TSTP Solution File: SWV452+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV452+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 : Wed Jul 20 21:34:26 EDT 2022

% Result   : Theorem 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   27 (  20 unt;   1 nHn;  25 RR)
%            Number of literals    :   41 (  20 equ;  17 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(40,axiom,
    ( host(X) = host(Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_33) ).

cnf(55,axiom,
    ( elem(X,cons(Y,Z))
    | ~ elem(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

cnf(98,negated_conjecture,
    ( setIn(X,alive)
    | ~ leq(Y,X)
    | host(X) != host(Y)
    | ~ setIn(Y,alive) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(100,negated_conjecture,
    ( host(X) = host(Y)
    | ~ setIn(Y,alive)
    | ~ setIn(X,alive)
    | host(Z) != host(Y)
    | host(U) != host(X)
    | ~ elem(m_Down(U),queue(host(Y)))
    | ~ elem(m_Down(Z),queue(host(X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(101,negated_conjecture,
    queue(host('SKOLEMAAAV6')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(102,negated_conjecture,
    setIn('SKOLEMAAAV6',alive),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(108,negated_conjecture,
    ( host('SKOLEMAAAV6') != host(X)
    | leq(X,'SKOLEMAAAV5') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(110,negated_conjecture,
    host('SKOLEMAAAV6') = host('SKOLEMAAAV5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(112,negated_conjecture,
    host('SKOLEMAAAV6') = host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(113,plain,
    host('SKOLEMAAAV5') = host('SKOLEMAAAV8'),
    inference('REWRITE',[status(thm)],[112,110,theory(equality)]) ).

cnf(114,negated_conjecture,
    host('SKOLEMAAAV6') != host('SKOLEMAAAV10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(115,plain,
    host('SKOLEMAAAV5') != host('SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[114,110,theory(equality)]) ).

cnf(119,negated_conjecture,
    ( setIn('SKOLEMAAAV10',alive)
    | 'SKOLEMAAAV10' = 'SKOLEMAAAV5' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(120,negated_conjecture,
    host('SKOLEMAAAV9') = host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(121,plain,
    host('SKOLEMAAAV9') = host('SKOLEMAAAV5'),
    inference('REWRITE',[status(thm)],[120,113,theory(equality)]) ).

cnf(122,negated_conjecture,
    host('SKOLEMAAAV11') = host('SKOLEMAAAV10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(123,negated_conjecture,
    elem(m_Down('SKOLEMAAAV11'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(124,negated_conjecture,
    elem(m_Down('SKOLEMAAAV9'),queue(host('SKOLEMAAAV10'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(125,plain,
    queue(host('SKOLEMAAAV5')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[101,110,theory(equality)]) ).

cnf(131,plain,
    ( host('SKOLEMAAAV5') != host(X)
    | leq(X,'SKOLEMAAAV5') ),
    inference('REWRITE',[status(thm)],[108,110,theory(equality)]) ).

cnf(270,plain,
    'SKOLEMAAAV10' != 'SKOLEMAAAV5',
    inference('UR-RESOLVE',[status(thm)],[40,115]) ).

cnf(272,plain,
    setIn('SKOLEMAAAV10',alive),
    inference('REWRITE',[status(thm)],[119,270]) ).

cnf(279,plain,
    elem(m_Down('SKOLEMAAAV11'),cons(X,'SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[55,123]) ).

cnf(294,plain,
    leq('SKOLEMAAAV6','SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[131,110]) ).

cnf(604,plain,
    setIn('SKOLEMAAAV5',alive),
    inference('HYPERRESOLVE',[status(thm)],[98,294,110,102]) ).

cnf(632,plain,
    ~ elem(m_Down('SKOLEMAAAV11'),queue(host('SKOLEMAAAV5'))),
    inference('UR-RESOLVE',[status(thm)],[100,604,115,272,122,121,124]) ).

cnf(1090,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[279,125,theory(equality)]),632]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV452+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 14:34:54 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T14:34:54
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-15T14:34:54
% 0.61/0.78  
% 0.61/0.78  
% 0.61/0.78  #||
% 0.61/0.78  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78  % SZS output start Refutation
% See solution above
% 0.61/0.78  ||#
% 0.61/0.78  
% 0.61/0.78  ; Summary of computation:
% 0.61/0.78  ;      3251 formulas have been input or derived (from 207 formulas).
% 0.61/0.78  ;      1090 (34%) were retained.  Of these,
% 0.61/0.78  ;           63 ( 6%) were simplified or subsumed later,
% 0.61/0.78  ;         1027 (94%) are still being kept.
% 0.61/0.78  ; 
% 0.61/0.78  ; Run time in seconds excluding printing time:
% 0.61/0.78  ;     0.015   5%   Read assertion file          (1 call)
% 0.61/0.78  ;     0.004   1%   Assert                       (67 calls)
% 0.61/0.78  ;     0.062  23%   Process new row              (2,413 calls)
% 0.61/0.78  ;     0.089  33%   Resolution                   (412 calls)
% 0.61/0.78  ;     0.006   2%   Paramodulation               (206 calls)
% 0.61/0.78  ;     0.000   0%   Factoring                    (9 calls)
% 0.61/0.78  ;     0.006   2%   Condensing                   (344 calls)
% 0.61/0.78  ;     0.009   3%   Forward subsumption          (344 calls)
% 0.61/0.78  ;     0.004   1%   Backward subsumption         (254 calls)
% 0.61/0.78  ;     0.004   1%   Clause clause subsumption    (274 calls)
% 0.61/0.78  ;     0.027  10%   Forward simplification       (2,405 calls)
% 0.61/0.78  ;     0.008   3%   Backward simplification      (1,087 calls)
% 0.61/0.78  ;     0.002   1%   Ordering                     (959 calls)
% 0.61/0.78  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.78  ;     0.000   0%   Purity testing               (1 call)
% 0.61/0.78  ;     0.037  14%   Other
% 0.61/0.78  ;     0.273        Total
% 0.61/0.78  ;     0.275        Real time
% 0.61/0.79  ; 
% 0.61/0.79  ; Term-hash-array has 1,895 terms in all.
% 0.61/0.79  ; Feature-vector-row-index has 219 entries (234 at peak, 254 added, 35 deleted).
% 0.61/0.79  ; Feature-vector-row-index has 1,326 nodes (1,449 at peak, 1,571 added, 245 deleted).
% 0.61/0.79  ;  Retrieved 357 possibly forward subsuming rows in 344 calls.
% 0.61/0.79  ;  Retrieved 25 possibly backward subsumed rows in 254 calls.
% 0.61/0.79  ; Path-index has 1,835 entries (1,835 at peak, 1,929 added, 94 deleted).
% 0.61/0.79  ; Path-index has 2,457 nodes (2,457 at peak, 2,534 added, 77 deleted).
% 0.61/0.79  ; Trie-index has 1,835 entries (1,835 at peak, 1,929 added, 94 deleted).
% 0.61/0.79  ; Trie-index has 4,268 nodes (4,268 at peak, 4,444 added, 176 deleted).
% 0.61/0.79  ; Retrieved 2,663 generalization terms in 6,644 calls.
% 0.61/0.79  ; Retrieved 875 instance terms in 832 calls.
% 0.61/0.79  ; Retrieved 63,459 unifiable terms in 4,634 calls.
% 0.61/0.79  ; 
% 0.61/0.79  ; The agenda of rows to process has 5 entries:
% 0.61/0.79  ;     4 with value 13              1 with value 14
% 0.61/0.79  ; The agenda of rows to give has 830 entries:
% 0.61/0.79  ;    17 with value (4 9)          10 with value (4 17)          10 with value (4 25)
% 0.61/0.79  ;    46 with value (4 10)         22 with value (4 18)          14 with value (4 26)
% 0.61/0.79  ;   131 with value (4 11)          9 with value (4 19)           1 with value (4 30)
% 0.61/0.79  ;   335 with value (4 12)          6 with value (4 20)           8 with value (4 31)
% 0.61/0.79  ;    66 with value (4 13)          4 with value (4 21)           1 with value (4 40)
% 0.61/0.79  ;    93 with value (4 14)         15 with value (4 22)           2 with value (4 43)
% 0.61/0.79  ;    10 with value (4 15)         16 with value (4 23)           1 with value (4 44)
% 0.61/0.79  ;     8 with value (4 16)          2 with value (4 24)           3 with value (4 48)
% 0.61/0.79  Evaluation took:
% 0.61/0.79    0.276 seconds of real time
% 0.61/0.79    0.252489 seconds of user run time
% 0.61/0.79    0.023678 seconds of system run time
% 0.61/0.79    [Run times include 0.011 seconds GC run time.]
% 0.61/0.79    0 calls to %EVAL
% 0.61/0.79    0 page faults and
% 0.61/0.79    18,968,552 bytes consed.
% 0.61/0.79  :PROOF-FOUND
% 0.61/0.79  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T14:34:54
% 0.61/0.79  :PROOF-FOUND
% 0.61/0.79  * 
%------------------------------------------------------------------------------