TSTP Solution File: RNG119+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG119+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 0.92s 1.17s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   24 (  17 unt;   0 nHn;  24 RR)
%            Number of literals    :   38 (  13 equ;  16 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

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

cnf(8,axiom,
    ( ~ aElement0(X)
    | sdtpldt0(X,sz00) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

cnf(12,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

cnf(17,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | sdtasdt0(sdtpldt0(Y,Z),X) = sdtpldt0(sdtasdt0(Y,X),sdtasdt0(Z,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

cnf(21,axiom,
    ( ~ aElement0(X)
    | sz00 = sdtasdt0(sz00,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

cnf(24,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

cnf(45,axiom,
    ( ~ aIdeal0(X)
    | aSet0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

cnf(69,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | doDivides0(X,Y)
    | ~ aElement0(Z)
    | sdtasdt0(X,Z) != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).

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

cnf(93,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(102,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

cnf(110,hypothesis,
    ~ doDivides0(xu,xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).

cnf(111,hypothesis,
    aElement0(xq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

cnf(113,hypothesis,
    xb = sdtpldt0(sdtasdt0(xq,xu),xr),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

cnf(115,negated_conjecture,
    xr = sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(116,plain,
    xb = sdtpldt0(sdtasdt0(xq,xu),sz00),
    inference('REWRITE',[status(thm)],[113,115,theory(equality)]) ).

cnf(117,plain,
    aSet0(xI),
    inference('HYPERRESOLVE',[status(thm)],[45,93]) ).

cnf(132,plain,
    sdtpldt0(xq,sz00) = xq,
    inference('HYPERRESOLVE',[status(thm)],[8,111]) ).

cnf(1845,plain,
    aElement0(xu),
    inference('HYPERRESOLVE',[status(thm)],[24,117,102]) ).

cnf(2745,plain,
    sz00 = sdtasdt0(sz00,xu),
    inference('HYPERRESOLVE',[status(thm)],[21,1845]) ).

cnf(2753,plain,
    sdtasdt0(xu,xq) != xb,
    inference('UR-RESOLVE',[status(thm)],[69,1845,90,110,111]) ).

cnf(2813,plain,
    sdtasdt0(xu,xq) = sdtasdt0(xq,xu),
    inference('HYPERRESOLVE',[status(thm)],[12,1845,111]) ).

cnf(3255,plain,
    sdtasdt0(xq,xu) = xb,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,1845,111,1]),116,2745,132,theory(equality)]) ).

cnf(3260,plain,
    $false,
    inference('REWRITE',[status(thm)],[2813,2753,3255,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG119+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n024.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 05:33:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:33:21
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-30T05:33:21
% 0.18/0.49  WARNING:
% 0.18/0.49     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.92/1.17  
% 0.92/1.17  
% 0.92/1.17  #||
% 0.92/1.17  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.17  % SZS output start Refutation
% See solution above
% 0.92/1.17  ||#
% 0.92/1.17  
% 0.92/1.17  ; Summary of computation:
% 0.92/1.17  ;      8504 formulas have been input or derived (from 119 formulas).
% 0.92/1.17  ;      3260 (38%) were retained.  Of these,
% 0.92/1.17  ;          205 ( 6%) were simplified or subsumed later,
% 0.92/1.17  ;         3055 (94%) are still being kept.
% 0.92/1.17  ; 
% 0.92/1.17  ; Run time in seconds excluding printing time:
% 0.92/1.17  ;     0.012   2%   Read assertion file          (1 call)
% 0.92/1.17  ;     0.005   1%   Assert                       (51 calls)
% 0.92/1.17  ;     0.230  33%   Process new row              (7,421 calls)
% 0.92/1.17  ;     0.220  31%   Resolution                   (236 calls)
% 0.92/1.17  ;     0.000   0%   Paramodulation               (118 calls)
% 0.92/1.17  ;     0.003   0%   Condensing                   (540 calls)
% 0.92/1.17  ;     0.017   2%   Forward subsumption          (540 calls)
% 0.92/1.17  ;     0.006   1%   Backward subsumption         (520 calls)
% 0.92/1.17  ;     0.001   0%   Clause clause subsumption    (238 calls)
% 0.92/1.17  ;     0.121  17%   Forward simplification       (7,420 calls)
% 0.92/1.17  ;     0.032   5%   Backward simplification      (3,259 calls)
% 0.92/1.17  ;     0.008   1%   Ordering                     (2,999 calls)
% 0.92/1.17  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.92/1.17  ;     0.000   0%   Purity testing               (1 call)
% 0.92/1.17  ;     0.050   7%   Other
% 0.92/1.17  ;     0.705        Total
% 0.92/1.17  ;     0.707        Real time
% 0.92/1.17  ; 
% 0.92/1.17  ; Term-hash-array has 7,635 terms in all.
% 0.92/1.17  ; Feature-vector-row-index has 483 entries (483 at peak, 520 added, 37 deleted).
% 0.92/1.17  ; Feature-vector-row-index has 1,883 nodes (1,929 at peak, 2,075 added, 192 deleted).
% 0.92/1.17  ;  Retrieved 462 possibly forward subsuming rows in 540 calls.
% 0.92/1.17  ;  Retrieved 428 possibly backward subsumed rows in 520 calls.
% 0.92/1.17  ; Path-index has 7,325 entries (7,403 at peak, 7,825 added, 500 deleted).
% 0.92/1.17  ; Path-index has 1,776 nodes (1,782 at peak, 1,822 added, 46 deleted).
% 0.92/1.17  ; Trie-index has 7,325 entries (7,403 at peak, 7,825 added, 500 deleted).
% 0.92/1.17  ; Trie-index has 20,794 nodes (21,023 at peak, 22,223 added, 1,429 deleted).
% 0.92/1.17  ; Retrieved 9,515 generalization terms in 36,868 calls.
% 0.92/1.17  ; Retrieved 2,738 instance terms in 2,738 calls.
% 0.92/1.17  ; Retrieved 544,585 unifiable terms in 17,288 calls.
% 0.92/1.17  ; 
% 0.92/1.17  ; The agenda of backward simplifiable rows to process has 26 entries:
% 0.92/1.17  ;    26 with value 0
% 0.92/1.17  ; The agenda of rows to process has 1037 entries:
% 0.92/1.17  ;   999 with value 19             18 with value 24               1 with value 28
% 0.92/1.17  ;    19 with value 22
% 0.92/1.17  ; The agenda of rows to give has 2939 entries:
% 0.92/1.17  ;     3 with value (4 5)         591 with value (4 15)           2 with value (4 25)
% 0.92/1.17  ;    24 with value (4 6)          16 with value (4 16)           7 with value (4 27)
% 0.92/1.17  ;   120 with value (4 7)         834 with value (4 17)           4 with value (4 28)
% 0.92/1.17  ;    64 with value (4 8)         105 with value (4 18)           1 with value (4 30)
% 0.92/1.17  ;   129 with value (4 9)         189 with value (4 19)           2 with value (4 31)
% 0.92/1.17  ;    72 with value (4 10)        131 with value (4 20)           1 with value (4 34)
% 0.92/1.17  ;   213 with value (4 11)          9 with value (4 21)           1 with value (4 36)
% 0.92/1.17  ;    28 with value (4 12)         56 with value (4 22)           1 with value (4 41)
% 0.92/1.17  ;   320 with value (4 13)          4 with value (4 24)           1 with value (4 47)
% 0.92/1.17  ;    11 with value (4 14)
% 0.92/1.17  Evaluation took:
% 0.92/1.17    0.707 seconds of real time
% 0.92/1.17    0.650442 seconds of user run time
% 0.92/1.17    0.056856 seconds of system run time
% 0.92/1.17    [Run times include 0.051 seconds GC run time.]
% 0.92/1.17    0 calls to %EVAL
% 0.92/1.17    0 page faults and
% 0.92/1.17    55,901,408 bytes consed.
% 0.92/1.17  :PROOF-FOUND
% 0.92/1.17  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:33:22
% 0.92/1.17  :PROOF-FOUND
% 0.92/1.17  * 
%------------------------------------------------------------------------------