TSTP Solution File: LAT272-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT272-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 06:43:13 EDT 2022

% Result   : Unsatisfiable 2.64s 2.82s
% Output   : Refutation 2.64s
% 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    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
    ( ~ c_Tarski_OisLub(X,v_cl,Y,t_a)
    | ~ c_in(Z,X,t_a)
    | c_in(c_Pair(Z,Y,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_6,negated_conjecture,
    c_in(v_x,v_S,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_7,negated_conjecture,
    ~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(7680,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,cls_conjecture_4,cls_conjecture_6,cls_conjecture_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT272-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 30 10:37:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 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 2022-06-30T10:37:23
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-30T10:37:23
% 0.61/0.81  
% 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).
% 0.61/0.84  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |c_Relation_Oantisym| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |c_Relation_Orefl| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.87  WARNING:
% 0.71/0.87     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.64/2.82  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 2.64/2.82  
% 2.64/2.82  #||
% 2.64/2.82  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.64/2.82  % SZS output start Refutation
% See solution above
% 2.64/2.82  ||#
% 2.64/2.82  
% 2.64/2.82  ; Summary of computation:
% 2.64/2.82  ;     16149 formulas have been input or derived (from 1689 formulas).
% 2.64/2.82  ;      7680 (48%) were retained.  Of these,
% 2.64/2.82  ;         1240 (16%) were simplified or subsumed later,
% 2.64/2.82  ;         6440 (84%) are still being kept.
% 2.64/2.82  ; 
% 2.64/2.82  ; Run time in seconds excluding printing time:
% 2.64/2.82  ;     0.333  14%   Read assertion file          (1 call)
% 2.64/2.82  ;     0.042   2%   Assert                       (2,759 calls)
% 2.64/2.82  ;     0.622  26%   Process new row              (14,304 calls)
% 2.64/2.82  ;     0.346  15%   Resolution                   (3,376 calls)
% 2.64/2.82  ;     0.047   2%   Paramodulation               (1,688 calls)
% 2.64/2.82  ;     0.000   0%   Factoring                    (49 calls)
% 2.64/2.82  ;     0.115   5%   Condensing                   (4,727 calls)
% 2.64/2.82  ;     0.144   6%   Forward subsumption          (4,727 calls)
% 2.64/2.82  ;     0.186   8%   Backward subsumption         (4,033 calls)
% 2.64/2.82  ;     0.073   3%   Clause clause subsumption    (4,236 calls)
% 2.64/2.82  ;     0.222   9%   Forward simplification       (13,562 calls)
% 2.64/2.82  ;     0.091   4%   Backward simplification      (7,536 calls)
% 2.64/2.82  ;     0.057   2%   Ordering                     (14,813 calls)
% 2.64/2.82  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.64/2.82  ;     0.014   1%   Purity testing               (1 call)
% 2.64/2.82  ;     0.061   3%   Other
% 2.64/2.82  ;     2.353        Total
% 2.64/2.82  ;     2.354        Real time
% 2.64/2.82  ; 
% 2.64/2.82  ; Term-hash-array has 16,016 terms in all.
% 2.64/2.82  ; Feature-vector-row-index has 3,481 entries (3,481 at peak, 4,033 added, 552 deleted).
% 2.64/2.82  ; Feature-vector-row-index has 17,383 nodes (17,383 at peak, 21,443 added, 4,060 deleted).
% 2.64/2.82  ;  Retrieved 6,304 possibly forward subsuming rows in 4,727 calls.
% 2.64/2.82  ;  Retrieved 2,778 possibly backward subsumed rows in 4,033 calls.
% 2.64/2.82  ; Path-index has 13,945 entries (13,945 at peak, 16,417 added, 2,472 deleted).
% 2.64/2.82  ; Path-index has 59,421 nodes (59,421 at peak, 63,756 added, 4,335 deleted).
% 2.64/2.82  ; Trie-index has 13,945 entries (13,945 at peak, 16,417 added, 2,472 deleted).
% 2.64/2.82  ; Trie-index has 75,624 nodes (75,624 at peak, 89,606 added, 13,982 deleted).
% 2.64/2.82  ; Retrieved 19,260 generalization terms in 53,128 calls.
% 2.64/2.82  ; Retrieved 5,358 instance terms in 3,658 calls.
% 2.64/2.82  ; Retrieved 522,005 unifiable terms in 13,289 calls.
% 2.64/2.82  ; 
% 2.64/2.82  ; The agenda of rows to process has 8 entries:
% 2.64/2.82  ;     1 with value 6               1 with value 11               1 with value 20
% 2.64/2.82  ;     2 with value 7               3 with value 13
% 2.64/2.82  ; The agenda of input rows to give has 449 entries:
% 2.64/2.82  ;    76 with value 23             18 with value 36               6 with value 49
% 2.64/2.82  ;    23 with value 24              7 with value 37               1 with value 53
% 2.64/2.82  ;    23 with value 25             12 with value 38               1 with value 54
% 2.64/2.82  ;    26 with value 26              6 with value 39               4 with value 55
% 2.64/2.82  ;    34 with value 27              5 with value 40               6 with value 56
% 2.64/2.82  ;    29 with value 28             13 with value 41               2 with value 61
% 2.64/2.82  ;    27 with value 29              4 with value 42               3 with value 62
% 2.64/2.82  ;    13 with value 30             12 with value 43               1 with value 65
% 2.64/2.82  ;    17 with value 31              4 with value 44               1 with value 82
% 2.64/2.82  ;    20 with value 32              5 with value 45               2 with value 85
% 2.64/2.82  ;    17 with value 33              2 with value 46               1 with value 88
% 2.64/2.82  ;    18 with value 34              1 with value 47               1 with value 90
% 2.64/2.82  ;     5 with value 35              3 with value 48
% 2.64/2.82  ; The agenda of rows to give has 4408 entries:
% 2.64/2.82  ;     2 with value (4 4)         197 with value (4 23)          32 with value (4 42)
% 2.64/2.82  ;     8 with value (4 5)         160 with value (4 24)          21 with value (4 43)
% 2.64/2.82  ;    18 with value (4 6)         144 with value (4 25)          17 with value (4 44)
% 2.64/2.82  ;    13 with value (4 7)         120 with value (4 26)           8 with value (4 45)
% 2.64/2.82  ;    43 with value (4 8)         149 with value (4 27)           5 with value (4 46)
% 2.64/2.82  ;    69 with value (4 9)         103 with value (4 28)          14 with value (4 47)
% 2.64/2.82  ;   129 with value (4 10)        176 with value (4 29)           3 with value (4 48)
% 2.64/2.82  ;    78 with value (4 11)         93 with value (4 30)          10 with value (4 49)
% 2.64/2.82  ;   160 with value (4 12)         93 with value (4 31)           1 with value (4 50)
% 2.64/2.82  ;   147 with value (4 13)        115 with value (4 32)           6 with value (4 52)
% 2.64/2.82  ;   197 with value (4 14)         49 with value (4 33)           1 with value (4 53)
% 2.64/2.82  ;   189 with value (4 15)         61 with value (4 34)           9 with value (4 54)
% 2.64/2.82  ;   216 with value (4 16)         56 with value (4 35)           4 with value (4 55)
% 2.64/2.82  ;   226 with value (4 17)         23 with value (4 36)           3 with value (4 56)
% 2.64/2.82  ;   172 with value (4 18)         51 with value (4 37)           3 with value (4 57)
% 2.64/2.82  ;   210 with value (4 19)         21 with value (4 38)           5 with value (4 59)
% 2.64/2.82  ;   230 with value (4 20)         54 with value (4 39)           2 with value (4 60)
% 2.64/2.82  ;   240 with value (4 21)         41 with value (4 40)           2 with value (4 61)
% 2.64/2.82  ;   171 with value (4 22)         38 with value (4 41)
% 2.64/2.82  Evaluation took:
% 2.64/2.82    2.356 seconds of real time
% 2.64/2.82    2.183342 seconds of user run time
% 2.64/2.82    0.172384 seconds of system run time
% 2.64/2.82    [Run times include 0.348 seconds GC run time.]
% 2.64/2.82    0 calls to %EVAL
% 2.64/2.82    0 page faults and
% 2.64/2.82    182,481,032 bytes consed.
% 2.64/2.82  :PROOF-FOUND
% 2.64/2.82  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T10:37:25
% 2.64/2.82  :PROOF-FOUND
% 2.64/2.82  * 
%------------------------------------------------------------------------------