TSTP Solution File: SWV864-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 : Wed Jul 20 21:36:17 EDT 2022

% Result   : Unsatisfiable 0.36s 0.58s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   6 unt;   2 nHn;   9 RR)
%            Number of literals    :   17 (   9 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_com__det_0,axiom,
    ( X = Y
    | ~ c_Natural_Oevalc(Z,U,X)
    | ~ c_Natural_Oevalc(Z,U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).

cnf(cls_single__stateE_0,axiom,
    ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X) != X
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__stateE_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Natural_Oevalc(v_c,v_x,v_xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( X = v_xa
    | c_Natural_Oevalc(v_c,v_x,v_xb(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( X != v_xb(X)
    | X = v_xa ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(28,plain,
    v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X) != X,
    inference('REWRITE',[status(thm)],[cls_single__stateE_0,cls_conjecture_0]) ).

cnf(48,plain,
    c_Natural_Oevalc(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))),
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_2,28]) ).

cnf(91,plain,
    ( X = v_xa
    | v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)) = v_xb(X) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_com__det_0,48,cls_conjecture_2]) ).

cnf(390,plain,
    v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)) = v_xa,
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_3,91]) ).

cnf(391,plain,
    $false,
    inference('REWRITE',[status(thm)],[48,cls_conjecture_1,390,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n003.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 : Wed Jun 15 10:21:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-15T10:21:11
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-15T10:21:11
% 0.19/0.49  
% 0.19/0.49  ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 0.36/0.58  ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.36/0.58  
% 0.36/0.58  #||
% 0.36/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.58  % SZS output start Refutation
% See solution above
% 0.36/0.58  ||#
% 0.36/0.58  
% 0.36/0.58  ; Summary of computation:
% 0.36/0.58  ;      1116 formulas have been input or derived (from 134 formulas).
% 0.36/0.58  ;       391 (35%) were retained.  Of these,
% 0.36/0.58  ;           71 (18%) were simplified or subsumed later,
% 0.36/0.58  ;          320 (82%) are still being kept.
% 0.36/0.58  ; 
% 0.36/0.58  ; Run time in seconds excluding printing time:
% 0.36/0.58  ;     0.005   5%   Read assertion file          (1 call)
% 0.36/0.58  ;     0.002   2%   Assert                       (29 calls)
% 0.36/0.58  ;     0.028  27%   Process new row              (865 calls)
% 0.36/0.58  ;     0.021  20%   Resolution                   (266 calls)
% 0.36/0.58  ;     0.003   3%   Paramodulation               (133 calls)
% 0.36/0.58  ;     0.000   0%   Factoring                    (4 calls)
% 0.36/0.58  ;     0.002   2%   Condensing                   (67 calls)
% 0.36/0.58  ;     0.002   2%   Forward subsumption          (67 calls)
% 0.36/0.58  ;     0.000   0%   Backward subsumption         (62 calls)
% 0.36/0.58  ;     0.002   2%   Clause clause subsumption    (214 calls)
% 0.36/0.58  ;     0.011  11%   Forward simplification       (778 calls)
% 0.36/0.58  ;     0.003   3%   Backward simplification      (391 calls)
% 0.36/0.58  ;     0.000   0%   Ordering                     (193 calls)
% 0.36/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.36/0.58  ;     0.025  24%   Other
% 0.36/0.58  ;     0.104        Total
% 0.36/0.58  ;     0.106        Real time
% 0.36/0.58  ; 
% 0.36/0.58  ; Term-hash-array has 592 terms in all.
% 0.36/0.58  ; Feature-vector-row-index has 57 entries (58 at peak, 62 added, 5 deleted).
% 0.36/0.58  ; Feature-vector-row-index has 166 nodes (174 at peak, 188 added, 22 deleted).
% 0.36/0.58  ;  Retrieved 146 possibly forward subsuming rows in 67 calls.
% 0.36/0.58  ;  Retrieved 68 possibly backward subsumed rows in 62 calls.
% 0.36/0.58  ; Path-index has 521 entries (597 at peak, 610 added, 89 deleted).
% 0.36/0.58  ; Path-index has 732 nodes (757 at peak, 775 added, 43 deleted).
% 0.36/0.58  ; Trie-index has 521 entries (597 at peak, 610 added, 89 deleted).
% 0.36/0.58  ; Trie-index has 1,933 nodes (2,166 at peak, 2,204 added, 271 deleted).
% 0.36/0.58  ; Retrieved 585 generalization terms in 823 calls.
% 0.36/0.58  ; Retrieved 330 instance terms in 328 calls.
% 0.36/0.58  ; Retrieved 6,325 unifiable terms in 1,699 calls.
% 0.36/0.58  ; 
% 0.36/0.58  ; The agenda of backward simplifiable rows to process has 61 entries:
% 0.36/0.58  ;    61 with value 0
% 0.36/0.58  ; The agenda of rows to process has 23 entries:
% 0.36/0.58  ;     1 with value 13              6 with value 16               3 with value 20
% 0.36/0.58  ;     2 with value 14              3 with value 17               2 with value 22
% 0.36/0.58  ;     3 with value 15              3 with value 18
% 0.36/0.58  ; The agenda of rows to give has 200 entries:
% 0.36/0.58  ;     1 with value (4 11)         20 with value (4 19)           8 with value (4 23)
% 0.36/0.58  ;    12 with value (4 15)         28 with value (4 20)          10 with value (4 24)
% 0.36/0.58  ;    44 with value (4 16)         10 with value (4 21)           1 with value (4 25)
% 0.36/0.58  ;    10 with value (4 17)         12 with value (4 22)           4 with value (4 26)
% 0.36/0.58  ;    40 with value (4 18)
% 0.36/0.58  Evaluation took:
% 0.36/0.58    0.106 seconds of real time
% 0.36/0.58    0.093007 seconds of user run time
% 0.36/0.58    0.01279 seconds of system run time
% 0.36/0.58    0 calls to %EVAL
% 0.36/0.58    0 page faults and
% 0.36/0.58    6,354,656 bytes consed.
% 0.36/0.58  :PROOF-FOUND
% 0.36/0.58  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T10:21:11
% 0.36/0.58  :PROOF-FOUND
% 0.36/0.58  * 
%------------------------------------------------------------------------------