TSTP Solution File: SYN570-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 12:01:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   14 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   22 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
    p7(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

cnf(p2_5,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).

cnf(p9_7,negated_conjecture,
    p9(c15,f8(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_7) ).

cnf(p2_8,negated_conjecture,
    p2(c12,f5(c15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(p3_9,negated_conjecture,
    p3(f4(f5(X)),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).

cnf(not_p9_10,negated_conjecture,
    ~ p9(f4(c12),f8(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).

cnf(p3_13,negated_conjecture,
    ( p3(f4(X),f4(Y))
    | ~ p2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).

cnf(p3_17,negated_conjecture,
    ( p3(X,Y)
    | ~ p3(Z,X)
    | ~ p3(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

cnf(p2_18,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).

cnf(p9_19,negated_conjecture,
    ( p9(X,Y)
    | ~ p7(Z,Y)
    | ~ p9(U,Z)
    | ~ p3(U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).

cnf(24,plain,
    p2(f5(c15),c12),
    inference('HYPERRESOLVE',[status(thm)],[p2_18,p2_8,p2_5]) ).

cnf(25,plain,
    ~ p3(c15,f4(c12)),
    inference('UR-RESOLVE',[status(thm)],[p9_19,not_p9_10,p7_2,p9_7]) ).

cnf(28,plain,
    p3(f4(f5(c15)),f4(c12)),
    inference('HYPERRESOLVE',[status(thm)],[p3_13,24]) ).

cnf(30,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p3_17,25,p3_9]),28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n027.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 : Tue Jul 12 04:40:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:40:19
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-12T04:40:19
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.50  ||#
% 0.18/0.50  
% 0.18/0.50  ; Summary of computation:
% 0.18/0.50  ;        75 formulas have been input or derived (from 23 formulas).
% 0.18/0.50  ;        30 (40%) were retained.  Of these,
% 0.18/0.50  ;           30 (100%) are still being kept.
% 0.18/0.50  ; 
% 0.18/0.50  ; Run time in seconds excluding printing time:
% 0.18/0.50  ;     0.004  12%   Read assertion file          (1 call)
% 0.18/0.50  ;     0.000   0%   Assert                       (20 calls)
% 0.18/0.50  ;     0.003   9%   Process new row              (54 calls)
% 0.18/0.50  ;     0.000   0%   Resolution                   (44 calls)
% 0.18/0.50  ;     0.000   0%   Paramodulation               (22 calls)
% 0.18/0.50  ;     0.000   0%   Condensing                   (10 calls)
% 0.18/0.50  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.18/0.50  ;     0.000   0%   Backward subsumption         (10 calls)
% 0.18/0.50  ;     0.001   3%   Forward simplification       (54 calls)
% 0.18/0.50  ;     0.000   0%   Backward simplification      (30 calls)
% 0.18/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.50  ;     0.001   3%   Purity testing               (1 call)
% 0.18/0.50  ;     0.023  72%   Other
% 0.18/0.50  ;     0.032        Total
% 0.18/0.50  ;     0.033        Real time
% 0.18/0.50  ; 
% 0.18/0.50  ; Term-hash-array has 57 terms in all.
% 0.18/0.50  ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.18/0.50  ; Feature-vector-row-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.18/0.50  ;  Retrieved 0 possibly forward subsuming rows in 10 calls.
% 0.18/0.50  ;  Retrieved 0 possibly backward subsumed rows in 10 calls.
% 0.18/0.50  ; Path-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.18/0.50  ; Path-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.18/0.50  ; Trie-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.18/0.50  ; Trie-index has 100 nodes (100 at peak, 100 added, 0 deleted).
% 0.18/0.50  ; Retrieved 60 generalization terms in 66 calls.
% 0.18/0.50  ; Retrieved 20 instance terms in 19 calls.
% 0.18/0.50  ; Retrieved 316 unifiable terms in 130 calls.
% 0.18/0.50  ; 
% 0.18/0.50  ; The agenda of rows to process has 1 entry:
% 0.18/0.50  ;     1 with value 12
% 0.18/0.50  ; The agenda of rows to give has 7 entries:
% 0.18/0.50  ;     1 with value (4 7)           1 with value (4 9)            1 with value (4 11)
% 0.18/0.50  ;     1 with value (4 8)           1 with value (4 10)           2 with value (4 12)
% 0.18/0.50  Evaluation took:
% 0.18/0.50    0.033 seconds of real time
% 0.18/0.50    0.032453 seconds of user run time
% 0.18/0.50    0.001376 seconds of system run time
% 0.18/0.50    0 calls to %EVAL
% 0.18/0.50    0 page faults and
% 0.18/0.50    2,210,408 bytes consed.
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:40:20
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  * 
%------------------------------------------------------------------------------