TSTP Solution File: SYN641-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN641-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 12:02:14 EDT 2022

% Result   : Unsatisfiable 3.08s 3.29s
% Output   : Refutation 3.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  13 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f3_is_p15_1,negated_conjecture,
    p15(f3(c19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).

cnf(f3_is_p15_2,negated_conjecture,
    p15(f3(c18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).

cnf(p6_4,negated_conjecture,
    p6(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).

cnf(p6_12,negated_conjecture,
    p6(f7(f3(c18)),f7(c18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_12) ).

cnf(p6_13,negated_conjecture,
    p6(f7(f3(c19)),f7(c19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_13) ).

cnf(p6_23,negated_conjecture,
    ( p6(X,Y)
    | ~ p6(Z,X)
    | ~ p6(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_23) ).

cnf(not_p6_28,negated_conjecture,
    ~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_28) ).

cnf(p6_33,negated_conjecture,
    ( p6(f9(X,Y),f9(Z,U))
    | ~ p6(Y,U)
    | ~ p6(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_33) ).

cnf(p6_38,negated_conjecture,
    ( p6(f7(f10(X,Y)),f9(f7(X),f7(Y)))
    | ~ p15(X)
    | ~ p15(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_38) ).

cnf(53,plain,
    ~ p6(f9(f7(c19),f7(c18)),f7(f10(f3(c19),f3(c18)))),
    inference('UR-RESOLVE',[status(thm)],[p6_23,not_p6_28,p6_4]) ).

cnf(63,plain,
    p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))),
    inference('HYPERRESOLVE',[status(thm)],[p6_33,p6_12,p6_13]) ).

cnf(96,plain,
    p6(f7(f10(f3(c19),f3(c18))),f9(f7(f3(c19)),f7(f3(c18)))),
    inference('HYPERRESOLVE',[status(thm)],[p6_38,f3_is_p15_1,f3_is_p15_2]) ).

cnf(3315,plain,
    ~ p6(f9(f7(f3(c19)),f7(f3(c18))),f7(f10(f3(c19),f3(c18)))),
    inference('UR-RESOLVE',[status(thm)],[p6_23,63,53]) ).

cnf(9931,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p6_23,96,p6_4]),3315]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN641-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n011.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 : Mon Jul 11 17:49:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T17:49:12
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T17:49:12
% 3.08/3.29  
% 3.08/3.29  
% 3.08/3.29  #||
% 3.08/3.29  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/3.29  % SZS output start Refutation
% See solution above
% 3.08/3.29  ||#
% 3.08/3.29  
% 3.08/3.29  ; Summary of computation:
% 3.08/3.29  ;     20088 formulas have been input or derived (from 141 formulas).
% 3.08/3.29  ;      9931 (49%) were retained.  Of these,
% 3.08/3.29  ;         9931 (100%) are still being kept.
% 3.08/3.29  ; 
% 3.08/3.29  ; Run time in seconds excluding printing time:
% 3.08/3.29  ;     0.008   0%   Read assertion file          (1 call)
% 3.08/3.29  ;     0.002   0%   Assert                       (42 calls)
% 3.08/3.29  ;     1.230  44%   Process new row              (19,634 calls)
% 3.08/3.29  ;     0.405  14%   Resolution                   (280 calls)
% 3.08/3.29  ;     0.001   0%   Paramodulation               (140 calls)
% 3.08/3.29  ;     0.065   2%   Condensing                   (1,504 calls)
% 3.08/3.29  ;     0.316  11%   Forward subsumption          (1,504 calls)
% 3.08/3.29  ;     0.181   6%   Backward subsumption         (1,471 calls)
% 3.08/3.29  ;     0.240   9%   Clause clause subsumption    (87,044 calls)
% 3.08/3.29  ;     0.198   7%   Forward simplification       (19,634 calls)
% 3.08/3.29  ;     0.076   3%   Backward simplification      (9,931 calls)
% 3.08/3.29  ;     0.019   1%   Ordering                     (5,492 calls)
% 3.08/3.29  ;     0.001   0%   Sortal reasoning             (32 calls)
% 3.08/3.29  ;     0.000   0%   Purity testing               (1 call)
% 3.08/3.29  ;     0.078   3%   Other
% 3.08/3.29  ;     2.820        Total
% 3.08/3.29  ;     2.822        Real time
% 3.08/3.29  ; 
% 3.08/3.29  ; Term-hash-array has 24,086 terms in all.
% 3.08/3.29  ; Feature-vector-row-index has 1,471 entries (1,471 at peak, 1,471 added, 0 deleted).
% 3.08/3.29  ; Feature-vector-row-index has 2,009 nodes (2,009 at peak, 2,009 added, 0 deleted).
% 3.08/3.29  ;  Retrieved 62,360 possibly forward subsuming rows in 1,504 calls.
% 3.08/3.29  ;  Retrieved 25,782 possibly backward subsumed rows in 1,471 calls.
% 3.08/3.29  ; Path-index has 24,089 entries (24,089 at peak, 24,089 added, 0 deleted).
% 3.08/3.29  ; Path-index has 1,553 nodes (1,553 at peak, 1,553 added, 0 deleted).
% 3.08/3.29  ; Trie-index has 24,089 entries (24,089 at peak, 24,089 added, 0 deleted).
% 3.08/3.29  ; Trie-index has 172,610 nodes (172,610 at peak, 172,610 added, 0 deleted).
% 3.08/3.29  ; Retrieved 31,048 generalization terms in 19,782 calls.
% 3.08/3.29  ; Retrieved 8,459 instance terms in 8,459 calls.
% 3.08/3.29  ; Retrieved 782,334 unifiable terms in 6,499 calls.
% 3.08/3.29  ; 
% 3.08/3.29  ; The agenda of rows to process has 196 entries:
% 3.08/3.29  ;     3 with value 20             32 with value 28              64 with value 35
% 3.08/3.29  ;     1 with value 21             32 with value 32              28 with value 36
% 3.08/3.29  ;     4 with value 25             32 with value 33
% 3.08/3.29  ; The agenda of rows to give has 9790 entries:
% 3.08/3.29  ;    63 with value (4 19)          8 with value (4 30)          32 with value (4 43)
% 3.08/3.29  ;    75 with value (4 20)        288 with value (4 31)          64 with value (4 45)
% 3.08/3.29  ;    24 with value (4 21)        672 with value (4 32)          64 with value (4 46)
% 3.08/3.29  ;    24 with value (4 22)        176 with value (4 33)        1152 with value (4 47)
% 3.08/3.29  ;   192 with value (4 23)        280 with value (4 34)         288 with value (4 49)
% 3.08/3.29  ;   200 with value (4 24)        448 with value (4 35)         320 with value (4 52)
% 3.08/3.29  ;   184 with value (4 25)         52 with value (4 36)        1536 with value (4 53)
% 3.08/3.29  ;   384 with value (4 26)         16 with value (4 37)         256 with value (4 55)
% 3.08/3.29  ;   336 with value (4 27)         32 with value (4 38)         256 with value (4 58)
% 3.08/3.29  ;   208 with value (4 28)        576 with value (4 41)         768 with value (4 59)
% 3.08/3.29  ;   752 with value (4 29)         64 with value (4 42)
% 3.08/3.29  Evaluation took:
% 3.08/3.29    2.823 seconds of real time
% 3.08/3.29    2.533346 seconds of user run time
% 3.08/3.29    0.289749 seconds of system run time
% 3.08/3.29    [Run times include 0.454 seconds GC run time.]
% 3.08/3.29    0 calls to %EVAL
% 3.08/3.29    0 page faults and
% 3.08/3.29    246,709,152 bytes consed.
% 3.08/3.29  :PROOF-FOUND
% 3.08/3.29  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T17:49:15
% 3.08/3.29  :PROOF-FOUND
% 3.08/3.29  * 
%------------------------------------------------------------------------------