TSTP Solution File: SEU124+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 : Tue Jul 19 14:19:16 EDT 2022

% Result   : Theorem 0.37s 0.54s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   6 RR)
%            Number of literals    :   12 (   1 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X != set_union2(Y,Z)
    | in(U,X)
    | ~ in(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

cnf(8,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV2'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(9,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV2'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(19,negated_conjecture,
    ~ subset('SKOLEMAAAV5',set_union2('SKOLEMAAAV5','SKOLEMAAAV6')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).

cnf(24,plain,
    in('SKOLEMAAAV2'('SKOLEMAAAV5',set_union2('SKOLEMAAAV5','SKOLEMAAAV6')),'SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[19,8]) ).

cnf(25,plain,
    ~ in('SKOLEMAAAV2'('SKOLEMAAAV5',set_union2('SKOLEMAAAV5','SKOLEMAAAV6')),set_union2('SKOLEMAAAV5','SKOLEMAAAV6')),
    inference('UR-RESOLVE',[status(thm)],[9,19]) ).

cnf(49,plain,
    in('SKOLEMAAAV2'('SKOLEMAAAV5',set_union2('SKOLEMAAAV5','SKOLEMAAAV6')),set_union2('SKOLEMAAAV5',X)),
    inference('HYPERRESOLVE',[status(thm)],[3,24,theory(equality)]) ).

cnf(50,plain,
    $false,
    inference('REWRITE',[status(thm)],[25,49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 04:30:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:30:29
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-19T04:30:29
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.37/0.54  ; Declaring set_union2 to be commutative.
% 0.37/0.54  
% 0.37/0.54  #||
% 0.37/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54  % SZS output start Refutation
% See solution above
% 0.37/0.54  ||#
% 0.37/0.54  
% 0.37/0.54  ; Summary of computation:
% 0.37/0.54  ;       185 formulas have been input or derived (from 26 formulas).
% 0.37/0.54  ;        50 (27%) were retained.  Of these,
% 0.37/0.54  ;            2 ( 4%) were simplified or subsumed later,
% 0.37/0.54  ;           48 (96%) are still being kept.
% 0.37/0.54  ; 
% 0.37/0.54  ; Run time in seconds excluding printing time:
% 0.37/0.54  ;     0.003   5%   Read assertion file          (1 call)
% 0.37/0.54  ;     0.001   2%   Assert                       (18 calls)
% 0.37/0.54  ;     0.007  12%   Process new row              (140 calls)
% 0.37/0.54  ;     0.007  12%   Resolution                   (50 calls)
% 0.37/0.54  ;     0.000   0%   Paramodulation               (25 calls)
% 0.37/0.54  ;     0.000   0%   Factoring                    (2 calls)
% 0.37/0.55  ;     0.002   3%   Condensing                   (85 calls)
% 0.37/0.55  ;     0.001   2%   Forward subsumption          (85 calls)
% 0.37/0.55  ;     0.001   2%   Backward subsumption         (29 calls)
% 0.37/0.55  ;     0.007  12%   Clause clause subsumption    (168 calls)
% 0.37/0.55  ;     0.004   7%   Forward simplification       (139 calls)
% 0.37/0.55  ;     0.000   0%   Backward simplification      (50 calls)
% 0.37/0.55  ;     0.000   0%   Ordering                     (424 calls)
% 0.37/0.55  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.37/0.55  ;     0.001   2%   Purity testing               (1 call)
% 0.37/0.55  ;     0.023  40%   Other
% 0.37/0.55  ;     0.058        Total
% 0.37/0.55  ;     0.063        Real time
% 0.37/0.55  ; 
% 0.37/0.55  ; Term-hash-array has 101 terms in all.
% 0.37/0.55  ; Feature-vector-row-index has 29 entries (29 at peak, 29 added, 0 deleted).
% 0.37/0.55  ; Feature-vector-row-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.37/0.55  ;  Retrieved 300 possibly forward subsuming rows in 85 calls.
% 0.37/0.55  ;  Retrieved 23 possibly backward subsumed rows in 29 calls.
% 0.37/0.55  ; Path-index has 104 entries (105 at peak, 106 added, 2 deleted).
% 0.37/0.55  ; Path-index has 116 nodes (117 at peak, 118 added, 2 deleted).
% 0.37/0.55  ; Trie-index has 104 entries (105 at peak, 106 added, 2 deleted).
% 0.37/0.55  ; Trie-index has 165 nodes (166 at peak, 167 added, 2 deleted).
% 0.37/0.55  ; Retrieved 171 generalization terms in 369 calls.
% 0.37/0.55  ; Retrieved 24 instance terms in 20 calls.
% 0.37/0.55  ; Retrieved 2,143 unifiable terms in 254 calls.
% 0.37/0.55  ; 
% 0.37/0.55  ; The agenda of rows to process has 4 entries:
% 0.37/0.55  ;     1 with value 16              1 with value 19               1 with value 22
% 0.37/0.55  ;     1 with value 18
% 0.37/0.55  ; The agenda of rows to give has 23 entries:
% 0.37/0.55  ;     1 with value (4 5)           1 with value (4 13)           3 with value (4 34)
% 0.37/0.55  ;     2 with value (4 6)           1 with value (4 14)           3 with value (4 39)
% 0.37/0.55  ;     1 with value (4 9)           2 with value (4 16)           1 with value (4 54)
% 0.37/0.55  ;     1 with value (4 11)          3 with value (4 21)           2 with value (4 55)
% 0.37/0.55  ;     1 with value (4 12)          1 with value (4 24)
% 0.37/0.55  Evaluation took:
% 0.37/0.55    0.064 seconds of real time
% 0.37/0.55    0.049633 seconds of user run time
% 0.37/0.55    0.011319 seconds of system run time
% 0.37/0.55    0 calls to %EVAL
% 0.37/0.55    0 page faults and
% 0.37/0.55    3,287,688 bytes consed.
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:30:29
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  * 
%------------------------------------------------------------------------------