TSTP Solution File: SWV456+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV456+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 21:34:27 EDT 2022

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% 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 (  19 equ;  16 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    :   15 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :   14 (   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(101,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)))
    | ~ setIn(host(Z),index(down,host(X))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(102,negated_conjecture,
    queue(host('SKOLEMAAAV6')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(103,negated_conjecture,
    setIn('SKOLEMAAAV6',alive),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(109,negated_conjecture,
    ( host('SKOLEMAAAV6') != host(X)
    | leq(X,'SKOLEMAAAV5') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(111,negated_conjecture,
    host('SKOLEMAAAV6') = host('SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(113,negated_conjecture,
    host('SKOLEMAAAV6') = host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(114,plain,
    host('SKOLEMAAAV5') = host('SKOLEMAAAV8'),
    inference('REWRITE',[status(thm)],[113,111,theory(equality)]) ).

cnf(115,negated_conjecture,
    host('SKOLEMAAAV5') != host('SKOLEMAAAV10'),
    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('SKOLEMAAAV9') = host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(121,plain,
    host('SKOLEMAAAV9') = host('SKOLEMAAAV5'),
    inference('REWRITE',[status(thm)],[120,114,theory(equality)]) ).

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

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

cnf(124,negated_conjecture,
    setIn(host('SKOLEMAAAV9'),index(down,host('SKOLEMAAAV10'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(125,plain,
    setIn(host('SKOLEMAAAV5'),index(down,host('SKOLEMAAAV10'))),
    inference('REWRITE',[status(thm)],[124,121,theory(equality)]) ).

cnf(126,plain,
    queue(host('SKOLEMAAAV5')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[102,111,theory(equality)]) ).

cnf(132,plain,
    ( host('SKOLEMAAAV5') != host(X)
    | leq(X,'SKOLEMAAAV5') ),
    inference('REWRITE',[status(thm)],[109,111,theory(equality)]) ).

cnf(271,plain,
    'SKOLEMAAAV10' != 'SKOLEMAAAV5',
    inference('UR-RESOLVE',[status(thm)],[40,115]) ).

cnf(273,plain,
    setIn('SKOLEMAAAV10',alive),
    inference('REWRITE',[status(thm)],[119,271]) ).

cnf(280,plain,
    elem(m_Down('SKOLEMAAAV11'),cons(X,'SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[55,123]) ).

cnf(293,plain,
    leq('SKOLEMAAAV6','SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[132,111]) ).

cnf(616,plain,
    setIn('SKOLEMAAAV5',alive),
    inference('HYPERRESOLVE',[status(thm)],[98,293,111,103]) ).

cnf(643,plain,
    ~ elem(m_Down('SKOLEMAAAV11'),queue(host('SKOLEMAAAV5'))),
    inference('UR-RESOLVE',[status(thm)],[101,616,115,273,122,125,theory(equality)]) ).

cnf(1087,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[280,126,theory(equality)]),643]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV456+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 01:13:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:13:05
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-16T01:13:05
% 0.60/0.80  
% 0.60/0.80  
% 0.60/0.80  #||
% 0.60/0.80  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80  % SZS output start Refutation
% See solution above
% 0.60/0.80  ||#
% 0.60/0.80  
% 0.60/0.80  ; Summary of computation:
% 0.60/0.80  ;      3224 formulas have been input or derived (from 205 formulas).
% 0.60/0.80  ;      1087 (34%) were retained.  Of these,
% 0.60/0.80  ;           69 ( 6%) were simplified or subsumed later,
% 0.60/0.80  ;         1018 (94%) are still being kept.
% 0.60/0.80  ; 
% 0.60/0.80  ; Run time in seconds excluding printing time:
% 0.60/0.80  ;     0.015   4%   Read assertion file          (1 call)
% 0.60/0.80  ;     0.005   1%   Assert                       (67 calls)
% 0.60/0.80  ;     0.078  23%   Process new row              (2,396 calls)
% 0.60/0.80  ;     0.112  33%   Resolution                   (408 calls)
% 0.60/0.80  ;     0.008   2%   Paramodulation               (204 calls)
% 0.60/0.80  ;     0.000   0%   Factoring                    (9 calls)
% 0.60/0.80  ;     0.004   1%   Condensing                   (362 calls)
% 0.60/0.80  ;     0.017   5%   Forward subsumption          (362 calls)
% 0.60/0.80  ;     0.007   2%   Backward subsumption         (269 calls)
% 0.60/0.80  ;     0.006   2%   Clause clause subsumption    (360 calls)
% 0.60/0.80  ;     0.041  12%   Forward simplification       (2,388 calls)
% 0.60/0.80  ;     0.010   3%   Backward simplification      (1,084 calls)
% 0.60/0.80  ;     0.002   1%   Ordering                     (1,039 calls)
% 0.60/0.80  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.80  ;     0.000   0%   Purity testing               (1 call)
% 0.60/0.80  ;     0.031   9%   Other
% 0.60/0.80  ;     0.336        Total
% 0.60/0.80  ;     0.345        Real time
% 0.60/0.80  ; 
% 0.60/0.80  ; Term-hash-array has 1,878 terms in all.
% 0.60/0.80  ; Feature-vector-row-index has 228 entries (244 at peak, 269 added, 41 deleted).
% 0.60/0.80  ; Feature-vector-row-index has 1,416 nodes (1,536 at peak, 1,700 added, 284 deleted).
% 0.60/0.80  ;  Retrieved 463 possibly forward subsuming rows in 362 calls.
% 0.60/0.80  ;  Retrieved 50 possibly backward subsumed rows in 269 calls.
% 0.60/0.80  ; Path-index has 1,818 entries (1,818 at peak, 1,916 added, 98 deleted).
% 0.60/0.80  ; Path-index has 2,433 nodes (2,433 at peak, 2,511 added, 78 deleted).
% 0.60/0.80  ; Trie-index has 1,818 entries (1,818 at peak, 1,916 added, 98 deleted).
% 0.60/0.80  ; Trie-index has 4,225 nodes (4,225 at peak, 4,403 added, 178 deleted).
% 0.60/0.80  ; Retrieved 2,648 generalization terms in 6,812 calls.
% 0.60/0.80  ; Retrieved 856 instance terms in 814 calls.
% 0.60/0.80  ; Retrieved 67,999 unifiable terms in 4,961 calls.
% 0.60/0.80  ; 
% 0.60/0.80  ; The agenda of rows to process has 5 entries:
% 0.60/0.80  ;     4 with value 13              1 with value 14
% 0.60/0.80  ; The agenda of rows to give has 823 entries:
% 0.60/0.80  ;    17 with value (4 9)          22 with value (4 18)           1 with value (4 30)
% 0.60/0.80  ;    46 with value (4 10)          9 with value (4 19)           8 with value (4 31)
% 0.60/0.80  ;   130 with value (4 11)          9 with value (4 20)           1 with value (4 40)
% 0.60/0.80  ;   328 with value (4 12)          4 with value (4 21)           2 with value (4 43)
% 0.60/0.80  ;    64 with value (4 13)         15 with value (4 22)           1 with value (4 44)
% 0.60/0.80  ;    91 with value (4 14)         16 with value (4 23)           2 with value (4 45)
% 0.60/0.80  ;     9 with value (4 15)          2 with value (4 24)           3 with value (4 48)
% 0.60/0.80  ;     5 with value (4 16)         10 with value (4 25)           4 with value (4 49)
% 0.60/0.80  ;    10 with value (4 17)         14 with value (4 26)
% 0.60/0.80  Evaluation took:
% 0.60/0.80    0.346 seconds of real time
% 0.60/0.80    0.311917 seconds of user run time
% 0.60/0.80    0.027144 seconds of system run time
% 0.60/0.80    [Run times include 0.018 seconds GC run time.]
% 0.60/0.80    0 calls to %EVAL
% 0.60/0.80    0 page faults and
% 0.60/0.80    20,199,520 bytes consed.
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:13:05
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  * 
%------------------------------------------------------------------------------