TSTP Solution File: SEU132+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 14:19:21 EDT 2022

% Result   : Theorem 0.14s 0.50s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   2 nHn;  13 RR)
%            Number of literals    :   25 (   3 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ subset(X,Y)
    | ~ in(Z,X)
    | in(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(3,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAS1'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(4,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAS1'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(5,axiom,
    ( X != set_difference(Y,Z)
    | ~ in(U,X)
    | in(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

cnf(6,axiom,
    ( X != set_difference(Y,Z)
    | ~ in(U,X)
    | ~ in(U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

cnf(7,axiom,
    ( X != set_difference(Y,Z)
    | in(U,X)
    | ~ in(U,Y)
    | in(U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

cnf(15,negated_conjecture,
    subset('SKOLEMAAAS5','SKOLEMAAAS6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).

cnf(16,negated_conjecture,
    ~ subset(set_difference('SKOLEMAAAS5','SKOLEMAAAS7'),set_difference('SKOLEMAAAS6','SKOLEMAAAS7')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).

cnf(24,plain,
    in('SKOLEMAAAS1'(set_difference('SKOLEMAAAS5','SKOLEMAAAS7'),set_difference('SKOLEMAAAS6','SKOLEMAAAS7')),set_difference('SKOLEMAAAS5','SKOLEMAAAS7')),
    inference('HYPERRESOLVE',[status(thm)],[16,3]) ).

cnf(25,plain,
    ~ in('SKOLEMAAAS1'(set_difference('SKOLEMAAAS5','SKOLEMAAAS7'),set_difference('SKOLEMAAAS6','SKOLEMAAAS7')),set_difference('SKOLEMAAAS6','SKOLEMAAAS7')),
    inference('UR-RESOLVE',[status(thm)],[4,16]) ).

cnf(55,plain,
    in('SKOLEMAAAS1'(set_difference('SKOLEMAAAS5','SKOLEMAAAS7'),set_difference('SKOLEMAAAS6','SKOLEMAAAS7')),'SKOLEMAAAS5'),
    inference('HYPERRESOLVE',[status(thm)],[5,24,theory(equality)]) ).

cnf(57,plain,
    ~ in('SKOLEMAAAS1'(set_difference('SKOLEMAAAS5','SKOLEMAAAS7'),set_difference('SKOLEMAAAS6','SKOLEMAAAS7')),'SKOLEMAAAS7'),
    inference('UR-RESOLVE',[status(thm)],[6,24,theory(equality)]) ).

cnf(191,plain,
    in('SKOLEMAAAS1'(set_difference('SKOLEMAAAS5','SKOLEMAAAS7'),set_difference('SKOLEMAAAS6','SKOLEMAAAS7')),'SKOLEMAAAS6'),
    inference('HYPERRESOLVE',[status(thm)],[2,55,15]) ).

cnf(322,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,25,57,theory(equality)]),191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10  % Command  : run-snark %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 18 22:54:02 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.38  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  * 
% 0.14/0.39  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T22:54:02
% 0.14/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T22:54:02
% 0.14/0.41  
% 0.14/0.50  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.14/0.50  
% 0.14/0.50  #||
% 0.14/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.50  % SZS output start Refutation
% See solution above
% 0.14/0.50  ||#
% 0.14/0.50  
% 0.14/0.50  ; Summary of computation:
% 0.14/0.50  ;      1471 formulas have been input or derived (from 119 formulas).
% 0.14/0.50  ;       322 (22%) were retained.  Of these,
% 0.14/0.50  ;            4 ( 1%) were simplified or subsumed later,
% 0.14/0.50  ;          318 (99%) are still being kept.
% 0.14/0.50  ; 
% 0.14/0.50  ; Run time in seconds excluding printing time:
% 0.14/0.50  ;     0.002   2%   Read assertion file          (1 call)
% 0.14/0.50  ;     0.001   1%   Assert                       (15 calls)
% 0.14/0.50  ;     0.024  23%   Process new row              (1,156 calls)
% 0.14/0.50  ;     0.033  32%   Resolution                   (236 calls)
% 0.14/0.50  ;     0.001   1%   Paramodulation               (118 calls)
% 0.14/0.50  ;     0.000   0%   Factoring                    (5 calls)
% 0.14/0.50  ;     0.005   5%   Condensing                   (183 calls)
% 0.14/0.50  ;     0.003   3%   Forward subsumption          (183 calls)
% 0.14/0.50  ;     0.002   2%   Backward subsumption         (78 calls)
% 0.14/0.50  ;     0.000   0%   Clause clause subsumption    (228 calls)
% 0.14/0.50  ;     0.011  11%   Forward simplification       (1,155 calls)
% 0.14/0.50  ;     0.001   1%   Backward simplification      (322 calls)
% 0.14/0.50  ;     0.001   1%   Ordering                     (883 calls)
% 0.14/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.14/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.14/0.50  ;     0.020  19%   Other
% 0.14/0.50  ;     0.104        Total
% 0.14/0.50  ;     0.105        Real time
% 0.14/0.50  ; 
% 0.14/0.50  ; Term-hash-array has 449 terms in all.
% 0.14/0.50  ; Feature-vector-row-index has 75 entries (75 at peak, 78 added, 3 deleted).
% 0.14/0.50  ; Feature-vector-row-index has 369 nodes (369 at peak, 404 added, 35 deleted).
% 0.14/0.50  ;  Retrieved 303 possibly forward subsuming rows in 183 calls.
% 0.14/0.50  ;  Retrieved 56 possibly backward subsumed rows in 78 calls.
% 0.14/0.50  ; Path-index has 454 entries (454 at peak, 464 added, 10 deleted).
% 0.14/0.50  ; Path-index has 398 nodes (398 at peak, 401 added, 3 deleted).
% 0.14/0.50  ; Trie-index has 454 entries (454 at peak, 464 added, 10 deleted).
% 0.14/0.50  ; Trie-index has 1,035 nodes (1,035 at peak, 1,051 added, 16 deleted).
% 0.14/0.50  ; Retrieved 1,120 generalization terms in 2,468 calls.
% 0.14/0.50  ; Retrieved 244 instance terms in 243 calls.
% 0.14/0.50  ; Retrieved 24,894 unifiable terms in 3,005 calls.
% 0.14/0.50  ; 
% 0.14/0.50  ; The agenda of rows to process has 13 entries:
% 0.14/0.50  ;     2 with value 15              1 with value 19               1 with value 22
% 0.14/0.50  ;     4 with value 16              1 with value 20               1 with value 23
% 0.14/0.50  ;     2 with value 18              1 with value 21
% 0.14/0.50  ; The agenda of rows to give has 201 entries:
% 0.14/0.50  ;     2 with value (4 10)         11 with value (4 19)           4 with value (4 26)
% 0.14/0.50  ;     1 with value (4 11)         13 with value (4 20)           1 with value (4 29)
% 0.14/0.50  ;     3 with value (4 13)         10 with value (4 21)           1 with value (4 30)
% 0.14/0.50  ;     2 with value (4 14)          9 with value (4 22)           2 with value (4 31)
% 0.14/0.50  ;    37 with value (4 15)          8 with value (4 23)           1 with value (4 32)
% 0.14/0.50  ;    25 with value (4 16)          5 with value (4 24)           1 with value (4 33)
% 0.14/0.50  ;    35 with value (4 17)          5 with value (4 25)           2 with value (4 34)
% 0.14/0.50  ;    23 with value (4 18)
% 0.14/0.50  Evaluation took:
% 0.14/0.50    0.106 seconds of real time
% 0.14/0.50    0.096712 seconds of user run time
% 0.14/0.50    0.009013 seconds of system run time
% 0.14/0.50    0 calls to %EVAL
% 0.14/0.50    0 page faults and
% 0.14/0.50    7,424,520 bytes consed.
% 0.14/0.50  :PROOF-FOUND
% 0.14/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T22:54:02
% 0.14/0.50  :PROOF-FOUND
% 0.14/0.50  * 
%------------------------------------------------------------------------------