TSTP Solution File: KRS117+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 03:28:37 EDT 2022

% Result   : Unsatisfiable 0.37s 0.56s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   34 (  18 unt;   0 nHn;  33 RR)
%            Number of literals    :   55 (   4 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   28 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( X != Y
    | ~ ccxcomp(X)
    | ccxcomp(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ccxcomp_substitution_1) ).

cnf(20,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(25,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rinvR(X,Y)
    | ca_Vx3(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(26,axiom,
    ( ~ cUnsatisfiable(X)
    | rinvF(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(27,axiom,
    ( ~ cUnsatisfiable(X)
    | cd('SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(30,axiom,
    ( ~ cc(X)
    | ~ ra_Px1(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(32,axiom,
    ( ~ ccxcomp(X)
    | ra_Px1(X,'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(34,axiom,
    ( ~ cd(X)
    | rf(X,'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(35,axiom,
    ( ~ cd(X)
    | ccxcomp('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(36,axiom,
    ( ~ cd(X)
    | cc(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(38,axiom,
    ( ~ ca_Vx3(X)
    | rinvF(X,'SKOLEMAAAV6'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(39,axiom,
    ( ~ ca_Vx3(X)
    | cd('SKOLEMAAAV6'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(41,axiom,
    ( ~ cowlThing(X)
    | ~ rf(X,Y)
    | ~ rf(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

cnf(42,plain,
    ( ~ rf(X,Y)
    | ~ rf(X,Z)
    | Y = Z ),
    inference('REWRITE',[status(thm)],[41,20]) ).

cnf(43,axiom,
    ( ~ rinvF(X,Y)
    | rf(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

cnf(46,axiom,
    ( rinvR(X,Y)
    | ~ rr(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

cnf(48,axiom,
    cUnsatisfiable(i2003_11_14_17_21_37349),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

cnf(49,axiom,
    ( ~ rf(X,Y)
    | rr(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

cnf(51,plain,
    cd('SKOLEMAAAV1'(i2003_11_14_17_21_37349)),
    inference('HYPERRESOLVE',[status(thm)],[27,48]) ).

cnf(52,plain,
    rinvF(i2003_11_14_17_21_37349,'SKOLEMAAAV1'(i2003_11_14_17_21_37349)),
    inference('HYPERRESOLVE',[status(thm)],[26,48]) ).

cnf(55,plain,
    cc('SKOLEMAAAV1'(i2003_11_14_17_21_37349)),
    inference('HYPERRESOLVE',[status(thm)],[36,51]) ).

cnf(59,plain,
    rf('SKOLEMAAAV1'(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
    inference('HYPERRESOLVE',[status(thm)],[43,52]) ).

cnf(63,plain,
    ~ ra_Px1('SKOLEMAAAV1'(i2003_11_14_17_21_37349),X),
    inference('UR-RESOLVE',[status(thm)],[30,55]) ).

cnf(68,plain,
    rr('SKOLEMAAAV1'(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
    inference('HYPERRESOLVE',[status(thm)],[49,59]) ).

cnf(75,plain,
    ~ ccxcomp('SKOLEMAAAV1'(i2003_11_14_17_21_37349)),
    inference('UR-RESOLVE',[status(thm)],[32,63]) ).

cnf(76,plain,
    rinvR(i2003_11_14_17_21_37349,'SKOLEMAAAV1'(i2003_11_14_17_21_37349)),
    inference('HYPERRESOLVE',[status(thm)],[46,68]) ).

cnf(83,plain,
    ca_Vx3('SKOLEMAAAV1'(i2003_11_14_17_21_37349)),
    inference('HYPERRESOLVE',[status(thm)],[25,76,48]) ).

cnf(84,plain,
    cd('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_37349))),
    inference('HYPERRESOLVE',[status(thm)],[39,83]) ).

cnf(85,plain,
    rinvF('SKOLEMAAAV1'(i2003_11_14_17_21_37349),'SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_37349))),
    inference('HYPERRESOLVE',[status(thm)],[38,83]) ).

cnf(103,plain,
    ccxcomp('SKOLEMAAAV5'('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_37349)))),
    inference('HYPERRESOLVE',[status(thm)],[35,84]) ).

cnf(104,plain,
    rf('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_37349)),'SKOLEMAAAV5'('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_37349)))),
    inference('HYPERRESOLVE',[status(thm)],[34,84]) ).

cnf(108,plain,
    rf('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_37349)),'SKOLEMAAAV1'(i2003_11_14_17_21_37349)),
    inference('HYPERRESOLVE',[status(thm)],[43,85]) ).

cnf(118,plain,
    'SKOLEMAAAV5'('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_37349))) != 'SKOLEMAAAV1'(i2003_11_14_17_21_37349),
    inference('UR-RESOLVE',[status(thm)],[4,103,75]) ).

cnf(156,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[42,104,108]),118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 06:20:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.49  #<PACKAGE "SNARK-USER">
% 0.19/0.49  * 
% 0.19/0.49  SNARK-TPTP-OPTIONS
% 0.19/0.49  * 
% 0.19/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49   (USE-FACTORING :POS)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49  * 
% 0.19/0.49  "."
% 0.19/0.49  * 
% 0.19/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T06:20:10
% 0.19/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-07T06:20:10
% 0.37/0.56  
% 0.37/0.56  
% 0.37/0.56  #||
% 0.37/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.56  % SZS output start Refutation
% See solution above
% 0.39/0.56  ||#
% 0.39/0.56  
% 0.39/0.56  ; Summary of computation:
% 0.39/0.56  ;       697 formulas have been input or derived (from 126 formulas).
% 0.39/0.56  ;       156 (22%) were retained.  Of these,
% 0.39/0.56  ;           12 ( 8%) were simplified or subsumed later,
% 0.39/0.56  ;          144 (92%) are still being kept.
% 0.39/0.56  ; 
% 0.39/0.56  ; Run time in seconds excluding printing time:
% 0.39/0.56  ;     0.006   9%   Read assertion file          (1 call)
% 0.39/0.56  ;     0.002   3%   Assert                       (32 calls)
% 0.39/0.56  ;     0.007  10%   Process new row              (507 calls)
% 0.39/0.56  ;     0.012  17%   Resolution                   (250 calls)
% 0.39/0.56  ;     0.001   1%   Paramodulation               (125 calls)
% 0.39/0.56  ;     0.000   0%   Factoring                    (4 calls)
% 0.39/0.56  ;     0.002   3%   Condensing                   (58 calls)
% 0.39/0.56  ;     0.001   1%   Forward subsumption          (58 calls)
% 0.39/0.56  ;     0.001   1%   Backward subsumption         (47 calls)
% 0.39/0.56  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.39/0.56  ;     0.007  10%   Forward simplification       (489 calls)
% 0.39/0.56  ;     0.002   3%   Backward simplification      (155 calls)
% 0.39/0.56  ;     0.000   0%   Ordering                     (18 calls)
% 0.39/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.56  ;     0.029  41%   Other
% 0.39/0.56  ;     0.070        Total
% 0.39/0.56  ;     0.074        Real time
% 0.39/0.56  ; 
% 0.39/0.56  ; Term-hash-array has 183 terms in all.
% 0.39/0.56  ; Feature-vector-row-index has 45 entries (45 at peak, 47 added, 2 deleted).
% 0.39/0.56  ; Feature-vector-row-index has 85 nodes (85 at peak, 91 added, 6 deleted).
% 0.39/0.56  ;  Retrieved 27 possibly forward subsuming rows in 58 calls.
% 0.39/0.56  ;  Retrieved 8 possibly backward subsumed rows in 47 calls.
% 0.39/0.56  ; Path-index has 171 entries (171 at peak, 184 added, 13 deleted).
% 0.39/0.56  ; Path-index has 256 nodes (256 at peak, 266 added, 10 deleted).
% 0.39/0.56  ; Trie-index has 171 entries (171 at peak, 184 added, 13 deleted).
% 0.39/0.56  ; Trie-index has 335 nodes (335 at peak, 377 added, 42 deleted).
% 0.39/0.56  ; Retrieved 434 generalization terms in 618 calls.
% 0.39/0.56  ; Retrieved 109 instance terms in 107 calls.
% 0.39/0.56  ; Retrieved 4,664 unifiable terms in 1,785 calls.
% 0.39/0.56  ; 
% 0.39/0.56  ; The agenda of rows to process has 12 entries:
% 0.39/0.56  ;     2 with value 19              3 with value 21               1 with value 24
% 0.39/0.56  ;     6 with value 20
% 0.39/0.56  ; The agenda of rows to give has 22 entries:
% 0.39/0.56  ;     8 with value (4 19)          2 with value (4 22)           3 with value (4 24)
% 0.39/0.56  ;     3 with value (4 20)          1 with value (4 23)           1 with value (4 25)
% 0.39/0.56  ;     4 with value (4 21)
% 0.39/0.56  Evaluation took:
% 0.39/0.56    0.074 seconds of real time
% 0.39/0.56    0.068057 seconds of user run time
% 0.39/0.56    0.00602 seconds of system run time
% 0.39/0.56    0 calls to %EVAL
% 0.39/0.56    0 page faults and
% 0.39/0.56    4,962,256 bytes consed.
% 0.39/0.56  :PROOF-FOUND
% 0.39/0.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T06:20:10
% 0.39/0.56  :PROOF-FOUND
% 0.39/0.56  * 
%------------------------------------------------------------------------------