TSTP Solution File: SEV234^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV234^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 19:21:56 EDT 2023

% Result   : Timeout 300.13s 290.67s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEV234^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.36  % Computer : n029.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit   : 300
% 0.17/0.36  % WCLimit    : 300
% 0.17/0.36  % DateTime   : Thu Aug 24 02:50:38 EDT 2023
% 0.17/0.36  % CPUTime    : 
% 0.20/0.49  %----Proving TH0
% 75.70/66.04  %------------------------------------------------------------------------------
% 75.70/66.04  % File     : SEV234^5 : TPTP v8.1.2. Released v4.0.0.
% 75.70/66.04  % Domain   : Set Theory (Sets of sets)
% 75.70/66.04  % Problem  : TPS problem BLEDSOE-FENG-SV-10
% 75.70/66.04  % Version  : Especial.
% 75.70/66.04  % English  : If a set B has the property that every x in B has a nbhd D 
% 75.70/66.04  %            subset B, then B is open.
% 75.70/66.04  
% 75.70/66.04  % Refs     : [BF93]  Bledsoe & Feng (1993), SET-VAR
% 75.70/66.04  %          : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 75.70/66.04  % Source   : [Bro09]
% 75.70/66.04  % Names    : tps_0452 [Bro09]
% 75.70/66.04  %          : BLEDSOE-FENG-SV-10 [TPS]
% 75.70/66.04  %          : Example 10 [BF93]
% 75.70/66.04  
% 75.70/66.04  % Status   : Theorem
% 75.70/66.04  % Rating   : 1.00 v4.0.0
% 75.70/66.04  % Syntax   : Number of formulae    :    2 (   0 unt;   1 typ;   0 def)
% 75.70/66.04  %            Number of atoms       :    5 (   1 equ;   0 cnn)
% 75.70/66.04  %            Maximal formula atoms :    5 (   5 avg)
% 75.70/66.04  %            Number of connectives :   21 (   0   ~;   0   |;   4   &;  11   @)
% 75.70/66.04  %                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
% 75.70/66.04  %            Maximal formula depth :   12 (  12 avg)
% 75.70/66.04  %            Number of types       :    2 (   0 usr)
% 75.70/66.04  %            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
% 75.70/66.04  %            Number of symbols     :    2 (   1 usr;   0 con; 1-2 aty)
% 75.70/66.04  %            Number of variables   :    9 (   1   ^;   6   !;   2   ?;   9   :)
% 75.70/66.04  % SPC      : TH0_THM_EQU_NAR
% 75.70/66.04  
% 75.70/66.04  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 75.70/66.04  %            project in the Department of Mathematical Sciences at Carnegie
% 75.70/66.04  %            Mellon University. Distributed under the Creative Commons copyleft
% 75.70/66.04  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 75.70/66.04  %          : Polymorphic definitions expanded.
% 75.70/66.04  %------------------------------------------------------------------------------
% 75.70/66.04  thf(cOPEN,type,
% 75.70/66.04      cOPEN: ( $i > $o ) > $o ).
% 75.70/66.04  
% 75.70/66.04  thf(cBLEDSOE_FENG_SV_10_pme,conjecture,
% 75.70/66.04      ( ! [D: $i > $o,G: ( $i > $o ) > $o] :
% 75.70/66.04          ( ( ! [Xx: $i > $o] :
% 75.70/66.04                ( ( G @ Xx )
% 75.70/66.04               => ( cOPEN @ Xx ) )
% 75.70/66.04            & ( D
% 75.70/66.04              = ( ^ [Xx: $i] :
% 75.70/66.04                  ? [S: $i > $o] :
% 75.70/66.04                    ( ( G @ S )
% 75.70/66.04                    & ( S @ Xx ) ) ) ) )
% 75.70/66.04         => ( cOPEN @ D ) )
% 75.70/66.04     => ! [B: $i > $o] :
% 75.70/66.04          ( ! [Xx: $i] :
% 75.70/66.04              ( ( B @ Xx )
% 75.70/66.04             => ? [D: $i > $o] :
% 75.70/66.04                  ( ( cOPEN @ D )
% 75.70/66.04                  & ( D @ Xx )
% 75.70/66.04                  & ! [Xx0: $i] :
% 75.70/66.04                      ( ( D @ Xx0 )
% 75.70/66.04                     => ( B @ Xx0 ) ) ) )
% 75.70/66.04         => ( cOPEN @ B ) ) ) ).
% 75.70/66.04  
% 75.70/66.04  %------------------------------------------------------------------------------
% 75.70/66.04  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4NnZ77wiN1/cvc5---1.0.5_28008.p...
% 75.70/66.04  (declare-sort $$unsorted 0)
% 75.70/66.04  (declare-fun tptp.cOPEN ((-> $$unsorted Bool)) Bool)
% 75.70/66.04  (assert (not (=> (forall ((D (-> $$unsorted Bool)) (G (-> (-> $$unsorted Bool) Bool))) (=> (and (forall ((Xx (-> $$unsorted Bool))) (=> (@ G Xx) (@ tptp.cOPEN Xx))) (= D (lambda ((Xx $$unsorted)) (exists ((S (-> $$unsorted Bool))) (and (@ G S) (@ S Xx)))))) (@ tptp.cOPEN D))) (forall ((B (-> $$unsorted Bool))) (=> (forall ((Xx $$unsorted)) (=> (@ B Xx) (exists ((D (-> $$unsorted Bool))) (and (@ tptp.cOPEN D) (@ D Xx) (forall ((Xx0 $$unsorted)) (=> (@ D Xx0) (@ B Xx0))))))) (@ tptp.cOPEN B))))))
% 75.70/66.04  (set-info :filename cvc5---1.0.5_28008)
% 75.70/66.04  (check-sat-assuming ( true ))
% 75.70/66.04  ------- get file name : TPTP file name is SEV234^5
% 75.70/66.04  ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28008.smt2...
% 75.70/66.04  --- Run --ho-elim --full-saturate-quant at 10...
% 75.70/66.04  --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 75.70/66.04  --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 75.70/66.04  --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 75.70/66.04  --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 75.70/66.04  --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 75.70/66.04  --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 75.70/66.04  --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 75.70/66.04  --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 75.70/66.04  --- Run --hcvc5 interrupted by timeout.
% 300.13/290.67  /export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 28147 CPU time limit exceeded (core dumped) ( read result; case "$result" in 
% 300.13/290.67      unsat)
% 300.13/290.67          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.13/290.67      ;;
% 300.13/290.67      sat)
% 300.13/290.67          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.13/290.67      ;;
% 300.13/290.67  esac; exit 1 )
% 300.13/290.68  Cputime limit exceeded (core dumped)  (core dumped)
% 300.13/290.68  % cvc5---1.0.5 exiting
% 300.13/290.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------