TSTP Solution File: SEV281^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV281^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 19:22:06 EDT 2023

% Result   : Timeout 299.98s 300.14s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEV281^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Aug 24 03:01:02 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TH0
% 0.22/0.50  %------------------------------------------------------------------------------
% 0.22/0.50  % File     : SEV281^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.50  % Domain   : Set Theory (Sets of sets)
% 0.22/0.50  % Problem  : TPS problem from WELL-ORD-THMS
% 0.22/0.50  % Version  : Especial.
% 0.22/0.50  % English  :
% 0.22/0.50  
% 0.22/0.50  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.50  % Source   : [Bro09]
% 0.22/0.50  % Names    : tps_1151 [Bro09]
% 0.22/0.50  
% 0.22/0.50  % Status   : Unknown
% 0.22/0.50  % Rating   : 1.00 v4.0.0
% 0.22/0.50  % Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
% 0.22/0.50  %            Number of atoms       :   12 (   2 equ;   0 cnn)
% 0.22/0.50  %            Maximal formula atoms :   12 (  12 avg)
% 0.22/0.50  %            Number of connectives :   63 (   0   ~;   2   |;  12   &;  37   @)
% 0.22/0.50  %                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
% 0.22/0.50  %            Maximal formula depth :   16 (  16 avg)
% 0.22/0.50  %            Number of types       :    2 (   1 usr)
% 0.22/0.50  %            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
% 0.22/0.50  %            Number of symbols     :    2 (   1 usr;   0 con; 2-2 aty)
% 0.22/0.50  %            Number of variables   :   21 (   0   ^;  17   !;   4   ?;  21   :)
% 0.22/0.50  % SPC      : TH0_UNK_EQU_NAR
% 0.22/0.50  
% 0.22/0.50  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.50  %            project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.50  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.50  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.50  %------------------------------------------------------------------------------
% 0.22/0.50  thf(a_type,type,
% 0.22/0.50      a: $tType ).
% 0.22/0.50  
% 0.22/0.50  thf(cR,type,
% 0.22/0.50      cR: a > a > $o ).
% 0.22/0.50  
% 0.22/0.50  thf(cTHM548_pme,conjecture,
% 0.22/0.50      ( ( ? [W: a > a > $o] :
% 0.22/0.50          ! [X: a > $o] :
% 0.22/0.50            ( ? [Xz: a] : ( X @ Xz )
% 0.22/0.50           => ? [Xz: a] :
% 0.22/0.50                ( ( X @ Xz )
% 0.22/0.50                & ! [Xx: a] :
% 0.22/0.50                    ( ( X @ Xx )
% 0.22/0.50                   => ( W @ Xz @ Xx ) )
% 0.22/0.50                & ! [Xy: a] :
% 0.22/0.50                    ( ( ( X @ Xy )
% 0.22/0.50                      & ! [Xx: a] :
% 0.22/0.50                          ( ( X @ Xx )
% 0.22/0.50                         => ( W @ Xy @ Xx ) ) )
% 0.22/0.50                   => ( Xy = Xz ) ) ) )
% 0.22/0.50        & ! [Xx: a,Xy: a,Xz: a] :
% 0.22/0.50            ( ( ( cR @ Xx @ Xy )
% 0.22/0.50              & ( cR @ Xy @ Xz ) )
% 0.22/0.50           => ( cR @ Xx @ Xz ) )
% 0.22/0.50        & ! [Xx: a] : ( cR @ Xx @ Xx )
% 0.22/0.50        & ! [Xx: a,Xy: a] :
% 0.22/0.50            ( ( ( cR @ Xx @ Xy )
% 0.22/0.50              & ( cR @ Xy @ Xx ) )
% 0.22/0.50           => ( Xx = Xy ) ) )
% 0.22/0.50     => ? [S: a > $o] :
% 0.22/0.50          ( ! [Xx: a,Xy: a] :
% 0.22/0.50              ( ( ( S @ Xx )
% 0.22/0.50                & ( S @ Xy ) )
% 0.22/0.50             => ( ( cR @ Xx @ Xy )
% 0.22/0.50                | ( cR @ Xy @ Xx ) ) )
% 0.22/0.50          & ! [T: a > $o] :
% 0.22/0.50              ( ( ! [Xx: a,Xy: a] :
% 0.22/0.50                    ( ( ( T @ Xx )
% 0.22/0.50                      & ( T @ Xy ) )
% 0.22/0.50                   => ( ( cR @ Xx @ Xy )
% 0.22/0.50                      | ( cR @ Xy @ Xx ) ) )
% 0.22/0.50                & ! [Xx: a] :
% 0.22/0.50                    ( ( S @ Xx )
% 0.22/0.50                   => ( T @ Xx ) ) )
% 0.22/0.50             => ! [Xx: a] :
% 0.22/0.50                  ( ( T @ Xx )
% 0.22/0.50                 => ( S @ Xx ) ) ) ) ) ).
% 0.22/0.50  
% 0.22/0.50  %------------------------------------------------------------------------------
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.v0KYxKBEWp/cvc5---1.0.5_23799.p...
% 0.22/0.50  (declare-sort $$unsorted 0)
% 0.22/0.50  (declare-sort tptp.a 0)
% 0.22/0.50  (declare-fun tptp.cR (tptp.a tptp.a) Bool)
% 0.22/0.50  (assert (not (=> (and (exists ((W (-> tptp.a tptp.a Bool))) (forall ((X (-> tptp.a Bool))) (=> (exists ((Xz tptp.a)) (@ X Xz)) (exists ((Xz tptp.a)) (and (@ X Xz) (forall ((Xx tptp.a)) (=> (@ X Xx) (@ (@ W Xz) Xx))) (forall ((Xy tptp.a)) (=> (and (@ X Xy) (forall ((Xx tptp.a)) (=> (@ X Xx) (@ (@ W Xy) Xx)))) (= Xy Xz)))))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ tptp.cR Xx))) (=> (and (@ _let_1 Xy) (@ (@ tptp.cR Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx tptp.a)) (@ (@ tptp.cR Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (and (@ (@ tptp.cR Xx) Xy) (@ (@ tptp.cR Xy) Xx)) (= Xx Xy)))) (exists ((S (-> tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (and (@ S Xx) (@ S Xy)) (or (@ (@ tptp.cR Xx) Xy) (@ (@ tptp.cR Xy) Xx)))) (forall ((T (-> tptp.a Bool))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (and (@ T Xx) (@ T Xy)) (or (@ (@ tptp.cR Xx) Xy) (@ (@ tptp.cR Xy) Xx/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 23926 Alarm clock             ( read result; case "$result" in 
% 299.98/300.14      unsat)
% 299.98/300.14          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.98/300.14      ;;
% 299.98/300.14      sat)
% 299.98/300.14          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.98/300.14      ;;
% 299.98/300.14  esac; exit 1 )
% 299.98/300.15  Alarm clock 
% 299.98/300.15  % cvc5---1.0.5 exiting
% 299.98/300.16  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------