TSTP Solution File: KRS215+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 03:29:14 EDT 2022

% Result   : Theorem 1.27s 1.47s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( ~ model(X,Y)
    | model(X,Z)
    | ~ status(Y,Z,thm) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).

cnf(66,axiom,
    ( ~ model(X,Y)
    | ~ model(X,not(Z))
    | status(Y,Z,csa) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',csa) ).

cnf(83,axiom,
    ( ~ status(X,Y,Z)
    | status(X,Y,U)
    | nota(Z,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).

cnf(94,axiom,
    ( model(X,Y)
    | model(X,not(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',completeness) ).

cnf(107,axiom,
    model('SKOLEMAAAV66','SKOLEMAAAV67'),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).

cnf(108,axiom,
    ~ model('SKOLEMAAAV66','SKOLEMAAAV68'),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).

cnf(110,negated_conjecture,
    ~ nota(csa,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_csa_thm) ).

cnf(199,plain,
    model('SKOLEMAAAV66',not('SKOLEMAAAV68')),
    inference('UR-RESOLVE',[status(thm)],[94,108]) ).

cnf(364,plain,
    ~ status('SKOLEMAAAV67','SKOLEMAAAV68',thm),
    inference('UR-RESOLVE',[status(thm)],[16,107,108]) ).

cnf(1745,plain,
    ~ status('SKOLEMAAAV67','SKOLEMAAAV68',csa),
    inference('UR-RESOLVE',[status(thm)],[83,364,110]) ).

cnf(3902,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[66,199,107]),1745]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 17:33:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T17:33:07
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-07T17:33:07
% 1.27/1.47  
% 1.27/1.47  
% 1.27/1.47  #||
% 1.27/1.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.27/1.47  % SZS output start Refutation
% See solution above
% 1.27/1.47  ||#
% 1.27/1.47  
% 1.27/1.47  ; Summary of computation:
% 1.27/1.47  ;     23148 formulas have been input or derived (from 1406 formulas).
% 1.27/1.47  ;      3902 (17%) were retained.  Of these,
% 1.27/1.47  ;          196 ( 5%) were simplified or subsumed later,
% 1.27/1.47  ;         3706 (95%) are still being kept.
% 1.27/1.47  ; 
% 1.27/1.47  ; Run time in seconds excluding printing time:
% 1.27/1.47  ;     0.010   1%   Read assertion file          (1 call)
% 1.27/1.47  ;     0.005   1%   Assert                       (33 calls)
% 1.27/1.47  ;     0.209  21%   Process new row              (17,268 calls)
% 1.27/1.47  ;     0.496  50%   Resolution                   (2,810 calls)
% 1.27/1.47  ;     0.028   3%   Paramodulation               (1,405 calls)
% 1.27/1.47  ;     0.000   0%   Factoring                    (9 calls)
% 1.27/1.47  ;     0.012   1%   Condensing                   (889 calls)
% 1.27/1.47  ;     0.022   2%   Forward subsumption          (889 calls)
% 1.27/1.47  ;     0.011   1%   Backward subsumption         (826 calls)
% 1.27/1.47  ;     0.004   0%   Clause clause subsumption    (768 calls)
% 1.27/1.47  ;     0.087   9%   Forward simplification       (17,268 calls)
% 1.27/1.47  ;     0.016   2%   Backward simplification      (3,899 calls)
% 1.27/1.47  ;     0.003   0%   Ordering                     (2,523 calls)
% 1.27/1.47  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.27/1.47  ;     0.001   0%   Purity testing               (1 call)
% 1.27/1.47  ;     0.086   9%   Other
% 1.27/1.47  ;     0.990        Total
% 1.27/1.47  ;     0.992        Real time
% 1.27/1.47  ; 
% 1.27/1.47  ; Term-hash-array has 6,039 terms in all.
% 1.27/1.47  ; Feature-vector-row-index has 663 entries (663 at peak, 826 added, 163 deleted).
% 1.27/1.47  ; Feature-vector-row-index has 1,804 nodes (1,878 at peak, 2,133 added, 329 deleted).
% 1.27/1.47  ;  Retrieved 1,564 possibly forward subsuming rows in 889 calls.
% 1.27/1.47  ;  Retrieved 752 possibly backward subsumed rows in 826 calls.
% 1.27/1.47  ; Path-index has 5,984 entries (5,985 at peak, 6,094 added, 110 deleted).
% 1.27/1.47  ; Path-index has 2,837 nodes (2,837 at peak, 2,873 added, 36 deleted).
% 1.27/1.47  ; Trie-index has 5,984 entries (5,985 at peak, 6,094 added, 110 deleted).
% 1.27/1.47  ; Trie-index has 10,522 nodes (10,522 at peak, 10,644 added, 122 deleted).
% 1.27/1.47  ; Retrieved 14,040 generalization terms in 19,992 calls.
% 1.27/1.47  ; Retrieved 3,118 instance terms in 3,072 calls.
% 1.27/1.47  ; Retrieved 567,903 unifiable terms in 41,330 calls.
% 1.27/1.47  ; 
% 1.27/1.47  ; The agenda of rows to process has 281 entries:
% 1.27/1.47  ;     5 with value 7               1 with value 18               1 with value 27
% 1.27/1.47  ;    59 with value 8               1 with value 19              18 with value 28
% 1.27/1.47  ;    75 with value 9               6 with value 20               9 with value 29
% 1.27/1.47  ;    28 with value 10              1 with value 21               2 with value 30
% 1.27/1.47  ;     1 with value 11             16 with value 22               2 with value 31
% 1.27/1.47  ;     8 with value 13              2 with value 23               1 with value 32
% 1.27/1.47  ;     4 with value 14              4 with value 24               1 with value 33
% 1.27/1.47  ;     5 with value 15              9 with value 25               2 with value 36
% 1.27/1.47  ;     3 with value 16              1 with value 26               2 with value 37
% 1.27/1.47  ;    14 with value 17
% 1.27/1.47  ; The agenda of rows to give has 2300 entries:
% 1.27/1.47  ;    38 with value (4 7)           9 with value (4 18)           7 with value (4 28)
% 1.27/1.47  ;   125 with value (4 8)          31 with value (4 19)           5 with value (4 29)
% 1.27/1.47  ;   322 with value (4 9)          54 with value (4 20)          22 with value (4 31)
% 1.27/1.47  ;    30 with value (4 10)         38 with value (4 21)           7 with value (4 32)
% 1.27/1.47  ;   142 with value (4 11)          8 with value (4 22)           2 with value (4 33)
% 1.27/1.47  ;    71 with value (4 12)          7 with value (4 23)           1 with value (4 34)
% 1.27/1.47  ;  1225 with value (4 13)          1 with value (4 24)           1 with value (4 35)
% 1.27/1.47  ;    21 with value (4 14)         21 with value (4 25)           2 with value (4 37)
% 1.27/1.47  ;    47 with value (4 16)          8 with value (4 26)           1 with value (4 39)
% 1.27/1.47  ;    50 with value (4 17)          3 with value (4 27)           1 with value (4 40)
% 1.27/1.47  Evaluation took:
% 1.27/1.47    0.993 seconds of real time
% 1.27/1.47    0.9037 seconds of user run time
% 1.27/1.47    0.089098 seconds of system run time
% 1.27/1.47    [Run times include 0.05 seconds GC run time.]
% 1.27/1.47    0 calls to %EVAL
% 1.27/1.47    0 page faults and
% 1.27/1.47    55,484,728 bytes consed.
% 1.27/1.47  :PROOF-FOUND
% 1.27/1.47  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T17:33:08
% 1.27/1.47  :PROOF-FOUND
% 1.27/1.47  * 
%------------------------------------------------------------------------------