TSTP Solution File: SYN626-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 12:02:08 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  10 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 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(p7_2,negated_conjecture,
    p7(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).

cnf(p6_3,negated_conjecture,
    p6(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).

cnf(p16_8,negated_conjecture,
    ( p16(X,Y)
    | ~ p15(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_8) ).

cnf(p15_9,negated_conjecture,
    p15(c22,f8(f5(c20),f9(c23,c24))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_9) ).

cnf(p7_15,negated_conjecture,
    ( p7(f12(f13(X)),X)
    | ~ p16(c22,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_15) ).

cnf(p7_17,negated_conjecture,
    ( p7(X,Y)
    | ~ p7(Z,X)
    | ~ p7(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_17) ).

cnf(not_p15_24,negated_conjecture,
    ~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_24) ).

cnf(p15_31,negated_conjecture,
    ( p15(X,Y)
    | ~ p6(Z,X)
    | ~ p7(U,Y)
    | ~ p15(Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_31) ).

cnf(36,plain,
    p16(c22,f8(f5(c20),f9(c23,c24))),
    inference('HYPERRESOLVE',[status(thm)],[p16_8,p15_9]) ).

cnf(40,plain,
    ~ p7(f8(f5(c20),f9(c23,c24)),f12(f13(f8(f5(c20),f9(c23,c24))))),
    inference('UR-RESOLVE',[status(thm)],[p15_31,not_p15_24,p6_3,p15_9]) ).

cnf(45,plain,
    p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))),
    inference('HYPERRESOLVE',[status(thm)],[p7_15,36]) ).

cnf(79,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p7_17,40,p7_2]),45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 18:22:53 EDT 2022
% 0.20/0.34  % 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 2022-07-11T18:22:53
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T18:22:53
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       337 formulas have been input or derived (from 54 formulas).
% 0.20/0.52  ;        79 (23%) were retained.  Of these,
% 0.20/0.52  ;           79 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.006  12%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   2%   Assert                       (35 calls)
% 0.20/0.52  ;     0.005  10%   Process new row              (262 calls)
% 0.20/0.52  ;     0.011  22%   Resolution                   (106 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (53 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (26 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (26 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (26 calls)
% 0.20/0.52  ;     0.001   2%   Forward simplification       (262 calls)
% 0.20/0.52  ;     0.002   4%   Backward simplification      (79 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (8 calls)
% 0.20/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.023  46%   Other
% 0.20/0.52  ;     0.050        Total
% 0.20/0.52  ;     0.052        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 144 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 90 nodes (90 at peak, 90 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 4 possibly forward subsuming rows in 26 calls.
% 0.20/0.52  ;  Retrieved 0 possibly backward subsumed rows in 26 calls.
% 0.20/0.52  ; Path-index has 149 entries (149 at peak, 149 added, 0 deleted).
% 0.20/0.52  ; Path-index has 640 nodes (640 at peak, 640 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 149 entries (149 at peak, 149 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 509 nodes (509 at peak, 509 added, 0 deleted).
% 0.20/0.52  ; Retrieved 384 generalization terms in 279 calls.
% 0.20/0.52  ; Retrieved 52 instance terms in 52 calls.
% 0.20/0.52  ; Retrieved 1,953 unifiable terms in 723 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 3 entries:
% 0.20/0.52  ;     1 with value 22              1 with value 26               1 with value 32
% 0.20/0.52  ; The agenda of rows to give has 25 entries:
% 0.20/0.52  ;     1 with value (4 21)          2 with value (4 24)           2 with value (4 32)
% 0.20/0.52  ;     2 with value (4 22)          8 with value (4 27)           1 with value (4 34)
% 0.20/0.52  ;     7 with value (4 23)          2 with value (4 28)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.053 seconds of real time
% 0.20/0.52    0.043356 seconds of user run time
% 0.20/0.52    0.009704 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    3,270,952 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T18:22:53
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------