TSTP Solution File: SYN657-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN657-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 12:02:20 EDT 2022

% Result   : Unsatisfiable 1.41s 1.60s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;   8 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   :   15 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(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(c31,c34)),f19(f20(c31,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(178,plain,
    p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))),
    inference('UR-RESOLVE',[status(thm)],[p6_48,57,not_p4_44]) ).

cnf(181,plain,
    ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))),
    inference('UR-RESOLVE',[status(thm)],[p6_49,57,not_p4_44]) ).

cnf(4084,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p24_45,178]),181]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN657-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n019.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 : Tue Jul 12 00:45:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:45:38
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-12T00:45:38
% 1.41/1.60  
% 1.41/1.60  
% 1.41/1.60  #||
% 1.41/1.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.60  % SZS output start Refutation
% See solution above
% 1.41/1.62  ||#
% 1.41/1.62  
% 1.41/1.62  ; Summary of computation:
% 1.41/1.62  ;      8831 formulas have been input or derived (from 111 formulas).
% 1.41/1.62  ;      4084 (46%) were retained.  Of these,
% 1.41/1.62  ;         4084 (100%) are still being kept.
% 1.41/1.62  ; 
% 1.41/1.62  ; Run time in seconds excluding printing time:
% 1.41/1.62  ;     0.010   1%   Read assertion file          (1 call)
% 1.41/1.62  ;     0.001   0%   Assert                       (50 calls)
% 1.41/1.62  ;     0.453  40%   Process new row              (8,628 calls)
% 1.41/1.62  ;     0.332  29%   Resolution                   (220 calls)
% 1.41/1.62  ;     0.002   0%   Paramodulation               (110 calls)
% 1.41/1.62  ;     0.000   0%   Factoring                    (1 call)
% 1.41/1.62  ;     0.000   0%   Condensing                   (95 calls)
% 1.41/1.62  ;     0.006   1%   Forward subsumption          (95 calls)
% 1.41/1.62  ;     0.000   0%   Backward subsumption         (90 calls)
% 1.41/1.62  ;     0.001   0%   Clause clause subsumption    (198 calls)
% 1.41/1.62  ;     0.194  17%   Forward simplification       (8,628 calls)
% 1.41/1.62  ;     0.087   8%   Backward simplification      (4,084 calls)
% 1.41/1.62  ;     0.000   0%   Ordering                     (224 calls)
% 1.41/1.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.41/1.62  ;     0.001   0%   Purity testing               (1 call)
% 1.41/1.62  ;     0.048   4%   Other
% 1.41/1.62  ;     1.135        Total
% 1.41/1.62  ;     1.161        Real time
% 1.41/1.62  ; 
% 1.41/1.62  ; Term-hash-array has 12,156 terms in all.
% 1.41/1.62  ; Feature-vector-row-index has 90 entries (90 at peak, 90 added, 0 deleted).
% 1.41/1.62  ; Feature-vector-row-index has 625 nodes (625 at peak, 625 added, 0 deleted).
% 1.41/1.62  ;  Retrieved 155 possibly forward subsuming rows in 95 calls.
% 1.41/1.62  ;  Retrieved 45 possibly backward subsumed rows in 90 calls.
% 1.41/1.62  ; Path-index has 12,166 entries (12,166 at peak, 12,166 added, 0 deleted).
% 1.41/1.62  ; Path-index has 11,716 nodes (11,716 at peak, 11,716 added, 0 deleted).
% 1.41/1.62  ; Trie-index has 12,166 entries (12,166 at peak, 12,166 added, 0 deleted).
% 1.41/1.62  ; Trie-index has 99,577 nodes (99,577 at peak, 99,577 added, 0 deleted).
% 1.41/1.62  ; Retrieved 19,840 generalization terms in 8,811 calls.
% 1.41/1.62  ; Retrieved 3,993 instance terms in 3,993 calls.
% 1.41/1.62  ; Retrieved 699,805 unifiable terms in 6,813 calls.
% 1.41/1.62  ; 
% 1.41/1.62  ; The agenda of rows to process has 1 entry:
% 1.41/1.62  ;     1 with value 47
% 1.41/1.62  ; The agenda of rows to give has 3973 entries:
% 1.41/1.62  ;    26 with value (4 21)        421 with value (4 33)         169 with value (4 45)
% 1.41/1.62  ;    34 with value (4 22)        260 with value (4 34)         142 with value (4 46)
% 1.41/1.62  ;    42 with value (4 23)        412 with value (4 35)          83 with value (4 47)
% 1.41/1.62  ;    70 with value (4 24)        197 with value (4 36)         206 with value (4 48)
% 1.41/1.62  ;    37 with value (4 25)        482 with value (4 37)         127 with value (4 49)
% 1.41/1.62  ;   133 with value (4 26)        212 with value (4 38)          36 with value (4 50)
% 1.41/1.62  ;    23 with value (4 27)        130 with value (4 39)           4 with value (4 51)
% 1.41/1.62  ;    69 with value (4 28)         62 with value (4 40)           1 with value (4 55)
% 1.41/1.62  ;    78 with value (4 29)         37 with value (4 41)           2 with value (4 56)
% 1.41/1.62  ;    92 with value (4 30)         31 with value (4 42)           1 with value (4 67)
% 1.41/1.62  ;    97 with value (4 31)         34 with value (4 43)           1 with value (4 74)
% 1.41/1.62  ;    91 with value (4 32)        131 with value (4 44)
% 1.41/1.62  Evaluation took:
% 1.41/1.62    1.162 seconds of real time
% 1.41/1.62    1.099747 seconds of user run time
% 1.41/1.62    0.061766 seconds of system run time
% 1.41/1.62    [Run times include 0.184 seconds GC run time.]
% 1.41/1.62    0 calls to %EVAL
% 1.41/1.62    0 page faults and
% 1.41/1.62    88,954,360 bytes consed.
% 1.41/1.62  :PROOF-FOUND
% 1.41/1.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:45:39
% 1.41/1.62  :PROOF-FOUND
% 1.41/1.62  * 
%------------------------------------------------------------------------------