TSTP Solution File: SEU294+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:21:00 EDT 2022

% Result   : Theorem 0.13s 0.44s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ finite(X)
    | ~ element(Y,powerset(X))
    | finite(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

cnf(55,negated_conjecture,
    subset('SKOLEMAAAU20','SKOLEMAAAU21'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(56,negated_conjecture,
    finite('SKOLEMAAAU21'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(57,negated_conjecture,
    ~ finite('SKOLEMAAAU20'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(61,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

cnf(140,plain,
    element('SKOLEMAAAU20',powerset('SKOLEMAAAU21')),
    inference('HYPERRESOLVE',[status(thm)],[61,55]) ).

cnf(152,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,56,57]),140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.09  % Command  : run-snark %s %d
% 0.09/0.28  % Computer : n011.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Mon Jun 20 04:30:39 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.36  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  * 
% 0.13/0.37  * 
% 0.13/0.38  #<PACKAGE "SNARK-USER">
% 0.13/0.38  * 
% 0.13/0.38  SNARK-TPTP-OPTIONS
% 0.13/0.38  * 
% 0.13/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38   (USE-FACTORING :POS)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38  * 
% 0.13/0.38  "."
% 0.13/0.38  * 
% 0.13/0.38  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T04:30:39
% 0.13/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-20T04:30:39
% 0.13/0.40  WARNING:
% 0.13/0.40     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.40  WARNING:
% 0.13/0.40     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.40  WARNING:
% 0.13/0.40     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.40  WARNING:
% 0.13/0.40     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.40  WARNING:
% 0.13/0.40     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.44  
% 0.13/0.44  
% 0.13/0.44  #||
% 0.13/0.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44  % SZS output start Refutation
% See solution above
% 0.13/0.44  ||#
% 0.13/0.44  
% 0.13/0.44  ; Summary of computation:
% 0.13/0.44  ;       335 formulas have been input or derived (from 66 formulas).
% 0.13/0.44  ;       152 (45%) were retained.  Of these,
% 0.13/0.44  ;           32 (21%) were simplified or subsumed later,
% 0.13/0.44  ;          120 (79%) are still being kept.
% 0.13/0.44  ; 
% 0.13/0.44  ; Run time in seconds:
% 0.13/0.45  ;     0.009  14%   Read assertion file          (1 call)
% 0.13/0.45  ;     0.001   2%   Assert                       (48 calls)
% 0.13/0.45  ;     0.010  16%   Process new row              (315 calls)
% 0.13/0.45  ;     0.004   6%   Resolution                   (130 calls)
% 0.13/0.45  ;     0.000   0%   Paramodulation               (65 calls)
% 0.13/0.45  ;     0.000   0%   Factoring                    (3 calls)
% 0.13/0.45  ;     0.001   2%   Condensing                   (33 calls)
% 0.13/0.45  ;     0.000   0%   Forward subsumption          (33 calls)
% 0.13/0.45  ;     0.000   0%   Backward subsumption         (31 calls)
% 0.13/0.45  ;     0.001   2%   Clause clause subsumption    (6 calls)
% 0.13/0.45  ;     0.004   6%   Forward simplification       (276 calls)
% 0.13/0.45  ;     0.001   2%   Backward simplification      (152 calls)
% 0.13/0.45  ;     0.000   0%   Ordering                     (18 calls)
% 0.13/0.45  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.45  ;     0.002   3%   Purity testing               (1 call)
% 0.13/0.45  ;     0.031  48%   Other
% 0.13/0.45  ;     0.064        Total
% 0.13/0.45  ;     0.064        Real time
% 0.13/0.45  ; 
% 0.13/0.45  ; Term-hash-array has 187 terms in all.
% 0.13/0.45  ; Feature-vector-row-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.13/0.45  ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.13/0.45  ;  Retrieved 3 possibly forward subsuming rows in 33 calls.
% 0.13/0.45  ;  Retrieved 3 possibly backward subsumed rows in 31 calls.
% 0.13/0.45  ; Path-index has 168 entries (168 at peak, 200 added, 32 deleted).
% 0.13/0.45  ; Path-index has 236 nodes (236 at peak, 268 added, 32 deleted).
% 0.13/0.45  ; Trie-index has 168 entries (168 at peak, 200 added, 32 deleted).
% 0.13/0.45  ; Trie-index has 263 nodes (263 at peak, 311 added, 48 deleted).
% 0.13/0.45  ; Retrieved 130 generalization terms in 265 calls.
% 0.13/0.45  ; Retrieved 139 instance terms in 120 calls.
% 0.13/0.45  ; Retrieved 1,164 unifiable terms in 440 calls.
% 0.13/0.45  ; 
% 0.13/0.45  ; The agenda of rows to process has 12 entries:
% 0.13/0.45  ;     1 with value 7               4 with value 9                2 with value 16
% 0.13/0.45  ;     4 with value 8               1 with value 13
% 0.13/0.45  ; The agenda of input rows to give has 2 entries:
% 0.13/0.45  ;     1 with value 13              1 with value 14
% 0.13/0.45  ; The agenda of rows to give has 67 entries:
% 0.13/0.45  ;     2 with value (4 4)          10 with value (4 7)            4 with value (4 10)
% 0.13/0.45  ;     6 with value (4 5)          13 with value (4 8)            4 with value (4 11)
% 0.13/0.45  ;    27 with value (4 6)           1 with value (4 9)
% 0.13/0.45  Evaluation took:
% 0.13/0.45    0.066 seconds of real time
% 0.13/0.45    0.056131 seconds of user run time
% 0.13/0.45    0.008887 seconds of system run time
% 0.13/0.45    0 calls to %EVAL
% 0.13/0.45    0 page faults and
% 0.13/0.45    2,759,184 bytes consed.
% 0.13/0.45  :PROOF-FOUND
% 0.13/0.45  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T04:30:39
% 0.13/0.45  :PROOF-FOUND
% 0.13/0.45  * 
%------------------------------------------------------------------------------