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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CSR036+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Fri Jul 15 23:18:16 EDT 2022

% Result   : Theorem 0.43s 0.63s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   33
% Syntax   : Number of clauses     :   62 (  60 unt;   0 nHn;  62 RR)
%            Number of literals    :   66 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

cnf(8,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

cnf(10,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

cnf(12,axiom,
    genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

cnf(14,axiom,
    genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

cnf(16,axiom,
    genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

cnf(18,axiom,
    genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

cnf(20,axiom,
    genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).

cnf(22,axiom,
    genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).

cnf(24,axiom,
    genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).

cnf(26,axiom,
    genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).

cnf(28,axiom,
    genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).

cnf(30,axiom,
    genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

cnf(32,axiom,
    genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).

cnf(34,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

cnf(36,axiom,
    genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).

cnf(38,axiom,
    genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).

cnf(40,axiom,
    genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).

cnf(42,axiom,
    genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).

cnf(44,axiom,
    genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).

cnf(46,axiom,
    genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just46) ).

cnf(48,axiom,
    genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).

cnf(50,axiom,
    genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).

cnf(52,axiom,
    genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).

cnf(54,axiom,
    genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).

cnf(56,axiom,
    genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).

cnf(58,axiom,
    genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).

cnf(60,axiom,
    genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).

cnf(62,axiom,
    genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).

cnf(64,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).

cnf(77,axiom,
    ( ~ disjointwith(X,Y)
    | ~ genls(Z,Y)
    | disjointwith(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just84) ).

cnf(142,axiom,
    ( ~ genls(X,Y)
    | ~ genls(Y,Z)
    | genls(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just152) ).

cnf(156,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query36) ).

cnf(198,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_2_2),
    inference('HYPERRESOLVE',[status(thm)],[77,64,6]) ).

cnf(199,plain,
    ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_15_72793),
    inference('UR-RESOLVE',[status(thm)],[77,62,156]) ).

cnf(202,plain,
    genls(c_tptpcol_15_72793,c_tptpcol_13_72791),
    inference('HYPERRESOLVE',[status(thm)],[142,60,58]) ).

cnf(204,plain,
    genls(c_tptpcol_13_72791,c_tptpcol_11_72774),
    inference('HYPERRESOLVE',[status(thm)],[142,56,54]) ).

cnf(206,plain,
    genls(c_tptpcol_11_72774,c_tptpcol_9_72709),
    inference('HYPERRESOLVE',[status(thm)],[142,52,50]) ).

cnf(208,plain,
    genls(c_tptpcol_9_72709,c_tptpcol_7_72707),
    inference('HYPERRESOLVE',[status(thm)],[142,48,46]) ).

cnf(210,plain,
    genls(c_tptpcol_7_72707,c_tptpcol_5_69635),
    inference('HYPERRESOLVE',[status(thm)],[142,44,42]) ).

cnf(212,plain,
    genls(c_tptpcol_5_69635,c_tptpcol_3_65538),
    inference('HYPERRESOLVE',[status(thm)],[142,40,38]) ).

cnf(214,plain,
    genls(c_tptpcol_3_65538,c_tptpcol_1_65536),
    inference('HYPERRESOLVE',[status(thm)],[142,36,34]) ).

cnf(215,plain,
    genls(c_tptpcol_15_22076,c_tptpcol_13_22071),
    inference('HYPERRESOLVE',[status(thm)],[142,32,30]) ).

cnf(217,plain,
    genls(c_tptpcol_13_22071,c_tptpcol_11_22023),
    inference('HYPERRESOLVE',[status(thm)],[142,28,26]) ).

cnf(219,plain,
    genls(c_tptpcol_11_22023,c_tptpcol_9_22021),
    inference('HYPERRESOLVE',[status(thm)],[142,24,22]) ).

cnf(221,plain,
    genls(c_tptpcol_9_22021,c_tptpcol_7_21508),
    inference('HYPERRESOLVE',[status(thm)],[142,20,18]) ).

cnf(223,plain,
    genls(c_tptpcol_7_21508,c_tptpcol_5_20483),
    inference('HYPERRESOLVE',[status(thm)],[142,16,14]) ).

cnf(225,plain,
    genls(c_tptpcol_5_20483,c_tptpcol_3_16386),
    inference('HYPERRESOLVE',[status(thm)],[142,12,10]) ).

cnf(287,plain,
    genls(c_tptpcol_15_72793,c_tptpcol_11_72774),
    inference('HYPERRESOLVE',[status(thm)],[142,204,202]) ).

cnf(295,plain,
    genls(c_tptpcol_11_72774,c_tptpcol_7_72707),
    inference('HYPERRESOLVE',[status(thm)],[142,208,206]) ).

cnf(303,plain,
    genls(c_tptpcol_7_72707,c_tptpcol_3_65538),
    inference('HYPERRESOLVE',[status(thm)],[142,212,210]) ).

cnf(307,plain,
    disjointwith(c_tptpcol_2_2,c_tptpcol_3_65538),
    inference('HYPERRESOLVE',[status(thm)],[77,214,198]) ).

cnf(310,plain,
    ~ disjointwith(c_tptpcol_15_72793,c_tptpcol_13_22071),
    inference('UR-RESOLVE',[status(thm)],[77,215,199]) ).

cnf(318,plain,
    genls(c_tptpcol_13_22071,c_tptpcol_9_22021),
    inference('HYPERRESOLVE',[status(thm)],[142,219,217]) ).

cnf(326,plain,
    genls(c_tptpcol_9_22021,c_tptpcol_5_20483),
    inference('HYPERRESOLVE',[status(thm)],[142,223,221]) ).

cnf(329,plain,
    genls(c_tptpcol_5_20483,c_tptpcol_2_2),
    inference('HYPERRESOLVE',[status(thm)],[142,225,8]) ).

cnf(402,plain,
    genls(c_tptpcol_11_72774,c_tptpcol_3_65538),
    inference('HYPERRESOLVE',[status(thm)],[142,303,295]) ).

cnf(415,plain,
    ~ disjointwith(c_tptpcol_13_22071,c_tptpcol_11_72774),
    inference('UR-RESOLVE',[status(thm)],[77,310,287]) ).

cnf(447,plain,
    genls(c_tptpcol_13_22071,c_tptpcol_5_20483),
    inference('HYPERRESOLVE',[status(thm)],[142,326,318]) ).

cnf(454,plain,
    disjointwith(c_tptpcol_3_65538,c_tptpcol_5_20483),
    inference('HYPERRESOLVE',[status(thm)],[77,329,307]) ).

cnf(595,plain,
    ~ disjointwith(c_tptpcol_13_22071,c_tptpcol_3_65538),
    inference('UR-RESOLVE',[status(thm)],[77,415,402]) ).

cnf(686,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[77,454,447]),595]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR036+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 11 13:58:52 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.20/0.43  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44  * 
% 0.20/0.44  * 
% 0.20/0.45  #<PACKAGE "SNARK-USER">
% 0.20/0.45  * 
% 0.20/0.45  SNARK-TPTP-OPTIONS
% 0.20/0.45  * 
% 0.20/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.45   (USE-FACTORING :POS)
% 0.20/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.45  * 
% 0.20/0.45  "."
% 0.20/0.45  * 
% 0.20/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T13:58:52
% 0.20/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-11T13:58:52
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (OR (NOT (|disjointwith| ?X ?Y)) (|disjointwith| ?Y ?X)).
% 0.20/0.49  WARNING:
% 0.20/0.49     |binarypredicate| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |thing| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.63  ; Declaring disjointwith to be commutative.
% 0.43/0.63  
% 0.43/0.63  #||
% 0.43/0.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.63  % SZS output start Refutation
% See solution above
% 0.48/0.63  ||#
% 0.48/0.63  
% 0.48/0.63  ; Summary of computation:
% 0.48/0.63  ;      5411 formulas have been input or derived (from 455 formulas).
% 0.48/0.63  ;       686 (13%) were retained.  Of these,
% 0.48/0.63  ;          686 (100%) are still being kept.
% 0.48/0.63  ; 
% 0.48/0.63  ; Run time in seconds excluding printing time:
% 0.48/0.63  ;     0.023  13%   Read assertion file          (1 call)
% 0.48/0.63  ;     0.003   2%   Assert                       (174 calls)
% 0.48/0.63  ;     0.046  26%   Process new row              (5,209 calls)
% 0.48/0.63  ;     0.039  22%   Resolution                   (908 calls)
% 0.48/0.63  ;     0.001   1%   Paramodulation               (454 calls)
% 0.48/0.63  ;     0.001   1%   Condensing                   (129 calls)
% 0.48/0.63  ;     0.000   0%   Forward subsumption          (129 calls)
% 0.48/0.63  ;     0.000   0%   Backward subsumption         (115 calls)
% 0.48/0.63  ;     0.000   0%   Clause clause subsumption    (22 calls)
% 0.48/0.63  ;     0.013   7%   Forward simplification       (5,205 calls)
% 0.48/0.63  ;     0.004   2%   Backward simplification      (686 calls)
% 0.48/0.63  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.48/0.63  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.63  ;     0.043  25%   Other
% 0.48/0.63  ;     0.175        Total
% 0.48/0.63  ;     0.178        Real time
% 0.48/0.63  ; 
% 0.48/0.63  ; Term-hash-array has 665 terms in all.
% 0.48/0.63  ; Feature-vector-row-index has 115 entries (115 at peak, 115 added, 0 deleted).
% 0.48/0.63  ; Feature-vector-row-index has 85 nodes (85 at peak, 85 added, 0 deleted).
% 0.48/0.63  ;  Retrieved 201 possibly forward subsuming rows in 129 calls.
% 0.48/0.63  ;  Retrieved 184 possibly backward subsumed rows in 115 calls.
% 0.48/0.63  ; Path-index has 705 entries (705 at peak, 705 added, 0 deleted).
% 0.48/0.63  ; Path-index has 330 nodes (330 at peak, 330 added, 0 deleted).
% 0.48/0.63  ; Trie-index has 705 entries (705 at peak, 705 added, 0 deleted).
% 0.48/0.63  ; Trie-index has 804 nodes (804 at peak, 804 added, 0 deleted).
% 0.48/0.63  ; Retrieved 4,505 generalization terms in 5,106 calls.
% 0.48/0.63  ; Retrieved 570 instance terms in 570 calls.
% 0.48/0.63  ; Retrieved 22,058 unifiable terms in 7,234 calls.
% 0.48/0.63  ; 
% 0.48/0.63  ; The agenda of rows to process has 27 entries:
% 0.48/0.63  ;    27 with value 8
% 0.48/0.63  ; The agenda of rows to give has 231 entries:
% 0.48/0.63  ;    18 with value (4 7)         213 with value (4 8)
% 0.48/0.63  Evaluation took:
% 0.48/0.63    0.178 seconds of real time
% 0.48/0.63    0.146088 seconds of user run time
% 0.48/0.63    0.032845 seconds of system run time
% 0.48/0.63    0 calls to %EVAL
% 0.48/0.63    0 page faults and
% 0.48/0.63    11,763,648 bytes consed.
% 0.48/0.63  :PROOF-FOUND
% 0.48/0.63  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T13:58:52
% 0.48/0.63  :PROOF-FOUND
% 0.48/0.63  * 
%------------------------------------------------------------------------------