TSTP Solution File: LAT292+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT292+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 06:43:29 EDT 2022

% Result   : Theorem 0.53s 0.73s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   17 (  11 unt;   5 nHn;  17 RR)
%            Number of literals    :   45 (   2 equ;  22 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).

cnf(2,negated_conjecture,
    v10_lattices('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).

cnf(3,negated_conjecture,
    v17_lattices('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).

cnf(4,negated_conjecture,
    ~ v3_realset2('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).

cnf(5,negated_conjecture,
    l3_lattices('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).

cnf(6,negated_conjecture,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | ~ r1_filter_1('SKOLEMAAAV1',k6_lopclset(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).

cnf(60,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ v17_lattices(X)
    | v3_realset2(X)
    | ~ l3_lattices(X)
    | k12_lopclset(X) = k6_lopclset(k11_lopclset(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lopclset) ).

cnf(66,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ v17_lattices(X)
    | v3_realset2(X)
    | ~ l3_lattices(X)
    | v2_pre_topc(k11_lopclset(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).

cnf(67,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ v17_lattices(X)
    | v3_realset2(X)
    | ~ l3_lattices(X)
    | l1_pre_topc(k11_lopclset(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).

cnf(110,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ v17_lattices(X)
    | v3_realset2(X)
    | ~ l3_lattices(X)
    | ~ v3_struct_0(k11_lopclset(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lopclset) ).

cnf(260,axiom,
    ( v3_struct_0(X)
    | ~ v10_lattices(X)
    | ~ v17_lattices(X)
    | v3_realset2(X)
    | ~ l3_lattices(X)
    | r1_filter_1(X,k12_lopclset(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lopclset) ).

cnf(489,plain,
    v2_pre_topc(k11_lopclset('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[66,1,2,3,4,5]) ).

cnf(492,plain,
    l1_pre_topc(k11_lopclset('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[67,1,2,3,4,5]) ).

cnf(503,plain,
    ~ v3_struct_0(k11_lopclset('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[110,1,2,3,4,5]) ).

cnf(509,plain,
    r1_filter_1('SKOLEMAAAV1',k12_lopclset('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[260,1,2,3,4,5]) ).

cnf(534,plain,
    k12_lopclset('SKOLEMAAAV1') = k6_lopclset(k11_lopclset('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[60,1,2,3,4,5]) ).

cnf(1042,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,503,489,492]),509,534,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LAT292+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 29 18:04:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T18:04:38
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-29T18:04:38
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v12_lattices| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.73  
% 0.53/0.73  
% 0.53/0.73  #||
% 0.53/0.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73  % SZS output start Refutation
% See solution above
% 0.53/0.73  ||#
% 0.53/0.73  
% 0.53/0.73  ; Summary of computation:
% 0.53/0.73  ;      1894 formulas have been input or derived (from 364 formulas).
% 0.53/0.73  ;      1042 (55%) were retained.  Of these,
% 0.53/0.73  ;            5 ( 0%) were simplified or subsumed later,
% 0.53/0.73  ;         1037 (100%) are still being kept.
% 0.53/0.73  ; 
% 0.53/0.73  ; Run time in seconds excluding printing time:
% 0.53/0.73  ;     0.030  12%   Read assertion file          (1 call)
% 0.53/0.73  ;     0.006   2%   Assert                       (112 calls)
% 0.53/0.73  ;     0.063  26%   Process new row              (1,788 calls)
% 0.53/0.73  ;     0.075  31%   Resolution                   (726 calls)
% 0.53/0.73  ;     0.001   0%   Paramodulation               (363 calls)
% 0.53/0.73  ;     0.000   0%   Factoring                    (5 calls)
% 0.53/0.73  ;     0.004   2%   Condensing                   (294 calls)
% 0.53/0.73  ;     0.004   2%   Forward subsumption          (294 calls)
% 0.53/0.73  ;     0.003   1%   Backward subsumption         (267 calls)
% 0.53/0.73  ;     0.001   0%   Clause clause subsumption    (168 calls)
% 0.53/0.73  ;     0.011   5%   Forward simplification       (1,767 calls)
% 0.53/0.73  ;     0.006   2%   Backward simplification      (1,041 calls)
% 0.53/0.73  ;     0.003   1%   Ordering                     (406 calls)
% 0.53/0.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.53/0.73  ;     0.002   1%   Purity testing               (1 call)
% 0.53/0.73  ;     0.035  14%   Other
% 0.53/0.73  ;     0.244        Total
% 0.53/0.73  ;     0.246        Real time
% 0.53/0.73  ; 
% 0.53/0.73  ; Term-hash-array has 1,631 terms in all.
% 0.53/0.73  ; Feature-vector-row-index has 267 entries (267 at peak, 267 added, 0 deleted).
% 0.53/0.73  ; Feature-vector-row-index has 972 nodes (972 at peak, 972 added, 0 deleted).
% 0.53/0.73  ;  Retrieved 237 possibly forward subsuming rows in 294 calls.
% 0.53/0.73  ;  Retrieved 87 possibly backward subsumed rows in 267 calls.
% 0.53/0.73  ; Path-index has 1,643 entries (1,643 at peak, 1,651 added, 8 deleted).
% 0.53/0.73  ; Path-index has 2,760 nodes (2,760 at peak, 2,768 added, 8 deleted).
% 0.53/0.73  ; Trie-index has 1,643 entries (1,643 at peak, 1,651 added, 8 deleted).
% 0.53/0.73  ; Trie-index has 4,139 nodes (4,139 at peak, 4,163 added, 24 deleted).
% 0.53/0.73  ; Retrieved 1,210 generalization terms in 2,543 calls.
% 0.53/0.73  ; Retrieved 793 instance terms in 773 calls.
% 0.53/0.73  ; Retrieved 52,156 unifiable terms in 16,672 calls.
% 0.53/0.73  ; 
% 0.53/0.73  ; The agenda of rows to process has 9 entries:
% 0.53/0.73  ;     1 with value 11              1 with value 14               5 with value 20
% 0.53/0.73  ;     1 with value 12              1 with value 16
% 0.53/0.73  ; The agenda of rows to give has 673 entries:
% 0.53/0.73  ;    61 with value (4 7)           6 with value (4 16)           8 with value (4 28)
% 0.53/0.73  ;    48 with value (4 8)           4 with value (4 17)           2 with value (4 30)
% 0.53/0.73  ;    89 with value (4 9)           4 with value (4 18)          12 with value (4 31)
% 0.53/0.73  ;    93 with value (4 10)          4 with value (4 19)           4 with value (4 33)
% 0.53/0.73  ;   151 with value (4 11)         10 with value (4 20)           4 with value (4 34)
% 0.53/0.73  ;    51 with value (4 12)          4 with value (4 25)           8 with value (4 37)
% 0.53/0.73  ;    27 with value (4 13)          1 with value (4 26)           4 with value (4 39)
% 0.53/0.73  ;    17 with value (4 14)          8 with value (4 27)           4 with value (4 40)
% 0.53/0.73  ;    49 with value (4 15)
% 0.53/0.73  Evaluation took:
% 0.53/0.73    0.246 seconds of real time
% 0.53/0.73    0.217341 seconds of user run time
% 0.53/0.73    0.028732 seconds of system run time
% 0.53/0.73    [Run times include 0.011 seconds GC run time.]
% 0.53/0.73    0 calls to %EVAL
% 0.53/0.73    0 page faults and
% 0.53/0.73    16,022,224 bytes consed.
% 0.53/0.73  :PROOF-FOUND
% 0.53/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T18:04:38
% 0.53/0.73  :PROOF-FOUND
% 0.53/0.73  * 
%------------------------------------------------------------------------------