TSTP Solution File: PRO011+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PRO011+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (  11 unt;   2 nHn;  16 RR)
%            Number of literals    :   28 (   3 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ occurrence_of(X,Y)
    | ~ occurrence_of(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

cnf(33,axiom,
    ( ~ leaf(X,Y)
    | ~ min_precedes(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

cnf(63,axiom,
    ( ~ leaf_occ(X,Y)
    | occurrence_of(Y,'SKOLEMAAAV15'(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

cnf(65,axiom,
    ( ~ leaf_occ(X,Y)
    | leaf(X,'SKOLEMAAAV15'(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

cnf(73,axiom,
    ( ~ occurrence_of(X,tptp0)
    | leaf_occ('SKOLEMAAAV18'(X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

cnf(85,axiom,
    tptp1 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).

cnf(86,negated_conjecture,
    occurrence_of('SKOLEMAAAV19',tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(90,negated_conjecture,
    ( ~ leaf_occ(X,'SKOLEMAAAV19')
    | occurrence_of(X,tptp1)
    | min_precedes(Y,'SKOLEMAAAV21'(Y),tptp0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(99,negated_conjecture,
    ( ~ leaf_occ(X,'SKOLEMAAAV19')
    | min_precedes(Y,'SKOLEMAAAV20'(Y),tptp0)
    | occurrence_of(X,tptp2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(113,plain,
    leaf_occ('SKOLEMAAAV18'('SKOLEMAAAV19'),'SKOLEMAAAV19'),
    inference('HYPERRESOLVE',[status(thm)],[73,86]) ).

cnf(152,plain,
    occurrence_of('SKOLEMAAAV19','SKOLEMAAAV15'('SKOLEMAAAV19','SKOLEMAAAV18'('SKOLEMAAAV19'))),
    inference('HYPERRESOLVE',[status(thm)],[63,113]) ).

cnf(153,plain,
    leaf('SKOLEMAAAV18'('SKOLEMAAAV19'),'SKOLEMAAAV15'('SKOLEMAAAV19','SKOLEMAAAV18'('SKOLEMAAAV19'))),
    inference('HYPERRESOLVE',[status(thm)],[65,113]) ).

cnf(292,plain,
    'SKOLEMAAAV15'('SKOLEMAAAV19','SKOLEMAAAV18'('SKOLEMAAAV19')) = tptp0,
    inference('HYPERRESOLVE',[status(thm)],[5,152,86]) ).

cnf(293,plain,
    leaf('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
    inference('REWRITE',[status(thm)],[153,292,theory(equality)]) ).

cnf(294,plain,
    ~ min_precedes('SKOLEMAAAV18'('SKOLEMAAAV19'),X,tptp0),
    inference('UR-RESOLVE',[status(thm)],[33,293]) ).

cnf(296,plain,
    occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp1),
    inference('UR-RESOLVE',[status(thm)],[90,294,113]) ).

cnf(297,plain,
    occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp2),
    inference('UR-RESOLVE',[status(thm)],[99,294,113]) ).

cnf(303,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,296,85]),297]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PRO011+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 01:01:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T01:01:39
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-13T01:01:39
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  #||
% 0.19/0.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57  % SZS output start Refutation
% See solution above
% 0.19/0.57  ||#
% 0.19/0.57  
% 0.19/0.57  ; Summary of computation:
% 0.19/0.57  ;       657 formulas have been input or derived (from 196 formulas).
% 0.19/0.57  ;       303 (46%) were retained.  Of these,
% 0.19/0.57  ;           61 (20%) were simplified or subsumed later,
% 0.19/0.57  ;          242 (80%) are still being kept.
% 0.19/0.57  ; 
% 0.19/0.57  ; Run time in seconds excluding printing time:
% 0.19/0.57  ;     0.011  10%   Read assertion file          (1 call)
% 0.19/0.57  ;     0.004   4%   Assert                       (49 calls)
% 0.19/0.57  ;     0.015  14%   Process new row              (533 calls)
% 0.19/0.57  ;     0.032  30%   Resolution                   (390 calls)
% 0.19/0.57  ;     0.000   0%   Paramodulation               (195 calls)
% 0.19/0.57  ;     0.002   2%   Condensing                   (119 calls)
% 0.19/0.57  ;     0.001   1%   Forward subsumption          (119 calls)
% 0.19/0.57  ;     0.002   2%   Backward subsumption         (116 calls)
% 0.19/0.57  ;     0.000   0%   Clause clause subsumption    (40 calls)
% 0.19/0.57  ;     0.004   4%   Forward simplification       (492 calls)
% 0.19/0.57  ;     0.002   2%   Backward simplification      (303 calls)
% 0.19/0.57  ;     0.001   1%   Ordering                     (52 calls)
% 0.19/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.57  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.57  ;     0.032  30%   Other
% 0.19/0.57  ;     0.107        Total
% 0.19/0.57  ;     0.109        Real time
% 0.19/0.57  ; 
% 0.19/0.57  ; Term-hash-array has 368 terms in all.
% 0.19/0.57  ; Feature-vector-row-index has 93 entries (105 at peak, 116 added, 23 deleted).
% 0.19/0.57  ; Feature-vector-row-index has 255 nodes (345 at peak, 383 added, 128 deleted).
% 0.19/0.57  ;  Retrieved 27 possibly forward subsuming rows in 119 calls.
% 0.19/0.57  ;  Retrieved 31 possibly backward subsumed rows in 116 calls.
% 0.19/0.57  ; Path-index has 321 entries (337 at peak, 379 added, 58 deleted).
% 0.19/0.57  ; Path-index has 849 nodes (869 at peak, 944 added, 95 deleted).
% 0.19/0.57  ; Trie-index has 321 entries (337 at peak, 379 added, 58 deleted).
% 0.19/0.57  ; Trie-index has 788 nodes (875 at peak, 995 added, 207 deleted).
% 0.19/0.57  ; Retrieved 191 generalization terms in 463 calls.
% 0.19/0.57  ; Retrieved 195 instance terms in 186 calls.
% 0.19/0.57  ; Retrieved 19,592 unifiable terms in 4,313 calls.
% 0.19/0.57  ; 
% 0.19/0.57  ; The agenda of rows to process has 6 entries:
% 0.19/0.57  ;     3 with value 11              1 with value 17               1 with value 18
% 0.19/0.57  ;     1 with value 12
% 0.19/0.57  ; The agenda of rows to give has 72 entries:
% 0.19/0.57  ;     1 with value (4 8)           5 with value (4 13)           1 with value (4 16)
% 0.19/0.57  ;     1 with value (4 10)         17 with value (4 14)           1 with value (4 21)
% 0.19/0.57  ;    18 with value (4 11)         15 with value (4 15)           2 with value (4 22)
% 0.19/0.57  ;    11 with value (4 12)
% 0.19/0.57  Evaluation took:
% 0.19/0.57    0.109 seconds of real time
% 0.19/0.57    0.104568 seconds of user run time
% 0.19/0.57    0.005264 seconds of system run time
% 0.19/0.57    0 calls to %EVAL
% 0.19/0.57    0 page faults and
% 0.19/0.57    6,346,552 bytes consed.
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T01:01:39
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  * 
%------------------------------------------------------------------------------