TSTP Solution File: SEU020+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:18:46 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   23 (   3 equ;  13 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(37,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | relation_dom(relation_composition(Y,X)) != relation_dom(Y)
    | subset(relation_rng(Y),relation_dom(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_funct_1) ).

cnf(41,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | ~ one_to_one(relation_composition(Y,X))
    | ~ subset(relation_rng(Y),relation_dom(X))
    | one_to_one(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_funct_1) ).

cnf(43,axiom,
    one_to_one(identity_relation(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_funct_1) ).

cnf(44,negated_conjecture,
    relation('SKOLEMAAAU10'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).

cnf(45,negated_conjecture,
    function('SKOLEMAAAU10'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).

cnf(46,negated_conjecture,
    relation('SKOLEMAAAU11'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).

cnf(47,negated_conjecture,
    function('SKOLEMAAAU11'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).

cnf(48,negated_conjecture,
    relation_composition('SKOLEMAAAU10','SKOLEMAAAU11') = identity_relation(relation_dom('SKOLEMAAAU10')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).

cnf(49,negated_conjecture,
    ~ one_to_one('SKOLEMAAAU10'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).

cnf(52,axiom,
    relation_dom(identity_relation(X)) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).

cnf(167,plain,
    ~ subset(relation_rng('SKOLEMAAAU10'),relation_dom('SKOLEMAAAU11')),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[41,48,theory(equality)]),49,43,45,44,47,46]) ).

cnf(169,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,48,theory(equality)]),167,52,45,44,47,46,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n020.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 : Mon Jun 20 11:01:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T11:01:33
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-20T11:01:33
% 0.18/0.47  WARNING:
% 0.18/0.47     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;       327 formulas have been input or derived (from 57 formulas).
% 0.18/0.51  ;       169 (52%) were retained.  Of these,
% 0.18/0.51  ;           10 ( 6%) were simplified or subsumed later,
% 0.18/0.51  ;          159 (94%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.007  12%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.001   2%   Assert                       (40 calls)
% 0.18/0.51  ;     0.008  13%   Process new row              (309 calls)
% 0.18/0.51  ;     0.011  18%   Resolution                   (112 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (56 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.18/0.52  ;     0.002   3%   Condensing                   (35 calls)
% 0.18/0.52  ;     0.000   0%   Forward subsumption          (35 calls)
% 0.18/0.52  ;     0.001   2%   Backward subsumption         (33 calls)
% 0.18/0.52  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 0.18/0.52  ;     0.001   2%   Forward simplification       (305 calls)
% 0.18/0.52  ;     0.000   0%   Backward simplification      (169 calls)
% 0.18/0.52  ;     0.000   0%   Ordering                     (35 calls)
% 0.18/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.18/0.52  ;     0.028  47%   Other
% 0.18/0.52  ;     0.060        Total
% 0.18/0.52  ;     0.061        Real time
% 0.18/0.52  ; 
% 0.18/0.52  ; Term-hash-array has 259 terms in all.
% 0.18/0.52  ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.18/0.52  ; Feature-vector-row-index has 77 nodes (77 at peak, 77 added, 0 deleted).
% 0.18/0.52  ;  Retrieved 9 possibly forward subsuming rows in 35 calls.
% 0.18/0.52  ;  Retrieved 3 possibly backward subsumed rows in 33 calls.
% 0.18/0.52  ; Path-index has 258 entries (258 at peak, 268 added, 10 deleted).
% 0.18/0.52  ; Path-index has 283 nodes (283 at peak, 293 added, 10 deleted).
% 0.18/0.52  ; Trie-index has 258 entries (258 at peak, 268 added, 10 deleted).
% 0.18/0.52  ; Trie-index has 399 nodes (399 at peak, 415 added, 16 deleted).
% 0.18/0.52  ; Retrieved 162 generalization terms in 451 calls.
% 0.18/0.52  ; Retrieved 142 instance terms in 135 calls.
% 0.18/0.52  ; Retrieved 8,176 unifiable terms in 1,376 calls.
% 0.18/0.52  ; 
% 0.18/0.52  ; The agenda of rows to process has 1 entry:
% 0.18/0.52  ;     1 with value 37
% 0.18/0.52  ; The agenda of rows to give has 107 entries:
% 0.18/0.52  ;     1 with value (4 4)          59 with value (4 7)            5 with value (4 10)
% 0.18/0.52  ;     4 with value (4 5)           4 with value (4 8)            2 with value (4 11)
% 0.18/0.52  ;     8 with value (4 6)          23 with value (4 9)            1 with value (4 24)
% 0.18/0.52  Evaluation took:
% 0.18/0.52    0.061 seconds of real time
% 0.18/0.52    0.056032 seconds of user run time
% 0.18/0.52    0.005184 seconds of system run time
% 0.18/0.52    0 calls to %EVAL
% 0.18/0.52    0 page faults and
% 0.18/0.52    3,582,704 bytes consed.
% 0.18/0.52  :PROOF-FOUND
% 0.18/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T11:01:33
% 0.18/0.52  :PROOF-FOUND
% 0.18/0.52  * 
%------------------------------------------------------------------------------