TSTP Solution File: RNG105+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG105+2 : 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 20:40:48 EDT 2022

% Result   : Theorem 22.24s 22.43s
% Output   : Refutation 22.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  10 unt;   0 nHn;  15 RR)
%            Number of literals    :   27 (   6 equ;  15 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | aElement0(sdtpldt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

cnf(5,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | aElement0(sdtasdt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

cnf(83,axiom,
    ( ~ aElement0(X)
    | Y != slsdtgt0(X)
    | aElementOf0(Z,Y)
    | ~ aElement0(U)
    | sdtasdt0(X,U) != Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).

cnf(87,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).

cnf(94,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).

cnf(95,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).

cnf(97,hypothesis,
    aElement0(xv),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1979) ).

cnf(99,hypothesis,
    sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).

cnf(100,hypothesis,
    sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2043) ).

cnf(105,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
    | ~ aElement0(X)
    | sdtasdt0(xc,X) != sdtasdt0(xz,xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(106,plain,
    ( ~ aElementOf0(sdtasdt0(xc,sdtpldt0(xu,xv)),slsdtgt0(xc))
    | ~ aElement0(X)
    | sdtasdt0(xc,X) != sdtasdt0(xz,xx) ),
    inference('REWRITE',[status(thm)],[105,99,theory(equality)]) ).

cnf(167,plain,
    aElement0(sdtpldt0(xu,xv)),
    inference('HYPERRESOLVE',[status(thm)],[4,95,97]) ).

cnf(217,plain,
    aElement0(sdtasdt0(xu,xz)),
    inference('HYPERRESOLVE',[status(thm)],[5,95,94]) ).

cnf(1285,plain,
    ~ aElementOf0(sdtasdt0(xc,sdtpldt0(xu,xv)),slsdtgt0(xc)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[106,100,theory(equality)]),217,theory(equality)]) ).

cnf(62007,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,167,87,99,theory(equality)]),1285,99,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG105+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon May 30 18:15:08 EDT 2022
% 0.13/0.34  % 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 2022-05-30T18:15:09
% 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 2022-05-30T18:15:09
% 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.
% 22.24/22.43  
% 22.24/22.43  
% 22.24/22.43  #||
% 22.24/22.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.24/22.43  % SZS output start Refutation
% See solution above
% 22.24/22.44  ||#
% 22.24/22.44  
% 22.24/22.44  ; Summary of computation:
% 22.24/22.44  ;    141693 formulas have been input or derived (from 131 formulas).
% 22.24/22.44  ;     62007 (44%) were retained.  Of these,
% 22.24/22.44  ;        12510 (20%) were simplified or subsumed later,
% 22.24/22.44  ;        49497 (80%) are still being kept.
% 22.24/22.44  ; 
% 22.24/22.44  ; Run time in seconds excluding printing time:
% 22.24/22.44  ;     0.012   0%   Read assertion file          (1 call)
% 22.24/22.44  ;     0.004   0%   Assert                       (44 calls)
% 22.24/22.44  ;     7.011  32%   Process new row              (127,163 calls)
% 22.24/22.44  ;     6.942  32%   Resolution                   (260 calls)
% 22.24/22.44  ;     0.004   0%   Paramodulation               (130 calls)
% 22.24/22.44  ;     0.027   0%   Condensing                   (5,097 calls)
% 22.24/22.44  ;     0.435   2%   Forward subsumption          (5,097 calls)
% 22.24/22.44  ;     0.178   1%   Backward subsumption         (4,371 calls)
% 22.24/22.44  ;     0.008   0%   Clause clause subsumption    (5,451 calls)
% 22.24/22.44  ;     4.201  19%   Forward simplification       (127,161 calls)
% 22.24/22.44  ;     2.354  11%   Backward simplification      (62,003 calls)
% 22.24/22.44  ;     0.349   2%   Ordering                     (67,609 calls)
% 22.24/22.44  ;     0.001   0%   Sortal reasoning             (32 calls)
% 22.24/22.44  ;     0.001   0%   Purity testing               (1 call)
% 22.24/22.44  ;     0.438   2%   Other
% 22.24/22.44  ;    21.965        Total
% 22.24/22.44  ;    21.967        Real time
% 22.24/22.44  ; 
% 22.24/22.44  ; Term-hash-array has 145,831 terms in all.
% 22.24/22.44  ; Feature-vector-row-index has 4,363 entries (4,363 at peak, 4,371 added, 8 deleted).
% 22.24/22.44  ; Feature-vector-row-index has 19,702 nodes (19,702 at peak, 19,754 added, 52 deleted).
% 22.24/22.44  ;  Retrieved 8,820 possibly forward subsuming rows in 5,097 calls.
% 22.24/22.44  ;  Retrieved 4,292 possibly backward subsumed rows in 4,371 calls.
% 22.24/22.44  ; Path-index has 124,610 entries (124,610 at peak, 155,368 added, 30,758 deleted).
% 22.24/22.44  ; Path-index has 4,224 nodes (4,224 at peak, 4,342 added, 118 deleted).
% 22.24/22.44  ; Trie-index has 124,610 entries (124,610 at peak, 155,368 added, 30,758 deleted).
% 22.24/22.44  ; Trie-index has 525,983 nodes (525,983 at peak, 649,620 added, 123,637 deleted).
% 22.24/22.44  ; Retrieved 184,996 generalization terms in 1,030,786 calls.
% 22.24/22.44  ; Retrieved 57,758 instance terms in 57,631 calls.
% 22.24/22.44  ; Retrieved 13,555,667 unifiable terms in 169,377 calls.
% 22.24/22.44  ; 
% 22.24/22.44  ; The agenda of rows to process has 14490 entries:
% 22.24/22.44  ;     3 with value 10             14 with value 19             402 with value 28
% 22.24/22.44  ;    82 with value 11             84 with value 20            1904 with value 29
% 22.24/22.44  ;    60 with value 12           1200 with value 21             392 with value 30
% 22.24/22.44  ;    76 with value 13           2480 with value 23             794 with value 31
% 22.24/22.44  ;     8 with value 14              1 with value 24             595 with value 33
% 22.24/22.44  ;    54 with value 15           3228 with value 25              15 with value 34
% 22.24/22.44  ;   102 with value 16            560 with value 26              14 with value 37
% 22.24/22.44  ;    28 with value 17           2296 with value 27               8 with value 45
% 22.24/22.44  ;    90 with value 18
% 22.24/22.44  ; The agenda of rows to give has 49370 entries:
% 22.24/22.44  ;   113 with value (4 7)        4130 with value (4 19)         772 with value (4 31)
% 22.24/22.44  ;   104 with value (4 8)        1615 with value (4 20)         477 with value (4 32)
% 22.24/22.44  ;    65 with value (4 9)        5969 with value (4 21)         474 with value (4 33)
% 22.24/22.44  ;   282 with value (4 10)       1481 with value (4 22)         228 with value (4 34)
% 22.24/22.44  ;   629 with value (4 11)       5303 with value (4 23)           1 with value (4 35)
% 22.24/22.44  ;   393 with value (4 12)       2069 with value (4 24)           1 with value (4 36)
% 22.24/22.44  ;   667 with value (4 13)       4545 with value (4 25)          36 with value (4 37)
% 22.24/22.44  ;   991 with value (4 14)       2481 with value (4 26)        1752 with value (4 39)
% 22.24/22.44  ;  1293 with value (4 15)       3414 with value (4 27)          56 with value (4 40)
% 22.24/22.44  ;  1807 with value (4 16)       1403 with value (4 28)          48 with value (4 45)
% 22.24/22.44  ;  1552 with value (4 17)       1669 with value (4 29)           1 with value (4 46)
% 22.24/22.44  ;  2018 with value (4 18)       1019 with value (4 30)         512 with value (4 53)
% 22.24/22.44  Evaluation took:
% 22.24/22.44    21.974 seconds of real time
% 22.24/22.44    20.458292 seconds of user run time
% 22.24/22.44    1.515104 seconds of system run time
% 22.24/22.44    [Run times include 5.735 seconds GC run time.]
% 22.24/22.44    0 calls to %EVAL
% 22.24/22.44    0 page faults and
% 22.24/22.44    1,389,574,880 bytes consed.
% 22.24/22.44  :PROOF-FOUND
% 22.24/22.44  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T18:15:31
% 22.24/22.44  :PROOF-FOUND
% 22.24/22.44  * 
%------------------------------------------------------------------------------