TSTP Solution File: SYO629-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 19:44:39 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   7 unt;   4 nHn;  10 RR)
%            Number of literals    :   30 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   17 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_8_01,axiom,
    ~ 'E'(f(X),f(g(X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_01) ).

cnf(clause_0_02,axiom,
    iLEQ(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_02) ).

cnf(clause_11_03,axiom,
    ( ~ 'E'('0',f(X))
    | ~ 'E'('0',f(g(X)))
    | 'E'(f(X),f(g(X))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_03) ).

cnf(4,plain,
    ( ~ 'E'('0',f(X))
    | ~ 'E'('0',f(g(X))) ),
    inference('REWRITE',[status(thm)],[clause_11_03,clause_8_01]) ).

cnf(clause_6_04,axiom,
    ( 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).

cnf(clause_7_05,axiom,
    ~ 'LE'(f(X),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_05) ).

cnf(clause_10_06,axiom,
    ( ~ 'LE'(f(X),s('0'))
    | ~ iLEQ(X,Y)
    | 'E'('0',f(Y))
    | 'LE'(f(Y),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_06) ).

cnf(8,plain,
    ( ~ 'LE'(f(X),s('0'))
    | ~ iLEQ(X,Y)
    | 'E'('0',f(Y)) ),
    inference('REWRITE',[status(thm)],[clause_10_06,clause_7_05]) ).

cnf(clause_1_07,axiom,
    ( ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(g(X)))
    | 'E'(f(X),f(g(X))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_07) ).

cnf(10,plain,
    ( ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(g(X))) ),
    inference('REWRITE',[status(thm)],[clause_1_07,clause_8_01]) ).

cnf(clause_3_09,axiom,
    iLEQ(X,g(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_09) ).

cnf(12,plain,
    ( 'E'(s('0'),f(X))
    | 'E'('0',f(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[8,clause_6_04,clause_0_02]) ).

cnf(13,plain,
    ( 'E'(s('0'),f(X))
    | 'E'('0',f(g(X))) ),
    inference('HYPERRESOLVE',[status(thm)],[8,clause_6_04,clause_3_09]) ).

cnf(15,plain,
    'E'('0',f(g(X))),
    inference('HYPERRESOLVE',[status(thm)],[10,13,12]) ).

cnf(16,plain,
    ~ 'E'('0',f(X)),
    inference('REWRITE',[status(thm)],[4,15]) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[15,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% 0.14/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n008.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 : Sat Jul  9 08:10:38 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T08:10:38
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-09T08:10:38
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;        29 formulas have been input or derived (from 11 formulas).
% 0.20/0.53  ;        17 (59%) were retained.  Of these,
% 0.20/0.53  ;            9 (53%) were simplified or subsumed later,
% 0.20/0.53  ;            8 (47%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.001   3%   Assert                       (12 calls)
% 0.20/0.53  ;     0.000   0%   Process new row              (19 calls)
% 0.20/0.53  ;     0.001   3%   Resolution                   (20 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (10 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.53  ;     0.000   0%   Condensing                   (8 calls)
% 0.20/0.53  ;     0.000   0%   Forward subsumption          (8 calls)
% 0.20/0.53  ;     0.001   3%   Backward subsumption         (7 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.20/0.53  ;     0.000   0%   Forward simplification       (19 calls)
% 0.20/0.53  ;     0.001   3%   Backward simplification      (14 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (17 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.023  79%   Other
% 0.20/0.53  ;     0.029        Total
% 0.20/0.53  ;     0.031        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 16 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 2 entries (7 at peak, 7 added, 5 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 20 nodes (48 at peak, 48 added, 28 deleted).
% 0.20/0.53  ;  Retrieved 2 possibly forward subsuming rows in 8 calls.
% 0.20/0.53  ;  Retrieved 1 possibly backward subsumed row in 7 calls.
% 0.20/0.53  ; Path-index has 13 entries (17 at peak, 17 added, 4 deleted).
% 0.20/0.53  ; Path-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 13 entries (17 at peak, 17 added, 4 deleted).
% 0.20/0.53  ; Trie-index has 36 nodes (38 at peak, 38 added, 2 deleted).
% 0.20/0.53  ; Retrieved 9 generalization terms in 26 calls.
% 0.20/0.53  ; Retrieved 8 instance terms in 6 calls.
% 0.20/0.53  ; Retrieved 50 unifiable terms in 69 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.20/0.53  ;     2 with value 0
% 0.20/0.53  ; The agenda of rows to process has 5 entries:
% 0.20/0.53  ;     3 with value 18              2 with value 20
% 0.20/0.53  ; The agenda of input rows to give has 1 entry:
% 0.20/0.53  ;     1 with value 6
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.032 seconds of real time
% 0.20/0.53    0.025278 seconds of user run time
% 0.20/0.53    0.006336 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    2,644,240 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T08:10:38
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------