TSTP Solution File: SYN077+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 11:57:24 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   6 unt;   8 nHn;  14 RR)
%            Number of literals    :   35 (   3 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ big_f(X,'SKOLEMAAAV1'(Y))
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54_1) ).

cnf(2,axiom,
    ( big_f(X,'SKOLEMAAAV1'(Y))
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54_1) ).

cnf(3,negated_conjecture,
    ( ~ big_f(X,'SKOLEMAAAV2')
    | ~ big_f(X,Y)
    | big_f('SKOLEMAAAV3'(Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).

cnf(4,negated_conjecture,
    ( ~ big_f(X,'SKOLEMAAAV2')
    | ~ big_f(X,Y)
    | ~ big_f(Z,Y)
    | ~ big_f(Z,'SKOLEMAAAV3'(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).

cnf(5,negated_conjecture,
    ( big_f(X,'SKOLEMAAAV2')
    | big_f(X,'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).

cnf(6,negated_conjecture,
    ( big_f(X,'SKOLEMAAAV2')
    | ~ big_f(Y,'SKOLEMAAAV4'(X))
    | big_f('SKOLEMAAAV5'(X,Y),'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).

cnf(7,negated_conjecture,
    ( big_f(X,'SKOLEMAAAV2')
    | ~ big_f(Y,'SKOLEMAAAV4'(X))
    | big_f('SKOLEMAAAV5'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).

cnf(8,plain,
    big_f(X,'SKOLEMAAAV1'(X)),
    inference('HYPERRESOLVE',[status(thm)],[2,theory(equality)]) ).

cnf(9,plain,
    ( big_f(X,'SKOLEMAAAV2')
    | big_f('SKOLEMAAAV5'(X,X),X) ),
    inference('HYPERRESOLVE',[status(thm)],[7,5]) ).

cnf(10,plain,
    ( big_f(X,'SKOLEMAAAV2')
    | big_f('SKOLEMAAAV5'(X,X),'SKOLEMAAAV4'(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,5]) ).

cnf(17,plain,
    ( big_f('SKOLEMAAAV2','SKOLEMAAAV2')
    | big_f('SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV2')),'SKOLEMAAAV4'('SKOLEMAAAV2')) ),
    inference('HYPERRESOLVE',[status(thm)],[3,10,9]) ).

cnf(20,plain,
    ( big_f('SKOLEMAAAV2','SKOLEMAAAV2')
    | big_f('SKOLEMAAAV5'('SKOLEMAAAV2','SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV2'))),'SKOLEMAAAV4'('SKOLEMAAAV2')) ),
    inference('HYPERRESOLVE',[status(thm)],[6,17]) ).

cnf(21,plain,
    ( big_f('SKOLEMAAAV2','SKOLEMAAAV2')
    | big_f('SKOLEMAAAV5'('SKOLEMAAAV2','SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV2'))),'SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV2'))) ),
    inference('HYPERRESOLVE',[status(thm)],[7,17]) ).

cnf(33,plain,
    big_f('SKOLEMAAAV2','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[4,21,9,10,20]) ).

cnf(36,plain,
    ~ big_f('SKOLEMAAAV2','SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2'))),
    inference('UR-RESOLVE',[status(thm)],[4,33,8,8]) ).

cnf(37,plain,
    big_f('SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2')),'SKOLEMAAAV1'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[3,33,8]) ).

cnf(41,plain,
    'SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2')) = 'SKOLEMAAAV2',
    inference('HYPERRESOLVE',[status(thm)],[1,37]) ).

cnf(42,plain,
    $false,
    inference('REWRITE',[status(thm)],[36,33,41,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 04:47:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T04:47:14
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-12T04:47:14
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        81 formulas have been input or derived (from 28 formulas).
% 0.19/0.51  ;        42 (52%) were retained.  Of these,
% 0.19/0.51  ;           16 (38%) were simplified or subsumed later,
% 0.19/0.51  ;           26 (62%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.002   5%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (2 calls)
% 0.19/0.51  ;     0.006  15%   Process new row              (63 calls)
% 0.19/0.51  ;     0.004  10%   Resolution                   (54 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (27 calls)
% 0.19/0.51  ;     0.001   3%   Factoring                    (14 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (39 calls)
% 0.19/0.51  ;     0.001   3%   Forward subsumption          (39 calls)
% 0.19/0.51  ;     0.001   3%   Backward subsumption         (31 calls)
% 0.19/0.51  ;     0.001   3%   Clause clause subsumption    (61 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (62 calls)
% 0.19/0.51  ;     0.001   3%   Backward simplification      (42 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (53 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.022  56%   Other
% 0.19/0.51  ;     0.039        Total
% 0.19/0.51  ;     0.043        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 66 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 17 entries (31 at peak, 31 added, 14 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 63 nodes (180 at peak, 180 added, 117 deleted).
% 0.19/0.51  ;  Retrieved 64 possibly forward subsuming rows in 39 calls.
% 0.19/0.51  ;  Retrieved 7 possibly backward subsumed rows in 31 calls.
% 0.19/0.51  ; Path-index has 50 entries (62 at peak, 67 added, 17 deleted).
% 0.19/0.51  ; Path-index has 155 nodes (181 at peak, 188 added, 33 deleted).
% 0.19/0.51  ; Trie-index has 50 entries (62 at peak, 67 added, 17 deleted).
% 0.19/0.51  ; Trie-index has 130 nodes (185 at peak, 198 added, 68 deleted).
% 0.19/0.51  ; Retrieved 19 generalization terms in 81 calls.
% 0.19/0.51  ; Retrieved 11 instance terms in 10 calls.
% 0.19/0.51  ; Retrieved 1,432 unifiable terms in 535 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.51  ;     1 with value 0
% 0.19/0.51  ; The agenda of rows to process has 1 entry:
% 0.19/0.51  ;     1 with value 16
% 0.19/0.51  ; The agenda of rows to give has 8 entries:
% 0.19/0.51  ;     1 with value (4 14)          1 with value (4 21)           1 with value (4 26)
% 0.19/0.51  ;     1 with value (4 17)          1 with value (4 24)           1 with value (4 29)
% 0.19/0.51  ;     1 with value (4 18)          1 with value (4 25)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.043 seconds of real time
% 0.19/0.51    0.035007 seconds of user run time
% 0.19/0.51    0.007775 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    3,373,616 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T04:47:14
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------