TSTP Solution File: SEU217+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 14:20:14 EDT 2022

% Result   : Theorem 4.38s 4.53s
% Output   : Refutation 4.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   3 equ;   5 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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(148,axiom,
    relation(identity_relation(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).

cnf(163,axiom,
    function(identity_relation(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).

cnf(277,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | X != identity_relation(Y)
    | ~ in(Z,Y)
    | apply(X,Z) = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).

cnf(280,negated_conjecture,
    in('SKOLEMAAAV68','SKOLEMAAAV67'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).

cnf(281,negated_conjecture,
    apply(identity_relation('SKOLEMAAAV67'),'SKOLEMAAAV68') != 'SKOLEMAAAV68',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).

cnf(5671,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[277,148,163,280,281,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n024.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 : Sun Jun 19 00:06:02 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T00:06:02
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-19T00:06:02
% 0.21/0.54  
% 0.21/0.54  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.54  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.55  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.55  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.21/0.55  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.55  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.21/0.55  ; Declaring unordered_pair to be commutative.
% 0.21/0.55  ; Declaring set_union2 to be commutative.
% 0.21/0.55  ; Declaring set_intersection2 to be commutative.
% 0.21/0.55  WARNING:
% 0.21/0.55     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.55  WARNING:
% 0.21/0.55     |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 4.38/4.53  ; Declaring disjoint to be commutative.
% 4.38/4.53  
% 4.38/4.53  #||
% 4.38/4.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.38/4.53  % SZS output start Refutation
% See solution above
% 4.38/4.53  ||#
% 4.38/4.53  
% 4.38/4.53  ; Summary of computation:
% 4.38/4.53  ;     21780 formulas have been input or derived (from 277 formulas).
% 4.38/4.53  ;      5671 (26%) were retained.  Of these,
% 4.38/4.53  ;          739 (13%) were simplified or subsumed later,
% 4.38/4.53  ;         4932 (87%) are still being kept.
% 4.38/4.53  ; 
% 4.38/4.53  ; Run time in seconds excluding printing time:
% 4.38/4.53  ;     0.048   1%   Read assertion file          (1 call)
% 4.38/4.53  ;     0.013   0%   Assert                       (222 calls)
% 4.38/4.53  ;     0.662  16%   Process new row              (21,084 calls)
% 4.38/4.53  ;     0.972  24%   Resolution                   (552 calls)
% 4.38/4.53  ;     0.005   0%   Paramodulation               (276 calls)
% 4.38/4.53  ;     0.000   0%   Factoring                    (20 calls)
% 4.38/4.53  ;     0.282   7%   Condensing                   (15,815 calls)
% 4.38/4.53  ;     0.988  24%   Forward subsumption          (15,815 calls)
% 4.38/4.53  ;     0.263   7%   Backward subsumption         (4,924 calls)
% 4.38/4.53  ;     0.116   3%   Clause clause subsumption    (29,426 calls)
% 4.38/4.53  ;     0.524  13%   Forward simplification       (21,078 calls)
% 4.38/4.53  ;     0.031   1%   Backward simplification      (5,664 calls)
% 4.38/4.53  ;     0.043   1%   Ordering                     (23,119 calls)
% 4.38/4.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 4.38/4.53  ;     0.002   0%   Purity testing               (1 call)
% 4.38/4.53  ;     0.097   2%   Other
% 4.38/4.53  ;     4.046        Total
% 4.38/4.53  ;     4.047        Real time
% 4.38/4.53  ; 
% 4.38/4.53  ; Term-hash-array has 14,197 terms in all.
% 4.38/4.53  ; Feature-vector-row-index has 4,329 entries (4,329 at peak, 4,924 added, 595 deleted).
% 4.38/4.53  ; Feature-vector-row-index has 19,575 nodes (19,575 at peak, 25,175 added, 5,600 deleted).
% 4.38/4.53  ;  Retrieved 72,614 possibly forward subsuming rows in 15,815 calls.
% 4.38/4.53  ;  Retrieved 4,104 possibly backward subsumed rows in 4,924 calls.
% 4.38/4.53  ; Path-index has 12,354 entries (12,354 at peak, 14,542 added, 2,188 deleted).
% 4.38/4.53  ; Path-index has 23,301 nodes (23,301 at peak, 25,076 added, 1,775 deleted).
% 4.38/4.53  ; Trie-index has 12,354 entries (12,354 at peak, 14,542 added, 2,188 deleted).
% 4.38/4.53  ; Trie-index has 41,904 nodes (41,904 at peak, 49,884 added, 7,980 deleted).
% 4.38/4.53  ; Retrieved 66,100 generalization terms in 163,198 calls.
% 4.38/4.53  ; Retrieved 1,052 instance terms in 740 calls.
% 4.38/4.53  ; Retrieved 1,967,797 unifiable terms in 7,915 calls.
% 4.38/4.53  ; 
% 4.38/4.53  ; The agenda of rows to process has 30 entries:
% 4.38/4.53  ;     1 with value 5               2 with value 16               2 with value 25
% 4.38/4.53  ;     2 with value 6               2 with value 18               1 with value 26
% 4.38/4.53  ;     1 with value 8               1 with value 19               2 with value 27
% 4.38/4.53  ;     4 with value 10              1 with value 20               1 with value 30
% 4.38/4.53  ;     4 with value 12              1 with value 23               4 with value 31
% 4.38/4.53  ;     1 with value 15
% 4.38/4.53  ; The agenda of input rows to give has 80 entries:
% 4.38/4.53  ;     4 with value 23              2 with value 30               2 with value 37
% 4.38/4.53  ;     6 with value 24              5 with value 31               2 with value 40
% 4.38/4.53  ;     8 with value 25              5 with value 32               2 with value 41
% 4.38/4.53  ;     9 with value 26              3 with value 33               2 with value 42
% 4.38/4.53  ;     7 with value 27              2 with value 34               2 with value 44
% 4.38/4.53  ;     6 with value 28              6 with value 35               2 with value 49
% 4.38/4.53  ;     1 with value 29              3 with value 36               1 with value 52
% 4.38/4.53  ; The agenda of rows to give has 4590 entries:
% 4.38/4.53  ;     2 with value (4 4)          99 with value (4 27)          33 with value (4 50)
% 4.38/4.53  ;    12 with value (4 5)         153 with value (4 28)          14 with value (4 51)
% 4.38/4.53  ;    10 with value (4 6)         138 with value (4 29)          37 with value (4 52)
% 4.38/4.53  ;    66 with value (4 7)         162 with value (4 30)          25 with value (4 53)
% 4.38/4.53  ;    39 with value (4 8)         143 with value (4 31)          18 with value (4 54)
% 4.38/4.53  ;    70 with value (4 9)         120 with value (4 32)          14 with value (4 55)
% 4.38/4.53  ;    78 with value (4 10)        136 with value (4 33)          15 with value (4 56)
% 4.38/4.53  ;    66 with value (4 11)        126 with value (4 34)           8 with value (4 57)
% 4.38/4.53  ;    86 with value (4 12)        129 with value (4 35)          11 with value (4 58)
% 4.38/4.53  ;    78 with value (4 13)        112 with value (4 36)          20 with value (4 59)
% 4.38/4.53  ;    74 with value (4 14)        143 with value (4 37)           8 with value (4 60)
% 4.38/4.53  ;    79 with value (4 15)         77 with value (4 38)          14 with value (4 61)
% 4.38/4.53  ;    83 with value (4 16)        116 with value (4 39)           3 with value (4 62)
% 4.38/4.53  ;   106 with value (4 17)         90 with value (4 40)           1 with value (4 63)
% 4.38/4.53  ;    92 with value (4 18)         99 with value (4 41)           5 with value (4 64)
% 4.38/4.53  ;   124 with value (4 19)        101 with value (4 42)           3 with value (4 65)
% 4.38/4.53  ;   109 with value (4 20)         75 with value (4 43)           1 with value (4 66)
% 4.38/4.53  ;   128 with value (4 21)        112 with value (4 44)           2 with value (4 67)
% 4.38/4.53  ;   130 with value (4 22)         90 with value (4 45)           1 with value (4 68)
% 4.38/4.53  ;   100 with value (4 23)         61 with value (4 46)           1 with value (4 69)
% 4.38/4.53  ;    89 with value (4 24)         79 with value (4 47)           1 with value (4 71)
% 4.38/4.53  ;   148 with value (4 25)         39 with value (4 48)           3 with value (4 72)
% 4.38/4.53  ;   128 with value (4 26)         55 with value (4 49)
% 4.38/4.53  Evaluation took:
% 4.38/4.53    4.05 seconds of real time
% 4.38/4.53    3.797886 seconds of user run time
% 4.38/4.53    0.252429 seconds of system run time
% 4.38/4.53    [Run times include 0.461 seconds GC run time.]
% 4.38/4.53    0 calls to %EVAL
% 4.38/4.53    0 page faults and
% 4.38/4.53    328,932,512 bytes consed.
% 4.38/4.53  :PROOF-FOUND
% 4.38/4.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T00:06:06
% 4.38/4.53  :PROOF-FOUND
% 4.38/4.53  * 
%------------------------------------------------------------------------------