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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT376+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 06:44:54 EDT 2022

% Result   : Theorem 1.31s 1.50s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   43 (  18 unt;  20 nHn;  24 RR)
%            Number of literals    :   89 (   2 equ;  30 neg)
%            Maximal clause size   :   23 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-5 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v2_setfam_1('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).

cnf(2,negated_conjecture,
    ~ r3_yellow20(k5_waybel34('SKOLEMAAAV1'),k4_waybel34('SKOLEMAAAV1'),k7_waybel34('SKOLEMAAAV1'),k9_waybel34('SKOLEMAAAV1'),k8_waybel34('SKOLEMAAAV1')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).

cnf(43,axiom,
    ( v2_setfam_1(X)
    | ~ v1_xboole_0(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).

cnf(89,axiom,
    ( v1_xboole_0(X)
    | l2_altcat_1(k4_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).

cnf(96,axiom,
    ( v1_xboole_0(X)
    | l2_altcat_1(k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).

cnf(98,axiom,
    ( v2_setfam_1(X)
    | v16_functor0(k6_waybel34(X),k4_waybel34(X),k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).

cnf(99,axiom,
    ( v2_setfam_1(X)
    | m2_functor0(k6_waybel34(X),k4_waybel34(X),k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).

cnf(103,axiom,
    ( v1_xboole_0(X)
    | ~ v3_struct_0(k8_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

cnf(104,axiom,
    ( v1_xboole_0(X)
    | v2_altcat_1(k8_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

cnf(106,axiom,
    ( v1_xboole_0(X)
    | v3_altcat_2(k8_waybel34(X),k4_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

cnf(107,axiom,
    ( v1_xboole_0(X)
    | m1_altcat_2(k8_waybel34(X),k4_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

cnf(108,axiom,
    ( v2_setfam_1(X)
    | ~ v3_struct_0(k9_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

cnf(109,axiom,
    ( v2_setfam_1(X)
    | v2_altcat_1(k9_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

cnf(111,axiom,
    ( v2_setfam_1(X)
    | v3_altcat_2(k9_waybel34(X),k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

cnf(112,axiom,
    ( v2_setfam_1(X)
    | m1_altcat_2(k9_waybel34(X),k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

cnf(144,axiom,
    ( v2_setfam_1(X)
    | ~ v3_struct_0(k4_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).

cnf(145,axiom,
    ( v2_setfam_1(X)
    | v2_altcat_1(k4_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).

cnf(148,axiom,
    ( v2_setfam_1(X)
    | v11_altcat_1(k4_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).

cnf(149,axiom,
    ( v2_setfam_1(X)
    | v12_altcat_1(k4_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).

cnf(162,axiom,
    ( v2_setfam_1(X)
    | ~ v3_struct_0(k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).

cnf(163,axiom,
    ( v2_setfam_1(X)
    | v2_altcat_1(k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).

cnf(166,axiom,
    ( v2_setfam_1(X)
    | v11_altcat_1(k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).

cnf(167,axiom,
    ( v2_setfam_1(X)
    | v12_altcat_1(k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).

cnf(177,axiom,
    ( v2_setfam_1(X)
    | v21_functor0(k6_waybel34(X),k4_waybel34(X),k5_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).

cnf(239,axiom,
    ( v2_setfam_1(X)
    | k15_functor0(k4_waybel34(X),k5_waybel34(X),k6_waybel34(X)) = k7_waybel34(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).

cnf(246,axiom,
    ( v3_struct_0(X)
    | ~ v2_altcat_1(X)
    | ~ v11_altcat_1(X)
    | ~ v12_altcat_1(X)
    | ~ l2_altcat_1(X)
    | v3_struct_0(Y)
    | ~ v2_altcat_1(Y)
    | ~ v11_altcat_1(Y)
    | ~ v12_altcat_1(Y)
    | ~ l2_altcat_1(Y)
    | ~ v16_functor0(Z,X,Y)
    | ~ m2_functor0(Z,X,Y)
    | ~ v21_functor0(Z,X,Y)
    | v3_struct_0(U)
    | ~ v2_altcat_1(U)
    | ~ v3_altcat_2(U,X)
    | ~ m1_altcat_2(U,X)
    | v3_struct_0(V)
    | ~ v2_altcat_1(V)
    | ~ v3_altcat_2(V,Y)
    | ~ m1_altcat_2(V,Y)
    | ~ r3_yellow20(X,Y,Z,U,V)
    | r3_yellow20(Y,X,k15_functor0(X,Y,Z),V,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).

cnf(247,axiom,
    ( v2_setfam_1(X)
    | r3_yellow20(k4_waybel34(X),k5_waybel34(X),k6_waybel34(X),k8_waybel34(X),k9_waybel34(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_waybel34) ).

cnf(263,plain,
    ~ v1_xboole_0('SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[43,1]) ).

cnf(356,plain,
    ~ v3_struct_0(k9_waybel34('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[108,1]) ).

cnf(358,plain,
    v2_altcat_1(k9_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[1,109]) ).

cnf(362,plain,
    ~ v3_struct_0(k4_waybel34('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[144,1]) ).

cnf(364,plain,
    v2_altcat_1(k4_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[1,145]) ).

cnf(370,plain,
    v11_altcat_1(k4_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[1,148]) ).

cnf(372,plain,
    v12_altcat_1(k4_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[1,149]) ).

cnf(386,plain,
    ~ v3_struct_0(k5_waybel34('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[162,1]) ).

cnf(388,plain,
    v2_altcat_1(k5_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[1,163]) ).

cnf(394,plain,
    v11_altcat_1(k5_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[1,166]) ).

cnf(396,plain,
    v12_altcat_1(k5_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[1,167]) ).

cnf(634,plain,
    k15_functor0(k4_waybel34('SKOLEMAAAV1'),k5_waybel34('SKOLEMAAAV1'),k6_waybel34('SKOLEMAAAV1')) = k7_waybel34('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[1,239]) ).

cnf(677,plain,
    l2_altcat_1(k5_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[263,96]) ).

cnf(678,plain,
    l2_altcat_1(k4_waybel34('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[263,89]) ).

cnf(683,plain,
    ~ v3_struct_0(k8_waybel34('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[103,263]) ).

cnf(3001,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[246,678,364,370,372,388,394,396,677,98,99,177,104,106,107,358,111,112,247]),2,634,356,683,386,362,263,1,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : LAT376+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n018.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jun 29 08:37:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45  * 
% 0.17/0.45  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T08:37:00
% 0.17/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-29T08:37:00
% 0.17/0.52  WARNING:
% 0.17/0.52     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v4_yellow18| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v1_funcop_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v8_functor0| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v12_functor0| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v6_functor0| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.52  WARNING:
% 0.17/0.52     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.31/1.50  
% 1.31/1.50  
% 1.31/1.50  #||
% 1.31/1.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.50  % SZS output start Refutation
% See solution above
% 1.31/1.51  ||#
% 1.31/1.51  
% 1.31/1.51  ; Summary of computation:
% 1.31/1.51  ;      7538 formulas have been input or derived (from 398 formulas).
% 1.31/1.51  ;      3001 (40%) were retained.  Of these,
% 1.31/1.51  ;           10 ( 0%) were simplified or subsumed later,
% 1.31/1.51  ;         2991 (100%) are still being kept.
% 1.31/1.51  ; 
% 1.31/1.51  ; Run time in seconds excluding printing time:
% 1.31/1.51  ;     0.040   4%   Read assertion file          (1 call)
% 1.31/1.51  ;     0.010   1%   Assert                       (127 calls)
% 1.31/1.51  ;     0.114  11%   Process new row              (6,797 calls)
% 1.31/1.51  ;     0.764  73%   Resolution                   (794 calls)
% 1.31/1.51  ;     0.002   0%   Paramodulation               (397 calls)
% 1.31/1.51  ;     0.000   0%   Factoring                    (62 calls)
% 1.31/1.51  ;     0.003   0%   Condensing                   (559 calls)
% 1.31/1.51  ;     0.009   1%   Forward subsumption          (559 calls)
% 1.31/1.51  ;     0.008   1%   Backward subsumption         (434 calls)
% 1.31/1.51  ;     0.000   0%   Clause clause subsumption    (213 calls)
% 1.31/1.51  ;     0.044   4%   Forward simplification       (6,744 calls)
% 1.31/1.51  ;     0.005   0%   Backward simplification      (3,001 calls)
% 1.31/1.51  ;     0.003   0%   Ordering                     (540 calls)
% 1.31/1.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.31/1.51  ;     0.003   0%   Purity testing               (1 call)
% 1.31/1.51  ;     0.044   4%   Other
% 1.31/1.51  ;     1.049        Total
% 1.31/1.51  ;     1.053        Real time
% 1.31/1.51  ; 
% 1.31/1.51  ; Term-hash-array has 4,998 terms in all.
% 1.31/1.51  ; Feature-vector-row-index has 433 entries (433 at peak, 434 added, 1 deleted).
% 1.31/1.51  ; Feature-vector-row-index has 1,109 nodes (1,109 at peak, 1,112 added, 3 deleted).
% 1.31/1.51  ;  Retrieved 771 possibly forward subsuming rows in 559 calls.
% 1.31/1.51  ;  Retrieved 183 possibly backward subsumed rows in 434 calls.
% 1.31/1.51  ; Path-index has 5,003 entries (5,003 at peak, 5,013 added, 10 deleted).
% 1.31/1.51  ; Path-index has 3,443 nodes (3,443 at peak, 3,452 added, 9 deleted).
% 1.31/1.51  ; Trie-index has 5,003 entries (5,003 at peak, 5,013 added, 10 deleted).
% 1.31/1.51  ; Trie-index has 9,774 nodes (9,774 at peak, 9,783 added, 9 deleted).
% 1.31/1.51  ; Retrieved 6,477 generalization terms in 9,991 calls.
% 1.31/1.51  ; Retrieved 2,577 instance terms in 2,566 calls.
% 1.31/1.51  ; Retrieved 1,233,746 unifiable terms in 302,152 calls.
% 1.31/1.51  ; 
% 1.31/1.51  ; The agenda of rows to give has 2595 entries:
% 1.31/1.51  ;    50 with value (4 7)         479 with value (4 13)           8 with value (4 19)
% 1.31/1.51  ;    99 with value (4 8)         587 with value (4 14)           6 with value (4 20)
% 1.31/1.51  ;   264 with value (4 9)         241 with value (4 15)           3 with value (4 26)
% 1.31/1.51  ;   218 with value (4 10)        162 with value (4 16)           4 with value (4 37)
% 1.31/1.51  ;   177 with value (4 11)         14 with value (4 18)           4 with value (4 38)
% 1.31/1.51  ;   279 with value (4 12)
% 1.31/1.51  Evaluation took:
% 1.31/1.51    1.053 seconds of real time
% 1.31/1.51    0.991947 seconds of user run time
% 1.31/1.51    0.060913 seconds of system run time
% 1.31/1.51    [Run times include 0.07 seconds GC run time.]
% 1.31/1.51    0 calls to %EVAL
% 1.31/1.51    0 page faults and
% 1.31/1.51    106,115,296 bytes consed.
% 1.31/1.51  :PROOF-FOUND
% 1.31/1.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T08:37:01
% 1.31/1.51  :PROOF-FOUND
% 1.31/1.51  * 
%------------------------------------------------------------------------------