TSTP Solution File: SET855-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET855-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:12:52 EDT 2022

% Result   : Unsatisfiable 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   10 (   2 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OpsubsetE_0,axiom,
    ( ~ c_less(X,Y,tc_set(Z))
    | ~ c_lessequals(Y,X,tc_set(Z)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).

cnf(cls_Set_OpsubsetI_0,axiom,
    ( ~ c_lessequals(X,Y,tc_set(Z))
    | c_less(X,Y,tc_set(Z))
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    v_n != c_Union(v_Y,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(818,plain,
    ~ c_less(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OpsubsetE_0,cls_conjecture_3]) ).

cnf(1442,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_OpsubsetI_0,cls_conjecture_2,cls_conjecture_4]),818]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET855-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n009.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 : Sun Jul 10 14:07:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:07:07
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-10T14:07:07
% 0.47/0.65  
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.69/0.88  
% 0.69/0.88  #||
% 0.69/0.88  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88  % SZS output start Refutation
% See solution above
% 0.69/0.88  ||#
% 0.69/0.88  
% 0.69/0.88  ; Summary of computation:
% 0.69/0.88  ;      3780 formulas have been input or derived (from 453 formulas).
% 0.69/0.88  ;      1442 (38%) were retained.  Of these,
% 0.69/0.88  ;            9 ( 1%) were simplified or subsumed later,
% 0.69/0.88  ;         1433 (99%) are still being kept.
% 0.69/0.88  ; 
% 0.69/0.88  ; Run time in seconds excluding printing time:
% 0.69/0.88  ;     0.155  38%   Read assertion file          (1 call)
% 0.69/0.88  ;     0.015   4%   Assert                       (1,373 calls)
% 0.69/0.88  ;     0.084  21%   Process new row              (3,222 calls)
% 0.69/0.88  ;     0.037   9%   Resolution                   (904 calls)
% 0.69/0.88  ;     0.002   0%   Paramodulation               (452 calls)
% 0.69/0.88  ;     0.000   0%   Factoring                    (7 calls)
% 0.69/0.88  ;     0.001   0%   Condensing                   (541 calls)
% 0.69/0.88  ;     0.008   2%   Forward subsumption          (541 calls)
% 0.69/0.88  ;     0.014   3%   Backward subsumption         (517 calls)
% 0.69/0.88  ;     0.001   0%   Clause clause subsumption    (130 calls)
% 0.69/0.88  ;     0.024   6%   Forward simplification       (2,456 calls)
% 0.69/0.88  ;     0.022   5%   Backward simplification      (1,441 calls)
% 0.69/0.88  ;     0.000   0%   Ordering                     (286 calls)
% 0.69/0.88  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.69/0.88  ;     0.007   2%   Purity testing               (1 call)
% 0.69/0.88  ;     0.035   9%   Other
% 0.69/0.88  ;     0.405        Total
% 0.69/0.88  ;     0.406        Real time
% 0.69/0.88  ; 
% 0.69/0.88  ; Term-hash-array has 2,885 terms in all.
% 0.69/0.88  ; Feature-vector-row-index has 517 entries (517 at peak, 517 added, 0 deleted).
% 0.69/0.88  ; Feature-vector-row-index has 1,544 nodes (1,544 at peak, 1,544 added, 0 deleted).
% 0.69/0.88  ;  Retrieved 502 possibly forward subsuming rows in 541 calls.
% 0.69/0.88  ;  Retrieved 407 possibly backward subsumed rows in 517 calls.
% 0.69/0.88  ; Path-index has 2,897 entries (2,897 at peak, 2,906 added, 9 deleted).
% 0.69/0.88  ; Path-index has 10,914 nodes (10,914 at peak, 10,917 added, 3 deleted).
% 0.69/0.88  ; Trie-index has 2,897 entries (2,897 at peak, 2,906 added, 9 deleted).
% 0.69/0.88  ; Trie-index has 13,820 nodes (13,820 at peak, 13,837 added, 17 deleted).
% 0.69/0.88  ; Retrieved 1,151 generalization terms in 3,239 calls.
% 0.69/0.88  ; Retrieved 1,016 instance terms in 923 calls.
% 0.69/0.88  ; Retrieved 43,050 unifiable terms in 2,739 calls.
% 0.69/0.88  ; 
% 0.69/0.88  ; The agenda of rows to process has 6 entries:
% 0.69/0.88  ;     1 with value 13              3 with value 21               2 with value 22
% 0.69/0.88  ; The agenda of input rows to give has 119 entries:
% 0.69/0.88  ;     2 with value 18              1 with value 30               1 with value 51
% 0.69/0.88  ;    21 with value 19              2 with value 32               1 with value 55
% 0.69/0.88  ;     6 with value 20              2 with value 33               2 with value 56
% 0.69/0.88  ;    14 with value 21              1 with value 34               1 with value 57
% 0.69/0.88  ;     5 with value 22              3 with value 35               1 with value 58
% 0.69/0.88  ;     4 with value 23              4 with value 38               2 with value 62
% 0.69/0.88  ;     2 with value 24              3 with value 40               1 with value 65
% 0.69/0.88  ;     7 with value 26              5 with value 41               1 with value 82
% 0.69/0.88  ;     9 with value 27              1 with value 42               2 with value 85
% 0.69/0.88  ;     2 with value 28              1 with value 45               1 with value 88
% 0.69/0.88  ;     8 with value 29              2 with value 46               1 with value 90
% 0.69/0.88  ; The agenda of rows to give has 861 entries:
% 0.69/0.88  ;     7 with value (4 6)          64 with value (4 16)           1 with value (4 26)
% 0.69/0.88  ;    12 with value (4 7)          85 with value (4 17)           2 with value (4 27)
% 0.69/0.88  ;    14 with value (4 8)          68 with value (4 18)           1 with value (4 28)
% 0.69/0.88  ;    27 with value (4 9)          58 with value (4 19)           8 with value (4 29)
% 0.69/0.88  ;    58 with value (4 10)         62 with value (4 20)           5 with value (4 31)
% 0.69/0.88  ;    21 with value (4 11)         26 with value (4 21)           2 with value (4 35)
% 0.69/0.88  ;    75 with value (4 12)         19 with value (4 22)           1 with value (4 40)
% 0.69/0.88  ;    60 with value (4 13)         16 with value (4 23)           1 with value (4 43)
% 0.69/0.88  ;    72 with value (4 14)          4 with value (4 24)           2 with value (4 45)
% 0.69/0.88  ;    87 with value (4 15)          3 with value (4 25)
% 0.69/0.88  Evaluation took:
% 0.69/0.88    0.407 seconds of real time
% 0.69/0.88    0.382666 seconds of user run time
% 0.69/0.88    0.023928 seconds of system run time
% 0.69/0.88    [Run times include 0.021 seconds GC run time.]
% 0.69/0.88    0 calls to %EVAL
% 0.69/0.88    0 page faults and
% 0.69/0.88    27,111,832 bytes consed.
% 0.69/0.88  :PROOF-FOUND
% 0.69/0.88  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:07:07
% 0.69/0.89  :PROOF-FOUND
% 0.69/0.89  * 
%------------------------------------------------------------------------------