TSTP Solution File: LAT275-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT275-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 : Sun Jul 17 06:43:15 EDT 2022

% Result   : Unsatisfiable 1.37s 1.55s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    7 (   1 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

cnf(cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0,axiom,
    ( ~ c_lessequals(X,v_A,tc_set(t_a))
    | c_in(c_Tarski_Olub(X,v_cl,t_a),v_A,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0) ).

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

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(2229,plain,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),v_A,t_a),
    inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_Tarski_OA_A_61_61_Apset_Acl_0,theory(equality)]) ).

cnf(3978,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0,cls_conjecture_0,2229]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT275-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 18:44:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T18:44:33
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-29T18:44:33
% 0.60/0.81  
% 0.67/0.83  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.67/0.83  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.67/0.84  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |c_Relation_Oantisym| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |c_Relation_Orefl| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.87  WARNING:
% 0.70/0.87     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.37/1.55  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 1.37/1.55  
% 1.37/1.55  #||
% 1.37/1.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55  % SZS output start Refutation
% See solution above
% 1.37/1.55  ||#
% 1.37/1.55  
% 1.37/1.55  ; Summary of computation:
% 1.37/1.55  ;      8548 formulas have been input or derived (from 1316 formulas).
% 1.37/1.55  ;      3978 (47%) were retained.  Of these,
% 1.37/1.55  ;          456 (11%) were simplified or subsumed later,
% 1.37/1.55  ;         3522 (89%) are still being kept.
% 1.37/1.55  ; 
% 1.37/1.55  ; Run time in seconds:
% 1.37/1.55  ;     0.336  31%   Read assertion file          (1 call)
% 1.37/1.55  ;     0.041   4%   Assert                       (2,752 calls)
% 1.37/1.55  ;     0.267  25%   Process new row              (7,338 calls)
% 1.37/1.55  ;     0.113  10%   Resolution                   (2,630 calls)
% 1.37/1.55  ;     0.019   2%   Paramodulation               (1,315 calls)
% 1.37/1.55  ;     0.000   0%   Factoring                    (29 calls)
% 1.37/1.55  ;     0.019   2%   Condensing                   (2,227 calls)
% 1.37/1.55  ;     0.027   2%   Forward subsumption          (2,227 calls)
% 1.37/1.55  ;     0.044   4%   Backward subsumption         (2,037 calls)
% 1.37/1.55  ;     0.003   0%   Clause clause subsumption    (971 calls)
% 1.37/1.55  ;     0.107  10%   Forward simplification       (6,738 calls)
% 1.37/1.55  ;     0.030   3%   Backward simplification      (3,833 calls)
% 1.37/1.55  ;     0.016   1%   Ordering                     (5,008 calls)
% 1.37/1.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.37/1.55  ;     0.014   1%   Purity testing               (1 call)
% 1.37/1.55  ;     0.046   4%   Other
% 1.37/1.55  ;     1.082        Total
% 1.37/1.55  ;     1.083        Real time
% 1.37/1.55  ; 
% 1.37/1.55  ; Term-hash-array has 7,036 terms in all.
% 1.37/1.55  ; Feature-vector-row-index has 1,850 entries (1,850 at peak, 2,037 added, 187 deleted).
% 1.37/1.55  ; Feature-vector-row-index has 7,097 nodes (7,097 at peak, 9,019 added, 1,922 deleted).
% 1.37/1.55  ;  Retrieved 2,692 possibly forward subsuming rows in 2,227 calls.
% 1.37/1.55  ;  Retrieved 2,287 possibly backward subsumed rows in 2,037 calls.
% 1.37/1.55  ; Path-index has 6,517 entries (6,517 at peak, 7,213 added, 696 deleted).
% 1.37/1.55  ; Path-index has 26,665 nodes (26,665 at peak, 28,150 added, 1,485 deleted).
% 1.37/1.55  ; Trie-index has 6,517 entries (6,517 at peak, 7,213 added, 696 deleted).
% 1.37/1.55  ; Trie-index has 29,531 nodes (29,531 at peak, 33,796 added, 4,265 deleted).
% 1.37/1.55  ; Retrieved 5,347 generalization terms in 18,222 calls.
% 1.37/1.55  ; Retrieved 2,490 instance terms in 1,848 calls.
% 1.37/1.55  ; Retrieved 140,776 unifiable terms in 7,421 calls.
% 1.37/1.55  ; 
% 1.37/1.55  ; The agenda of rows to process has 8 entries:
% 1.37/1.55  ;     1 with value 8               6 with value 10               1 with value 19
% 1.37/1.55  ; The agenda of input rows to give has 757 entries:
% 1.37/1.55  ;     5 with value 16             16 with value 31               2 with value 46
% 1.37/1.55  ;   100 with value 17             16 with value 32               2 with value 48
% 1.37/1.55  ;    61 with value 18             14 with value 33               5 with value 49
% 1.37/1.55  ;    63 with value 19             17 with value 34               1 with value 51
% 1.37/1.55  ;    53 with value 20              8 with value 35               1 with value 52
% 1.37/1.55  ;    38 with value 21             17 with value 36               1 with value 53
% 1.37/1.55  ;    48 with value 22              5 with value 37               6 with value 56
% 1.37/1.55  ;    72 with value 23             14 with value 38               1 with value 58
% 1.37/1.55  ;    19 with value 24              5 with value 39               2 with value 61
% 1.37/1.55  ;    15 with value 25              9 with value 40               4 with value 62
% 1.37/1.55  ;    24 with value 26              6 with value 41               1 with value 65
% 1.37/1.55  ;    31 with value 27              1 with value 42               1 with value 82
% 1.37/1.55  ;    24 with value 28              8 with value 43               2 with value 85
% 1.37/1.55  ;    22 with value 29              4 with value 44               1 with value 88
% 1.37/1.55  ;     9 with value 30              2 with value 45               1 with value 90
% 1.37/1.55  ; The agenda of rows to give has 1471 entries:
% 1.37/1.55  ;     2 with value (4 4)          83 with value (4 15)           7 with value (4 25)
% 1.37/1.55  ;     8 with value (4 5)         137 with value (4 16)           5 with value (4 26)
% 1.37/1.55  ;    18 with value (4 6)         117 with value (4 17)          20 with value (4 27)
% 1.37/1.55  ;    13 with value (4 7)          83 with value (4 18)          13 with value (4 28)
% 1.37/1.55  ;    34 with value (4 8)         101 with value (4 19)          13 with value (4 29)
% 1.37/1.55  ;    62 with value (4 9)         105 with value (4 20)           4 with value (4 30)
% 1.37/1.55  ;    90 with value (4 10)         56 with value (4 21)           3 with value (4 31)
% 1.37/1.55  ;    59 with value (4 11)         26 with value (4 22)          14 with value (4 32)
% 1.37/1.55  ;   130 with value (4 12)         21 with value (4 23)           8 with value (4 33)
% 1.37/1.55  ;   116 with value (4 13)          9 with value (4 24)           4 with value (4 34)
% 1.37/1.55  ;   110 with value (4 14)
% 1.37/1.55  Evaluation took:
% 1.37/1.55    1.084 seconds of real time
% 1.37/1.55    1.026642 seconds of user run time
% 1.37/1.55    0.056696 seconds of system run time
% 1.37/1.55    [Run times include 0.08 seconds GC run time.]
% 1.37/1.55    0 calls to %EVAL
% 1.37/1.55    0 page faults and
% 1.37/1.55    80,759,728 bytes consed.
% 1.37/1.55  :PROOF-FOUND
% 1.37/1.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T18:44:34
% 1.37/1.55  :PROOF-FOUND
% 1.37/1.55  * 
%------------------------------------------------------------------------------