ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(unordered_pair2,axiom,
    ( ~ member(X,universal_class)
    | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(singleton_set,axiom,
    unordered_pair(X,X) = singleton(X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(prove_singleton_identified_by_element2_1,negated_conjecture,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

cnf(prove_singleton_identified_by_element2_2,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

cnf(prove_singleton_identified_by_element2_3,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).

cnf(124,plain,
    member(y,unordered_pair(y,X)),
    inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_singleton_identified_by_element2_2]) ).

cnf(177,plain,
    ~ member(y,singleton(x)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_singleton_identified_by_element2_3,prove_singleton_identified_by_element2_3]),singleton_set,theory(equality)]) ).

cnf(493,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[124,singleton_set,theory(equality)]),177,prove_singleton_identified_by_element2_1,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n007.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 : Sun Jul 10 16:46:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:46:32
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T16:46:32
% 0.42/0.61  
% 0.42/0.61  
% 0.42/0.61  #||
% 0.42/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.61  % SZS output start Refutation
% See solution above
% 0.42/0.61  ||#
% 0.42/0.61  
% 0.42/0.61  ; Summary of computation:
% 0.42/0.61  ;       978 formulas have been input or derived (from 111 formulas).
% 0.42/0.61  ;       493 (50%) were retained.  Of these,
% 0.42/0.61  ;           13 ( 3%) were simplified or subsumed later,
% 0.42/0.61  ;          480 (97%) are still being kept.
% 0.42/0.61  ; 
% 0.42/0.61  ; Run time in seconds:
% 0.42/0.61  ;     0.017  12%   Read assertion file          (1 call)
% 0.42/0.61  ;     0.002   1%   Assert                       (94 calls)
% 0.42/0.61  ;     0.043  31%   Process new row              (840 calls)
% 0.42/0.61  ;     0.024  17%   Resolution                   (220 calls)
% 0.42/0.61  ;     0.005   4%   Paramodulation               (110 calls)
% 0.42/0.61  ;     0.000   0%   Factoring                    (3 calls)
% 0.42/0.61  ;     0.003   2%   Condensing                   (210 calls)
% 0.42/0.61  ;     0.006   4%   Forward subsumption          (210 calls)
% 0.42/0.61  ;     0.004   3%   Backward subsumption         (197 calls)
% 0.42/0.61  ;     0.000   0%   Clause clause subsumption    (104 calls)
% 0.42/0.61  ;     0.006   4%   Forward simplification       (840 calls)
% 0.42/0.61  ;     0.001   1%   Backward simplification      (481 calls)
% 0.42/0.61  ;     0.000   0%   Ordering                     (410 calls)
% 0.42/0.61  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.42/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.61  ;     0.027  19%   Other
% 0.42/0.61  ;     0.139        Total
% 0.42/0.61  ;     0.140        Real time
% 0.42/0.61  ; 
% 0.42/0.61  ; Term-hash-array has 1,138 terms in all.
% 0.42/0.61  ; Feature-vector-row-index has 197 entries (197 at peak, 197 added, 0 deleted).
% 0.42/0.61  ; Feature-vector-row-index has 1,291 nodes (1,291 at peak, 1,291 added, 0 deleted).
% 0.42/0.61  ;  Retrieved 94 possibly forward subsuming rows in 210 calls.
% 0.42/0.61  ;  Retrieved 32 possibly backward subsumed rows in 197 calls.
% 0.42/0.61  ; Path-index has 1,147 entries (1,147 at peak, 1,148 added, 1 deleted).
% 0.42/0.61  ; Path-index has 2,915 nodes (2,915 at peak, 2,916 added, 1 deleted).
% 0.42/0.61  ; Trie-index has 1,147 entries (1,147 at peak, 1,148 added, 1 deleted).
% 0.42/0.61  ; Trie-index has 3,610 nodes (3,610 at peak, 3,611 added, 1 deleted).
% 0.42/0.61  ; Retrieved 648 generalization terms in 2,304 calls.
% 0.42/0.61  ; Retrieved 301 instance terms in 283 calls.
% 0.42/0.61  ; Retrieved 17,743 unifiable terms in 1,334 calls.
% 0.42/0.61  ; 
% 0.42/0.61  ; The agenda of rows to process has 64 entries:
% 0.42/0.61  ;     1 with value 9               4 with value 12              12 with value 16
% 0.42/0.61  ;     3 with value 10             16 with value 14               1 with value 18
% 0.42/0.61  ;     1 with value 11             24 with value 15               2 with value 19
% 0.42/0.61  ; The agenda of rows to give has 369 entries:
% 0.42/0.61  ;    11 with value (4 8)           3 with value (4 20)           2 with value (4 34)
% 0.42/0.61  ;    11 with value (4 9)           4 with value (4 21)           2 with value (4 37)
% 0.42/0.61  ;    35 with value (4 10)          3 with value (4 22)           1 with value (4 43)
% 0.42/0.61  ;    29 with value (4 11)          9 with value (4 23)           1 with value (4 44)
% 0.42/0.61  ;    25 with value (4 12)          5 with value (4 24)           1 with value (4 45)
% 0.42/0.61  ;    52 with value (4 13)          4 with value (4 26)           3 with value (4 46)
% 0.42/0.61  ;    51 with value (4 14)          3 with value (4 29)           1 with value (4 49)
% 0.42/0.61  ;    41 with value (4 15)          3 with value (4 30)           1 with value (4 51)
% 0.42/0.61  ;    14 with value (4 16)          2 with value (4 31)           1 with value (4 53)
% 0.42/0.61  ;     5 with value (4 17)          1 with value (4 32)           1 with value (4 59)
% 0.42/0.61  ;    25 with value (4 18)          2 with value (4 33)           1 with value (4 63)
% 0.42/0.61  ;    16 with value (4 19)
% 0.42/0.61  Evaluation took:
% 0.42/0.61    0.141 seconds of real time
% 0.42/0.61    0.129123 seconds of user run time
% 0.42/0.61    0.011059 seconds of system run time
% 0.42/0.61    0 calls to %EVAL
% 0.42/0.61    0 page faults and
% 0.42/0.61    8,464,328 bytes consed.
% 0.42/0.61  :PROOF-FOUND
% 0.42/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:46:32
% 0.42/0.61  :PROOF-FOUND
% 0.42/0.61  * 
%------------------------------------------------------------------------------