TSTP Solution File: TOP028+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : TOP028+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 0.19s 0.59s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   19 (  13 unt;   4 nHn;  15 RR)
%            Number of literals    :   40 (   2 equ;  19 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    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).

cnf(2,negated_conjecture,
    v2_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).

cnf(3,negated_conjecture,
    l1_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).

cnf(4,negated_conjecture,
    ( ~ m1_subset_1(X,k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1')))
    | ~ v1_tsp_2(X,'SKOLEMAAAV1') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).

cnf(63,axiom,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).

cnf(80,axiom,
    m1_subset_1('SKOLEMAAAV8'(X),k1_zfmisc_1(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

cnf(81,axiom,
    v1_xboole_0('SKOLEMAAAV8'(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

cnf(118,axiom,
    ( v3_struct_0(X)
    | ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | ~ v3_tex_2(Y,X)
    | v1_tsp_1(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tsp_1) ).

cnf(121,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | ~ v1_xboole_0(Y)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | v3_tex_2(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_tex_2) ).

cnf(126,axiom,
    ( ~ v1_xboole_0(X)
    | X = k1_xboole_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

cnf(129,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_1(Y,X)
    | m1_subset_1('SKOLEMAAAV17'(X,Y),k1_zfmisc_1(u1_struct_0(X))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).

cnf(131,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_1(Y,X)
    | v1_tsp_2('SKOLEMAAAV17'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).

cnf(139,plain,
    'SKOLEMAAAV8'(X) = k1_xboole_0,
    inference('HYPERRESOLVE',[status(thm)],[126,81]) ).

cnf(140,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(X)),
    inference('REWRITE',[status(thm)],[80,139,theory(equality)]) ).

cnf(245,plain,
    v3_tex_2(k1_xboole_0,'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[121,1,2,3,63,140]) ).

cnf(258,plain,
    v1_tsp_1(k1_xboole_0,'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[118,245,1,3,140]) ).

cnf(290,plain,
    v1_tsp_2('SKOLEMAAAV17'('SKOLEMAAAV1',k1_xboole_0),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[131,258,1,2,3,140]) ).

cnf(291,plain,
    m1_subset_1('SKOLEMAAAV17'('SKOLEMAAAV1',k1_xboole_0),k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[129,258,1,2,3,140]) ).

cnf(429,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,290]),291]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.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 May 29 03:03:53 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 2022-05-29T03:03:54
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-29T03:03:54
% 0.19/0.50  WARNING:
% 0.19/0.50     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.59  
% 0.19/0.59  
% 0.19/0.59  #||
% 0.19/0.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.59  % SZS output start Refutation
% See solution above
% 0.19/0.59  ||#
% 0.19/0.59  
% 0.19/0.59  ; Summary of computation:
% 0.19/0.59  ;      1737 formulas have been input or derived (from 246 formulas).
% 0.19/0.59  ;       429 (25%) were retained.  Of these,
% 0.19/0.59  ;           86 (20%) were simplified or subsumed later,
% 0.19/0.59  ;          343 (80%) are still being kept.
% 0.19/0.59  ; 
% 0.19/0.59  ; Run time in seconds excluding printing time:
% 0.19/0.59  ;     0.016  13%   Read assertion file          (1 call)
% 0.19/0.59  ;     0.004   3%   Assert                       (63 calls)
% 0.19/0.59  ;     0.013  11%   Process new row              (1,506 calls)
% 0.19/0.59  ;     0.038  31%   Resolution                   (490 calls)
% 0.19/0.59  ;     0.000   0%   Paramodulation               (245 calls)
% 0.19/0.59  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.59  ;     0.001   1%   Condensing                   (156 calls)
% 0.19/0.59  ;     0.005   4%   Forward subsumption          (156 calls)
% 0.19/0.59  ;     0.002   2%   Backward subsumption         (127 calls)
% 0.19/0.59  ;     0.001   1%   Clause clause subsumption    (36 calls)
% 0.19/0.59  ;     0.004   3%   Forward simplification       (1,462 calls)
% 0.19/0.59  ;     0.004   3%   Backward simplification      (429 calls)
% 0.19/0.59  ;     0.000   0%   Ordering                     (67 calls)
% 0.19/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.59  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.59  ;     0.032  26%   Other
% 0.19/0.59  ;     0.121        Total
% 0.19/0.59  ;     0.123        Real time
% 0.19/0.59  ; 
% 0.19/0.59  ; Term-hash-array has 521 terms in all.
% 0.19/0.59  ; Feature-vector-row-index has 122 entries (122 at peak, 127 added, 5 deleted).
% 0.19/0.59  ; Feature-vector-row-index has 401 nodes (424 at peak, 451 added, 50 deleted).
% 0.19/0.59  ;  Retrieved 77 possibly forward subsuming rows in 156 calls.
% 0.19/0.59  ;  Retrieved 11 possibly backward subsumed rows in 127 calls.
% 0.19/0.59  ; Path-index has 436 entries (436 at peak, 527 added, 91 deleted).
% 0.19/0.59  ; Path-index has 907 nodes (907 at peak, 998 added, 91 deleted).
% 0.19/0.59  ; Trie-index has 436 entries (436 at peak, 527 added, 91 deleted).
% 0.19/0.59  ; Trie-index has 1,092 nodes (1,092 at peak, 1,230 added, 138 deleted).
% 0.19/0.59  ; Retrieved 1,161 generalization terms in 1,712 calls.
% 0.19/0.59  ; Retrieved 325 instance terms in 301 calls.
% 0.19/0.59  ; Retrieved 15,376 unifiable terms in 6,002 calls.
% 0.19/0.59  ; 
% 0.19/0.59  ; The agenda of rows to give has 118 entries:
% 0.19/0.59  ;     6 with value (4 10)         19 with value (4 13)          14 with value (4 16)
% 0.19/0.59  ;    32 with value (4 11)          9 with value (4 14)           6 with value (4 18)
% 0.19/0.59  ;    20 with value (4 12)         11 with value (4 15)           1 with value (4 19)
% 0.19/0.59  Evaluation took:
% 0.19/0.59    0.123 seconds of real time
% 0.19/0.59    0.107433 seconds of user run time
% 0.19/0.59    0.016002 seconds of system run time
% 0.19/0.59    0 calls to %EVAL
% 0.19/0.59    0 page faults and
% 0.19/0.59    8,185,216 bytes consed.
% 0.19/0.59  :PROOF-FOUND
% 0.19/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T03:03:54
% 0.19/0.59  :PROOF-FOUND
% 0.19/0.59  * 
%------------------------------------------------------------------------------