TSTP Solution File: RNG108+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG108+4 : 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 : Mon Jul 18 20:40:49 EDT 2022

% Result   : Theorem 0.43s 0.60s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (  13 unt;   0 nHn;  20 RR)
%            Number of literals    :   32 (   8 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

cnf(2,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

cnf(14,axiom,
    ( ~ aElement0(X)
    | sdtasdt0(X,sz10) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).

cnf(20,axiom,
    ( ~ aElement0(X)
    | sdtasdt0(X,sz00) = sz00 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

cnf(88,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

cnf(89,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

cnf(134,hypothesis,
    ( aElementOf0(X,slsdtgt0(xa))
    | ~ aElement0(Y)
    | sdtasdt0(xa,Y) != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(137,hypothesis,
    ( aElementOf0(X,slsdtgt0(xb))
    | ~ aElement0(Y)
    | sdtasdt0(xb,Y) != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(158,negated_conjecture,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ aElementOf0(xa,slsdtgt0(xa))
    | ~ aElementOf0(sz00,slsdtgt0(xb))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(189,plain,
    sdtasdt0(xb,sz10) = xb,
    inference('HYPERRESOLVE',[status(thm)],[14,89]) ).

cnf(190,plain,
    sdtasdt0(xa,sz10) = xa,
    inference('HYPERRESOLVE',[status(thm)],[14,88]) ).

cnf(202,plain,
    sdtasdt0(xb,sz00) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[20,89]) ).

cnf(203,plain,
    sdtasdt0(xa,sz00) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[20,88]) ).

cnf(427,plain,
    aElementOf0(xa,slsdtgt0(xa)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[134,2,theory(equality)]),190,theory(equality)]) ).

cnf(435,plain,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ aElementOf0(sz00,slsdtgt0(xb))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    inference('REWRITE',[status(thm)],[158,427]) ).

cnf(436,plain,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[134,1,theory(equality)]),203,theory(equality)]) ).

cnf(440,plain,
    ( ~ aElementOf0(sz00,slsdtgt0(xb))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    inference('REWRITE',[status(thm)],[435,436]) ).

cnf(446,plain,
    aElementOf0(xb,slsdtgt0(xb)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[137,2,theory(equality)]),189,theory(equality)]) ).

cnf(448,plain,
    ~ aElementOf0(sz00,slsdtgt0(xb)),
    inference('REWRITE',[status(thm)],[440,446]) ).

cnf(449,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[137,1,theory(equality)]),448,202,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG108+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n020.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 : Mon May 30 07:47:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:47:24
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-30T07:47:24
% 0.19/0.50  WARNING:
% 0.19/0.50     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.60  
% 0.43/0.60  
% 0.43/0.60  #||
% 0.43/0.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.60  % SZS output start Refutation
% See solution above
% 0.43/0.60  ||#
% 0.43/0.60  
% 0.43/0.60  ; Summary of computation:
% 0.43/0.60  ;       941 formulas have been input or derived (from 74 formulas).
% 0.43/0.60  ;       449 (48%) were retained.  Of these,
% 0.43/0.60  ;           30 ( 7%) were simplified or subsumed later,
% 0.43/0.60  ;          419 (93%) are still being kept.
% 0.43/0.60  ; 
% 0.43/0.60  ; Run time in seconds excluding printing time:
% 0.43/0.60  ;     0.014  10%   Read assertion file          (1 call)
% 0.43/0.60  ;     0.005   4%   Assert                       (43 calls)
% 0.43/0.60  ;     0.034  25%   Process new row              (916 calls)
% 0.43/0.60  ;     0.023  17%   Resolution                   (146 calls)
% 0.43/0.60  ;     0.000   0%   Paramodulation               (73 calls)
% 0.43/0.60  ;     0.004   3%   Condensing                   (224 calls)
% 0.43/0.60  ;     0.006   4%   Forward subsumption          (224 calls)
% 0.43/0.60  ;     0.006   4%   Backward subsumption         (224 calls)
% 0.43/0.60  ;     0.002   1%   Clause clause subsumption    (166 calls)
% 0.43/0.60  ;     0.012   9%   Forward simplification       (914 calls)
% 0.43/0.60  ;     0.000   0%   Backward simplification      (449 calls)
% 0.43/0.60  ;     0.000   0%   Ordering                     (263 calls)
% 0.43/0.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.43/0.60  ;     0.000   0%   Purity testing               (1 call)
% 0.43/0.60  ;     0.029  21%   Other
% 0.43/0.60  ;     0.135        Total
% 0.43/0.60  ;     0.136        Real time
% 0.43/0.60  ; 
% 0.43/0.60  ; Term-hash-array has 753 terms in all.
% 0.43/0.60  ; Feature-vector-row-index has 196 entries (211 at peak, 224 added, 28 deleted).
% 0.43/0.60  ; Feature-vector-row-index has 677 nodes (741 at peak, 795 added, 118 deleted).
% 0.43/0.60  ;  Retrieved 92 possibly forward subsuming rows in 224 calls.
% 0.43/0.60  ;  Retrieved 114 possibly backward subsumed rows in 224 calls.
% 0.43/0.60  ; Path-index has 747 entries (754 at peak, 768 added, 21 deleted).
% 0.43/0.60  ; Path-index has 931 nodes (931 at peak, 931 added, 0 deleted).
% 0.43/0.60  ; Trie-index has 747 entries (754 at peak, 768 added, 21 deleted).
% 0.43/0.60  ; Trie-index has 1,410 nodes (1,411 at peak, 1,416 added, 6 deleted).
% 0.43/0.60  ; Retrieved 597 generalization terms in 1,864 calls.
% 0.43/0.60  ; Retrieved 224 instance terms in 224 calls.
% 0.43/0.60  ; Retrieved 32,538 unifiable terms in 2,276 calls.
% 0.43/0.60  ; 
% 0.43/0.60  ; The agenda of rows to process has 7 entries:
% 0.43/0.60  ;     7 with value 9
% 0.43/0.60  ; The agenda of input rows to give has 72 entries:
% 0.43/0.60  ;     1 with value 6               4 with value 22               1 with value 29
% 0.43/0.60  ;     1 with value 10              9 with value 23               5 with value 31
% 0.43/0.60  ;     4 with value 17              4 with value 24               6 with value 32
% 0.43/0.60  ;     2 with value 18              7 with value 25               1 with value 40
% 0.43/0.60  ;     2 with value 19              5 with value 26               1 with value 41
% 0.43/0.60  ;     4 with value 20              4 with value 27               1 with value 42
% 0.43/0.60  ;     7 with value 21              3 with value 28
% 0.43/0.60  ; The agenda of rows to give has 274 entries:
% 0.43/0.60  ;     1 with value (4 5)          40 with value (4 8)           37 with value (4 10)
% 0.43/0.60  ;    22 with value (4 6)          10 with value (4 9)           84 with value (4 11)
% 0.43/0.60  ;    80 with value (4 7)
% 0.43/0.60  Evaluation took:
% 0.43/0.60    0.137 seconds of real time
% 0.43/0.60    0.127932 seconds of user run time
% 0.43/0.60    0.009203 seconds of system run time
% 0.43/0.60    0 calls to %EVAL
% 0.43/0.60    0 page faults and
% 0.43/0.60    8,376,848 bytes consed.
% 0.43/0.60  :PROOF-FOUND
% 0.43/0.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:47:24
% 0.43/0.60  :PROOF-FOUND
% 0.43/0.60  * 
%------------------------------------------------------------------------------