TSTP Solution File: SYN565-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN565-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 12:01:44 EDT 2022

% Result   : Unsatisfiable 0.18s 0.57s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   18 (  13 unt;   0 nHn;   7 RR)
%            Number of literals    :   27 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

cnf(p2_3,negated_conjecture,
    p2(f5(f7(X)),f5(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).

cnf(p4_4,negated_conjecture,
    p4(f8(X,Y),f6(X,f7(Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).

cnf(p4_5,negated_conjecture,
    p4(f7(f8(X,Y)),f8(Y,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

cnf(p2_6,negated_conjecture,
    ( p2(f5(X),f5(Y))
    | ~ p4(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

cnf(p2_8,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(p10_10,negated_conjecture,
    p10(f5(X),f3(f5(f6(X,Y)),f5(Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).

cnf(not_p10_11,negated_conjecture,
    ~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).

cnf(p10_13,negated_conjecture,
    ( p10(f9(X,Y),Z)
    | ~ p10(X,f3(Z,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).

cnf(p10_14,negated_conjecture,
    ( p10(X,Y)
    | ~ p2(Z,X)
    | ~ p2(U,Y)
    | ~ p10(Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).

cnf(p2_17,negated_conjecture,
    ( p2(f9(X,Y),f9(Z,U))
    | ~ p2(X,Z)
    | ~ p2(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).

cnf(19,plain,
    p2(f5(f8(X,Y)),f5(f6(X,f7(Y)))),
    inference('HYPERRESOLVE',[status(thm)],[p2_6,p4_4]) ).

cnf(20,plain,
    p2(f5(f7(f8(X,Y))),f5(f8(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[p2_6,p4_5]) ).

cnf(26,plain,
    p10(f9(f5(X),f5(Y)),f5(f6(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[p10_13,p10_10]) ).

cnf(41,plain,
    p2(f9(X,f5(f7(Y))),f9(X,f5(Y))),
    inference('HYPERRESOLVE',[status(thm)],[p2_17,p2_1,p2_3]) ).

cnf(233,plain,
    p2(f5(f8(X,Y)),f5(f8(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[p2_8,20,p2_3]) ).

cnf(270,plain,
    p2(f5(f6(X,f7(Y))),f5(f8(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[p2_8,233,19]) ).

cnf(465,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p10_14,41,not_p10_11,26]),270]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN565-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 20:01:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:01:54
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T20:01:54
% 0.18/0.57  
% 0.18/0.57  
% 0.18/0.57  #||
% 0.18/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.57  % SZS output start Refutation
% See solution above
% 0.18/0.57  ||#
% 0.18/0.57  
% 0.18/0.57  ; Summary of computation:
% 0.18/0.57  ;      1235 formulas have been input or derived (from 39 formulas).
% 0.18/0.57  ;       465 (38%) were retained.  Of these,
% 0.18/0.57  ;          465 (100%) are still being kept.
% 0.18/0.57  ; 
% 0.18/0.57  ; Run time in seconds excluding printing time:
% 0.18/0.57  ;     0.004   4%   Read assertion file          (1 call)
% 0.18/0.57  ;     0.000   0%   Assert                       (18 calls)
% 0.18/0.57  ;     0.038  34%   Process new row              (1,086 calls)
% 0.18/0.57  ;     0.016  14%   Resolution                   (76 calls)
% 0.18/0.57  ;     0.002   2%   Paramodulation               (38 calls)
% 0.18/0.57  ;     0.000   0%   Condensing                   (11 calls)
% 0.18/0.57  ;     0.000   0%   Forward subsumption          (11 calls)
% 0.18/0.57  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.18/0.57  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.18/0.57  ;     0.015  13%   Forward simplification       (1,086 calls)
% 0.18/0.57  ;     0.010   9%   Backward simplification      (465 calls)
% 0.18/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.57  ;     0.028  25%   Other
% 0.18/0.57  ;     0.113        Total
% 0.18/0.57  ;     0.114        Real time
% 0.18/0.57  ; 
% 0.18/0.57  ; Term-hash-array has 985 terms in all.
% 0.18/0.57  ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.18/0.57  ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.18/0.57  ;  Retrieved 4 possibly forward subsuming rows in 11 calls.
% 0.18/0.57  ;  Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.18/0.57  ; Path-index has 987 entries (987 at peak, 987 added, 0 deleted).
% 0.18/0.57  ; Path-index has 1,196 nodes (1,196 at peak, 1,196 added, 0 deleted).
% 0.18/0.57  ; Trie-index has 987 entries (987 at peak, 987 added, 0 deleted).
% 0.18/0.57  ; Trie-index has 4,341 nodes (4,341 at peak, 4,341 added, 0 deleted).
% 0.18/0.57  ; Retrieved 2,007 generalization terms in 1,102 calls.
% 0.18/0.57  ; Retrieved 457 instance terms in 453 calls.
% 0.18/0.57  ; Retrieved 18,952 unifiable terms in 930 calls.
% 0.18/0.57  ; 
% 0.18/0.57  ; The agenda of rows to process has 98 entries:
% 0.18/0.57  ;     2 with value 16              1 with value 19              16 with value 24
% 0.18/0.57  ;     2 with value 17              9 with value 21              16 with value 26
% 0.18/0.57  ;     3 with value 18              1 with value 22              48 with value 28
% 0.18/0.57  ; The agenda of rows to give has 426 entries:
% 0.18/0.57  ;     7 with value (4 15)         17 with value (4 20)          33 with value (4 24)
% 0.18/0.57  ;    12 with value (4 16)         30 with value (4 21)          40 with value (4 25)
% 0.18/0.57  ;    23 with value (4 17)         27 with value (4 22)          75 with value (4 26)
% 0.18/0.57  ;    21 with value (4 18)         44 with value (4 23)          72 with value (4 28)
% 0.18/0.57  ;    25 with value (4 19)
% 0.18/0.57  Evaluation took:
% 0.18/0.57    0.115 seconds of real time
% 0.18/0.57    0.10063 seconds of user run time
% 0.18/0.57    0.01426 seconds of system run time
% 0.18/0.57    0 calls to %EVAL
% 0.18/0.57    0 page faults and
% 0.18/0.57    8,044,240 bytes consed.
% 0.18/0.57  :PROOF-FOUND
% 0.18/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:01:55
% 0.18/0.57  :PROOF-FOUND
% 0.18/0.57  * 
%------------------------------------------------------------------------------