TSTP Solution File: KRS104+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS104+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 03:28:35 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   49 (  11 unt;  17 nHn;  31 RR)
%            Number of literals    :   90 (   0 equ;  29 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :   46 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ ra_Px5(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(8,axiom,
    ( cUnsatisfiablexcomp(X)
    | ~ ca_Cx7(X)
    | ~ ca_Cx8(X)
    | ~ ca_Cx6(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(9,axiom,
    ( ~ cUnsatisfiablexcomp(X)
    | ra_Px5(X,'SKOLEMAAAU2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(11,axiom,
    ( ~ ca(X)
    | ca_Cx1(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(12,axiom,
    ( ~ cb(X)
    | ra_Px3(X,'SKOLEMAAAU3'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(14,axiom,
    ( ~ cb(X)
    | ccxcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

cnf(15,axiom,
    ( ~ cbxcomp(X)
    | ~ ra_Px3(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

cnf(17,axiom,
    ( ~ cc(X)
    | ra_Px2(X,'SKOLEMAAAU5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

cnf(19,axiom,
    ( ~ ccxcomp(X)
    | ~ ra_Px2(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

cnf(21,axiom,
    ( ~ ca_Cx1(X)
    | cbxcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

cnf(22,axiom,
    ( ~ ca_Cx1(X)
    | ccxcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

cnf(29,axiom,
    ( ca_Cx6(X)
    | ra_Px6(X,'SKOLEMAAAU9'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

cnf(30,axiom,
    ( ~ ca_Cx6xcomp(X)
    | ca(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

cnf(31,axiom,
    ( ~ ca_Cx6xcomp(X)
    | cb(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

cnf(34,axiom,
    ( ca_Cx6xcomp(X)
    | ~ ra_Px6(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

cnf(36,axiom,
    ( ca_Cx7(X)
    | ~ ra_Px7(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

cnf(37,axiom,
    ( ~ ca_Cx7xcomp(X)
    | cc(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

cnf(38,axiom,
    ( ~ ca_Cx7xcomp(X)
    | ca(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

cnf(41,axiom,
    ( ca_Cx7xcomp(X)
    | ra_Px7(X,'SKOLEMAAAU12'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

cnf(43,axiom,
    ( ca_Cx8(X)
    | ra_Px8(X,'SKOLEMAAAU13'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

cnf(45,axiom,
    ( ca_Cx8xcomp(X)
    | ~ ra_Px8(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

cnf(46,axiom,
    ( ~ ca_Cx8xcomp(X)
    | cc(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

cnf(47,axiom,
    ( ~ ca_Cx8xcomp(X)
    | cb(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

cnf(49,axiom,
    cUnsatisfiable(i2003_11_14_17_20_50869),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).

cnf(50,plain,
    ~ ra_Px5(i2003_11_14_17_20_50869,X),
    inference('UR-RESOLVE',[status(thm)],[3,49]) ).

cnf(55,plain,
    ( ca_Cx6(X)
    | ca_Cx6xcomp(X) ),
    inference('HYPERRESOLVE',[status(thm)],[34,29]) ).

cnf(56,plain,
    ( ca_Cx7xcomp(X)
    | ca_Cx7(X) ),
    inference('HYPERRESOLVE',[status(thm)],[36,41]) ).

cnf(57,plain,
    ( ca_Cx8(X)
    | ca_Cx8xcomp(X) ),
    inference('HYPERRESOLVE',[status(thm)],[45,43]) ).

cnf(58,plain,
    ~ cUnsatisfiablexcomp(i2003_11_14_17_20_50869),
    inference('UR-RESOLVE',[status(thm)],[9,50]) ).

cnf(64,plain,
    ( ca_Cx6(X)
    | cb(X) ),
    inference('HYPERRESOLVE',[status(thm)],[31,55]) ).

cnf(65,plain,
    ( ca_Cx6(X)
    | ca(X) ),
    inference('HYPERRESOLVE',[status(thm)],[30,55]) ).

cnf(67,plain,
    ( ca_Cx7(X)
    | ca(X) ),
    inference('HYPERRESOLVE',[status(thm)],[38,56]) ).

cnf(68,plain,
    ( ca_Cx7(X)
    | cc(X) ),
    inference('HYPERRESOLVE',[status(thm)],[37,56]) ).

cnf(69,plain,
    ( ca_Cx8(X)
    | cb(X) ),
    inference('HYPERRESOLVE',[status(thm)],[47,57]) ).

cnf(70,plain,
    ( ca_Cx8(X)
    | cc(X) ),
    inference('HYPERRESOLVE',[status(thm)],[46,57]) ).

cnf(74,plain,
    ( ca_Cx6(X)
    | ra_Px3(X,'SKOLEMAAAU3'(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[12,64]) ).

cnf(77,plain,
    ( ca_Cx7(X)
    | ra_Px2(X,'SKOLEMAAAU5'(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[17,68]) ).

cnf(78,plain,
    ( ca_Cx8(X)
    | ccxcomp(X) ),
    inference('HYPERRESOLVE',[status(thm)],[14,69]) ).

cnf(80,plain,
    ( ca_Cx8(X)
    | ra_Px2(X,'SKOLEMAAAU5'(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[17,70]) ).

cnf(86,plain,
    ca_Cx8(X),
    inference('HYPERRESOLVE',[status(thm)],[19,80,78]) ).

cnf(87,plain,
    ( cUnsatisfiablexcomp(X)
    | ~ ca_Cx7(X)
    | ~ ca_Cx6(X) ),
    inference('REWRITE',[status(thm)],[8,86]) ).

cnf(91,plain,
    ( ca(X)
    | cUnsatisfiablexcomp(X) ),
    inference('HYPERRESOLVE',[status(thm)],[87,67,65]) ).

cnf(92,plain,
    ca(i2003_11_14_17_20_50869),
    inference('UR-RESOLVE',[status(thm)],[91,58]) ).

cnf(94,plain,
    ca_Cx1(i2003_11_14_17_20_50869),
    inference('HYPERRESOLVE',[status(thm)],[11,92]) ).

cnf(95,plain,
    ccxcomp(i2003_11_14_17_20_50869),
    inference('HYPERRESOLVE',[status(thm)],[22,94]) ).

cnf(96,plain,
    cbxcomp(i2003_11_14_17_20_50869),
    inference('HYPERRESOLVE',[status(thm)],[21,94]) ).

cnf(98,plain,
    ca_Cx7(i2003_11_14_17_20_50869),
    inference('HYPERRESOLVE',[status(thm)],[19,95,77]) ).

cnf(100,plain,
    ca_Cx6(i2003_11_14_17_20_50869),
    inference('HYPERRESOLVE',[status(thm)],[15,96,74]) ).

cnf(105,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[87,98,58]),100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS104+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 09:34:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:34:39
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-07T09:34:39
% 0.19/0.49  WARNING:
% 0.19/0.49     |cowlNothing| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |cowlThing| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       196 formulas have been input or derived (from 95 formulas).
% 0.19/0.52  ;       105 (54%) were retained.  Of these,
% 0.19/0.52  ;           20 (19%) were simplified or subsumed later,
% 0.19/0.52  ;           85 (81%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.004   9%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   4%   Assert                       (24 calls)
% 0.19/0.52  ;     0.007  15%   Process new row              (182 calls)
% 0.19/0.52  ;     0.003   6%   Resolution                   (188 calls)
% 0.19/0.52  ;     0.001   2%   Paramodulation               (94 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (41 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (145 calls)
% 0.19/0.52  ;     0.001   2%   Forward subsumption          (145 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (89 calls)
% 0.19/0.52  ;     0.001   2%   Clause clause subsumption    (58 calls)
% 0.19/0.52  ;     0.002   4%   Forward simplification       (177 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (105 calls)
% 0.19/0.52  ;     0.002   4%   Ordering                     (79 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.52  ;     0.021  45%   Other
% 0.19/0.52  ;     0.047        Total
% 0.19/0.52  ;     0.052        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 65 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 69 entries (80 at peak, 89 added, 20 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 103 nodes (120 at peak, 131 added, 28 deleted).
% 0.19/0.52  ;  Retrieved 160 possibly forward subsuming rows in 145 calls.
% 0.19/0.52  ;  Retrieved 12 possibly backward subsumed rows in 89 calls.
% 0.19/0.52  ; Path-index has 62 entries (62 at peak, 66 added, 4 deleted).
% 0.19/0.52  ; Path-index has 137 nodes (137 at peak, 141 added, 4 deleted).
% 0.19/0.52  ; Trie-index has 62 entries (62 at peak, 66 added, 4 deleted).
% 0.19/0.52  ; Trie-index has 123 nodes (123 at peak, 131 added, 8 deleted).
% 0.19/0.52  ; Retrieved 18 generalization terms in 70 calls.
% 0.19/0.52  ; Retrieved 16 instance terms in 15 calls.
% 0.19/0.52  ; Retrieved 439 unifiable terms in 403 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 3 entries:
% 0.19/0.52  ;     3 with value 14
% 0.19/0.52  ; The agenda of rows to give has 9 entries:
% 0.19/0.52  ;     1 with value (4 10)          1 with value (4 12)           1 with value (4 15)
% 0.19/0.52  ;     4 with value (4 11)          2 with value (4 14)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.053 seconds of real time
% 0.19/0.52    0.044362 seconds of user run time
% 0.19/0.52    0.007981 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    4,802,752 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:34:39
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------