TSTP Solution File: KRS070+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 03:28:29 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (  10 unt;   0 nHn;  19 RR)
%            Number of literals    :   32 (   3 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X != Y
    | ~ cc2(X)
    | cc2(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_substitution_1) ).

cnf(32,axiom,
    ( ~ cUnsatisfiable(X)
    | rrx4(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(33,axiom,
    ( ~ cUnsatisfiable(X)
    | cc2('SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(34,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rrx3(X,Y)
    | ~ cc2(Y)
    | ~ cc1(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(35,axiom,
    ( ~ cUnsatisfiable(X)
    | rrx3(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(36,axiom,
    ( ~ cUnsatisfiable(X)
    | cc1('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(40,axiom,
    ( ~ rrx(X,Y)
    | ~ rrx(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(45,axiom,
    cUnsatisfiable(i2003_11_14_17_18_32242),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

cnf(46,axiom,
    ( ~ rrx3(X,Y)
    | rrx(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

cnf(53,axiom,
    ( ~ rrx4(X,Y)
    | rrx(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

cnf(54,plain,
    cc2('SKOLEMAAAV1'(i2003_11_14_17_18_32242)),
    inference('HYPERRESOLVE',[status(thm)],[33,45]) ).

cnf(55,plain,
    cc1('SKOLEMAAAV2'(i2003_11_14_17_18_32242)),
    inference('HYPERRESOLVE',[status(thm)],[36,45]) ).

cnf(56,plain,
    rrx4(i2003_11_14_17_18_32242,'SKOLEMAAAV1'(i2003_11_14_17_18_32242)),
    inference('HYPERRESOLVE',[status(thm)],[32,45]) ).

cnf(57,plain,
    rrx3(i2003_11_14_17_18_32242,'SKOLEMAAAV2'(i2003_11_14_17_18_32242)),
    inference('HYPERRESOLVE',[status(thm)],[35,45]) ).

cnf(58,plain,
    rrx(i2003_11_14_17_18_32242,'SKOLEMAAAV1'(i2003_11_14_17_18_32242)),
    inference('HYPERRESOLVE',[status(thm)],[53,56]) ).

cnf(60,plain,
    ~ cc2('SKOLEMAAAV2'(i2003_11_14_17_18_32242)),
    inference('UR-RESOLVE',[status(thm)],[34,57,45,55]) ).

cnf(62,plain,
    rrx(i2003_11_14_17_18_32242,'SKOLEMAAAV2'(i2003_11_14_17_18_32242)),
    inference('HYPERRESOLVE',[status(thm)],[46,57]) ).

cnf(63,plain,
    'SKOLEMAAAV1'(i2003_11_14_17_18_32242) != 'SKOLEMAAAV2'(i2003_11_14_17_18_32242),
    inference('UR-RESOLVE',[status(thm)],[3,60,54]) ).

cnf(64,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,62,58]),63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % WCLimit  : 600
% 0.20/0.34  % DateTime : Tue Jun  7 10:30:35 EDT 2022
% 0.20/0.35  % 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 2022-06-07T10:30:35
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-07T10:30:35
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       127 formulas have been input or derived (from 61 formulas).
% 0.20/0.52  ;        64 (50%) were retained.  Of these,
% 0.20/0.53  ;            2 ( 3%) were simplified or subsumed later,
% 0.20/0.53  ;           62 (97%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.009  20%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.002   4%   Assert                       (44 calls)
% 0.20/0.53  ;     0.003   7%   Process new row              (88 calls)
% 0.20/0.53  ;     0.002   4%   Resolution                   (120 calls)
% 0.20/0.53  ;     0.001   2%   Paramodulation               (60 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.53  ;     0.000   0%   Condensing                   (51 calls)
% 0.20/0.53  ;     0.001   2%   Forward subsumption          (51 calls)
% 0.20/0.53  ;     0.001   2%   Backward subsumption         (50 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.20/0.53  ;     0.002   4%   Forward simplification       (88 calls)
% 0.20/0.53  ;     0.001   2%   Backward simplification      (64 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (6 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.024  52%   Other
% 0.20/0.53  ;     0.046        Total
% 0.20/0.53  ;     0.048        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 90 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 48 entries (48 at peak, 50 added, 2 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 93 nodes (93 at peak, 99 added, 6 deleted).
% 0.20/0.53  ;  Retrieved 13 possibly forward subsuming rows in 51 calls.
% 0.20/0.53  ;  Retrieved 16 possibly backward subsumed rows in 50 calls.
% 0.20/0.53  ; Path-index has 89 entries (89 at peak, 91 added, 2 deleted).
% 0.20/0.53  ; Path-index has 114 nodes (114 at peak, 114 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 89 entries (89 at peak, 91 added, 2 deleted).
% 0.20/0.53  ; Trie-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.20/0.53  ; Retrieved 21 generalization terms in 26 calls.
% 0.20/0.53  ; Retrieved 15 instance terms in 13 calls.
% 0.20/0.53  ; Retrieved 1,063 unifiable terms in 458 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 7 entries:
% 0.20/0.53  ;     7 with value 10
% 0.20/0.53  ; The agenda of rows to give has 1 entry:
% 0.20/0.53  ;     1 with value (4 10)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.049 seconds of real time
% 0.20/0.53    0.042153 seconds of user run time
% 0.20/0.53    0.006117 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,127,808 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T10:30:35
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------