TSTP Solution File: SWV268-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV268-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 21:32:26 EDT 2022

% Result   : Unsatisfiable 1.47s 1.64s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :    6 (   1 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Oparts__idem_0,axiom,
    c_Message_Oparts(c_Message_Oparts(X)) = c_Message_Oparts(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__idem_0) ).

cnf(cls_Message_Oparts__mono_0,axiom,
    ( ~ c_lessequals(X,Y,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(4328,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__mono_0,cls_conjecture_0]),cls_conjecture_1,cls_Message_Oparts__idem_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV268-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n006.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 : Tue Jun 14 18:53:11 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:53:11
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-14T18:53:11
% 0.62/0.84  
% 0.62/0.86  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.71/0.87  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.71/0.87  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90  WARNING:
% 0.74/0.90     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.91  WARNING:
% 0.74/0.91     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.91  WARNING:
% 0.74/0.91     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.91  WARNING:
% 0.74/0.91     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.91  WARNING:
% 0.74/0.91     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.91  WARNING:
% 0.74/0.91     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.91  WARNING:
% 0.74/0.91     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.47/1.64  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 1.47/1.64  
% 1.47/1.64  #||
% 1.47/1.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.47/1.64  % SZS output start Refutation
% See solution above
% 1.47/1.64  ||#
% 1.47/1.64  
% 1.47/1.64  ; Summary of computation:
% 1.47/1.64  ;      9294 formulas have been input or derived (from 1350 formulas).
% 1.47/1.64  ;      4328 (47%) were retained.  Of these,
% 1.47/1.64  ;          452 (10%) were simplified or subsumed later,
% 1.47/1.64  ;         3876 (90%) are still being kept.
% 1.47/1.64  ; 
% 1.47/1.64  ; Run time in seconds:
% 1.47/1.64  ;     0.340  30%   Read assertion file          (1 call)
% 1.47/1.64  ;     0.045   4%   Assert                       (2,780 calls)
% 1.47/1.64  ;     0.243  21%   Process new row              (7,869 calls)
% 1.47/1.64  ;     0.137  12%   Resolution                   (2,698 calls)
% 1.47/1.64  ;     0.020   2%   Paramodulation               (1,349 calls)
% 1.47/1.64  ;     0.000   0%   Factoring                    (29 calls)
% 1.47/1.64  ;     0.018   2%   Condensing                   (2,251 calls)
% 1.47/1.64  ;     0.054   5%   Forward subsumption          (2,251 calls)
% 1.47/1.64  ;     0.074   6%   Backward subsumption         (2,056 calls)
% 1.47/1.64  ;     0.008   1%   Clause clause subsumption    (991 calls)
% 1.47/1.64  ;     0.075   7%   Forward simplification       (7,270 calls)
% 1.47/1.64  ;     0.042   4%   Backward simplification      (4,185 calls)
% 1.47/1.64  ;     0.017   1%   Ordering                     (5,324 calls)
% 1.47/1.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.47/1.64  ;     0.020   2%   Purity testing               (1 call)
% 1.47/1.64  ;     0.057   5%   Other
% 1.47/1.64  ;     1.150        Total
% 1.47/1.64  ;     1.151        Real time
% 1.47/1.64  ; 
% 1.47/1.64  ; Term-hash-array has 7,922 terms in all.
% 1.47/1.64  ; Feature-vector-row-index has 1,866 entries (1,866 at peak, 2,056 added, 190 deleted).
% 1.47/1.64  ; Feature-vector-row-index has 6,943 nodes (6,943 at peak, 8,823 added, 1,880 deleted).
% 1.47/1.64  ;  Retrieved 2,462 possibly forward subsuming rows in 2,251 calls.
% 1.47/1.64  ;  Retrieved 2,048 possibly backward subsumed rows in 2,056 calls.
% 1.47/1.64  ; Path-index has 7,401 entries (7,401 at peak, 8,100 added, 699 deleted).
% 1.47/1.64  ; Path-index has 29,120 nodes (29,120 at peak, 30,643 added, 1,523 deleted).
% 1.47/1.64  ; Trie-index has 7,401 entries (7,401 at peak, 8,100 added, 699 deleted).
% 1.47/1.64  ; Trie-index has 32,682 nodes (32,682 at peak, 36,991 added, 4,309 deleted).
% 1.47/1.64  ; Retrieved 5,915 generalization terms in 19,792 calls.
% 1.47/1.64  ; Retrieved 2,793 instance terms in 2,179 calls.
% 1.47/1.64  ; Retrieved 181,514 unifiable terms in 7,661 calls.
% 1.47/1.64  ; 
% 1.47/1.64  ; The agenda of rows to process has 3 entries:
% 1.47/1.64  ;     2 with value 12              1 with value 19
% 1.47/1.64  ; The agenda of input rows to give has 748 entries:
% 1.47/1.64  ;     4 with value 16             15 with value 31               2 with value 46
% 1.47/1.64  ;    99 with value 17             16 with value 32               2 with value 48
% 1.47/1.64  ;    62 with value 18             14 with value 33               5 with value 49
% 1.47/1.64  ;    61 with value 19             17 with value 34               1 with value 51
% 1.47/1.64  ;    50 with value 20              8 with value 35               1 with value 52
% 1.47/1.64  ;    39 with value 21             17 with value 36               1 with value 53
% 1.47/1.64  ;    48 with value 22              4 with value 37               6 with value 56
% 1.47/1.64  ;    72 with value 23             14 with value 38               1 with value 58
% 1.47/1.64  ;    18 with value 24              5 with value 39               2 with value 61
% 1.47/1.64  ;    16 with value 25              9 with value 40               4 with value 62
% 1.47/1.64  ;    24 with value 26              6 with value 41               1 with value 65
% 1.47/1.64  ;    31 with value 27              1 with value 42               1 with value 82
% 1.47/1.64  ;    23 with value 28              8 with value 43               2 with value 85
% 1.47/1.64  ;    22 with value 29              3 with value 44               1 with value 88
% 1.47/1.64  ;     9 with value 30              2 with value 45               1 with value 90
% 1.47/1.64  ; The agenda of rows to give has 1800 entries:
% 1.47/1.64  ;     2 with value (4 4)         110 with value (4 15)           9 with value (4 25)
% 1.47/1.64  ;     8 with value (4 5)         159 with value (4 16)           5 with value (4 26)
% 1.47/1.64  ;    18 with value (4 6)         136 with value (4 17)          20 with value (4 27)
% 1.47/1.64  ;    13 with value (4 7)          96 with value (4 18)          13 with value (4 28)
% 1.47/1.64  ;    72 with value (4 8)         106 with value (4 19)          13 with value (4 29)
% 1.47/1.64  ;    66 with value (4 9)         106 with value (4 20)           4 with value (4 30)
% 1.47/1.64  ;   147 with value (4 10)         56 with value (4 21)           3 with value (4 31)
% 1.47/1.64  ;    67 with value (4 11)         26 with value (4 22)          14 with value (4 32)
% 1.47/1.64  ;   207 with value (4 12)         21 with value (4 23)           8 with value (4 33)
% 1.47/1.64  ;   130 with value (4 13)         10 with value (4 24)           4 with value (4 34)
% 1.47/1.64  ;   151 with value (4 14)
% 1.47/1.64  Evaluation took:
% 1.47/1.64    1.153 seconds of real time
% 1.47/1.64    1.076036 seconds of user run time
% 1.47/1.64    0.076707 seconds of system run time
% 1.47/1.64    [Run times include 0.093 seconds GC run time.]
% 1.47/1.64    0 calls to %EVAL
% 1.47/1.64    0 page faults and
% 1.47/1.64    87,088,688 bytes consed.
% 1.47/1.64  :PROOF-FOUND
% 1.47/1.64  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:53:13
% 1.47/1.64  :PROOF-FOUND
% 1.47/1.64  * 
%------------------------------------------------------------------------------