TSTP Solution File: LCL893+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 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 : Sun Jul 17 14:26:54 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   18 (   6 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    '+'(X,'0') = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

cnf(6,axiom,
    ( ~ '>='(X,Y)
    | ~ '>='(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).

cnf(7,axiom,
    ( ~ '>='('+'(X,Y),Z)
    | '>='(Y,'==>'(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

cnf(9,axiom,
    '>='(X,'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).

cnf(10,axiom,
    ( ~ '>='(X,Y)
    | '>='('+'(X,Z),'+'(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).

cnf(15,axiom,
    h(X) = '==>'(h(X),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).

cnf(16,negated_conjecture,
    h('SKOLEMAAAV1') = 'SKOLEMAAAV1',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

cnf(17,negated_conjecture,
    'SKOLEMAAAV1' != '0',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

cnf(18,plain,
    'SKOLEMAAAV1' = '==>'('SKOLEMAAAV1','SKOLEMAAAV1'),
    inference('PARAMODULATE',[status(thm)],[15,16,theory(equality)]) ).

cnf(19,plain,
    ~ '>='('0','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,9,17]) ).

cnf(20,plain,
    '>='('+'(X,Y),Y),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,9]),1,theory(equality)]) ).

cnf(81,plain,
    '>='(X,'==>'(Y,Y)),
    inference('HYPERRESOLVE',[status(thm)],[7,20]) ).

cnf(118,plain,
    '>='(X,'SKOLEMAAAV1'),
    inference('PARAMODULATE',[status(thm)],[81,18,theory(equality)]) ).

cnf(119,plain,
    $false,
    inference('REWRITE',[status(thm)],[19,118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13  % 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 : Sun Jul  3 02:56:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-03T02:56:45
% 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 2022-07-03T02:56:45
% 0.19/0.48  
% 0.19/0.48  ; Recognized associativity assertion (= (+ (+ ?X ?Y) ?Z) (+ ?X (+ ?Y ?Z))).
% 0.19/0.48  ; Recognized commutativity assertion (= (+ ?X ?Y) (+ ?Y ?X)).
% 0.19/0.48  ; Recognized right identity assertion (= (+ ?X |0|) ?X).
% 0.19/0.48  ; Declaring + to be commutative.
% 0.19/0.57  ; Declaring + to be associative-commutative.
% 0.19/0.57  
% 0.19/0.57  #||
% 0.19/0.57  % SZS status Theorem for /export/starexec/sandbox/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  ;       644 formulas have been input or derived (from 29 formulas).
% 0.19/0.57  ;       119 (18%) were retained.  Of these,
% 0.19/0.57  ;           11 ( 9%) were simplified or subsumed later,
% 0.19/0.57  ;          108 (91%) are still being kept.
% 0.19/0.57  ; 
% 0.19/0.57  ; Run time in seconds excluding printing time:
% 0.19/0.57  ;     0.003   3%   Read assertion file          (1 call)
% 0.19/0.57  ;     0.001   1%   Assert                       (15 calls)
% 0.19/0.57  ;     0.022  21%   Process new row              (533 calls)
% 0.19/0.57  ;     0.006   6%   Resolution                   (56 calls)
% 0.19/0.57  ;     0.006   6%   Paramodulation               (28 calls)
% 0.19/0.57  ;     0.001   1%   Embedding                    (17 calls)
% 0.19/0.58  ;     0.003   3%   Condensing                   (72 calls)
% 0.19/0.58  ;     0.006   6%   Forward subsumption          (72 calls)
% 0.19/0.58  ;     0.001   1%   Backward subsumption         (32 calls)
% 0.19/0.58  ;     0.003   3%   Clause clause subsumption    (251 calls)
% 0.19/0.58  ;     0.020  19%   Forward simplification       (436 calls)
% 0.19/0.58  ;     0.003   3%   Backward simplification      (104 calls)
% 0.19/0.58  ;     0.003   3%   Ordering                     (428 calls)
% 0.19/0.58  ;     0.002   2%   Ordering ac                  (346 calls)
% 0.19/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.58  ;     0.023  22%   Other
% 0.19/0.58  ;     0.103        Total
% 0.19/0.58  ;     0.105        Real time
% 0.19/0.58  ; 
% 0.19/0.58  ; Term-hash-array has 279 terms in all.
% 0.19/0.58  ; Feature-vector-row-index has 29 entries (32 at peak, 32 added, 3 deleted).
% 0.19/0.58  ; Feature-vector-row-index has 94 nodes (104 at peak, 104 added, 10 deleted).
% 0.19/0.58  ;  Retrieved 428 possibly forward subsuming rows in 72 calls.
% 0.19/0.58  ;  Retrieved 15 possibly backward subsumed rows in 32 calls.
% 0.19/0.58  ; Path-index has 265 entries (266 at peak, 284 added, 19 deleted).
% 0.19/0.58  ; Path-index has 235 nodes (235 at peak, 247 added, 12 deleted).
% 0.19/0.58  ; Trie-index has 265 entries (266 at peak, 284 added, 19 deleted).
% 0.19/0.58  ; Trie-index has 138 nodes (139 at peak, 161 added, 23 deleted).
% 0.19/0.58  ; Retrieved 6,164 generalization terms in 1,350 calls.
% 0.19/0.58  ; Retrieved 362 instance terms in 90 calls.
% 0.19/0.58  ; Retrieved 3,494 unifiable terms in 375 calls.
% 0.19/0.58  ; 
% 0.19/0.58  ; The agenda of rows to process has 41 entries:
% 0.19/0.58  ;     1 with value 7               1 with value 11               4 with value 13
% 0.19/0.58  ;    17 with value 10             10 with value 12               8 with value 15
% 0.19/0.58  ; The agenda of rows to give has 83 entries:
% 0.19/0.58  ;     1 with value (4 7)           3 with value (4 18)           5 with value (4 29)
% 0.19/0.58  ;     5 with value (4 9)           2 with value (4 19)           5 with value (4 30)
% 0.19/0.58  ;     5 with value (4 11)          2 with value (4 20)           4 with value (4 33)
% 0.19/0.58  ;     3 with value (4 12)          3 with value (4 21)           2 with value (4 34)
% 0.19/0.58  ;     1 with value (4 13)          1 with value (4 22)           2 with value (4 35)
% 0.19/0.58  ;     5 with value (4 14)          3 with value (4 23)           2 with value (4 36)
% 0.19/0.58  ;     4 with value (4 15)          5 with value (4 25)           1 with value (4 37)
% 0.19/0.58  ;     4 with value (4 16)          4 with value (4 26)           3 with value (4 38)
% 0.19/0.58  ;     3 with value (4 17)          3 with value (4 27)           2 with value (4 44)
% 0.19/0.58  Evaluation took:
% 0.19/0.58    0.106 seconds of real time
% 0.19/0.58    0.092297 seconds of user run time
% 0.19/0.58    0.014216 seconds of system run time
% 0.19/0.58    0 calls to %EVAL
% 0.19/0.58    0 page faults and
% 0.19/0.58    5,384,736 bytes consed.
% 0.19/0.58  :PROOF-FOUND
% 0.19/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T02:56:45
% 0.19/0.58  :PROOF-FOUND
% 0.19/0.58  * 
%------------------------------------------------------------------------------