TSTP Solution File: SEU355+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 14:21:34 EDT 2022

% Result   : Theorem 0.36s 0.53s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;   9 RR)
%            Number of literals    :   19 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ rel_str(X)
    | ~ element(Y,the_carrier(X))
    | relstr_element_smaller(X,Z,Y)
    | in('SKOLEMAAAW1'(X,Z,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).

cnf(8,axiom,
    ( ~ rel_str(X)
    | ~ element(Y,the_carrier(X))
    | relstr_set_smaller(X,Z,Y)
    | in('SKOLEMAAAW2'(X,Z,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattice3) ).

cnf(12,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

cnf(19,negated_conjecture,
    rel_str('SKOLEMAAAW9'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).

cnf(20,negated_conjecture,
    element('SKOLEMAAAW10',the_carrier('SKOLEMAAAW9')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).

cnf(21,negated_conjecture,
    ( ~ relstr_set_smaller('SKOLEMAAAW9',empty_set,'SKOLEMAAAW10')
    | ~ relstr_element_smaller('SKOLEMAAAW9',empty_set,'SKOLEMAAAW10') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).

cnf(22,axiom,
    ( ~ in(X,Y)
    | ~ empty(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

cnf(25,plain,
    ~ in(X,empty_set),
    inference('UR-RESOLVE',[status(thm)],[22,12]) ).

cnf(42,plain,
    relstr_element_smaller('SKOLEMAAAW9',empty_set,'SKOLEMAAAW10'),
    inference('UR-RESOLVE',[status(thm)],[4,25,19,20]) ).

cnf(43,plain,
    ~ relstr_set_smaller('SKOLEMAAAW9',empty_set,'SKOLEMAAAW10'),
    inference('REWRITE',[status(thm)],[21,42]) ).

cnf(44,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,25,19,20]),43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 10:36:19 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T10:36:19
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-19T10:36:19
% 0.21/0.51  WARNING:
% 0.21/0.51     |finite| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51  WARNING:
% 0.21/0.51     |one_sorted_str| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.53  
% 0.36/0.53  
% 0.36/0.53  #||
% 0.36/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53  % SZS output start Refutation
% See solution above
% 0.36/0.53  ||#
% 0.36/0.53  
% 0.36/0.53  ; Summary of computation:
% 0.36/0.53  ;        60 formulas have been input or derived (from 26 formulas).
% 0.36/0.53  ;        44 (73%) were retained.  Of these,
% 0.36/0.53  ;            2 ( 5%) were simplified or subsumed later,
% 0.36/0.53  ;           42 (95%) are still being kept.
% 0.36/0.53  ; 
% 0.36/0.53  ; Run time in seconds excluding printing time:
% 0.36/0.53  ;     0.004  10%   Read assertion file          (1 call)
% 0.36/0.53  ;     0.002   5%   Assert                       (22 calls)
% 0.36/0.53  ;     0.000   0%   Process new row              (55 calls)
% 0.36/0.53  ;     0.003   8%   Resolution                   (50 calls)
% 0.36/0.53  ;     0.000   0%   Paramodulation               (25 calls)
% 0.36/0.53  ;     0.002   5%   Condensing                   (29 calls)
% 0.36/0.53  ;     0.000   0%   Forward subsumption          (29 calls)
% 0.36/0.53  ;     0.000   0%   Backward subsumption         (29 calls)
% 0.36/0.53  ;     0.003   8%   Forward simplification       (50 calls)
% 0.36/0.53  ;     0.002   5%   Backward simplification      (44 calls)
% 0.36/0.53  ;     0.000   0%   Ordering                     (21 calls)
% 0.36/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.36/0.53  ;     0.023  59%   Other
% 0.36/0.53  ;     0.039        Total
% 0.36/0.53  ;     0.040        Real time
% 0.36/0.53  ; 
% 0.36/0.53  ; Term-hash-array has 72 terms in all.
% 0.36/0.53  ; Feature-vector-row-index has 28 entries (29 at peak, 29 added, 1 deleted).
% 0.36/0.53  ; Feature-vector-row-index has 177 nodes (186 at peak, 186 added, 9 deleted).
% 0.36/0.53  ;  Retrieved 0 possibly forward subsuming rows in 29 calls.
% 0.36/0.53  ;  Retrieved 0 possibly backward subsumed rows in 29 calls.
% 0.36/0.53  ; Path-index has 78 entries (78 at peak, 80 added, 2 deleted).
% 0.36/0.53  ; Path-index has 196 nodes (196 at peak, 198 added, 2 deleted).
% 0.36/0.53  ; Trie-index has 78 entries (78 at peak, 80 added, 2 deleted).
% 0.36/0.53  ; Trie-index has 222 nodes (222 at peak, 225 added, 3 deleted).
% 0.36/0.53  ; Retrieved 3 generalization terms in 33 calls.
% 0.36/0.53  ; Retrieved 14 instance terms in 14 calls.
% 0.36/0.53  ; Retrieved 765 unifiable terms in 272 calls.
% 0.36/0.53  ; 
% 0.36/0.53  ; The agenda of rows to process has 4 entries:
% 0.36/0.53  ;     4 with value 11
% 0.36/0.53  ; The agenda of input rows to give has 1 entry:
% 0.36/0.53  ;     1 with value 5
% 0.36/0.53  ; The agenda of rows to give has 17 entries:
% 0.36/0.53  ;     3 with value (4 7)           2 with value (4 14)           4 with value (4 22)
% 0.36/0.53  ;     1 with value (4 10)          2 with value (4 15)           4 with value (4 23)
% 0.36/0.53  ;     1 with value (4 12)
% 0.36/0.53  Evaluation took:
% 0.36/0.53    0.041 seconds of real time
% 0.36/0.53    0.035883 seconds of user run time
% 0.36/0.53    0.004811 seconds of system run time
% 0.36/0.53    0 calls to %EVAL
% 0.36/0.53    0 page faults and
% 0.36/0.53    2,411,592 bytes consed.
% 0.36/0.53  :PROOF-FOUND
% 0.36/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T10:36:19
% 0.36/0.53  :PROOF-FOUND
% 0.36/0.53  * 
%------------------------------------------------------------------------------