TSTP Solution File: PRO010+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PRO010+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 : Mon Jul 18 17:53:19 EDT 2022

% Result   : Theorem 0.37s 0.55s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   2 nHn;  10 RR)
%            Number of literals    :   21 (   2 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(14,axiom,
    ( ~ occurrence_of(X,Y)
    | ~ occurrence_of(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

cnf(15,axiom,
    ( ~ occurrence_of(X,Y)
    | ~ leaf_occ(Z,X)
    | ~ min_precedes(Z,U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

cnf(65,axiom,
    ( ~ occurrence_of(X,tptp0)
    | leaf_occ('SKOLEMAAAV15'(X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

cnf(76,axiom,
    tptp1 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).

cnf(77,negated_conjecture,
    occurrence_of('SKOLEMAAAV16',tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(80,negated_conjecture,
    ( ~ leaf_occ(X,'SKOLEMAAAV16')
    | occurrence_of(X,tptp1)
    | min_precedes(Y,'SKOLEMAAAV18'(Y),tptp0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(84,negated_conjecture,
    ( ~ leaf_occ(X,'SKOLEMAAAV16')
    | min_precedes(Y,'SKOLEMAAAV17'(Y),tptp0)
    | occurrence_of(X,tptp2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(92,plain,
    leaf_occ('SKOLEMAAAV15'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
    inference('HYPERRESOLVE',[status(thm)],[65,77]) ).

cnf(124,plain,
    ~ min_precedes('SKOLEMAAAV15'('SKOLEMAAAV16'),X,tptp0),
    inference('UR-RESOLVE',[status(thm)],[15,92,77]) ).

cnf(162,plain,
    occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp1),
    inference('UR-RESOLVE',[status(thm)],[80,124,92]) ).

cnf(163,plain,
    occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp2),
    inference('UR-RESOLVE',[status(thm)],[84,124,92]) ).

cnf(176,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[14,162,76]),163]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PRO010+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n006.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 : Mon Jun 13 01:27:27 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 2022-06-13T01:27:27
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-13T01:27:27
% 0.19/0.50  WARNING:
% 0.19/0.50     |activity| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.55  
% 0.37/0.55  
% 0.37/0.55  #||
% 0.37/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55  % SZS output start Refutation
% See solution above
% 0.37/0.55  ||#
% 0.37/0.55  
% 0.37/0.55  ; Summary of computation:
% 0.37/0.55  ;       352 formulas have been input or derived (from 138 formulas).
% 0.37/0.55  ;       176 (50%) were retained.  Of these,
% 0.37/0.55  ;           23 (13%) were simplified or subsumed later,
% 0.37/0.55  ;          153 (87%) are still being kept.
% 0.37/0.55  ; 
% 0.37/0.55  ; Run time in seconds excluding printing time:
% 0.37/0.55  ;     0.011  14%   Read assertion file          (1 call)
% 0.37/0.55  ;     0.002   3%   Assert                       (46 calls)
% 0.37/0.55  ;     0.010  13%   Process new row              (273 calls)
% 0.37/0.55  ;     0.018  24%   Resolution                   (274 calls)
% 0.37/0.55  ;     0.000   0%   Paramodulation               (137 calls)
% 0.37/0.55  ;     0.002   3%   Condensing                   (89 calls)
% 0.37/0.55  ;     0.001   1%   Forward subsumption          (89 calls)
% 0.37/0.55  ;     0.001   1%   Backward subsumption         (86 calls)
% 0.37/0.55  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.37/0.55  ;     0.002   3%   Forward simplification       (256 calls)
% 0.37/0.55  ;     0.004   5%   Backward simplification      (176 calls)
% 0.37/0.55  ;     0.000   0%   Ordering                     (30 calls)
% 0.37/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.55  ;     0.025  33%   Other
% 0.37/0.55  ;     0.076        Total
% 0.37/0.55  ;     0.079        Real time
% 0.37/0.55  ; 
% 0.37/0.55  ; Term-hash-array has 223 terms in all.
% 0.37/0.55  ; Feature-vector-row-index has 75 entries (81 at peak, 86 added, 11 deleted).
% 0.37/0.55  ; Feature-vector-row-index has 202 nodes (250 at peak, 273 added, 71 deleted).
% 0.37/0.55  ;  Retrieved 15 possibly forward subsuming rows in 89 calls.
% 0.37/0.55  ;  Retrieved 19 possibly backward subsumed rows in 86 calls.
% 0.37/0.55  ; Path-index has 212 entries (217 at peak, 231 added, 19 deleted).
% 0.37/0.55  ; Path-index has 494 nodes (514 at peak, 544 added, 50 deleted).
% 0.37/0.55  ; Trie-index has 212 entries (217 at peak, 231 added, 19 deleted).
% 0.37/0.55  ; Trie-index has 434 nodes (472 at peak, 513 added, 79 deleted).
% 0.37/0.55  ; Retrieved 71 generalization terms in 192 calls.
% 0.37/0.55  ; Retrieved 89 instance terms in 89 calls.
% 0.37/0.55  ; Retrieved 8,998 unifiable terms in 2,208 calls.
% 0.37/0.55  ; 
% 0.37/0.55  ; The agenda of rows to process has 5 entries:
% 0.37/0.55  ;     3 with value 10              1 with value 16               1 with value 17
% 0.37/0.55  ; The agenda of rows to give has 25 entries:
% 0.37/0.55  ;     2 with value (4 9)           5 with value (4 12)           2 with value (4 15)
% 0.37/0.55  ;     7 with value (4 10)          2 with value (4 13)           1 with value (4 16)
% 0.37/0.55  ;     4 with value (4 11)          1 with value (4 14)           1 with value (4 18)
% 0.37/0.55  Evaluation took:
% 0.37/0.55    0.08 seconds of real time
% 0.37/0.55    0.064941 seconds of user run time
% 0.37/0.55    0.014856 seconds of system run time
% 0.37/0.55    0 calls to %EVAL
% 0.37/0.55    0 page faults and
% 0.37/0.55    4,204,736 bytes consed.
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T01:27:27
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  * 
%------------------------------------------------------------------------------