TSTP Solution File: SWV453+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV453+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   32 (  21 unt;   3 nHn;  30 RR)
%            Number of literals    :   52 (  27 equ;  19 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   :   16 (   2 sgn)

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

cnf(55,axiom,
    ( elem(X,cons(Y,Z))
    | ~ elem(X,Z) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(99,negated_conjecture,
    ( X = Y
    | host(X) != host(Y)
    | ~ setIn(Y,alive)
    | ~ setIn(X,alive) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',conj) ).

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

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

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

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

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

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

cnf(117,negated_conjecture,
    ( setIn('SKOLEMAAAV8',alive)
    | 'SKOLEMAAAV8' = 'SKOLEMAAAV5' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(118,negated_conjecture,
    ( 'SKOLEMAAAV10' != 'SKOLEMAAAV6'
    | 'SKOLEMAAAV10' = 'SKOLEMAAAV5' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

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

cnf(120,negated_conjecture,
    host('SKOLEMAAAV10') != host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(121,negated_conjecture,
    host('SKOLEMAAAV9') = host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

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

cnf(123,negated_conjecture,
    elem(m_Down('SKOLEMAAAV9'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(124,negated_conjecture,
    elem(m_Down('SKOLEMAAAV11'),queue(host('SKOLEMAAAV8'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(125,plain,
    host('SKOLEMAAAV6') = host('SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[110,115,theory(equality)]) ).

cnf(127,plain,
    queue(host('SKOLEMAAAV10')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[101,115,110,theory(equality)]) ).

cnf(133,plain,
    ( host('SKOLEMAAAV10') != host(X)
    | leq(X,'SKOLEMAAAV5') ),
    inference('REWRITE',[status(thm)],[108,115,110,theory(equality)]) ).

cnf(272,plain,
    'SKOLEMAAAV10' != 'SKOLEMAAAV8',
    inference('UR-RESOLVE',[status(thm)],[40,120]) ).

cnf(274,plain,
    elem(m_Down('SKOLEMAAAV9'),cons(X,'SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[55,123]) ).

cnf(291,plain,
    leq('SKOLEMAAAV6','SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[133,125]) ).

cnf(517,plain,
    ( 'SKOLEMAAAV10' = 'SKOLEMAAAV5'
    | 'SKOLEMAAAV10' = 'SKOLEMAAAV6' ),
    inference('HYPERRESOLVE',[status(thm)],[99,125,119,102]) ).

cnf(1071,plain,
    elem(m_Down('SKOLEMAAAV9'),queue(host('SKOLEMAAAV10'))),
    inference('PARAMODULATE',[status(thm)],[274,127,theory(equality)]) ).

cnf(1091,plain,
    'SKOLEMAAAV10' = 'SKOLEMAAAV5',
    inference('HYPERRESOLVE',[status(thm)],[118,517]) ).

cnf(1094,plain,
    setIn('SKOLEMAAAV8',alive),
    inference('REWRITE',[status(thm)],[117,272,1091,theory(equality)]) ).

cnf(1097,plain,
    leq('SKOLEMAAAV6','SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[291,1091,theory(equality)]) ).

cnf(1135,plain,
    setIn('SKOLEMAAAV10',alive),
    inference('HYPERRESOLVE',[status(thm)],[98,1097,125,102]) ).

cnf(1141,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[100,1135,120,1094,121,122,124]),1071]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV453+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Thu Jun 16 05:42:14 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 2022-06-16T05:42:14
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-16T05:42:14
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  #||
% 0.58/0.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.76  % SZS output start Refutation
% See solution above
% 0.58/0.76  ||#
% 0.58/0.76  
% 0.58/0.76  ; Summary of computation:
% 0.58/0.76  ;      3459 formulas have been input or derived (from 217 formulas).
% 0.58/0.76  ;      1141 (33%) were retained.  Of these,
% 0.58/0.76  ;          115 (10%) were simplified or subsumed later,
% 0.58/0.76  ;         1026 (90%) are still being kept.
% 0.58/0.76  ; 
% 0.58/0.76  ; Run time in seconds excluding printing time:
% 0.58/0.76  ;     0.014   5%   Read assertion file          (1 call)
% 0.58/0.76  ;     0.003   1%   Assert                       (67 calls)
% 0.58/0.76  ;     0.080  28%   Process new row              (2,567 calls)
% 0.58/0.76  ;     0.075  27%   Resolution                   (432 calls)
% 0.58/0.76  ;     0.007   2%   Paramodulation               (216 calls)
% 0.58/0.76  ;     0.000   0%   Factoring                    (12 calls)
% 0.58/0.76  ;     0.004   1%   Condensing                   (399 calls)
% 0.58/0.76  ;     0.012   4%   Forward subsumption          (399 calls)
% 0.58/0.76  ;     0.005   2%   Backward subsumption         (267 calls)
% 0.58/0.76  ;     0.002   1%   Clause clause subsumption    (328 calls)
% 0.58/0.76  ;     0.025   9%   Forward simplification       (2,542 calls)
% 0.58/0.76  ;     0.013   5%   Backward simplification      (1,139 calls)
% 0.58/0.76  ;     0.004   1%   Ordering                     (1,086 calls)
% 0.58/0.76  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.58/0.76  ;     0.000   0%   Purity testing               (1 call)
% 0.58/0.76  ;     0.038  13%   Other
% 0.58/0.76  ;     0.282        Total
% 0.58/0.76  ;     0.285        Real time
% 0.58/0.76  ; 
% 0.58/0.76  ; Term-hash-array has 1,941 terms in all.
% 0.58/0.76  ; Feature-vector-row-index has 219 entries (253 at peak, 267 added, 48 deleted).
% 0.58/0.76  ; Feature-vector-row-index has 1,324 nodes (1,465 at peak, 1,559 added, 235 deleted).
% 0.58/0.76  ;  Retrieved 486 possibly forward subsuming rows in 399 calls.
% 0.58/0.76  ;  Retrieved 32 possibly backward subsumed rows in 267 calls.
% 0.58/0.76  ; Path-index has 1,837 entries (1,899 at peak, 1,986 added, 149 deleted).
% 0.58/0.76  ; Path-index has 2,502 nodes (2,535 at peak, 2,608 added, 106 deleted).
% 0.58/0.76  ; Trie-index has 1,837 entries (1,899 at peak, 1,986 added, 149 deleted).
% 0.58/0.76  ; Trie-index has 4,297 nodes (4,397 at peak, 4,571 added, 274 deleted).
% 0.58/0.76  ; Retrieved 2,934 generalization terms in 6,913 calls.
% 0.58/0.76  ; Retrieved 912 instance terms in 871 calls.
% 0.58/0.76  ; Retrieved 69,214 unifiable terms in 5,027 calls.
% 0.58/0.76  ; 
% 0.58/0.76  ; The agenda of rows to process has 3 entries:
% 0.58/0.76  ;     3 with value 12
% 0.58/0.76  ; The agenda of rows to give has 832 entries:
% 0.58/0.76  ;     2 with value (4 7)           6 with value (4 16)          10 with value (4 25)
% 0.58/0.76  ;     2 with value (4 8)          10 with value (4 17)          14 with value (4 26)
% 0.58/0.76  ;    15 with value (4 9)          22 with value (4 18)           1 with value (4 30)
% 0.58/0.76  ;    46 with value (4 10)          9 with value (4 19)           8 with value (4 31)
% 0.58/0.76  ;   131 with value (4 11)          7 with value (4 20)           1 with value (4 40)
% 0.58/0.76  ;   328 with value (4 12)          4 with value (4 21)           2 with value (4 43)
% 0.58/0.76  ;    75 with value (4 13)         15 with value (4 22)           1 with value (4 44)
% 0.58/0.76  ;    91 with value (4 14)         16 with value (4 23)           3 with value (4 48)
% 0.58/0.76  ;    11 with value (4 15)          2 with value (4 24)
% 0.58/0.76  Evaluation took:
% 0.58/0.76    0.285 seconds of real time
% 0.58/0.76    0.25883 seconds of user run time
% 0.58/0.76    0.02611 seconds of system run time
% 0.58/0.76    [Run times include 0.01 seconds GC run time.]
% 0.58/0.76    0 calls to %EVAL
% 0.58/0.76    0 page faults and
% 0.58/0.76    20,307,264 bytes consed.
% 0.58/0.76  :PROOF-FOUND
% 0.58/0.76  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T05:42:15
% 0.58/0.76  :PROOF-FOUND
% 0.58/0.76  * 
%------------------------------------------------------------------------------