TSTP Solution File: SEV298^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV298^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 19:22:08 EDT 2023

% Result   : Timeout 299.81s 300.13s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEV298^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Thu Aug 24 03:59:26 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TH0
% 0.21/0.51  %------------------------------------------------------------------------------
% 0.21/0.51  % File     : SEV298^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.21/0.51  % Domain   : Set Theory
% 0.21/0.51  % Problem  : TPS problem from TTTP-NATS-THMS
% 0.21/0.51  % Version  : Especial.
% 0.21/0.51  % English  :
% 0.21/0.51  
% 0.21/0.51  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.51  % Source   : [Bro09]
% 0.21/0.51  % Names    : tps_0710 [Bro09]
% 0.21/0.51  
% 0.21/0.51  % Status   : CounterCounterSatisfiable
% 0.21/0.51  % Rating   : 1.00 v8.1.0, 0.60 v7.4.0, 0.50 v7.2.0, 0.33 v6.4.0, 0.67 v6.3.0, 0.33 v5.2.0
% 0.21/0.51  % Syntax   : Number of formulae    :    9 (   2 unt;   6 typ;   2 def)
% 0.21/0.51  %            Number of atoms       :   13 (   3 equ;   0 cnn)
% 0.21/0.51  %            Maximal formula atoms :    7 (   4 avg)
% 0.21/0.51  %            Number of connectives :   23 (   1   ~;   0   |;   5   &;  14   @)
% 0.21/0.51  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 0.21/0.51  %            Maximal formula depth :    7 (   3 avg)
% 0.21/0.51  %            Number of types       :    2 (   0 usr)
% 0.21/0.51  %            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
% 0.21/0.51  %            Number of symbols     :    7 (   6 usr;   0 con; 1-2 aty)
% 0.21/0.51  %            Number of variables   :    9 (   5   ^;   2   !;   2   ?;   9   :)
% 0.21/0.51  % SPC      : TH0_CSA_EQU_NAR
% 0.21/0.51  
% 0.21/0.51  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.51  %            project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.51  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.51  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.51  % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.21/0.51  %------------------------------------------------------------------------------
% 0.21/0.51  thf(c0_type,type,
% 0.21/0.51      c0: ( $i > $o ) > $o ).
% 0.21/0.51  
% 0.21/0.51  thf(c1_type,type,
% 0.21/0.51      c1: ( $i > $o ) > $o ).
% 0.21/0.51  
% 0.21/0.51  thf(c2_type,type,
% 0.21/0.51      c2: ( $i > $o ) > $o ).
% 0.21/0.51  
% 0.21/0.51  thf(cP_type,type,
% 0.21/0.51      cP: ( ( $i > $o ) > $o ) > $o ).
% 0.21/0.51  
% 0.21/0.51  thf(cSUCC_type,type,
% 0.21/0.51      cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 0.21/0.51  
% 0.21/0.51  thf(c_less__eq__type,type,
% 0.21/0.51      c_less__eq_: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
% 0.21/0.51  
% 0.21/0.51  thf(cSUCC_def,definition,
% 0.21/0.51      ( cSUCC
% 0.21/0.51      = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
% 0.21/0.51          ? [Xx: $i] :
% 0.21/0.51            ( ( Xp @ Xx )
% 0.21/0.51            & ( Xn
% 0.21/0.51              @ ^ [Xt: $i] :
% 0.21/0.51                  ( ( Xt != Xx )
% 0.21/0.51                  & ( Xp @ Xt ) ) ) ) ) ) ).
% 0.21/0.51  
% 0.21/0.51  thf(c_less__eq__def,definition,
% 0.21/0.51      ( c_less__eq_
% 0.21/0.51      = ( ^ [Xx: ( $i > $o ) > $o,Xy: ( $i > $o ) > $o] :
% 0.21/0.51          ! [Xp: ( ( $i > $o ) > $o ) > $o] :
% 0.21/0.51            ( ( ( Xp @ Xx )
% 0.21/0.51              & ! [Xz: ( $i > $o ) > $o] :
% 0.21/0.51                  ( ( Xp @ Xz )
% 0.21/0.51                 => ( Xp @ ( cSUCC @ Xz ) ) ) )
% 0.21/0.51           => ( Xp @ Xy ) ) ) ) ).
% 0.21/0.51  
% 0.21/0.51  thf(cBLEDSOE7,conjecture,
% 0.21/0.51      ( ( cP @ c1 )
% 0.21/0.51     => ? [Xx: ( $i > $o ) > $o] :
% 0.21/0.51          ( ( c_less__eq_ @ c0 @ Xx )
% 0.21/0.51          & ( c_less__eq_ @ Xx @ c2 )
% 0.21/0.51          & ( cP @ Xx ) ) ) ).
% 0.21/0.51  
% 0.21/0.51  %------------------------------------------------------------------------------
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3yGqphm9I9/cvc5---1.0.5_32699.p...
% 0.21/0.51  (declare-sort $$unsorted 0)
% 0.21/0.51  (declare-fun tptp.c0 ((-> $$unsorted Bool)) Bool)
% 0.21/0.51  (declare-fun tptp.c1 ((-> $$unsorted Bool)) Bool)
% 0.21/0.51  (declare-fun tptp.c2 ((-> $$unsorted Bool)) Bool)
% 0.21/0.51  (declare-fun tptp.cP ((-> (-> $$unsorted Bool) Bool)) Bool)
% 0.21/0.51  (declare-fun tptp.cSUCC ((-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 0.21/0.51  (declare-fun tptp.c_less__eq_ ((-> (-> $$unsorted Bool) Bool) (-> (-> $$unsorted Bool) Bool)) Bool)
% 0.21/0.51  (assert (= tptp.cSUCC (lambda ((Xn (-> (-> $$unsorted Bool) Bool)) (Xp (-> $$unsorted Bool))) (exists ((Xx $$unsorted)) (and (@ Xp Xx) (@ Xn (lambda ((Xt $$unsorted)) (and (not (= Xt Xx)) (@ Xp Xt)))))))))
% 0.21/0.51  (assert (= tptp.c_less__eq_ (lambda ((Xx (-> (-> $$unsorted Bool) Bool)) (Xy (-> (-> $$unsorted Bool) Bool))) (forall ((Xp (-> (-> (-> $$unsorted Bool) Bool) Bool))) (=> (and (@ Xp Xx) (forall ((Xz (-> (-> $$unsorted Bool) Bool))) (=> (@ Xp Xz) (@ Xp (@ tptp.cSUCC Xz))))) (@ Xp Xy))))))
% 0.21/0.51  (assert (not (=> (@ tptp.cP tptp.c1) (exists ((Xx (-> (-> $$unsorted Bool) Bool))) (and (@ (@ tptp.c_less__eq_ tptp.c0) Xx) (@ (@ tptp.c_less__eq_ Xx) tptp.c2) (@ tptp.cP Xx))))))
% 0.21/0.51  (set-info :filename cvc5---1.0.5_32699)
% 0.21/0.51  (check-sat-assuming ( true )/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35:  2761 Alarm clock             ( read result; case "$result" in 
% 299.81/300.13      unsat)
% 299.81/300.13          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.81/300.13      ;;
% 299.81/300.13      sat)
% 299.81/300.13          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.81/300.13      ;;
% 299.81/300.13  esac; exit 1 )
% 299.81/300.13  Alarm clock 
% 299.81/300.13  % cvc5---1.0.5 exiting
% 299.81/300.14  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------