TSTP Solution File: SET850-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET850-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 : Tue Jul 19 05:12:46 EDT 2022

% Result   : Unsatisfiable 0.77s 0.95s
% Output   : Refutation 0.77s
% 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    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__trans_0,axiom,
    ( ~ c_lessequals(X,Y,tc_set(Z))
    | ~ c_lessequals(U,X,tc_set(Z))
    | c_lessequals(U,Y,tc_set(Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
    c_lessequals(X,c_Zorn_Osucc(Y,X,Z),tc_set(tc_set(Z))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(1857,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__trans_0,cls_Zorn_OAbrial__axiom1_0,cls_conjecture_0,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET850-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.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 : Sun Jul 10 15:48:52 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 2022-07-10T15:48:52
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T15:48:52
% 0.46/0.63  
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.95  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.77/0.95  
% 0.77/0.95  #||
% 0.77/0.95  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.95  % SZS output start Refutation
% See solution above
% 0.77/0.95  ||#
% 0.77/0.95  
% 0.77/0.95  ; Summary of computation:
% 0.77/0.95  ;      4556 formulas have been input or derived (from 492 formulas).
% 0.77/0.95  ;      1857 (41%) were retained.  Of these,
% 0.77/0.95  ;           13 ( 1%) were simplified or subsumed later,
% 0.77/0.95  ;         1844 (99%) are still being kept.
% 0.77/0.95  ; 
% 0.77/0.95  ; Run time in seconds:
% 0.77/0.95  ;     0.148  31%   Read assertion file          (1 call)
% 0.77/0.95  ;     0.018   4%   Assert                       (1,361 calls)
% 0.77/0.95  ;     0.111  23%   Process new row              (3,925 calls)
% 0.77/0.95  ;     0.058  12%   Resolution                   (982 calls)
% 0.77/0.95  ;     0.005   1%   Paramodulation               (491 calls)
% 0.77/0.95  ;     0.000   0%   Factoring                    (8 calls)
% 0.77/0.95  ;     0.010   2%   Condensing                   (693 calls)
% 0.77/0.95  ;     0.015   3%   Forward subsumption          (693 calls)
% 0.77/0.95  ;     0.013   3%   Backward subsumption         (662 calls)
% 0.77/0.95  ;     0.002   0%   Clause clause subsumption    (247 calls)
% 0.77/0.95  ;     0.041   9%   Forward simplification       (3,159 calls)
% 0.77/0.95  ;     0.019   4%   Backward simplification      (1,856 calls)
% 0.77/0.95  ;     0.002   0%   Ordering                     (695 calls)
% 0.77/0.95  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.77/0.95  ;     0.007   1%   Purity testing               (1 call)
% 0.77/0.95  ;     0.030   6%   Other
% 0.77/0.95  ;     0.480        Total
% 0.77/0.95  ;     0.481        Real time
% 0.77/0.95  ; 
% 0.77/0.95  ; Term-hash-array has 3,886 terms in all.
% 0.77/0.95  ; Feature-vector-row-index has 658 entries (658 at peak, 662 added, 4 deleted).
% 0.77/0.95  ; Feature-vector-row-index has 2,103 nodes (2,103 at peak, 2,118 added, 15 deleted).
% 0.77/0.95  ;  Retrieved 710 possibly forward subsuming rows in 693 calls.
% 0.77/0.95  ;  Retrieved 471 possibly backward subsumed rows in 662 calls.
% 0.77/0.95  ; Path-index has 3,894 entries (3,894 at peak, 3,912 added, 18 deleted).
% 0.77/0.95  ; Path-index has 14,805 nodes (14,805 at peak, 14,833 added, 28 deleted).
% 0.77/0.95  ; Trie-index has 3,894 entries (3,894 at peak, 3,912 added, 18 deleted).
% 0.77/0.95  ; Trie-index has 21,443 nodes (21,443 at peak, 21,517 added, 74 deleted).
% 0.77/0.95  ; Retrieved 1,445 generalization terms in 4,277 calls.
% 0.77/0.95  ; Retrieved 1,293 instance terms in 1,195 calls.
% 0.77/0.95  ; Retrieved 73,777 unifiable terms in 3,631 calls.
% 0.77/0.95  ; 
% 0.77/0.95  ; The agenda of rows to process has 37 entries:
% 0.77/0.95  ;     6 with value 8               3 with value 16               1 with value 25
% 0.77/0.95  ;     8 with value 10              4 with value 17               1 with value 26
% 0.77/0.95  ;    11 with value 13              2 with value 22               1 with value 28
% 0.77/0.95  ; The agenda of input rows to give has 68 entries:
% 0.77/0.95  ;     5 with value 22              2 with value 32               2 with value 46
% 0.77/0.95  ;     4 with value 23              2 with value 33               2 with value 56
% 0.77/0.95  ;     2 with value 24              1 with value 34               2 with value 62
% 0.77/0.95  ;     7 with value 26              3 with value 35               1 with value 65
% 0.77/0.95  ;     9 with value 27              4 with value 38               1 with value 82
% 0.77/0.95  ;     2 with value 28              3 with value 40               2 with value 85
% 0.77/0.95  ;     5 with value 29              5 with value 41               1 with value 88
% 0.77/0.95  ;     1 with value 30              1 with value 42               1 with value 90
% 0.77/0.95  ; The agenda of rows to give has 1284 entries:
% 0.77/0.95  ;     7 with value (4 6)          43 with value (4 21)           3 with value (4 36)
% 0.77/0.95  ;    12 with value (4 7)          61 with value (4 22)           4 with value (4 37)
% 0.77/0.95  ;    14 with value (4 8)          41 with value (4 23)           4 with value (4 38)
% 0.77/0.95  ;    30 with value (4 9)          28 with value (4 24)           2 with value (4 39)
% 0.77/0.95  ;    64 with value (4 10)         27 with value (4 25)           6 with value (4 40)
% 0.77/0.95  ;    24 with value (4 11)         19 with value (4 26)           4 with value (4 43)
% 0.77/0.95  ;    85 with value (4 12)         31 with value (4 27)           3 with value (4 44)
% 0.77/0.95  ;    67 with value (4 13)         23 with value (4 28)           3 with value (4 45)
% 0.77/0.95  ;    74 with value (4 14)         17 with value (4 29)           1 with value (4 47)
% 0.77/0.95  ;    99 with value (4 15)         19 with value (4 30)           2 with value (4 49)
% 0.77/0.95  ;    96 with value (4 16)         16 with value (4 31)           1 with value (4 51)
% 0.77/0.95  ;    79 with value (4 17)         32 with value (4 32)           1 with value (4 54)
% 0.77/0.95  ;    78 with value (4 18)          7 with value (4 33)           1 with value (4 57)
% 0.77/0.95  ;    67 with value (4 19)          4 with value (4 34)           1 with value (4 61)
% 0.77/0.95  ;    71 with value (4 20)         13 with value (4 35)
% 0.77/0.95  Evaluation took:
% 0.77/0.95    0.482 seconds of real time
% 0.77/0.95    0.45082 seconds of user run time
% 0.77/0.95    0.03067 seconds of system run time
% 0.77/0.95    [Run times include 0.02 seconds GC run time.]
% 0.77/0.95    0 calls to %EVAL
% 0.77/0.95    0 page faults and
% 0.77/0.95    33,994,728 bytes consed.
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:48:53
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  * 
%------------------------------------------------------------------------------