TSTP Solution File: SET027-3 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET027-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 05:06:06 EDT 2022

% Result   : Unsatisfiable 13.49s 13.72s
% Output   : Refutation 13.49s
% 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(subset1,axiom,
    ( ~ subset(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset1) ).

cnf(subset2,axiom,
    ( subset(X,Y)
    | member(f17(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset2) ).

cnf(subset3,axiom,
    ( subset(X,Y)
    | ~ member(f17(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset3) ).

cnf(a_subset_b,hypothesis,
    subset(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_b) ).

cnf(b_subset_c,hypothesis,
    subset(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_c) ).

cnf(prove_a_subset_c,negated_conjecture,
    ~ subset(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_subset_c) ).

cnf(230,plain,
    member(f17(a,c),a),
    inference('HYPERRESOLVE',[status(thm)],[prove_a_subset_c,subset2]) ).

cnf(231,plain,
    ~ member(f17(a,c),c),
    inference('UR-RESOLVE',[status(thm)],[subset3,prove_a_subset_c]) ).

cnf(3954,plain,
    member(f17(a,c),b),
    inference('HYPERRESOLVE',[status(thm)],[subset1,230,a_subset_b]) ).

cnf(3970,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[subset1,231,b_subset_c]),3954]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET027-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 12:22:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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 2022-07-10T12:22:40
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-10T12:22:40
% 13.49/13.72  
% 13.49/13.72  
% 13.49/13.72  #||
% 13.49/13.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.49/13.72  % SZS output start Refutation
% See solution above
% 13.49/13.72  ||#
% 13.49/13.72  
% 13.49/13.72  ; Summary of computation:
% 13.49/13.72  ;     20388 formulas have been input or derived (from 204 formulas).
% 13.49/13.72  ;      3970 (19%) were retained.  Of these,
% 13.49/13.72  ;          108 ( 3%) were simplified or subsumed later,
% 13.49/13.72  ;         3862 (97%) are still being kept.
% 13.49/13.72  ; 
% 13.49/13.72  ; Run time in seconds:
% 13.49/13.72  ;     0.028   0%   Read assertion file          (1 call)
% 13.49/13.72  ;     0.005   0%   Assert                       (155 calls)
% 13.49/13.72  ;     0.426   3%   Process new row              (17,210 calls)
% 13.49/13.72  ;    11.832  89%   Resolution                   (406 calls)
% 13.49/13.72  ;     0.006   0%   Paramodulation               (203 calls)
% 13.49/13.72  ;     0.000   0%   Factoring                    (13 calls)
% 13.49/13.72  ;     0.121   1%   Condensing                   (10,236 calls)
% 13.49/13.72  ;     0.340   3%   Forward subsumption          (10,236 calls)
% 13.49/13.72  ;     0.085   1%   Backward subsumption         (1,881 calls)
% 13.49/13.72  ;     0.030   0%   Clause clause subsumption    (10,696 calls)
% 13.49/13.72  ;     0.268   2%   Forward simplification       (16,241 calls)
% 13.49/13.72  ;     0.026   0%   Backward simplification      (3,940 calls)
% 13.49/13.72  ;     0.011   0%   Ordering                     (4,473 calls)
% 13.49/13.72  ;     0.001   0%   Sortal reasoning             (32 calls)
% 13.49/13.72  ;     0.000   0%   Purity testing               (1 call)
% 13.49/13.72  ;     0.077   1%   Other
% 13.49/13.72  ;    13.256        Total
% 13.49/13.72  ;    13.259        Real time
% 13.49/13.72  ; 
% 13.49/13.72  ; Term-hash-array has 8,355 terms in all.
% 13.49/13.72  ; Feature-vector-row-index has 1,871 entries (1,871 at peak, 1,881 added, 10 deleted).
% 13.49/13.72  ; Feature-vector-row-index has 14,576 nodes (14,576 at peak, 14,681 added, 105 deleted).
% 13.49/13.72  ;  Retrieved 14,243 possibly forward subsuming rows in 10,236 calls.
% 13.49/13.72  ;  Retrieved 355 possibly backward subsumed rows in 1,881 calls.
% 13.49/13.72  ; Path-index has 8,263 entries (8,263 at peak, 8,364 added, 101 deleted).
% 13.49/13.72  ; Path-index has 16,620 nodes (16,620 at peak, 16,693 added, 73 deleted).
% 13.49/13.72  ; Trie-index has 8,263 entries (8,263 at peak, 8,364 added, 101 deleted).
% 13.49/13.72  ; Trie-index has 34,429 nodes (34,429 at peak, 34,682 added, 253 deleted).
% 13.49/13.72  ; Retrieved 32,089 generalization terms in 53,736 calls.
% 13.49/13.72  ; Retrieved 2,070 instance terms in 2,058 calls.
% 13.49/13.72  ; Retrieved 24,720,353 unifiable terms in 236,776 calls.
% 13.49/13.72  ; 
% 13.49/13.72  ; The agenda of rows to process has 3 entries:
% 13.49/13.72  ;     1 with value 9               2 with value 11
% 13.49/13.72  ; The agenda of rows to give has 3666 entries:
% 13.49/13.72  ;    36 with value (4 8)         255 with value (4 27)          31 with value (4 46)
% 13.49/13.72  ;    41 with value (4 9)         358 with value (4 28)          19 with value (4 47)
% 13.49/13.72  ;    35 with value (4 10)        185 with value (4 29)           2 with value (4 48)
% 13.49/13.72  ;    49 with value (4 11)        233 with value (4 30)          12 with value (4 49)
% 13.49/13.72  ;    38 with value (4 12)        123 with value (4 31)           6 with value (4 50)
% 13.49/13.72  ;    33 with value (4 13)        149 with value (4 32)           2 with value (4 51)
% 13.49/13.72  ;    64 with value (4 14)        117 with value (4 33)           8 with value (4 53)
% 13.49/13.72  ;    80 with value (4 15)        163 with value (4 34)           9 with value (4 56)
% 13.49/13.72  ;    66 with value (4 16)         87 with value (4 35)           2 with value (4 57)
% 13.49/13.72  ;    69 with value (4 17)         78 with value (4 36)           2 with value (4 58)
% 13.49/13.72  ;   110 with value (4 18)         14 with value (4 37)           2 with value (4 59)
% 13.49/13.72  ;    82 with value (4 19)         28 with value (4 38)           9 with value (4 61)
% 13.49/13.72  ;   106 with value (4 20)         24 with value (4 39)           4 with value (4 62)
% 13.49/13.72  ;   110 with value (4 21)         32 with value (4 40)           4 with value (4 65)
% 13.49/13.72  ;    83 with value (4 22)         20 with value (4 41)           4 with value (4 74)
% 13.49/13.72  ;   105 with value (4 23)         17 with value (4 42)           2 with value (4 88)
% 13.49/13.72  ;   112 with value (4 24)         19 with value (4 43)           4 with value (4 94)
% 13.49/13.72  ;   123 with value (4 25)         16 with value (4 44)           4 with value (4 105)
% 13.49/13.72  ;   250 with value (4 26)         30 with value (4 45)
% 13.49/13.72  Evaluation took:
% 13.49/13.72    13.26 seconds of real time
% 13.49/13.72    13.0392 seconds of user run time
% 13.49/13.72    0.219075 seconds of system run time
% 13.49/13.72    [Run times include 0.451 seconds GC run time.]
% 13.49/13.72    0 calls to %EVAL
% 13.49/13.72    0 page faults and
% 13.49/13.72    655,819,496 bytes consed.
% 13.49/13.72  :PROOF-FOUND
% 13.49/13.72  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:22:54
% 13.49/13.72  :PROOF-FOUND
% 13.49/13.72  * 
%------------------------------------------------------------------------------