TSTP Solution File: SEU375+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:22:05 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   36 (  26 unt;   3 nHn;  36 RR)
%            Number of literals    :   68 (   4 equ;  33 neg)
%            Maximal clause size   :   13 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ one_sorted_str(X)
    | ~ net_str(Y,X)
    | ~ subnetstr(Z,X,Y)
    | ~ full_subnetstr(Z,X,Y)
    | full_subrelstr(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_6) ).

cnf(3,axiom,
    ( ~ one_sorted_str(X)
    | ~ net_str(Y,X)
    | ~ subnetstr(Z,X,Y)
    | ~ full_subnetstr(Z,X,Y)
    | subrelstr(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_6) ).

cnf(5,axiom,
    ( ~ rel_str(X)
    | one_sorted_str(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).

cnf(6,axiom,
    ( ~ one_sorted_str(X)
    | ~ net_str(Y,X)
    | rel_str(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).

cnf(8,axiom,
    ( ~ one_sorted_str(X)
    | ~ net_str(Y,X)
    | ~ subnetstr(Z,X,Y)
    | net_str(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).

cnf(16,axiom,
    ( empty_carrier(X)
    | ~ one_sorted_str(X)
    | ~ empty(the_carrier(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

cnf(23,negated_conjecture,
    one_sorted_str('SKOLEMAAAV16'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(25,negated_conjecture,
    net_str('SKOLEMAAAV17','SKOLEMAAAV16'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(26,negated_conjecture,
    ~ empty_carrier('SKOLEMAAAV18'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(27,negated_conjecture,
    full_subnetstr('SKOLEMAAAV18','SKOLEMAAAV16','SKOLEMAAAV17'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(28,negated_conjecture,
    subnetstr('SKOLEMAAAV18','SKOLEMAAAV16','SKOLEMAAAV17'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(29,negated_conjecture,
    element('SKOLEMAAAV19',the_carrier('SKOLEMAAAV17')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(30,negated_conjecture,
    element('SKOLEMAAAV20',the_carrier('SKOLEMAAAV17')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(31,negated_conjecture,
    element('SKOLEMAAAV21',the_carrier('SKOLEMAAAV18')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(32,negated_conjecture,
    element('SKOLEMAAAV22',the_carrier('SKOLEMAAAV18')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(33,negated_conjecture,
    'SKOLEMAAAV19' = 'SKOLEMAAAV21',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(34,negated_conjecture,
    'SKOLEMAAAV20' = 'SKOLEMAAAV22',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(35,negated_conjecture,
    related('SKOLEMAAAV17','SKOLEMAAAV19','SKOLEMAAAV20'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(36,negated_conjecture,
    ~ related('SKOLEMAAAV18','SKOLEMAAAV21','SKOLEMAAAV22'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).

cnf(37,plain,
    ~ related('SKOLEMAAAV18','SKOLEMAAAV19','SKOLEMAAAV20'),
    inference('REWRITE',[status(thm)],[36,34,33,theory(equality)]) ).

cnf(38,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

cnf(39,axiom,
    ( ~ rel_str(X)
    | ~ full_subrelstr(Y,X)
    | ~ subrelstr(Y,X)
    | ~ element(Z,the_carrier(X))
    | ~ element(U,the_carrier(X))
    | ~ element(V,the_carrier(Y))
    | ~ element(W,the_carrier(Y))
    | V != Z
    | W != U
    | ~ related(X,Z,U)
    | ~ in(V,the_carrier(Y))
    | ~ in(W,the_carrier(Y))
    | related(Y,V,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_yellow_0) ).

cnf(43,plain,
    element('SKOLEMAAAV20',the_carrier('SKOLEMAAAV18')),
    inference('REWRITE',[status(thm)],[32,34,theory(equality)]) ).

cnf(44,plain,
    element('SKOLEMAAAV19',the_carrier('SKOLEMAAAV18')),
    inference('REWRITE',[status(thm)],[31,33,theory(equality)]) ).

cnf(53,plain,
    rel_str('SKOLEMAAAV17'),
    inference('HYPERRESOLVE',[status(thm)],[6,23,25]) ).

cnf(57,plain,
    ( empty(the_carrier('SKOLEMAAAV18'))
    | in('SKOLEMAAAV20',the_carrier('SKOLEMAAAV18')) ),
    inference('HYPERRESOLVE',[status(thm)],[38,43]) ).

cnf(58,plain,
    ( empty(the_carrier('SKOLEMAAAV18'))
    | in('SKOLEMAAAV19',the_carrier('SKOLEMAAAV18')) ),
    inference('HYPERRESOLVE',[status(thm)],[38,44]) ).

cnf(62,plain,
    net_str('SKOLEMAAAV18','SKOLEMAAAV16'),
    inference('HYPERRESOLVE',[status(thm)],[8,23,25,28]) ).

cnf(63,plain,
    full_subrelstr('SKOLEMAAAV18','SKOLEMAAAV17'),
    inference('HYPERRESOLVE',[status(thm)],[2,23,25,28,27]) ).

cnf(64,plain,
    subrelstr('SKOLEMAAAV18','SKOLEMAAAV17'),
    inference('HYPERRESOLVE',[status(thm)],[3,23,25,28,27]) ).

cnf(68,plain,
    rel_str('SKOLEMAAAV18'),
    inference('HYPERRESOLVE',[status(thm)],[6,62,23]) ).

cnf(74,plain,
    one_sorted_str('SKOLEMAAAV18'),
    inference('HYPERRESOLVE',[status(thm)],[5,68]) ).

cnf(77,plain,
    ~ empty(the_carrier('SKOLEMAAAV18')),
    inference('UR-RESOLVE',[status(thm)],[16,74,26]) ).

cnf(78,plain,
    in('SKOLEMAAAV20',the_carrier('SKOLEMAAAV18')),
    inference('REWRITE',[status(thm)],[57,77]) ).

cnf(79,plain,
    in('SKOLEMAAAV19',the_carrier('SKOLEMAAAV18')),
    inference('REWRITE',[status(thm)],[58,77]) ).

cnf(92,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,78,53,63,64,29,30,44,43,35,37,theory(equality),theory(equality)]),79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 11:41:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:41:00
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-20T11:41:00
% 0.19/0.50  WARNING:
% 0.19/0.50     |v1_yellow_3| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  #||
% 0.19/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53  % SZS output start Refutation
% See solution above
% 0.19/0.54  ||#
% 0.19/0.54  
% 0.19/0.54  ; Summary of computation:
% 0.19/0.54  ;       177 formulas have been input or derived (from 62 formulas).
% 0.19/0.54  ;        92 (52%) were retained.  Of these,
% 0.19/0.54  ;            9 (10%) were simplified or subsumed later,
% 0.19/0.54  ;           83 (90%) are still being kept.
% 0.19/0.54  ; 
% 0.19/0.54  ; Run time in seconds excluding printing time:
% 0.19/0.54  ;     0.008  14%   Read assertion file          (1 call)
% 0.19/0.54  ;     0.002   3%   Assert                       (40 calls)
% 0.19/0.54  ;     0.003   5%   Process new row              (142 calls)
% 0.19/0.54  ;     0.018  31%   Resolution                   (122 calls)
% 0.19/0.54  ;     0.001   2%   Paramodulation               (61 calls)
% 0.19/0.54  ;     0.000   0%   Condensing                   (23 calls)
% 0.19/0.54  ;     0.000   0%   Forward subsumption          (23 calls)
% 0.19/0.54  ;     0.000   0%   Backward subsumption         (23 calls)
% 0.19/0.54  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.19/0.54  ;     0.001   2%   Forward simplification       (115 calls)
% 0.19/0.54  ;     0.000   0%   Backward simplification      (91 calls)
% 0.19/0.54  ;     0.000   0%   Ordering                     (32 calls)
% 0.19/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.54  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.54  ;     0.025  42%   Other
% 0.19/0.54  ;     0.059        Total
% 0.19/0.54  ;     0.063        Real time
% 0.19/0.54  ; 
% 0.19/0.54  ; Term-hash-array has 126 terms in all.
% 0.19/0.54  ; Feature-vector-row-index has 19 entries (23 at peak, 23 added, 4 deleted).
% 0.19/0.54  ; Feature-vector-row-index has 55 nodes (79 at peak, 79 added, 24 deleted).
% 0.19/0.54  ;  Retrieved 1 possibly forward subsuming row in 23 calls.
% 0.19/0.54  ;  Retrieved 0 possibly backward subsumed rows in 23 calls.
% 0.19/0.54  ; Path-index has 136 entries (136 at peak, 145 added, 9 deleted).
% 0.19/0.54  ; Path-index has 228 nodes (228 at peak, 236 added, 8 deleted).
% 0.19/0.54  ; Trie-index has 136 entries (136 at peak, 145 added, 9 deleted).
% 0.19/0.54  ; Trie-index has 239 nodes (239 at peak, 252 added, 13 deleted).
% 0.19/0.54  ; Retrieved 18 generalization terms in 98 calls.
% 0.19/0.54  ; Retrieved 67 instance terms in 67 calls.
% 0.19/0.54  ; Retrieved 7,340 unifiable terms in 3,220 calls.
% 0.19/0.54  ; 
% 0.19/0.54  ; The agenda of rows to give has 23 entries:
% 0.19/0.54  ;     5 with value (4 7)           4 with value (4 9)            1 with value (4 11)
% 0.19/0.54  ;     7 with value (4 8)           3 with value (4 10)           3 with value (4 13)
% 0.19/0.54  Evaluation took:
% 0.19/0.54    0.064 seconds of real time
% 0.19/0.54    0.058845 seconds of user run time
% 0.19/0.54    0.005058 seconds of system run time
% 0.19/0.54    0 calls to %EVAL
% 0.19/0.54    0 page faults and
% 0.19/0.54    5,138,488 bytes consed.
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:41:00
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  * 
%------------------------------------------------------------------------------