TSTP Solution File: GRP644+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP644+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 0.47s 0.66s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   17 (  13 unt;   4 nHn;  17 RR)
%            Number of literals    :   45 (   0 equ;  26 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(2,negated_conjecture,
    v3_group_1('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(3,negated_conjecture,
    v4_group_1('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(4,negated_conjecture,
    l1_group_1('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(5,negated_conjecture,
    v1_group_1('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(6,negated_conjecture,
    m1_group_2('SKOLEMAAAV2','SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(7,negated_conjecture,
    m1_subset_1('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV1')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(8,negated_conjecture,
    r2_hidden('SKOLEMAAAV3',k1_funct_1(k1_latsubgr('SKOLEMAAAV1'),'SKOLEMAAAV2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(9,negated_conjecture,
    ~ r2_hidden(k3_group_1('SKOLEMAAAV1','SKOLEMAAAV3'),k1_funct_1(k1_latsubgr('SKOLEMAAAV1'),'SKOLEMAAAV2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

cnf(20,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(k3_group_1(X,Y),u1_struct_0(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).

cnf(60,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(61,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(68,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_group_2(Z,X)
    | ~ r1_rlvect_1(Z,Y)
    | r1_rlvect_1(Z,k3_group_1(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_group_2) ).

cnf(133,plain,
    m1_subset_1(k3_group_1('SKOLEMAAAV1','SKOLEMAAAV3'),u1_struct_0('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[20,1,2,3,4,7]) ).

cnf(135,plain,
    r1_rlvect_1('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[60,1,2,3,4,5,6,7,8]) ).

cnf(147,plain,
    r1_rlvect_1('SKOLEMAAAV2',k3_group_1('SKOLEMAAAV1','SKOLEMAAAV3')),
    inference('UR-RESOLVE',[status(thm)],[68,135,1,2,3,4,7,6]) ).

cnf(892,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[61,133,1,2,3,4,5,6,9]),147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14  % 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 06:15:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 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)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T06:15:53
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-13T06:15:53
% 0.20/0.52  WARNING:
% 0.20/0.52     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  
% 0.47/0.66  
% 0.47/0.66  #||
% 0.47/0.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.66  % SZS output start Refutation
% See solution above
% 0.47/0.66  ||#
% 0.47/0.66  
% 0.47/0.66  ; Summary of computation:
% 0.47/0.66  ;      1067 formulas have been input or derived (from 132 formulas).
% 0.47/0.66  ;       892 (84%) were retained.  Of these,
% 0.47/0.66  ;            4 ( 0%) were simplified or subsumed later,
% 0.47/0.66  ;          888 (100%) are still being kept.
% 0.47/0.66  ; 
% 0.47/0.66  ; Run time in seconds excluding printing time:
% 0.47/0.66  ;     0.012   7%   Read assertion file          (1 call)
% 0.47/0.66  ;     0.003   2%   Assert                       (55 calls)
% 0.47/0.66  ;     0.046  28%   Process new row              (1,009 calls)
% 0.47/0.66  ;     0.047  29%   Resolution                   (262 calls)
% 0.47/0.66  ;     0.006   4%   Paramodulation               (131 calls)
% 0.47/0.66  ;     0.000   0%   Factoring                    (1 call)
% 0.47/0.66  ;     0.001   1%   Condensing                   (51 calls)
% 0.47/0.66  ;     0.001   1%   Forward subsumption          (51 calls)
% 0.47/0.66  ;     0.001   1%   Backward subsumption         (50 calls)
% 0.47/0.66  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.47/0.66  ;     0.010   6%   Forward simplification       (1,005 calls)
% 0.47/0.66  ;     0.009   6%   Backward simplification      (892 calls)
% 0.47/0.66  ;     0.000   0%   Ordering                     (32 calls)
% 0.47/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.66  ;     0.001   1%   Purity testing               (1 call)
% 0.47/0.66  ;     0.026  16%   Other
% 0.47/0.66  ;     0.163        Total
% 0.47/0.66  ;     0.164        Real time
% 0.47/0.66  ; 
% 0.47/0.66  ; Term-hash-array has 1,710 terms in all.
% 0.47/0.66  ; Feature-vector-row-index has 49 entries (50 at peak, 50 added, 1 deleted).
% 0.47/0.66  ; Feature-vector-row-index has 197 nodes (205 at peak, 205 added, 8 deleted).
% 0.47/0.66  ;  Retrieved 3 possibly forward subsuming rows in 51 calls.
% 0.47/0.66  ;  Retrieved 3 possibly backward subsumed rows in 50 calls.
% 0.47/0.66  ; Path-index has 1,716 entries (1,716 at peak, 1,720 added, 4 deleted).
% 0.47/0.66  ; Path-index has 1,381 nodes (1,381 at peak, 1,385 added, 4 deleted).
% 0.47/0.66  ; Trie-index has 1,716 entries (1,716 at peak, 1,720 added, 4 deleted).
% 0.47/0.66  ; Trie-index has 4,000 nodes (4,000 at peak, 4,009 added, 9 deleted).
% 0.47/0.66  ; Retrieved 172 generalization terms in 1,092 calls.
% 0.47/0.66  ; Retrieved 852 instance terms in 841 calls.
% 0.47/0.66  ; Retrieved 47,916 unifiable terms in 11,542 calls.
% 0.47/0.66  ; 
% 0.47/0.66  ; The agenda of rows to process has 4 entries:
% 0.47/0.66  ;     1 with value 11              1 with value 15               1 with value 16
% 0.47/0.66  ;     1 with value 13
% 0.47/0.66  ; The agenda of rows to give has 759 entries:
% 0.47/0.66  ;    12 with value (4 9)         148 with value (4 13)           5 with value (4 17)
% 0.47/0.66  ;    29 with value (4 10)        146 with value (4 14)           5 with value (4 18)
% 0.47/0.66  ;    78 with value (4 11)        115 with value (4 15)           2 with value (4 21)
% 0.47/0.66  ;   120 with value (4 12)         97 with value (4 16)           2 with value (4 22)
% 0.47/0.66  Evaluation took:
% 0.47/0.66    0.166 seconds of real time
% 0.47/0.66    0.147469 seconds of user run time
% 0.47/0.66    0.017908 seconds of system run time
% 0.47/0.66    0 calls to %EVAL
% 0.47/0.66    0 page faults and
% 0.47/0.66    12,256,528 bytes consed.
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T06:15:53
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  * 
%------------------------------------------------------------------------------