TSTP Solution File: NUM552+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM552+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:11:37 EDT 2022

% Result   : Theorem 10.86s 11.03s
% Output   : Refutation 10.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   23 (   2 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aElementOf0(Z,Y)
    | aElementOf0(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(94,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | aSet0(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

cnf(95,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | ~ aElementOf0(U,Z)
    | aSubsetOf0(U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

cnf(104,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).

cnf(106,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).

cnf(108,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).

cnf(111,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).

cnf(117,negated_conjecture,
    aElementOf0(xx,xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(118,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(157,plain,
    ~ aSubsetOf0(xQ,xT),
    inference('UR-RESOLVE',[status(thm)],[9,106,117,118]) ).

cnf(194,plain,
    aSet0(slbdtsldtrb0(xT,xk)),
    inference('HYPERRESOLVE',[status(thm)],[94,106,104,theory(equality)]) ).

cnf(1030,plain,
    ~ aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
    inference('UR-RESOLVE',[status(thm)],[95,157,106,104,theory(equality)]) ).

cnf(13650,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,194,108,111]),1030]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : NUM552+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n004.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 : Thu Jul  7 12:00:52 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-07T12:00:52
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-07T12:00:52
% 0.18/0.49  WARNING:
% 0.18/0.49     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 10.86/11.03  
% 10.86/11.03  
% 10.86/11.03  #||
% 10.86/11.03  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.86/11.03  % SZS output start Refutation
% See solution above
% 10.86/11.03  ||#
% 10.86/11.03  
% 10.86/11.03  ; Summary of computation:
% 10.86/11.03  ;     17505 formulas have been input or derived (from 188 formulas).
% 10.86/11.03  ;     13650 (78%) were retained.  Of these,
% 10.86/11.03  ;          236 ( 2%) were simplified or subsumed later,
% 10.86/11.03  ;        13414 (98%) are still being kept.
% 10.86/11.03  ; 
% 10.86/11.03  ; Run time in seconds excluding printing time:
% 10.86/11.03  ;     0.015   0%   Read assertion file          (1 call)
% 10.86/11.03  ;     0.005   0%   Assert                       (68 calls)
% 10.86/11.03  ;     1.718  16%   Process new row              (15,801 calls)
% 10.86/11.03  ;     3.994  38%   Resolution                   (374 calls)
% 10.86/11.03  ;     0.005   0%   Paramodulation               (187 calls)
% 10.86/11.03  ;     0.023   0%   Condensing                   (12,588 calls)
% 10.86/11.03  ;     3.515  33%   Forward subsumption          (12,588 calls)
% 10.86/11.03  ;     0.720   7%   Backward subsumption         (11,996 calls)
% 10.86/11.03  ;     0.039   0%   Clause clause subsumption    (13,032 calls)
% 10.86/11.03  ;     0.377   4%   Forward simplification       (15,800 calls)
% 10.86/11.03  ;     0.043   0%   Backward simplification      (13,650 calls)
% 10.86/11.03  ;     0.026   0%   Ordering                     (23,905 calls)
% 10.86/11.03  ;     0.001   0%   Sortal reasoning             (32 calls)
% 10.86/11.03  ;     0.001   0%   Purity testing               (1 call)
% 10.86/11.03  ;     0.086   1%   Other
% 10.86/11.03  ;    10.568        Total
% 10.86/11.03  ;    10.571        Real time
% 10.86/11.03  ; 
% 10.86/11.04  ; Term-hash-array has 34,943 terms in all.
% 10.86/11.04  ; Feature-vector-row-index has 11,790 entries (11,790 at peak, 11,996 added, 206 deleted).
% 10.86/11.04  ; Feature-vector-row-index has 47,836 nodes (47,836 at peak, 49,063 added, 1,227 deleted).
% 10.86/11.04  ;  Retrieved 38,782 possibly forward subsuming rows in 12,588 calls.
% 10.86/11.04  ;  Retrieved 18,980 possibly backward subsumed rows in 11,996 calls.
% 10.86/11.04  ; Path-index has 34,804 entries (34,804 at peak, 35,205 added, 401 deleted).
% 10.86/11.04  ; Path-index has 2,696 nodes (2,696 at peak, 2,751 added, 55 deleted).
% 10.86/11.04  ; Trie-index has 34,804 entries (34,804 at peak, 35,205 added, 401 deleted).
% 10.86/11.04  ; Trie-index has 83,409 nodes (83,409 at peak, 84,110 added, 701 deleted).
% 10.86/11.04  ; Retrieved 3,746 generalization terms in 83,861 calls.
% 10.86/11.04  ; Retrieved 1,655 instance terms in 1,653 calls.
% 10.86/11.04  ; Retrieved 14,479,062 unifiable terms in 142,774 calls.
% 10.86/11.04  ; 
% 10.86/11.04  ; The agenda of rows to process has 1578 entries:
% 10.86/11.04  ;     2 with value 9              24 with value 25              40 with value 40
% 10.86/11.04  ;     1 with value 10              3 with value 27             200 with value 41
% 10.86/11.04  ;    22 with value 11              8 with value 29              28 with value 42
% 10.86/11.04  ;    42 with value 12              6 with value 31              14 with value 43
% 10.86/11.04  ;     6 with value 13              2 with value 32             332 with value 44
% 10.86/11.04  ;     9 with value 14             40 with value 33               4 with value 45
% 10.86/11.04  ;     5 with value 19             42 with value 34              26 with value 46
% 10.86/11.04  ;     1 with value 20             30 with value 35             182 with value 47
% 10.86/11.04  ;     5 with value 21             74 with value 36              96 with value 48
% 10.86/11.04  ;     1 with value 22             18 with value 37              38 with value 52
% 10.86/11.04  ;     1 with value 23             38 with value 38              94 with value 57
% 10.86/11.04  ;     4 with value 24             74 with value 39              66 with value 62
% 10.86/11.04  ; The agenda of rows to give has 13226 entries:
% 10.86/11.04  ;    13 with value (4 7)          89 with value (4 22)         224 with value (4 37)
% 10.86/11.04  ;    88 with value (4 8)         147 with value (4 23)         405 with value (4 38)
% 10.86/11.04  ;   188 with value (4 9)         217 with value (4 24)         711 with value (4 39)
% 10.86/11.04  ;   176 with value (4 10)        262 with value (4 25)         429 with value (4 40)
% 10.86/11.04  ;   319 with value (4 11)        168 with value (4 26)        1016 with value (4 41)
% 10.86/11.04  ;   504 with value (4 12)        135 with value (4 27)         307 with value (4 42)
% 10.86/11.04  ;   122 with value (4 13)         58 with value (4 28)         154 with value (4 43)
% 10.86/11.04  ;    81 with value (4 14)         86 with value (4 29)        1661 with value (4 44)
% 10.86/11.04  ;    59 with value (4 15)        147 with value (4 30)          50 with value (4 45)
% 10.86/11.04  ;    66 with value (4 16)        188 with value (4 31)         205 with value (4 46)
% 10.86/11.04  ;    80 with value (4 17)         69 with value (4 32)         997 with value (4 47)
% 10.86/11.04  ;    57 with value (4 18)        348 with value (4 33)         484 with value (4 48)
% 10.86/11.04  ;    58 with value (4 19)        510 with value (4 34)         364 with value (4 52)
% 10.86/11.04  ;    29 with value (4 20)        390 with value (4 35)         486 with value (4 57)
% 10.86/11.04  ;   136 with value (4 21)        613 with value (4 36)         330 with value (4 62)
% 10.86/11.04  Evaluation took:
% 10.86/11.04    10.576 seconds of real time
% 10.86/11.04    10.144117 seconds of user run time
% 10.86/11.04    0.430039 seconds of system run time
% 10.86/11.04    [Run times include 1.424 seconds GC run time.]
% 10.86/11.04    0 calls to %EVAL
% 10.86/11.04    0 page faults and
% 10.86/11.04    937,187,984 bytes consed.
% 10.86/11.04  :PROOF-FOUND
% 10.86/11.04  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T12:01:03
% 10.86/11.04  :PROOF-FOUND
% 10.86/11.04  * 
%------------------------------------------------------------------------------