TSTP Solution File: SET081+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET081+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 05:07:01 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   1 nHn;   4 RR)
%            Number of literals    :    7 (   4 equ;   2 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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ member(X,unordered_pair(Y,Z))
    | X = Y
    | X = Z ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).

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('SKOLEMAAAU9',singleton('SKOLEMAAAU8')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

cnf(93,negated_conjecture,
    'SKOLEMAAAU9' != 'SKOLEMAAAU8',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

cnf(254,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,93,93]),92,12,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET081+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % 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 Jul 11 06:03:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:03:07
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-11T06:03:07
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  #||
% 0.19/0.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57  % SZS output start Refutation
% See solution above
% 0.19/0.57  ||#
% 0.19/0.57  
% 0.19/0.57  ; Summary of computation:
% 0.19/0.57  ;       345 formulas have been input or derived (from 66 formulas).
% 0.19/0.57  ;       254 (74%) were retained.  Of these,
% 0.19/0.57  ;           14 ( 6%) were simplified or subsumed later,
% 0.19/0.57  ;          240 (94%) are still being kept.
% 0.19/0.57  ; 
% 0.19/0.57  ; Run time in seconds excluding printing time:
% 0.19/0.57  ;     0.010  11%   Read assertion file          (1 call)
% 0.19/0.57  ;     0.003   3%   Assert                       (44 calls)
% 0.19/0.57  ;     0.026  27%   Process new row              (314 calls)
% 0.19/0.57  ;     0.010  11%   Resolution                   (130 calls)
% 0.19/0.57  ;     0.001   1%   Paramodulation               (65 calls)
% 0.19/0.57  ;     0.000   0%   Factoring                    (6 calls)
% 0.19/0.57  ;     0.002   2%   Condensing                   (204 calls)
% 0.19/0.57  ;     0.007   7%   Forward subsumption          (204 calls)
% 0.19/0.57  ;     0.003   3%   Backward subsumption         (185 calls)
% 0.19/0.57  ;     0.000   0%   Clause clause subsumption    (331 calls)
% 0.19/0.57  ;     0.007   7%   Forward simplification       (314 calls)
% 0.19/0.57  ;     0.000   0%   Backward simplification      (251 calls)
% 0.19/0.57  ;     0.000   0%   Ordering                     (208 calls)
% 0.19/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.57  ;     0.026  27%   Other
% 0.19/0.57  ;     0.095        Total
% 0.19/0.57  ;     0.096        Real time
% 0.19/0.57  ; 
% 0.19/0.57  ; Term-hash-array has 513 terms in all.
% 0.19/0.57  ; Feature-vector-row-index has 177 entries (177 at peak, 185 added, 8 deleted).
% 0.19/0.57  ; Feature-vector-row-index has 624 nodes (624 at peak, 639 added, 15 deleted).
% 0.19/0.57  ;  Retrieved 299 possibly forward subsuming rows in 204 calls.
% 0.19/0.57  ;  Retrieved 95 possibly backward subsumed rows in 185 calls.
% 0.19/0.57  ; Path-index has 502 entries (502 at peak, 526 added, 24 deleted).
% 0.19/0.57  ; Path-index has 1,187 nodes (1,187 at peak, 1,213 added, 26 deleted).
% 0.19/0.57  ; Trie-index has 502 entries (502 at peak, 526 added, 24 deleted).
% 0.19/0.57  ; Trie-index has 1,295 nodes (1,295 at peak, 1,359 added, 64 deleted).
% 0.19/0.57  ; Retrieved 121 generalization terms in 649 calls.
% 0.19/0.57  ; Retrieved 81 instance terms in 65 calls.
% 0.19/0.57  ; Retrieved 4,527 unifiable terms in 394 calls.
% 0.19/0.57  ; 
% 0.19/0.57  ; The agenda of rows to process has 5 entries:
% 0.19/0.57  ;     1 with value 8               1 with value 26               2 with value 28
% 0.19/0.57  ;     1 with value 15
% 0.19/0.57  ; The agenda of input rows to give has 25 entries:
% 0.19/0.57  ;     8 with value 15              1 with value 18               1 with value 22
% 0.19/0.57  ;     1 with value 16              1 with value 19               3 with value 25
% 0.19/0.57  ;     4 with value 17              4 with value 21               2 with value 35
% 0.19/0.57  ; The agenda of rows to give has 149 entries:
% 0.19/0.57  ;     1 with value (4 4)          13 with value (4 13)          14 with value (4 20)
% 0.19/0.57  ;     8 with value (4 5)          17 with value (4 14)           5 with value (4 21)
% 0.19/0.57  ;    10 with value (4 7)           7 with value (4 15)           7 with value (4 22)
% 0.19/0.57  ;     9 with value (4 8)           3 with value (4 16)           5 with value (4 23)
% 0.19/0.57  ;     3 with value (4 9)           2 with value (4 17)           1 with value (4 24)
% 0.19/0.57  ;     9 with value (4 10)          9 with value (4 18)           2 with value (4 25)
% 0.19/0.57  ;     6 with value (4 11)         11 with value (4 19)           2 with value (4 30)
% 0.19/0.57  ;     5 with value (4 12)
% 0.19/0.57  Evaluation took:
% 0.19/0.57    0.096 seconds of real time
% 0.19/0.57    0.087216 seconds of user run time
% 0.19/0.57    0.009356 seconds of system run time
% 0.19/0.57    0 calls to %EVAL
% 0.19/0.57    0 page faults and
% 0.19/0.57    4,696,840 bytes consed.
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:03:07
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  * 
%------------------------------------------------------------------------------