TSTP Solution File: SEU083+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU083+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:19:03 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(40,axiom,
    ( ~ finite(X)
    | ~ finite(Y)
    | finite(set_union2(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finset_1) ).

cnf(102,negated_conjecture,
    finite('SKOLEMAAAV27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).

cnf(103,negated_conjecture,
    finite('SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).

cnf(104,negated_conjecture,
    ~ finite(set_union2('SKOLEMAAAV27','SKOLEMAAAV28')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).

cnf(270,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[40,103,102,104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU083+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 08:12:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 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 2022-06-19T08:12:44
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-19T08:12:44
% 0.21/0.50  
% 0.21/0.50  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.50  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.50  WARNING:
% 0.21/0.50     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |being_limit_ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |transfinite_sequence| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |ordinal_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |function_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50  WARNING:
% 0.21/0.50     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.55  ; Declaring set_union2 to be commutative.
% 0.21/0.55  
% 0.21/0.55  #||
% 0.21/0.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55  % SZS output start Refutation
% See solution above
% 0.21/0.55  ||#
% 0.21/0.55  
% 0.21/0.55  ; Summary of computation:
% 0.21/0.55  ;       708 formulas have been input or derived (from 99 formulas).
% 0.21/0.55  ;       270 (38%) were retained.  Of these,
% 0.21/0.55  ;           49 (18%) were simplified or subsumed later,
% 0.21/0.55  ;          221 (82%) are still being kept.
% 0.21/0.55  ; 
% 0.21/0.55  ; Run time in seconds excluding printing time:
% 0.21/0.55  ;     0.011  15%   Read assertion file          (1 call)
% 0.21/0.55  ;     0.003   4%   Assert                       (62 calls)
% 0.21/0.55  ;     0.015  21%   Process new row              (667 calls)
% 0.21/0.55  ;     0.008  11%   Resolution                   (196 calls)
% 0.21/0.55  ;     0.000   0%   Paramodulation               (98 calls)
% 0.21/0.55  ;     0.000   0%   Factoring                    (3 calls)
% 0.21/0.55  ;     0.000   0%   Condensing                   (48 calls)
% 0.21/0.55  ;     0.000   0%   Forward subsumption          (48 calls)
% 0.21/0.55  ;     0.000   0%   Backward subsumption         (43 calls)
% 0.21/0.55  ;     0.002   3%   Clause clause subsumption    (16 calls)
% 0.21/0.55  ;     0.004   6%   Forward simplification       (628 calls)
% 0.21/0.55  ;     0.004   6%   Backward simplification      (270 calls)
% 0.21/0.55  ;     0.000   0%   Ordering                     (38 calls)
% 0.21/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.55  ;     0.002   3%   Purity testing               (1 call)
% 0.21/0.55  ;     0.023  32%   Other
% 0.21/0.55  ;     0.072        Total
% 0.21/0.55  ;     0.074        Real time
% 0.21/0.55  ; 
% 0.21/0.55  ; Term-hash-array has 371 terms in all.
% 0.21/0.55  ; Feature-vector-row-index has 39 entries (39 at peak, 43 added, 4 deleted).
% 0.21/0.55  ; Feature-vector-row-index has 89 nodes (89 at peak, 93 added, 4 deleted).
% 0.21/0.55  ;  Retrieved 9 possibly forward subsuming rows in 48 calls.
% 0.21/0.55  ;  Retrieved 7 possibly backward subsumed rows in 43 calls.
% 0.21/0.55  ; Path-index has 350 entries (350 at peak, 398 added, 48 deleted).
% 0.21/0.55  ; Path-index has 385 nodes (385 at peak, 431 added, 46 deleted).
% 0.21/0.55  ; Trie-index has 350 entries (350 at peak, 398 added, 48 deleted).
% 0.21/0.55  ; Trie-index has 514 nodes (514 at peak, 579 added, 65 deleted).
% 0.21/0.55  ; Retrieved 501 generalization terms in 823 calls.
% 0.21/0.55  ; Retrieved 234 instance terms in 226 calls.
% 0.21/0.55  ; Retrieved 2,487 unifiable terms in 829 calls.
% 0.21/0.55  ; 
% 0.21/0.55  ; The agenda of rows to process has 29 entries:
% 0.21/0.55  ;     4 with value 4               6 with value 12               1 with value 16
% 0.21/0.55  ;    18 with value 7
% 0.21/0.55  ; The agenda of input rows to give has 2 entries:
% 0.21/0.55  ;     1 with value 13              1 with value 14
% 0.21/0.55  ; The agenda of rows to give has 142 entries:
% 0.21/0.55  ;     1 with value (4 4)          20 with value (4 8)            4 with value (4 11)
% 0.21/0.55  ;     9 with value (4 5)           7 with value (4 9)            1 with value (4 13)
% 0.21/0.55  ;    40 with value (4 6)           4 with value (4 10)           1 with value (4 16)
% 0.21/0.55  ;    55 with value (4 7)
% 0.21/0.55  Evaluation took:
% 0.21/0.55    0.074 seconds of real time
% 0.21/0.55    0.063838 seconds of user run time
% 0.21/0.55    0.010209 seconds of system run time
% 0.21/0.55    0 calls to %EVAL
% 0.21/0.55    0 page faults and
% 0.21/0.55    3,639,960 bytes consed.
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:12:44
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  * 
%------------------------------------------------------------------------------