TSTP Solution File: SEU413+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 : Tue Jul 19 14:22:27 EDT 2022

% Result   : Theorem 0.38s 0.55s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   15 (  12 unt;   0 nHn;  15 RR)
%            Number of literals    :   27 (   0 equ;  14 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    l1_orders_2('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(2,negated_conjecture,
    l1_orders_2('SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(3,negated_conjecture,
    m1_subset_1('SKOLEMAAAV3',u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(4,negated_conjecture,
    m1_subset_1('SKOLEMAAAV4',u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(5,negated_conjecture,
    v12_waybel_0(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),'SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(6,negated_conjecture,
    m1_subset_1(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),k1_zfmisc_1(u1_struct_0('SKOLEMAAAV2'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(7,negated_conjecture,
    r1_orders_2(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(8,negated_conjecture,
    r2_hidden('SKOLEMAAAV4',u1_struct_0('SKOLEMAAAV1')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(9,negated_conjecture,
    ~ r2_hidden('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV1')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).

cnf(12,axiom,
    ( ~ l1_orders_2(X)
    | ~ m1_subset_1(Y,u1_struct_0(X))
    | ~ m1_subset_1(Z,u1_struct_0(X))
    | ~ r1_orders_2(X,Y,Z)
    | r2_hidden(k4_tarski(Y,Z),u1_orders_2(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).

cnf(17,axiom,
    ( ~ l1_orders_2(X)
    | ~ l1_orders_2(Y)
    | l1_orders_2(k1_latsum_1(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).

cnf(34,axiom,
    ( ~ l1_orders_2(X)
    | ~ l1_orders_2(Y)
    | ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X),u1_struct_0(Y)),Y)
    | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X),u1_struct_0(Y)),k1_zfmisc_1(u1_struct_0(Y)))
    | ~ r2_hidden(k4_tarski(Z,U),u1_orders_2(k1_latsum_1(X,Y)))
    | ~ r2_hidden(U,u1_struct_0(X))
    | r2_hidden(Z,u1_struct_0(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsum_1) ).

cnf(77,plain,
    l1_orders_2(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[17,1,2]) ).

cnf(85,plain,
    ~ r2_hidden(k4_tarski('SKOLEMAAAV3','SKOLEMAAAV4'),u1_orders_2(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'))),
    inference('UR-RESOLVE',[status(thm)],[34,1,2,5,6,8,9]) ).

cnf(316,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,77,3,4,7]),85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 21:18:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T21:18:18
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-19T21:18:18
% 0.19/0.49  
% 0.19/0.49  ; Recognized commutativity assertion (= (|k3_xboole_0| ?X ?Y) (|k3_xboole_0| ?Y ?X)).
% 0.19/0.49  WARNING:
% 0.19/0.49     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |l1_struct_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55  ; Declaring k3_xboole_0 to be commutative.
% 0.38/0.55  
% 0.38/0.55  #||
% 0.38/0.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.55  % SZS output start Refutation
% See solution above
% 0.38/0.55  ||#
% 0.38/0.55  
% 0.38/0.55  ; Summary of computation:
% 0.38/0.55  ;       670 formulas have been input or derived (from 68 formulas).
% 0.38/0.55  ;       316 (47%) were retained.  Of these,
% 0.38/0.55  ;            1 ( 0%) were simplified or subsumed later,
% 0.38/0.55  ;          315 (100%) are still being kept.
% 0.38/0.55  ; 
% 0.38/0.55  ; Run time in seconds excluding printing time:
% 0.38/0.55  ;     0.008  10%   Read assertion file          (1 call)
% 0.38/0.55  ;     0.002   2%   Assert                       (42 calls)
% 0.38/0.55  ;     0.023  28%   Process new row              (583 calls)
% 0.38/0.55  ;     0.015  18%   Resolution                   (134 calls)
% 0.38/0.55  ;     0.000   0%   Paramodulation               (67 calls)
% 0.38/0.55  ;     0.001   1%   Condensing                   (30 calls)
% 0.38/0.55  ;     0.002   2%   Forward subsumption          (30 calls)
% 0.38/0.55  ;     0.000   0%   Backward subsumption         (30 calls)
% 0.38/0.55  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.38/0.55  ;     0.003   4%   Forward simplification       (579 calls)
% 0.38/0.55  ;     0.005   6%   Backward simplification      (316 calls)
% 0.38/0.55  ;     0.000   0%   Ordering                     (42 calls)
% 0.38/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.55  ;     0.023  28%   Other
% 0.38/0.55  ;     0.082        Total
% 0.38/0.55  ;     0.084        Real time
% 0.38/0.55  ; 
% 0.38/0.55  ; Term-hash-array has 512 terms in all.
% 0.38/0.55  ; Feature-vector-row-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.38/0.55  ; Feature-vector-row-index has 137 nodes (137 at peak, 137 added, 0 deleted).
% 0.38/0.55  ;  Retrieved 5 possibly forward subsuming rows in 30 calls.
% 0.38/0.55  ;  Retrieved 5 possibly backward subsumed rows in 30 calls.
% 0.38/0.55  ; Path-index has 519 entries (519 at peak, 520 added, 1 deleted).
% 0.38/0.55  ; Path-index has 502 nodes (502 at peak, 503 added, 1 deleted).
% 0.38/0.55  ; Trie-index has 519 entries (519 at peak, 520 added, 1 deleted).
% 0.38/0.55  ; Trie-index has 1,059 nodes (1,059 at peak, 1,060 added, 1 deleted).
% 0.38/0.55  ; Retrieved 269 generalization terms in 612 calls.
% 0.38/0.55  ; Retrieved 291 instance terms in 285 calls.
% 0.38/0.55  ; Retrieved 8,260 unifiable terms in 1,716 calls.
% 0.38/0.55  ; 
% 0.38/0.55  ; The agenda of rows to process has 51 entries:
% 0.38/0.55  ;    49 with value 13              1 with value 18               1 with value 19
% 0.38/0.55  ; The agenda of rows to give has 248 entries:
% 0.38/0.55  ;     1 with value (4 7)          97 with value (4 11)           7 with value (4 19)
% 0.38/0.55  ;     4 with value (4 8)           3 with value (4 12)           1 with value (4 20)
% 0.38/0.55  ;     4 with value (4 9)         115 with value (4 13)           1 with value (4 33)
% 0.38/0.55  ;     6 with value (4 10)          9 with value (4 18)
% 0.38/0.55  Evaluation took:
% 0.38/0.55    0.085 seconds of real time
% 0.38/0.55    0.074901 seconds of user run time
% 0.38/0.55    0.010148 seconds of system run time
% 0.38/0.55    0 calls to %EVAL
% 0.38/0.55    0 page faults and
% 0.38/0.55    5,101,936 bytes consed.
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T21:18:18
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  * 
%------------------------------------------------------------------------------