TSTP Solution File: SEU186+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 14:19:56 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   9 unt;   1 nHn;  11 RR)
%            Number of literals    :   17 (   4 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ relation(X)
    | ~ in(Y,X)
    | Y = ordered_pair('SKOLEMAAAV1'(Y),'SKOLEMAAAV2'(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_1) ).

cnf(7,axiom,
    element('SKOLEMAAAV4'(X),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

cnf(20,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

cnf(21,negated_conjecture,
    relation('SKOLEMAAAV9'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relat_1) ).

cnf(22,negated_conjecture,
    ~ in(ordered_pair(X,Y),'SKOLEMAAAV9'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relat_1) ).

cnf(23,negated_conjecture,
    'SKOLEMAAAV9' != empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relat_1) ).

cnf(24,axiom,
    ( ~ empty(X)
    | X = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

cnf(28,plain,
    ~ empty('SKOLEMAAAV9'),
    inference('UR-RESOLVE',[status(thm)],[24,23]) ).

cnf(41,plain,
    in('SKOLEMAAAV4'('SKOLEMAAAV9'),'SKOLEMAAAV9'),
    inference('UR-RESOLVE',[status(thm)],[20,28,7]) ).

cnf(42,plain,
    ~ element(ordered_pair(X,Y),'SKOLEMAAAV9'),
    inference('UR-RESOLVE',[status(thm)],[20,28,22]) ).

cnf(47,plain,
    'SKOLEMAAAV4'('SKOLEMAAAV9') = ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV4'('SKOLEMAAAV9')),'SKOLEMAAAV2'('SKOLEMAAAV4'('SKOLEMAAAV9'))),
    inference('HYPERRESOLVE',[status(thm)],[3,41,21]) ).

cnf(59,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,47,theory(equality)]),7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.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 15:20:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-19T15:20:18
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-19T15:20:18
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.51  ; Declaring unordered_pair to be commutative.
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % 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  ;       151 formulas have been input or derived (from 55 formulas).
% 0.20/0.52  ;        59 (39%) were retained.  Of these,
% 0.20/0.52  ;            4 ( 7%) were simplified or subsumed later,
% 0.20/0.52  ;           55 (93%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.004  10%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   3%   Assert                       (26 calls)
% 0.20/0.52  ;     0.004  10%   Process new row              (122 calls)
% 0.20/0.52  ;     0.004  10%   Resolution                   (108 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (54 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (14 calls)
% 0.20/0.52  ;     0.002   5%   Forward subsumption          (14 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.20/0.52  ;     0.001   3%   Forward simplification       (120 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (59 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (44 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.001   3%   Purity testing               (1 call)
% 0.20/0.52  ;     0.022  56%   Other
% 0.20/0.52  ;     0.039        Total
% 0.20/0.52  ;     0.040        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 88 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 4 possibly forward subsuming rows in 14 calls.
% 0.20/0.52  ;  Retrieved 1 possibly backward subsumed row in 13 calls.
% 0.20/0.52  ; Path-index has 90 entries (90 at peak, 94 added, 4 deleted).
% 0.20/0.52  ; Path-index has 232 nodes (232 at peak, 236 added, 4 deleted).
% 0.20/0.52  ; Trie-index has 90 entries (90 at peak, 94 added, 4 deleted).
% 0.20/0.52  ; Trie-index has 266 nodes (266 at peak, 270 added, 4 deleted).
% 0.20/0.52  ; Retrieved 56 generalization terms in 134 calls.
% 0.20/0.52  ; Retrieved 45 instance terms in 45 calls.
% 0.20/0.52  ; Retrieved 533 unifiable terms in 394 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 5 entries:
% 0.20/0.52  ;     1 with value 10              2 with value 13               1 with value 14
% 0.20/0.52  ;     1 with value 11
% 0.20/0.52  ; The agenda of rows to give has 3 entries:
% 0.20/0.52  ;     1 with value (4 9)           1 with value (4 19)           1 with value (4 20)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.041 seconds of real time
% 0.20/0.52    0.034494 seconds of user run time
% 0.20/0.52    0.006821 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    2,473,072 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T15:20:18
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------