TSTP Solution File: SEU130+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 14:19:20 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (   2 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X = Y
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).

cnf(27,axiom,
    subset(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

cnf(29,axiom,
    subset(set_intersection2(X,Y),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).

cnf(30,axiom,
    ( ~ subset(X,Y)
    | ~ subset(X,Z)
    | subset(X,set_intersection2(Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).

cnf(34,negated_conjecture,
    subset('SKOLEMAAAV7','SKOLEMAAAV8'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).

cnf(35,negated_conjecture,
    set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8') != 'SKOLEMAAAV7',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).

cnf(60,plain,
    ~ subset('SKOLEMAAAV7',set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8')),
    inference('UR-RESOLVE',[status(thm)],[3,35,29]) ).

cnf(100,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[30,34,27]),60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.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 : Sun Jun 19 03:29:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-19T03:29:17
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T03:29:17
% 0.18/0.48  
% 0.18/0.48  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.48  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.48  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.48  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.48  ; Declaring set_union2 to be commutative.
% 0.18/0.48  ; Declaring set_intersection2 to be commutative.
% 0.18/0.52  ; Declaring disjoint to be commutative.
% 0.18/0.52  
% 0.18/0.52  #||
% 0.18/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52  % SZS output start Refutation
% See solution above
% 0.18/0.52  ||#
% 0.18/0.52  
% 0.18/0.52  ; Summary of computation:
% 0.18/0.52  ;       373 formulas have been input or derived (from 40 formulas).
% 0.18/0.52  ;       100 (27%) were retained.  Of these,
% 0.18/0.52  ;            1 ( 1%) were simplified or subsumed later,
% 0.18/0.52  ;           99 (99%) are still being kept.
% 0.18/0.52  ; 
% 0.18/0.52  ; Run time in seconds excluding printing time:
% 0.18/0.52  ;     0.007  11%   Read assertion file          (1 call)
% 0.18/0.52  ;     0.002   3%   Assert                       (38 calls)
% 0.18/0.52  ;     0.008  12%   Process new row              (296 calls)
% 0.18/0.52  ;     0.009  14%   Resolution                   (78 calls)
% 0.18/0.52  ;     0.001   2%   Paramodulation               (39 calls)
% 0.18/0.52  ;     0.001   2%   Factoring                    (5 calls)
% 0.18/0.53  ;     0.003   5%   Condensing                   (130 calls)
% 0.18/0.53  ;     0.002   3%   Forward subsumption          (130 calls)
% 0.18/0.53  ;     0.001   2%   Backward subsumption         (70 calls)
% 0.18/0.53  ;     0.000   0%   Clause clause subsumption    (148 calls)
% 0.18/0.53  ;     0.004   6%   Forward simplification       (295 calls)
% 0.18/0.53  ;     0.000   0%   Backward simplification      (100 calls)
% 0.18/0.53  ;     0.000   0%   Ordering                     (141 calls)
% 0.18/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.53  ;     0.001   2%   Purity testing               (1 call)
% 0.18/0.53  ;     0.025  39%   Other
% 0.18/0.53  ;     0.064        Total
% 0.18/0.53  ;     0.066        Real time
% 0.18/0.53  ; 
% 0.18/0.53  ; Term-hash-array has 161 terms in all.
% 0.18/0.53  ; Feature-vector-row-index has 70 entries (70 at peak, 70 added, 0 deleted).
% 0.18/0.53  ; Feature-vector-row-index has 152 nodes (152 at peak, 152 added, 0 deleted).
% 0.18/0.53  ;  Retrieved 235 possibly forward subsuming rows in 130 calls.
% 0.18/0.53  ;  Retrieved 35 possibly backward subsumed rows in 70 calls.
% 0.18/0.53  ; Path-index has 165 entries (165 at peak, 166 added, 1 deleted).
% 0.18/0.53  ; Path-index has 204 nodes (204 at peak, 205 added, 1 deleted).
% 0.18/0.53  ; Trie-index has 165 entries (165 at peak, 166 added, 1 deleted).
% 0.18/0.53  ; Trie-index has 327 nodes (327 at peak, 328 added, 1 deleted).
% 0.18/0.53  ; Retrieved 368 generalization terms in 552 calls.
% 0.18/0.53  ; Retrieved 35 instance terms in 29 calls.
% 0.18/0.53  ; Retrieved 3,875 unifiable terms in 380 calls.
% 0.18/0.53  ; 
% 0.18/0.53  ; The agenda of rows to process has 47 entries:
% 0.18/0.53  ;    10 with value 8               6 with value 13               2 with value 18
% 0.18/0.53  ;     4 with value 10              6 with value 15               3 with value 22
% 0.18/0.53  ;    12 with value 11              4 with value 16
% 0.18/0.53  ; The agenda of input rows to give has 9 entries:
% 0.18/0.53  ;     1 with value 15              4 with value 23               2 with value 31
% 0.18/0.53  ;     2 with value 19
% 0.18/0.53  ; The agenda of rows to give has 51 entries:
% 0.18/0.53  ;     3 with value (4 5)           9 with value (4 12)           4 with value (4 18)
% 0.18/0.53  ;     1 with value (4 7)           5 with value (4 13)           4 with value (4 19)
% 0.18/0.53  ;     4 with value (4 8)           2 with value (4 14)           1 with value (4 20)
% 0.18/0.53  ;     2 with value (4 9)           4 with value (4 15)           1 with value (4 22)
% 0.18/0.53  ;     2 with value (4 10)          4 with value (4 17)           1 with value (4 24)
% 0.18/0.53  ;     4 with value (4 11)
% 0.18/0.53  Evaluation took:
% 0.18/0.53    0.067 seconds of real time
% 0.18/0.53    0.058069 seconds of user run time
% 0.18/0.53    0.0083 seconds of system run time
% 0.18/0.53    0 calls to %EVAL
% 0.18/0.53    0 page faults and
% 0.18/0.53    3,427,008 bytes consed.
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T03:29:17
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  * 
%------------------------------------------------------------------------------