TSTP Solution File: RNG121+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG121+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 20:40:50 EDT 2022

% Result   : Theorem 137.14s 137.34s
% Output   : Refutation 137.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   6 equ;  10 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ aElement0(X)
    | X = sdtpldt0(sz00,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

cnf(33,axiom,
    ( ~ aSet0(X)
    | ~ aSet0(Y)
    | Z != sdtpldt1(X,Y)
    | aElementOf0(U,Z)
    | ~ aElementOf0(V,X)
    | ~ aElementOf0(W,Y)
    | sdtpldt0(V,W) != U ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).

cnf(81,axiom,
    ( ~ aElement0(X)
    | Y != slsdtgt0(X)
    | aSet0(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).

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

cnf(90,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

cnf(94,hypothesis,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(95,hypothesis,
    aElementOf0(sz00,slsdtgt0(xa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).

cnf(98,hypothesis,
    aElementOf0(xb,slsdtgt0(xb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).

cnf(117,negated_conjecture,
    ~ aElementOf0(xb,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(148,plain,
    xb = sdtpldt0(sz00,xb),
    inference('HYPERRESOLVE',[status(thm)],[9,90]) ).

cnf(287,plain,
    aSet0(slsdtgt0(xb)),
    inference('HYPERRESOLVE',[status(thm)],[81,90,theory(equality)]) ).

cnf(288,plain,
    aSet0(slsdtgt0(xa)),
    inference('HYPERRESOLVE',[status(thm)],[81,89,theory(equality)]) ).

cnf(111619,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,288,287,94,95,98,theory(equality)]),117,148,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG121+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 13:29:27 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T13:29:27
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T13:29:27
% 0.21/0.50  WARNING:
% 0.21/0.50     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 137.14/137.34  
% 137.14/137.34  
% 137.14/137.34  #||
% 137.14/137.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 137.14/137.34  % SZS output start Refutation
% See solution above
% 137.14/137.34  ||#
% 137.14/137.34  
% 137.14/137.34  ; Summary of computation:
% 137.14/137.34  ;    153851 formulas have been input or derived (from 147 formulas).
% 137.14/137.34  ;    111619 (73%) were retained.  Of these,
% 137.14/137.34  ;         8203 ( 7%) were simplified or subsumed later,
% 137.14/137.34  ;       103416 (93%) are still being kept.
% 137.14/137.34  ; 
% 137.14/137.34  ; Run time in seconds excluding printing time:
% 137.18/137.34  ;     0.012   0%   Read assertion file          (1 call)
% 137.18/137.34  ;     0.003   0%   Assert                       (53 calls)
% 137.18/137.34  ;    11.706   9%   Process new row              (152,812 calls)
% 137.18/137.34  ;    95.387  70%   Resolution                   (292 calls)
% 137.18/137.37  ;     0.003   0%   Paramodulation               (146 calls)
% 137.18/137.37  ;     0.140   0%   Condensing                   (89,234 calls)
% 137.18/137.37  ;    12.350   9%   Forward subsumption          (89,234 calls)
% 137.18/137.37  ;    11.475   8%   Backward subsumption         (80,883 calls)
% 137.18/137.37  ;     0.303   0%   Clause clause subsumption    (193,098 calls)
% 137.18/137.37  ;     2.681   2%   Forward simplification       (152,811 calls)
% 137.18/137.37  ;     1.786   1%   Backward simplification      (111,618 calls)
% 137.18/137.37  ;     0.353   0%   Ordering                     (191,267 calls)
% 137.18/137.37  ;     0.000   0%   Sortal reasoning             (32 calls)
% 137.18/137.37  ;     0.001   0%   Purity testing               (1 call)
% 137.18/137.37  ;     0.645   0%   Other
% 137.18/137.37  ;   136.845        Total
% 137.18/137.37  ;   136.890        Real time
% 137.18/137.37  ; 
% 137.18/137.38  ; Term-hash-array has 183,792 terms in all.
% 137.18/137.38  ; Feature-vector-row-index has 80,844 entries (80,844 at peak, 80,883 added, 39 deleted).
% 137.18/137.38  ; Feature-vector-row-index has 70,972 nodes (70,972 at peak, 71,146 added, 174 deleted).
% 137.18/137.38  ;  Retrieved 1,598,628 possibly forward subsuming rows in 89,234 calls.
% 137.18/137.38  ;  Retrieved 1,271,006 possibly backward subsumed rows in 80,883 calls.
% 137.18/137.38  ; Path-index has 168,653 entries (168,653 at peak, 190,367 added, 21,714 deleted).
% 137.18/137.38  ; Path-index has 3,547 nodes (3,547 at peak, 3,629 added, 82 deleted).
% 137.18/137.38  ; Trie-index has 168,653 entries (168,653 at peak, 190,367 added, 21,714 deleted).
% 137.18/137.38  ; Trie-index has 483,689 nodes (483,689 at peak, 567,124 added, 83,435 deleted).
% 137.18/137.38  ; Retrieved 77,806 generalization terms in 613,449 calls.
% 137.18/137.38  ; Retrieved 30,734 instance terms in 30,734 calls.
% 137.18/137.38  ; Retrieved 197,324,127 unifiable terms in 301,975 calls.
% 137.18/137.38  ; 
% 137.18/137.38  ; The agenda of rows to process has 965 entries:
% 137.18/137.38  ;    14 with value 9               8 with value 21              99 with value 35
% 137.18/137.38  ;     8 with value 10              1 with value 23              44 with value 36
% 137.18/137.38  ;    56 with value 11              3 with value 24             396 with value 39
% 137.18/137.38  ;    14 with value 12             36 with value 26               7 with value 40
% 137.18/137.38  ;    24 with value 13             10 with value 27               3 with value 42
% 137.18/137.38  ;    44 with value 14              3 with value 28              12 with value 47
% 137.18/137.38  ;     1 with value 16             26 with value 31              24 with value 48
% 137.18/137.38  ;     8 with value 17              4 with value 32             108 with value 53
% 137.18/137.38  ;     4 with value 18              8 with value 34
% 137.18/137.38  ; The agenda of rows to give has 103271 entries:
% 137.18/137.38  ;     5 with value (4 6)        3266 with value (4 19)          59 with value (4 32)
% 137.18/137.38  ;   168 with value (4 7)        3519 with value (4 20)           1 with value (4 33)
% 137.18/137.38  ;    81 with value (4 8)        5179 with value (4 21)          36 with value (4 34)
% 137.18/137.38  ;   258 with value (4 9)        9553 with value (4 22)         198 with value (4 35)
% 137.18/137.38  ;   341 with value (4 10)      14873 with value (4 23)          83 with value (4 36)
% 137.18/137.38  ;   673 with value (4 11)       9874 with value (4 24)         390 with value (4 39)
% 137.18/137.38  ;   190 with value (4 12)      11649 with value (4 25)          35 with value (4 40)
% 137.18/137.38  ;   746 with value (4 13)      15620 with value (4 26)          15 with value (4 42)
% 137.18/137.38  ;   626 with value (4 14)      10396 with value (4 27)           1 with value (4 44)
% 137.18/137.38  ;  1476 with value (4 15)       8953 with value (4 28)          26 with value (4 47)
% 137.18/137.38  ;   587 with value (4 16)        105 with value (4 30)          50 with value (4 48)
% 137.18/137.38  ;  2838 with value (4 17)        102 with value (4 31)         125 with value (4 53)
% 137.18/137.38  ;  1174 with value (4 18)
% 137.18/137.38  Evaluation took:
% 137.18/137.38    136.901 seconds of real time
% 137.18/137.38    133.91098 seconds of user run time
% 137.18/137.38    2.974662 seconds of system run time
% 137.18/137.38    [Run times include 12.171 seconds GC run time.]
% 137.18/137.38    0 calls to %EVAL
% 137.18/137.38    0 page faults and
% 137.18/137.38    5,580,730,624 bytes consed.
% 137.18/137.38  :PROOF-FOUND
% 137.18/137.38  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T13:31:44
% 137.18/137.38  :PROOF-FOUND
% 137.18/137.38  * 
%------------------------------------------------------------------------------