TSTP Solution File: SEV205^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV205^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 19:21:51 EDT 2023

% Result   : Timeout 299.80s 300.12s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEV205^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n002.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Thu Aug 24 02:11:16 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.53  %----Proving TH0
% 0.22/0.54  %------------------------------------------------------------------------------
% 0.22/0.54  % File     : SEV205^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.54  % Domain   : Set Theory (Sets of sets)
% 0.22/0.54  % Problem  : TPS problem from S-THMS
% 0.22/0.54  % Version  : Especial.
% 0.22/0.54  % English  :
% 0.22/0.54  
% 0.22/0.54  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.54  % Source   : [Bro09]
% 0.22/0.54  % Names    : tps_1158 [Bro09]
% 0.22/0.54  
% 0.22/0.54  % Status   : Theorem
% 0.22/0.54  % Rating   : 0.92 v8.1.0, 1.00 v4.0.0
% 0.22/0.54  % Syntax   : Number of formulae    :    7 (   0 unt;   6 typ;   0 def)
% 0.22/0.54  %            Number of atoms       :   13 (  13 equ;   0 cnn)
% 0.22/0.54  %            Maximal formula atoms :   13 (  13 avg)
% 0.22/0.54  %            Number of connectives :   54 (   2   ~;   0   |;  11   &;  35   @)
% 0.22/0.54  %                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
% 0.22/0.54  %            Maximal formula depth :   14 (  14 avg)
% 0.22/0.54  %            Number of types       :    3 (   2 usr)
% 0.22/0.54  %            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
% 0.22/0.54  %            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
% 0.22/0.54  %            Number of variables   :   22 (   0   ^;  21   !;   1   ?;  22   :)
% 0.22/0.54  % SPC      : TH0_THM_EQU_NAR
% 0.22/0.54  
% 0.22/0.54  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.54  %            project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.54  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.54  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.54  %------------------------------------------------------------------------------
% 0.22/0.54  thf(b_type,type,
% 0.22/0.54      b: $tType ).
% 0.22/0.54  
% 0.22/0.54  thf(iS_type,type,
% 0.22/0.54      iS: $tType ).
% 0.22/0.54  
% 0.22/0.54  thf(cP2,type,
% 0.22/0.54      cP2: b > b > b ).
% 0.22/0.54  
% 0.22/0.54  thf(cP,type,
% 0.22/0.54      cP: iS > iS > iS ).
% 0.22/0.54  
% 0.22/0.54  thf(c02,type,
% 0.22/0.54      c02: b ).
% 0.22/0.54  
% 0.22/0.54  thf(c0,type,
% 0.22/0.54      c0: iS ).
% 0.22/0.54  
% 0.22/0.54  thf(cTHM_S_INIT_pme,conjecture,
% 0.22/0.54      ( ( ! [Xx: iS,Xy: iS] :
% 0.22/0.54            ( ( cP @ Xx @ Xy )
% 0.22/0.54           != c0 )
% 0.22/0.54        & ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
% 0.22/0.54            ( ( ( cP @ Xx @ Xu )
% 0.22/0.54              = ( cP @ Xy @ Xv ) )
% 0.22/0.54           => ( ( Xx = Xy )
% 0.22/0.54              & ( Xu = Xv ) ) )
% 0.22/0.54        & ! [X: iS > $o] :
% 0.22/0.54            ( ( ( X @ c0 )
% 0.22/0.54              & ! [Xx: iS,Xy: iS] :
% 0.22/0.54                  ( ( ( X @ Xx )
% 0.22/0.54                    & ( X @ Xy ) )
% 0.22/0.54                 => ( X @ ( cP @ Xx @ Xy ) ) ) )
% 0.22/0.54           => ! [Xx: iS] : ( X @ Xx ) )
% 0.22/0.54        & ! [Xx: b,Xy: b,Xu: b,Xv: b] :
% 0.22/0.54            ( ( ( cP2 @ Xx @ Xu )
% 0.22/0.54              = ( cP2 @ Xy @ Xv ) )
% 0.22/0.54           => ( ( Xx = Xy )
% 0.22/0.54              & ( Xu = Xv ) ) )
% 0.22/0.54        & ! [Xx: b,Xy: b] :
% 0.22/0.54            ( ( cP2 @ Xx @ Xy )
% 0.22/0.54           != c02 ) )
% 0.22/0.54     => ? [Xf: iS > b] :
% 0.22/0.54          ( ( ( Xf @ c0 )
% 0.22/0.54            = c02 )
% 0.22/0.54          & ! [Xx: iS,Xy: iS] :
% 0.22/0.54              ( ( Xf @ ( cP @ Xx @ Xy ) )
% 0.22/0.54              = ( cP2 @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 0.22/0.54          & ! [Xg: iS > b] :
% 0.22/0.54              ( ( ( ( Xg @ c0 )
% 0.22/0.54                  = c02 )
% 0.22/0.54                & ! [Xx: iS,Xy: iS] :
% 0.22/0.54                    ( ( Xg @ ( cP @ Xx @ Xy ) )
% 0.22/0.54                    = ( cP2 @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) )
% 0.22/0.54             => ( Xf = Xg ) ) ) ) ).
% 0.22/0.54  
% 0.22/0.54  %------------------------------------------------------------------------------
% 0.22/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.5UEjHAn6nt/cvc5---1.0.5_11930.p...
% 0.22/0.54  (declare-sort $$unsorted 0)
% 0.22/0.54  (declare-sort tptp.b 0)
% 0.22/0.54  (declare-sort tptp.iS 0)
% 0.22/0.54  (declare-fun tptp.cP2 (tptp.b tptp.b) tptp.b)
% 0.22/0.54  (declare-fun tptp.cP (tptp.iS tptp.iS) tptp.iS)
% 0.22/0.54  (declare-fun tptp.c02 () tptp.b)
% 0.22/0.54  (declare-fun tptp.c0 () tptp.iS)
% 0.22/0.54  (assert (not (=> (and (forall ((Xx tptp.iS) (Xy tptp.iS)) (not (= (@ (@ tptp.cP Xx) Xy) tptp.c0))) (forall ((Xx tptp.iS) (Xy tptp.iS) (Xu tptp.iS) (Xv tptp.iS)) (=> (= (@ (@ tptp.cP Xx) Xu) (@ (@ tptp.cP Xy) Xv)) (and (= Xx Xy) (= Xu Xv)))) (forall ((X (-> tptp.iS Bool))) (=> (and (@ X tptp.c0) (forall ((Xx tptp.iS) (Xy tptp.iS)) (=> (and (@ X Xx) (@ X Xy)) (@ X (@ (@ tptp.cP Xx) Xy))))) (forall ((Xx tptp.iS)) (@ X Xx)))) (forall ((Xx tptp.b) (Xy tptp.b) (Xu tptp.b) (Xv tptp.b)) (=> (= (@ (@ tptp.cP2 Xx) Xu) (@ (@ tptp.cP2 Xy) Xv)) (and (= Xx Xy) (= Xu Xv)))) (forall ((Xx tptp.b) (Xy tptp.b)) (not (= (@ (@ tptp.cP2 Xx) Xy) tptp.c02)))) (exists ((Xf (-> tptp.iS tptp.b))) (and (= (@ Xf tptp.c0) tptp.c02) (forall ((Xx tptp.iS) (Xy tptp.iS)) (= (@ Xf (@ (@ tptp.cP Xx) Xy)) (@ /export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 12158 Alarm clock             ( read result; case "$result" in 
% 299.80/300.12      unsat)
% 299.80/300.12          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.80/300.12      ;;
% 299.80/300.12      sat)
% 299.80/300.12          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.80/300.12      ;;
% 299.80/300.12  esac; exit 1 )
% 299.80/300.13  Alarm clock 
% 299.80/300.13  % cvc5---1.0.5 exiting
% 299.80/300.13  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------