TSTP Solution File: SWV199+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV199+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 21:32:07 EDT 2022

% Result   : Theorem 61.19s 61.43s
% Output   : Refutation 61.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   24 (  13 unt;   3 nHn;  24 RR)
%            Number of literals    :   41 (  26 equ;  20 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ leq(X,Y)
    | ~ leq(Y,Z)
    | leq(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

cnf(283,negated_conjecture,
    leq(n0,pv5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(284,negated_conjecture,
    leq(pv5,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(288,negated_conjecture,
    leq(n0,'SKOLEMAAAV28'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(289,negated_conjecture,
    leq(n0,'SKOLEMAAAV29'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(290,negated_conjecture,
    leq('SKOLEMAAAV28',n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(291,negated_conjecture,
    leq('SKOLEMAAAV29',pv5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(292,negated_conjecture,
    ( n0 != 'SKOLEMAAAV28'
    | pv5 != 'SKOLEMAAAV29' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(293,negated_conjecture,
    ( n1 != 'SKOLEMAAAV28'
    | pv5 != 'SKOLEMAAAV29' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(294,negated_conjecture,
    ( n2 != 'SKOLEMAAAV28'
    | pv5 != 'SKOLEMAAAV29' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

cnf(326,axiom,
    ( ~ leq(n0,X)
    | ~ leq(X,n0)
    | X = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

cnf(328,axiom,
    ( ~ leq(n0,X)
    | ~ leq(X,n2)
    | X = n0
    | X = n1
    | X = n2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).

cnf(584,plain,
    leq('SKOLEMAAAV29',n0),
    inference('HYPERRESOLVE',[status(thm)],[5,291,284]) ).

cnf(595,plain,
    n0 = pv5,
    inference('HYPERRESOLVE',[status(thm)],[326,283,284]) ).

cnf(598,plain,
    ( n0 != 'SKOLEMAAAV28'
    | n0 != 'SKOLEMAAAV29' ),
    inference('REWRITE',[status(thm)],[292,595,theory(equality)]) ).

cnf(599,plain,
    ( n1 != 'SKOLEMAAAV28'
    | n0 != 'SKOLEMAAAV29' ),
    inference('REWRITE',[status(thm)],[293,595,theory(equality)]) ).

cnf(600,plain,
    ( n2 != 'SKOLEMAAAV28'
    | n0 != 'SKOLEMAAAV29' ),
    inference('REWRITE',[status(thm)],[294,595,theory(equality)]) ).

cnf(609,plain,
    ( n0 = 'SKOLEMAAAV28'
    | n1 = 'SKOLEMAAAV28'
    | n2 = 'SKOLEMAAAV28' ),
    inference('HYPERRESOLVE',[status(thm)],[328,288,290]) ).

cnf(31332,plain,
    n0 = 'SKOLEMAAAV29',
    inference('HYPERRESOLVE',[status(thm)],[326,584,289]) ).

cnf(31334,plain,
    n0 != 'SKOLEMAAAV28',
    inference('REWRITE',[status(thm)],[598,31332,theory(equality)]) ).

cnf(31336,plain,
    ( n1 = 'SKOLEMAAAV28'
    | n2 = 'SKOLEMAAAV28' ),
    inference('REWRITE',[status(thm)],[609,31334]) ).

cnf(31337,plain,
    n1 != 'SKOLEMAAAV28',
    inference('REWRITE',[status(thm)],[599,31332,theory(equality)]) ).

cnf(31338,plain,
    n2 = 'SKOLEMAAAV28',
    inference('REWRITE',[status(thm)],[31336,31337]) ).

cnf(31342,plain,
    $false,
    inference('REWRITE',[status(thm)],[600,31338,31332,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV199+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.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 : Wed Jun 15 16:14:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 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  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T16:14:20
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-15T16:14:20
% 0.20/0.52  WARNING:
% 0.20/0.52     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 61.19/61.43  
% 61.19/61.43  
% 61.19/61.43  #||
% 61.19/61.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.19/61.43  % SZS output start Refutation
% See solution above
% 61.19/61.43  ||#
% 61.19/61.43  
% 61.19/61.43  ; Summary of computation:
% 61.19/61.43  ;     94078 formulas have been input or derived (from 429 formulas).
% 61.19/61.43  ;     31342 (33%) were retained.  Of these,
% 61.19/61.43  ;         7318 (23%) were simplified or subsumed later,
% 61.19/61.43  ;        24024 (77%) are still being kept.
% 61.19/61.43  ; 
% 61.19/61.43  ; Run time in seconds excluding printing time:
% 61.19/61.43  ;     0.024   0%   Read assertion file          (1 call)
% 61.19/61.43  ;     0.013   0%   Assert                       (92 calls)
% 61.19/61.43  ;     2.853   5%   Process new row              (83,071 calls)
% 61.19/61.43  ;    47.281  78%   Resolution                   (856 calls)
% 61.19/61.43  ;     0.068   0%   Paramodulation               (428 calls)
% 61.19/61.43  ;     0.000   0%   Factoring                    (1 call)
% 61.19/61.43  ;     0.380   1%   Condensing                   (27,132 calls)
% 61.19/61.43  ;     4.880   8%   Forward subsumption          (27,132 calls)
% 61.19/61.43  ;     0.858   1%   Backward subsumption         (13,352 calls)
% 61.27/61.44  ;     0.156   0%   Clause clause subsumption    (30,224 calls)
% 61.27/61.44  ;     1.848   3%   Forward simplification       (83,069 calls)
% 61.27/61.44  ;     2.167   4%   Backward simplification      (31,338 calls)
% 61.27/61.44  ;     0.123   0%   Ordering                     (113,361 calls)
% 61.27/61.44  ;     0.000   0%   Sortal reasoning             (32 calls)
% 61.27/61.44  ;     0.002   0%   Purity testing               (1 call)
% 61.27/61.44  ;     0.302   0%   Other
% 61.27/61.44  ;    60.955        Total
% 61.27/61.44  ;    60.967        Real time
% 61.27/61.44  ; 
% 61.27/61.45  ; Term-hash-array has 41,952 terms in all.
% 61.27/61.45  ; Feature-vector-row-index has 10,792 entries (13,342 at peak, 13,352 added, 2,560 deleted).
% 61.27/61.45  ; Feature-vector-row-index has 45,796 nodes (49,039 at peak, 49,081 added, 3,285 deleted).
% 61.27/61.45  ;  Retrieved 55,711 possibly forward subsuming rows in 27,132 calls.
% 61.27/61.45  ;  Retrieved 14,564 possibly backward subsumed rows in 13,352 calls.
% 61.27/61.45  ; Path-index has 30,681 entries (41,929 at peak, 41,980 added, 11,299 deleted).
% 61.27/61.45  ; Path-index has 2,495 nodes (2,762 at peak, 2,787 added, 292 deleted).
% 61.27/61.45  ; Trie-index has 30,681 entries (41,929 at peak, 41,980 added, 11,299 deleted).
% 61.27/61.45  ; Trie-index has 61,342 nodes (86,157 at peak, 86,241 added, 24,899 deleted).
% 61.27/61.45  ; Retrieved 164,580 generalization terms in 286,277 calls.
% 61.27/61.45  ; Retrieved 35,903 instance terms in 17,985 calls.
% 61.27/61.45  ; Retrieved 83,660,262 unifiable terms in 264,466 calls.
% 61.27/61.45  ; 
% 61.27/61.45  ; The agenda of backward simplifiable rows to process has 1150 entries:
% 61.27/61.45  ;  1150 with value 0
% 61.27/61.45  ; The agenda of rows to process has 7107 entries:
% 61.27/61.45  ;    13 with value 6            6292 with value 19              44 with value 29
% 61.27/61.45  ;     4 with value 8               2 with value 21             128 with value 32
% 61.27/61.45  ;     1 with value 9              32 with value 23              32 with value 33
% 61.27/61.45  ;     1 with value 10            280 with value 24             256 with value 79
% 61.27/61.45  ;    22 with value 15
% 61.27/61.45  ; The agenda of input rows to give has 3 entries:
% 61.27/61.45  ;     2 with value 4               1 with value 8
% 61.27/61.45  ; The agenda of rows to give has 23612 entries:
% 61.27/61.45  ;     3 with value (4 5)         114 with value (4 15)        2941 with value (4 24)
% 61.27/61.45  ;    77 with value (4 6)          24 with value (4 16)           3 with value (4 26)
% 61.27/61.45  ;    34 with value (4 7)           4 with value (4 17)        1288 with value (4 29)
% 61.27/61.45  ;    46 with value (4 8)           5 with value (4 18)           1 with value (4 31)
% 61.27/61.45  ;    26 with value (4 9)       12768 with value (4 19)        1792 with value (4 32)
% 61.27/61.45  ;    13 with value (4 11)         25 with value (4 20)         308 with value (4 33)
% 61.27/61.45  ;    60 with value (4 13)         44 with value (4 21)        3584 with value (4 79)
% 61.27/61.45  ;     3 with value (4 14)        449 with value (4 23)
% 61.27/61.45  Evaluation took:
% 61.27/61.45    60.972 seconds of real time
% 61.27/61.45    59.98105 seconds of user run time
% 61.27/61.45    0.989724 seconds of system run time
% 61.27/61.45    [Run times include 3.153 seconds GC run time.]
% 61.27/61.45    0 calls to %EVAL
% 61.27/61.45    0 page faults and
% 61.27/61.45    2,153,808,384 bytes consed.
% 61.27/61.45  :PROOF-FOUND
% 61.27/61.45  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T16:15:21
% 61.27/61.45  :PROOF-FOUND
% 61.27/61.45  * 
%------------------------------------------------------------------------------