TSTP Solution File: SEU193+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU193+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 14:20:00 EDT 2022

% Result   : Theorem 1.39s 1.58s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   1 nHn;   9 RR)
%            Number of literals    :   22 (   1 equ;  13 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ relation(X)
    | ~ relation(Y)
    | Y != relation_dom_restriction(X,Z)
    | ~ in(ordered_pair(U,V),Y)
    | in(ordered_pair(U,V),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).

cnf(10,axiom,
    ( ~ relation(X)
    | ~ relation(Y)
    | subset(X,Y)
    | in(ordered_pair('SKOLEMAAAV3'(X,Y),'SKOLEMAAAV4'(X,Y)),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_relat_1) ).

cnf(11,axiom,
    ( ~ relation(X)
    | ~ relation(Y)
    | subset(X,Y)
    | ~ in(ordered_pair('SKOLEMAAAV3'(X,Y),'SKOLEMAAAV4'(X,Y)),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_relat_1) ).

cnf(13,axiom,
    ( ~ relation(X)
    | relation(relation_dom_restriction(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

cnf(40,negated_conjecture,
    relation('SKOLEMAAAV13'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_relat_1) ).

cnf(41,negated_conjecture,
    ~ subset(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV13'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_relat_1) ).

cnf(56,plain,
    relation(relation_dom_restriction('SKOLEMAAAV13',X)),
    inference('HYPERRESOLVE',[status(thm)],[13,40]) ).

cnf(116,plain,
    ~ in(ordered_pair('SKOLEMAAAV3'(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV13'),'SKOLEMAAAV4'(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV13')),'SKOLEMAAAV13'),
    inference('UR-RESOLVE',[status(thm)],[11,56,40,41]) ).

cnf(117,plain,
    in(ordered_pair('SKOLEMAAAV3'(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV13'),'SKOLEMAAAV4'(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV13')),relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')),
    inference('UR-RESOLVE',[status(thm)],[10,56,40,41]) ).

cnf(3159,plain,
    ~ in(ordered_pair('SKOLEMAAAV3'(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV13'),'SKOLEMAAAV4'(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV13')),relation_dom_restriction('SKOLEMAAAV13',X)),
    inference('UR-RESOLVE',[status(thm)],[4,116,40,56,theory(equality)]) ).

cnf(3160,plain,
    $false,
    inference('REWRITE',[status(thm)],[117,3159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU193+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n025.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 : Mon Jun 20 04:52:59 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T04:52:59
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-20T04:52:59
% 0.21/0.49  
% 0.21/0.50  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 1.39/1.58  ; Declaring unordered_pair to be commutative.
% 1.39/1.58  
% 1.39/1.58  #||
% 1.39/1.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.39/1.58  % SZS output start Refutation
% See solution above
% 1.39/1.58  ||#
% 1.39/1.58  
% 1.39/1.58  ; Summary of computation:
% 1.39/1.58  ;      5507 formulas have been input or derived (from 667 formulas).
% 1.39/1.58  ;      3160 (57%) were retained.  Of these,
% 1.39/1.58  ;           46 ( 1%) were simplified or subsumed later,
% 1.39/1.58  ;         3114 (99%) are still being kept.
% 1.39/1.58  ; 
% 1.39/1.58  ; Run time in seconds excluding printing time:
% 1.39/1.58  ;     0.006   1%   Read assertion file          (1 call)
% 1.39/1.58  ;     0.001   0%   Assert                       (36 calls)
% 1.39/1.58  ;     0.262  24%   Process new row              (4,859 calls)
% 1.39/1.58  ;     0.621  57%   Resolution                   (1,332 calls)
% 1.39/1.58  ;     0.017   2%   Paramodulation               (666 calls)
% 1.39/1.58  ;     0.000   0%   Factoring                    (14 calls)
% 1.39/1.58  ;     0.009   1%   Condensing                   (372 calls)
% 1.39/1.58  ;     0.019   2%   Forward subsumption          (372 calls)
% 1.39/1.58  ;     0.011   1%   Backward subsumption         (330 calls)
% 1.39/1.58  ;     0.001   0%   Clause clause subsumption    (400 calls)
% 1.39/1.58  ;     0.063   6%   Forward simplification       (4,766 calls)
% 1.39/1.58  ;     0.028   3%   Backward simplification      (3,160 calls)
% 1.39/1.58  ;     0.010   1%   Ordering                     (1,187 calls)
% 1.39/1.58  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.39/1.58  ;     0.000   0%   Purity testing               (1 call)
% 1.39/1.58  ;     0.050   5%   Other
% 1.39/1.58  ;     1.099        Total
% 1.39/1.58  ;     1.101        Real time
% 1.39/1.58  ; 
% 1.39/1.58  ; Term-hash-array has 5,331 terms in all.
% 1.39/1.58  ; Feature-vector-row-index has 314 entries (314 at peak, 330 added, 16 deleted).
% 1.39/1.58  ; Feature-vector-row-index has 2,723 nodes (2,723 at peak, 2,906 added, 183 deleted).
% 1.39/1.58  ;  Retrieved 365 possibly forward subsuming rows in 372 calls.
% 1.39/1.58  ;  Retrieved 44 possibly backward subsumed rows in 330 calls.
% 1.39/1.58  ; Path-index has 5,283 entries (5,284 at peak, 5,406 added, 123 deleted).
% 1.39/1.58  ; Path-index has 4,778 nodes (4,779 at peak, 4,826 added, 48 deleted).
% 1.39/1.58  ; Trie-index has 5,283 entries (5,284 at peak, 5,406 added, 123 deleted).
% 1.39/1.58  ; Trie-index has 19,723 nodes (19,724 at peak, 20,101 added, 378 deleted).
% 1.39/1.58  ; Retrieved 3,918 generalization terms in 12,409 calls.
% 1.39/1.58  ; Retrieved 3,153 instance terms in 2,829 calls.
% 1.39/1.58  ; Retrieved 551,534 unifiable terms in 87,531 calls.
% 1.39/1.58  ; 
% 1.39/1.58  ; The agenda of rows to process has 7 entries:
% 1.39/1.58  ;     1 with value 23              2 with value 27               2 with value 30
% 1.39/1.58  ;     2 with value 25
% 1.39/1.58  ; The agenda of rows to give has 2456 entries:
% 1.39/1.58  ;   162 with value (4 19)          4 with value (4 37)           4 with value (4 66)
% 1.39/1.58  ;   144 with value (4 20)         10 with value (4 39)           4 with value (4 67)
% 1.39/1.58  ;   220 with value (4 21)          2 with value (4 41)           8 with value (4 68)
% 1.39/1.58  ;   262 with value (4 22)          4 with value (4 42)           4 with value (4 71)
% 1.39/1.58  ;   284 with value (4 23)          8 with value (4 43)           4 with value (4 74)
% 1.39/1.58  ;   308 with value (4 24)          6 with value (4 44)           4 with value (4 76)
% 1.39/1.58  ;   254 with value (4 25)          4 with value (4 45)           8 with value (4 79)
% 1.39/1.58  ;   252 with value (4 26)          6 with value (4 50)           4 with value (4 80)
% 1.39/1.58  ;   175 with value (4 27)          8 with value (4 51)           4 with value (4 83)
% 1.39/1.58  ;   164 with value (4 28)         14 with value (4 52)           4 with value (4 84)
% 1.39/1.58  ;    10 with value (4 29)          4 with value (4 54)           4 with value (4 86)
% 1.39/1.58  ;     8 with value (4 30)          2 with value (4 55)           4 with value (4 87)
% 1.39/1.58  ;     2 with value (4 31)          4 with value (4 56)           4 with value (4 92)
% 1.39/1.58  ;     5 with value (4 32)          4 with value (4 57)           4 with value (4 95)
% 1.39/1.58  ;     8 with value (4 33)          4 with value (4 60)           8 with value (4 96)
% 1.39/1.58  ;     4 with value (4 34)          4 with value (4 62)           4 with value (4 107)
% 1.39/1.58  ;     8 with value (4 35)          8 with value (4 64)           4 with value (4 108)
% 1.39/1.58  ;     2 with value (4 36)          4 with value (4 65)           4 with value (4 120)
% 1.39/1.58  Evaluation took:
% 1.39/1.58    1.102 seconds of real time
% 1.39/1.58    1.056491 seconds of user run time
% 1.39/1.58    0.045072 seconds of system run time
% 1.39/1.58    [Run times include 0.091 seconds GC run time.]
% 1.39/1.58    0 calls to %EVAL
% 1.39/1.58    0 page faults and
% 1.39/1.58    83,193,624 bytes consed.
% 1.39/1.58  :PROOF-FOUND
% 1.39/1.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T04:53:00
% 1.39/1.58  :PROOF-FOUND
% 1.39/1.58  * 
%------------------------------------------------------------------------------