TSTP Solution File: SYN574-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 12:01:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  11 unt;   1 nHn;  11 RR)
%            Number of literals    :   30 (   0 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
    p7(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

cnf(p3_3,negated_conjecture,
    p3(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).

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

cnf(p9_5,negated_conjecture,
    p9(c12,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).

cnf(p11_6,negated_conjecture,
    p11(c14,c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).

cnf(p3_7,negated_conjecture,
    p3(f4(f5(X)),f4(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).

cnf(p9_10,negated_conjecture,
    ( p9(X,f4(c14))
    | ~ p9(X,c13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_10) ).

cnf(p3_16,negated_conjecture,
    ( p3(X,Y)
    | ~ p3(Z,X)
    | ~ p3(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_16) ).

cnf(p9_19,negated_conjecture,
    ( p9(X,Y)
    | ~ p7(Z,X)
    | ~ p9(Z,U)
    | ~ p3(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).

cnf(p9_21,negated_conjecture,
    ( p9(f8(X,Y),X)
    | p9(f8(X,Y),f4(Y))
    | ~ p11(Z,c15)
    | ~ p9(c12,X)
    | ~ p2(Y,f5(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_21) ).

cnf(not_p11_22,negated_conjecture,
    ( ~ p11(X,c15)
    | ~ p9(c12,Y)
    | ~ p2(Z,f5(X))
    | ~ p9(f8(Y,Z),Y)
    | ~ p9(f8(Y,Z),f4(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_22) ).

cnf(23,plain,
    p9(c12,f4(c14)),
    inference('HYPERRESOLVE',[status(thm)],[p9_10,p9_5]) ).

cnf(25,plain,
    p3(f4(X),f4(f5(X))),
    inference('HYPERRESOLVE',[status(thm)],[p3_16,p3_7,p3_3]) ).

cnf(33,plain,
    p9(c12,f4(f5(c14))),
    inference('HYPERRESOLVE',[status(thm)],[p9_19,25,p7_2,23]) ).

cnf(38,plain,
    p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))),
    inference('HYPERRESOLVE',[status(thm)],[p9_21,33,p11_6,p2_4]) ).

cnf(39,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_p11_22,33,p11_6,p2_4]),38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 17:00:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T17:00:52
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-11T17:00:52
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/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  ;       105 formulas have been input or derived (from 27 formulas).
% 0.20/0.51  ;        39 (37%) were retained.  Of these,
% 0.20/0.51  ;           39 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.004  11%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (22 calls)
% 0.20/0.51  ;     0.004  11%   Process new row              (79 calls)
% 0.20/0.51  ;     0.002   6%   Resolution                   (52 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (26 calls)
% 0.20/0.51  ;     0.001   3%   Condensing                   (16 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (16 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (16 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (79 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (39 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (6 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  ;     0.037        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 90 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 81 nodes (81 at peak, 81 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 16 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 16 calls.
% 0.20/0.51  ; Path-index has 94 entries (94 at peak, 94 added, 0 deleted).
% 0.20/0.51  ; Path-index has 151 nodes (151 at peak, 151 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 94 entries (94 at peak, 94 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 185 nodes (185 at peak, 185 added, 0 deleted).
% 0.20/0.51  ; Retrieved 88 generalization terms in 104 calls.
% 0.20/0.51  ; Retrieved 22 instance terms in 22 calls.
% 0.20/0.51  ; Retrieved 696 unifiable terms in 221 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to give has 12 entries:
% 0.20/0.51  ;     5 with value (4 13)          2 with value (4 16)           1 with value (4 21)
% 0.20/0.51  ;     2 with value (4 15)          1 with value (4 17)           1 with value (4 25)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.037 seconds of real time
% 0.20/0.51    0.032071 seconds of user run time
% 0.20/0.51    0.005254 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    2,669,656 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T17:00:52
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------