TSTP Solution File: SEU177+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU177+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 14:19:52 EDT 2022

% Result   : Theorem 1.04s 1.20s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   15 (   2 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(54,axiom,
    ( ~ relation(X)
    | Y != relation_dom(X)
    | in(Z,Y)
    | ~ in(ordered_pair(Z,U),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).

cnf(71,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(149,negated_conjecture,
    relation('SKOLEMAAAV37'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).

cnf(150,negated_conjecture,
    in(ordered_pair('SKOLEMAAAV35','SKOLEMAAAV36'),'SKOLEMAAAV37'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).

cnf(151,negated_conjecture,
    ( ~ in('SKOLEMAAAV35',relation_dom('SKOLEMAAAV37'))
    | ~ in('SKOLEMAAAV36',relation_rng('SKOLEMAAAV37')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).

cnf(1563,plain,
    in('SKOLEMAAAV35',relation_dom('SKOLEMAAAV37')),
    inference('HYPERRESOLVE',[status(thm)],[54,149,150,theory(equality)]) ).

cnf(1564,plain,
    ~ in('SKOLEMAAAV36',relation_rng('SKOLEMAAAV37')),
    inference('REWRITE',[status(thm)],[151,1563]) ).

cnf(1734,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[71,149,1564,150,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU177+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n019.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 14:19:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T14:19:24
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-20T14:19:24
% 0.19/0.50  
% 0.19/0.50  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.50  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.51  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.51  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.51  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.51  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.51  ; Declaring unordered_pair to be commutative.
% 0.19/0.51  ; Declaring set_union2 to be commutative.
% 0.19/0.51  ; Declaring set_intersection2 to be commutative.
% 0.19/0.51  WARNING:
% 0.19/0.51     |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.04/1.20  ; Declaring disjoint to be commutative.
% 1.04/1.20  
% 1.04/1.20  #||
% 1.04/1.20  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.20  % SZS output start Refutation
% See solution above
% 1.04/1.20  ||#
% 1.04/1.20  
% 1.04/1.20  ; Summary of computation:
% 1.04/1.20  ;      6608 formulas have been input or derived (from 159 formulas).
% 1.04/1.20  ;      1734 (26%) were retained.  Of these,
% 1.04/1.20  ;           46 ( 3%) were simplified or subsumed later,
% 1.04/1.20  ;         1688 (97%) are still being kept.
% 1.04/1.20  ; 
% 1.04/1.20  ; Run time in seconds:
% 1.04/1.20  ;     0.029   4%   Read assertion file          (1 call)
% 1.04/1.20  ;     0.007   1%   Assert                       (142 calls)
% 1.04/1.20  ;     0.149  20%   Process new row              (6,201 calls)
% 1.04/1.20  ;     0.153  21%   Resolution                   (316 calls)
% 1.04/1.20  ;     0.009   1%   Paramodulation               (158 calls)
% 1.04/1.20  ;     0.000   0%   Factoring                    (13 calls)
% 1.04/1.20  ;     0.052   7%   Condensing                   (3,665 calls)
% 1.04/1.20  ;     0.094  13%   Forward subsumption          (3,665 calls)
% 1.04/1.20  ;     0.026   4%   Backward subsumption         (1,386 calls)
% 1.04/1.20  ;     0.024   3%   Clause clause subsumption    (6,315 calls)
% 1.04/1.20  ;     0.127  17%   Forward simplification       (6,197 calls)
% 1.04/1.20  ;     0.003   0%   Backward simplification      (1,728 calls)
% 1.04/1.20  ;     0.019   3%   Ordering                     (6,129 calls)
% 1.04/1.20  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.04/1.20  ;     0.001   0%   Purity testing               (1 call)
% 1.04/1.20  ;     0.047   6%   Other
% 1.04/1.20  ;     0.740        Total
% 1.04/1.20  ;     0.740        Real time
% 1.04/1.20  ; 
% 1.04/1.20  ; Term-hash-array has 3,506 terms in all.
% 1.04/1.20  ; Feature-vector-row-index has 1,368 entries (1,368 at peak, 1,386 added, 18 deleted).
% 1.04/1.20  ; Feature-vector-row-index has 4,570 nodes (4,570 at peak, 4,659 added, 89 deleted).
% 1.04/1.20  ;  Retrieved 12,487 possibly forward subsuming rows in 3,665 calls.
% 1.04/1.20  ;  Retrieved 736 possibly backward subsumed rows in 1,386 calls.
% 1.04/1.20  ; Path-index has 3,474 entries (3,474 at peak, 3,520 added, 46 deleted).
% 1.04/1.20  ; Path-index has 7,127 nodes (7,127 at peak, 7,176 added, 49 deleted).
% 1.04/1.20  ; Trie-index has 3,474 entries (3,474 at peak, 3,520 added, 46 deleted).
% 1.04/1.20  ; Trie-index has 10,153 nodes (10,153 at peak, 10,291 added, 138 deleted).
% 1.04/1.20  ; Retrieved 16,772 generalization terms in 31,491 calls.
% 1.04/1.20  ; Retrieved 446 instance terms in 342 calls.
% 1.04/1.20  ; Retrieved 216,424 unifiable terms in 2,932 calls.
% 1.04/1.20  ; 
% 1.04/1.20  ; The agenda of rows to process has 37 entries:
% 1.04/1.20  ;     1 with value 4               4 with value 11               4 with value 20
% 1.04/1.20  ;     1 with value 7               2 with value 16               2 with value 21
% 1.04/1.20  ;     2 with value 8               2 with value 18               4 with value 22
% 1.04/1.20  ;     1 with value 9               6 with value 19               4 with value 23
% 1.04/1.20  ;     4 with value 10
% 1.04/1.20  ; The agenda of input rows to give has 45 entries:
% 1.04/1.20  ;     3 with value 21              6 with value 26               1 with value 33
% 1.04/1.20  ;     4 with value 22              2 with value 27               1 with value 34
% 1.04/1.20  ;    12 with value 23              3 with value 28               2 with value 40
% 1.04/1.20  ;     2 with value 24              3 with value 31               2 with value 42
% 1.04/1.20  ;     2 with value 25              2 with value 32
% 1.04/1.20  ; The agenda of rows to give has 1490 entries:
% 1.04/1.20  ;     1 with value (4 4)          52 with value (4 22)          18 with value (4 40)
% 1.04/1.20  ;     9 with value (4 5)          49 with value (4 23)          19 with value (4 41)
% 1.04/1.20  ;     4 with value (4 6)          35 with value (4 24)          14 with value (4 42)
% 1.04/1.20  ;    22 with value (4 7)          57 with value (4 25)          10 with value (4 43)
% 1.04/1.20  ;    38 with value (4 8)          45 with value (4 26)           6 with value (4 44)
% 1.04/1.20  ;    28 with value (4 9)          29 with value (4 27)           1 with value (4 45)
% 1.04/1.20  ;    42 with value (4 10)         68 with value (4 28)           1 with value (4 46)
% 1.04/1.20  ;    41 with value (4 11)         45 with value (4 29)           4 with value (4 47)
% 1.04/1.20  ;    48 with value (4 12)         63 with value (4 30)           2 with value (4 48)
% 1.04/1.20  ;    46 with value (4 13)         48 with value (4 31)           5 with value (4 49)
% 1.04/1.20  ;    43 with value (4 14)         43 with value (4 32)           6 with value (4 50)
% 1.04/1.20  ;    49 with value (4 15)         32 with value (4 33)           4 with value (4 51)
% 1.04/1.20  ;    43 with value (4 16)         20 with value (4 34)           6 with value (4 52)
% 1.04/1.20  ;    46 with value (4 17)         23 with value (4 35)           2 with value (4 53)
% 1.04/1.20  ;    56 with value (4 18)          9 with value (4 36)           2 with value (4 54)
% 1.04/1.20  ;    65 with value (4 19)         26 with value (4 37)           2 with value (4 56)
% 1.04/1.20  ;    65 with value (4 20)         14 with value (4 38)           1 with value (4 57)
% 1.04/1.20  ;    63 with value (4 21)         19 with value (4 39)           1 with value (4 58)
% 1.04/1.20  Evaluation took:
% 1.04/1.20    0.741 seconds of real time
% 1.04/1.20    0.672312 seconds of user run time
% 1.04/1.20    0.068689 seconds of system run time
% 1.04/1.20    [Run times include 0.037 seconds GC run time.]
% 1.04/1.20    0 calls to %EVAL
% 1.04/1.20    0 page faults and
% 1.04/1.20    56,954,992 bytes consed.
% 1.04/1.20  :PROOF-FOUND
% 1.04/1.20  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T14:19:25
% 1.04/1.20  :PROOF-FOUND
% 1.04/1.20  * 
%------------------------------------------------------------------------------