TSTP Solution File: KRS083+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   28 (  15 unt;   0 nHn;  27 RR)
%            Number of literals    :   47 (   4 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   24 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != Y
    | ~ cc(X)
    | cc(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).

cnf(16,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(20,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rinvR(X,Y)
    | rinvF(Y,'SKOLEMAAAV1'(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(21,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rinvR(X,Y)
    | cd('SKOLEMAAAV1'(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(23,axiom,
    ( ~ cUnsatisfiable(X)
    | rinvF(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(24,axiom,
    ( ~ cUnsatisfiable(X)
    | cd('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(27,axiom,
    ( ~ cd(X)
    | rf(X,'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(28,axiom,
    ( ~ cd(X)
    | ~ cc('SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(29,axiom,
    ( ~ cd(X)
    | cc(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(31,axiom,
    ( ~ cowlThing(X)
    | ~ rf(X,Y)
    | ~ rf(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(32,plain,
    ( ~ rf(X,Y)
    | ~ rf(X,Z)
    | Y = Z ),
    inference('REWRITE',[status(thm)],[31,16]) ).

cnf(33,axiom,
    ( ~ rinvF(X,Y)
    | rf(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(36,axiom,
    ( rinvR(X,Y)
    | ~ rr(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(38,axiom,
    cUnsatisfiable(i2003_11_14_17_19_32337),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

cnf(39,axiom,
    ( ~ rf(X,Y)
    | rr(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

cnf(41,plain,
    cd('SKOLEMAAAV2'(i2003_11_14_17_19_32337)),
    inference('HYPERRESOLVE',[status(thm)],[24,38]) ).

cnf(42,plain,
    rinvF(i2003_11_14_17_19_32337,'SKOLEMAAAV2'(i2003_11_14_17_19_32337)),
    inference('HYPERRESOLVE',[status(thm)],[23,38]) ).

cnf(44,plain,
    cc('SKOLEMAAAV2'(i2003_11_14_17_19_32337)),
    inference('HYPERRESOLVE',[status(thm)],[29,41]) ).

cnf(48,plain,
    rf('SKOLEMAAAV2'(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),
    inference('HYPERRESOLVE',[status(thm)],[33,42]) ).

cnf(50,plain,
    rr('SKOLEMAAAV2'(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),
    inference('HYPERRESOLVE',[status(thm)],[39,48]) ).

cnf(54,plain,
    rinvR(i2003_11_14_17_19_32337,'SKOLEMAAAV2'(i2003_11_14_17_19_32337)),
    inference('HYPERRESOLVE',[status(thm)],[36,50]) ).

cnf(55,plain,
    cd('SKOLEMAAAV1'('SKOLEMAAAV2'(i2003_11_14_17_19_32337))),
    inference('HYPERRESOLVE',[status(thm)],[21,54,38]) ).

cnf(56,plain,
    rinvF('SKOLEMAAAV2'(i2003_11_14_17_19_32337),'SKOLEMAAAV1'('SKOLEMAAAV2'(i2003_11_14_17_19_32337))),
    inference('HYPERRESOLVE',[status(thm)],[20,54,38]) ).

cnf(61,plain,
    ~ cc('SKOLEMAAAV4'('SKOLEMAAAV1'('SKOLEMAAAV2'(i2003_11_14_17_19_32337)))),
    inference('UR-RESOLVE',[status(thm)],[28,55]) ).

cnf(62,plain,
    rf('SKOLEMAAAV1'('SKOLEMAAAV2'(i2003_11_14_17_19_32337)),'SKOLEMAAAV4'('SKOLEMAAAV1'('SKOLEMAAAV2'(i2003_11_14_17_19_32337)))),
    inference('HYPERRESOLVE',[status(thm)],[27,55]) ).

cnf(64,plain,
    rf('SKOLEMAAAV1'('SKOLEMAAAV2'(i2003_11_14_17_19_32337)),'SKOLEMAAAV2'(i2003_11_14_17_19_32337)),
    inference('HYPERRESOLVE',[status(thm)],[33,56]) ).

cnf(68,plain,
    'SKOLEMAAAV2'(i2003_11_14_17_19_32337) != 'SKOLEMAAAV4'('SKOLEMAAAV1'('SKOLEMAAAV2'(i2003_11_14_17_19_32337))),
    inference('UR-RESOLVE',[status(thm)],[2,61,44]) ).

cnf(81,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,62,64]),68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun  7 16:02:05 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:02:05
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-07T16:02:05
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;       282 formulas have been input or derived (from 72 formulas).
% 0.21/0.53  ;        81 (29%) were retained.  Of these,
% 0.21/0.53  ;            7 ( 9%) were simplified or subsumed later,
% 0.21/0.53  ;           74 (91%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.006  13%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.001   2%   Assert                       (25 calls)
% 0.21/0.53  ;     0.003   7%   Process new row              (206 calls)
% 0.21/0.53  ;     0.009  20%   Resolution                   (142 calls)
% 0.21/0.53  ;     0.001   2%   Paramodulation               (71 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.53  ;     0.002   4%   Condensing                   (38 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (38 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (35 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (13 calls)
% 0.21/0.53  ;     0.001   2%   Forward simplification       (198 calls)
% 0.21/0.53  ;     0.002   4%   Backward simplification      (80 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (10 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.021  46%   Other
% 0.21/0.53  ;     0.046        Total
% 0.21/0.53  ;     0.050        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 98 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 33 entries (33 at peak, 35 added, 2 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 65 nodes (65 at peak, 71 added, 6 deleted).
% 0.21/0.53  ;  Retrieved 8 possibly forward subsuming rows in 38 calls.
% 0.21/0.53  ;  Retrieved 7 possibly backward subsumed rows in 35 calls.
% 0.21/0.53  ; Path-index has 93 entries (93 at peak, 99 added, 6 deleted).
% 0.21/0.53  ; Path-index has 156 nodes (156 at peak, 159 added, 3 deleted).
% 0.21/0.53  ; Trie-index has 93 entries (93 at peak, 99 added, 6 deleted).
% 0.21/0.53  ; Trie-index has 179 nodes (179 at peak, 190 added, 11 deleted).
% 0.21/0.53  ; Retrieved 136 generalization terms in 191 calls.
% 0.21/0.53  ; Retrieved 46 instance terms in 44 calls.
% 0.21/0.53  ; Retrieved 2,355 unifiable terms in 868 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 12 entries:
% 0.21/0.53  ;     2 with value 18              3 with value 20               1 with value 23
% 0.21/0.53  ;     6 with value 19
% 0.21/0.53  ; The agenda of rows to give has 5 entries:
% 0.21/0.53  ;     2 with value (4 18)          2 with value (4 19)           1 with value (4 22)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.051 seconds of real time
% 0.21/0.53    0.043312 seconds of user run time
% 0.21/0.53    0.006999 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    3,804,288 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:02:05
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------