TSTP Solution File: SYN658-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN658-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 12:02:21 EDT 2022

% Result   : Unsatisfiable 4.64s 4.82s
% Output   : Refutation 4.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (   9 unt;   2 nHn;  11 RR)
%            Number of literals    :   23 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   19 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_4,negated_conjecture,
    p4(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).

cnf(not_p6_11,negated_conjecture,
    ~ p6(c28,f10(c33)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_11) ).

cnf(p6_15,negated_conjecture,
    p6(f21(f8(X,f9(Y,Z))),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_15) ).

cnf(p6_25,negated_conjecture,
    ( p6(X,Y)
    | ~ p6(Z,X)
    | ~ p6(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_25) ).

cnf(p4_26,negated_conjecture,
    ( p4(X,Y)
    | ~ p4(Z,X)
    | ~ p4(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_26) ).

cnf(not_p4_44,negated_conjecture,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_44) ).

cnf(p24_45,negated_conjecture,
    ( p24(f19(f20(c34,c31)),f19(f20(c34,X)))
    | ~ p25(X,f18(f8(c27,f9(c28,c29)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_45) ).

cnf(p6_48,negated_conjecture,
    ( p6(f21(X),f10(c33))
    | p25(f22(X,Y,Z),f18(X))
    | p4(f5(X,c36,Y),f5(X,c36,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_48) ).

cnf(p6_49,negated_conjecture,
    ( p6(f21(X),f10(c33))
    | p4(f5(X,c36,Y),f5(X,c36,Z))
    | ~ p24(f19(f20(Y,Z)),f19(f20(Y,f22(X,Y,Z)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_49) ).

cnf(57,plain,
    ~ p6(f21(f8(X,f9(c28,Y))),f10(c33)),
    inference('UR-RESOLVE',[status(thm)],[p6_25,not_p6_11,p6_15]) ).

cnf(119,plain,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)),
    inference('UR-RESOLVE',[status(thm)],[p4_26,not_p4_44,p4_4]) ).

cnf(12259,plain,
    p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29)))),
    inference('UR-RESOLVE',[status(thm)],[p6_48,119,57]) ).

cnf(12260,plain,
    ~ p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31)))),
    inference('UR-RESOLVE',[status(thm)],[p6_49,119,57]) ).

cnf(12261,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p24_45,12259]),12260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN658-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n017.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Tue Jul 12 07:17:19 EDT 2022
% 0.14/0.34  % 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 2022-07-12T07:17:19
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-12T07:17:19
% 4.64/4.82  
% 4.64/4.82  
% 4.64/4.82  #||
% 4.64/4.82  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.64/4.82  % SZS output start Refutation
% See solution above
% 4.64/4.82  ||#
% 4.64/4.82  
% 4.64/4.82  ; Summary of computation:
% 4.64/4.82  ;     25876 formulas have been input or derived (from 151 formulas).
% 4.64/4.82  ;     12261 (47%) were retained.  Of these,
% 4.64/4.82  ;        12261 (100%) are still being kept.
% 4.64/4.82  ; 
% 4.64/4.82  ; Run time in seconds excluding printing time:
% 4.64/4.82  ;     0.009   0%   Read assertion file          (1 call)
% 4.64/4.82  ;     0.001   0%   Assert                       (50 calls)
% 4.64/4.82  ;     1.865  43%   Process new row              (25,557 calls)
% 4.64/4.82  ;     1.507  35%   Resolution                   (300 calls)
% 4.64/4.82  ;     0.009   0%   Paramodulation               (150 calls)
% 4.64/4.82  ;     0.000   0%   Factoring                    (1 call)
% 4.64/4.82  ;     0.001   0%   Condensing                   (117 calls)
% 4.64/4.82  ;     0.008   0%   Forward subsumption          (117 calls)
% 4.64/4.82  ;     0.002   0%   Backward subsumption         (111 calls)
% 4.64/4.82  ;     0.000   0%   Clause clause subsumption    (326 calls)
% 4.64/4.82  ;     0.535  12%   Forward simplification       (25,557 calls)
% 4.64/4.82  ;     0.316   7%   Backward simplification      (12,261 calls)
% 4.64/4.82  ;     0.000   0%   Ordering                     (304 calls)
% 4.64/4.82  ;     0.000   0%   Sortal reasoning             (32 calls)
% 4.64/4.82  ;     0.000   0%   Purity testing               (1 call)
% 4.64/4.82  ;     0.101   2%   Other
% 4.64/4.82  ;     4.354        Total
% 4.64/4.82  ;     4.356        Real time
% 4.67/4.82  ; 
% 4.67/4.82  ; Term-hash-array has 34,625 terms in all.
% 4.67/4.82  ; Feature-vector-row-index has 111 entries (111 at peak, 111 added, 0 deleted).
% 4.67/4.82  ; Feature-vector-row-index has 711 nodes (711 at peak, 711 added, 0 deleted).
% 4.67/4.82  ;  Retrieved 238 possibly forward subsuming rows in 117 calls.
% 4.67/4.82  ;  Retrieved 90 possibly backward subsumed rows in 111 calls.
% 4.67/4.82  ; Path-index has 34,635 entries (34,635 at peak, 34,635 added, 0 deleted).
% 4.67/4.82  ; Path-index has 17,760 nodes (17,760 at peak, 17,760 added, 0 deleted).
% 4.67/4.82  ; Trie-index has 34,635 entries (34,635 at peak, 34,635 added, 0 deleted).
% 4.67/4.82  ; Trie-index has 312,638 nodes (312,638 at peak, 312,638 added, 0 deleted).
% 4.67/4.82  ; Retrieved 62,101 generalization terms in 25,781 calls.
% 4.67/4.82  ; Retrieved 12,149 instance terms in 12,149 calls.
% 4.67/4.82  ; Retrieved 4,076,919 unifiable terms in 17,138 calls.
% 4.67/4.82  ; 
% 4.67/4.82  ; The agenda of rows to process has 1 entry:
% 4.67/4.82  ;     1 with value 47
% 4.67/4.82  ; The agenda of rows to give has 12110 entries:
% 4.67/4.82  ;    26 with value (4 22)        657 with value (4 34)         280 with value (4 46)
% 4.67/4.82  ;    43 with value (4 23)        684 with value (4 35)         391 with value (4 47)
% 4.67/4.82  ;    72 with value (4 24)       1034 with value (4 36)         398 with value (4 48)
% 4.67/4.82  ;    87 with value (4 25)        864 with value (4 37)         915 with value (4 49)
% 4.67/4.82  ;   144 with value (4 26)       1592 with value (4 38)         385 with value (4 50)
% 4.67/4.82  ;   190 with value (4 27)        888 with value (4 39)         375 with value (4 51)
% 4.67/4.82  ;   118 with value (4 28)        993 with value (4 40)          77 with value (4 52)
% 4.67/4.82  ;   116 with value (4 29)        253 with value (4 41)           1 with value (4 55)
% 4.67/4.82  ;   144 with value (4 30)        206 with value (4 42)           2 with value (4 56)
% 4.67/4.82  ;    98 with value (4 31)         34 with value (4 43)           1 with value (4 67)
% 4.67/4.82  ;   128 with value (4 32)        131 with value (4 44)           1 with value (4 74)
% 4.67/4.82  ;   421 with value (4 33)        361 with value (4 45)
% 4.67/4.82  Evaluation took:
% 4.67/4.82    4.358 seconds of real time
% 4.67/4.82    4.124831 seconds of user run time
% 4.67/4.82    0.233051 seconds of system run time
% 4.67/4.82    [Run times include 0.838 seconds GC run time.]
% 4.67/4.82    0 calls to %EVAL
% 4.67/4.82    0 page faults and
% 4.67/4.82    298,018,128 bytes consed.
% 4.67/4.82  :PROOF-FOUND
% 4.67/4.82  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T07:17:24
% 4.67/4.82  :PROOF-FOUND
% 4.67/4.82  * 
%------------------------------------------------------------------------------