TSTP Solution File: SWV451+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV451+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   37 (  25 unt;   4 nHn;  35 RR)
%            Number of literals    :   59 (  31 equ;  22 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   21 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(19,axiom,
    m_Down(X) != m_Halt(Y),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_17) ).

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(56,axiom,
    ( ~ elem(X,snoc(Y,Z))
    | X = Z
    | elem(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

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('SKOLEMAAAV7')) = cons(m_NotNorm('SKOLEMAAAV6'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(102,negated_conjecture,
    setIn('SKOLEMAAAV7',alive),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(106,negated_conjecture,
    ( host('SKOLEMAAAV7') != host(X)
    | leq(X,'SKOLEMAAAV5') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(108,negated_conjecture,
    host('SKOLEMAAAV7') = host('SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(111,negated_conjecture,
    s(host('SKOLEMAAAV5')) = host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(114,negated_conjecture,
    s(host('SKOLEMAAAV5')) != host('SKOLEMAAAV10'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(115,plain,
    host('SKOLEMAAAV8') != host('SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[114,111,theory(equality)]) ).

cnf(116,negated_conjecture,
    host('SKOLEMAAAV7') = host('SKOLEMAAAV10'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(117,plain,
    host('SKOLEMAAAV5') = host('SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[116,108,theory(equality)]) ).

cnf(119,negated_conjecture,
    ( setIn('SKOLEMAAAV8',alive)
    | 'SKOLEMAAAV8' = 'SKOLEMAAAV5' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(120,negated_conjecture,
    ( 'SKOLEMAAAV10' != 'SKOLEMAAAV7'
    | 'SKOLEMAAAV10' = 'SKOLEMAAAV5' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(121,negated_conjecture,
    ( setIn('SKOLEMAAAV10',alive)
    | 'SKOLEMAAAV10' = 'SKOLEMAAAV5' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(122,negated_conjecture,
    host('SKOLEMAAAV9') = host('SKOLEMAAAV8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(123,negated_conjecture,
    host('SKOLEMAAAV11') = host('SKOLEMAAAV10'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(124,negated_conjecture,
    elem(m_Down('SKOLEMAAAV9'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(125,negated_conjecture,
    elem(m_Down('SKOLEMAAAV11'),snoc(queue(host('SKOLEMAAAV8')),m_Halt('SKOLEMAAAV5'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

cnf(126,plain,
    host('SKOLEMAAAV7') = host('SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[108,117,theory(equality)]) ).

cnf(131,plain,
    queue(host('SKOLEMAAAV10')) = cons(m_NotNorm('SKOLEMAAAV6'),'SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[101,117,108,theory(equality)]) ).

cnf(135,plain,
    ( host('SKOLEMAAAV10') != host(X)
    | leq(X,'SKOLEMAAAV5') ),
    inference('REWRITE',[status(thm)],[106,117,108,theory(equality)]) ).

cnf(269,plain,
    'SKOLEMAAAV8' != 'SKOLEMAAAV10',
    inference('UR-RESOLVE',[status(thm)],[40,115]) ).

cnf(271,plain,
    elem(m_Down('SKOLEMAAAV9'),cons(X,'SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[55,124]) ).

cnf(289,plain,
    leq('SKOLEMAAAV7','SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[135,126]) ).

cnf(445,plain,
    elem(m_Down('SKOLEMAAAV11'),queue(host('SKOLEMAAAV8'))),
    inference('UR-RESOLVE',[status(thm)],[56,125,19]) ).

cnf(501,plain,
    ( 'SKOLEMAAAV10' = 'SKOLEMAAAV5'
    | 'SKOLEMAAAV10' = 'SKOLEMAAAV7' ),
    inference('HYPERRESOLVE',[status(thm)],[99,126,121,102]) ).

cnf(973,plain,
    elem(m_Down('SKOLEMAAAV9'),queue(host('SKOLEMAAAV10'))),
    inference('PARAMODULATE',[status(thm)],[271,131,theory(equality)]) ).

cnf(990,plain,
    'SKOLEMAAAV10' = 'SKOLEMAAAV5',
    inference('HYPERRESOLVE',[status(thm)],[120,501]) ).

cnf(993,plain,
    setIn('SKOLEMAAAV8',alive),
    inference('REWRITE',[status(thm)],[119,269,990,theory(equality)]) ).

cnf(997,plain,
    leq('SKOLEMAAAV7','SKOLEMAAAV10'),
    inference('REWRITE',[status(thm)],[289,990,theory(equality)]) ).

cnf(1036,plain,
    setIn('SKOLEMAAAV10',alive),
    inference('HYPERRESOLVE',[status(thm)],[98,997,126,102]) ).

cnf(1258,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[100,445,115,993,1036,122,123]),973]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV451+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 18:28:03 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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 2022-06-15T18:28:03
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-15T18:28:03
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  #||
% 0.60/0.79  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.79  % SZS output start Refutation
% See solution above
% 0.60/0.79  ||#
% 0.60/0.79  
% 0.60/0.79  ; Summary of computation:
% 0.60/0.79  ;      4162 formulas have been input or derived (from 246 formulas).
% 0.60/0.79  ;      1258 (30%) were retained.  Of these,
% 0.60/0.79  ;          126 (10%) were simplified or subsumed later,
% 0.60/0.79  ;         1132 (90%) are still being kept.
% 0.60/0.79  ; 
% 0.60/0.79  ; Run time in seconds excluding printing time:
% 0.60/0.79  ;     0.015   5%   Read assertion file          (1 call)
% 0.60/0.79  ;     0.003   1%   Assert                       (67 calls)
% 0.60/0.79  ;     0.064  20%   Process new row              (3,037 calls)
% 0.60/0.79  ;     0.100  31%   Resolution                   (490 calls)
% 0.60/0.79  ;     0.008   2%   Paramodulation               (245 calls)
% 0.60/0.79  ;     0.000   0%   Factoring                    (8 calls)
% 0.60/0.79  ;     0.002   1%   Condensing                   (352 calls)
% 0.60/0.79  ;     0.011   3%   Forward subsumption          (352 calls)
% 0.60/0.79  ;     0.001   0%   Backward subsumption         (220 calls)
% 0.60/0.79  ;     0.006   2%   Clause clause subsumption    (325 calls)
% 0.60/0.79  ;     0.051  16%   Forward simplification       (2,993 calls)
% 0.60/0.79  ;     0.015   5%   Backward simplification      (1,255 calls)
% 0.60/0.79  ;     0.002   1%   Ordering                     (1,096 calls)
% 0.60/0.79  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.60/0.79  ;     0.000   0%   Purity testing               (1 call)
% 0.60/0.79  ;     0.046  14%   Other
% 0.60/0.79  ;     0.325        Total
% 0.60/0.79  ;     0.328        Real time
% 0.60/0.79  ; 
% 0.60/0.80  ; Term-hash-array has 2,254 terms in all.
% 0.60/0.80  ; Feature-vector-row-index has 177 entries (199 at peak, 220 added, 43 deleted).
% 0.60/0.80  ; Feature-vector-row-index has 908 nodes (990 at peak, 1,095 added, 187 deleted).
% 0.60/0.80  ;  Retrieved 502 possibly forward subsuming rows in 352 calls.
% 0.60/0.80  ;  Retrieved 30 possibly backward subsumed rows in 220 calls.
% 0.60/0.80  ; Path-index has 2,139 entries (2,140 at peak, 2,295 added, 156 deleted).
% 0.60/0.80  ; Path-index has 2,721 nodes (2,721 at peak, 2,836 added, 115 deleted).
% 0.60/0.80  ; Trie-index has 2,139 entries (2,140 at peak, 2,295 added, 156 deleted).
% 0.60/0.80  ; Trie-index has 5,023 nodes (5,025 at peak, 5,318 added, 295 deleted).
% 0.60/0.80  ; Retrieved 3,547 generalization terms in 8,618 calls.
% 0.60/0.80  ; Retrieved 1,077 instance terms in 1,034 calls.
% 0.60/0.80  ; Retrieved 90,603 unifiable terms in 6,126 calls.
% 0.60/0.80  ; 
% 0.60/0.80  ; The agenda of rows to process has 6 entries:
% 0.60/0.80  ;     2 with value 12              4 with value 14
% 0.60/0.80  ; The agenda of rows to give has 911 entries:
% 0.60/0.80  ;     1 with value (4 6)          34 with value (4 16)           6 with value (4 23)
% 0.60/0.80  ;    16 with value (4 10)         13 with value (4 17)           6 with value (4 26)
% 0.60/0.80  ;   126 with value (4 11)         24 with value (4 18)           8 with value (4 31)
% 0.60/0.80  ;   306 with value (4 12)         11 with value (4 19)           1 with value (4 40)
% 0.60/0.80  ;   131 with value (4 13)          5 with value (4 20)           2 with value (4 43)
% 0.60/0.80  ;   179 with value (4 14)          2 with value (4 21)           1 with value (4 44)
% 0.60/0.80  ;    33 with value (4 15)          3 with value (4 22)           3 with value (4 48)
% 0.60/0.80  Evaluation took:
% 0.60/0.80    0.329 seconds of real time
% 0.60/0.80    0.301331 seconds of user run time
% 0.60/0.80    0.027024 seconds of system run time
% 0.60/0.80    [Run times include 0.011 seconds GC run time.]
% 0.60/0.80    0 calls to %EVAL
% 0.60/0.80    0 page faults and
% 0.60/0.80    22,494,352 bytes consed.
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T18:28:03
% 0.60/0.80  :PROOF-FOUND
% 0.60/0.80  * 
%------------------------------------------------------------------------------