TSTP Solution File: SEU186+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU186+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:19:56 EDT 2022

% Result   : Theorem 21.55s 21.74s
% Output   : Refutation 21.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   1 nHn;  10 RR)
%            Number of literals    :   15 (   3 equ;   7 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(84,axiom,
    ( ~ relation(X)
    | ~ relation(Y)
    | Y = relation_inverse(X)
    | in(ordered_pair('SKOLEMAAAV29'(Y,X),'SKOLEMAAAV30'(Y,X)),Y)
    | in(ordered_pair('SKOLEMAAAV30'(Y,X),'SKOLEMAAAV29'(Y,X)),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_relat_1) ).

cnf(112,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

cnf(118,axiom,
    relation(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).

cnf(223,negated_conjecture,
    relation('SKOLEMAAAV48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relat_1) ).

cnf(224,negated_conjecture,
    ~ in(ordered_pair(X,Y),'SKOLEMAAAV48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relat_1) ).

cnf(225,negated_conjecture,
    'SKOLEMAAAV48' != empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relat_1) ).

cnf(234,axiom,
    ( ~ in(X,Y)
    | ~ empty(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

cnf(266,plain,
    ~ in(X,empty_set),
    inference('UR-RESOLVE',[status(thm)],[234,112]) ).

cnf(7100,plain,
    'SKOLEMAAAV48' = relation_inverse('SKOLEMAAAV48'),
    inference('UR-RESOLVE',[status(thm)],[84,223,223,224,224]) ).

cnf(7102,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[84,223,118]),224,266,225,7100,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU186+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 20 03:21:52 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T03:21:52
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-20T03:21:52
% 0.20/0.53  
% 0.20/0.53  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.53  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.54  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.54  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.54  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.54  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.54  ; Declaring unordered_pair to be commutative.
% 0.20/0.54  ; Declaring set_union2 to be commutative.
% 0.20/0.54  ; Declaring set_intersection2 to be commutative.
% 0.20/0.54  WARNING:
% 0.20/0.54     |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 21.55/21.74  ; Declaring disjoint to be commutative.
% 21.55/21.74  
% 21.55/21.74  #||
% 21.55/21.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.55/21.74  % SZS output start Refutation
% See solution above
% 21.55/21.75  ||#
% 21.55/21.75  
% 21.55/21.75  ; Summary of computation:
% 21.55/21.75  ;     73561 formulas have been input or derived (from 234 formulas).
% 21.55/21.75  ;      7102 (10%) were retained.  Of these,
% 21.55/21.75  ;          140 ( 2%) were simplified or subsumed later,
% 21.55/21.75  ;         6962 (98%) are still being kept.
% 21.55/21.75  ; 
% 21.55/21.75  ; Run time in seconds excluding printing time:
% 21.55/21.75  ;     0.034   0%   Read assertion file          (1 call)
% 21.55/21.75  ;     0.007   0%   Assert                       (164 calls)
% 21.55/21.75  ;     1.078   5%   Process new row              (72,392 calls)
% 21.55/21.75  ;     8.803  41%   Resolution                   (466 calls)
% 21.55/21.75  ;     0.007   0%   Paramodulation               (233 calls)
% 21.55/21.75  ;     0.000   0%   Factoring                    (27 calls)
% 21.55/21.75  ;     1.274   6%   Condensing                   (68,015 calls)
% 21.55/21.75  ;     4.744  22%   Forward subsumption          (68,015 calls)
% 21.55/21.75  ;     0.461   2%   Backward subsumption         (6,575 calls)
% 21.55/21.75  ;     1.164   5%   Clause clause subsumption    (205,803 calls)
% 21.55/21.75  ;     3.027  14%   Forward simplification       (72,388 calls)
% 21.55/21.75  ;     0.015   0%   Backward simplification      (7,096 calls)
% 21.55/21.75  ;     0.357   2%   Ordering                     (134,099 calls)
% 21.55/21.75  ;     0.000   0%   Sortal reasoning             (32 calls)
% 21.55/21.75  ;     0.001   0%   Purity testing               (1 call)
% 21.55/21.75  ;     0.282   1%   Other
% 21.55/21.75  ;    21.254        Total
% 21.55/21.75  ;    21.257        Real time
% 21.55/21.75  ; 
% 21.58/21.75  ; Term-hash-array has 16,964 terms in all.
% 21.58/21.75  ; Feature-vector-row-index has 6,549 entries (6,549 at peak, 6,575 added, 26 deleted).
% 21.58/21.75  ; Feature-vector-row-index has 23,141 nodes (23,141 at peak, 23,228 added, 87 deleted).
% 21.58/21.75  ;  Retrieved 826,517 possibly forward subsuming rows in 68,015 calls.
% 21.58/21.75  ;  Retrieved 16,740 possibly backward subsumed rows in 6,575 calls.
% 21.58/21.75  ; Path-index has 16,820 entries (16,822 at peak, 17,014 added, 194 deleted).
% 21.58/21.75  ; Path-index has 28,172 nodes (28,172 at peak, 28,315 added, 143 deleted).
% 21.58/21.75  ; Trie-index has 16,820 entries (16,822 at peak, 17,014 added, 194 deleted).
% 21.58/21.75  ; Trie-index has 48,698 nodes (48,698 at peak, 49,178 added, 480 deleted).
% 21.58/21.75  ; Retrieved 328,230 generalization terms in 657,448 calls.
% 21.58/21.75  ; Retrieved 674 instance terms in 521 calls.
% 21.58/21.75  ; Retrieved 14,263,827 unifiable terms in 17,534 calls.
% 21.58/21.75  ; 
% 21.58/21.75  ; The agenda of rows to process has 6 entries:
% 21.58/21.75  ;     6 with value 31
% 21.58/21.75  ; The agenda of input rows to give has 8 entries:
% 21.58/21.75  ;     1 with value 37              2 with value 42               1 with value 52
% 21.58/21.75  ;     2 with value 40              2 with value 44
% 21.58/21.75  ; The agenda of rows to give has 6725 entries:
% 21.58/21.75  ;     1 with value (4 4)         120 with value (4 32)          62 with value (4 60)
% 21.58/21.75  ;    10 with value (4 5)         171 with value (4 33)          67 with value (4 61)
% 21.58/21.75  ;     7 with value (4 6)         189 with value (4 34)          61 with value (4 62)
% 21.58/21.75  ;    46 with value (4 7)         177 with value (4 35)          59 with value (4 63)
% 21.58/21.75  ;    35 with value (4 8)         159 with value (4 36)          58 with value (4 64)
% 21.58/21.75  ;    44 with value (4 9)         173 with value (4 37)          34 with value (4 65)
% 21.58/21.75  ;    70 with value (4 10)        176 with value (4 38)          39 with value (4 66)
% 21.58/21.75  ;    58 with value (4 11)        186 with value (4 39)          28 with value (4 67)
% 21.58/21.75  ;    52 with value (4 12)        139 with value (4 40)          23 with value (4 68)
% 21.58/21.75  ;    58 with value (4 13)        138 with value (4 41)          28 with value (4 69)
% 21.58/21.75  ;    50 with value (4 14)        194 with value (4 42)          27 with value (4 70)
% 21.58/21.75  ;    61 with value (4 15)        196 with value (4 43)          28 with value (4 71)
% 21.58/21.75  ;    61 with value (4 16)        167 with value (4 44)          25 with value (4 72)
% 21.58/21.75  ;    62 with value (4 17)        168 with value (4 45)          17 with value (4 73)
% 21.58/21.75  ;    74 with value (4 18)        126 with value (4 46)          22 with value (4 74)
% 21.58/21.75  ;    85 with value (4 19)        181 with value (4 47)           9 with value (4 75)
% 21.58/21.75  ;    88 with value (4 20)        127 with value (4 48)           6 with value (4 76)
% 21.58/21.75  ;    94 with value (4 21)        119 with value (4 49)          12 with value (4 77)
% 21.58/21.75  ;    87 with value (4 22)        160 with value (4 50)           7 with value (4 78)
% 21.58/21.75  ;    79 with value (4 23)         95 with value (4 51)           6 with value (4 79)
% 21.58/21.75  ;    67 with value (4 24)        119 with value (4 52)           3 with value (4 80)
% 21.58/21.75  ;   113 with value (4 25)        101 with value (4 53)           1 with value (4 81)
% 21.58/21.75  ;   111 with value (4 26)         95 with value (4 54)           1 with value (4 82)
% 21.58/21.75  ;    82 with value (4 27)        141 with value (4 55)           4 with value (4 83)
% 21.58/21.75  ;   133 with value (4 28)         95 with value (4 56)          10 with value (4 84)
% 21.58/21.75  ;   129 with value (4 29)         92 with value (4 57)           6 with value (4 85)
% 21.58/21.75  ;   173 with value (4 30)        112 with value (4 58)           2 with value (4 86)
% 21.58/21.75  ;   159 with value (4 31)         72 with value (4 59)           3 with value (4 87)
% 21.58/21.75  Evaluation took:
% 21.58/21.75    21.261 seconds of real time
% 21.58/21.75    20.203436 seconds of user run time
% 21.58/21.75    1.056152 seconds of system run time
% 21.58/21.75    [Run times include 1.921 seconds GC run time.]
% 21.58/21.75    0 calls to %EVAL
% 21.58/21.75    0 page faults and
% 21.58/21.75    1,357,211,688 bytes consed.
% 21.58/21.75  :PROOF-FOUND
% 21.58/21.75  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T03:22:14
% 21.58/21.75  :PROOF-FOUND
% 21.58/21.75  * 
%------------------------------------------------------------------------------