TSTP Solution File: SET629^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET629^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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  : 300s
% DateTime : Thu Aug 31 14:39:37 EDT 2023

% Result   : Theorem 0.16s 0.46s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET629^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat Aug 26 12:44:11 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.16/0.44  %----Proving TH0
% 0.16/0.46  %------------------------------------------------------------------------------
% 0.16/0.46  % File     : SET629^5 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.46  % Domain   : Set Theory
% 0.16/0.46  % Problem  : TPS problem BOOL-PROP-111
% 0.16/0.46  % Version  : Especial.
% 0.16/0.46  % English  : Trybulec's 111th Boolean property of sets
% 0.16/0.46  
% 0.16/0.46  % Refs     : [TS89]  Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.16/0.46  %          : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.46  % Source   : [Bro09]
% 0.16/0.46  % Names    : tps_0190 [Bro09]
% 0.16/0.46  %          : BOOL-PROP-111 [TPS]
% 0.16/0.46  
% 0.16/0.46  % Status   : Theorem
% 0.16/0.46  % Rating   : 0.09 v8.1.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.16/0.46  % Syntax   : Number of formulae    :    2 (   0 unt;   1 typ;   0 def)
% 0.16/0.46  %            Number of atoms       :    0 (   0 equ;   0 cnn)
% 0.16/0.46  %            Maximal formula atoms :    0 (   0 avg)
% 0.16/0.46  %            Number of connectives :    9 (   2   ~;   0   |;   3   &;   4   @)
% 0.16/0.46  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.16/0.46  %            Maximal formula depth :   10 (  10 avg)
% 0.16/0.46  %            Number of types       :    2 (   1 usr)
% 0.16/0.46  %            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
% 0.16/0.46  %            Number of symbols     :    0 (   0 usr;   0 con; --- aty)
% 0.16/0.46  %            Number of variables   :    3 (   0   ^;   2   !;   1   ?;   3   :)
% 0.16/0.46  % SPC      : TH0_THM_NEQ_NAR
% 0.16/0.46  
% 0.16/0.46  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.46  %            project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.46  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.46  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.46  %          : Polymorphic definitions expanded.
% 0.16/0.46  %------------------------------------------------------------------------------
% 0.16/0.46  thf(a_type,type,
% 0.16/0.46      a: $tType ).
% 0.16/0.46  
% 0.16/0.46  thf(cBOOL_PROP_111_pme,conjecture,
% 0.16/0.46      ! [X: a > $o,Y: a > $o] :
% 0.16/0.46        ~ ? [Xx: a] :
% 0.16/0.46            ( ( X @ Xx )
% 0.16/0.46            & ( Y @ Xx )
% 0.16/0.46            & ( X @ Xx )
% 0.16/0.46            & ~ ( Y @ Xx ) ) ).
% 0.16/0.46  
% 0.16/0.46  %------------------------------------------------------------------------------
% 0.16/0.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zoKNZIhWms/cvc5---1.0.5_16448.p...
% 0.16/0.46  (declare-sort $$unsorted 0)
% 0.16/0.46  (declare-sort tptp.a 0)
% 0.16/0.46  (assert (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool))) (not (exists ((Xx tptp.a)) (let ((_let_1 (@ Y Xx))) (let ((_let_2 (@ X Xx))) (and _let_2 _let_1 _let_2 (not _let_1)))))))))
% 0.16/0.46  (set-info :filename cvc5---1.0.5_16448)
% 0.16/0.46  (check-sat-assuming ( true ))
% 0.16/0.46  ------- get file name : TPTP file name is SET629^5
% 0.16/0.46  ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16448.smt2...
% 0.16/0.46  --- Run --ho-elim --full-saturate-quant at 10...
% 0.16/0.46  % SZS status Theorem for SET629^5
% 0.16/0.46  % SZS output start Proof for SET629^5
% 0.16/0.46  (
% 0.16/0.46  (let ((_let_1 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool))) (not (exists ((Xx tptp.a)) (let ((_let_1 (@ Y Xx))) (let ((_let_2 (@ X Xx))) (and _let_2 _let_1 _let_2 (not _let_1)))))))))) (SCOPE (SCOPE (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_1 true))))
% 0.16/0.46  )
% 0.16/0.46  % SZS output end Proof for SET629^5
% 0.16/0.46  % cvc5---1.0.5 exiting
% 0.16/0.46  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------