TSTP Solution File: SEU148+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 14:19:30 EDT 2022

% Result   : Theorem 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   3 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( X != singleton(Y)
    | ~ in(Z,X)
    | Z = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

cnf(50,axiom,
    ( ~ subset(singleton(X),Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).

cnf(92,negated_conjecture,
    subset(singleton('SKOLEMAAAV14'),singleton('SKOLEMAAAV15')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).

cnf(93,negated_conjecture,
    'SKOLEMAAAV14' != 'SKOLEMAAAV15',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).

cnf(122,plain,
    in('SKOLEMAAAV14',singleton('SKOLEMAAAV15')),
    inference('HYPERRESOLVE',[status(thm)],[50,92]) ).

cnf(186,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,93,theory(equality)]),122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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 : Mon Jun 20 10:10:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-20T10:10:16
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-20T10:10:16
% 0.21/0.50  
% 0.21/0.50  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.50  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 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  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.50  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.21/0.50  ; Declaring unordered_pair to be commutative.
% 0.21/0.50  ; Declaring set_union2 to be commutative.
% 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/sandbox2/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  ;       500 formulas have been input or derived (from 55 formulas).
% 0.21/0.57  ;       186 (37%) were retained.  Of these,
% 0.21/0.57  ;           18 (10%) were simplified or subsumed later,
% 0.21/0.57  ;          168 (90%) are still being kept.
% 0.21/0.57  ; 
% 0.21/0.57  ; Run time in seconds:
% 0.21/0.57  ;     0.012  14%   Read assertion file          (1 call)
% 0.21/0.57  ;     0.004   5%   Assert                       (71 calls)
% 0.21/0.57  ;     0.013  15%   Process new row              (421 calls)
% 0.21/0.57  ;     0.007   8%   Resolution                   (108 calls)
% 0.21/0.57  ;     0.002   2%   Paramodulation               (54 calls)
% 0.21/0.57  ;     0.000   0%   Factoring                    (4 calls)
% 0.21/0.57  ;     0.002   2%   Condensing                   (144 calls)
% 0.21/0.57  ;     0.005   6%   Forward subsumption          (144 calls)
% 0.21/0.57  ;     0.002   2%   Backward subsumption         (123 calls)
% 0.21/0.57  ;     0.003   3%   Clause clause subsumption    (104 calls)
% 0.21/0.57  ;     0.008   9%   Forward simplification       (420 calls)
% 0.21/0.57  ;     0.002   2%   Backward simplification      (183 calls)
% 0.21/0.57  ;     0.001   1%   Ordering                     (230 calls)
% 0.21/0.57  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.21/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.57  ;     0.026  30%   Other
% 0.21/0.57  ;     0.088        Total
% 0.21/0.57  ;     0.089        Real time
% 0.21/0.57  ; 
% 0.21/0.57  ; Term-hash-array has 264 terms in all.
% 0.21/0.57  ; Feature-vector-row-index has 113 entries (113 at peak, 123 added, 10 deleted).
% 0.21/0.57  ; Feature-vector-row-index has 316 nodes (316 at peak, 337 added, 21 deleted).
% 0.21/0.57  ;  Retrieved 96 possibly forward subsuming rows in 144 calls.
% 0.21/0.57  ;  Retrieved 15 possibly backward subsumed rows in 123 calls.
% 0.21/0.57  ; Path-index has 254 entries (254 at peak, 273 added, 19 deleted).
% 0.21/0.57  ; Path-index has 473 nodes (473 at peak, 484 added, 11 deleted).
% 0.21/0.57  ; Trie-index has 254 entries (254 at peak, 273 added, 19 deleted).
% 0.21/0.57  ; Trie-index has 583 nodes (583 at peak, 614 added, 31 deleted).
% 0.21/0.57  ; Retrieved 616 generalization terms in 830 calls.
% 0.21/0.57  ; Retrieved 107 instance terms in 60 calls.
% 0.21/0.57  ; Retrieved 5,423 unifiable terms in 437 calls.
% 0.21/0.57  ; 
% 0.21/0.57  ; The agenda of rows to process has 39 entries:
% 0.21/0.57  ;     1 with value 7               3 with value 12               2 with value 18
% 0.21/0.57  ;     4 with value 8               1 with value 14               2 with value 21
% 0.21/0.57  ;     2 with value 9               3 with value 15               4 with value 22
% 0.21/0.57  ;     4 with value 10              4 with value 16               1 with value 23
% 0.21/0.57  ;     5 with value 11              1 with value 17               2 with value 24
% 0.21/0.57  ; The agenda of input rows to give has 39 entries:
% 0.21/0.57  ;     7 with value 14              4 with value 18               6 with value 23
% 0.21/0.57  ;     5 with value 15              3 with value 19               2 with value 26
% 0.21/0.57  ;     2 with value 16              4 with value 20               3 with value 31
% 0.21/0.57  ;     1 with value 17              1 with value 22               1 with value 34
% 0.21/0.57  ; The agenda of rows to give has 75 entries:
% 0.21/0.57  ;     4 with value (4 5)           9 with value (4 11)           2 with value (4 16)
% 0.21/0.57  ;     1 with value (4 6)           3 with value (4 12)           8 with value (4 17)
% 0.21/0.57  ;     6 with value (4 7)           8 with value (4 13)           4 with value (4 18)
% 0.21/0.57  ;     3 with value (4 8)           4 with value (4 14)           5 with value (4 19)
% 0.21/0.57  ;     2 with value (4 9)          11 with value (4 15)           1 with value (4 20)
% 0.21/0.57  ;     4 with value (4 10)
% 0.21/0.57  Evaluation took:
% 0.21/0.57    0.089 seconds of real time
% 0.21/0.57    0.079404 seconds of user run time
% 0.21/0.57    0.010062 seconds of system run time
% 0.21/0.57    0 calls to %EVAL
% 0.21/0.57    0 page faults and
% 0.21/0.57    4,085,728 bytes consed.
% 0.21/0.57  :PROOF-FOUND
% 0.21/0.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T10:10:16
% 0.21/0.57  :PROOF-FOUND
% 0.21/0.57  * 
%------------------------------------------------------------------------------