TSTP Solution File: SYN695-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN695-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 12:02:35 EDT 2022

% Result   : Unsatisfiable 2.55s 2.74s
% Output   : Refutation 2.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;   9 RR)
%            Number of literals    :   17 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p10_7,negated_conjecture,
    p10(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).

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

cnf(p2_18,negated_conjecture,
    p2(c44,c45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).

cnf(p3_30,negated_conjecture,
    ( p3(f4(X),f4(Y))
    | ~ p2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).

cnf(p2_41,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_41) ).

cnf(p2_54,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_54) ).

cnf(not_p2_55,negated_conjecture,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_55) ).

cnf(p2_61,negated_conjecture,
    ( p2(f11(X,Y),f11(Z,U))
    | ~ p10(Y,U)
    | ~ p3(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).

cnf(74,plain,
    p3(f4(c44),f4(c45)),
    inference('HYPERRESOLVE',[status(thm)],[p3_30,p2_18]) ).

cnf(112,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference('HYPERRESOLVE',[status(thm)],[p2_41,p2_54,p2_12]) ).

cnf(207,plain,
    p2(f11(f4(c44),X),f11(f4(c45),X)),
    inference('HYPERRESOLVE',[status(thm)],[p2_61,74,p10_7]) ).

cnf(9461,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p2_41,207,not_p2_55]),112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN695-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n029.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 : Tue Jul 12 03:36:17 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47  * 
% 0.18/0.47  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T03:36:17
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-12T03:36:17
% 2.55/2.74  
% 2.55/2.74  
% 2.55/2.74  #||
% 2.55/2.74  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.74  % SZS output start Refutation
% See solution above
% 2.55/2.75  ||#
% 2.55/2.75  
% 2.55/2.75  ; Summary of computation:
% 2.55/2.75  ;     20561 formulas have been input or derived (from 166 formulas).
% 2.55/2.75  ;      9461 (46%) were retained.  Of these,
% 2.55/2.75  ;         9461 (100%) are still being kept.
% 2.55/2.75  ; 
% 2.55/2.75  ; Run time in seconds excluding printing time:
% 2.55/2.75  ;     0.012   1%   Read assertion file          (1 call)
% 2.55/2.75  ;     0.002   0%   Assert                       (73 calls)
% 2.55/2.75  ;     0.809  36%   Process new row              (20,011 calls)
% 2.55/2.75  ;     1.036  46%   Resolution                   (330 calls)
% 2.55/2.75  ;     0.002   0%   Paramodulation               (165 calls)
% 2.55/2.75  ;     0.000   0%   Condensing                   (43 calls)
% 2.55/2.75  ;     0.002   0%   Forward subsumption          (43 calls)
% 2.55/2.75  ;     0.000   0%   Backward subsumption         (43 calls)
% 2.55/2.75  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 2.55/2.75  ;     0.207   9%   Forward simplification       (20,011 calls)
% 2.55/2.75  ;     0.108   5%   Backward simplification      (9,461 calls)
% 2.55/2.75  ;     0.000   0%   Ordering                     (3 calls)
% 2.55/2.75  ;     0.001   0%   Sortal reasoning             (32 calls)
% 2.55/2.75  ;     0.000   0%   Purity testing               (1 call)
% 2.55/2.75  ;     0.091   4%   Other
% 2.55/2.75  ;     2.270        Total
% 2.55/2.75  ;     2.272        Real time
% 2.55/2.75  ; 
% 2.55/2.75  ; Term-hash-array has 20,068 terms in all.
% 2.55/2.75  ; Feature-vector-row-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 2.55/2.75  ; Feature-vector-row-index has 223 nodes (223 at peak, 223 added, 0 deleted).
% 2.55/2.75  ;  Retrieved 6 possibly forward subsuming rows in 43 calls.
% 2.55/2.75  ;  Retrieved 0 possibly backward subsumed rows in 43 calls.
% 2.55/2.75  ; Path-index has 20,082 entries (20,082 at peak, 20,082 added, 0 deleted).
% 2.55/2.75  ; Path-index has 3,766 nodes (3,766 at peak, 3,766 added, 0 deleted).
% 2.55/2.75  ; Trie-index has 20,082 entries (20,082 at peak, 20,082 added, 0 deleted).
% 2.55/2.75  ; Trie-index has 97,226 nodes (97,226 at peak, 97,226 added, 0 deleted).
% 2.55/2.75  ; Retrieved 41,868 generalization terms in 20,063 calls.
% 2.55/2.75  ; Retrieved 15,820 instance terms in 9,417 calls.
% 2.55/2.75  ; Retrieved 2,507,850 unifiable terms in 13,743 calls.
% 2.55/2.75  ; 
% 2.55/2.75  ; The agenda of rows to process has 480 entries:
% 2.55/2.75  ;    32 with value 22            128 with value 25               8 with value 31
% 2.55/2.75  ;   272 with value 24             24 with value 26              16 with value 33
% 2.55/2.75  ; The agenda of rows to give has 9295 entries:
% 2.55/2.75  ;    96 with value (4 14)       1763 with value (4 22)         140 with value (4 29)
% 2.55/2.75  ;   121 with value (4 15)       2708 with value (4 23)         120 with value (4 30)
% 2.55/2.75  ;   228 with value (4 16)        277 with value (4 24)         224 with value (4 31)
% 2.55/2.75  ;   357 with value (4 17)        148 with value (4 25)         128 with value (4 32)
% 2.55/2.75  ;   390 with value (4 18)         34 with value (4 26)          18 with value (4 33)
% 2.55/2.75  ;   716 with value (4 19)         16 with value (4 27)          10 with value (4 35)
% 2.55/2.75  ;   661 with value (4 20)         60 with value (4 28)           6 with value (4 36)
% 2.55/2.75  ;  1074 with value (4 21)
% 2.55/2.75  Evaluation took:
% 2.55/2.75    2.273 seconds of real time
% 2.55/2.75    2.119773 seconds of user run time
% 2.55/2.75    0.153102 seconds of system run time
% 2.55/2.75    [Run times include 0.338 seconds GC run time.]
% 2.55/2.75    0 calls to %EVAL
% 2.55/2.75    0 page faults and
% 2.55/2.75    131,653,544 bytes consed.
% 2.55/2.75  :PROOF-FOUND
% 2.55/2.75  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T03:36:20
% 2.55/2.75  :PROOF-FOUND
% 2.55/2.75  * 
%------------------------------------------------------------------------------