TSTP Solution File: SEV022^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV022^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 19:21:21 EDT 2023

% Result   : Timeout 299.99s 300.25s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEV022^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n018.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    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 03:23:57 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TH0
% 55.73/55.93  %------------------------------------------------------------------------------
% 55.73/55.93  % File     : SEV022^5 : TPTP v8.1.2. Released v4.0.0.
% 55.73/55.93  % Domain   : Set Theory (Relations)
% 55.73/55.93  % Problem  : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 55.73/55.93  % Version  : Especial.
% 55.73/55.93  % English  :
% 55.73/55.93  
% 55.73/55.93  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 55.73/55.93  % Source   : [Bro09]
% 55.73/55.93  % Names    : tps_1071 [Bro09]
% 55.73/55.93  
% 55.73/55.93  % Status   : Unknown
% 55.73/55.93  % Rating   : 1.00 v4.0.0
% 55.73/55.93  % Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
% 55.73/55.93  %            Number of atoms       :    6 (   2 equ;   0 cnn)
% 55.73/55.93  %            Maximal formula atoms :    5 (   6 avg)
% 55.73/55.93  %            Number of connectives :   36 (   0   ~;   0   |;   8   &;  21   @)
% 55.73/55.93  %                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
% 55.73/55.93  %            Maximal formula depth :   12 (  12 avg)
% 55.73/55.93  %            Number of types       :    2 (   1 usr)
% 55.73/55.93  %            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
% 55.73/55.93  %            Number of symbols     :    2 (   1 usr;   0 con; 1-2 aty)
% 55.73/55.93  %            Number of variables   :   15 (   1   ^;  11   !;   3   ?;  15   :)
% 55.73/55.93  % SPC      : TH0_UNK_EQU_NAR
% 55.73/55.93  
% 55.73/55.93  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 55.73/55.93  %            project in the Department of Mathematical Sciences at Carnegie
% 55.73/55.93  %            Mellon University. Distributed under the Creative Commons copyleft
% 55.73/55.93  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 55.73/55.93  %------------------------------------------------------------------------------
% 55.73/55.93  thf(a_type,type,
% 55.73/55.93      a: $tType ).
% 55.73/55.93  
% 55.73/55.93  thf(cP,type,
% 55.73/55.93      cP: ( a > $o ) > $o ).
% 55.73/55.93  
% 55.73/55.93  thf(cTHM556_pme,conjecture,
% 55.73/55.93      ( ( ! [Xp: a > $o] :
% 55.73/55.93            ( ( cP @ Xp )
% 55.73/55.93           => ? [Xz: a] : ( Xp @ Xz ) )
% 55.73/55.93        & ! [Xx: a,Xp: a > $o,Xq: a > $o] :
% 55.73/55.93            ( ( ( cP @ Xp )
% 55.73/55.93              & ( cP @ Xq )
% 55.73/55.93              & ( Xp @ Xx )
% 55.73/55.93              & ( Xq @ Xx ) )
% 55.73/55.93           => ( Xp = Xq ) ) )
% 55.73/55.93     => ? [R: a > a > $o] :
% 55.73/55.93          ( ! [Xx: a,Xy: a] :
% 55.73/55.93              ( ( R @ Xx @ Xy )
% 55.73/55.93             => ( R @ Xy @ Xx ) )
% 55.73/55.93          & ! [Xx: a,Xy: a,Xz: a] :
% 55.73/55.93              ( ( ( R @ Xx @ Xy )
% 55.73/55.93                & ( R @ Xy @ Xz ) )
% 55.73/55.93             => ( R @ Xx @ Xz ) )
% 55.73/55.93          & ( ( ^ [Xs: a > $o] :
% 55.73/55.93                  ( ? [Xz: a] : ( Xs @ Xz )
% 55.73/55.93                  & ! [Xx: a] :
% 55.73/55.93                      ( ( Xs @ Xx )
% 55.73/55.93                     => ! [Xy: a] :
% 55.73/55.93                          ( ( Xs @ Xy )
% 55.73/55.93                        <=> ( R @ Xx @ Xy ) ) ) ) )
% 55.73/55.93            = cP ) ) ) ).
% 55.73/55.93  
% 55.73/55.93  %------------------------------------------------------------------------------
% 55.73/55.93  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CA75u6JG26/cvc5---1.0.5_4838.p...
% 55.73/55.93  (declare-sort $$unsorted 0)
% 55.73/55.93  (declare-sort tptp.a 0)
% 55.73/55.93  (declare-fun tptp.cP ((-> tptp.a Bool)) Bool)
% 55.73/55.93  (assert (not (=> (and (forall ((Xp (-> tptp.a Bool))) (=> (@ tptp.cP Xp) (exists ((Xz tptp.a)) (@ Xp Xz)))) (forall ((Xx tptp.a) (Xp (-> tptp.a Bool)) (Xq (-> tptp.a Bool))) (=> (and (@ tptp.cP Xp) (@ tptp.cP Xq) (@ Xp Xx) (@ Xq Xx)) (= Xp Xq)))) (exists ((R (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ R Xx) Xy) (@ (@ R Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ R Xx))) (=> (and (@ _let_1 Xy) (@ (@ R Xy) Xz)) (@ _let_1 Xz)))) (= (lambda ((Xs (-> tptp.a Bool))) (and (exists ((Xz tptp.a)) (@ Xs Xz)) (forall ((Xx tptp.a)) (=> (@ Xs Xx) (forall ((Xy tptp.a)) (= (@ Xs Xy) (@ (@ R Xx) Xy))))))) tptp.cP))))))
% 55.73/55.93  (set-info :filename cvc5---1.0.5_4838)
% 55.73/55.93  (check-sat-assuming ( true ))
% 55.73/55.93  ------- get file name : TPTP file name is SEV022^5
% 55.73/55.93  ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4838.smt2...
% 55.73/55.93  --- Run --ho-elim --full-saturate-quant at 10...
% 55.73/55.93  --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 55.73/55.93  --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 55.73/55.93  --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 55.73/55.93  --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 55.73/55.93  --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 55.73/55.93  --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 55.73/55.93  --- Run --ho-elim --full-/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35:  7096 Alarm clock             ( read result; case "$result" in 
% 299.99/300.25      unsat)
% 299.99/300.25          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.99/300.25      ;;
% 299.99/300.25      sat)
% 299.99/300.25          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.99/300.25      ;;
% 299.99/300.25  esac; exit 1 )
% 299.99/300.26  Alarm clock 
% 299.99/300.26  % cvc5---1.0.5 exiting
% 299.99/300.26  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------