TSTP Solution File: SWV854-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 21:36:15 EDT 2022

% Result   : Unsatisfiable 1.99s 2.22s
% Output   : Refutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-4 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Body__triple__valid__Suc_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X),c_Hoare__Mirabelle_Otriple_Otriple(Y,c_Com_Ocom_OBODY(Z),U,V),V)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X,c_Hoare__Mirabelle_Otriple_Otriple(Y,c_Option_Othe(c_Com_Obody(Z),tc_Com_Ocom),U,V),V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X),c_Option_Othe(c_Com_Obody(X),tc_Com_Ocom),hAPP(v_Q,X),t_a),t_a)
    | ~ hBOOL(c_in(X,v_Procs,tc_Com_Opname)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(3389,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,cls_conjecture_0]) ).

cnf(3918,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Body__triple__valid__Suc_0,cls_conjecture_1]),3389]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n025.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 : Thu Jun 16 05:26:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T05:26:11
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-16T05:26:11
% 0.38/0.63  
% 0.38/0.63  ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64  WARNING:
% 0.47/0.64     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.99/2.22  ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 1.99/2.22  
% 1.99/2.22  #||
% 1.99/2.22  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.22  % SZS output start Refutation
% See solution above
% 1.99/2.22  ||#
% 1.99/2.22  
% 1.99/2.22  ; Summary of computation:
% 1.99/2.22  ;     11814 formulas have been input or derived (from 457 formulas).
% 1.99/2.22  ;      3918 (33%) were retained.  Of these,
% 1.99/2.22  ;          146 ( 4%) were simplified or subsumed later,
% 1.99/2.22  ;         3772 (96%) are still being kept.
% 1.99/2.22  ; 
% 1.99/2.22  ; Run time in seconds excluding printing time:
% 1.99/2.22  ;     0.136   8%   Read assertion file          (1 call)
% 1.99/2.22  ;     0.014   1%   Assert                       (763 calls)
% 1.99/2.22  ;     0.339  19%   Process new row              (10,403 calls)
% 1.99/2.22  ;     0.253  15%   Resolution                   (912 calls)
% 1.99/2.22  ;     0.029   2%   Paramodulation               (456 calls)
% 1.99/2.22  ;     0.000   0%   Factoring                    (13 calls)
% 1.99/2.22  ;     0.037   2%   Condensing                   (3,656 calls)
% 1.99/2.22  ;     0.276  16%   Forward subsumption          (3,656 calls)
% 1.99/2.22  ;     0.067   4%   Backward subsumption         (1,745 calls)
% 1.99/2.22  ;     0.068   4%   Clause clause subsumption    (13,729 calls)
% 1.99/2.22  ;     0.282  16%   Forward simplification       (10,318 calls)
% 1.99/2.22  ;     0.067   4%   Backward simplification      (3,911 calls)
% 1.99/2.22  ;     0.105   6%   Ordering                     (23,796 calls)
% 1.99/2.22  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.99/2.22  ;     0.002   0%   Purity testing               (1 call)
% 1.99/2.22  ;     0.065   4%   Other
% 1.99/2.22  ;     1.740        Total
% 1.99/2.22  ;     1.742        Real time
% 1.99/2.22  ; 
% 1.99/2.22  ; Term-hash-array has 7,421 terms in all.
% 1.99/2.22  ; Feature-vector-row-index has 1,700 entries (1,700 at peak, 1,745 added, 45 deleted).
% 1.99/2.22  ; Feature-vector-row-index has 10,775 nodes (10,782 at peak, 11,025 added, 250 deleted).
% 1.99/2.22  ;  Retrieved 20,163 possibly forward subsuming rows in 3,656 calls.
% 1.99/2.22  ;  Retrieved 1,763 possibly backward subsumed rows in 1,745 calls.
% 1.99/2.22  ; Path-index has 7,205 entries (7,205 at peak, 7,466 added, 261 deleted).
% 1.99/2.22  ; Path-index has 14,190 nodes (14,199 at peak, 14,386 added, 196 deleted).
% 1.99/2.22  ; Trie-index has 7,205 entries (7,205 at peak, 7,466 added, 261 deleted).
% 1.99/2.22  ; Trie-index has 28,596 nodes (28,613 at peak, 29,688 added, 1,092 deleted).
% 1.99/2.22  ; Retrieved 46,121 generalization terms in 49,448 calls.
% 1.99/2.22  ; Retrieved 4,007 instance terms in 2,399 calls.
% 1.99/2.22  ; Retrieved 398,447 unifiable terms in 7,262 calls.
% 1.99/2.22  ; 
% 1.99/2.22  ; The agenda of rows to process has 1 entry:
% 1.99/2.22  ;     1 with value 41
% 1.99/2.22  ; The agenda of input rows to give has 54 entries:
% 1.99/2.22  ;     1 with value 29              1 with value 35               1 with value 48
% 1.99/2.22  ;     6 with value 30              2 with value 36               1 with value 49
% 1.99/2.22  ;    20 with value 31              1 with value 39               1 with value 52
% 1.99/2.22  ;     6 with value 32              3 with value 42               1 with value 55
% 1.99/2.22  ;     4 with value 33              1 with value 46               1 with value 65
% 1.99/2.22  ;     4 with value 34
% 1.99/2.22  ; The agenda of rows to give has 3263 entries:
% 1.99/2.22  ;     3 with value (4 6)          95 with value (4 25)          16 with value (4 44)
% 1.99/2.22  ;     9 with value (4 7)         116 with value (4 26)           9 with value (4 45)
% 1.99/2.22  ;     8 with value (4 8)          73 with value (4 27)          12 with value (4 46)
% 1.99/2.22  ;    23 with value (4 9)          89 with value (4 28)          11 with value (4 47)
% 1.99/2.22  ;    54 with value (4 10)         97 with value (4 29)           4 with value (4 48)
% 1.99/2.22  ;    50 with value (4 11)         67 with value (4 30)          10 with value (4 49)
% 1.99/2.22  ;    83 with value (4 12)         81 with value (4 31)           8 with value (4 50)
% 1.99/2.22  ;    76 with value (4 13)         54 with value (4 32)           4 with value (4 51)
% 1.99/2.22  ;   119 with value (4 14)         97 with value (4 33)          14 with value (4 52)
% 1.99/2.22  ;   120 with value (4 15)         60 with value (4 34)          13 with value (4 53)
% 1.99/2.22  ;   197 with value (4 16)         62 with value (4 35)          14 with value (4 55)
% 1.99/2.22  ;   172 with value (4 17)         77 with value (4 36)           2 with value (4 58)
% 1.99/2.22  ;   199 with value (4 18)         62 with value (4 37)           1 with value (4 59)
% 1.99/2.22  ;   158 with value (4 19)         60 with value (4 38)           2 with value (4 61)
% 1.99/2.22  ;   148 with value (4 20)         29 with value (4 39)           5 with value (4 62)
% 1.99/2.22  ;   129 with value (4 21)         30 with value (4 40)           8 with value (4 63)
% 1.99/2.22  ;   116 with value (4 22)         37 with value (4 41)           1 with value (4 64)
% 1.99/2.22  ;   122 with value (4 23)         34 with value (4 42)           8 with value (4 65)
% 1.99/2.22  ;    87 with value (4 24)         27 with value (4 43)           1 with value (4 69)
% 1.99/2.22  Evaluation took:
% 1.99/2.22    1.744 seconds of real time
% 1.99/2.22    1.616048 seconds of user run time
% 1.99/2.22    0.127172 seconds of system run time
% 1.99/2.22    [Run times include 0.18 seconds GC run time.]
% 1.99/2.22    0 calls to %EVAL
% 1.99/2.22    0 page faults and
% 1.99/2.22    132,553,304 bytes consed.
% 1.99/2.22  :PROOF-FOUND
% 1.99/2.22  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T05:26:13
% 1.99/2.22  :PROOF-FOUND
% 1.99/2.22  * 
%------------------------------------------------------------------------------