TSTP Solution File: TOP025+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : TOP025+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  10 unt;   5 nHn;  16 RR)
%            Number of literals    :   35 (   7 equ;  17 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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

cnf(2,negated_conjecture,
    v2_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

cnf(3,negated_conjecture,
    l1_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

cnf(4,negated_conjecture,
    m1_subset_1('SKOLEMAAAV2',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

cnf(5,negated_conjecture,
    ( v3_pre_topc('SKOLEMAAAV2','SKOLEMAAAV1')
    | v4_pre_topc('SKOLEMAAAV2','SKOLEMAAAV1') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

cnf(6,negated_conjecture,
    v1_tsp_2('SKOLEMAAAV2','SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

cnf(7,negated_conjecture,
    v1_tex_2('SKOLEMAAAV2',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

cnf(47,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)
    | k3_tex_4(X,Y) = u1_struct_0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).

cnf(115,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | ~ v3_pre_topc(Y,X)
    | k3_tex_4(X,Y) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_tex_4) ).

cnf(117,axiom,
    ( ~ m1_subset_1(X,k1_zfmisc_1(Y))
    | ~ v1_tex_2(X,k1_zfmisc_1(Y))
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).

cnf(119,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
    | ~ v4_pre_topc(Y,X)
    | k3_tex_4(X,Y) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).

cnf(208,plain,
    'SKOLEMAAAV2' != u1_struct_0('SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[117,4,7]) ).

cnf(227,plain,
    ( v3_pre_topc('SKOLEMAAAV2','SKOLEMAAAV1')
    | k3_tex_4('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2' ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[119,2,3,4,5]),1]) ).

cnf(228,plain,
    k3_tex_4('SKOLEMAAAV1','SKOLEMAAAV2') = u1_struct_0('SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[47,1,2,3,4,6]) ).

cnf(229,plain,
    v3_pre_topc('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('REWRITE',[status(thm)],[227,208,228,theory(equality)]) ).

cnf(236,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[115,229,1,2,3,4]),208,228,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : TOP025+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 04:17:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T04:17:54
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-29T04:17:54
% 0.18/0.49  WARNING:
% 0.18/0.49     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  #||
% 0.18/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55  % SZS output start Refutation
% See solution above
% 0.18/0.55  ||#
% 0.18/0.55  
% 0.18/0.55  ; Summary of computation:
% 0.18/0.55  ;       517 formulas have been input or derived (from 135 formulas).
% 0.18/0.55  ;       236 (46%) were retained.  Of these,
% 0.18/0.55  ;           12 ( 5%) were simplified or subsumed later,
% 0.18/0.55  ;          224 (95%) are still being kept.
% 0.18/0.55  ; 
% 0.18/0.55  ; Run time in seconds excluding printing time:
% 0.18/0.55  ;     0.015  18%   Read assertion file          (1 call)
% 0.18/0.55  ;     0.004   5%   Assert                       (61 calls)
% 0.18/0.55  ;     0.015  18%   Process new row              (431 calls)
% 0.18/0.55  ;     0.012  14%   Resolution                   (268 calls)
% 0.18/0.55  ;     0.002   2%   Paramodulation               (134 calls)
% 0.18/0.55  ;     0.000   0%   Factoring                    (2 calls)
% 0.18/0.55  ;     0.001   1%   Condensing                   (109 calls)
% 0.18/0.55  ;     0.004   5%   Forward subsumption          (109 calls)
% 0.18/0.55  ;     0.001   1%   Backward subsumption         (108 calls)
% 0.18/0.55  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.18/0.55  ;     0.002   2%   Forward simplification       (416 calls)
% 0.18/0.55  ;     0.002   2%   Backward simplification      (236 calls)
% 0.18/0.55  ;     0.000   0%   Ordering                     (35 calls)
% 0.18/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.55  ;     0.002   2%   Purity testing               (1 call)
% 0.18/0.55  ;     0.025  29%   Other
% 0.18/0.55  ;     0.085        Total
% 0.18/0.55  ;     0.087        Real time
% 0.18/0.55  ; 
% 0.18/0.55  ; Term-hash-array has 278 terms in all.
% 0.18/0.55  ; Feature-vector-row-index has 105 entries (107 at peak, 108 added, 3 deleted).
% 0.18/0.55  ; Feature-vector-row-index has 342 nodes (364 at peak, 368 added, 26 deleted).
% 0.18/0.55  ;  Retrieved 44 possibly forward subsuming rows in 109 calls.
% 0.18/0.55  ;  Retrieved 13 possibly backward subsumed rows in 108 calls.
% 0.18/0.55  ; Path-index has 274 entries (275 at peak, 288 added, 14 deleted).
% 0.18/0.55  ; Path-index has 462 nodes (462 at peak, 474 added, 12 deleted).
% 0.18/0.55  ; Trie-index has 274 entries (275 at peak, 288 added, 14 deleted).
% 0.18/0.55  ; Trie-index has 575 nodes (579 at peak, 612 added, 37 deleted).
% 0.18/0.55  ; Retrieved 241 generalization terms in 568 calls.
% 0.18/0.55  ; Retrieved 145 instance terms in 127 calls.
% 0.18/0.55  ; Retrieved 7,028 unifiable terms in 2,060 calls.
% 0.18/0.55  ; 
% 0.18/0.55  ; The agenda of rows to process has 1 entry:
% 0.18/0.55  ;     1 with value 12
% 0.18/0.55  ; The agenda of rows to give has 92 entries:
% 0.18/0.55  ;    28 with value (4 6)           4 with value (4 11)           1 with value (4 17)
% 0.18/0.55  ;    22 with value (4 7)           1 with value (4 13)           1 with value (4 18)
% 0.18/0.55  ;    12 with value (4 8)           3 with value (4 14)           1 with value (4 19)
% 0.18/0.55  ;     5 with value (4 9)           1 with value (4 16)           1 with value (4 22)
% 0.18/0.55  ;    12 with value (4 10)
% 0.18/0.55  Evaluation took:
% 0.18/0.55    0.088 seconds of real time
% 0.18/0.55    0.077262 seconds of user run time
% 0.18/0.55    0.010185 seconds of system run time
% 0.18/0.55    0 calls to %EVAL
% 0.18/0.55    0 page faults and
% 0.18/0.55    5,138,720 bytes consed.
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T04:17:54
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  * 
%------------------------------------------------------------------------------