TSTP Solution File: SEU140+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU140+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 14:19:25 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  10 RR)
%            Number of literals    :   16 (   5 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ disjoint(X,Y)
    | set_intersection2(X,Y) = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).

cnf(2,axiom,
    ( disjoint(X,Y)
    | set_intersection2(X,Y) != empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).

cnf(8,axiom,
    ( ~ subset(X,Y)
    | subset(set_intersection2(X,Z),set_intersection2(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_xboole_1) ).

cnf(10,axiom,
    ( ~ subset(X,empty_set)
    | X = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).

cnf(11,negated_conjecture,
    subset('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).

cnf(12,negated_conjecture,
    disjoint('SKOLEMAAAV4','SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).

cnf(13,negated_conjecture,
    ~ disjoint('SKOLEMAAAV3','SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).

cnf(17,plain,
    set_intersection2('SKOLEMAAAV4','SKOLEMAAAV5') = empty_set,
    inference('HYPERRESOLVE',[status(thm)],[1,12]) ).

cnf(19,plain,
    set_intersection2('SKOLEMAAAV3','SKOLEMAAAV5') != empty_set,
    inference('UR-RESOLVE',[status(thm)],[2,13]) ).

cnf(21,plain,
    subset(set_intersection2('SKOLEMAAAV3',X),set_intersection2('SKOLEMAAAV4',X)),
    inference('HYPERRESOLVE',[status(thm)],[8,11]) ).

cnf(23,plain,
    ~ subset(set_intersection2('SKOLEMAAAV3','SKOLEMAAAV5'),empty_set),
    inference('UR-RESOLVE',[status(thm)],[10,19]) ).

cnf(25,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,17,theory(equality)]),23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU140+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sun Jun 19 04:55:23 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:55:23
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-19T04:55:23
% 0.21/0.50  
% 0.21/0.50  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.50  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.21/0.50  ; Declaring set_intersection2 to be commutative.
% 0.21/0.50  WARNING:
% 0.21/0.50     |in| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.21/0.52  ; Declaring disjoint to be commutative.
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        85 formulas have been input or derived (from 24 formulas).
% 0.21/0.52  ;        25 (29%) were retained.  Of these,
% 0.21/0.52  ;            1 ( 4%) were simplified or subsumed later,
% 0.21/0.52  ;           24 (96%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.003   9%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.001   3%   Assert                       (18 calls)
% 0.21/0.52  ;     0.002   6%   Process new row              (62 calls)
% 0.21/0.52  ;     0.001   3%   Resolution                   (46 calls)
% 0.21/0.52  ;     0.002   6%   Paramodulation               (23 calls)
% 0.21/0.52  ;     0.001   3%   Condensing                   (7 calls)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (7 calls)
% 0.21/0.52  ;     0.000   0%   Backward subsumption         (7 calls)
% 0.21/0.52  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.21/0.52  ;     0.000   0%   Forward simplification       (59 calls)
% 0.21/0.52  ;     0.000   0%   Backward simplification      (25 calls)
% 0.21/0.52  ;     0.000   0%   Ordering                     (41 calls)
% 0.21/0.52  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.022  67%   Other
% 0.21/0.52  ;     0.033        Total
% 0.21/0.52  ;     0.035        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 37 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.21/0.52  ;  Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.21/0.52  ;  Retrieved 1 possibly backward subsumed row in 7 calls.
% 0.21/0.52  ; Path-index has 42 entries (42 at peak, 43 added, 1 deleted).
% 0.21/0.52  ; Path-index has 52 nodes (52 at peak, 53 added, 1 deleted).
% 0.21/0.52  ; Trie-index has 42 entries (42 at peak, 43 added, 1 deleted).
% 0.21/0.52  ; Trie-index has 74 nodes (74 at peak, 75 added, 1 deleted).
% 0.21/0.52  ; Retrieved 50 generalization terms in 69 calls.
% 0.21/0.52  ; Retrieved 18 instance terms in 17 calls.
% 0.21/0.52  ; Retrieved 198 unifiable terms in 131 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of rows to process has 3 entries:
% 0.21/0.52  ;     2 with value 9               1 with value 16
% 0.21/0.52  ; The agenda of rows to give has 1 entry:
% 0.21/0.52  ;     1 with value (4 9)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.035 seconds of real time
% 0.21/0.52    0.02598 seconds of user run time
% 0.21/0.52    0.009053 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    2,116,720 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:55:23
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------