TSTP Solution File: TOP027+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : TOP027+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 : Thu Jul 21 21:34:24 EDT 2022

% Result   : Theorem 0.40s 0.59s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   13 (  10 unt;   1 nHn;  13 RR)
%            Number of literals    :   25 (   2 equ;  13 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).

cnf(2,negated_conjecture,
    v2_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).

cnf(3,negated_conjecture,
    l1_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).

cnf(4,negated_conjecture,
    m1_subset_1('SKOLEMAAAV2',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).

cnf(5,negated_conjecture,
    v1_tsp_2('SKOLEMAAAV2','SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).

cnf(6,negated_conjecture,
    m1_subset_1('SKOLEMAAAV3',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).

cnf(7,negated_conjecture,
    k1_tops_1('SKOLEMAAAV1','SKOLEMAAAV3') != k3_tex_4('SKOLEMAAAV1',k5_subset_1(u1_struct_0('SKOLEMAAAV1'),'SKOLEMAAAV2',k1_tops_1('SKOLEMAAAV1','SKOLEMAAAV3'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).

cnf(137,axiom,
    ( ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | m1_subset_1(k1_tops_1(X,Y),k1_zfmisc_1(u1_struct_0(X))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).

cnf(142,axiom,
    ( ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | v3_pre_topc(k1_tops_1(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).

cnf(147,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | ~ v1_tsp_2(Y,X)
    | ~ m1_subset_1(Z,k1_zfmisc_1(u1_struct_0(X)))
    | ~ v3_pre_topc(Z,X)
    | Z = k3_tex_4(X,k5_subset_1(u1_struct_0(X),Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_tsp_2) ).

cnf(253,plain,
    m1_subset_1(k1_tops_1('SKOLEMAAAV1','SKOLEMAAAV3'),k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
    inference('HYPERRESOLVE',[status(thm)],[137,3,6]) ).

cnf(281,plain,
    v3_pre_topc(k1_tops_1('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[142,2,3,6]) ).

cnf(491,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[147,281,1,2,3,4,5,7]),253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : TOP027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun May 29 07:02:39 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  * 
% 0.17/0.44  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T07:02:39
% 0.17/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-29T07:02:39
% 0.17/0.48  
% 0.17/0.49  ; Recognized commutativity assertion (= (|k3_xboole_0| ?X ?Y) (|k3_xboole_0| ?Y ?X)).
% 0.17/0.49  WARNING:
% 0.17/0.49     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.49  WARNING:
% 0.17/0.49     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.49  WARNING:
% 0.17/0.49     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.49  WARNING:
% 0.17/0.49     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.49  WARNING:
% 0.17/0.49     |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.59  ; Declaring k3_xboole_0 to be commutative.
% 0.40/0.59  
% 0.40/0.59  #||
% 0.40/0.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.59  % SZS output start Refutation
% See solution above
% 0.40/0.60  ||#
% 0.40/0.60  
% 0.40/0.60  ; Summary of computation:
% 0.40/0.60  ;      1794 formulas have been input or derived (from 204 formulas).
% 0.40/0.60  ;       491 (27%) were retained.  Of these,
% 0.40/0.60  ;           80 (16%) were simplified or subsumed later,
% 0.40/0.60  ;          411 (84%) are still being kept.
% 0.40/0.60  ; 
% 0.40/0.60  ; Run time in seconds:
% 0.40/0.60  ;     0.020  14%   Read assertion file          (1 call)
% 0.40/0.60  ;     0.006   4%   Assert                       (79 calls)
% 0.40/0.60  ;     0.026  18%   Process new row              (1,623 calls)
% 0.40/0.60  ;     0.034  24%   Resolution                   (406 calls)
% 0.42/0.60  ;     0.002   1%   Paramodulation               (203 calls)
% 0.42/0.60  ;     0.000   0%   Factoring                    (1 call)
% 0.42/0.60  ;     0.000   0%   Condensing                   (222 calls)
% 0.42/0.60  ;     0.004   3%   Forward subsumption          (222 calls)
% 0.42/0.60  ;     0.003   2%   Backward subsumption         (171 calls)
% 0.42/0.60  ;     0.001   1%   Clause clause subsumption    (101 calls)
% 0.42/0.60  ;     0.014  10%   Forward simplification       (1,596 calls)
% 0.42/0.60  ;     0.003   2%   Backward simplification      (490 calls)
% 0.42/0.60  ;     0.000   0%   Ordering                     (147 calls)
% 0.42/0.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.60  ;     0.001   1%   Purity testing               (1 call)
% 0.42/0.60  ;     0.030  21%   Other
% 0.42/0.60  ;     0.144        Total
% 0.42/0.60  ;     0.145        Real time
% 0.42/0.60  ; 
% 0.42/0.60  ; Term-hash-array has 635 terms in all.
% 0.42/0.60  ; Feature-vector-row-index has 158 entries (158 at peak, 171 added, 13 deleted).
% 0.42/0.60  ; Feature-vector-row-index has 606 nodes (606 at peak, 702 added, 96 deleted).
% 0.42/0.60  ;  Retrieved 107 possibly forward subsuming rows in 222 calls.
% 0.42/0.60  ;  Retrieved 54 possibly backward subsumed rows in 171 calls.
% 0.42/0.60  ; Path-index has 575 entries (575 at peak, 663 added, 88 deleted).
% 0.42/0.60  ; Path-index has 1,052 nodes (1,052 at peak, 1,131 added, 79 deleted).
% 0.42/0.60  ; Trie-index has 575 entries (575 at peak, 663 added, 88 deleted).
% 0.42/0.60  ; Trie-index has 1,598 nodes (1,598 at peak, 1,932 added, 334 deleted).
% 0.42/0.60  ; Retrieved 1,585 generalization terms in 2,366 calls.
% 0.42/0.60  ; Retrieved 404 instance terms in 318 calls.
% 0.42/0.60  ; Retrieved 21,056 unifiable terms in 4,590 calls.
% 0.42/0.60  ; 
% 0.42/0.60  ; The agenda of rows to give has 212 entries:
% 0.42/0.60  ;    20 with value (4 8)          12 with value (4 14)           3 with value (4 19)
% 0.42/0.60  ;    20 with value (4 9)           6 with value (4 15)           2 with value (4 20)
% 0.42/0.60  ;    19 with value (4 10)         19 with value (4 16)           4 with value (4 21)
% 0.42/0.60  ;    33 with value (4 11)          1 with value (4 17)           3 with value (4 22)
% 0.42/0.60  ;    26 with value (4 12)         21 with value (4 18)           1 with value (4 23)
% 0.42/0.60  ;    22 with value (4 13)
% 0.42/0.60  Evaluation took:
% 0.42/0.60    0.146 seconds of real time
% 0.42/0.60    0.129597 seconds of user run time
% 0.42/0.60    0.015724 seconds of system run time
% 0.42/0.60    0 calls to %EVAL
% 0.42/0.60    0 page faults and
% 0.42/0.60    9,040,920 bytes consed.
% 0.42/0.60  :PROOF-FOUND
% 0.42/0.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T07:02:39
% 0.42/0.60  :PROOF-FOUND
% 0.42/0.60  * 
%------------------------------------------------------------------------------