TSTP Solution File: SEV032^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV032^5 : TPTP v8.1.2. Released v4.0.0.
% 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 19:21:23 EDT 2023

% Result   : Timeout 299.69s 300.19s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SEV032^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n001.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 04:12:40 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TH0
% 0.20/0.49  %------------------------------------------------------------------------------
% 0.20/0.49  % File     : SEV032^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.49  % Domain   : Set Theory (Relations)
% 0.20/0.49  % Problem  : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.20/0.49  % Version  : Especial.
% 0.20/0.49  % English  :
% 0.20/0.49  
% 0.20/0.49  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.49  % Source   : [Bro09]
% 0.20/0.49  % Names    : tps_1128 [Bro09]
% 0.20/0.49  
% 0.20/0.49  % Status   : Theorem
% 0.20/0.49  % Rating   : 0.92 v8.1.0, 0.91 v7.5.0, 1.00 v4.0.0
% 0.20/0.49  % Syntax   : Number of formulae    :    2 (   0 unt;   1 typ;   0 def)
% 0.20/0.49  %            Number of atoms       :    3 (   3 equ;   0 cnn)
% 0.20/0.49  %            Maximal formula atoms :    3 (   3 avg)
% 0.20/0.49  %            Number of connectives :   55 (   5   ~;   3   |;  16   &;  24   @)
% 0.20/0.49  %                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
% 0.20/0.49  %            Maximal formula depth :   16 (  16 avg)
% 0.20/0.49  %            Number of types       :    2 (   1 usr)
% 0.20/0.49  %            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
% 0.20/0.49  %            Number of symbols     :    1 (   0 usr;   0 con; 2-2 aty)
% 0.20/0.49  %            Number of variables   :   18 (   0   ^;  10   !;   8   ?;  18   :)
% 0.20/0.49  % SPC      : TH0_THM_EQU_NAR
% 0.20/0.49  
% 0.20/0.49  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.49  %            project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.49  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.49  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.49  %------------------------------------------------------------------------------
% 0.20/0.49  thf(a_type,type,
% 0.20/0.49      a: $tType ).
% 0.20/0.49  
% 0.20/0.49  thf(cTHM266_LEMMA_pme,conjecture,
% 0.20/0.49      ! [T: ( a > $o ) > $o,U: ( a > $o ) > $o] :
% 0.20/0.49        ( ( ( T != U )
% 0.20/0.49          & ! [Xp: a > $o] :
% 0.20/0.49              ( ( T @ Xp )
% 0.20/0.49             => ? [Xz: a] : ( Xp @ Xz ) )
% 0.20/0.49          & ! [Xx: a] :
% 0.20/0.49            ? [Xp: a > $o] :
% 0.20/0.49              ( ( T @ Xp )
% 0.20/0.49              & ( Xp @ Xx )
% 0.20/0.49              & ! [Xq: a > $o] :
% 0.20/0.49                  ( ( ( T @ Xq )
% 0.20/0.49                    & ( Xq @ Xx ) )
% 0.20/0.49                 => ( Xq = Xp ) ) )
% 0.20/0.49          & ! [Xp: a > $o] :
% 0.20/0.49              ( ( U @ Xp )
% 0.20/0.49             => ? [Xz: a] : ( Xp @ Xz ) )
% 0.20/0.49          & ! [Xx: a] :
% 0.20/0.49            ? [Xp: a > $o] :
% 0.20/0.49              ( ( U @ Xp )
% 0.20/0.49              & ( Xp @ Xx )
% 0.20/0.49              & ! [Xq: a > $o] :
% 0.20/0.49                  ( ( ( U @ Xq )
% 0.20/0.49                    & ( Xq @ Xx ) )
% 0.20/0.49                 => ( Xq = Xp ) ) ) )
% 0.20/0.49       => ? [Xx: a,Xy: a] :
% 0.20/0.49            ( ( ? [Xs: a > $o] :
% 0.20/0.49                  ( ( T @ Xs )
% 0.20/0.49                  & ( Xs @ Xx )
% 0.20/0.49                  & ( Xs @ Xy ) )
% 0.20/0.49              & ! [Xq: a > $o] :
% 0.20/0.49                  ( ( U @ Xq )
% 0.20/0.49                 => ( ~ ( Xq @ Xx )
% 0.20/0.49                    | ~ ( Xq @ Xy ) ) ) )
% 0.20/0.49            | ( ? [Xs: a > $o] :
% 0.20/0.49                  ( ( U @ Xs )
% 0.20/0.49                  & ( Xs @ Xx )
% 0.20/0.49                  & ( Xs @ Xy ) )
% 0.20/0.49              & ! [Xq: a > $o] :
% 0.20/0.49                  ( ( T @ Xq )
% 0.20/0.49                 => ( ~ ( Xq @ Xx )
% 0.20/0.49                    | ~ ( Xq @ Xy ) ) ) ) ) ) ).
% 0.20/0.49  
% 0.20/0.49  %------------------------------------------------------------------------------
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CtJSTWYMAB/cvc5---1.0.5_16159.p...
% 0.20/0.49  (declare-sort $$unsorted 0)
% 0.20/0.49  (declare-sort tptp.a 0)
% 0.20/0.49  (assert (not (forall ((T (-> (-> tptp.a Bool) Bool)) (U (-> (-> tptp.a Bool) Bool))) (=> (and (not (= T U)) (forall ((Xp (-> tptp.a Bool))) (=> (@ T Xp) (exists ((Xz tptp.a)) (@ Xp Xz)))) (forall ((Xx tptp.a)) (exists ((Xp (-> tptp.a Bool))) (and (@ T Xp) (@ Xp Xx) (forall ((Xq (-> tptp.a Bool))) (=> (and (@ T Xq) (@ Xq Xx)) (= Xq Xp)))))) (forall ((Xp (-> tptp.a Bool))) (=> (@ U Xp) (exists ((Xz tptp.a)) (@ Xp Xz)))) (forall ((Xx tptp.a)) (exists ((Xp (-> tptp.a Bool))) (and (@ U Xp) (@ Xp Xx) (forall ((Xq (-> tptp.a Bool))) (=> (and (@ U Xq) (@ Xq Xx)) (= Xq Xp))))))) (exists ((Xx tptp.a) (Xy tptp.a)) (or (and (exists ((Xs (-> tptp.a Bool))) (and (@ T Xs) (@ Xs Xx) (@ Xs Xy))) (forall ((Xq (-> tptp.a Bool))) (=> (@ U Xq) (or (not (@ Xq Xx)) (not (@ Xq Xy)))))) (and (exists ((Xs (-> tptp.a Bool))) (and (@ U Xs) (@ Xs Xx) (@ Xs Xy))) (forall ((Xq (-> tptp.a Bool))) (=> (@ T Xq) (or (not (@ Xq Xx)) (not (@ Xq Xy))))))))))))
% 0.20/0.49  (set-info :filename cvc5---1.0.5_16159)
% 0.20/0.49  (check-sat-assuming/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 16349 Alarm clock             ( read result; case "$result" in 
% 299.69/300.19      unsat)
% 299.69/300.19          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.69/300.19      ;;
% 299.69/300.19      sat)
% 299.69/300.19          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.69/300.19      ;;
% 299.69/300.19  esac; exit 1 )
% 299.69/300.20  Alarm clock 
% 299.69/300.20  % cvc5---1.0.5 exiting
% 299.69/300.21  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------