TSTP Solution File: RNG060+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG060+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 20:40:41 EDT 2022

% Result   : Theorem 22.40s 22.61s
% Output   : Refutation 22.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  12 unt;   0 nHn;  16 RR)
%            Number of literals    :   27 (  11 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ( ~ aScalar0(X)
    | aScalar0(smndt0(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).

cnf(26,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).

cnf(27,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtasdt0(sdtpldt0(X,Y),Z) = sdtpldt0(sdtasdt0(X,Z),sdtasdt0(Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).

cnf(28,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | ~ aScalar0(U)
    | sdtasdt0(sdtpldt0(X,Y),sdtpldt0(Z,U)) = sdtpldt0(sdtpldt0(sdtasdt0(X,Z),sdtasdt0(X,U)),sdtpldt0(sdtasdt0(Y,Z),sdtasdt0(Y,U))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).

cnf(85,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

cnf(89,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

cnf(95,hypothesis,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).

cnf(96,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).

cnf(97,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).

cnf(98,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(114,plain,
    aScalar0(smndt0(xS)),
    inference('HYPERRESOLVE',[status(thm)],[11,89]) ).

cnf(47590,plain,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),xR) = sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,114,85,85]),96,theory(equality)]) ).

cnf(47591,plain,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    inference('REWRITE',[status(thm)],[98,47590,theory(equality)]) ).

cnf(49028,plain,
    sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,114,85,114]),97,96,theory(equality)]) ).

cnf(49029,plain,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),xR),sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS)))),
    inference('REWRITE',[status(thm)],[47591,49028,theory(equality)]) ).

cnf(57434,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,114,85,85,114]),49029,49028,97,96,47590,95,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : RNG060+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon May 30 05:16:55 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:16:55
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-30T05:16:55
% 22.40/22.61  
% 22.40/22.61  
% 22.40/22.61  #||
% 22.40/22.61  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.40/22.61  % SZS output start Refutation
% See solution above
% 22.40/22.61  ||#
% 22.40/22.61  
% 22.40/22.61  ; Summary of computation:
% 22.40/22.61  ;    142538 formulas have been input or derived (from 115 formulas).
% 22.40/22.61  ;     57434 (40%) were retained.  Of these,
% 22.40/22.61  ;         3548 ( 6%) were simplified or subsumed later,
% 22.40/22.61  ;        53886 (94%) are still being kept.
% 22.40/22.61  ; 
% 22.40/22.61  ; Run time in seconds excluding printing time:
% 22.40/22.61  ;     0.014   0%   Read assertion file          (1 call)
% 22.40/22.61  ;     0.002   0%   Assert                       (59 calls)
% 22.40/22.61  ;     7.956  36%   Process new row              (134,180 calls)
% 22.40/22.61  ;     6.097  28%   Resolution                   (228 calls)
% 22.40/22.61  ;     0.003   0%   Paramodulation               (114 calls)
% 22.40/22.61  ;     0.003   0%   Condensing                   (299 calls)
% 22.40/22.61  ;     0.002   0%   Forward subsumption          (299 calls)
% 22.40/22.61  ;     0.003   0%   Backward subsumption         (192 calls)
% 22.40/22.61  ;     0.000   0%   Clause clause subsumption    (159 calls)
% 22.44/22.61  ;     6.240  28%   Forward simplification       (134,180 calls)
% 22.44/22.61  ;     1.076   5%   Backward simplification      (57,430 calls)
% 22.44/22.61  ;     0.299   1%   Ordering                     (56,792 calls)
% 22.44/22.61  ;     0.002   0%   Sortal reasoning             (32 calls)
% 22.44/22.61  ;     0.000   0%   Purity testing               (1 call)
% 22.44/22.61  ;     0.422   2%   Other
% 22.44/22.61  ;    22.119        Total
% 22.44/22.61  ;    22.121        Real time
% 22.44/22.62  ; 
% 22.44/22.62  ; Term-hash-array has 157,762 terms in all.
% 22.44/22.62  ; Feature-vector-row-index has 184 entries (184 at peak, 192 added, 8 deleted).
% 22.44/22.62  ; Feature-vector-row-index has 790 nodes (790 at peak, 834 added, 44 deleted).
% 22.44/22.62  ;  Retrieved 251 possibly forward subsuming rows in 299 calls.
% 22.44/22.62  ;  Retrieved 55 possibly backward subsumed rows in 192 calls.
% 22.44/22.62  ; Path-index has 150,012 entries (150,012 at peak, 160,007 added, 9,995 deleted).
% 22.44/22.62  ; Path-index has 2,722 nodes (2,722 at peak, 2,860 added, 138 deleted).
% 22.44/22.62  ; Trie-index has 150,012 entries (150,012 at peak, 160,007 added, 9,995 deleted).
% 22.44/22.62  ; Trie-index has 822,183 nodes (822,183 at peak, 874,219 added, 52,036 deleted).
% 22.44/22.62  ; Retrieved 493,964 generalization terms in 1,901,738 calls.
% 22.44/22.62  ; Retrieved 57,242 instance terms in 57,237 calls.
% 22.44/22.62  ; Retrieved 14,998,998 unifiable terms in 690,376 calls.
% 22.44/22.62  ; 
% 22.44/22.62  ; The agenda of rows to process has 8246 entries:
% 22.44/22.62  ;  6934 with value 36           1248 with value 39              64 with value 42
% 22.44/22.62  ; The agenda of input rows to give has 1 entry:
% 22.44/22.62  ;     1 with value 29
% 22.44/22.62  ; The agenda of rows to give has 53773 entries:
% 22.44/22.62  ;    14 with value (4 6)        1700 with value (4 22)          65 with value (4 37)
% 22.44/22.62  ;   263 with value (4 7)         358 with value (4 23)         254 with value (4 38)
% 22.44/22.62  ;    70 with value (4 8)       17053 with value (4 24)          77 with value (4 39)
% 22.44/22.62  ;   219 with value (4 9)          45 with value (4 25)          40 with value (4 40)
% 22.44/22.62  ;   275 with value (4 10)        949 with value (4 26)         128 with value (4 41)
% 22.44/22.62  ;   742 with value (4 11)       5731 with value (4 27)          41 with value (4 42)
% 22.44/22.62  ;    12 with value (4 12)        109 with value (4 28)          58 with value (4 43)
% 22.44/22.62  ;  1221 with value (4 13)       6596 with value (4 29)          16 with value (4 44)
% 22.44/22.62  ;   298 with value (4 14)        270 with value (4 30)          80 with value (4 45)
% 22.44/22.62  ;  3524 with value (4 15)       1859 with value (4 31)          16 with value (4 46)
% 22.44/22.62  ;   127 with value (4 16)        229 with value (4 32)          32 with value (4 47)
% 22.44/22.62  ;  2837 with value (4 17)        263 with value (4 33)          18 with value (4 48)
% 22.44/22.62  ;  3263 with value (4 18)        292 with value (4 34)          28 with value (4 49)
% 22.44/22.62  ;  1743 with value (4 19)         63 with value (4 35)           1 with value (4 51)
% 22.44/22.62  ;   736 with value (4 20)        347 with value (4 36)           1 with value (4 55)
% 22.44/22.62  ;  1710 with value (4 21)
% 22.44/22.62  Evaluation took:
% 22.44/22.62    22.128 seconds of real time
% 22.44/22.62    20.83366 seconds of user run time
% 22.44/22.62    1.293881 seconds of system run time
% 22.44/22.62    [Run times include 5.158 seconds GC run time.]
% 22.44/22.62    0 calls to %EVAL
% 22.44/22.62    0 page faults and
% 22.44/22.62    1,689,993,952 bytes consed.
% 22.44/22.62  :PROOF-FOUND
% 22.44/22.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:17:17
% 22.44/22.62  :PROOF-FOUND
% 22.44/22.62  * 
%------------------------------------------------------------------------------