TSTP Solution File: NUM533+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:11:25 EDT 2022

% Result   : Theorem 0.35s 0.53s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  10 unt;   1 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aElementOf0(Z,Y)
    | aElementOf0(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(7,axiom,
    ( ~ aSet0(X)
    | aSubsetOf0(Y,X)
    | ~ aSet0(Y)
    | aElementOf0('SKOLEMAAAV2'(Y,X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(8,axiom,
    ( ~ aSet0(X)
    | aSubsetOf0(Y,X)
    | ~ aSet0(Y)
    | ~ aElementOf0('SKOLEMAAAV2'(Y,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(12,hypothesis,
    aSet0(xA),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__522) ).

cnf(13,hypothesis,
    aSet0(xB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__522) ).

cnf(14,hypothesis,
    aSet0(xC),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__522) ).

cnf(15,negated_conjecture,
    aSubsetOf0(xA,xB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(16,negated_conjecture,
    aSubsetOf0(xB,xC),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(17,negated_conjecture,
    ~ aSubsetOf0(xA,xC),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(26,plain,
    aElementOf0('SKOLEMAAAV2'(xA,xC),xA),
    inference('UR-RESOLVE',[status(thm)],[7,14,17,12]) ).

cnf(30,plain,
    ~ aElementOf0('SKOLEMAAAV2'(xA,xC),xC),
    inference('UR-RESOLVE',[status(thm)],[8,14,17,12]) ).

cnf(42,plain,
    aElementOf0('SKOLEMAAAV2'(xA,xC),xB),
    inference('HYPERRESOLVE',[status(thm)],[6,26,13,15]) ).

cnf(44,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,30,14,16]),42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jul  6 15:24:14 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-06T15:24:14
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-06T15:24:14
% 0.20/0.50  WARNING:
% 0.20/0.50     |isCountable0| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |aElement0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.35/0.53  
% 0.35/0.53  
% 0.35/0.53  #||
% 0.35/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.53  % SZS output start Refutation
% See solution above
% 0.35/0.53  ||#
% 0.35/0.53  
% 0.35/0.53  ; Summary of computation:
% 0.35/0.53  ;       119 formulas have been input or derived (from 32 formulas).
% 0.35/0.53  ;        44 (37%) were retained.  Of these,
% 0.35/0.53  ;            2 ( 5%) were simplified or subsumed later,
% 0.35/0.53  ;           42 (95%) are still being kept.
% 0.35/0.53  ; 
% 0.35/0.53  ; Run time in seconds excluding printing time:
% 0.35/0.53  ;     0.003   8%   Read assertion file          (1 call)
% 0.35/0.53  ;     0.001   3%   Assert                       (15 calls)
% 0.35/0.53  ;     0.002   5%   Process new row              (97 calls)
% 0.35/0.53  ;     0.004  11%   Resolution                   (62 calls)
% 0.35/0.53  ;     0.000   0%   Paramodulation               (31 calls)
% 0.35/0.53  ;     0.001   3%   Condensing                   (19 calls)
% 0.35/0.53  ;     0.000   0%   Forward subsumption          (19 calls)
% 0.35/0.53  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.35/0.53  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.35/0.53  ;     0.001   3%   Forward simplification       (94 calls)
% 0.35/0.53  ;     0.000   0%   Backward simplification      (44 calls)
% 0.35/0.53  ;     0.000   0%   Ordering                     (22 calls)
% 0.35/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.35/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.35/0.53  ;     0.025  68%   Other
% 0.35/0.53  ;     0.037        Total
% 0.35/0.53  ;     0.039        Real time
% 0.35/0.53  ; 
% 0.35/0.53  ; Term-hash-array has 65 terms in all.
% 0.35/0.53  ; Feature-vector-row-index has 17 entries (19 at peak, 19 added, 2 deleted).
% 0.35/0.53  ; Feature-vector-row-index has 76 nodes (88 at peak, 88 added, 12 deleted).
% 0.35/0.53  ;  Retrieved 0 possibly forward subsuming rows in 19 calls.
% 0.35/0.53  ;  Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.35/0.53  ; Path-index has 69 entries (69 at peak, 73 added, 4 deleted).
% 0.35/0.53  ; Path-index has 76 nodes (76 at peak, 78 added, 2 deleted).
% 0.35/0.53  ; Trie-index has 69 entries (69 at peak, 73 added, 4 deleted).
% 0.35/0.53  ; Trie-index has 102 nodes (102 at peak, 108 added, 6 deleted).
% 0.35/0.53  ; Retrieved 51 generalization terms in 92 calls.
% 0.35/0.53  ; Retrieved 24 instance terms in 24 calls.
% 0.35/0.53  ; Retrieved 2,105 unifiable terms in 776 calls.
% 0.35/0.53  ; 
% 0.35/0.53  ; The agenda of rows to process has 2 entries:
% 0.35/0.53  ;     1 with value 9               1 with value 10
% 0.35/0.53  ; The agenda of rows to give has 10 entries:
% 0.35/0.53  ;     1 with value (4 8)           2 with value (4 11)           2 with value (4 13)
% 0.35/0.53  ;     2 with value (4 9)           3 with value (4 12)
% 0.35/0.53  Evaluation took:
% 0.35/0.53    0.039 seconds of real time
% 0.35/0.53    0.036515 seconds of user run time
% 0.35/0.53    0.00293 seconds of system run time
% 0.35/0.53    0 calls to %EVAL
% 0.35/0.53    0 page faults and
% 0.35/0.53    2,444,128 bytes consed.
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T15:24:15
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  * 
%------------------------------------------------------------------------------