TSTP Solution File: GRP643+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP643+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 : Sat Jul 16 11:39:58 EDT 2022

% Result   : Theorem 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   20 (  16 unt;   4 nHn;  20 RR)
%            Number of literals    :   49 (   0 equ;  27 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAO1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(2,negated_conjecture,
    v3_group_1('SKOLEMAAAO1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(3,negated_conjecture,
    v4_group_1('SKOLEMAAAO1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(4,negated_conjecture,
    l1_group_1('SKOLEMAAAO1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(5,negated_conjecture,
    v1_group_1('SKOLEMAAAO2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(6,negated_conjecture,
    m1_group_2('SKOLEMAAAO2','SKOLEMAAAO1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(7,negated_conjecture,
    m1_subset_1('SKOLEMAAAO3',u1_struct_0('SKOLEMAAAO1')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(8,negated_conjecture,
    m1_subset_1('SKOLEMAAAO4',u1_struct_0('SKOLEMAAAO1')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(9,negated_conjecture,
    r2_hidden('SKOLEMAAAO3',k1_funct_1(k1_latsubgr('SKOLEMAAAO1'),'SKOLEMAAAO2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(10,negated_conjecture,
    r2_hidden('SKOLEMAAAO4',k1_funct_1(k1_latsubgr('SKOLEMAAAO1'),'SKOLEMAAAO2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(11,negated_conjecture,
    ~ r2_hidden(k1_group_1('SKOLEMAAAO1','SKOLEMAAAO3','SKOLEMAAAO4'),k1_funct_1(k1_latsubgr('SKOLEMAAAO1'),'SKOLEMAAAO2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).

cnf(19,axiom,
    ( v3_struct_0(X)
    | ~ l1_group_1(X)
    | ~ m1_subset_1(Y,u1_struct_0(X))
    | ~ m1_subset_1(Z,u1_struct_0(X))
    | m1_subset_1(k1_group_1(X,Y,Z),u1_struct_0(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).

cnf(62,axiom,
    ( v3_struct_0(X)
    | ~ v3_group_1(X)
    | ~ v4_group_1(X)
    | ~ l1_group_1(X)
    | ~ v1_group_1(Y)
    | ~ m1_group_2(Y,X)
    | ~ m1_subset_1(Z,u1_struct_0(X))
    | ~ r2_hidden(Z,k1_funct_1(k1_latsubgr(X),Y))
    | r1_rlvect_1(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).

cnf(63,axiom,
    ( v3_struct_0(X)
    | ~ v3_group_1(X)
    | ~ v4_group_1(X)
    | ~ l1_group_1(X)
    | ~ v1_group_1(Y)
    | ~ m1_group_2(Y,X)
    | ~ m1_subset_1(Z,u1_struct_0(X))
    | r2_hidden(Z,k1_funct_1(k1_latsubgr(X),Y))
    | ~ r1_rlvect_1(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).

cnf(69,axiom,
    ( v3_struct_0(X)
    | ~ v3_group_1(X)
    | ~ v4_group_1(X)
    | ~ l1_group_1(X)
    | ~ m1_subset_1(Y,u1_struct_0(X))
    | ~ m1_subset_1(Z,u1_struct_0(X))
    | ~ m1_group_2(U,X)
    | ~ r1_rlvect_1(U,Y)
    | ~ r1_rlvect_1(U,Z)
    | r1_rlvect_1(U,k1_group_1(X,Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_group_2) ).

cnf(139,plain,
    m1_subset_1(k1_group_1('SKOLEMAAAO1','SKOLEMAAAO3','SKOLEMAAAO4'),u1_struct_0('SKOLEMAAAO1')),
    inference('UR-RESOLVE',[status(thm)],[19,1,4,7,8]) ).

cnf(148,plain,
    r1_rlvect_1('SKOLEMAAAO2','SKOLEMAAAO3'),
    inference('UR-RESOLVE',[status(thm)],[62,1,2,3,4,5,6,7,9]) ).

cnf(149,plain,
    r1_rlvect_1('SKOLEMAAAO2','SKOLEMAAAO4'),
    inference('UR-RESOLVE',[status(thm)],[62,1,2,3,4,5,6,8,10]) ).

cnf(166,plain,
    r1_rlvect_1('SKOLEMAAAO2',k1_group_1('SKOLEMAAAO1','SKOLEMAAAO3','SKOLEMAAAO4')),
    inference('UR-RESOLVE',[status(thm)],[69,149,1,2,3,4,7,8,6,148]) ).

cnf(1517,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[63,139,1,2,3,4,5,6,11]),166]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP643+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n017.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 : Mon Jun 13 17:02:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/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  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T17:02:53
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-13T17:02:53
% 0.20/0.50  WARNING:
% 0.20/0.50     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.59/0.76  
% 0.59/0.76  
% 0.59/0.76  #||
% 0.59/0.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.76  % SZS output start Refutation
% See solution above
% 0.59/0.76  ||#
% 0.59/0.76  
% 0.59/0.76  ; Summary of computation:
% 0.59/0.76  ;      1859 formulas have been input or derived (from 162 formulas).
% 0.59/0.76  ;      1517 (82%) were retained.  Of these,
% 0.59/0.76  ;            7 ( 0%) were simplified or subsumed later,
% 0.59/0.76  ;         1510 (100%) are still being kept.
% 0.59/0.76  ; 
% 0.59/0.76  ; Run time in seconds excluding printing time:
% 0.59/0.76  ;     0.008   3%   Read assertion file          (1 call)
% 0.59/0.76  ;     0.002   1%   Assert                       (55 calls)
% 0.59/0.76  ;     0.105  38%   Process new row              (1,744 calls)
% 0.59/0.76  ;     0.107  39%   Resolution                   (322 calls)
% 0.59/0.76  ;     0.000   0%   Paramodulation               (161 calls)
% 0.59/0.76  ;     0.000   0%   Factoring                    (3 calls)
% 0.59/0.76  ;     0.000   0%   Condensing                   (56 calls)
% 0.59/0.76  ;     0.001   0%   Forward subsumption          (56 calls)
% 0.59/0.76  ;     0.001   0%   Backward subsumption         (54 calls)
% 0.59/0.76  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.59/0.76  ;     0.012   4%   Forward simplification       (1,732 calls)
% 0.59/0.76  ;     0.015   5%   Backward simplification      (1,517 calls)
% 0.59/0.76  ;     0.000   0%   Ordering                     (44 calls)
% 0.59/0.76  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.59/0.76  ;     0.000   0%   Purity testing               (1 call)
% 0.59/0.76  ;     0.022   8%   Other
% 0.59/0.76  ;     0.273        Total
% 0.59/0.76  ;     0.275        Real time
% 0.59/0.76  ; 
% 0.59/0.76  ; Term-hash-array has 2,899 terms in all.
% 0.59/0.76  ; Feature-vector-row-index has 52 entries (52 at peak, 54 added, 2 deleted).
% 0.59/0.76  ; Feature-vector-row-index has 229 nodes (232 at peak, 243 added, 14 deleted).
% 0.59/0.76  ;  Retrieved 4 possibly forward subsuming rows in 56 calls.
% 0.59/0.76  ;  Retrieved 2 possibly backward subsumed rows in 54 calls.
% 0.59/0.76  ; Path-index has 2,904 entries (2,904 at peak, 2,911 added, 7 deleted).
% 0.59/0.76  ; Path-index has 1,835 nodes (1,835 at peak, 1,841 added, 6 deleted).
% 0.59/0.76  ; Trie-index has 2,904 entries (2,904 at peak, 2,911 added, 7 deleted).
% 0.59/0.76  ; Trie-index has 6,780 nodes (6,780 at peak, 6,797 added, 17 deleted).
% 0.59/0.76  ; Retrieved 355 generalization terms in 1,879 calls.
% 0.59/0.76  ; Retrieved 1,475 instance terms in 1,462 calls.
% 0.59/0.76  ; Retrieved 114,901 unifiable terms in 20,873 calls.
% 0.59/0.76  ; 
% 0.59/0.76  ; The agenda of rows to process has 22 entries:
% 0.59/0.76  ;     1 with value 12              1 with value 16               6 with value 21
% 0.59/0.76  ;     4 with value 15             10 with value 18
% 0.59/0.76  ; The agenda of rows to give has 1353 entries:
% 0.59/0.76  ;    32 with value (4 10)        281 with value (4 15)           4 with value (4 20)
% 0.59/0.76  ;    87 with value (4 11)        232 with value (4 16)           2 with value (4 21)
% 0.59/0.76  ;   129 with value (4 12)         99 with value (4 17)           2 with value (4 22)
% 0.59/0.76  ;   179 with value (4 13)         26 with value (4 18)           1 with value (4 23)
% 0.59/0.76  ;   274 with value (4 14)          4 with value (4 19)           1 with value (4 24)
% 0.59/0.76  Evaluation took:
% 0.59/0.76    0.276 seconds of real time
% 0.59/0.76    0.251319 seconds of user run time
% 0.59/0.76    0.024222 seconds of system run time
% 0.59/0.76    [Run times include 0.014 seconds GC run time.]
% 0.59/0.76    0 calls to %EVAL
% 0.59/0.76    0 page faults and
% 0.59/0.76    20,204,912 bytes consed.
% 0.59/0.76  :PROOF-FOUND
% 0.59/0.76  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T17:02:53
% 0.59/0.76  :PROOF-FOUND
% 0.59/0.76  * 
%------------------------------------------------------------------------------