TSTP Solution File: SYN554-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 12:01:39 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   9 unt;   1 nHn;  10 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(not_p4_2,negated_conjecture,
    ~ p4(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_2) ).

cnf(not_p2_3,negated_conjecture,
    ~ p2(c6,c7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).

cnf(p2_4,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(p2_5,negated_conjecture,
    ( p2(X,Y)
    | p4(X,Y)
    | p4(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(p4_7,negated_conjecture,
    ( p4(f3(c5,X),f3(c5,Y))
    | ~ p4(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).

cnf(p4_8,negated_conjecture,
    ( p4(X,Y)
    | ~ p2(Z,Y)
    | ~ p4(U,Z)
    | ~ p2(U,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).

cnf(14,plain,
    ~ p4(f3(c5,c6),f3(c5,c7)),
    inference('UR-RESOLVE',[status(thm)],[p4_8,not_p4_2,p2_1,p2_4]) ).

cnf(15,plain,
    ~ p4(f3(c5,c7),f3(c5,c6)),
    inference('UR-RESOLVE',[status(thm)],[p4_8,not_p4_2,p2_4,p2_1]) ).

cnf(32,plain,
    ~ p4(c6,c7),
    inference('UR-RESOLVE',[status(thm)],[p4_7,14]) ).

cnf(33,plain,
    p4(c7,c6),
    inference('UR-RESOLVE',[status(thm)],[p2_5,32,not_p2_3]) ).

cnf(34,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p4_7,33]),15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 20:30:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:30:50
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-11T20:30:50
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;       102 formulas have been input or derived (from 15 formulas).
% 0.20/0.51  ;        34 (33%) were retained.  Of these,
% 0.20/0.51  ;           34 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   6%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (9 calls)
% 0.20/0.51  ;     0.003   9%   Process new row              (94 calls)
% 0.20/0.51  ;     0.001   3%   Resolution                   (28 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (14 calls)
% 0.20/0.51  ;     0.001   3%   Factoring                    (1 call)
% 0.20/0.51  ;     0.000   0%   Condensing                   (17 calls)
% 0.20/0.51  ;     0.003   9%   Forward subsumption          (17 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (55 calls)
% 0.20/0.51  ;     0.001   3%   Forward simplification       (94 calls)
% 0.20/0.51  ;     0.002   6%   Backward simplification      (34 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (65 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  63%   Other
% 0.20/0.51  ;     0.035        Total
% 0.20/0.51  ;     0.036        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 52 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 42 possibly forward subsuming rows in 17 calls.
% 0.20/0.51  ;  Retrieved 13 possibly backward subsumed rows in 15 calls.
% 0.20/0.51  ; Path-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.20/0.51  ; Path-index has 96 nodes (96 at peak, 96 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 150 nodes (150 at peak, 150 added, 0 deleted).
% 0.20/0.51  ; Retrieved 147 generalization terms in 139 calls.
% 0.20/0.51  ; Retrieved 18 instance terms in 18 calls.
% 0.20/0.51  ; Retrieved 681 unifiable terms in 166 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to give has 19 entries:
% 0.20/0.51  ;     1 with value (4 10)          2 with value (4 18)           4 with value (4 22)
% 0.20/0.51  ;     2 with value (4 15)          1 with value (4 19)           4 with value (4 23)
% 0.20/0.51  ;     2 with value (4 16)          3 with value (4 20)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.037 seconds of real time
% 0.20/0.51    0.031327 seconds of user run time
% 0.20/0.51    0.005124 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,271,880 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:30:50
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------