TSTP Solution File: SYN623-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN623-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Thu Jul 21 12:02:07 EDT 2022

% Result   : Unsatisfiable 0.45s 0.70s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   21 (  15 unt;   2 nHn;  19 RR)
%            Number of literals    :   36 (   0 equ;  17 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p8_2,negated_conjecture,
    p8(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).

cnf(p3_5,negated_conjecture,
    p3(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).

cnf(p18_10,negated_conjecture,
    p18(c26,c25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).

cnf(p3_11,negated_conjecture,
    p3(c22,c23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).

cnf(p2_12,negated_conjecture,
    p2(c24,c25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

cnf(not_p16_13,negated_conjecture,
    ~ p16(c22,c21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_13) ).

cnf(p3_14,negated_conjecture,
    p3(c23,f4(c24,c20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).

cnf(p16_15,negated_conjecture,
    p16(f4(c19,c20),c21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_15) ).

cnf(p3_20,negated_conjecture,
    ( p3(X,Y)
    | ~ p3(Z,X)
    | ~ p3(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).

cnf(p16_25,negated_conjecture,
    ( p16(f4(c25,X),Y)
    | ~ p16(f4(f6(c27,c25),X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).

cnf(p16_26,negated_conjecture,
    ( p16(X,Y)
    | ~ p3(Z,X)
    | ~ p8(U,Y)
    | ~ p16(Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_26) ).

cnf(p16_34,negated_conjecture,
    ( p16(f4(X,Y),Z)
    | ~ p2(X,U)
    | ~ p18(c26,U)
    | ~ p16(f4(c19,Y),Z)
    | ~ p16(f4(U,f13(f15(c28,X),U)),f9(f11(c29,X),U)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_34) ).

cnf(p16_35,negated_conjecture,
    ( p16(f4(X,Y),Z)
    | p16(f4(f6(c27,U),f13(f15(c28,X),U)),f9(f11(c29,X),U))
    | ~ p2(X,U)
    | ~ p18(c26,U)
    | ~ p16(f4(c19,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_35) ).

cnf(36,plain,
    p3(c23,c22),
    inference('HYPERRESOLVE',[status(thm)],[p3_20,p3_11,p3_5]) ).

cnf(37,plain,
    p3(f4(c24,c20),c23),
    inference('HYPERRESOLVE',[status(thm)],[p3_20,p3_14,p3_5]) ).

cnf(50,plain,
    ( p16(f4(c24,c20),c21)
    | p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)) ),
    inference('HYPERRESOLVE',[status(thm)],[p16_35,p2_12,p18_10,p16_15]) ).

cnf(52,plain,
    ~ p16(c23,c21),
    inference('UR-RESOLVE',[status(thm)],[p16_26,36,not_p16_13,p8_2]) ).

cnf(70,plain,
    ~ p16(f4(c24,c20),c21),
    inference('UR-RESOLVE',[status(thm)],[p16_26,37,52,p8_2]) ).

cnf(71,plain,
    p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)),
    inference('REWRITE',[status(thm)],[50,70]) ).

cnf(138,plain,
    ~ p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)),
    inference('UR-RESOLVE',[status(thm)],[p16_34,70,p2_12,p18_10,p16_15]) ).

cnf(917,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p16_25,71]),138]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN623-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n020.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 : Mon Jul 11 15:22:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T15:22:28
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T15:22:28
% 0.45/0.70  
% 0.45/0.70  
% 0.45/0.70  #||
% 0.45/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.70  % SZS output start Refutation
% See solution above
% 0.45/0.71  ||#
% 0.45/0.71  
% 0.45/0.71  ; Summary of computation:
% 0.45/0.71  ;      5030 formulas have been input or derived (from 190 formulas).
% 0.45/0.71  ;       917 (18%) were retained.  Of these,
% 0.45/0.71  ;            4 ( 0%) were simplified or subsumed later,
% 0.45/0.71  ;          913 (100%) are still being kept.
% 0.45/0.71  ; 
% 0.45/0.71  ; Run time in seconds excluding printing time:
% 0.45/0.71  ;     0.006   2%   Read assertion file          (1 call)
% 0.45/0.71  ;     0.001   0%   Assert                       (35 calls)
% 0.45/0.71  ;     0.072  28%   Process new row              (4,890 calls)
% 0.45/0.71  ;     0.071  28%   Resolution                   (378 calls)
% 0.45/0.71  ;     0.003   1%   Paramodulation               (189 calls)
% 0.45/0.71  ;     0.000   0%   Condensing                   (24 calls)
% 0.45/0.71  ;     0.001   0%   Forward subsumption          (24 calls)
% 0.45/0.71  ;     0.000   0%   Backward subsumption         (24 calls)
% 0.45/0.71  ;     0.042  16%   Forward simplification       (4,890 calls)
% 0.45/0.71  ;     0.017   7%   Backward simplification      (917 calls)
% 0.45/0.71  ;     0.001   0%   Ordering                     (10 calls)
% 0.45/0.71  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.45/0.71  ;     0.000   0%   Purity testing               (1 call)
% 0.45/0.71  ;     0.041  16%   Other
% 0.45/0.71  ;     0.255        Total
% 0.45/0.71  ;     0.257        Real time
% 0.45/0.71  ; 
% 0.45/0.71  ; Term-hash-array has 1,730 terms in all.
% 0.45/0.71  ; Feature-vector-row-index has 20 entries (24 at peak, 24 added, 4 deleted).
% 0.45/0.71  ; Feature-vector-row-index has 101 nodes (173 at peak, 173 added, 72 deleted).
% 0.45/0.71  ;  Retrieved 2 possibly forward subsuming rows in 24 calls.
% 0.45/0.71  ;  Retrieved 0 possibly backward subsumed rows in 24 calls.
% 0.45/0.71  ; Path-index has 1,741 entries (1,741 at peak, 1,761 added, 20 deleted).
% 0.45/0.71  ; Path-index has 729 nodes (729 at peak, 738 added, 9 deleted).
% 0.45/0.71  ; Trie-index has 1,741 entries (1,741 at peak, 1,761 added, 20 deleted).
% 0.45/0.71  ; Trie-index has 7,361 nodes (7,361 at peak, 7,413 added, 52 deleted).
% 0.45/0.71  ; Retrieved 7,337 generalization terms in 4,928 calls.
% 0.45/0.71  ; Retrieved 2,128 instance terms in 892 calls.
% 0.45/0.71  ; Retrieved 37,846 unifiable terms in 5,845 calls.
% 0.45/0.71  ; 
% 0.45/0.71  ; The agenda of rows to process has 23 entries:
% 0.45/0.71  ;     1 with value 21              6 with value 22              16 with value 23
% 0.45/0.71  ; The agenda of rows to give has 723 entries:
% 0.45/0.71  ;    23 with value (4 20)         82 with value (4 25)          33 with value (4 30)
% 0.45/0.71  ;    62 with value (4 21)         68 with value (4 26)          75 with value (4 31)
% 0.45/0.71  ;    91 with value (4 22)         68 with value (4 27)           2 with value (4 32)
% 0.45/0.71  ;    91 with value (4 23)         10 with value (4 28)          28 with value (4 33)
% 0.45/0.71  ;    22 with value (4 24)         62 with value (4 29)           6 with value (4 34)
% 0.45/0.71  Evaluation took:
% 0.45/0.71    0.257 seconds of real time
% 0.45/0.71    0.223039 seconds of user run time
% 0.45/0.71    0.034091 seconds of system run time
% 0.45/0.71    [Run times include 0.011 seconds GC run time.]
% 0.45/0.71    0 calls to %EVAL
% 0.45/0.71    0 page faults and
% 0.45/0.71    17,881,224 bytes consed.
% 0.45/0.71  :PROOF-FOUND
% 0.45/0.71  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T15:22:28
% 0.45/0.71  :PROOF-FOUND
% 0.45/0.71  * 
%------------------------------------------------------------------------------