TSTP Solution File: SEV030^5 by cvc5---1.0.5

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%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV030^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 19:21:22 EDT 2023

% Result   : Timeout 299.94s 300.12s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEV030^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Aug 24 01:51:12 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TH0
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  % File     : SEV030^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.50  % Domain   : Set Theory (Relations)
% 0.21/0.50  % Problem  : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.21/0.50  % Version  : Especial.
% 0.21/0.50  % English  :
% 0.21/0.50  
% 0.21/0.50  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.50  % Source   : [Bro09]
% 0.21/0.50  % Names    : tps_1125 [Bro09]
% 0.21/0.50  
% 0.21/0.50  % Status   : Unknown
% 0.21/0.50  % Rating   : 1.00 v4.0.0
% 0.21/0.50  % Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
% 0.21/0.50  %            Number of atoms       :    9 (   2 equ;   0 cnn)
% 0.21/0.50  %            Maximal formula atoms :    8 (   9 avg)
% 0.21/0.50  %            Number of connectives :   51 (   0   ~;   0   |;  13   &;  29   @)
% 0.21/0.50  %                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
% 0.21/0.50  %            Maximal formula depth :   15 (  15 avg)
% 0.21/0.50  %            Number of types       :    2 (   1 usr)
% 0.21/0.50  %            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
% 0.21/0.50  %            Number of symbols     :    2 (   1 usr;   0 con; 1-2 aty)
% 0.21/0.50  %            Number of variables   :   21 (   1   ^;  16   !;   4   ?;  21   :)
% 0.21/0.50  % SPC      : TH0_UNK_EQU_NAR
% 0.21/0.50  
% 0.21/0.50  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.50  %            project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.50  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.50  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  thf(a_type,type,
% 0.21/0.50      a: $tType ).
% 0.21/0.50  
% 0.21/0.50  thf(cP,type,
% 0.21/0.50      cP: ( a > $o ) > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cTHM262_C_EXT2_pme,conjecture,
% 0.21/0.50      ( ! [Xq1: a > $o,Xq2: a > $o] :
% 0.21/0.50          ( ( ( Xq1 = Xq2 )
% 0.21/0.50            & ( cP @ Xq1 ) )
% 0.21/0.50         => ( cP @ Xq2 ) )
% 0.21/0.50     => ( ( ! [Xp: a > $o] :
% 0.21/0.50              ( ( cP @ Xp )
% 0.21/0.50             => ? [Xz: a] : ( Xp @ Xz ) )
% 0.21/0.50          & ! [Xx: a] :
% 0.21/0.50            ? [Xp: a > $o] :
% 0.21/0.50              ( ( cP @ Xp )
% 0.21/0.50              & ( Xp @ Xx ) )
% 0.21/0.50          & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
% 0.21/0.50              ( ( ( cP @ Xp )
% 0.21/0.50                & ( cP @ Xq )
% 0.21/0.50                & ( Xp @ Xx )
% 0.21/0.50                & ( Xq @ Xx )
% 0.21/0.50                & ( Xp @ Xy ) )
% 0.21/0.50             => ( Xq @ Xy ) ) )
% 0.21/0.50       => ? [Q: a > a > $o] :
% 0.21/0.50            ( ! [Xx: a] : ( Q @ Xx @ Xx )
% 0.21/0.50            & ! [Xx: a,Xy: a] :
% 0.21/0.50                ( ( Q @ Xx @ Xy )
% 0.21/0.50               => ( Q @ Xy @ Xx ) )
% 0.21/0.50            & ! [Xx: a,Xy: a,Xz: a] :
% 0.21/0.50                ( ( ( Q @ Xx @ Xy )
% 0.21/0.50                  & ( Q @ Xy @ Xz ) )
% 0.21/0.50               => ( Q @ Xx @ Xz ) )
% 0.21/0.50            & ( ( ^ [Xs: a > $o] :
% 0.21/0.50                    ( ? [Xz: a] : ( Xs @ Xz )
% 0.21/0.50                    & ! [Xx: a] :
% 0.21/0.50                        ( ( Xs @ Xx )
% 0.21/0.50                       => ! [Xy: a] :
% 0.21/0.50                            ( ( Xs @ Xy )
% 0.21/0.50                          <=> ( Q @ Xx @ Xy ) ) ) ) )
% 0.21/0.50              = cP ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.g288dOfx3k/cvc5---1.0.5_25125.p...
% 0.21/0.50  (declare-sort $$unsorted 0)
% 0.21/0.50  (declare-sort tptp.a 0)
% 0.21/0.50  (declare-fun tptp.cP ((-> tptp.a Bool)) Bool)
% 0.21/0.50  (assert (not (=> (forall ((Xq1 (-> tptp.a Bool)) (Xq2 (-> tptp.a Bool))) (=> (and (= Xq1 Xq2) (@ tptp.cP Xq1)) (@ tptp.cP Xq2))) (=> (and (forall ((Xp (-> tptp.a Bool))) (=> (@ tptp.cP Xp) (exists ((Xz tptp.a)) (@ Xp Xz)))) (forall ((Xx tptp.a)) (exists ((Xp (-> tptp.a Bool))) (and (@ tptp.cP Xp) (@ Xp Xx)))) (forall ((Xx tptp.a) (Xy tptp.a) (Xp (-> tptp.a Bool)) (Xq (-> tptp.a Bool))) (=> (and (@ tptp.cP Xp) (@ tptp.cP Xq) (@ Xp Xx) (@ Xq Xx) (@ Xp Xy)) (@ Xq Xy)))) (exists ((Q (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a)) (@ (@ Q Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Q Xx) Xy) (@ (@ Q Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Q Xx))) (=> (and (@ _let_1 Xy) (@ (@ Q 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) (@ (@ Q Xx) Xy))))))) tptp.cP)))))))
% 0.21/0.50  (set-info :filename cvc5---1.0.5_25125)
% 0.21/0.50  (check-sat-assuming ( true ))
% 0.21/0.50  ------- get file name : TPTP file name is SEV030^5
% 0.21/0.50  -/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 25753 Alarm clock             ( read result; case "$result" in 
% 299.94/300.12      unsat)
% 299.94/300.12          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.94/300.12      ;;
% 299.94/300.12      sat)
% 299.94/300.12          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.94/300.12      ;;
% 299.94/300.12  esac; exit 1 )
% 299.94/300.13  Alarm clock 
% 299.94/300.13  % cvc5---1.0.5 exiting
% 299.94/300.13  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------