TSTP Solution File: LAT279-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT279-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 06:43:17 EDT 2022

% Result   : Unsatisfiable 1.31s 1.50s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   1 equ;   2 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    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_OPartialOrder__iff_1,axiom,
    ( ~ c_in(X,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Y,tc_Product__Type_Ounit))
    | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X,Y,tc_Product__Type_Ounit),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).

cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Relation_Oantisym(v_r,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(3955,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_OPartialOrder__iff_1,cls_Tarski_Ocl_A_58_APartialOrder_0]),cls_conjecture_0,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT279-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Thu Jun 30 11:57:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T11:57:13
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-30T11:57:13
% 0.61/0.82  
% 0.61/0.83  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.61/0.83  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.61/0.85  ; 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     |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.
% 0.70/0.88  WARNING:
% 0.70/0.88     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88  WARNING:
% 0.70/0.88     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88  WARNING:
% 0.70/0.88     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.31/1.50  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 1.31/1.50  
% 1.31/1.50  #||
% 1.31/1.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.50  % SZS output start Refutation
% See solution above
% 1.31/1.50  ||#
% 1.31/1.50  
% 1.31/1.50  ; Summary of computation:
% 1.31/1.50  ;      8508 formulas have been input or derived (from 1314 formulas).
% 1.31/1.50  ;      3955 (46%) were retained.  Of these,
% 1.31/1.50  ;          455 (12%) were simplified or subsumed later,
% 1.31/1.50  ;         3500 (88%) are still being kept.
% 1.31/1.50  ; 
% 1.31/1.50  ; Run time in seconds excluding printing time:
% 1.31/1.50  ;     0.338  33%   Read assertion file          (1 call)
% 1.31/1.50  ;     0.035   3%   Assert                       (2,744 calls)
% 1.31/1.50  ;     0.194  19%   Process new row              (7,302 calls)
% 1.31/1.50  ;     0.111  11%   Resolution                   (2,626 calls)
% 1.31/1.50  ;     0.041   4%   Paramodulation               (1,313 calls)
% 1.31/1.50  ;     0.000   0%   Factoring                    (29 calls)
% 1.31/1.50  ;     0.018   2%   Condensing                   (2,223 calls)
% 1.31/1.50  ;     0.027   3%   Forward subsumption          (2,223 calls)
% 1.31/1.50  ;     0.040   4%   Backward subsumption         (2,033 calls)
% 1.31/1.50  ;     0.002   0%   Clause clause subsumption    (966 calls)
% 1.31/1.50  ;     0.080   8%   Forward simplification       (6,704 calls)
% 1.31/1.50  ;     0.040   4%   Backward simplification      (3,811 calls)
% 1.31/1.50  ;     0.010   1%   Ordering                     (4,999 calls)
% 1.31/1.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.31/1.50  ;     0.014   1%   Purity testing               (1 call)
% 1.31/1.50  ;     0.079   8%   Other
% 1.31/1.50  ;     1.029        Total
% 1.31/1.50  ;     1.031        Real time
% 1.31/1.50  ; 
% 1.31/1.50  ; Term-hash-array has 6,980 terms in all.
% 1.31/1.50  ; Feature-vector-row-index has 1,846 entries (1,846 at peak, 2,033 added, 187 deleted).
% 1.31/1.50  ; Feature-vector-row-index has 7,017 nodes (7,017 at peak, 8,939 added, 1,922 deleted).
% 1.31/1.50  ;  Retrieved 2,675 possibly forward subsuming rows in 2,223 calls.
% 1.31/1.50  ;  Retrieved 2,285 possibly backward subsumed rows in 2,033 calls.
% 1.31/1.50  ; Path-index has 6,459 entries (6,459 at peak, 7,155 added, 696 deleted).
% 1.31/1.50  ; Path-index has 26,524 nodes (26,524 at peak, 28,009 added, 1,485 deleted).
% 1.31/1.50  ; Trie-index has 6,459 entries (6,459 at peak, 7,155 added, 696 deleted).
% 1.31/1.50  ; Trie-index has 29,279 nodes (29,279 at peak, 33,544 added, 4,265 deleted).
% 1.31/1.50  ; Retrieved 5,320 generalization terms in 18,154 calls.
% 1.31/1.50  ; Retrieved 2,467 instance terms in 1,830 calls.
% 1.31/1.50  ; Retrieved 140,206 unifiable terms in 7,386 calls.
% 1.31/1.50  ; 
% 1.31/1.50  ; The agenda of rows to process has 1 entry:
% 1.31/1.50  ;     1 with value 19
% 1.31/1.50  ; The agenda of input rows to give has 753 entries:
% 1.31/1.50  ;     5 with value 16             15 with value 31               2 with value 46
% 1.31/1.50  ;    99 with value 17             16 with value 32               2 with value 48
% 1.31/1.50  ;    61 with value 18             14 with value 33               5 with value 49
% 1.31/1.50  ;    63 with value 19             17 with value 34               1 with value 51
% 1.31/1.50  ;    54 with value 20              8 with value 35               1 with value 52
% 1.31/1.50  ;    38 with value 21             18 with value 36               1 with value 53
% 1.31/1.50  ;    48 with value 22              4 with value 37               6 with value 56
% 1.31/1.50  ;    72 with value 23             14 with value 38               1 with value 58
% 1.31/1.50  ;    18 with value 24              5 with value 39               2 with value 61
% 1.31/1.50  ;    15 with value 25              9 with value 40               4 with value 62
% 1.31/1.50  ;    24 with value 26              6 with value 41               1 with value 65
% 1.31/1.50  ;    31 with value 27              1 with value 42               1 with value 82
% 1.31/1.50  ;    23 with value 28              8 with value 43               2 with value 85
% 1.31/1.50  ;    22 with value 29              3 with value 44               1 with value 88
% 1.31/1.50  ;     9 with value 30              2 with value 45               1 with value 90
% 1.31/1.50  ; The agenda of rows to give has 1455 entries:
% 1.31/1.50  ;     2 with value (4 4)          81 with value (4 15)           7 with value (4 25)
% 1.31/1.50  ;     8 with value (4 5)         137 with value (4 16)           5 with value (4 26)
% 1.31/1.50  ;    18 with value (4 6)         117 with value (4 17)          20 with value (4 27)
% 1.31/1.50  ;    13 with value (4 7)          83 with value (4 18)          13 with value (4 28)
% 1.31/1.50  ;    33 with value (4 8)         101 with value (4 19)          13 with value (4 29)
% 1.31/1.50  ;    62 with value (4 9)         105 with value (4 20)           4 with value (4 30)
% 1.31/1.50  ;    86 with value (4 10)         56 with value (4 21)           3 with value (4 31)
% 1.31/1.50  ;    56 with value (4 11)         26 with value (4 22)          14 with value (4 32)
% 1.31/1.50  ;   127 with value (4 12)         21 with value (4 23)           8 with value (4 33)
% 1.31/1.50  ;   114 with value (4 13)          9 with value (4 24)           4 with value (4 34)
% 1.31/1.50  ;   109 with value (4 14)
% 1.31/1.50  Evaluation took:
% 1.31/1.50    1.032 seconds of real time
% 1.31/1.50    0.966937 seconds of user run time
% 1.31/1.50    0.064602 seconds of system run time
% 1.31/1.50    [Run times include 0.071 seconds GC run time.]
% 1.31/1.50    0 calls to %EVAL
% 1.31/1.50    0 page faults and
% 1.31/1.50    80,286,264 bytes consed.
% 1.31/1.50  :PROOF-FOUND
% 1.31/1.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T11:57:14
% 1.31/1.50  :PROOF-FOUND
% 1.31/1.50  * 
%------------------------------------------------------------------------------