TSTP Solution File: SEU121+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU121+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 14:19:14 EDT 2022

% Result   : Theorem 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;   9 RR)
%            Number of literals    :   14 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 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(4,axiom,
    ( ~ subset(X,Y)
    | ~ in(Z,X)
    | in(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(5,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAW2'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(6,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAW2'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(19,negated_conjecture,
    subset('SKOLEMAAAW6','SKOLEMAAAW7'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

cnf(20,negated_conjecture,
    subset('SKOLEMAAAW7','SKOLEMAAAW8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

cnf(21,negated_conjecture,
    ~ subset('SKOLEMAAAW6','SKOLEMAAAW8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

cnf(32,plain,
    in('SKOLEMAAAW2'('SKOLEMAAAW6','SKOLEMAAAW8'),'SKOLEMAAAW6'),
    inference('HYPERRESOLVE',[status(thm)],[21,5]) ).

cnf(33,plain,
    ~ in('SKOLEMAAAW2'('SKOLEMAAAW6','SKOLEMAAAW8'),'SKOLEMAAAW8'),
    inference('UR-RESOLVE',[status(thm)],[6,21]) ).

cnf(91,plain,
    in('SKOLEMAAAW2'('SKOLEMAAAW6','SKOLEMAAAW8'),'SKOLEMAAAW7'),
    inference('HYPERRESOLVE',[status(thm)],[4,32,19]) ).

cnf(122,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,33,20]),91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 11:46:31 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T11:46:31
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T11:46:31
% 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.
% 0.21/0.57  ; Declaring disjoint to be commutative.
% 0.21/0.57  
% 0.21/0.57  #||
% 0.21/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.57  % SZS output start Refutation
% See solution above
% 0.21/0.57  ||#
% 0.21/0.57  
% 0.21/0.57  ; Summary of computation:
% 0.21/0.57  ;       538 formulas have been input or derived (from 50 formulas).
% 0.21/0.57  ;       122 (23%) were retained.  Of these,
% 0.21/0.57  ;            8 ( 7%) were simplified or subsumed later,
% 0.21/0.57  ;          114 (93%) are still being kept.
% 0.21/0.57  ; 
% 0.21/0.57  ; Run time in seconds excluding printing time:
% 0.21/0.57  ;     0.004   4%   Read assertion file          (1 call)
% 0.21/0.57  ;     0.001   1%   Assert                       (20 calls)
% 0.21/0.57  ;     0.011  12%   Process new row              (390 calls)
% 0.21/0.57  ;     0.018  19%   Resolution                   (98 calls)
% 0.21/0.57  ;     0.000   0%   Paramodulation               (49 calls)
% 0.21/0.57  ;     0.001   1%   Factoring                    (7 calls)
% 0.21/0.57  ;     0.005   5%   Condensing                   (226 calls)
% 0.21/0.57  ;     0.006   6%   Forward subsumption          (226 calls)
% 0.21/0.57  ;     0.002   2%   Backward subsumption         (71 calls)
% 0.21/0.57  ;     0.005   5%   Clause clause subsumption    (449 calls)
% 0.21/0.57  ;     0.011  12%   Forward simplification       (389 calls)
% 0.21/0.57  ;     0.001   1%   Backward simplification      (122 calls)
% 0.21/0.57  ;     0.000   0%   Ordering                     (665 calls)
% 0.21/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.57  ;     0.028  30%   Other
% 0.21/0.57  ;     0.093        Total
% 0.21/0.57  ;     0.094        Real time
% 0.21/0.57  ; 
% 0.21/0.57  ; Term-hash-array has 214 terms in all.
% 0.21/0.57  ; Feature-vector-row-index has 66 entries (66 at peak, 71 added, 5 deleted).
% 0.21/0.57  ; Feature-vector-row-index has 154 nodes (154 at peak, 171 added, 17 deleted).
% 0.21/0.57  ;  Retrieved 748 possibly forward subsuming rows in 226 calls.
% 0.21/0.57  ;  Retrieved 98 possibly backward subsumed rows in 71 calls.
% 0.21/0.57  ; Path-index has 213 entries (213 at peak, 228 added, 15 deleted).
% 0.21/0.57  ; Path-index has 223 nodes (223 at peak, 233 added, 10 deleted).
% 0.21/0.57  ; Trie-index has 213 entries (213 at peak, 228 added, 15 deleted).
% 0.21/0.57  ; Trie-index has 391 nodes (391 at peak, 413 added, 22 deleted).
% 0.21/0.57  ; Retrieved 471 generalization terms in 871 calls.
% 0.21/0.58  ; Retrieved 57 instance terms in 50 calls.
% 0.21/0.58  ; Retrieved 6,885 unifiable terms in 678 calls.
% 0.21/0.58  ; 
% 0.21/0.58  ; The agenda of rows to process has 8 entries:
% 0.21/0.58  ;     5 with value 9               1 with value 11               1 with value 16
% 0.21/0.58  ;     1 with value 10
% 0.21/0.58  ; The agenda of rows to give has 65 entries:
% 0.21/0.58  ;     3 with value (4 8)           2 with value (4 15)           1 with value (4 22)
% 0.21/0.58  ;     8 with value (4 9)           5 with value (4 16)           9 with value (4 24)
% 0.21/0.58  ;    11 with value (4 10)          1 with value (4 17)           1 with value (4 26)
% 0.21/0.58  ;     6 with value (4 12)          3 with value (4 18)           4 with value (4 31)
% 0.21/0.58  ;     3 with value (4 13)          2 with value (4 19)           2 with value (4 32)
% 0.21/0.58  ;     1 with value (4 14)          1 with value (4 21)           2 with value (4 33)
% 0.21/0.58  Evaluation took:
% 0.21/0.58    0.094 seconds of real time
% 0.21/0.58    0.085601 seconds of user run time
% 0.21/0.58    0.008933 seconds of system run time
% 0.21/0.58    0 calls to %EVAL
% 0.21/0.58    0 page faults and
% 0.21/0.58    4,810,960 bytes consed.
% 0.21/0.58  :PROOF-FOUND
% 0.21/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T11:46:31
% 0.21/0.58  :PROOF-FOUND
% 0.21/0.58  * 
%------------------------------------------------------------------------------