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SNARK---20120808r022.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS107+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 03:28:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   26 (  14 unt;   0 nHn;  26 RR)
%            Number of literals    :   41 (   2 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(37,axiom,
    ( ~ cUnsatisfiable(X)
    | rrx3(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(38,axiom,
    ( ~ cUnsatisfiable(X)
    | cc1('SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(39,axiom,
    ( ~ cUnsatisfiable(X)
    | rrx4(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(40,axiom,
    ( ~ cUnsatisfiable(X)
    | cc2('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(41,axiom,
    ( ~ cUnsatisfiable(X)
    | ca_Cx1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(45,axiom,
    ( ca_Ax2(X)
    | ~ cc2(X)
    | ~ cc1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(46,axiom,
    ( ~ ca_Cx1(X)
    | ra_Px1(X,'SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

cnf(50,axiom,
    ( ca_Cx1xcomp(X)
    | ~ rrx3(X,Y)
    | ~ ca_Ax2(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(51,axiom,
    ( ~ ca_Cx1xcomp(X)
    | ~ ra_Px1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

cnf(53,axiom,
    ( ~ rrx(X,Y)
    | ~ rrx(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

cnf(58,axiom,
    cUnsatisfiable(i2003_11_14_17_21_01226),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

cnf(63,axiom,
    ( ~ rrx4(X,Y)
    | rrx(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

cnf(66,axiom,
    ( ~ rrx3(X,Y)
    | rrx(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

cnf(67,plain,
    ca_Cx1(i2003_11_14_17_21_01226),
    inference('HYPERRESOLVE',[status(thm)],[41,58]) ).

cnf(68,plain,
    cc1('SKOLEMAAAV1'(i2003_11_14_17_21_01226)),
    inference('HYPERRESOLVE',[status(thm)],[38,58]) ).

cnf(69,plain,
    cc2('SKOLEMAAAV2'(i2003_11_14_17_21_01226)),
    inference('HYPERRESOLVE',[status(thm)],[40,58]) ).

cnf(70,plain,
    rrx3(i2003_11_14_17_21_01226,'SKOLEMAAAV1'(i2003_11_14_17_21_01226)),
    inference('HYPERRESOLVE',[status(thm)],[37,58]) ).

cnf(71,plain,
    rrx4(i2003_11_14_17_21_01226,'SKOLEMAAAV2'(i2003_11_14_17_21_01226)),
    inference('HYPERRESOLVE',[status(thm)],[39,58]) ).

cnf(73,plain,
    ra_Px1(i2003_11_14_17_21_01226,'SKOLEMAAAV3'(i2003_11_14_17_21_01226)),
    inference('HYPERRESOLVE',[status(thm)],[46,67]) ).

cnf(74,plain,
    rrx(i2003_11_14_17_21_01226,'SKOLEMAAAV1'(i2003_11_14_17_21_01226)),
    inference('HYPERRESOLVE',[status(thm)],[66,70]) ).

cnf(76,plain,
    rrx(i2003_11_14_17_21_01226,'SKOLEMAAAV2'(i2003_11_14_17_21_01226)),
    inference('HYPERRESOLVE',[status(thm)],[63,71]) ).

cnf(80,plain,
    ~ ca_Cx1xcomp(i2003_11_14_17_21_01226),
    inference('UR-RESOLVE',[status(thm)],[51,73]) ).

cnf(81,plain,
    ~ ca_Ax2('SKOLEMAAAV1'(i2003_11_14_17_21_01226)),
    inference('UR-RESOLVE',[status(thm)],[50,80,70]) ).

cnf(83,plain,
    'SKOLEMAAAV1'(i2003_11_14_17_21_01226) = 'SKOLEMAAAV2'(i2003_11_14_17_21_01226),
    inference('HYPERRESOLVE',[status(thm)],[53,76,74]) ).

cnf(84,plain,
    cc2('SKOLEMAAAV1'(i2003_11_14_17_21_01226)),
    inference('REWRITE',[status(thm)],[69,83,theory(equality)]) ).

cnf(87,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[45,84,68]),81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS107+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun  7 09:55:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T09:55:55
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-07T09:55:55
% 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
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       166 formulas have been input or derived (from 77 formulas).
% 0.20/0.53  ;        87 (52%) were retained.  Of these,
% 0.20/0.53  ;            6 ( 7%) were simplified or subsumed later,
% 0.20/0.53  ;           81 (93%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.010  20%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.003   6%   Assert                       (53 calls)
% 0.20/0.53  ;     0.005  10%   Process new row              (125 calls)
% 0.20/0.53  ;     0.004   8%   Resolution                   (152 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (76 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.53  ;     0.001   2%   Condensing                   (71 calls)
% 0.20/0.53  ;     0.001   2%   Forward subsumption          (71 calls)
% 0.20/0.53  ;     0.003   6%   Backward subsumption         (66 calls)
% 0.20/0.53  ;     0.001   2%   Clause clause subsumption    (27 calls)
% 0.20/0.53  ;     0.002   4%   Forward simplification       (118 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (87 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (12 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  ;     0.021  41%   Other
% 0.20/0.53  ;     0.051        Total
% 0.20/0.53  ;     0.054        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 113 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 64 entries (64 at peak, 66 added, 2 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 114 nodes (114 at peak, 120 added, 6 deleted).
% 0.20/0.53  ;  Retrieved 21 possibly forward subsuming rows in 71 calls.
% 0.20/0.53  ;  Retrieved 17 possibly backward subsumed rows in 66 calls.
% 0.20/0.53  ; Path-index has 108 entries (109 at peak, 114 added, 6 deleted).
% 0.20/0.53  ; Path-index has 140 nodes (140 at peak, 146 added, 6 deleted).
% 0.20/0.53  ; Trie-index has 108 entries (109 at peak, 114 added, 6 deleted).
% 0.20/0.53  ; Trie-index has 120 nodes (121 at peak, 129 added, 9 deleted).
% 0.20/0.53  ; Retrieved 24 generalization terms in 35 calls.
% 0.20/0.53  ; Retrieved 22 instance terms in 20 calls.
% 0.20/0.53  ; Retrieved 1,156 unifiable terms in 512 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 3 entries:
% 0.20/0.53  ;     3 with value 7
% 0.20/0.53  ; The agenda of rows to give has 7 entries:
% 0.20/0.53  ;     1 with value (4 7)           1 with value (4 9)            1 with value (4 11)
% 0.20/0.53  ;     1 with value (4 8)           3 with value (4 10)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.055 seconds of real time
% 0.20/0.53    0.044643 seconds of user run time
% 0.20/0.53    0.009696 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    3,692,840 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T09:55:55
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------