TSTP Solution File: KLE075+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KLE075+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 02:26:31 EDT 2022

% Result   : Theorem 0.40s 0.57s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   5 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    multiplication(one,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

cnf(15,axiom,
    domain(multiplication(X,Y)) = domain(multiplication(X,domain(Y))),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain2) ).

cnf(21,negated_conjecture,
    domain(multiplication(one,domain('SKOLEMAAAV1'))) != domain('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(22,plain,
    domain(domain('SKOLEMAAAV1')) != domain('SKOLEMAAAV1'),
    inference('REWRITE',[status(thm)],[21,6,theory(equality)]) ).

cnf(46,plain,
    domain(X) = domain(domain(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,6,theory(equality)]),6,theory(equality)]) ).

cnf(47,plain,
    $false,
    inference('REWRITE',[status(thm)],[22,46,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : KLE075+1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jun 16 11:16:44 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T11:16:44
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-16T11:16:44
% 0.22/0.53  
% 0.22/0.53  ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.22/0.53  ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.22/0.53  ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.22/0.53  ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.22/0.53  ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.22/0.53  ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.22/0.53  ; Declaring addition to be commutative.
% 0.40/0.57  ; Declaring addition to be associative-commutative.
% 0.40/0.57  
% 0.40/0.57  #||
% 0.40/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.57  % SZS output start Refutation
% See solution above
% 0.40/0.57  ||#
% 0.40/0.57  
% 0.40/0.57  ; Summary of computation:
% 0.40/0.57  ;       171 formulas have been input or derived (from 18 formulas).
% 0.40/0.57  ;        47 (27%) were retained.  Of these,
% 0.40/0.57  ;            2 ( 4%) were simplified or subsumed later,
% 0.40/0.57  ;           45 (96%) are still being kept.
% 0.40/0.57  ; 
% 0.40/0.57  ; Run time in seconds:
% 0.40/0.57  ;     0.005   9%   Read assertion file          (1 call)
% 0.40/0.57  ;     0.001   2%   Assert                       (18 calls)
% 0.40/0.57  ;     0.006  10%   Process new row              (156 calls)
% 0.40/0.57  ;     0.001   2%   Resolution                   (34 calls)
% 0.40/0.57  ;     0.005   9%   Paramodulation               (17 calls)
% 0.40/0.57  ;     0.000   0%   Embedding                    (7 calls)
% 0.40/0.57  ;     0.005   9%   Condensing                   (47 calls)
% 0.40/0.57  ;     0.002   3%   Forward subsumption          (47 calls)
% 0.40/0.57  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.40/0.57  ;     0.000   0%   Clause clause subsumption    (67 calls)
% 0.40/0.57  ;     0.007  12%   Forward simplification       (152 calls)
% 0.40/0.57  ;     0.000   0%   Backward simplification      (42 calls)
% 0.40/0.57  ;     0.000   0%   Ordering                     (212 calls)
% 0.40/0.57  ;     0.002   3%   Ordering ac                  (42 calls)
% 0.40/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.40/0.57  ;     0.024  41%   Other
% 0.40/0.57  ;     0.058        Total
% 0.40/0.57  ;     0.058        Real time
% 0.40/0.57  ; 
% 0.40/0.57  ; Term-hash-array has 121 terms in all.
% 0.40/0.57  ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.40/0.57  ; Feature-vector-row-index has 89 nodes (89 at peak, 89 added, 0 deleted).
% 0.40/0.57  ;  Retrieved 93 possibly forward subsuming rows in 47 calls.
% 0.40/0.57  ;  Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.40/0.57  ; Path-index has 121 entries (124 at peak, 125 added, 4 deleted).
% 0.40/0.57  ; Path-index has 181 nodes (185 at peak, 186 added, 5 deleted).
% 0.40/0.57  ; Trie-index has 121 entries (124 at peak, 125 added, 4 deleted).
% 0.40/0.57  ; Trie-index has 186 nodes (192 at peak, 193 added, 7 deleted).
% 0.40/0.57  ; Retrieved 1,695 generalization terms in 809 calls.
% 0.40/0.57  ; Retrieved 45 instance terms in 38 calls.
% 0.40/0.57  ; Retrieved 349 unifiable terms in 84 calls.
% 0.40/0.57  ; 
% 0.40/0.57  ; The agenda of rows to process has 7 entries:
% 0.40/0.57  ;     3 with value 13              1 with value 20               3 with value 21
% 0.40/0.57  ; The agenda of input rows to give has 4 entries:
% 0.40/0.57  ;     2 with value 15              2 with value 16
% 0.40/0.57  ; The agenda of rows to give has 24 entries:
% 0.40/0.57  ;     2 with value (4 5)           1 with value (4 15)           1 with value (4 23)
% 0.40/0.57  ;     1 with value (4 7)           2 with value (4 17)           1 with value (4 24)
% 0.40/0.57  ;     1 with value (4 8)           1 with value (4 18)           1 with value (4 25)
% 0.40/0.57  ;     2 with value (4 9)           5 with value (4 20)           1 with value (4 26)
% 0.40/0.57  ;     1 with value (4 10)          2 with value (4 21)           1 with value (4 30)
% 0.40/0.57  ;     1 with value (4 13)
% 0.40/0.57  Evaluation took:
% 0.40/0.57    0.059 seconds of real time
% 0.40/0.57    0.052334 seconds of user run time
% 0.40/0.57    0.007076 seconds of system run time
% 0.40/0.57    0 calls to %EVAL
% 0.40/0.57    0 page faults and
% 0.40/0.57    2,951,976 bytes consed.
% 0.40/0.57  :PROOF-FOUND
% 0.40/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T11:16:44
% 0.40/0.57  :PROOF-FOUND
% 0.40/0.57  * 
%------------------------------------------------------------------------------