TSTP Solution File: SEU187+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU187+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:19:57 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   2 nHn;   8 RR)
%            Number of literals    :   18 (   6 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :    7 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ relation(X)
    | Y = relation_dom(X)
    | in('SKOLEMAAAV2'(Y,X),Y)
    | in(ordered_pair('SKOLEMAAAV2'(Y,X),'SKOLEMAAAV3'(Y,X)),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

cnf(10,axiom,
    ( ~ relation(X)
    | Y = relation_rng(X)
    | in('SKOLEMAAAV5'(Y,X),Y)
    | in(ordered_pair('SKOLEMAAAV6'(Y,X),'SKOLEMAAAV5'(Y,X)),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

cnf(13,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).

cnf(17,axiom,
    relation(empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).

cnf(30,negated_conjecture,
    ( relation_dom(empty_set) != empty_set
    | relation_rng(empty_set) != empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_relat_1) ).

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

cnf(37,plain,
    ~ in(X,empty_set),
    inference('UR-RESOLVE',[status(thm)],[32,13]) ).

cnf(65,plain,
    relation_dom(empty_set) = empty_set,
    inference('UR-RESOLVE',[status(thm)],[6,37,17,37]) ).

cnf(66,plain,
    relation_rng(empty_set) != empty_set,
    inference('REWRITE',[status(thm)],[30,65,theory(equality)]) ).

cnf(69,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,37,17,37]),66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 21:45:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 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 2022-06-19T21:45:23
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-19T21:45:23
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.52  ; Declaring unordered_pair to be commutative.
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       110 formulas have been input or derived (from 37 formulas).
% 0.20/0.52  ;        69 (63%) were retained.  Of these,
% 0.20/0.52  ;            9 (13%) were simplified or subsumed later,
% 0.20/0.52  ;           60 (87%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.005  11%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   2%   Assert                       (32 calls)
% 0.20/0.52  ;     0.008  17%   Process new row              (101 calls)
% 0.20/0.52  ;     0.004   9%   Resolution                   (72 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (36 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.52  ;     0.003   7%   Condensing                   (42 calls)
% 0.20/0.52  ;     0.001   2%   Forward subsumption          (42 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (38 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (24 calls)
% 0.20/0.52  ;     0.001   2%   Forward simplification       (99 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (69 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (97 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.023  50%   Other
% 0.20/0.52  ;     0.046        Total
% 0.20/0.52  ;     0.048        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 145 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 34 entries (37 at peak, 38 added, 4 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 127 nodes (139 at peak, 140 added, 13 deleted).
% 0.20/0.52  ;  Retrieved 20 possibly forward subsuming rows in 42 calls.
% 0.20/0.52  ;  Retrieved 10 possibly backward subsumed rows in 38 calls.
% 0.20/0.52  ; Path-index has 140 entries (145 at peak, 153 added, 13 deleted).
% 0.20/0.52  ; Path-index has 423 nodes (426 at peak, 434 added, 11 deleted).
% 0.20/0.52  ; Trie-index has 140 entries (145 at peak, 153 added, 13 deleted).
% 0.20/0.52  ; Trie-index has 437 nodes (446 at peak, 456 added, 19 deleted).
% 0.20/0.52  ; Retrieved 20 generalization terms in 95 calls.
% 0.20/0.52  ; Retrieved 30 instance terms in 30 calls.
% 0.20/0.52  ; Retrieved 1,639 unifiable terms in 332 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 2 entries:
% 0.20/0.52  ;     2 with value 13
% 0.20/0.52  ; The agenda of input rows to give has 1 entry:
% 0.20/0.52  ;     1 with value 6
% 0.20/0.52  ; The agenda of rows to give has 26 entries:
% 0.20/0.52  ;     2 with value (4 6)           5 with value (4 12)           1 with value (4 20)
% 0.20/0.52  ;     2 with value (4 7)           1 with value (4 14)           2 with value (4 26)
% 0.20/0.52  ;     2 with value (4 8)           2 with value (4 16)           4 with value (4 34)
% 0.20/0.52  ;     2 with value (4 10)          3 with value (4 19)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.048 seconds of real time
% 0.20/0.52    0.044188 seconds of user run time
% 0.20/0.52    0.004233 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,755,192 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T21:45:23
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------