TSTP Solution File: SYN569-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 12:01:45 EDT 2022

% Result   : Unsatisfiable 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  13 unt;   0 nHn;  17 RR)
%            Number of literals    :   30 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

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

cnf(p8_3,negated_conjecture,
    p8(c14,c12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

cnf(p8_5,negated_conjecture,
    p8(c11,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).

cnf(p9_6,negated_conjecture,
    p9(c13,c15,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).

cnf(p10_7,negated_conjecture,
    ( p10(X,Y)
    | ~ p8(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).

cnf(p2_10,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

cnf(p2_11,negated_conjecture,
    ( p2(X,Y)
    | ~ p9(Z,X,U)
    | ~ p9(Z,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

cnf(p9_12,negated_conjecture,
    ( p9(c13,f3(X),X)
    | ~ p10(X,c12)
    | ~ p10(c11,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).

cnf(p2_15,negated_conjecture,
    p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).

cnf(p2_16,negated_conjecture,
    ( p2(f4(X,Y),f4(Z,U))
    | ~ p2(X,Z)
    | ~ p2(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).

cnf(not_p8_20,negated_conjecture,
    ( ~ p8(X,c12)
    | ~ p8(c11,X)
    | ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).

cnf(21,plain,
    p10(c14,c12),
    inference('HYPERRESOLVE',[status(thm)],[p10_7,p8_3]) ).

cnf(23,plain,
    p10(c11,c14),
    inference('HYPERRESOLVE',[status(thm)],[p10_7,p8_5]) ).

cnf(24,plain,
    p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
    inference('HYPERRESOLVE',[status(thm)],[p2_10,p2_15,p2_1]) ).

cnf(33,plain,
    ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
    inference('UR-RESOLVE',[status(thm)],[not_p8_20,p8_3,p8_5]) ).

cnf(34,plain,
    p9(c13,f3(c14),c14),
    inference('HYPERRESOLVE',[status(thm)],[p9_12,23,21]) ).

cnf(36,plain,
    p2(c15,f3(c14)),
    inference('HYPERRESOLVE',[status(thm)],[p2_11,34,p9_6]) ).

cnf(54,plain,
    p2(f4(X,c15),f4(X,f3(c14))),
    inference('HYPERRESOLVE',[status(thm)],[p2_16,36,p2_1]) ).

cnf(1226,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p2_10,24,54]),33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 21:15:28 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:15:28
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T21:15:28
% 0.61/0.79  
% 0.61/0.79  
% 0.61/0.79  #||
% 0.61/0.79  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79  % SZS output start Refutation
% See solution above
% 0.61/0.79  ||#
% 0.61/0.79  
% 0.61/0.79  ; Summary of computation:
% 0.61/0.79  ;      3047 formulas have been input or derived (from 48 formulas).
% 0.61/0.79  ;      1226 (40%) were retained.  Of these,
% 0.61/0.79  ;         1226 (100%) are still being kept.
% 0.61/0.79  ; 
% 0.61/0.79  ; Run time in seconds excluding printing time:
% 0.61/0.79  ;     0.004   1%   Read assertion file          (1 call)
% 0.61/0.79  ;     0.001   0%   Assert                       (20 calls)
% 0.61/0.79  ;     0.111  37%   Process new row              (2,753 calls)
% 0.61/0.79  ;     0.088  29%   Resolution                   (94 calls)
% 0.61/0.79  ;     0.000   0%   Paramodulation               (47 calls)
% 0.61/0.79  ;     0.000   0%   Condensing                   (13 calls)
% 0.61/0.79  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.61/0.79  ;     0.001   0%   Backward subsumption         (13 calls)
% 0.61/0.79  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.61/0.79  ;     0.050  17%   Forward simplification       (2,753 calls)
% 0.61/0.79  ;     0.013   4%   Backward simplification      (1,226 calls)
% 0.61/0.79  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.61/0.79  ;     0.000   0%   Purity testing               (1 call)
% 0.61/0.79  ;     0.030  10%   Other
% 0.61/0.79  ;     0.299        Total
% 0.61/0.79  ;     0.301        Real time
% 0.61/0.79  ; 
% 0.61/0.79  ; Term-hash-array has 2,561 terms in all.
% 0.61/0.79  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.61/0.79  ; Feature-vector-row-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.61/0.79  ;  Retrieved 3 possibly forward subsuming rows in 13 calls.
% 0.61/0.79  ;  Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.61/0.79  ; Path-index has 2,566 entries (2,566 at peak, 2,566 added, 0 deleted).
% 0.61/0.79  ; Path-index has 953 nodes (953 at peak, 953 added, 0 deleted).
% 0.61/0.79  ; Trie-index has 2,566 entries (2,566 at peak, 2,566 added, 0 deleted).
% 0.61/0.79  ; Trie-index has 14,769 nodes (14,769 at peak, 14,769 added, 0 deleted).
% 0.61/0.79  ; Retrieved 8,424 generalization terms in 2,771 calls.
% 0.61/0.79  ; Retrieved 1,212 instance terms in 1,212 calls.
% 0.61/0.79  ; Retrieved 200,053 unifiable terms in 5,853 calls.
% 0.61/0.79  ; 
% 0.61/0.79  ; The agenda of rows to process has 205 entries:
% 0.61/0.79  ;     3 with value 22             16 with value 29              64 with value 32
% 0.61/0.79  ;    10 with value 23             80 with value 31              16 with value 33
% 0.61/0.79  ;    16 with value 26
% 0.61/0.79  ; The agenda of rows to give has 1178 entries:
% 0.61/0.79  ;     2 with value (4 17)        133 with value (4 22)         320 with value (4 27)
% 0.61/0.79  ;     1 with value (4 18)         64 with value (4 23)         128 with value (4 28)
% 0.61/0.79  ;    20 with value (4 19)         80 with value (4 24)           8 with value (4 29)
% 0.61/0.79  ;    25 with value (4 20)         64 with value (4 25)          40 with value (4 31)
% 0.61/0.79  ;    51 with value (4 21)        208 with value (4 26)          34 with value (4 32)
% 0.61/0.79  Evaluation took:
% 0.61/0.79    0.301 seconds of real time
% 0.61/0.79    0.28051 seconds of user run time
% 0.61/0.79    0.020083 seconds of system run time
% 0.61/0.79    [Run times include 0.015 seconds GC run time.]
% 0.61/0.79    0 calls to %EVAL
% 0.61/0.79    0 page faults and
% 0.61/0.79    19,252,520 bytes consed.
% 0.61/0.79  :PROOF-FOUND
% 0.61/0.79  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:15:28
% 0.61/0.79  :PROOF-FOUND
% 0.61/0.79  * 
%------------------------------------------------------------------------------