TSTP Solution File: LAT278-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT278-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 2.33s 2.50s
% Output   : Refutation 2.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    7 (   2 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    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :    2 (   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/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

cnf(cls_Tarski_OPartialOrder__iff_0,axiom,
    ( ~ c_in(X,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Y,tc_Product__Type_Ounit))
    | c_Relation_Orefl(c_Tarski_Opotype_Opset(X,Y,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X,Y,tc_Product__Type_Ounit),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).

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_Orefl(v_A,v_r,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(6688,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_OPartialOrder__iff_0,cls_Tarski_Ocl_A_58_APartialOrder_0]),cls_conjecture_0,cls_Tarski_Or_A_61_61_Aorder_Acl_0,cls_Tarski_OA_A_61_61_Apset_Acl_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT278-1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.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 : Wed Jun 29 07:50:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-29T07:50:57
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-29T07:50:57
% 0.68/0.86  
% 0.68/0.87  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.68/0.87  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.72/0.89  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.91  WARNING:
% 0.72/0.91     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92  WARNING:
% 0.72/0.92     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.92  WARNING:
% 0.72/0.92     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92  WARNING:
% 0.72/0.92     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92  WARNING:
% 0.72/0.92     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92  WARNING:
% 0.72/0.92     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92  WARNING:
% 0.72/0.92     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.33/2.50  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 2.33/2.50  
% 2.33/2.50  #||
% 2.33/2.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.33/2.50  % SZS output start Refutation
% See solution above
% 2.33/2.50  ||#
% 2.33/2.50  
% 2.33/2.50  ; Summary of computation:
% 2.33/2.50  ;     13855 formulas have been input or derived (from 1584 formulas).
% 2.33/2.50  ;      6688 (48%) were retained.  Of these,
% 2.33/2.50  ;         1136 (17%) were simplified or subsumed later,
% 2.33/2.50  ;         5552 (83%) are still being kept.
% 2.33/2.50  ; 
% 2.33/2.50  ; Run time in seconds:
% 2.33/2.50  ;     0.371  18%   Read assertion file          (1 call)
% 2.33/2.50  ;     0.036   2%   Assert                       (2,744 calls)
% 2.33/2.50  ;     0.553  27%   Process new row              (12,218 calls)
% 2.33/2.50  ;     0.293  14%   Resolution                   (3,166 calls)
% 2.33/2.50  ;     0.058   3%   Paramodulation               (1,583 calls)
% 2.33/2.50  ;     0.000   0%   Factoring                    (42 calls)
% 2.33/2.50  ;     0.039   2%   Condensing                   (4,026 calls)
% 2.33/2.50  ;     0.096   5%   Forward subsumption          (4,026 calls)
% 2.33/2.50  ;     0.101   5%   Backward subsumption         (3,501 calls)
% 2.33/2.50  ;     0.017   1%   Clause clause subsumption    (3,271 calls)
% 2.33/2.50  ;     0.216  11%   Forward simplification       (11,547 calls)
% 2.33/2.50  ;     0.094   5%   Backward simplification      (6,544 calls)
% 2.33/2.50  ;     0.037   2%   Ordering                     (12,475 calls)
% 2.33/2.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.33/2.50  ;     0.014   1%   Purity testing               (1 call)
% 2.33/2.50  ;     0.101   5%   Other
% 2.33/2.50  ;     2.026        Total
% 2.33/2.50  ;     2.026        Real time
% 2.33/2.50  ; 
% 2.33/2.50  ; Term-hash-array has 13,593 terms in all.
% 2.33/2.50  ; Feature-vector-row-index has 2,985 entries (2,985 at peak, 3,501 added, 516 deleted).
% 2.33/2.50  ; Feature-vector-row-index has 13,971 nodes (13,971 at peak, 17,761 added, 3,790 deleted).
% 2.33/2.50  ;  Retrieved 5,215 possibly forward subsuming rows in 4,026 calls.
% 2.33/2.50  ;  Retrieved 2,842 possibly backward subsumed rows in 3,501 calls.
% 2.33/2.50  ; Path-index has 11,729 entries (11,729 at peak, 13,947 added, 2,218 deleted).
% 2.33/2.50  ; Path-index has 50,858 nodes (50,858 at peak, 54,774 added, 3,916 deleted).
% 2.33/2.50  ; Trie-index has 11,729 entries (11,729 at peak, 13,947 added, 2,218 deleted).
% 2.33/2.50  ; Trie-index has 62,357 nodes (62,357 at peak, 74,884 added, 12,527 deleted).
% 2.33/2.50  ; Retrieved 14,476 generalization terms in 42,849 calls.
% 2.33/2.50  ; Retrieved 4,768 instance terms in 3,192 calls.
% 2.33/2.50  ; Retrieved 405,174 unifiable terms in 11,163 calls.
% 2.33/2.50  ; 
% 2.33/2.50  ; The agenda of rows to process has 1 entry:
% 2.33/2.50  ;     1 with value 27
% 2.33/2.50  ; The agenda of input rows to give has 535 entries:
% 2.33/2.50  ;    13 with value 20             17 with value 33               2 with value 46
% 2.33/2.50  ;    44 with value 21             16 with value 34               1 with value 48
% 2.33/2.50  ;    43 with value 22              5 with value 35               7 with value 49
% 2.33/2.50  ;    75 with value 23             19 with value 36               1 with value 50
% 2.33/2.50  ;    22 with value 24              6 with value 37               4 with value 55
% 2.33/2.50  ;    24 with value 25             14 with value 38               6 with value 56
% 2.33/2.50  ;    26 with value 26              5 with value 39               2 with value 61
% 2.33/2.50  ;    34 with value 27              5 with value 40               3 with value 62
% 2.33/2.50  ;    27 with value 28              9 with value 41               1 with value 65
% 2.33/2.50  ;    26 with value 29              5 with value 42               1 with value 82
% 2.33/2.50  ;    12 with value 30             12 with value 43               2 with value 85
% 2.33/2.50  ;    16 with value 31              4 with value 44               1 with value 88
% 2.33/2.50  ;    19 with value 32              5 with value 45               1 with value 90
% 2.33/2.50  ; The agenda of rows to give has 3529 entries:
% 2.33/2.50  ;     2 with value (4 4)         150 with value (4 22)          35 with value (4 40)
% 2.33/2.50  ;    10 with value (4 5)         157 with value (4 23)          36 with value (4 41)
% 2.33/2.50  ;    18 with value (4 6)         115 with value (4 24)          30 with value (4 42)
% 2.33/2.50  ;    13 with value (4 7)         106 with value (4 25)          14 with value (4 43)
% 2.33/2.50  ;    38 with value (4 8)          84 with value (4 26)          12 with value (4 44)
% 2.33/2.50  ;    63 with value (4 9)         115 with value (4 27)           8 with value (4 45)
% 2.33/2.50  ;   108 with value (4 10)         61 with value (4 28)           2 with value (4 46)
% 2.33/2.50  ;    70 with value (4 11)        125 with value (4 29)          14 with value (4 47)
% 2.33/2.50  ;   143 with value (4 12)         62 with value (4 30)           1 with value (4 48)
% 2.33/2.50  ;   123 with value (4 13)         76 with value (4 31)          10 with value (4 49)
% 2.33/2.50  ;   182 with value (4 14)         91 with value (4 32)           6 with value (4 52)
% 2.33/2.50  ;   154 with value (4 15)         36 with value (4 33)           2 with value (4 54)
% 2.33/2.50  ;   177 with value (4 16)         32 with value (4 34)           4 with value (4 55)
% 2.33/2.50  ;   181 with value (4 17)         42 with value (4 35)           1 with value (4 56)
% 2.33/2.50  ;   155 with value (4 18)         18 with value (4 36)           2 with value (4 57)
% 2.33/2.50  ;   183 with value (4 19)         38 with value (4 37)           5 with value (4 59)
% 2.33/2.50  ;   175 with value (4 20)         15 with value (4 38)           2 with value (4 61)
% 2.33/2.50  ;   184 with value (4 21)         43 with value (4 39)
% 2.33/2.50  Evaluation took:
% 2.33/2.50    2.029 seconds of real time
% 2.33/2.50    1.891033 seconds of user run time
% 2.33/2.50    0.136832 seconds of system run time
% 2.33/2.50    [Run times include 0.285 seconds GC run time.]
% 2.33/2.50    0 calls to %EVAL
% 2.33/2.50    0 page faults and
% 2.33/2.50    153,487,584 bytes consed.
% 2.33/2.50  :PROOF-FOUND
% 2.33/2.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T07:50:59
% 2.33/2.50  :PROOF-FOUND
% 2.33/2.50  * 
%------------------------------------------------------------------------------