TSTP Solution File: SWV481+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV481+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 21:34:31 EDT 2022

% Result   : Theorem 9.57s 9.76s
% Output   : Refutation 9.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   28
% Syntax   : Number of clauses     :   58 (  41 unt;   4 nHn;  50 RR)
%            Number of literals    :   93 (  36 equ;  39 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    :   22 (  22 usr;  16 con; 0-2 aty)
%            Number of variables   :   31 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    leq(s(zero),host(X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).

cnf(6,axiom,
    leq(host(X),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

cnf(9,axiom,
    elec_1 != norm,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_07) ).

cnf(54,axiom,
    ( elem(X,cons(Y,Z))
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

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

cnf(84,axiom,
    leq(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).

cnf(86,axiom,
    ( ~ leq(X,Y)
    | ~ leq(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

cnf(89,axiom,
    ( ~ leq(X,Y)
    | leq(s(X),s(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_63) ).

cnf(90,axiom,
    ( leq(X,Y)
    | ~ leq(s(X),s(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_63) ).

cnf(91,axiom,
    ( ~ leq(X,s(Y))
    | X = s(Y)
    | leq(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).

cnf(100,negated_conjecture,
    ( ~ setIn(X,alive)
    | index(status,host(X)) != norm
    | index(ldr,host(X)) != host(X)
    | ~ setIn(Y,alive)
    | ~ setIn(host(X),index(down,host(Y))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(102,negated_conjecture,
    ( ~ setIn(X,alive)
    | host(X) != host(Y)
    | index(status,host(X)) != norm
    | index(ldr,host(X)) != host(X)
    | ~ setIn(Z,alive)
    | ~ elem(m_Down(Y),queue(host(Z))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(114,negated_conjecture,
    queue(host('SKOLEMAAAV6')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(119,negated_conjecture,
    ( ~ leq(host('SKOLEMAAAV6'),'SKOLEMAAAV10')
    | index(status,host('SKOLEMAAAV6')) != elec_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(120,negated_conjecture,
    ( leq(s(zero),'SKOLEMAAAV10')
    | index(status,host('SKOLEMAAAV6')) != elec_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(121,negated_conjecture,
    ( ~ setIn('SKOLEMAAAV10',index(down,host('SKOLEMAAAV6')))
    | index(status,host('SKOLEMAAAV6')) != elec_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(122,negated_conjecture,
    ( 'SKOLEMAAAV10' != host('SKOLEMAAAV7')
    | index(status,host('SKOLEMAAAV6')) != elec_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(123,negated_conjecture,
    host('SKOLEMAAAV6') = host('SKOLEMAAAV14'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(124,negated_conjecture,
    ( leq(host('SKOLEMAAAV14'),X)
    | ~ leq(s(zero),X)
    | setIn(X,index(down,host('SKOLEMAAAV6')))
    | X = host('SKOLEMAAAV7')
    | X = host('SKOLEMAAAV13') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(125,plain,
    ( leq(host('SKOLEMAAAV14'),X)
    | ~ leq(s(zero),X)
    | setIn(X,index(down,host('SKOLEMAAAV14')))
    | X = host('SKOLEMAAAV7')
    | X = host('SKOLEMAAAV13') ),
    inference('REWRITE',[status(thm)],[124,123,theory(equality)]) ).

cnf(126,negated_conjecture,
    setIn('SKOLEMAAAV14',alive),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(127,negated_conjecture,
    elem(m_Down('SKOLEMAAAV12'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(128,negated_conjecture,
    elem(m_Down('SKOLEMAAAV13'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(129,negated_conjecture,
    leq(nbr_proc,s(host('SKOLEMAAAV14'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(130,negated_conjecture,
    host('SKOLEMAAAV12') = s(host('SKOLEMAAAV14')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(131,negated_conjecture,
    index(status,host('SKOLEMAAAV14')) = elec_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(132,negated_conjecture,
    setIn('SKOLEMAAAV11',alive),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(133,negated_conjecture,
    index(ldr,host('SKOLEMAAAV11')) = host('SKOLEMAAAV11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(134,negated_conjecture,
    index(status,host('SKOLEMAAAV11')) = norm,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(135,plain,
    leq(nbr_proc,host('SKOLEMAAAV12')),
    inference('REWRITE',[status(thm)],[129,130,theory(equality)]) ).

cnf(136,plain,
    queue(host('SKOLEMAAAV14')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[114,123,theory(equality)]) ).

cnf(138,plain,
    ~ leq(host('SKOLEMAAAV14'),'SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[119,131,123,theory(equality)]) ).

cnf(139,plain,
    leq(s(zero),'SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[120,131,123,theory(equality)]) ).

cnf(140,plain,
    ~ setIn('SKOLEMAAAV10',index(down,host('SKOLEMAAAV14'))),
    inference('REWRITE',[status(thm)],[121,131,123,theory(equality)]) ).

cnf(141,plain,
    'SKOLEMAAAV10' != host('SKOLEMAAAV7'),
    inference('REWRITE',[status(thm)],[122,131,123,theory(equality)]) ).

cnf(280,plain,
    elem(X,cons(X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[54,theory(equality)]) ).

cnf(281,plain,
    elem(m_Down('SKOLEMAAAV12'),cons(X,'SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[55,127]) ).

cnf(282,plain,
    elem(m_Down('SKOLEMAAAV13'),cons(X,'SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[55,128]) ).

cnf(296,plain,
    ( leq(X,host('SKOLEMAAAV14'))
    | ~ leq(s(X),host('SKOLEMAAAV12')) ),
    inference('PARAMODULATE',[status(thm)],[90,130,theory(equality)]) ).

cnf(304,plain,
    host('SKOLEMAAAV12') = nbr_proc,
    inference('HYPERRESOLVE',[status(thm)],[86,6,135]) ).

cnf(305,plain,
    nbr_proc = s(host('SKOLEMAAAV14')),
    inference('REWRITE',[status(thm)],[130,304,theory(equality)]) ).

cnf(310,plain,
    ( leq(X,host('SKOLEMAAAV14'))
    | ~ leq(s(X),nbr_proc) ),
    inference('REWRITE',[status(thm)],[296,304,theory(equality)]) ).

cnf(505,plain,
    'SKOLEMAAAV10' = host('SKOLEMAAAV13'),
    inference('UR-RESOLVE',[status(thm)],[125,138,139,140,141]) ).

cnf(506,plain,
    ( leq(host('SKOLEMAAAV14'),X)
    | ~ leq(s(zero),X)
    | setIn(X,index(down,host('SKOLEMAAAV14')))
    | X = host('SKOLEMAAAV7')
    | X = 'SKOLEMAAAV10' ),
    inference('REWRITE',[status(thm)],[125,505,theory(equality)]) ).

cnf(510,plain,
    ~ setIn(host('SKOLEMAAAV11'),index(down,host('SKOLEMAAAV14'))),
    inference('UR-RESOLVE',[status(thm)],[100,132,134,133,126]) ).

cnf(1013,plain,
    elem(m_Down('SKOLEMAAAV7'),queue(host('SKOLEMAAAV14'))),
    inference('PARAMODULATE',[status(thm)],[280,136,theory(equality)]) ).

cnf(1131,plain,
    elem(m_Down('SKOLEMAAAV12'),queue(host('SKOLEMAAAV14'))),
    inference('PARAMODULATE',[status(thm)],[281,136,theory(equality)]) ).

cnf(1134,plain,
    elem(m_Down('SKOLEMAAAV13'),queue(host('SKOLEMAAAV14'))),
    inference('PARAMODULATE',[status(thm)],[282,136,theory(equality)]) ).

cnf(5947,plain,
    host('SKOLEMAAAV11') != host('SKOLEMAAAV7'),
    inference('UR-RESOLVE',[status(thm)],[102,1013,132,134,133,126]) ).

cnf(6023,plain,
    host('SKOLEMAAAV11') != nbr_proc,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[102,1131,132,134,133,126]),304,theory(equality)]) ).

cnf(6025,plain,
    ~ leq(nbr_proc,host('SKOLEMAAAV11')),
    inference('UR-RESOLVE',[status(thm)],[86,6023,6]) ).

cnf(6048,plain,
    host('SKOLEMAAAV11') != 'SKOLEMAAAV10',
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[102,1134,132,134,133,126]),505,theory(equality)]) ).

cnf(6050,plain,
    leq(host('SKOLEMAAAV14'),host('SKOLEMAAAV11')),
    inference('UR-RESOLVE',[status(thm)],[506,6048,4,510,5947]) ).

cnf(6141,plain,
    leq(nbr_proc,s(host('SKOLEMAAAV11'))),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[89,6050]),305,theory(equality)]) ).

cnf(18334,plain,
    nbr_proc = s(host('SKOLEMAAAV11')),
    inference('UR-RESOLVE',[status(thm)],[91,6141,6025]) ).

cnf(41360,plain,
    leq(host('SKOLEMAAAV11'),host('SKOLEMAAAV14')),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[310,18334,theory(equality)]),84]) ).

cnf(41373,plain,
    host('SKOLEMAAAV11') = host('SKOLEMAAAV14'),
    inference('HYPERRESOLVE',[status(thm)],[86,41360,6050]) ).

cnf(41374,plain,
    $false,
    inference('REWRITE',[status(thm)],[131,9,134,41373,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV481+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n026.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 23:22:07 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T23:22:08
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-15T23:22:08
% 9.57/9.76  
% 9.57/9.76  
% 9.57/9.76  #||
% 9.57/9.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.57/9.76  % SZS output start Refutation
% See solution above
% 9.57/9.76  ||#
% 9.57/9.76  
% 9.57/9.76  ; Summary of computation:
% 9.57/9.76  ;     78949 formulas have been input or derived (from 1530 formulas).
% 9.57/9.76  ;     41374 (52%) were retained.  Of these,
% 9.57/9.76  ;         2251 ( 5%) were simplified or subsumed later,
% 9.57/9.76  ;        39123 (95%) are still being kept.
% 9.57/9.76  ; 
% 9.57/9.76  ; Run time in seconds excluding printing time:
% 9.57/9.76  ;     0.021   0%   Read assertion file          (1 call)
% 9.57/9.76  ;     0.007   0%   Assert                       (67 calls)
% 9.57/9.76  ;     3.297  36%   Process new row              (69,257 calls)
% 9.57/9.76  ;     2.016  22%   Resolution                   (3,058 calls)
% 9.57/9.76  ;     0.118   1%   Paramodulation               (1,529 calls)
% 9.57/9.76  ;     0.000   0%   Factoring                    (46 calls)
% 9.57/9.76  ;     0.151   2%   Condensing                   (4,530 calls)
% 9.57/9.76  ;     0.195   2%   Forward subsumption          (4,530 calls)
% 9.57/9.76  ;     0.023   0%   Backward subsumption         (960 calls)
% 9.57/9.76  ;     0.280   3%   Clause clause subsumption    (21,050 calls)
% 9.57/9.76  ;     1.743  19%   Forward simplification       (69,013 calls)
% 9.57/9.76  ;     1.074  12%   Backward simplification      (41,373 calls)
% 9.57/9.76  ;     0.041   0%   Ordering                     (18,961 calls)
% 9.57/9.76  ;     0.000   0%   Sortal reasoning             (32 calls)
% 9.57/9.76  ;     0.000   0%   Purity testing               (1 call)
% 9.57/9.76  ;     0.273   3%   Other
% 9.57/9.76  ;     9.239        Total
% 9.57/9.76  ;     9.243        Real time
% 9.57/9.76  ; 
% 9.57/9.76  ; Term-hash-array has 68,375 terms in all.
% 9.57/9.76  ; Feature-vector-row-index has 847 entries (937 at peak, 960 added, 113 deleted).
% 9.57/9.76  ; Feature-vector-row-index has 4,209 nodes (4,857 at peak, 5,125 added, 916 deleted).
% 9.57/9.76  ;  Retrieved 47,340 possibly forward subsuming rows in 4,530 calls.
% 9.57/9.76  ;  Retrieved 462 possibly backward subsumed rows in 960 calls.
% 9.57/9.76  ; Path-index has 65,221 entries (68,298 at peak, 68,417 added, 3,196 deleted).
% 9.57/9.76  ; Path-index has 27,109 nodes (27,620 at peak, 27,685 added, 576 deleted).
% 9.57/9.76  ; Trie-index has 65,221 entries (68,298 at peak, 68,417 added, 3,196 deleted).
% 9.57/9.76  ; Trie-index has 214,133 nodes (223,352 at peak, 223,602 added, 9,469 deleted).
% 9.57/9.76  ; Retrieved 167,681 generalization terms in 341,422 calls.
% 9.57/9.76  ; Retrieved 40,624 instance terms in 40,412 calls.
% 9.57/9.76  ; Retrieved 2,345,885 unifiable terms in 58,615 calls.
% 9.57/9.76  ; 
% 9.57/9.76  ; The agenda of backward simplifiable rows to process has 2169 entries:
% 9.57/9.76  ;  2169 with value 0
% 9.57/9.76  ; The agenda of rows to process has 97 entries:
% 9.57/9.76  ;    17 with value 15              7 with value 20               3 with value 23
% 9.57/9.76  ;     9 with value 17             17 with value 21              14 with value 24
% 9.57/9.76  ;     4 with value 18              8 with value 22              10 with value 27
% 9.57/9.76  ;     8 with value 19
% 9.57/9.76  ; The agenda of rows to give has 37702 entries:
% 9.57/9.76  ;   690 with value (4 15)         31 with value (4 30)           2 with value (4 45)
% 9.57/9.76  ;  2454 with value (4 16)         23 with value (4 31)           4 with value (4 46)
% 9.57/9.76  ;  1403 with value (4 17)          1 with value (4 32)           2 with value (4 47)
% 9.57/9.76  ;  4243 with value (4 18)          9 with value (4 33)           4 with value (4 48)
% 9.57/9.76  ;  3397 with value (4 19)          5 with value (4 34)           2 with value (4 49)
% 9.57/9.76  ;  5189 with value (4 20)         12 with value (4 35)           1 with value (4 52)
% 9.57/9.76  ;  4918 with value (4 21)         13 with value (4 36)           2 with value (4 53)
% 9.57/9.76  ;  6526 with value (4 22)          7 with value (4 37)           1 with value (4 54)
% 9.57/9.76  ;  3953 with value (4 23)         27 with value (4 38)           3 with value (4 57)
% 9.57/9.76  ;  1134 with value (4 24)         13 with value (4 39)           1 with value (4 58)
% 9.57/9.76  ;  1229 with value (4 25)         18 with value (4 40)           2 with value (4 59)
% 9.57/9.76  ;  1195 with value (4 26)          3 with value (4 41)           8 with value (4 60)
% 9.57/9.76  ;   436 with value (4 27)          4 with value (4 42)           2 with value (4 63)
% 9.57/9.76  ;   379 with value (4 28)          4 with value (4 43)           8 with value (4 64)
% 9.57/9.76  ;   338 with value (4 29)          4 with value (4 44)           2 with value (4 67)
% 9.57/9.76  Evaluation took:
% 9.57/9.76    9.246 seconds of real time
% 9.57/9.76    8.519153 seconds of user run time
% 9.57/9.76    0.726902 seconds of system run time
% 9.57/9.76    [Run times include 2.475 seconds GC run time.]
% 9.57/9.76    0 calls to %EVAL
% 9.57/9.76    0 page faults and
% 9.57/9.76    597,525,000 bytes consed.
% 9.57/9.76  :PROOF-FOUND
% 9.57/9.76  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T23:22:17
% 9.57/9.76  :PROOF-FOUND
% 9.57/9.76  * 
%------------------------------------------------------------------------------