TSTP Solution File: SYN685-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN685-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 12:02:31 EDT 2022

% Result   : Unsatisfiable 0.43s 0.62s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_7,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(p25_11,negated_conjecture,
    p25(c36,c33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_11) ).

cnf(p25_13,negated_conjecture,
    p25(c32,c36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).

cnf(not_p2_19,negated_conjecture,
    ~ p2(X,f18(X,f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).

cnf(p2_31,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).

cnf(p2_40,negated_conjecture,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).

cnf(p2_50,negated_conjecture,
    ( p2(f11(f4(X),c34),f11(f4(c32),c34))
    | ~ p25(X,c33)
    | ~ p25(c32,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_50) ).

cnf(73,plain,
    ~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
    inference('UR-RESOLVE',[status(thm)],[p2_31,p2_40,not_p2_19]) ).

cnf(118,plain,
    p2(f11(f4(c36),c34),f11(f4(c32),c34)),
    inference('HYPERRESOLVE',[status(thm)],[p2_50,p25_11,p25_13]) ).

cnf(623,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p2_31,73,p2_7]),118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN685-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n028.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 : Tue Jul 12 08:30:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:30:30
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-12T08:30:30
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  #||
% 0.43/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.62  % SZS output start Refutation
% See solution above
% 0.43/0.62  ||#
% 0.43/0.62  
% 0.43/0.62  ; Summary of computation:
% 0.43/0.62  ;      1470 formulas have been input or derived (from 85 formulas).
% 0.43/0.62  ;       623 (42%) were retained.  Of these,
% 0.43/0.62  ;          623 (100%) are still being kept.
% 0.43/0.62  ; 
% 0.43/0.62  ; Run time in seconds:
% 0.43/0.62  ;     0.009   7%   Read assertion file          (1 call)
% 0.43/0.62  ;     0.002   1%   Assert                       (55 calls)
% 0.43/0.62  ;     0.048  35%   Process new row              (1,377 calls)
% 0.43/0.62  ;     0.025  18%   Resolution                   (168 calls)
% 0.43/0.62  ;     0.002   1%   Paramodulation               (84 calls)
% 0.43/0.62  ;     0.000   0%   Condensing                   (31 calls)
% 0.43/0.62  ;     0.000   0%   Forward subsumption          (31 calls)
% 0.43/0.62  ;     0.000   0%   Backward subsumption         (31 calls)
% 0.43/0.62  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.43/0.62  ;     0.016  12%   Forward simplification       (1,377 calls)
% 0.43/0.62  ;     0.006   4%   Backward simplification      (623 calls)
% 0.43/0.62  ;     0.000   0%   Ordering                     (3 calls)
% 0.43/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.43/0.62  ;     0.000   0%   Purity testing               (1 call)
% 0.43/0.62  ;     0.029  21%   Other
% 0.43/0.62  ;     0.137        Total
% 0.43/0.62  ;     0.148        Real time
% 0.43/0.62  ; 
% 0.43/0.62  ; Term-hash-array has 1,529 terms in all.
% 0.43/0.62  ; Feature-vector-row-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.43/0.62  ; Feature-vector-row-index has 140 nodes (140 at peak, 140 added, 0 deleted).
% 0.43/0.62  ;  Retrieved 2 possibly forward subsuming rows in 31 calls.
% 0.43/0.62  ;  Retrieved 0 possibly backward subsumed rows in 31 calls.
% 0.43/0.62  ; Path-index has 1,539 entries (1,539 at peak, 1,539 added, 0 deleted).
% 0.43/0.62  ; Path-index has 1,541 nodes (1,541 at peak, 1,541 added, 0 deleted).
% 0.43/0.62  ; Trie-index has 1,539 entries (1,539 at peak, 1,539 added, 0 deleted).
% 0.43/0.62  ; Trie-index has 7,164 nodes (7,164 at peak, 7,164 added, 0 deleted).
% 0.43/0.62  ; Retrieved 2,220 generalization terms in 1,419 calls.
% 0.43/0.62  ; Retrieved 591 instance terms in 591 calls.
% 0.43/0.62  ; Retrieved 34,846 unifiable terms in 1,699 calls.
% 0.43/0.62  ; 
% 0.43/0.62  ; The agenda of rows to process has 1 entry:
% 0.43/0.62  ;     1 with value 14
% 0.43/0.62  ; The agenda of rows to give has 538 entries:
% 0.43/0.62  ;     1 with value (4 9)          51 with value (4 18)           8 with value (4 24)
% 0.43/0.62  ;    11 with value (4 13)         52 with value (4 19)           8 with value (4 25)
% 0.43/0.62  ;    22 with value (4 14)         55 with value (4 20)          24 with value (4 27)
% 0.43/0.62  ;    14 with value (4 15)         56 with value (4 21)          24 with value (4 28)
% 0.43/0.62  ;    35 with value (4 16)         50 with value (4 22)          32 with value (4 29)
% 0.43/0.62  ;    43 with value (4 17)         44 with value (4 23)           8 with value (4 33)
% 0.43/0.62  Evaluation took:
% 0.43/0.62    0.148 seconds of real time
% 0.43/0.62    0.121348 seconds of user run time
% 0.43/0.62    0.016198 seconds of system run time
% 0.43/0.62    0 calls to %EVAL
% 0.43/0.62    0 page faults and
% 0.43/0.62    9,430,600 bytes consed.
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:30:30
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  * 
%------------------------------------------------------------------------------