TSTP Solution File: SEU096+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 14:19:06 EDT 2022

% Result   : Theorem 0.39s 0.54s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;  10 RR)
%            Number of literals    :   16 (   2 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(18,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ finite(Y)
    | finite(relation_image(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_finset_1) ).

cnf(100,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ subset(Y,relation_rng(X))
    | relation_image(X,relation_inverse_image(X,Y)) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_1) ).

cnf(102,negated_conjecture,
    relation('SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finset_1) ).

cnf(103,negated_conjecture,
    function('SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finset_1) ).

cnf(104,negated_conjecture,
    subset('SKOLEMAAAV27',relation_rng('SKOLEMAAAV28')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finset_1) ).

cnf(105,negated_conjecture,
    finite(relation_inverse_image('SKOLEMAAAV28','SKOLEMAAAV27')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finset_1) ).

cnf(106,negated_conjecture,
    ~ finite('SKOLEMAAAV27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finset_1) ).

cnf(251,plain,
    finite(relation_image('SKOLEMAAAV28',relation_inverse_image('SKOLEMAAAV28','SKOLEMAAAV27'))),
    inference('HYPERRESOLVE',[status(thm)],[18,102,103,105]) ).

cnf(269,plain,
    relation_image('SKOLEMAAAV28',relation_inverse_image('SKOLEMAAAV28','SKOLEMAAAV27')) = 'SKOLEMAAAV27',
    inference('HYPERRESOLVE',[status(thm)],[100,102,103,104]) ).

cnf(270,plain,
    $false,
    inference('REWRITE',[status(thm)],[251,106,269,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 19 18:59:30 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:59:30
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-19T18:59:30
% 0.20/0.50  WARNING:
% 0.20/0.50     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |with_non_empty_elements| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |function_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |being_limit_ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |transfinite_sequence| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |ordinal_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.54  
% 0.39/0.54  
% 0.39/0.54  #||
% 0.39/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.54  % SZS output start Refutation
% See solution above
% 0.39/0.54  ||#
% 0.39/0.54  
% 0.39/0.54  ; Summary of computation:
% 0.39/0.54  ;       555 formulas have been input or derived (from 117 formulas).
% 0.39/0.54  ;       270 (49%) were retained.  Of these,
% 0.39/0.54  ;           53 (20%) were simplified or subsumed later,
% 0.39/0.54  ;          217 (80%) are still being kept.
% 0.39/0.54  ; 
% 0.39/0.54  ; Run time in seconds excluding printing time:
% 0.39/0.55  ;     0.011  15%   Read assertion file          (1 call)
% 0.39/0.55  ;     0.004   6%   Assert                       (60 calls)
% 0.39/0.55  ;     0.012  17%   Process new row              (522 calls)
% 0.39/0.55  ;     0.009  13%   Resolution                   (232 calls)
% 0.39/0.55  ;     0.000   0%   Paramodulation               (116 calls)
% 0.39/0.55  ;     0.000   0%   Factoring                    (3 calls)
% 0.39/0.55  ;     0.001   1%   Condensing                   (57 calls)
% 0.39/0.55  ;     0.000   0%   Forward subsumption          (57 calls)
% 0.39/0.55  ;     0.001   1%   Backward subsumption         (50 calls)
% 0.39/0.55  ;     0.000   0%   Clause clause subsumption    (15 calls)
% 0.39/0.55  ;     0.004   6%   Forward simplification       (494 calls)
% 0.39/0.55  ;     0.002   3%   Backward simplification      (270 calls)
% 0.39/0.55  ;     0.000   0%   Ordering                     (35 calls)
% 0.39/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.55  ;     0.001   1%   Purity testing               (1 call)
% 0.39/0.55  ;     0.026  37%   Other
% 0.39/0.55  ;     0.071        Total
% 0.39/0.55  ;     0.074        Real time
% 0.39/0.55  ; 
% 0.39/0.55  ; Term-hash-array has 359 terms in all.
% 0.39/0.55  ; Feature-vector-row-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.39/0.55  ; Feature-vector-row-index has 135 nodes (135 at peak, 135 added, 0 deleted).
% 0.39/0.55  ;  Retrieved 14 possibly forward subsuming rows in 57 calls.
% 0.39/0.55  ;  Retrieved 6 possibly backward subsumed rows in 50 calls.
% 0.39/0.55  ; Path-index has 331 entries (332 at peak, 384 added, 53 deleted).
% 0.39/0.55  ; Path-index has 461 nodes (461 at peak, 513 added, 52 deleted).
% 0.39/0.55  ; Trie-index has 331 entries (332 at peak, 384 added, 53 deleted).
% 0.39/0.55  ; Trie-index has 562 nodes (565 at peak, 638 added, 76 deleted).
% 0.39/0.55  ; Retrieved 233 generalization terms in 504 calls.
% 0.39/0.55  ; Retrieved 241 instance terms in 219 calls.
% 0.39/0.55  ; Retrieved 3,342 unifiable terms in 1,005 calls.
% 0.39/0.55  ; 
% 0.39/0.55  ; The agenda of rows to process has 18 entries:
% 0.39/0.55  ;    18 with value 14
% 0.39/0.55  ; The agenda of rows to give has 127 entries:
% 0.39/0.55  ;     2 with value (4 4)          18 with value (4 8)            9 with value (4 12)
% 0.39/0.55  ;     9 with value (4 5)           3 with value (4 9)            1 with value (4 13)
% 0.39/0.55  ;    43 with value (4 6)          13 with value (4 10)           1 with value (4 15)
% 0.39/0.55  ;    21 with value (4 7)           6 with value (4 11)           1 with value (4 16)
% 0.39/0.55  Evaluation took:
% 0.39/0.55    0.074 seconds of real time
% 0.39/0.55    0.063087 seconds of user run time
% 0.39/0.55    0.010984 seconds of system run time
% 0.39/0.55    0 calls to %EVAL
% 0.39/0.55    0 page faults and
% 0.39/0.55    3,967,384 bytes consed.
% 0.39/0.55  :PROOF-FOUND
% 0.39/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:59:30
% 0.39/0.55  :PROOF-FOUND
% 0.39/0.55  * 
%------------------------------------------------------------------------------