TSTP Solution File: KRS082+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 03:28:31 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    :   34 (   0 equ;  16 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ cUnsatisfiable(X)
    | rs(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(4,axiom,
    ( ~ cUnsatisfiable(X)
    | rp('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(6,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rp('SKOLEMAAAV1'(X),Y)
    | rr(Y,'SKOLEMAAAV3'(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(8,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rp('SKOLEMAAAV1'(X),Y)
    | ~ rr(Y,Z)
    | cc(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(10,axiom,
    ( ~ cUnsatisfiable(X)
    | ca(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(11,axiom,
    ( ~ cc(X)
    | ~ rinvR(X,Y)
    | ~ rinvP(Y,Z)
    | ~ rinvS(Z,U)
    | ~ ca(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(17,axiom,
    ( rinvP(X,Y)
    | ~ rp(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(19,axiom,
    ( rinvR(X,Y)
    | ~ rr(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(21,axiom,
    ( rinvS(X,Y)
    | ~ rs(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

cnf(23,axiom,
    cUnsatisfiable(i2003_11_14_17_19_28752),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

cnf(24,plain,
    ca(i2003_11_14_17_19_28752),
    inference('HYPERRESOLVE',[status(thm)],[10,23]) ).

cnf(25,plain,
    rs(i2003_11_14_17_19_28752,'SKOLEMAAAV1'(i2003_11_14_17_19_28752)),
    inference('HYPERRESOLVE',[status(thm)],[3,23]) ).

cnf(27,plain,
    rp('SKOLEMAAAV1'(i2003_11_14_17_19_28752),'SKOLEMAAAV2'(i2003_11_14_17_19_28752)),
    inference('HYPERRESOLVE',[status(thm)],[4,23]) ).

cnf(31,plain,
    rinvS('SKOLEMAAAV1'(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752),
    inference('HYPERRESOLVE',[status(thm)],[21,25]) ).

cnf(32,plain,
    rinvP('SKOLEMAAAV2'(i2003_11_14_17_19_28752),'SKOLEMAAAV1'(i2003_11_14_17_19_28752)),
    inference('HYPERRESOLVE',[status(thm)],[17,27]) ).

cnf(34,plain,
    rr('SKOLEMAAAV2'(i2003_11_14_17_19_28752),'SKOLEMAAAV3'('SKOLEMAAAV2'(i2003_11_14_17_19_28752))),
    inference('HYPERRESOLVE',[status(thm)],[6,27,23]) ).

cnf(43,plain,
    cc('SKOLEMAAAV3'('SKOLEMAAAV2'(i2003_11_14_17_19_28752))),
    inference('HYPERRESOLVE',[status(thm)],[8,34,23,27]) ).

cnf(44,plain,
    rinvR('SKOLEMAAAV3'('SKOLEMAAAV2'(i2003_11_14_17_19_28752)),'SKOLEMAAAV2'(i2003_11_14_17_19_28752)),
    inference('HYPERRESOLVE',[status(thm)],[19,34]) ).

cnf(45,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,43,32,31,24]),44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun  7 18:28:25 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-07T18:28:25
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-07T18:28:25
% 0.20/0.50  WARNING:
% 0.20/0.50     |cowlNothing| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |cowlThing| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/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  ;        74 formulas have been input or derived (from 40 formulas).
% 0.20/0.52  ;        45 (61%) were retained.  Of these,
% 0.20/0.52  ;           45 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.003   8%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   3%   Assert                       (10 calls)
% 0.20/0.52  ;     0.003   8%   Process new row              (62 calls)
% 0.20/0.52  ;     0.000   0%   Resolution                   (78 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (39 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (8 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (28 calls)
% 0.20/0.52  ;     0.001   3%   Forward subsumption          (28 calls)
% 0.20/0.52  ;     0.001   3%   Backward subsumption         (25 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.20/0.52  ;     0.000   0%   Forward simplification       (56 calls)
% 0.20/0.52  ;     0.001   3%   Backward simplification      (45 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (14 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.026  72%   Other
% 0.20/0.52  ;     0.036        Total
% 0.20/0.52  ;     0.037        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 66 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 4 possibly forward subsuming rows in 28 calls.
% 0.20/0.52  ;  Retrieved 0 possibly backward subsumed rows in 25 calls.
% 0.20/0.52  ; Path-index has 67 entries (67 at peak, 67 added, 0 deleted).
% 0.20/0.52  ; Path-index has 147 nodes (147 at peak, 147 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 67 entries (67 at peak, 67 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 152 nodes (152 at peak, 152 added, 0 deleted).
% 0.20/0.52  ; Retrieved 9 generalization terms in 27 calls.
% 0.20/0.52  ; Retrieved 19 instance terms in 19 calls.
% 0.20/0.52  ; Retrieved 523 unifiable terms in 291 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to give has 5 entries:
% 0.20/0.52  ;     2 with value (4 11)          3 with value (4 12)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.037 seconds of real time
% 0.20/0.52    0.033894 seconds of user run time
% 0.20/0.52    0.003721 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,816,512 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T18:28:25
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------