TSTP Solution File: SYN694-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN694-1 : 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 19.66s 19.82s
% Output   : Refutation 19.66s
% 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/sandbox2/benchmark/theBenchmark.p',p10_7) ).

cnf(p2_12,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

cnf(p2_18,negated_conjecture,
    p2(c44,c45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).

cnf(p3_36,negated_conjecture,
    ( p3(f4(X),f4(Y))
    | ~ p2(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).

cnf(p2_42,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_42) ).

cnf(p2_55,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_55) ).

cnf(not_p2_56,negated_conjecture,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_56) ).

cnf(p2_61,negated_conjecture,
    ( p2(f11(X,Y),f11(Z,U))
    | ~ p10(Y,U)
    | ~ p3(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).

cnf(82,plain,
    p3(f4(c44),f4(c45)),
    inference('HYPERRESOLVE',[status(thm)],[p3_36,p2_18]) ).

cnf(135,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference('HYPERRESOLVE',[status(thm)],[p2_42,p2_55,p2_12]) ).

cnf(471,plain,
    p2(f11(f4(c44),X),f11(f4(c45),X)),
    inference('HYPERRESOLVE',[status(thm)],[p2_61,82,p10_7]) ).

cnf(50209,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p2_42,471,not_p2_56]),135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN694-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 23:53:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/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  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:53:17
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-11T23:53:17
% 19.66/19.82  
% 19.66/19.82  
% 19.66/19.82  #||
% 19.66/19.82  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.66/19.82  % SZS output start Refutation
% See solution above
% 19.66/19.82  ||#
% 19.66/19.82  
% 19.66/19.82  ; Summary of computation:
% 19.66/19.82  ;    105076 formulas have been input or derived (from 277 formulas).
% 19.66/19.82  ;     50209 (48%) were retained.  Of these,
% 19.66/19.82  ;        50209 (100%) are still being kept.
% 19.66/19.82  ; 
% 19.66/19.82  ; Run time in seconds excluding printing time:
% 19.66/19.82  ;     0.008   0%   Read assertion file          (1 call)
% 19.66/19.82  ;     0.000   0%   Assert                       (73 calls)
% 19.66/19.82  ;     5.214  27%   Process new row              (103,698 calls)
% 19.66/19.82  ;    11.527  60%   Resolution                   (552 calls)
% 19.66/19.82  ;     0.013   0%   Paramodulation               (276 calls)
% 19.66/19.82  ;     0.001   0%   Condensing                   (43 calls)
% 19.66/19.82  ;     0.000   0%   Forward subsumption          (43 calls)
% 19.66/19.82  ;     0.000   0%   Backward subsumption         (43 calls)
% 19.66/19.82  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 19.66/19.82  ;     1.411   7%   Forward simplification       (103,698 calls)
% 19.66/19.82  ;     0.870   4%   Backward simplification      (50,209 calls)
% 19.66/19.82  ;     0.000   0%   Ordering                     (3 calls)
% 19.66/19.82  ;     0.000   0%   Sortal reasoning             (32 calls)
% 19.66/19.82  ;     0.000   0%   Purity testing               (1 call)
% 19.66/19.82  ;     0.311   2%   Other
% 19.66/19.82  ;    19.355        Total
% 19.66/19.82  ;    19.355        Real time
% 19.66/19.82  ; 
% 19.66/19.82  ; Term-hash-array has 128,051 terms in all.
% 19.66/19.82  ; Feature-vector-row-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 19.66/19.82  ; Feature-vector-row-index has 223 nodes (223 at peak, 223 added, 0 deleted).
% 19.66/19.82  ;  Retrieved 6 possibly forward subsuming rows in 43 calls.
% 19.66/19.82  ;  Retrieved 0 possibly backward subsumed rows in 43 calls.
% 19.66/19.82  ; Path-index has 128,065 entries (128,065 at peak, 128,065 added, 0 deleted).
% 19.66/19.82  ; Path-index has 5,429 nodes (5,429 at peak, 5,429 added, 0 deleted).
% 19.66/19.82  ; Trie-index has 128,065 entries (128,065 at peak, 128,065 added, 0 deleted).
% 19.66/19.82  ; Trie-index has 583,881 nodes (583,881 at peak, 583,881 added, 0 deleted).
% 19.66/19.82  ; Retrieved 323,262 generalization terms in 103,750 calls.
% 19.66/19.82  ; Retrieved 125,930 instance terms in 50,165 calls.
% 19.66/19.82  ; Retrieved 31,439,762 unifiable terms in 59,169 calls.
% 19.66/19.82  ; 
% 19.66/19.82  ; The agenda of rows to process has 1184 entries:
% 19.66/19.82  ;    32 with value 22            320 with value 25               8 with value 31
% 19.66/19.82  ;    64 with value 23            472 with value 26              16 with value 33
% 19.66/19.82  ;   272 with value 24
% 19.66/19.82  ; The agenda of rows to give has 49932 entries:
% 19.66/19.82  ;    56 with value (4 14)       4931 with value (4 22)         204 with value (4 29)
% 19.66/19.82  ;   173 with value (4 15)       7756 with value (4 23)         224 with value (4 30)
% 19.66/19.82  ;   363 with value (4 16)      10465 with value (4 24)         504 with value (4 31)
% 19.66/19.82  ;   598 with value (4 17)       9248 with value (4 25)         272 with value (4 32)
% 19.66/19.82  ;   966 with value (4 18)       6754 with value (4 26)         450 with value (4 33)
% 19.66/19.82  ;  1410 with value (4 19)         40 with value (4 27)          10 with value (4 35)
% 19.66/19.82  ;  2098 with value (4 20)         76 with value (4 28)           6 with value (4 36)
% 19.66/19.82  ;  3328 with value (4 21)
% 19.66/19.82  Evaluation took:
% 19.66/19.82    19.359 seconds of real time
% 19.66/19.82    18.515066 seconds of user run time
% 19.66/19.82    0.845007 seconds of system run time
% 19.66/19.82    [Run times include 3.607 seconds GC run time.]
% 19.66/19.82    0 calls to %EVAL
% 19.66/19.82    0 page faults and
% 19.66/19.82    949,161,432 bytes consed.
% 19.66/19.82  :PROOF-FOUND
% 19.66/19.82  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:53:37
% 19.66/19.82  :PROOF-FOUND
% 19.66/19.82  * 
%------------------------------------------------------------------------------