TSTP Solution File: SYN571-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN571-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 12:01:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;   7 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

cnf(p11_3,negated_conjecture,
    p11(f5(X),c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_3) ).

cnf(not_p11_6,negated_conjecture,
    ~ p11(X,f3(X,f5(f6(f7(c12))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_6) ).

cnf(p11_7,negated_conjecture,
    ( p11(c14,X)
    | ~ p11(f5(f10(X)),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).

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

cnf(p2_14,negated_conjecture,
    p2(f9(f5(X),f5(Y)),f5(f8(X,Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

cnf(p11_15,negated_conjecture,
    ( p11(X,f3(Y,Z))
    | ~ p11(f9(X,Z),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).

cnf(p11_17,negated_conjecture,
    ( p11(X,Y)
    | ~ p2(Z,X)
    | ~ p2(U,Y)
    | ~ p11(Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).

cnf(25,plain,
    ~ p11(f5(f10(f3(c14,f5(f6(f7(c12)))))),f3(c14,f5(f6(f7(c12))))),
    inference('UR-RESOLVE',[status(thm)],[p11_7,not_p11_6]) ).

cnf(26,plain,
    p2(f5(f8(X,Y)),f9(f5(X),f5(Y))),
    inference('HYPERRESOLVE',[status(thm)],[p2_12,p2_14,p2_2]) ).

cnf(91,plain,
    p11(f9(f5(X),f5(Y)),c14),
    inference('HYPERRESOLVE',[status(thm)],[p11_17,26,p2_2,p11_3]) ).

cnf(115,plain,
    p11(f5(X),f3(c14,f5(Y))),
    inference('HYPERRESOLVE',[status(thm)],[p11_15,91]) ).

cnf(116,plain,
    $false,
    inference('REWRITE',[status(thm)],[25,115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN571-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n026.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 : Mon Jul 11 23:44:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 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 2022-07-11T23:44:42
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T23:44:42
% 0.18/0.52  
% 0.18/0.52  
% 0.18/0.52  #||
% 0.18/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52  % SZS output start Refutation
% See solution above
% 0.18/0.52  ||#
% 0.18/0.52  
% 0.18/0.52  ; Summary of computation:
% 0.18/0.52  ;       298 formulas have been input or derived (from 41 formulas).
% 0.18/0.52  ;       116 (39%) were retained.  Of these,
% 0.18/0.52  ;            1 ( 1%) were simplified or subsumed later,
% 0.18/0.52  ;          115 (99%) are still being kept.
% 0.18/0.52  ; 
% 0.18/0.52  ; Run time in seconds excluding printing time:
% 0.18/0.52  ;     0.003   5%   Read assertion file          (1 call)
% 0.18/0.52  ;     0.001   2%   Assert                       (20 calls)
% 0.18/0.52  ;     0.008  14%   Process new row              (238 calls)
% 0.18/0.52  ;     0.010  18%   Resolution                   (80 calls)
% 0.18/0.52  ;     0.000   0%   Paramodulation               (40 calls)
% 0.18/0.52  ;     0.000   0%   Factoring                    (2 calls)
% 0.18/0.52  ;     0.000   0%   Condensing                   (38 calls)
% 0.18/0.52  ;     0.001   2%   Forward subsumption          (38 calls)
% 0.18/0.52  ;     0.001   2%   Backward subsumption         (25 calls)
% 0.18/0.52  ;     0.001   2%   Clause clause subsumption    (54 calls)
% 0.18/0.52  ;     0.001   2%   Forward simplification       (238 calls)
% 0.18/0.52  ;     0.003   5%   Backward simplification      (116 calls)
% 0.18/0.52  ;     0.000   0%   Ordering                     (46 calls)
% 0.18/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.52  ;     0.028  49%   Other
% 0.18/0.52  ;     0.057        Total
% 0.18/0.52  ;     0.059        Real time
% 0.18/0.52  ; 
% 0.18/0.52  ; Term-hash-array has 237 terms in all.
% 0.18/0.52  ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.18/0.52  ; Feature-vector-row-index has 80 nodes (80 at peak, 80 added, 0 deleted).
% 0.18/0.52  ;  Retrieved 69 possibly forward subsuming rows in 38 calls.
% 0.18/0.52  ;  Retrieved 5 possibly backward subsumed rows in 25 calls.
% 0.18/0.52  ; Path-index has 239 entries (240 at peak, 240 added, 1 deleted).
% 0.18/0.52  ; Path-index has 721 nodes (723 at peak, 723 added, 2 deleted).
% 0.18/0.52  ; Trie-index has 239 entries (240 at peak, 240 added, 1 deleted).
% 0.18/0.52  ; Trie-index has 1,077 nodes (1,089 at peak, 1,089 added, 12 deleted).
% 0.18/0.52  ; Retrieved 317 generalization terms in 279 calls.
% 0.18/0.52  ; Retrieved 104 instance terms in 90 calls.
% 0.18/0.52  ; Retrieved 2,032 unifiable terms in 455 calls.
% 0.18/0.52  ; 
% 0.18/0.52  ; The agenda of rows to process has 5 entries:
% 0.18/0.52  ;     3 with value 13              1 with value 19               1 with value 20
% 0.18/0.52  ; The agenda of rows to give has 74 entries:
% 0.18/0.52  ;     1 with value (4 13)          9 with value (4 19)           2 with value (4 24)
% 0.18/0.52  ;     8 with value (4 14)          8 with value (4 20)           4 with value (4 26)
% 0.18/0.52  ;     4 with value (4 15)         11 with value (4 21)           7 with value (4 27)
% 0.18/0.52  ;     4 with value (4 16)          4 with value (4 22)           3 with value (4 28)
% 0.18/0.52  ;     3 with value (4 17)          1 with value (4 23)           1 with value (4 29)
% 0.18/0.52  ;     4 with value (4 18)
% 0.18/0.52  Evaluation took:
% 0.18/0.52    0.06 seconds of real time
% 0.18/0.52    0.050895 seconds of user run time
% 0.18/0.52    0.009103 seconds of system run time
% 0.18/0.52    0 calls to %EVAL
% 0.18/0.52    0 page faults and
% 0.18/0.52    3,607,168 bytes consed.
% 0.18/0.52  :PROOF-FOUND
% 0.18/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:44:42
% 0.18/0.52  :PROOF-FOUND
% 0.18/0.52  * 
%------------------------------------------------------------------------------