TSTP Solution File: KLE089+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KLE089+1 : TPTP v6.4.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n096.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Apr 25 11:48:19 EDT 2016

% Result   : Theorem 1.51s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   7 RR)
%            Number of literals    :   22 (  21 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    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    addition(X,zero) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

cnf(2,axiom,
    addition(X,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

cnf(3,plain,
    addition(X,addition(X,Y)) = addition(X,Y),
    inference('EMBED',[status(thm)],[2]) ).

cnf(4,axiom,
    multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

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

cnf(8,axiom,
    multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

cnf(10,axiom,
    multiplication(zero,X) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

cnf(13,axiom,
    multiplication(antidomain(X),X) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).

cnf(16,axiom,
    addition(antidomain(antidomain(X)),antidomain(X)) = one,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).

cnf(17,plain,
    addition(antidomain(antidomain(X)),addition(antidomain(X),Y)) = addition(one,Y),
    inference('EMBED',[status(thm)],[16]) ).

cnf(18,axiom,
    domain(X) = antidomain(antidomain(X)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).

cnf(25,negated_conjecture,
    addition(domain('SKOLEMAAAN1'),antidomain('SKOLEMAAAN2')) = antidomain('SKOLEMAAAN2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(26,plain,
    addition(antidomain(antidomain('SKOLEMAAAN1')),antidomain('SKOLEMAAAN2')) = antidomain('SKOLEMAAAN2'),
    inference('REWRITE',[status(thm)],[25,18,theory(equality)]) ).

cnf(27,plain,
    addition(antidomain(antidomain('SKOLEMAAAN1')),addition(antidomain('SKOLEMAAAN2'),X)) = addition(antidomain('SKOLEMAAAN2'),X),
    inference('EMBED',[status(thm)],[26]) ).

cnf(28,negated_conjecture,
    multiplication(domain('SKOLEMAAAN1'),'SKOLEMAAAN2') != zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(29,plain,
    multiplication(antidomain(antidomain('SKOLEMAAAN1')),'SKOLEMAAAN2') != zero,
    inference('REWRITE',[status(thm)],[28,18,theory(equality)]) ).

cnf(40,plain,
    addition(one,antidomain(X)) = one,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,17,theory(equality)]),16,theory(equality)]) ).

cnf(61,plain,
    addition(antidomain('SKOLEMAAAN2'),antidomain('SKOLEMAAAN1')) = one,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,27,theory(equality)]),40,theory(equality)]) ).

cnf(71,plain,
    multiplication(antidomain(X),multiplication(X,Y)) = zero,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,13,theory(equality)]),10,theory(equality)]) ).

cnf(219,plain,
    X = addition(multiplication(antidomain('SKOLEMAAAN2'),X),multiplication(antidomain('SKOLEMAAAN1'),X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,61,theory(equality)]),6,theory(equality)]) ).

cnf(913,plain,
    'SKOLEMAAAN2' = multiplication(antidomain('SKOLEMAAAN1'),'SKOLEMAAAN2'),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[219,13,theory(equality)]),1,theory(equality)]) ).

cnf(935,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[71,913,theory(equality)]),29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE089+1 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04  % Command  : run-snark %s %d
% 0.02/0.23  % Computer : n096.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.75MB
% 0.02/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Apr 22 20:25:34 CDT 2016
% 0.02/0.23  % CPUTime  : 
% 0.02/0.26  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27  * 
% 0.02/0.27  * 
% 0.02/0.27  #<PACKAGE "SNARK-USER">
% 0.02/0.27  * 
% 0.02/0.27  SNARK-TPTP-OPTIONS
% 0.02/0.27  * 
% 0.02/0.27  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.02/0.27   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.02/0.27   (USE-FACTORING :POS)
% 0.02/0.27   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.02/0.27   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.02/0.27   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.02/0.27   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.02/0.27   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.02/0.27   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.02/0.27   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.02/0.27   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.02/0.27   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.02/0.27   (DECLARE-TPTP-SYMBOLS2))
% 0.02/0.27  * 
% 0.02/0.27  "."
% 0.02/0.27  * 
% 0.02/0.27  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2016-04-22T20:25:34
% 0.02/0.27  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n096.star.cs.uiowa.edu at 2016-04-22T20:25:34
% 0.02/0.28  
% 0.02/0.28  ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.02/0.28  ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.02/0.29  ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.02/0.29  ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.02/0.29  ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.02/0.29  ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.02/0.29  ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.02/0.29  ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.02/0.29  ; Declaring addition to be commutative.
% 1.51/1.70  ; Declaring addition to be associative-commutative.
% 1.51/1.70  
% 1.51/1.70  #||
% 1.51/1.70  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.51/1.70  % SZS output start Refutation
% See solution above
% 1.51/1.71  % SZS output end Refutation
% 1.51/1.71  ||#
% 1.51/1.71  
% 1.51/1.71  ; Summary of computation:
% 1.51/1.71  ;      6523 formulas have been input or derived (from 120 formulas).
% 1.51/1.71  ;       935 (14%) were retained.  Of these,
% 1.51/1.71  ;           34 ( 4%) were simplified or subsumed later,
% 1.51/1.71  ;          901 (96%) are still being kept.
% 1.51/1.71  ; 
% 1.51/1.71  ; Run time in seconds excluding printing time:
% 1.51/1.71  ;     0.004   0%   Read assertion file          (1 call)
% 1.51/1.71  ;     0.001   0%   Assert                       (21 calls)
% 1.51/1.71  ;     0.119   8%   Process new row              (6,187 calls)
% 1.51/1.71  ;     0.013   1%   Resolution                   (238 calls)
% 1.51/1.71  ;     0.129   9%   Paramodulation               (119 calls)
% 1.51/1.71  ;     0.001   0%   Embedding                    (138 calls)
% 1.51/1.71  ;     0.016   1%   Condensing                   (468 calls)
% 1.51/1.71  ;     0.019   1%   Forward subsumption          (468 calls)
% 1.51/1.71  ;     0.009   1%   Backward subsumption         (143 calls)
% 1.51/1.71  ;     0.015   1%   Clause clause subsumption    (1,266 calls)
% 1.51/1.71  ;     1.023  71%   Forward simplification       (6,029 calls)
% 1.51/1.71  ;     0.025   2%   Backward simplification      (798 calls)
% 1.51/1.71  ;     0.013   1%   Ordering                     (4,377 calls)
% 1.51/1.71  ;     0.009   1%   Ordering ac                  (869 calls)
% 1.51/1.71  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.51/1.71  ;     0.000   0%   Purity testing               (1 call)
% 1.51/1.71  ;     0.034   2%   Other
% 1.51/1.71  ;     1.431        Total
% 1.51/1.71  ;     1.431        Real time
% 1.51/1.71  ; 
% 1.51/1.71  ; Term-hash-array has 2,091 terms in all.
% 1.51/1.71  ; Feature-vector-row-index has 143 entries (143 at peak, 143 added, 0 deleted).
% 1.51/1.71  ; Feature-vector-row-index has 1,059 nodes (1,059 at peak, 1,059 added, 0 deleted).
% 1.51/1.71  ;  Retrieved 1,802 possibly forward subsuming rows in 468 calls.
% 1.51/1.71  ;  Retrieved 66 possibly backward subsumed rows in 143 calls.
% 1.51/1.71  ; Path-index has 2,006 entries (2,006 at peak, 2,107 added, 101 deleted).
% 1.51/1.71  ; Path-index has 1,534 nodes (1,534 at peak, 1,594 added, 60 deleted).
% 1.51/1.71  ; Trie-index has 2,006 entries (2,006 at peak, 2,107 added, 101 deleted).
% 1.51/1.71  ; Trie-index has 1,900 nodes (1,900 at peak, 2,022 added, 122 deleted).
% 1.51/1.71  ; Retrieved 1,144,506 generalization terms in 41,745 calls.
% 1.51/1.71  ; Retrieved 1,533 instance terms in 672 calls.
% 1.51/1.71  ; Retrieved 17,264 unifiable terms in 812 calls.
% 1.51/1.71  ; 
% 1.51/1.71  ; The agenda of rows to process has 9 entries:
% 1.51/1.71  ;     2 with value 16              1 with value 19               1 with value 28
% 1.51/1.71  ;     1 with value 17              1 with value 20               1 with value 29
% 1.51/1.71  ;     2 with value 18
% 1.51/1.71  ; The agenda of rows to give has 785 entries:
% 1.51/1.71  ;     1 with value (4 12)         44 with value (4 25)           5 with value (4 35)
% 1.51/1.71  ;     2 with value (4 16)         33 with value (4 26)           4 with value (4 36)
% 1.51/1.71  ;    36 with value (4 17)         36 with value (4 27)           4 with value (4 38)
% 1.51/1.71  ;    61 with value (4 18)         38 with value (4 28)           2 with value (4 39)
% 1.51/1.71  ;    75 with value (4 19)         11 with value (4 29)           4 with value (4 40)
% 1.51/1.71  ;    77 with value (4 20)         27 with value (4 30)           4 with value (4 42)
% 1.51/1.71  ;    73 with value (4 21)         23 with value (4 31)           2 with value (4 44)
% 1.51/1.71  ;    58 with value (4 22)         40 with value (4 32)           2 with value (4 45)
% 1.51/1.71  ;    41 with value (4 23)         14 with value (4 33)           2 with value (4 47)
% 1.51/1.71  ;    39 with value (4 24)         25 with value (4 34)           2 with value (4 48)
% 1.51/1.71  Evaluation took:
% 1.51/1.71    1.432 seconds of real time
% 1.51/1.71    1.37795 seconds of user run time
% 1.51/1.71    0.054995 seconds of system run time
% 1.51/1.71    [Run times include 0.041 seconds GC run time.]
% 1.51/1.71    0 calls to %EVAL
% 1.51/1.71    0 page faults and
% 1.51/1.71    83,311,040 bytes consed.
% 1.51/1.71:PROOF-FOUND
% 1.51/1.71  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2016-04-22T20:25:35
% 1.51/1.71:PROOF-FOUND
% 1.51/1.71  * 
%------------------------------------------------------------------------------