TSTP Solution File: SYN557-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 12:01:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;   8 RR)
%            Number of literals    :   15 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

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

cnf(not_p2_3,negated_conjecture,
    ~ p2(c6,f3(c8,f5(c9))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).

cnf(p2_4,negated_conjecture,
    p2(f3(X,Y),f3(Y,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

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

cnf(p2_8,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(f3(X,Z),f3(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(p2_10,negated_conjecture,
    p2(f3(X,f3(Y,Z)),f3(Y,f3(X,Z))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).

cnf(p2_12,negated_conjecture,
    p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

cnf(16,plain,
    ~ p2(f3(c6,X),f3(f3(c8,f5(c9)),X)),
    inference('UR-RESOLVE',[status(thm)],[p2_8,not_p2_3]) ).

cnf(18,plain,
    p2(f3(X,f3(Y,Z)),f3(f3(X,Z),Y)),
    inference('HYPERRESOLVE',[status(thm)],[p2_6,p2_10,p2_4]) ).

cnf(28,plain,
    p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))),
    inference('HYPERRESOLVE',[status(thm)],[p2_6,p2_12,p2_1]) ).

cnf(80,plain,
    ~ p2(f3(c8,f3(X,f5(c9))),f3(c6,X)),
    inference('UR-RESOLVE',[status(thm)],[p2_6,18,16]) ).

cnf(81,plain,
    $false,
    inference('REWRITE',[status(thm)],[28,80]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 08:07:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:07:25
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-12T08:07:25
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/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  ;       266 formulas have been input or derived (from 20 formulas).
% 0.20/0.52  ;        81 (30%) were retained.  Of these,
% 0.20/0.52  ;            1 ( 1%) were simplified or subsumed later,
% 0.20/0.52  ;           80 (99%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.002   4%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (13 calls)
% 0.20/0.52  ;     0.008  17%   Process new row              (210 calls)
% 0.20/0.52  ;     0.003   7%   Resolution                   (38 calls)
% 0.20/0.52  ;     0.001   2%   Paramodulation               (19 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (6 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.52  ;     0.005  11%   Forward simplification       (210 calls)
% 0.20/0.52  ;     0.002   4%   Backward simplification      (81 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.025  54%   Other
% 0.20/0.52  ;     0.046        Total
% 0.20/0.52  ;     0.049        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 207 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 2 possibly forward subsuming rows in 6 calls.
% 0.20/0.52  ;  Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.52  ; Path-index has 210 entries (211 at peak, 211 added, 1 deleted).
% 0.20/0.52  ; Path-index has 231 nodes (232 at peak, 232 added, 1 deleted).
% 0.20/0.52  ; Trie-index has 210 entries (211 at peak, 211 added, 1 deleted).
% 0.20/0.52  ; Trie-index has 744 nodes (747 at peak, 747 added, 3 deleted).
% 0.20/0.52  ; Retrieved 816 generalization terms in 216 calls.
% 0.20/0.52  ; Retrieved 202 instance terms in 74 calls.
% 0.20/0.52  ; Retrieved 1,998 unifiable terms in 209 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 38 entries:
% 0.20/0.52  ;    14 with value 21             16 with value 29               4 with value 31
% 0.20/0.52  ;     4 with value 25
% 0.20/0.52  ; The agenda of rows to give has 60 entries:
% 0.20/0.52  ;     5 with value (4 15)          7 with value (4 21)           4 with value (4 28)
% 0.20/0.52  ;    10 with value (4 16)          2 with value (4 22)           5 with value (4 29)
% 0.20/0.52  ;     3 with value (4 17)          4 with value (4 24)           4 with value (4 30)
% 0.20/0.52  ;     1 with value (4 19)          2 with value (4 25)           3 with value (4 31)
% 0.20/0.52  ;     8 with value (4 20)          2 with value (4 26)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.049 seconds of real time
% 0.20/0.52    0.043851 seconds of user run time
% 0.20/0.52    0.005054 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,050,144 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:07:25
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------