TSTP Solution File: TOP026+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 21:34:23 EDT 2022

% Result   : Theorem 0.48s 0.64s
% Output   : Refutation 0.48s
% 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('SKOLEMAAAW1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).

cnf(2,negated_conjecture,
    v2_pre_topc('SKOLEMAAAW1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).

cnf(3,negated_conjecture,
    l1_pre_topc('SKOLEMAAAW1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).

cnf(4,negated_conjecture,
    m1_subset_1('SKOLEMAAAW2',k1_zfmisc_1(u1_struct_0('SKOLEMAAAW1'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).

cnf(5,negated_conjecture,
    v1_tsp_2('SKOLEMAAAW2','SKOLEMAAAW1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).

cnf(6,negated_conjecture,
    m1_subset_1('SKOLEMAAAW3',k1_zfmisc_1(u1_struct_0('SKOLEMAAAW1'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).

cnf(7,negated_conjecture,
    k6_pre_topc('SKOLEMAAAW1','SKOLEMAAAW3') != k3_tex_4('SKOLEMAAAW1',k5_subset_1(u1_struct_0('SKOLEMAAAW1'),'SKOLEMAAAW2',k6_pre_topc('SKOLEMAAAW1','SKOLEMAAAW3'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).

cnf(132,axiom,
    ( ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | m1_subset_1(k6_pre_topc(X,Y),k1_zfmisc_1(u1_struct_0(X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).

cnf(135,axiom,
    ( ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | v4_pre_topc(k6_pre_topc(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_tops_1) ).

cnf(140,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)))
    | ~ v4_pre_topc(Z,X)
    | Z = k3_tex_4(X,k5_subset_1(u1_struct_0(X),Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tsp_2) ).

cnf(267,plain,
    m1_subset_1(k6_pre_topc('SKOLEMAAAW1','SKOLEMAAAW3'),k1_zfmisc_1(u1_struct_0('SKOLEMAAAW1'))),
    inference('HYPERRESOLVE',[status(thm)],[132,3,6]) ).

cnf(274,plain,
    v4_pre_topc(k6_pre_topc('SKOLEMAAAW1','SKOLEMAAAW3'),'SKOLEMAAAW1'),
    inference('HYPERRESOLVE',[status(thm)],[135,2,3,6]) ).

cnf(470,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[140,274,1,2,3,4,5,7]),267]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n022.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 : Sun May 29 09:11:23 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  * 
% 0.20/0.49  #<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)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T09:11:23
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-29T09:11:23
% 0.20/0.52  
% 0.20/0.53  ; Recognized commutativity assertion (= (|k3_xboole_0| ?X ?Y) (|k3_xboole_0| ?Y ?X)).
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  WARNING:
% 0.20/0.53     |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.64  ; Declaring k3_xboole_0 to be commutative.
% 0.48/0.64  
% 0.48/0.64  #||
% 0.48/0.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64  % SZS output start Refutation
% See solution above
% 0.48/0.64  ||#
% 0.48/0.64  
% 0.48/0.64  ; Summary of computation:
% 0.48/0.64  ;      1759 formulas have been input or derived (from 197 formulas).
% 0.48/0.64  ;       470 (27%) were retained.  Of these,
% 0.48/0.64  ;           80 (17%) were simplified or subsumed later,
% 0.48/0.64  ;          390 (83%) are still being kept.
% 0.48/0.64  ; 
% 0.48/0.64  ; Run time in seconds:
% 0.48/0.64  ;     0.019  13%   Read assertion file          (1 call)
% 0.48/0.64  ;     0.004   3%   Assert                       (78 calls)
% 0.48/0.64  ;     0.028  19%   Process new row              (1,590 calls)
% 0.48/0.64  ;     0.028  19%   Resolution                   (392 calls)
% 0.48/0.64  ;     0.003   2%   Paramodulation               (196 calls)
% 0.48/0.64  ;     0.000   0%   Factoring                    (1 call)
% 0.48/0.64  ;     0.004   3%   Condensing                   (215 calls)
% 0.48/0.64  ;     0.005   3%   Forward subsumption          (215 calls)
% 0.48/0.64  ;     0.002   1%   Backward subsumption         (164 calls)
% 0.48/0.64  ;     0.000   0%   Clause clause subsumption    (101 calls)
% 0.48/0.64  ;     0.009   6%   Forward simplification       (1,563 calls)
% 0.48/0.64  ;     0.006   4%   Backward simplification      (469 calls)
% 0.48/0.64  ;     0.000   0%   Ordering                     (147 calls)
% 0.48/0.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.64  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.64  ;     0.038  26%   Other
% 0.48/0.64  ;     0.147        Total
% 0.48/0.64  ;     0.147        Real time
% 0.48/0.64  ; 
% 0.48/0.64  ; Term-hash-array has 614 terms in all.
% 0.48/0.64  ; Feature-vector-row-index has 151 entries (151 at peak, 164 added, 13 deleted).
% 0.48/0.64  ; Feature-vector-row-index has 573 nodes (573 at peak, 669 added, 96 deleted).
% 0.48/0.64  ;  Retrieved 109 possibly forward subsuming rows in 215 calls.
% 0.48/0.64  ;  Retrieved 51 possibly backward subsumed rows in 164 calls.
% 0.48/0.64  ; Path-index has 554 entries (554 at peak, 642 added, 88 deleted).
% 0.48/0.64  ; Path-index has 996 nodes (996 at peak, 1,075 added, 79 deleted).
% 0.48/0.64  ; Trie-index has 554 entries (554 at peak, 642 added, 88 deleted).
% 0.48/0.64  ; Trie-index has 1,546 nodes (1,546 at peak, 1,880 added, 334 deleted).
% 0.48/0.64  ; Retrieved 1,573 generalization terms in 2,326 calls.
% 0.48/0.64  ; Retrieved 390 instance terms in 304 calls.
% 0.48/0.64  ; Retrieved 19,718 unifiable terms in 4,228 calls.
% 0.48/0.64  ; 
% 0.48/0.64  ; The agenda of rows to give has 198 entries:
% 0.48/0.64  ;     8 with value (4 8)          12 with value (4 14)           3 with value (4 19)
% 0.48/0.64  ;    18 with value (4 9)           6 with value (4 15)           2 with value (4 20)
% 0.48/0.64  ;    19 with value (4 10)         19 with value (4 16)           4 with value (4 21)
% 0.48/0.64  ;    33 with value (4 11)          1 with value (4 17)           3 with value (4 22)
% 0.48/0.64  ;    26 with value (4 12)         21 with value (4 18)           1 with value (4 23)
% 0.48/0.64  ;    22 with value (4 13)
% 0.48/0.64  Evaluation took:
% 0.48/0.64    0.148 seconds of real time
% 0.48/0.64    0.130927 seconds of user run time
% 0.48/0.64    0.016872 seconds of system run time
% 0.48/0.64    0 calls to %EVAL
% 0.48/0.64    0 page faults and
% 0.48/0.64    8,741,672 bytes consed.
% 0.48/0.64  :PROOF-FOUND
% 0.48/0.64  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T09:11:23
% 0.48/0.64  :PROOF-FOUND
% 0.48/0.64  * 
%------------------------------------------------------------------------------