TSTP Solution File: NUM388+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 : Mon Jul 18 14:10:11 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  10 unt;   1 nHn;  16 RR)
%            Number of literals    :   25 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   12 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ ordinal(X)
    | epsilon_transitive(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).

cnf(5,axiom,
    ( ~ epsilon_transitive(X)
    | ~ in(Y,X)
    | subset(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).

cnf(20,negated_conjecture,
    ordinal('SKOLEMAAAV15'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_ordinal1) ).

cnf(22,negated_conjecture,
    in('SKOLEMAAAV16','SKOLEMAAAV14'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_ordinal1) ).

cnf(23,negated_conjecture,
    in('SKOLEMAAAV14','SKOLEMAAAV15'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_ordinal1) ).

cnf(24,negated_conjecture,
    ~ in('SKOLEMAAAV16','SKOLEMAAAV15'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_ordinal1) ).

cnf(26,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

cnf(28,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

cnf(29,axiom,
    ( ~ in(X,Y)
    | ~ element(Y,powerset(Z))
    | element(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).

cnf(32,axiom,
    ( ~ in(X,Y)
    | ~ empty(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

cnf(34,plain,
    epsilon_transitive('SKOLEMAAAV15'),
    inference('HYPERRESOLVE',[status(thm)],[2,20]) ).

cnf(41,plain,
    ~ empty('SKOLEMAAAV15'),
    inference('UR-RESOLVE',[status(thm)],[32,23]) ).

cnf(60,plain,
    subset('SKOLEMAAAV14','SKOLEMAAAV15'),
    inference('HYPERRESOLVE',[status(thm)],[5,34,23]) ).

cnf(62,plain,
    ~ element('SKOLEMAAAV16','SKOLEMAAAV15'),
    inference('UR-RESOLVE',[status(thm)],[26,41,24]) ).

cnf(66,plain,
    element('SKOLEMAAAV14',powerset('SKOLEMAAAV15')),
    inference('HYPERRESOLVE',[status(thm)],[28,60]) ).

cnf(68,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[29,62,22]),66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jul  7 10:35:08 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T10:35:08
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-07T10:35:08
% 0.20/0.48  WARNING:
% 0.20/0.48     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.48  WARNING:
% 0.20/0.48     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.48  WARNING:
% 0.20/0.48     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.48  WARNING:
% 0.20/0.48     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.48  WARNING:
% 0.20/0.48     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;       144 formulas have been input or derived (from 52 formulas).
% 0.20/0.51  ;        68 (47%) were retained.  Of these,
% 0.20/0.51  ;            3 ( 4%) were simplified or subsumed later,
% 0.20/0.51  ;           65 (96%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.005  12%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.002   5%   Assert                       (32 calls)
% 0.20/0.51  ;     0.001   2%   Process new row              (132 calls)
% 0.20/0.51  ;     0.004  10%   Resolution                   (102 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (51 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.51  ;     0.001   2%   Condensing                   (19 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (19 calls)
% 0.20/0.51  ;     0.001   2%   Backward subsumption         (19 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.20/0.51  ;     0.001   2%   Forward simplification       (106 calls)
% 0.20/0.51  ;     0.001   2%   Backward simplification      (68 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (23 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.51  ;     0.023  58%   Other
% 0.20/0.51  ;     0.040        Total
% 0.20/0.51  ;     0.042        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 85 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 2 possibly forward subsuming rows in 19 calls.
% 0.20/0.51  ;  Retrieved 1 possibly backward subsumed row in 19 calls.
% 0.20/0.51  ; Path-index has 92 entries (92 at peak, 95 added, 3 deleted).
% 0.20/0.51  ; Path-index has 125 nodes (125 at peak, 128 added, 3 deleted).
% 0.20/0.51  ; Trie-index has 92 entries (92 at peak, 95 added, 3 deleted).
% 0.20/0.51  ; Trie-index has 140 nodes (140 at peak, 143 added, 3 deleted).
% 0.20/0.51  ; Retrieved 49 generalization terms in 104 calls.
% 0.20/0.51  ; Retrieved 52 instance terms in 48 calls.
% 0.20/0.51  ; Retrieved 625 unifiable terms in 322 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 1 entry:
% 0.20/0.51  ;     1 with value 11
% 0.20/0.51  ; The agenda of rows to give has 16 entries:
% 0.20/0.51  ;     1 with value (4 6)           3 with value (4 8)            2 with value (4 10)
% 0.20/0.51  ;     5 with value (4 7)           4 with value (4 9)            1 with value (4 18)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.042 seconds of real time
% 0.20/0.51    0.035989 seconds of user run time
% 0.20/0.51    0.006023 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,689,664 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T10:35:08
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------