TSTP Solution File: SET077+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 05:06:58 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   2 RR)
%            Number of literals    :    5 (   1 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).

cnf(12,axiom,
    singleton(X) = unordered_pair(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).

cnf(92,negated_conjecture,
    ~ member(singleton('SKOLEMAAAV8'),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).

cnf(97,plain,
    member(singleton(X),universal_class),
    inference('PARAMODULATE',[status(thm)],[11,12,theory(equality)]) ).

cnf(98,plain,
    $false,
    inference('REWRITE',[status(thm)],[92,97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 00:31:53 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T00:31:53
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T00:31:53
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  #||
% 0.20/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55  % SZS output start Refutation
% See solution above
% 0.20/0.55  ||#
% 0.20/0.55  
% 0.20/0.55  ; Summary of computation:
% 0.20/0.55  ;       107 formulas have been input or derived (from 14 formulas).
% 0.20/0.55  ;        98 (92%) were retained.  Of these,
% 0.20/0.55  ;            5 ( 5%) were simplified or subsumed later,
% 0.20/0.55  ;           93 (95%) are still being kept.
% 0.20/0.55  ; 
% 0.20/0.55  ; Run time in seconds:
% 0.20/0.55  ;     0.010  20%   Read assertion file          (1 call)
% 0.20/0.55  ;     0.003   6%   Assert                       (44 calls)
% 0.20/0.55  ;     0.010  20%   Process new row              (96 calls)
% 0.20/0.55  ;     0.001   2%   Resolution                   (26 calls)
% 0.20/0.55  ;     0.001   2%   Paramodulation               (13 calls)
% 0.20/0.55  ;     0.001   2%   Condensing                   (70 calls)
% 0.20/0.55  ;     0.001   2%   Forward subsumption          (70 calls)
% 0.20/0.55  ;     0.001   2%   Backward subsumption         (69 calls)
% 0.20/0.55  ;     0.000   0%   Clause clause subsumption    (24 calls)
% 0.20/0.55  ;     0.001   2%   Forward simplification       (96 calls)
% 0.20/0.55  ;     0.000   0%   Backward simplification      (95 calls)
% 0.20/0.55  ;     0.000   0%   Ordering                     (23 calls)
% 0.20/0.55  ;     0.002   4%   Sortal reasoning             (32 calls)
% 0.20/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.55  ;     0.020  39%   Other
% 0.20/0.55  ;     0.051        Total
% 0.20/0.55  ;     0.052        Real time
% 0.20/0.55  ; 
% 0.20/0.55  ; Term-hash-array has 156 terms in all.
% 0.20/0.55  ; Feature-vector-row-index has 69 entries (69 at peak, 69 added, 0 deleted).
% 0.20/0.55  ; Feature-vector-row-index has 242 nodes (242 at peak, 242 added, 0 deleted).
% 0.20/0.55  ;  Retrieved 18 possibly forward subsuming rows in 70 calls.
% 0.20/0.55  ;  Retrieved 18 possibly backward subsumed rows in 69 calls.
% 0.20/0.55  ; Path-index has 160 entries (163 at peak, 164 added, 4 deleted).
% 0.20/0.55  ; Path-index has 479 nodes (482 at peak, 483 added, 4 deleted).
% 0.20/0.55  ; Trie-index has 160 entries (163 at peak, 164 added, 4 deleted).
% 0.20/0.55  ; Trie-index has 408 nodes (412 at peak, 413 added, 5 deleted).
% 0.20/0.55  ; Retrieved 6 generalization terms in 142 calls.
% 0.20/0.55  ; Retrieved 41 instance terms in 25 calls.
% 0.20/0.55  ; Retrieved 238 unifiable terms in 62 calls.
% 0.20/0.55  ; 
% 0.20/0.55  ; The agenda of rows to process has 5 entries:
% 0.20/0.55  ;     1 with value 8               4 with value 9
% 0.20/0.55  ; The agenda of input rows to give has 76 entries:
% 0.20/0.55  ;     2 with value 9               6 with value 14               1 with value 19
% 0.20/0.55  ;    14 with value 10              9 with value 15               4 with value 21
% 0.20/0.55  ;    15 with value 11              1 with value 16               1 with value 22
% 0.20/0.55  ;     5 with value 12              4 with value 17               3 with value 25
% 0.20/0.55  ;     8 with value 13              1 with value 18               2 with value 35
% 0.20/0.55  ; The agenda of rows to give has 4 entries:
% 0.20/0.55  ;     1 with value (4 4)           2 with value (4 5)            1 with value (4 7)
% 0.20/0.55  Evaluation took:
% 0.20/0.55    0.052 seconds of real time
% 0.20/0.55    0.0465 seconds of user run time
% 0.20/0.55    0.006135 seconds of system run time
% 0.20/0.55    0 calls to %EVAL
% 0.20/0.55    0 page faults and
% 0.20/0.55    2,571,080 bytes consed.
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T00:31:53
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  * 
%------------------------------------------------------------------------------