TSTP Solution File: COM009-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM009-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 : Fri Jul 15 01:42:39 EDT 2022

% Result   : Unsatisfiable 1.05s 1.24s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   1 nHn;   6 RR)
%            Number of literals    :   10 (   4 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_UNITY_Oall__total__imp__totalize_0,axiom,
    ( ~ c_UNITY_Oall__total(X,Y)
    | c_UNITY_Ototalize(X,Y) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).

cnf(cls_UNITY_Oall__total__totalize_0,axiom,
    c_UNITY_Oall__total(c_UNITY_Ototalize(X,Y),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( c_UNITY_Ototalize(v_F,t_a) != v_F
    | ~ c_UNITY_Oall__total(v_F,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) = v_F ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(614,plain,
    c_UNITY_Ototalize(v_F,t_a) = v_F,
    inference('HYPERRESOLVE',[status(thm)],[cls_UNITY_Oall__total__imp__totalize_0,cls_conjecture_1]) ).

cnf(615,plain,
    ~ c_UNITY_Oall__total(v_F,t_a),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,614,theory(equality)]) ).

cnf(3753,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_UNITY_Oall__total__totalize_0,614,theory(equality)]),615]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COM009-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Thu Jun 16 17:48:26 EDT 2022
% 0.15/0.35  % 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 2022-06-16T17:48:27
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-16T17:48:27
% 0.48/0.64  
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.67  WARNING:
% 0.48/0.67     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.05/1.24  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 1.05/1.24  
% 1.05/1.24  #||
% 1.05/1.24  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.24  % SZS output start Refutation
% See solution above
% 1.05/1.24  ||#
% 1.05/1.24  
% 1.05/1.24  ; Summary of computation:
% 1.05/1.24  ;      8250 formulas have been input or derived (from 600 formulas).
% 1.05/1.24  ;      3753 (45%) were retained.  Of these,
% 1.05/1.24  ;           27 ( 1%) were simplified or subsumed later,
% 1.05/1.24  ;         3726 (99%) are still being kept.
% 1.05/1.24  ; 
% 1.05/1.24  ; Run time in seconds:
% 1.05/1.24  ;     0.141  19%   Read assertion file          (1 call)
% 1.05/1.24  ;     0.017   2%   Assert                       (1,371 calls)
% 1.05/1.24  ;     0.233  31%   Process new row              (7,521 calls)
% 1.05/1.24  ;     0.135  18%   Resolution                   (1,198 calls)
% 1.05/1.24  ;     0.012   2%   Paramodulation               (599 calls)
% 1.05/1.24  ;     0.000   0%   Factoring                    (9 calls)
% 1.05/1.24  ;     0.006   1%   Condensing                   (849 calls)
% 1.05/1.24  ;     0.033   4%   Forward subsumption          (849 calls)
% 1.05/1.24  ;     0.015   2%   Backward subsumption         (817 calls)
% 1.05/1.24  ;     0.002   0%   Clause clause subsumption    (345 calls)
% 1.05/1.24  ;     0.076  10%   Forward simplification       (6,755 calls)
% 1.05/1.24  ;     0.028   4%   Backward simplification      (3,752 calls)
% 1.05/1.24  ;     0.002   0%   Ordering                     (1,014 calls)
% 1.05/1.24  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.05/1.24  ;     0.007   1%   Purity testing               (1 call)
% 1.05/1.24  ;     0.045   6%   Other
% 1.05/1.24  ;     0.753        Total
% 1.05/1.24  ;     0.754        Real time
% 1.05/1.24  ; 
% 1.05/1.24  ; Term-hash-array has 8,370 terms in all.
% 1.05/1.24  ; Feature-vector-row-index has 810 entries (810 at peak, 817 added, 7 deleted).
% 1.05/1.24  ; Feature-vector-row-index has 3,192 nodes (3,192 at peak, 3,238 added, 46 deleted).
% 1.05/1.24  ;  Retrieved 999 possibly forward subsuming rows in 849 calls.
% 1.05/1.24  ;  Retrieved 530 possibly backward subsumed rows in 817 calls.
% 1.05/1.24  ; Path-index has 8,351 entries (8,351 at peak, 8,396 added, 45 deleted).
% 1.05/1.24  ; Path-index has 22,345 nodes (22,345 at peak, 22,379 added, 34 deleted).
% 1.05/1.24  ; Trie-index has 8,351 entries (8,351 at peak, 8,396 added, 45 deleted).
% 1.05/1.24  ; Trie-index has 42,236 nodes (42,236 at peak, 42,426 added, 190 deleted).
% 1.05/1.24  ; Retrieved 3,403 generalization terms in 9,627 calls.
% 1.05/1.24  ; Retrieved 3,096 instance terms in 2,936 calls.
% 1.05/1.24  ; Retrieved 229,034 unifiable terms in 6,046 calls.
% 1.05/1.24  ; 
% 1.05/1.24  ; The agenda of rows to give has 3128 entries:
% 1.05/1.24  ;     3 with value (4 8)          25 with value (4 31)           2 with value (4 53)
% 1.05/1.24  ;    38 with value (4 9)          48 with value (4 32)           2 with value (4 54)
% 1.05/1.24  ;   144 with value (4 10)         17 with value (4 33)           3 with value (4 55)
% 1.05/1.24  ;   221 with value (4 11)         21 with value (4 34)           4 with value (4 56)
% 1.05/1.24  ;   391 with value (4 12)         21 with value (4 35)           1 with value (4 57)
% 1.05/1.24  ;   503 with value (4 13)         12 with value (4 36)           4 with value (4 60)
% 1.05/1.24  ;   160 with value (4 14)         15 with value (4 37)           1 with value (4 61)
% 1.05/1.24  ;   130 with value (4 15)         23 with value (4 38)           4 with value (4 62)
% 1.05/1.24  ;   212 with value (4 16)         12 with value (4 39)           3 with value (4 66)
% 1.05/1.24  ;   143 with value (4 17)         18 with value (4 40)           5 with value (4 67)
% 1.05/1.24  ;   185 with value (4 18)          4 with value (4 41)           2 with value (4 70)
% 1.05/1.24  ;    88 with value (4 19)         10 with value (4 42)           4 with value (4 72)
% 1.05/1.24  ;    98 with value (4 20)          8 with value (4 43)           2 with value (4 75)
% 1.05/1.24  ;    64 with value (4 21)          5 with value (4 44)           5 with value (4 77)
% 1.05/1.24  ;    88 with value (4 22)         11 with value (4 45)           4 with value (4 79)
% 1.05/1.24  ;    58 with value (4 23)          1 with value (4 46)           1 with value (4 83)
% 1.05/1.24  ;    42 with value (4 24)          5 with value (4 47)           3 with value (4 84)
% 1.05/1.24  ;    34 with value (4 25)          5 with value (4 48)           2 with value (4 93)
% 1.05/1.24  ;    38 with value (4 26)          8 with value (4 49)           2 with value (4 100)
% 1.05/1.24  ;    43 with value (4 27)          5 with value (4 50)           1 with value (4 102)
% 1.05/1.24  ;    34 with value (4 28)          1 with value (4 51)           2 with value (4 109)
% 1.05/1.24  ;    49 with value (4 29)          2 with value (4 52)           1 with value (4 116)
% 1.05/1.24  ;    27 with value (4 30)
% 1.05/1.24  Evaluation took:
% 1.05/1.24    0.755 seconds of real time
% 1.05/1.24    0.704516 seconds of user run time
% 1.05/1.24    0.05061 seconds of system run time
% 1.05/1.24    [Run times include 0.067 seconds GC run time.]
% 1.05/1.24    0 calls to %EVAL
% 1.05/1.24    0 page faults and
% 1.05/1.24    58,072,688 bytes consed.
% 1.05/1.24  :PROOF-FOUND
% 1.05/1.24  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T17:48:27
% 1.05/1.24  :PROOF-FOUND
% 1.05/1.24  * 
%------------------------------------------------------------------------------