TSTP Solution File: KRS131+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS131+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 03:28:40 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   32 (   8 unt;  17 nHn;  28 RR)
%            Number of literals    :   84 (   0 equ;  35 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   17 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

cnf(2,axiom,
    ~ cowlNothing(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

cnf(3,axiom,
    ( ~ xsd_string(X)
    | ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

cnf(4,axiom,
    ( xsd_string(X)
    | xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

cnf(5,axiom,
    ( ~ cA(X)
    | rq(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(6,axiom,
    ( cA(X)
    | ~ rq(X,Y)
    | ~ cowlThing(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(7,plain,
    ( cA(X)
    | ~ rq(X,Y) ),
    inference('REWRITE',[status(thm)],[6,1]) ).

cnf(8,axiom,
    ( ~ cNothing(X)
    | ~ rp(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(9,axiom,
    ( ~ cNothing(X)
    | rp(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

cnf(10,axiom,
    ( ~ cnotA(X)
    | ~ rq(X,Y)
    | cNothing(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(11,axiom,
    ( cnotA(X)
    | rq(X,'SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(13,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV4')
    | cowlNothing('SKOLEMAAAV4')
    | ~ xsd_string('SKOLEMAAAV5')
    | xsd_integer('SKOLEMAAAV5')
    | ~ cnotA('SKOLEMAAAV6')
    | cA('SKOLEMAAAV6') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

cnf(14,plain,
    ( ~ xsd_string('SKOLEMAAAV5')
    | xsd_integer('SKOLEMAAAV5')
    | ~ cnotA('SKOLEMAAAV6')
    | cA('SKOLEMAAAV6') ),
    inference('REWRITE',[status(thm)],[13,2,1]) ).

cnf(15,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV4')
    | cowlNothing('SKOLEMAAAV4')
    | ~ xsd_string('SKOLEMAAAV5')
    | xsd_integer('SKOLEMAAAV5')
    | cnotA('SKOLEMAAAV6')
    | ~ cA('SKOLEMAAAV6') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

cnf(16,plain,
    ( ~ xsd_string('SKOLEMAAAV5')
    | xsd_integer('SKOLEMAAAV5')
    | cnotA('SKOLEMAAAV6')
    | ~ cA('SKOLEMAAAV6') ),
    inference('REWRITE',[status(thm)],[15,2,1]) ).

cnf(17,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV4')
    | cowlNothing('SKOLEMAAAV4')
    | xsd_string('SKOLEMAAAV5')
    | ~ xsd_integer('SKOLEMAAAV5')
    | ~ cnotA('SKOLEMAAAV6')
    | cA('SKOLEMAAAV6') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

cnf(18,plain,
    ( xsd_string('SKOLEMAAAV5')
    | ~ xsd_integer('SKOLEMAAAV5')
    | ~ cnotA('SKOLEMAAAV6')
    | cA('SKOLEMAAAV6') ),
    inference('REWRITE',[status(thm)],[17,2,1]) ).

cnf(19,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV4')
    | cowlNothing('SKOLEMAAAV4')
    | xsd_string('SKOLEMAAAV5')
    | ~ xsd_integer('SKOLEMAAAV5')
    | cnotA('SKOLEMAAAV6')
    | ~ cA('SKOLEMAAAV6') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

cnf(20,plain,
    ( xsd_string('SKOLEMAAAV5')
    | ~ xsd_integer('SKOLEMAAAV5')
    | cnotA('SKOLEMAAAV6')
    | ~ cA('SKOLEMAAAV6') ),
    inference('REWRITE',[status(thm)],[19,2,1]) ).

cnf(21,plain,
    ( cnotA(X)
    | cA(X) ),
    inference('HYPERRESOLVE',[status(thm)],[7,11]) ).

cnf(22,plain,
    ( cA('SKOLEMAAAV6')
    | xsd_integer('SKOLEMAAAV5') ),
    inference('HYPERRESOLVE',[status(thm)],[14,21,4]) ).

cnf(23,plain,
    ( cA('SKOLEMAAAV6')
    | xsd_string('SKOLEMAAAV5') ),
    inference('HYPERRESOLVE',[status(thm)],[18,22,21]) ).

cnf(24,plain,
    cA('SKOLEMAAAV6'),
    inference('HYPERRESOLVE',[status(thm)],[3,23,22]) ).

cnf(25,plain,
    ( ~ xsd_string('SKOLEMAAAV5')
    | xsd_integer('SKOLEMAAAV5')
    | cnotA('SKOLEMAAAV6') ),
    inference('REWRITE',[status(thm)],[16,24]) ).

cnf(26,plain,
    ( xsd_string('SKOLEMAAAV5')
    | ~ xsd_integer('SKOLEMAAAV5')
    | cnotA('SKOLEMAAAV6') ),
    inference('REWRITE',[status(thm)],[20,24]) ).

cnf(27,plain,
    ( xsd_integer('SKOLEMAAAV5')
    | cnotA('SKOLEMAAAV6') ),
    inference('HYPERRESOLVE',[status(thm)],[25,4]) ).

cnf(28,plain,
    rq('SKOLEMAAAV6','SKOLEMAAAV1'('SKOLEMAAAV6')),
    inference('HYPERRESOLVE',[status(thm)],[5,24]) ).

cnf(29,plain,
    ( cnotA('SKOLEMAAAV6')
    | xsd_string('SKOLEMAAAV5') ),
    inference('HYPERRESOLVE',[status(thm)],[26,27]) ).

cnf(30,plain,
    cnotA('SKOLEMAAAV6'),
    inference('HYPERRESOLVE',[status(thm)],[3,29,27]) ).

cnf(31,plain,
    cNothing('SKOLEMAAAV1'('SKOLEMAAAV6')),
    inference('HYPERRESOLVE',[status(thm)],[10,28,30]) ).

cnf(32,plain,
    ~ rp('SKOLEMAAAV1'('SKOLEMAAAV6'),X),
    inference('UR-RESOLVE',[status(thm)],[8,31]) ).

cnf(33,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,31]),32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS131+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.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 : Tue Jun  7 12:37:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T12:37:36
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-07T12:37:36
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        44 formulas have been input or derived (from 27 formulas).
% 0.18/0.49  ;        33 (75%) were retained.  Of these,
% 0.18/0.49  ;           15 (45%) were simplified or subsumed later,
% 0.18/0.49  ;           18 (55%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   7%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (7 calls)
% 0.18/0.49  ;     0.000   0%   Process new row              (35 calls)
% 0.18/0.49  ;     0.003  10%   Resolution                   (52 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (26 calls)
% 0.18/0.49  ;     0.000   0%   Factoring                    (7 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (23 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (23 calls)
% 0.18/0.49  ;     0.001   3%   Backward subsumption         (20 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (35 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (28 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (11 calls)
% 0.18/0.49  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.001   3%   Purity testing               (1 call)
% 0.18/0.49  ;     0.022  73%   Other
% 0.18/0.49  ;     0.030        Total
% 0.18/0.49  ;     0.034        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 25 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 10 entries (14 at peak, 20 added, 10 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 23 nodes (55 at peak, 83 added, 60 deleted).
% 0.18/0.49  ;  Retrieved 3 possibly forward subsuming rows in 23 calls.
% 0.18/0.49  ;  Retrieved 4 possibly backward subsumed rows in 20 calls.
% 0.18/0.49  ; Path-index has 25 entries (26 at peak, 33 added, 8 deleted).
% 0.18/0.49  ; Path-index has 50 nodes (50 at peak, 58 added, 8 deleted).
% 0.18/0.49  ; Trie-index has 25 entries (26 at peak, 33 added, 8 deleted).
% 0.18/0.49  ; Trie-index has 48 nodes (48 at peak, 56 added, 8 deleted).
% 0.18/0.49  ; Retrieved 15 generalization terms in 15 calls.
% 0.18/0.49  ; Retrieved 7 instance terms in 7 calls.
% 0.18/0.49  ; Retrieved 166 unifiable terms in 125 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to give has 1 entry:
% 0.18/0.49  ;     1 with value (4 13)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.034 seconds of real time
% 0.18/0.49    0.031342 seconds of user run time
% 0.18/0.49    0.003191 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    3,626,896 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T12:37:36
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------