TSTP Solution File: SEU294+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU294+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:21:00 EDT 2022

% Result   : Theorem 0.76s 0.96s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ( ~ finite(X)
    | ~ element(Y,powerset(X))
    | finite(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

cnf(1154,negated_conjecture,
    subset('SKOLEMAAAV232','SKOLEMAAAV233'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(1155,negated_conjecture,
    finite('SKOLEMAAAV233'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(1156,negated_conjecture,
    ~ finite('SKOLEMAAAV232'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(1266,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

cnf(1738,plain,
    element('SKOLEMAAAV232',powerset('SKOLEMAAAV233')),
    inference('HYPERRESOLVE',[status(thm)],[1266,1154]) ).

cnf(1965,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,1155,1156]),1738]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU294+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 20 12:41:18 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 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 2022-06-20T12:41:18
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-20T12:41:18
% 0.19/0.56  
% 0.19/0.56  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.56  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.58  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.58  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.58  ; Recognized commutativity assertion (OR (NOT (|equipotent| ?X ?Y)) (|equipotent| ?Y ?X)).
% 0.19/0.58  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.59  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.59  ; Declaring unordered_pair to be commutative.
% 0.19/0.59  ; Declaring set_union2 to be commutative.
% 0.19/0.59  ; Declaring set_intersection2 to be commutative.
% 0.19/0.59  ; Declaring disjoint to be commutative.
% 0.42/0.59  WARNING:
% 0.42/0.59     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.96  ; Declaring equipotent to be commutative.
% 0.76/0.96  
% 0.76/0.96  #||
% 0.76/0.96  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.96  % SZS output start Refutation
% See solution above
% 0.76/0.96  ||#
% 0.76/0.96  
% 0.76/0.96  ; Summary of computation:
% 0.76/0.96  ;      2932 formulas have been input or derived (from 246 formulas).
% 0.76/0.96  ;      1965 (67%) were retained.  Of these,
% 0.76/0.96  ;          102 ( 5%) were simplified or subsumed later,
% 0.76/0.96  ;         1863 (95%) are still being kept.
% 0.76/0.96  ; 
% 0.76/0.96  ; Run time in seconds:
% 0.76/0.96  ;     0.093  18%   Read assertion file          (1 call)
% 0.76/0.96  ;     0.022   4%   Assert                       (395 calls)
% 0.76/0.96  ;     0.109  22%   Process new row              (2,825 calls)
% 0.76/0.96  ;     0.046   9%   Resolution                   (490 calls)
% 0.76/0.96  ;     0.014   3%   Paramodulation               (245 calls)
% 0.76/0.96  ;     0.000   0%   Factoring                    (15 calls)
% 0.76/0.96  ;     0.022   4%   Condensing                   (1,485 calls)
% 0.76/0.96  ;     0.049  10%   Forward subsumption          (1,485 calls)
% 0.76/0.96  ;     0.036   7%   Backward subsumption         (1,439 calls)
% 0.76/0.96  ;     0.035   7%   Clause clause subsumption    (952 calls)
% 0.76/0.96  ;     0.038   8%   Forward simplification       (2,815 calls)
% 0.76/0.96  ;     0.007   1%   Backward simplification      (1,950 calls)
% 0.76/0.96  ;     0.000   0%   Ordering                     (636 calls)
% 0.76/0.96  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.76/0.96  ;     0.004   1%   Purity testing               (1 call)
% 0.76/0.96  ;     0.031   6%   Other
% 0.76/0.96  ;     0.506        Total
% 0.76/0.96  ;     0.507        Real time
% 0.76/0.96  ; 
% 0.76/0.96  ; Term-hash-array has 2,462 terms in all.
% 0.76/0.96  ; Feature-vector-row-index has 1,416 entries (1,416 at peak, 1,439 added, 23 deleted).
% 0.76/0.96  ; Feature-vector-row-index has 5,895 nodes (5,895 at peak, 5,951 added, 56 deleted).
% 0.76/0.96  ;  Retrieved 1,625 possibly forward subsuming rows in 1,485 calls.
% 0.76/0.96  ;  Retrieved 843 possibly backward subsumed rows in 1,439 calls.
% 0.76/0.96  ; Path-index has 2,401 entries (2,401 at peak, 2,488 added, 87 deleted).
% 0.76/0.96  ; Path-index has 7,227 nodes (7,227 at peak, 7,312 added, 85 deleted).
% 0.76/0.96  ; Trie-index has 2,401 entries (2,401 at peak, 2,488 added, 87 deleted).
% 0.76/0.96  ; Trie-index has 6,389 nodes (6,389 at peak, 6,539 added, 150 deleted).
% 0.76/0.96  ; Retrieved 1,596 generalization terms in 5,627 calls.
% 0.76/0.96  ; Retrieved 609 instance terms in 510 calls.
% 0.76/0.96  ; Retrieved 56,412 unifiable terms in 2,203 calls.
% 0.76/0.96  ; 
% 0.76/0.96  ; The agenda of rows to process has 13 entries:
% 0.76/0.96  ;     1 with value 7               5 with value 9                2 with value 16
% 0.76/0.96  ;     4 with value 8               1 with value 13
% 0.76/0.96  ; The agenda of input rows to give has 1123 entries:
% 0.76/0.96  ;    55 with value 12             30 with value 32              12 with value 51
% 0.76/0.96  ;    41 with value 13             12 with value 33               5 with value 52
% 0.76/0.96  ;    53 with value 14             33 with value 34               4 with value 53
% 0.76/0.96  ;    15 with value 15             14 with value 35               9 with value 54
% 0.76/0.96  ;    49 with value 16             17 with value 36               4 with value 55
% 0.76/0.96  ;    30 with value 17             24 with value 37               3 with value 56
% 0.76/0.96  ;    29 with value 18             11 with value 38               5 with value 57
% 0.76/0.96  ;    28 with value 19             21 with value 39               9 with value 59
% 0.76/0.96  ;    30 with value 20             29 with value 40               1 with value 60
% 0.76/0.96  ;    39 with value 21             15 with value 41               9 with value 61
% 0.76/0.96  ;    42 with value 22             30 with value 42               9 with value 62
% 0.76/0.96  ;    52 with value 23             19 with value 43               9 with value 64
% 0.76/0.96  ;    39 with value 24             13 with value 44               2 with value 66
% 0.76/0.96  ;    35 with value 25             18 with value 45               3 with value 67
% 0.76/0.96  ;    36 with value 26             12 with value 46               1 with value 68
% 0.76/0.96  ;    21 with value 27             18 with value 47               4 with value 69
% 0.76/0.96  ;    32 with value 28             10 with value 48               2 with value 70
% 0.76/0.96  ;    17 with value 29              8 with value 49               2 with value 72
% 0.76/0.96  ;    21 with value 30              6 with value 50               1 with value 85
% 0.76/0.96  ;    25 with value 31
% 0.76/0.96  ; The agenda of rows to give has 522 entries:
% 0.76/0.96  ;     2 with value (4 4)          72 with value (4 9)           21 with value (4 14)
% 0.76/0.96  ;    20 with value (4 5)          48 with value (4 10)          14 with value (4 15)
% 0.76/0.96  ;    85 with value (4 6)          56 with value (4 11)          10 with value (4 16)
% 0.76/0.96  ;    59 with value (4 7)          41 with value (4 12)           2 with value (4 17)
% 0.76/0.96  ;    55 with value (4 8)          33 with value (4 13)           4 with value (4 18)
% 0.76/0.96  Evaluation took:
% 0.76/0.96    0.508 seconds of real time
% 0.76/0.96    0.472654 seconds of user run time
% 0.76/0.96    0.034806 seconds of system run time
% 0.76/0.96    [Run times include 0.026 seconds GC run time.]
% 0.76/0.96    0 calls to %EVAL
% 0.76/0.96    0 page faults and
% 0.76/0.96    38,390,576 bytes consed.
% 0.76/0.96  :PROOF-FOUND
% 0.76/0.96  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T12:41:18
% 0.76/0.96  :PROOF-FOUND
% 0.76/0.96  * 
%------------------------------------------------------------------------------