TSTP Solution File: SWV468+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV468+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 21:34:29 EDT 2022

% Result   : Theorem 0.78s 0.93s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   32 (  24 unt;   3 nHn;  28 RR)
%            Number of literals    :   55 (  18 equ;  25 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :   21 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    leq(s(zero),host(X)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).

cnf(6,axiom,
    leq(host(X),nbr_proc),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

cnf(54,axiom,
    ( elem(X,cons(Y,Z))
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

cnf(86,axiom,
    ( ~ leq(X,Y)
    | ~ leq(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

cnf(88,axiom,
    ( ~ leq(X,Y)
    | ~ leq(Y,Z)
    | leq(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_62) ).

cnf(99,negated_conjecture,
    ( ~ setIn(X,alive)
    | ~ setIn(Y,alive)
    | ~ setIn(host(Y),index(down,host(X)))
    | index(status,host(Y)) != elec_2
    | leq(index(pendack,host(Y)),host(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(105,negated_conjecture,
    ( ~ setIn(X,alive)
    | ~ setIn(Y,alive)
    | ~ elem(m_Down(Z),queue(host(X)))
    | host(Y) != host(Z)
    | index(status,host(Y)) != elec_2
    | leq(index(pendack,host(Y)),host(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(113,negated_conjecture,
    queue(host('SKOLEMAAAV6')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(118,negated_conjecture,
    ( leq(host('SKOLEMAAAV6'),X)
    | ~ leq(s(zero),X)
    | setIn(X,index(down,host('SKOLEMAAAV6')))
    | X = host('SKOLEMAAAV7') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(120,negated_conjecture,
    leq(nbr_proc,host('SKOLEMAAAV6')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(121,negated_conjecture,
    host('SKOLEMAAAV6') = host('SKOLEMAAAV10'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(122,negated_conjecture,
    host('SKOLEMAAAV6') != host('SKOLEMAAAV11'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(123,plain,
    host('SKOLEMAAAV10') != host('SKOLEMAAAV11'),
    inference('REWRITE',[status(thm)],[122,121,theory(equality)]) ).

cnf(124,negated_conjecture,
    ~ leq(index(pendack,host('SKOLEMAAAV11')),host('SKOLEMAAAV10')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(125,negated_conjecture,
    setIn('SKOLEMAAAV11',alive),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(126,negated_conjecture,
    index(status,host('SKOLEMAAAV11')) = elec_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(127,negated_conjecture,
    setIn('SKOLEMAAAV10',alive),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(128,plain,
    queue(host('SKOLEMAAAV10')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[113,121,theory(equality)]) ).

cnf(130,plain,
    ( leq(host('SKOLEMAAAV10'),X)
    | ~ leq(s(zero),X)
    | setIn(X,index(down,host('SKOLEMAAAV10')))
    | X = host('SKOLEMAAAV7') ),
    inference('REWRITE',[status(thm)],[118,121,theory(equality)]) ).

cnf(132,plain,
    leq(nbr_proc,host('SKOLEMAAAV10')),
    inference('REWRITE',[status(thm)],[120,121,theory(equality)]) ).

cnf(270,plain,
    elem(X,cons(X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[54,theory(equality)]) ).

cnf(287,plain,
    host('SKOLEMAAAV10') = nbr_proc,
    inference('HYPERRESOLVE',[status(thm)],[86,6,132]) ).

cnf(289,plain,
    nbr_proc != host('SKOLEMAAAV11'),
    inference('REWRITE',[status(thm)],[123,287,theory(equality)]) ).

cnf(290,plain,
    ~ leq(index(pendack,host('SKOLEMAAAV11')),nbr_proc),
    inference('REWRITE',[status(thm)],[124,287,theory(equality)]) ).

cnf(291,plain,
    queue(nbr_proc) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[128,287,theory(equality)]) ).

cnf(293,plain,
    ( leq(nbr_proc,X)
    | ~ leq(s(zero),X)
    | setIn(X,index(down,nbr_proc))
    | X = host('SKOLEMAAAV7') ),
    inference('REWRITE',[status(thm)],[130,287,theory(equality)]) ).

cnf(309,plain,
    ~ leq(nbr_proc,host('SKOLEMAAAV11')),
    inference('UR-RESOLVE',[status(thm)],[86,289,6]) ).

cnf(319,plain,
    ~ leq(index(pendack,host('SKOLEMAAAV11')),host(X)),
    inference('UR-RESOLVE',[status(thm)],[88,6,290]) ).

cnf(886,plain,
    elem(m_Down('SKOLEMAAAV7'),queue(nbr_proc)),
    inference('PARAMODULATE',[status(thm)],[270,291,theory(equality)]) ).

cnf(2134,plain,
    ~ setIn(host('SKOLEMAAAV11'),index(down,nbr_proc)),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[99,319,127,125,126]),287,theory(equality)]) ).

cnf(2156,plain,
    host('SKOLEMAAAV11') = host('SKOLEMAAAV7'),
    inference('UR-RESOLVE',[status(thm)],[293,2134,309,4]) ).

cnf(2169,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[105,2156,127,125,126,319]),886,287,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV468+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 15 16:23:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T16:23:04
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-15T16:23:04
% 0.78/0.93  
% 0.78/0.93  
% 0.78/0.93  #||
% 0.78/0.93  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.93  % SZS output start Refutation
% See solution above
% 0.78/0.94  ||#
% 0.78/0.94  
% 0.78/0.94  ; Summary of computation:
% 0.78/0.94  ;      6032 formulas have been input or derived (from 331 formulas).
% 0.78/0.94  ;      2169 (36%) were retained.  Of these,
% 0.78/0.94  ;           97 ( 4%) were simplified or subsumed later,
% 0.78/0.94  ;         2072 (96%) are still being kept.
% 0.78/0.94  ; 
% 0.78/0.94  ; Run time in seconds excluding printing time:
% 0.78/0.94  ;     0.019   4%   Read assertion file          (1 call)
% 0.78/0.94  ;     0.006   1%   Assert                       (67 calls)
% 0.78/0.94  ;     0.145  31%   Process new row              (4,448 calls)
% 0.78/0.94  ;     0.166  36%   Resolution                   (660 calls)
% 0.78/0.94  ;     0.008   2%   Paramodulation               (330 calls)
% 0.78/0.94  ;     0.000   0%   Factoring                    (6 calls)
% 0.78/0.94  ;     0.009   2%   Condensing                   (391 calls)
% 0.78/0.94  ;     0.004   1%   Forward subsumption          (391 calls)
% 0.78/0.94  ;     0.006   1%   Backward subsumption         (250 calls)
% 0.78/0.94  ;     0.004   1%   Clause clause subsumption    (559 calls)
% 0.78/0.94  ;     0.047  10%   Forward simplification       (4,444 calls)
% 0.78/0.94  ;     0.015   3%   Backward simplification      (2,168 calls)
% 0.78/0.94  ;     0.002   0%   Ordering                     (1,300 calls)
% 0.78/0.94  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.78/0.94  ;     0.001   0%   Purity testing               (1 call)
% 0.78/0.94  ;     0.034   7%   Other
% 0.78/0.94  ;     0.467        Total
% 0.78/0.94  ;     0.470        Real time
% 0.78/0.94  ; 
% 0.78/0.94  ; Term-hash-array has 4,068 terms in all.
% 0.78/0.94  ; Feature-vector-row-index has 212 entries (212 at peak, 250 added, 38 deleted).
% 0.78/0.94  ; Feature-vector-row-index has 1,178 nodes (1,178 at peak, 1,654 added, 476 deleted).
% 0.78/0.94  ;  Retrieved 776 possibly forward subsuming rows in 391 calls.
% 0.78/0.94  ;  Retrieved 54 possibly backward subsumed rows in 250 calls.
% 0.78/0.94  ; Path-index has 3,942 entries (3,986 at peak, 4,132 added, 190 deleted).
% 0.78/0.94  ; Path-index has 5,521 nodes (5,552 at peak, 5,674 added, 153 deleted).
% 0.78/0.94  ; Trie-index has 3,942 entries (3,986 at peak, 4,132 added, 190 deleted).
% 0.78/0.94  ; Trie-index has 10,169 nodes (10,265 at peak, 10,585 added, 416 deleted).
% 0.78/0.94  ; Retrieved 5,425 generalization terms in 13,188 calls.
% 0.78/0.94  ; Retrieved 1,938 instance terms in 1,917 calls.
% 0.78/0.94  ; Retrieved 139,450 unifiable terms in 8,838 calls.
% 0.78/0.94  ; 
% 0.78/0.94  ; The agenda of rows to process has 57 entries:
% 0.78/0.94  ;     4 with value 13              2 with value 23               2 with value 41
% 0.78/0.94  ;    24 with value 14              2 with value 26               3 with value 44
% 0.78/0.94  ;     2 with value 18              2 with value 27               8 with value 47
% 0.78/0.94  ;     4 with value 20              2 with value 29               2 with value 49
% 0.78/0.94  ; The agenda of rows to give has 1759 entries:
% 0.78/0.94  ;    53 with value (4 11)         60 with value (4 19)           1 with value (4 28)
% 0.78/0.94  ;   322 with value (4 12)          8 with value (4 20)           3 with value (4 29)
% 0.78/0.94  ;   129 with value (4 13)         13 with value (4 21)          12 with value (4 31)
% 0.78/0.94  ;   311 with value (4 14)          7 with value (4 22)           1 with value (4 33)
% 0.78/0.94  ;   500 with value (4 15)          6 with value (4 23)           1 with value (4 36)
% 0.78/0.94  ;   106 with value (4 16)          2 with value (4 24)           1 with value (4 37)
% 0.78/0.94  ;   178 with value (4 17)          2 with value (4 25)           2 with value (4 40)
% 0.78/0.94  ;    35 with value (4 18)          2 with value (4 26)           4 with value (4 43)
% 0.78/0.94  Evaluation took:
% 0.78/0.94    0.471 seconds of real time
% 0.78/0.94    0.432444 seconds of user run time
% 0.78/0.94    0.037981 seconds of system run time
% 0.78/0.94    [Run times include 0.024 seconds GC run time.]
% 0.78/0.94    0 calls to %EVAL
% 0.78/0.94    0 page faults and
% 0.78/0.94    35,724,728 bytes consed.
% 0.78/0.94  :PROOF-FOUND
% 0.78/0.94  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T16:23:05
% 0.78/0.94  :PROOF-FOUND
% 0.78/0.94  * 
%------------------------------------------------------------------------------