TSTP Solution File: SEU173+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 14:19:49 EDT 2022

% Result   : Theorem 0.37s 0.54s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   2 nHn;  11 RR)
%            Number of literals    :   19 (   1 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X != powerset(Y)
    | in(Z,X)
    | ~ subset(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

cnf(7,axiom,
    ( empty(X)
    | element(Y,X)
    | ~ in(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).

cnf(11,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV2'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(12,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV2'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(14,axiom,
    ~ empty(powerset(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).

cnf(16,negated_conjecture,
    ( ~ in(X,'SKOLEMAAAV4')
    | in(X,'SKOLEMAAAV5') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).

cnf(17,negated_conjecture,
    ~ element('SKOLEMAAAV4',powerset('SKOLEMAAAV5')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).

cnf(45,plain,
    ~ in('SKOLEMAAAV4',powerset('SKOLEMAAAV5')),
    inference('UR-RESOLVE',[status(thm)],[7,14,17]) ).

cnf(63,plain,
    ~ subset('SKOLEMAAAV4','SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[3,45,theory(equality)]) ).

cnf(65,plain,
    in('SKOLEMAAAV2'('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV4'),
    inference('HYPERRESOLVE',[status(thm)],[63,11]) ).

cnf(66,plain,
    ~ in('SKOLEMAAAV2'('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[12,63]) ).

cnf(119,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,65]),66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n005.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 : Sun Jun 19 16:14:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T16:14:53
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-19T16:14:53
% 0.37/0.54  
% 0.37/0.54  
% 0.37/0.54  #||
% 0.37/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.54  % SZS output start Refutation
% See solution above
% 0.37/0.54  ||#
% 0.37/0.54  
% 0.37/0.54  ; Summary of computation:
% 0.37/0.54  ;       276 formulas have been input or derived (from 65 formulas).
% 0.37/0.54  ;       119 (43%) were retained.  Of these,
% 0.37/0.54  ;            5 ( 4%) were simplified or subsumed later,
% 0.37/0.54  ;          114 (96%) are still being kept.
% 0.37/0.54  ; 
% 0.37/0.54  ; Run time in seconds excluding printing time:
% 0.37/0.54  ;     0.003   6%   Read assertion file          (1 call)
% 0.37/0.54  ;     0.001   2%   Assert                       (19 calls)
% 0.37/0.54  ;     0.009  18%   Process new row              (253 calls)
% 0.37/0.54  ;     0.005  10%   Resolution                   (128 calls)
% 0.37/0.54  ;     0.000   0%   Paramodulation               (64 calls)
% 0.37/0.54  ;     0.000   0%   Factoring                    (4 calls)
% 0.37/0.54  ;     0.000   0%   Condensing                   (32 calls)
% 0.37/0.54  ;     0.000   0%   Forward subsumption          (32 calls)
% 0.37/0.54  ;     0.000   0%   Backward subsumption         (31 calls)
% 0.37/0.54  ;     0.000   0%   Clause clause subsumption    (11 calls)
% 0.37/0.54  ;     0.002   4%   Forward simplification       (231 calls)
% 0.37/0.54  ;     0.002   4%   Backward simplification      (119 calls)
% 0.37/0.54  ;     0.000   0%   Ordering                     (109 calls)
% 0.37/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.55  ;     0.029  57%   Other
% 0.37/0.55  ;     0.051        Total
% 0.37/0.55  ;     0.053        Real time
% 0.37/0.55  ; 
% 0.37/0.55  ; Term-hash-array has 160 terms in all.
% 0.37/0.55  ; Feature-vector-row-index has 30 entries (31 at peak, 31 added, 1 deleted).
% 0.37/0.55  ; Feature-vector-row-index has 96 nodes (104 at peak, 104 added, 8 deleted).
% 0.37/0.55  ;  Retrieved 10 possibly forward subsuming rows in 32 calls.
% 0.37/0.55  ;  Retrieved 1 possibly backward subsumed row in 31 calls.
% 0.37/0.55  ; Path-index has 161 entries (161 at peak, 167 added, 6 deleted).
% 0.37/0.55  ; Path-index has 293 nodes (293 at peak, 299 added, 6 deleted).
% 0.37/0.55  ; Trie-index has 161 entries (161 at peak, 167 added, 6 deleted).
% 0.37/0.55  ; Trie-index has 371 nodes (371 at peak, 383 added, 12 deleted).
% 0.37/0.55  ; Retrieved 161 generalization terms in 263 calls.
% 0.37/0.55  ; Retrieved 101 instance terms in 87 calls.
% 0.37/0.55  ; Retrieved 2,045 unifiable terms in 673 calls.
% 0.37/0.55  ; 
% 0.37/0.55  ; The agenda of rows to process has 5 entries:
% 0.37/0.55  ;     3 with value 11              1 with value 14               1 with value 18
% 0.37/0.55  ; The agenda of rows to give has 53 entries:
% 0.37/0.55  ;     1 with value (4 7)           2 with value (4 13)           1 with value (4 19)
% 0.37/0.55  ;     2 with value (4 8)           4 with value (4 14)           1 with value (4 20)
% 0.37/0.55  ;    10 with value (4 10)          5 with value (4 15)           1 with value (4 22)
% 0.37/0.55  ;    11 with value (4 11)          3 with value (4 16)           1 with value (4 30)
% 0.37/0.55  ;     9 with value (4 12)          2 with value (4 18)
% 0.37/0.55  Evaluation took:
% 0.37/0.55    0.053 seconds of real time
% 0.37/0.55    0.046271 seconds of user run time
% 0.37/0.55    0.007068 seconds of system run time
% 0.37/0.55    0 calls to %EVAL
% 0.37/0.55    0 page faults and
% 0.37/0.55    2,944,088 bytes consed.
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T16:14:53
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  * 
%------------------------------------------------------------------------------