TSTP Solution File: SYN354+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN354+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 11:59:40 EDT 2022

% Result   : Theorem 0.14s 0.42s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   1 nHn;   7 RR)
%            Number of literals    :   15 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   2 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   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    big_f('SKOLEMAAAR1','SKOLEMAAAR2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_20_1) ).

cnf(3,negated_conjecture,
    ( ~ big_g('SKOLEMAAAR2','SKOLEMAAAR3'(X,Y))
    | ~ big_g(X,'SKOLEMAAAR3'(X,Y))
    | ~ big_f(Y,X)
    | big_f('SKOLEMAAAR2',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_20_1) ).

cnf(4,negated_conjecture,
    ( big_g('SKOLEMAAAR2','SKOLEMAAAR3'(X,Y))
    | big_g(X,'SKOLEMAAAR3'(X,Y))
    | ~ big_f(Y,X)
    | big_f('SKOLEMAAAR2',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_20_1) ).

cnf(7,negated_conjecture,
    ( ~ big_f('SKOLEMAAAR1',X)
    | ~ big_f('SKOLEMAAAR2',X)
    | ~ big_f(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_20_1) ).

cnf(8,plain,
    ~ big_f('SKOLEMAAAR2','SKOLEMAAAR2'),
    inference('UR-RESOLVE',[status(thm)],[7,1]) ).

cnf(9,plain,
    big_g('SKOLEMAAAR2','SKOLEMAAAR3'('SKOLEMAAAR2','SKOLEMAAAR1')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,1]),8]) ).

cnf(10,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,8,1]),9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN354+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.10  % Command  : run-snark %s %d
% 0.09/0.30  % Computer : n025.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Tue Jul 12 07:23:03 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.14/0.39  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  * 
% 0.14/0.39  * 
% 0.14/0.40  #<PACKAGE "SNARK-USER">
% 0.14/0.40  * 
% 0.14/0.40  SNARK-TPTP-OPTIONS
% 0.14/0.40  * 
% 0.14/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.40   (USE-FACTORING :POS)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.40  * 
% 0.14/0.40  "."
% 0.14/0.40  * 
% 0.14/0.40  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T07:23:03
% 0.14/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-12T07:23:03
% 0.14/0.42  
% 0.14/0.42  
% 0.14/0.42  #||
% 0.14/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42  % SZS output start Refutation
% See solution above
% 0.14/0.42  ||#
% 0.14/0.42  
% 0.14/0.42  ; Summary of computation:
% 0.14/0.42  ;        11 formulas have been input or derived (from 9 formulas).
% 0.14/0.42  ;        10 (91%) were retained.  Of these,
% 0.14/0.42  ;           10 (100%) are still being kept.
% 0.14/0.42  ; 
% 0.14/0.42  ; Run time in seconds excluding printing time:
% 0.14/0.42  ;     0.002  10%   Read assertion file          (1 call)
% 0.14/0.42  ;     0.000   0%   Assert                       (1 call)
% 0.14/0.42  ;     0.001   5%   Process new row              (11 calls)
% 0.14/0.42  ;     0.000   0%   Resolution                   (16 calls)
% 0.14/0.42  ;     0.000   0%   Paramodulation               (8 calls)
% 0.14/0.42  ;     0.000   0%   Condensing                   (5 calls)
% 0.14/0.42  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.14/0.42  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.14/0.42  ;     0.000   0%   Forward simplification       (11 calls)
% 0.14/0.42  ;     0.000   0%   Backward simplification      (10 calls)
% 0.14/0.42  ;     0.000   0%   Ordering                     (2 calls)
% 0.14/0.42  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.14/0.42  ;     0.000   0%   Purity testing               (1 call)
% 0.14/0.42  ;     0.018  86%   Other
% 0.14/0.42  ;     0.021        Total
% 0.14/0.42  ;     0.024        Real time
% 0.14/0.42  ; 
% 0.14/0.42  ; Term-hash-array has 13 terms in all.
% 0.14/0.42  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.14/0.42  ; Feature-vector-row-index has 24 nodes (24 at peak, 24 added, 0 deleted).
% 0.14/0.42  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.14/0.42  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.14/0.42  ; Path-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.14/0.42  ; Path-index has 32 nodes (32 at peak, 32 added, 0 deleted).
% 0.14/0.42  ; Trie-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.14/0.42  ; Trie-index has 30 nodes (30 at peak, 30 added, 0 deleted).
% 0.14/0.42  ; Retrieved 3 generalization terms in 20 calls.
% 0.14/0.42  ; Retrieved 4 instance terms in 4 calls.
% 0.14/0.42  ; Retrieved 83 unifiable terms in 49 calls.
% 0.14/0.42  ; 
% 0.14/0.42  ; The agenda of rows to give has 1 entry:
% 0.14/0.42  ;     1 with value (4 8)
% 0.14/0.42  Evaluation took:
% 0.14/0.42    0.024 seconds of real time
% 0.14/0.42    0.023587 seconds of user run time
% 0.14/0.42    3.55e-4 seconds of system run time
% 0.14/0.42    0 calls to %EVAL
% 0.14/0.42    0 page faults and
% 0.14/0.42    1,743,936 bytes consed.
% 0.14/0.42  :PROOF-FOUND
% 0.14/0.42  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T07:23:03
% 0.14/0.42  :PROOF-FOUND
% 0.14/0.42  * 
%------------------------------------------------------------------------------