TSTP Solution File: SYN577-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 12:01:49 EDT 2022

% Result   : Unsatisfiable 1.74s 1.99s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (  13 unt;   0 nHn;  14 RR)
%            Number of literals    :   21 (   0 equ;   7 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

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

cnf(p7_5,negated_conjecture,
    p7(c9,c10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_5) ).

cnf(p2_8,negated_conjecture,
    p2(f4(c16,c14),c18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(p2_9,negated_conjecture,
    p2(f4(c15,c14),c17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).

cnf(p2_11,negated_conjecture,
    p2(f5(f6(c9),c19),c17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).

cnf(p2_12,negated_conjecture,
    p2(f5(f6(c9),c20),c18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

cnf(p2_14,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).

cnf(not_p7_20,negated_conjecture,
    ( ~ p7(X,c10)
    | ~ p2(c15,Y)
    | ~ p2(c16,Z)
    | ~ p2(f4(Y,c14),f5(f6(X),c19))
    | ~ p2(f4(Z,c14),f5(f6(X),c20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p7_20) ).

cnf(29,plain,
    p2(c17,f4(c15,c14)),
    inference('HYPERRESOLVE',[status(thm)],[p2_14,p2_9,p2_1]) ).

cnf(30,plain,
    p2(c18,f4(c16,c14)),
    inference('HYPERRESOLVE',[status(thm)],[p2_14,p2_8,p2_1]) ).

cnf(33,plain,
    p2(c17,f5(f6(c9),c19)),
    inference('HYPERRESOLVE',[status(thm)],[p2_14,p2_11,p2_1]) ).

cnf(34,plain,
    p2(c18,f5(f6(c9),c20)),
    inference('HYPERRESOLVE',[status(thm)],[p2_14,p2_12,p2_1]) ).

cnf(400,plain,
    p2(f4(c15,c14),f5(f6(c9),c19)),
    inference('HYPERRESOLVE',[status(thm)],[p2_14,33,29]) ).

cnf(472,plain,
    p2(f4(c16,c14),f5(f6(c9),c20)),
    inference('HYPERRESOLVE',[status(thm)],[p2_14,34,30]) ).

cnf(6989,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_p7_20,400,p7_5,p2_1,p2_1]),472]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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 : Tue Jul 12 02:43:43 EDT 2022
% 0.13/0.34  % 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 2022-07-12T02:43:43
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-12T02:43:43
% 1.74/1.99  
% 1.74/1.99  
% 1.74/1.99  #||
% 1.74/1.99  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/1.99  % SZS output start Refutation
% See solution above
% 1.74/1.99  ||#
% 1.74/1.99  
% 1.74/1.99  ; Summary of computation:
% 1.74/1.99  ;     15380 formulas have been input or derived (from 65 formulas).
% 1.74/1.99  ;      6989 (45%) were retained.  Of these,
% 1.74/1.99  ;         6989 (100%) are still being kept.
% 1.74/1.99  ; 
% 1.74/1.99  ; Run time in seconds excluding printing time:
% 1.74/1.99  ;     0.005   0%   Read assertion file          (1 call)
% 1.74/1.99  ;     0.001   0%   Assert                       (22 calls)
% 1.74/1.99  ;     0.650  43%   Process new row              (14,611 calls)
% 1.74/1.99  ;     0.537  35%   Resolution                   (128 calls)
% 1.74/1.99  ;     0.003   0%   Paramodulation               (64 calls)
% 1.74/1.99  ;     0.000   0%   Condensing                   (10 calls)
% 1.74/1.99  ;     0.002   0%   Forward subsumption          (10 calls)
% 1.74/1.99  ;     0.000   0%   Backward subsumption         (10 calls)
% 1.74/1.99  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 1.74/1.99  ;     0.167  11%   Forward simplification       (14,611 calls)
% 1.74/1.99  ;     0.078   5%   Backward simplification      (6,989 calls)
% 1.74/1.99  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.74/1.99  ;     0.000   0%   Purity testing               (1 call)
% 1.74/1.99  ;     0.074   5%   Other
% 1.74/1.99  ;     1.518        Total
% 1.74/1.99  ;     1.521        Real time
% 1.74/1.99  ; 
% 1.74/1.99  ; Term-hash-array has 17,698 terms in all.
% 1.74/1.99  ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 1.74/1.99  ; Feature-vector-row-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 1.74/1.99  ;  Retrieved 6 possibly forward subsuming rows in 10 calls.
% 1.74/1.99  ;  Retrieved 1 possibly backward subsumed row in 10 calls.
% 1.74/1.99  ; Path-index has 17,710 entries (17,710 at peak, 17,710 added, 0 deleted).
% 1.74/1.99  ; Path-index has 2,499 nodes (2,499 at peak, 2,499 added, 0 deleted).
% 1.74/1.99  ; Trie-index has 17,710 entries (17,710 at peak, 17,710 added, 0 deleted).
% 1.74/1.99  ; Trie-index has 79,500 nodes (79,500 at peak, 79,500 added, 0 deleted).
% 1.74/1.99  ; Retrieved 27,881 generalization terms in 14,645 calls.
% 1.74/1.99  ; Retrieved 6,978 instance terms in 6,978 calls.
% 1.74/1.99  ; Retrieved 1,872,907 unifiable terms in 7,467 calls.
% 1.74/1.99  ; 
% 1.74/1.99  ; The agenda of rows to process has 593 entries:
% 1.74/1.99  ;     2 with value 14             12 with value 19              96 with value 23
% 1.74/1.99  ;     1 with value 15             96 with value 21              24 with value 24
% 1.74/1.99  ;     1 with value 16             48 with value 22             312 with value 25
% 1.74/1.99  ;     1 with value 17
% 1.74/1.99  ; The agenda of rows to give has 6924 entries:
% 1.74/1.99  ;     2 with value (4 13)        180 with value (4 18)         792 with value (4 22)
% 1.74/1.99  ;    26 with value (4 14)        390 with value (4 19)         672 with value (4 23)
% 1.74/1.99  ;    64 with value (4 15)        288 with value (4 20)         639 with value (4 24)
% 1.74/1.99  ;   160 with value (4 16)       1440 with value (4 21)        2172 with value (4 25)
% 1.74/1.99  ;    99 with value (4 17)
% 1.74/1.99  Evaluation took:
% 1.74/1.99    1.521 seconds of real time
% 1.74/1.99    1.429263 seconds of user run time
% 1.74/1.99    0.090921 seconds of system run time
% 1.74/1.99    [Run times include 0.18 seconds GC run time.]
% 1.74/1.99    0 calls to %EVAL
% 1.74/1.99    0 page faults and
% 1.74/1.99    106,107,760 bytes consed.
% 1.74/1.99  :PROOF-FOUND
% 1.74/1.99  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T02:43:45
% 1.74/1.99  :PROOF-FOUND
% 1.74/1.99  * 
%------------------------------------------------------------------------------