TSTP Solution File: SYN966+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 : Thu Jul 21 12:08:34 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   5 unt;   2 nHn;   9 RR)
%            Number of literals    :   19 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ( ~ eq(X,Y)
    | ~ a_member_of(Z,X)
    | a_member_of(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(2,negated_conjecture,
    ( ~ eq(X,Y)
    | a_member_of(Z,X)
    | ~ a_member_of(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(3,negated_conjecture,
    ( eq(X,Y)
    | ~ a_member_of('SKOLEMAAAV1'(X,Y),X)
    | ~ a_member_of('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(4,negated_conjecture,
    ( eq(X,Y)
    | a_member_of('SKOLEMAAAV1'(X,Y),X)
    | a_member_of('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(5,negated_conjecture,
    eq('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(6,negated_conjecture,
    ~ eq('SKOLEMAAAV3','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(7,plain,
    ( a_member_of('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV3')
    | a_member_of('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[6,4]) ).

cnf(9,plain,
    a_member_of('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[2,7,5]) ).

cnf(10,plain,
    a_member_of('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[1,9,5]) ).

cnf(11,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,9,6]),10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.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 : Mon Jul 11 19:53:02 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  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T19:53:02
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-11T19:53:02
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % 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  ;        20 formulas have been input or derived (from 10 formulas).
% 0.20/0.51  ;        11 (55%) were retained.  Of these,
% 0.20/0.51  ;            1 ( 9%) were simplified or subsumed later,
% 0.20/0.51  ;           10 (91%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   4%   Assert                       (1 call)
% 0.20/0.51  ;     0.000   0%   Process new row              (14 calls)
% 0.20/0.51  ;     0.002   8%   Resolution                   (18 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (9 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (6 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.20/0.51  ;     0.001   4%   Forward simplification       (11 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (11 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (4 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.020  80%   Other
% 0.20/0.51  ;     0.025        Total
% 0.20/0.51  ;     0.027        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 14 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 5 entries (6 at peak, 6 added, 1 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 13 nodes (23 at peak, 23 added, 10 deleted).
% 0.20/0.51  ;  Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.20/0.51  ;  Retrieved 2 possibly backward subsumed rows in 6 calls.
% 0.20/0.51  ; Path-index has 16 entries (16 at peak, 17 added, 1 deleted).
% 0.20/0.51  ; Path-index has 33 nodes (33 at peak, 34 added, 1 deleted).
% 0.20/0.51  ; Trie-index has 16 entries (16 at peak, 17 added, 1 deleted).
% 0.20/0.51  ; Trie-index has 26 nodes (26 at peak, 27 added, 1 deleted).
% 0.20/0.51  ; Retrieved 1 generalization term in 4 calls.
% 0.20/0.51  ; Retrieved 4 instance terms in 4 calls.
% 0.20/0.51  ; Retrieved 184 unifiable terms in 66 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 4 entries:
% 0.20/0.51  ;     1 with value 10              1 with value 17               2 with value 24
% 0.20/0.51  ; The agenda of rows to give has 1 entry:
% 0.20/0.51  ;     1 with value (4 10)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.028 seconds of real time
% 0.20/0.51    0.021974 seconds of user run time
% 0.20/0.51    0.006084 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    1,952,560 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T19:53:02
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------