TSTP Solution File: SEU118+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 14:19:12 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   20 (   1 equ;  10 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ finite(X)
    | ~ element(Y,powerset(X))
    | finite(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).

cnf(10,axiom,
    ( ~ preboolean(X)
    | X != finite_subsets(Y)
    | in(Z,X)
    | ~ subset(Z,Y)
    | ~ finite(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_finsub_1) ).

cnf(14,axiom,
    preboolean(finite_subsets(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_finsub_1) ).

cnf(47,axiom,
    ( ~ in(X,Y)
    | element(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

cnf(49,negated_conjecture,
    element('SKOLEMAAAV13',powerset('SKOLEMAAAV12')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_finsub_1) ).

cnf(50,negated_conjecture,
    finite('SKOLEMAAAV12'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_finsub_1) ).

cnf(51,negated_conjecture,
    ~ element('SKOLEMAAAV13',finite_subsets('SKOLEMAAAV12')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_finsub_1) ).

cnf(52,axiom,
    ( ~ element(X,powerset(Y))
    | subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

cnf(92,plain,
    ~ in('SKOLEMAAAV13',finite_subsets('SKOLEMAAAV12')),
    inference('UR-RESOLVE',[status(thm)],[47,51]) ).

cnf(109,plain,
    subset('SKOLEMAAAV13','SKOLEMAAAV12'),
    inference('HYPERRESOLVE',[status(thm)],[52,49]) ).

cnf(127,plain,
    finite('SKOLEMAAAV13'),
    inference('HYPERRESOLVE',[status(thm)],[5,50,49]) ).

cnf(153,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,109,14,127,theory(equality)]),92]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 22:23:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T22:23:55
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T22:23:55
% 0.21/0.51  WARNING:
% 0.21/0.51     |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  #||
% 0.21/0.55  % SZS status Theorem for /export/starexec/sandbox2/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  ;       258 formulas have been input or derived (from 65 formulas).
% 0.21/0.55  ;       153 (59%) were retained.  Of these,
% 0.21/0.55  ;            8 ( 5%) were simplified or subsumed later,
% 0.21/0.55  ;          145 (95%) are still being kept.
% 0.21/0.55  ; 
% 0.21/0.55  ; Run time in seconds excluding printing time:
% 0.21/0.55  ;     0.007  13%   Read assertion file          (1 call)
% 0.21/0.55  ;     0.002   4%   Assert                       (33 calls)
% 0.21/0.55  ;     0.006  11%   Process new row              (237 calls)
% 0.21/0.55  ;     0.007  13%   Resolution                   (128 calls)
% 0.21/0.55  ;     0.000   0%   Paramodulation               (64 calls)
% 0.21/0.55  ;     0.000   0%   Factoring                    (5 calls)
% 0.21/0.55  ;     0.000   0%   Condensing                   (62 calls)
% 0.21/0.55  ;     0.000   0%   Forward subsumption          (62 calls)
% 0.21/0.55  ;     0.001   2%   Backward subsumption         (52 calls)
% 0.21/0.55  ;     0.000   0%   Clause clause subsumption    (15 calls)
% 0.21/0.55  ;     0.004   7%   Forward simplification       (226 calls)
% 0.21/0.55  ;     0.002   4%   Backward simplification      (153 calls)
% 0.21/0.55  ;     0.000   0%   Ordering                     (71 calls)
% 0.21/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.55  ;     0.001   2%   Purity testing               (1 call)
% 0.21/0.55  ;     0.025  45%   Other
% 0.21/0.55  ;     0.055        Total
% 0.21/0.55  ;     0.057        Real time
% 0.21/0.55  ; 
% 0.21/0.55  ; Term-hash-array has 226 terms in all.
% 0.21/0.55  ; Feature-vector-row-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.21/0.55  ; Feature-vector-row-index has 166 nodes (166 at peak, 166 added, 0 deleted).
% 0.21/0.55  ;  Retrieved 15 possibly forward subsuming rows in 62 calls.
% 0.21/0.55  ;  Retrieved 1 possibly backward subsumed row in 52 calls.
% 0.21/0.55  ; Path-index has 225 entries (225 at peak, 233 added, 8 deleted).
% 0.21/0.55  ; Path-index has 366 nodes (366 at peak, 374 added, 8 deleted).
% 0.21/0.55  ; Trie-index has 225 entries (225 at peak, 233 added, 8 deleted).
% 0.21/0.55  ; Trie-index has 444 nodes (444 at peak, 462 added, 18 deleted).
% 0.21/0.55  ; Retrieved 80 generalization terms in 263 calls.
% 0.21/0.55  ; Retrieved 125 instance terms in 100 calls.
% 0.21/0.55  ; Retrieved 2,066 unifiable terms in 517 calls.
% 0.21/0.55  ; 
% 0.21/0.55  ; The agenda of rows to process has 3 entries:
% 0.21/0.55  ;     3 with value 8
% 0.21/0.55  ; The agenda of rows to give has 86 entries:
% 0.21/0.55  ;     1 with value (4 5)           7 with value (4 10)           1 with value (4 20)
% 0.21/0.55  ;    16 with value (4 6)          10 with value (4 11)           1 with value (4 21)
% 0.21/0.55  ;    11 with value (4 7)           4 with value (4 13)           2 with value (4 26)
% 0.21/0.55  ;    24 with value (4 8)           2 with value (4 16)           2 with value (4 27)
% 0.21/0.55  ;     5 with value (4 9)
% 0.21/0.55  Evaluation took:
% 0.21/0.55    0.058 seconds of real time
% 0.21/0.55    0.051465 seconds of user run time
% 0.21/0.55    0.005958 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    3,213,232 bytes consed.
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T22:23:55
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  * 
%------------------------------------------------------------------------------