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SNARK---20120808r022.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 0.40s 0.59s
% Output   : Refutation 0.40s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_single__stateE_0) ).

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

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( X = v_s_H
    | c_Natural_Oevalc(v_c,v_Z,v_Z_H(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( X != v_Z_H(X)
    | X = v_s_H ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(29,plain,
    v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X) != X,
    inference('REWRITE',[status(thm)],[cls_single__stateE_0,cls_conjecture_0]) ).

cnf(49,plain,
    c_Natural_Oevalc(v_c,v_Z,v_Z_H(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_s_H))),
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_3,29]) ).

cnf(99,plain,
    ( X = v_s_H
    | v_Z_H(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_s_H)) = v_Z_H(X) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_com__det_0,49,cls_conjecture_3]) ).

cnf(435,plain,
    v_Z_H(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_s_H)) = v_s_H,
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,99]) ).

cnf(436,plain,
    $false,
    inference('REWRITE',[status(thm)],[49,cls_conjecture_1,435,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n009.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 : Thu Jun 16 02:22:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T02:22:08
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-16T02:22:08
% 0.19/0.48  
% 0.19/0.48  ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 0.40/0.59  ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.40/0.59  
% 0.40/0.59  #||
% 0.40/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.59  % SZS output start Refutation
% See solution above
% 0.40/0.59  ||#
% 0.40/0.59  
% 0.40/0.59  ; Summary of computation:
% 0.40/0.59  ;      1216 formulas have been input or derived (from 138 formulas).
% 0.40/0.59  ;       436 (36%) were retained.  Of these,
% 0.40/0.59  ;           71 (16%) were simplified or subsumed later,
% 0.40/0.59  ;          365 (84%) are still being kept.
% 0.40/0.59  ; 
% 0.40/0.59  ; Run time in seconds:
% 0.40/0.59  ;     0.005   4%   Read assertion file          (1 call)
% 0.40/0.59  ;     0.001   1%   Assert                       (30 calls)
% 0.40/0.59  ;     0.036  29%   Process new row              (956 calls)
% 0.40/0.59  ;     0.026  21%   Resolution                   (274 calls)
% 0.40/0.59  ;     0.002   2%   Paramodulation               (137 calls)
% 0.40/0.59  ;     0.000   0%   Factoring                    (4 calls)
% 0.40/0.59  ;     0.000   0%   Condensing                   (67 calls)
% 0.40/0.59  ;     0.004   3%   Forward subsumption          (67 calls)
% 0.40/0.59  ;     0.001   1%   Backward subsumption         (62 calls)
% 0.40/0.59  ;     0.001   1%   Clause clause subsumption    (305 calls)
% 0.40/0.59  ;     0.014  11%   Forward simplification       (868 calls)
% 0.40/0.59  ;     0.006   5%   Backward simplification      (436 calls)
% 0.40/0.59  ;     0.000   0%   Ordering                     (199 calls)
% 0.40/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.40/0.59  ;     0.029  23%   Other
% 0.40/0.59  ;     0.125        Total
% 0.40/0.59  ;     0.125        Real time
% 0.40/0.59  ; 
% 0.40/0.59  ; Term-hash-array has 648 terms in all.
% 0.40/0.59  ; Feature-vector-row-index has 57 entries (58 at peak, 62 added, 5 deleted).
% 0.40/0.59  ; Feature-vector-row-index has 163 nodes (171 at peak, 185 added, 22 deleted).
% 0.40/0.59  ;  Retrieved 225 possibly forward subsuming rows in 67 calls.
% 0.40/0.59  ;  Retrieved 80 possibly backward subsumed rows in 62 calls.
% 0.40/0.59  ; Path-index has 580 entries (656 at peak, 669 added, 89 deleted).
% 0.40/0.59  ; Path-index has 843 nodes (868 at peak, 886 added, 43 deleted).
% 0.40/0.59  ; Trie-index has 580 entries (656 at peak, 669 added, 89 deleted).
% 0.40/0.59  ; Trie-index has 2,303 nodes (2,536 at peak, 2,574 added, 271 deleted).
% 0.40/0.59  ; Retrieved 627 generalization terms in 912 calls.
% 0.40/0.59  ; Retrieved 375 instance terms in 373 calls.
% 0.40/0.59  ; Retrieved 6,974 unifiable terms in 1,786 calls.
% 0.40/0.59  ; 
% 0.40/0.59  ; The agenda of backward simplifiable rows to process has 61 entries:
% 0.40/0.59  ;    61 with value 0
% 0.40/0.59  ; The agenda of rows to process has 23 entries:
% 0.40/0.59  ;     1 with value 13              6 with value 16               3 with value 20
% 0.40/0.59  ;     2 with value 14              3 with value 17               2 with value 22
% 0.40/0.59  ;     3 with value 15              3 with value 18
% 0.40/0.59  ; The agenda of rows to give has 241 entries:
% 0.40/0.59  ;     1 with value (4 11)         24 with value (4 19)          18 with value (4 23)
% 0.40/0.59  ;    13 with value (4 15)         28 with value (4 20)          10 with value (4 24)
% 0.40/0.59  ;    46 with value (4 16)         16 with value (4 21)           5 with value (4 25)
% 0.40/0.59  ;    16 with value (4 17)         14 with value (4 22)           8 with value (4 26)
% 0.40/0.59  ;    42 with value (4 18)
% 0.40/0.59  Evaluation took:
% 0.40/0.59    0.125 seconds of real time
% 0.40/0.59    0.116587 seconds of user run time
% 0.40/0.59    0.009005 seconds of system run time
% 0.40/0.59    0 calls to %EVAL
% 0.40/0.59    0 page faults and
% 0.40/0.59    6,808,952 bytes consed.
% 0.40/0.59  :PROOF-FOUND
% 0.40/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T02:22:08
% 0.40/0.59  :PROOF-FOUND
% 0.40/0.59  * 
%------------------------------------------------------------------------------