TSTP Solution File: SEU204+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU204+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 14:20:06 EDT 2022

% Result   : Theorem 0.55s 0.72s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   1 nHn;   9 RR)
%            Number of literals    :   18 (   2 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ relation(X)
    | Y != relation_image(X,Z)
    | ~ in(U,Y)
    | in(ordered_pair('SKOLEMAAAV1'(U,X,Z),U),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).

cnf(10,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV4'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(11,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV4'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(13,axiom,
    ( ~ relation(X)
    | Y != relation_rng(X)
    | in(Z,Y)
    | ~ in(ordered_pair(U,Z),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).

cnf(38,negated_conjecture,
    relation('SKOLEMAAAV16'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t144_relat_1) ).

cnf(39,negated_conjecture,
    ~ subset(relation_image('SKOLEMAAAV16','SKOLEMAAAV15'),relation_rng('SKOLEMAAAV16')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t144_relat_1) ).

cnf(76,plain,
    in('SKOLEMAAAV4'(relation_image('SKOLEMAAAV16','SKOLEMAAAV15'),relation_rng('SKOLEMAAAV16')),relation_image('SKOLEMAAAV16','SKOLEMAAAV15')),
    inference('HYPERRESOLVE',[status(thm)],[39,10]) ).

cnf(77,plain,
    ~ in('SKOLEMAAAV4'(relation_image('SKOLEMAAAV16','SKOLEMAAAV15'),relation_rng('SKOLEMAAAV16')),relation_rng('SKOLEMAAAV16')),
    inference('UR-RESOLVE',[status(thm)],[11,39]) ).

cnf(569,plain,
    ~ in(ordered_pair(X,'SKOLEMAAAV4'(relation_image('SKOLEMAAAV16','SKOLEMAAAV15'),relation_rng('SKOLEMAAAV16'))),'SKOLEMAAAV16'),
    inference('UR-RESOLVE',[status(thm)],[13,77,38,theory(equality)]) ).

cnf(943,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,76,38,theory(equality)]),569]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU204+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 01:58:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-19T01:58:17
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T01:58:17
% 0.19/0.49  
% 0.19/0.49  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.55/0.72  ; Declaring unordered_pair to be commutative.
% 0.55/0.72  
% 0.55/0.72  #||
% 0.55/0.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.72  % SZS output start Refutation
% See solution above
% 0.55/0.73  ||#
% 0.55/0.73  
% 0.55/0.73  ; Summary of computation:
% 0.55/0.73  ;      2511 formulas have been input or derived (from 280 formulas).
% 0.55/0.73  ;       943 (38%) were retained.  Of these,
% 0.55/0.73  ;           32 ( 3%) were simplified or subsumed later,
% 0.55/0.73  ;          911 (97%) are still being kept.
% 0.55/0.73  ; 
% 0.55/0.73  ; Run time in seconds excluding printing time:
% 0.55/0.73  ;     0.006   2%   Read assertion file          (1 call)
% 0.55/0.73  ;     0.002   1%   Assert                       (40 calls)
% 0.55/0.73  ;     0.083  33%   Process new row              (2,230 calls)
% 0.55/0.73  ;     0.088  35%   Resolution                   (558 calls)
% 0.55/0.73  ;     0.005   2%   Paramodulation               (279 calls)
% 0.55/0.73  ;     0.000   0%   Factoring                    (9 calls)
% 0.55/0.73  ;     0.003   1%   Condensing                   (208 calls)
% 0.55/0.73  ;     0.000   0%   Forward subsumption          (208 calls)
% 0.55/0.73  ;     0.004   2%   Backward subsumption         (187 calls)
% 0.55/0.73  ;     0.001   0%   Clause clause subsumption    (132 calls)
% 0.55/0.73  ;     0.019   8%   Forward simplification       (2,198 calls)
% 0.55/0.73  ;     0.008   3%   Backward simplification      (943 calls)
% 0.55/0.73  ;     0.001   0%   Ordering                     (642 calls)
% 0.55/0.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.73  ;     0.001   0%   Purity testing               (1 call)
% 0.55/0.73  ;     0.032  13%   Other
% 0.55/0.73  ;     0.253        Total
% 0.55/0.73  ;     0.254        Real time
% 0.55/0.73  ; 
% 0.55/0.73  ; Term-hash-array has 1,615 terms in all.
% 0.55/0.73  ; Feature-vector-row-index has 184 entries (184 at peak, 187 added, 3 deleted).
% 0.55/0.73  ; Feature-vector-row-index has 1,020 nodes (1,020 at peak, 1,031 added, 11 deleted).
% 0.55/0.73  ;  Retrieved 143 possibly forward subsuming rows in 208 calls.
% 0.55/0.73  ;  Retrieved 12 possibly backward subsumed rows in 187 calls.
% 0.55/0.73  ; Path-index has 1,577 entries (1,577 at peak, 1,630 added, 53 deleted).
% 0.55/0.73  ; Path-index has 3,257 nodes (3,257 at peak, 3,303 added, 46 deleted).
% 0.55/0.73  ; Trie-index has 1,577 entries (1,577 at peak, 1,630 added, 53 deleted).
% 0.55/0.73  ; Trie-index has 5,551 nodes (5,551 at peak, 5,658 added, 107 deleted).
% 0.55/0.73  ; Retrieved 2,104 generalization terms in 3,808 calls.
% 0.55/0.73  ; Retrieved 793 instance terms in 755 calls.
% 0.55/0.73  ; Retrieved 71,079 unifiable terms in 10,320 calls.
% 0.55/0.73  ; 
% 0.55/0.73  ; The agenda of rows to process has 2 entries:
% 0.55/0.73  ;     2 with value 25
% 0.55/0.73  ; The agenda of rows to give has 637 entries:
% 0.55/0.73  ;     1 with value (4 8)          81 with value (4 18)           5 with value (4 25)
% 0.55/0.73  ;     2 with value (4 9)          89 with value (4 19)          13 with value (4 26)
% 0.55/0.73  ;     1 with value (4 10)         57 with value (4 20)          11 with value (4 27)
% 0.55/0.73  ;    74 with value (4 14)         34 with value (4 21)           3 with value (4 28)
% 0.55/0.73  ;    75 with value (4 15)         24 with value (4 22)           4 with value (4 30)
% 0.55/0.73  ;    61 with value (4 16)         22 with value (4 23)           2 with value (4 31)
% 0.55/0.73  ;    45 with value (4 17)         31 with value (4 24)           2 with value (4 32)
% 0.55/0.73  Evaluation took:
% 0.55/0.73    0.255 seconds of real time
% 0.55/0.73    0.232133 seconds of user run time
% 0.55/0.73    0.023035 seconds of system run time
% 0.55/0.73    [Run times include 0.012 seconds GC run time.]
% 0.55/0.73    0 calls to %EVAL
% 0.55/0.73    0 page faults and
% 0.55/0.73    15,605,672 bytes consed.
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T01:58:17
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  * 
%------------------------------------------------------------------------------