TSTP Solution File: SEU126+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 14:19:18 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (   2 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X = Y
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

cnf(27,axiom,
    subset(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

cnf(28,negated_conjecture,
    subset('SKOLEMAAAV7','SKOLEMAAAV8'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).

cnf(29,negated_conjecture,
    set_union2('SKOLEMAAAV7','SKOLEMAAAV8') != 'SKOLEMAAAV8',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).

cnf(41,axiom,
    subset(X,set_union2(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).

cnf(43,axiom,
    ( ~ subset(X,Y)
    | ~ subset(Z,Y)
    | subset(set_union2(X,Z),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).

cnf(52,plain,
    ~ subset(set_union2('SKOLEMAAAV7','SKOLEMAAAV8'),'SKOLEMAAAV8'),
    inference('UR-RESOLVE',[status(thm)],[3,29,41]) ).

cnf(83,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[43,28,27]),52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 10:29:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T10:29:53
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-20T10:29:53
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.50  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.50  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.50  ; Declaring set_union2 to be commutative.
% 0.20/0.50  ; Declaring set_intersection2 to be commutative.
% 0.20/0.54  ; Declaring disjoint to be commutative.
% 0.20/0.54  
% 0.20/0.54  #||
% 0.20/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       272 formulas have been input or derived (from 36 formulas).
% 0.20/0.54  ;        83 (31%) were retained.  Of these,
% 0.20/0.54  ;            3 ( 4%) were simplified or subsumed later,
% 0.20/0.54  ;           80 (96%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.006  10%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.002   3%   Assert                       (33 calls)
% 0.20/0.54  ;     0.006  10%   Process new row              (214 calls)
% 0.20/0.54  ;     0.006  10%   Resolution                   (70 calls)
% 0.20/0.54  ;     0.002   3%   Paramodulation               (35 calls)
% 0.20/0.54  ;     0.000   0%   Factoring                    (5 calls)
% 0.20/0.54  ;     0.000   0%   Condensing                   (114 calls)
% 0.20/0.54  ;     0.003   5%   Forward subsumption          (114 calls)
% 0.20/0.54  ;     0.001   2%   Backward subsumption         (63 calls)
% 0.20/0.54  ;     0.001   2%   Clause clause subsumption    (135 calls)
% 0.20/0.54  ;     0.005   9%   Forward simplification       (213 calls)
% 0.20/0.54  ;     0.001   2%   Backward simplification      (83 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (110 calls)
% 0.20/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.54  ;     0.024  41%   Other
% 0.20/0.54  ;     0.058        Total
% 0.20/0.54  ;     0.059        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 135 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 62 entries (62 at peak, 63 added, 1 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 139 nodes (139 at peak, 139 added, 0 deleted).
% 0.20/0.54  ;  Retrieved 188 possibly forward subsuming rows in 114 calls.
% 0.20/0.54  ;  Retrieved 42 possibly backward subsumed rows in 63 calls.
% 0.20/0.54  ; Path-index has 136 entries (136 at peak, 140 added, 4 deleted).
% 0.20/0.54  ; Path-index has 177 nodes (177 at peak, 178 added, 1 deleted).
% 0.20/0.54  ; Trie-index has 136 entries (136 at peak, 140 added, 4 deleted).
% 0.20/0.54  ; Trie-index has 257 nodes (257 at peak, 259 added, 2 deleted).
% 0.20/0.54  ; Retrieved 198 generalization terms in 390 calls.
% 0.20/0.54  ; Retrieved 26 instance terms in 19 calls.
% 0.20/0.54  ; Retrieved 2,854 unifiable terms in 319 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 37 entries:
% 0.20/0.54  ;    16 with value 8               4 with value 13               2 with value 20
% 0.20/0.54  ;     8 with value 10              6 with value 15               1 with value 22
% 0.20/0.54  ; The agenda of input rows to give has 8 entries:
% 0.20/0.54  ;     2 with value 19              4 with value 23               2 with value 31
% 0.20/0.54  ; The agenda of rows to give has 37 entries:
% 0.20/0.54  ;     3 with value (4 5)           9 with value (4 12)           3 with value (4 18)
% 0.20/0.54  ;     1 with value (4 7)           2 with value (4 13)           4 with value (4 19)
% 0.20/0.54  ;     2 with value (4 8)           2 with value (4 14)           1 with value (4 20)
% 0.20/0.54  ;     2 with value (4 9)           1 with value (4 15)           1 with value (4 22)
% 0.20/0.54  ;     2 with value (4 11)          3 with value (4 17)           1 with value (4 24)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.06 seconds of real time
% 0.20/0.54    0.054045 seconds of user run time
% 0.20/0.54    0.005995 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    3,103,584 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T10:29:53
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------