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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT303+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 06:43:41 EDT 2022

% Result   : Theorem 0.77s 0.94s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   41 (  25 unt;   9 nHn;  41 RR)
%            Number of literals    :   81 (   6 equ;  38 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_filter_2) ).

cnf(2,negated_conjecture,
    v10_lattices('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_filter_2) ).

cnf(3,negated_conjecture,
    l3_lattices('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_filter_2) ).

cnf(4,negated_conjecture,
    m1_subset_1('SKOLEMAAAV2',u1_struct_0('SKOLEMAAAV1')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_filter_2) ).

cnf(5,negated_conjecture,
    m2_filter_2(k6_domain_1(u1_struct_0('SKOLEMAAAV1'),'SKOLEMAAAV2'),'SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_filter_2) ).

cnf(6,negated_conjecture,
    ~ v13_lattices('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_filter_2) ).

cnf(22,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ l3_lattices(X)
    | ~ m1_subset_1(Y,u1_struct_0(X))
    | k5_filter_2(X,Y) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).

cnf(26,axiom,
    ( ~ l3_lattices(X)
    | l3_lattices(k1_lattice2(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).

cnf(27,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ l3_lattices(X)
    | ~ m1_subset_1(Y,u1_struct_0(X))
    | m1_subset_1(k5_filter_2(X,Y),u1_struct_0(k1_lattice2(X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).

cnf(29,axiom,
    ( ~ l1_lattices(X)
    | l1_struct_0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).

cnf(30,axiom,
    ( ~ l2_lattices(X)
    | l1_struct_0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).

cnf(31,axiom,
    ( ~ l3_lattices(X)
    | l1_lattices(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).

cnf(32,axiom,
    ( ~ l3_lattices(X)
    | l2_lattices(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).

cnf(58,axiom,
    ( v3_struct_0(X)
    | ~ l3_lattices(X)
    | ~ v3_struct_0(k1_lattice2(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).

cnf(59,axiom,
    ( v3_struct_0(X)
    | ~ l1_struct_0(X)
    | ~ v1_xboole_0(u1_struct_0(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

cnf(72,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ l3_lattices(X)
    | v10_lattices(k1_lattice2(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).

cnf(124,axiom,
    ( v1_xboole_0(X)
    | ~ m1_subset_1(Y,X)
    | k6_domain_1(X,Y) = k1_tarski(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).

cnf(125,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ l3_lattices(X)
    | ~ m1_filter_2(Y,X)
    | m1_filter_0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).

cnf(130,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ l3_lattices(X)
    | ~ m1_subset_1(Y,u1_struct_0(X))
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(X),Y),X)
    | v14_lattices(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_filter_0) ).

cnf(132,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ l3_lattices(X)
    | ~ m2_filter_2(Y,X)
    | m1_filter_2(Y,k1_lattice2(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).

cnf(140,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ l3_lattices(X)
    | v13_lattices(X)
    | ~ v14_lattices(k1_lattice2(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_lattice2) ).

cnf(158,plain,
    l1_lattices('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[31,3]) ).

cnf(181,plain,
    l3_lattices(k1_lattice2('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[26,3]) ).

cnf(203,plain,
    ~ v3_struct_0(k1_lattice2('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[58,1,3]) ).

cnf(269,plain,
    v10_lattices(k1_lattice2('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[72,1,2,3]) ).

cnf(308,plain,
    ( v1_xboole_0(u1_struct_0('SKOLEMAAAV1'))
    | k6_domain_1(u1_struct_0('SKOLEMAAAV1'),'SKOLEMAAAV2') = k1_tarski('SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[124,4]) ).

cnf(336,plain,
    ~ v14_lattices(k1_lattice2('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[140,1,2,3,6]) ).

cnf(341,plain,
    m1_filter_2(k6_domain_1(u1_struct_0('SKOLEMAAAV1'),'SKOLEMAAAV2'),k1_lattice2('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[132,1,2,3,5]) ).

cnf(342,plain,
    k5_filter_2('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2',
    inference('UR-RESOLVE',[status(thm)],[22,1,2,3,4]) ).

cnf(346,plain,
    m1_subset_1('SKOLEMAAAV2',u1_struct_0(k1_lattice2('SKOLEMAAAV1'))),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,1,2,3,4]),342,theory(equality)]) ).

cnf(372,plain,
    l1_struct_0('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[29,158]) ).

cnf(409,plain,
    ~ v1_xboole_0(u1_struct_0('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[59,372,1]) ).

cnf(412,plain,
    k6_domain_1(u1_struct_0('SKOLEMAAAV1'),'SKOLEMAAAV2') = k1_tarski('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[308,409]) ).

cnf(415,plain,
    m1_filter_2(k1_tarski('SKOLEMAAAV2'),k1_lattice2('SKOLEMAAAV1')),
    inference('REWRITE',[status(thm)],[341,412,theory(equality)]) ).

cnf(448,plain,
    l2_lattices(k1_lattice2('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[32,181]) ).

cnf(1155,plain,
    l1_struct_0(k1_lattice2('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[30,448]) ).

cnf(2485,plain,
    m1_filter_0(k1_tarski('SKOLEMAAAV2'),k1_lattice2('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[125,415,203,269,181]) ).

cnf(2524,plain,
    ~ v1_xboole_0(u1_struct_0(k1_lattice2('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[59,1155,203]) ).

cnf(3729,plain,
    ~ m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2('SKOLEMAAAV1')),'SKOLEMAAAV2'),k1_lattice2('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[130,346,203,269,181,336]) ).

cnf(3732,plain,
    k6_domain_1(u1_struct_0(k1_lattice2('SKOLEMAAAV1')),'SKOLEMAAAV2') = k1_tarski('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[124,346]),2524]) ).

cnf(3733,plain,
    $false,
    inference('REWRITE',[status(thm)],[3729,2485,3732,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT303+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n013.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 : Wed Jun 29 02:18:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-29T02:18:14
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-29T02:18:14
% 0.20/0.51  WARNING:
% 0.20/0.51     |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |v1_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |v1_partfun1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |v2_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |v1_finset_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  
% 0.77/0.94  
% 0.77/0.94  #||
% 0.77/0.94  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.94  % SZS output start Refutation
% See solution above
% 0.77/0.96  ||#
% 0.77/0.96  
% 0.77/0.96  ; Summary of computation:
% 0.77/0.96  ;      4405 formulas have been input or derived (from 376 formulas).
% 0.77/0.96  ;      3733 (85%) were retained.  Of these,
% 0.77/0.96  ;           76 ( 2%) were simplified or subsumed later,
% 0.77/0.96  ;         3657 (98%) are still being kept.
% 0.77/0.96  ; 
% 0.77/0.96  ; Run time in seconds excluding printing time:
% 0.77/0.96  ;     0.022   5%   Read assertion file          (1 call)
% 0.77/0.96  ;     0.006   1%   Assert                       (91 calls)
% 0.77/0.96  ;     0.172  37%   Process new row              (4,284 calls)
% 0.77/0.96  ;     0.151  32%   Resolution                   (750 calls)
% 0.77/0.96  ;     0.004   1%   Paramodulation               (375 calls)
% 0.77/0.96  ;     0.000   0%   Factoring                    (1 call)
% 0.77/0.96  ;     0.002   0%   Condensing                   (112 calls)
% 0.77/0.96  ;     0.001   0%   Forward subsumption          (112 calls)
% 0.77/0.96  ;     0.002   0%   Backward subsumption         (100 calls)
% 0.77/0.96  ;     0.000   0%   Clause clause subsumption    (26 calls)
% 0.77/0.96  ;     0.033   7%   Forward simplification       (4,263 calls)
% 0.77/0.96  ;     0.031   7%   Backward simplification      (3,733 calls)
% 0.77/0.96  ;     0.000   0%   Ordering                     (145 calls)
% 0.77/0.96  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.96  ;     0.001   0%   Purity testing               (1 call)
% 0.77/0.96  ;     0.041   9%   Other
% 0.77/0.96  ;     0.466        Total
% 0.77/0.96  ;     0.484        Real time
% 0.77/0.96  ; 
% 0.77/0.96  ; Term-hash-array has 7,053 terms in all.
% 0.77/0.96  ; Feature-vector-row-index has 97 entries (98 at peak, 100 added, 3 deleted).
% 0.77/0.96  ; Feature-vector-row-index has 332 nodes (345 at peak, 363 added, 31 deleted).
% 0.77/0.96  ;  Retrieved 40 possibly forward subsuming rows in 112 calls.
% 0.77/0.96  ;  Retrieved 8 possibly backward subsumed rows in 100 calls.
% 0.77/0.96  ; Path-index has 6,999 entries (7,000 at peak, 7,081 added, 82 deleted).
% 0.77/0.96  ; Path-index has 2,651 nodes (2,652 at peak, 2,844 added, 193 deleted).
% 0.77/0.96  ; Trie-index has 6,999 entries (7,000 at peak, 7,081 added, 82 deleted).
% 0.77/0.96  ; Trie-index has 12,643 nodes (12,646 at peak, 13,261 added, 618 deleted).
% 0.77/0.96  ; Retrieved 988 generalization terms in 4,721 calls.
% 0.77/0.96  ; Retrieved 3,653 instance terms in 3,632 calls.
% 0.77/0.96  ; Retrieved 164,882 unifiable terms in 25,092 calls.
% 0.77/0.96  ; 
% 0.77/0.96  ; The agenda of rows to process has 1 entry:
% 0.77/0.96  ;     1 with value 23
% 0.77/0.96  ; The agenda of rows to give has 3287 entries:
% 0.77/0.96  ;    66 with value (4 9)         507 with value (4 14)          29 with value (4 19)
% 0.77/0.96  ;    93 with value (4 10)        553 with value (4 15)          15 with value (4 20)
% 0.77/0.96  ;   267 with value (4 11)        373 with value (4 16)          28 with value (4 21)
% 0.77/0.96  ;   552 with value (4 12)         22 with value (4 17)          12 with value (4 24)
% 0.77/0.96  ;   760 with value (4 13)         10 with value (4 18)
% 0.77/0.96  Evaluation took:
% 0.77/0.96    0.484 seconds of real time
% 0.77/0.96    0.452442 seconds of user run time
% 0.77/0.96    0.031994 seconds of system run time
% 0.77/0.96    [Run times include 0.041 seconds GC run time.]
% 0.77/0.96    0 calls to %EVAL
% 0.77/0.96    0 page faults and
% 0.77/0.96    38,149,904 bytes consed.
% 0.77/0.96  :PROOF-FOUND
% 0.77/0.96  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T02:18:15
% 0.77/0.96  :PROOF-FOUND
% 0.77/0.96  * 
%------------------------------------------------------------------------------