TSTP Solution File: SEV007^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV007^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 19:21:17 EDT 2023
% Result : Timeout 299.69s 300.18s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SEV007^5 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.16 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n013.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 02:20:32 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.22/0.53 %----Proving TH0
% 0.22/0.54 %------------------------------------------------------------------------------
% 0.22/0.54 % File : SEV007^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.54 % Domain : Set Theory (Relations)
% 0.22/0.54 % Problem : TPS problem from LATTICES-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_1246 [Bro09]
% 0.22/0.54
% 0.22/0.54 % Status : Unknown
% 0.22/0.54 % Rating : 1.00 v4.0.0
% 0.22/0.54 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.22/0.54 % Number of atoms : 70 ( 70 equ; 0 cnn)
% 0.22/0.54 % Maximal formula atoms : 70 ( 70 avg)
% 0.22/0.54 % Number of connectives : 227 ( 22 ~; 0 |; 67 &; 136 @)
% 0.22/0.54 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.54 % Maximal formula depth : 41 ( 41 avg)
% 0.22/0.54 % Number of types : 1 ( 1 usr)
% 0.22/0.54 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.22/0.54 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.22/0.54 % Number of variables : 34 ( 0 ^; 24 !; 10 ?; 34 :)
% 0.22/0.54 % SPC : TH0_UNK_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(a_type,type,
% 0.22/0.54 a: $tType ).
% 0.22/0.54
% 0.22/0.54 thf(cDISTRIB_THM2_pme,conjecture,
% 0.22/0.54 ! [JOIN: a > a > a,MEET: a > a > a] :
% 0.22/0.54 ( ( ! [Xx: a] :
% 0.22/0.54 ( ( JOIN @ Xx @ Xx )
% 0.22/0.54 = Xx )
% 0.22/0.54 & ! [Xx: a] :
% 0.22/0.54 ( ( MEET @ Xx @ Xx )
% 0.22/0.54 = Xx )
% 0.22/0.54 & ! [Xx: a,Xy: a,Xz: a] :
% 0.22/0.54 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 0.22/0.54 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 0.22/0.54 & ! [Xx: a,Xy: a,Xz: a] :
% 0.22/0.54 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 0.22/0.54 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 0.22/0.54 & ! [Xx: a,Xy: a] :
% 0.22/0.54 ( ( JOIN @ Xx @ Xy )
% 0.22/0.54 = ( JOIN @ Xy @ Xx ) )
% 0.22/0.54 & ! [Xx: a,Xy: a] :
% 0.22/0.54 ( ( MEET @ Xx @ Xy )
% 0.22/0.54 = ( MEET @ Xy @ Xx ) )
% 0.22/0.54 & ! [Xx: a,Xy: a] :
% 0.22/0.54 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 0.22/0.54 = Xy )
% 0.22/0.54 & ! [Xx: a,Xy: a] :
% 0.22/0.54 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 0.22/0.54 = Xy ) )
% 0.22/0.54 => ( ( ! [Xx: a,Xy: a,Xz: a] :
% 0.22/0.54 ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
% 0.22/0.54 = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
% 0.22/0.54 & ! [Xx: a,Xy: a,Xz: a] :
% 0.22/0.54 ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
% 0.22/0.54 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) )
% 0.22/0.54 <=> ( ~ ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 0.22/0.54 ( ( Xa != Xb )
% 0.22/0.54 & ( Xa != Xc )
% 0.22/0.54 & ( Xa != Xx )
% 0.22/0.54 & ( Xa != Xy )
% 0.22/0.54 & ( Xb != Xc )
% 0.22/0.54 & ( Xb != Xx )
% 0.22/0.54 & ( Xb != Xy )
% 0.22/0.54 & ( Xc != Xx )
% 0.22/0.54 & ( Xc != Xy )
% 0.22/0.54 & ( Xx != Xy )
% 0.22/0.54 & ( ( MEET @ Xx @ Xy )
% 0.22/0.54 = Xy )
% 0.22/0.54 & ( ( JOIN @ Xx @ Xy )
% 0.22/0.54 = Xx )
% 0.22/0.54 & ( ( MEET @ Xx @ Xa )
% 0.22/0.54 = Xa )
% 0.22/0.54 & ( ( JOIN @ Xx @ Xa )
% 0.22/0.54 = Xx )
% 0.22/0.54 & ( ( MEET @ Xx @ Xb )
% 0.22/0.54 = Xb )
% 0.22/0.54 & ( ( JOIN @ Xx @ Xb )
% 0.22/0.54 = Xx )
% 0.22/0.54 & ( ( MEET @ Xx @ Xc )
% 0.22/0.54 = Xc )
% 0.22/0.54 & ( ( JOIN @ Xx @ Xc )
% 0.22/0.54 = Xx )
% 0.22/0.54 & ( ( MEET @ Xa @ Xb )
% 0.22/0.54 = Xy )
% 0.22/0.54 & ( ( JOIN @ Xa @ Xb )
% 0.22/0.54 = Xx )
% 0.22/0.54 & ( ( MEET @ Xa @ Xc )
% 0.22/0.54 = Xa )
% 0.22/0.54 & ( ( JOIN @ Xa @ Xc )
% 0.22/0.54 = Xc )
% 0.22/0.54 & ( ( MEET @ Xa @ Xy )
% 0.22/0.54 = Xy )
% 0.22/0.54 & ( ( JOIN @ Xa @ Xy )
% 0.22/0.54 = Xa )
% 0.22/0.54 & ( ( MEET @ Xb @ Xc )
% 0.22/0.54 = Xy )
% 0.22/0.54 & ( ( JOIN @ Xb @ Xc )
% 0.22/0.54 = Xx )
% 0.22/0.55 & ( ( MEET @ Xb @ Xy )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xb @ Xy )
% 0.22/0.55 = Xb )
% 0.22/0.55 & ( ( MEET @ Xc @ Xy )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xc @ Xy )
% 0.22/0.55 = Xc ) )
% 0.22/0.55 & ~ ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 0.22/0.55 ( ( Xa != Xb )
% 0.22/0.55 & ( Xa != Xc )
% 0.22/0.55 & ( Xa != Xx )
% 0.22/0.55 & ( Xa != Xy )
% 0.22/0.55 & ( Xb != Xc )
% 0.22/0.55 & ( Xb != Xx )
% 0.22/0.55 & ( Xb != Xy )
% 0.22/0.55 & ( Xc != Xx )
% 0.22/0.55 & ( Xc != Xy )
% 0.22/0.55 & ( Xx != Xy )
% 0.22/0.55 & ( ( MEET @ Xx @ Xy )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xx @ Xy )
% 0.22/0.55 = Xx )
% 0.22/0.55 & ( ( MEET @ Xx @ Xa )
% 0.22/0.55 = Xa )
% 0.22/0.55 & ( ( JOIN @ Xx @ Xa )
% 0.22/0.55 = Xx )
% 0.22/0.55 & ( ( MEET @ Xx @ Xb )
% 0.22/0.55 = Xb )
% 0.22/0.55 & ( ( JOIN @ Xx @ Xb )
% 0.22/0.55 = Xx )
% 0.22/0.55 & ( ( MEET @ Xx @ Xc )
% 0.22/0.55 = Xc )
% 0.22/0.55 & ( ( JOIN @ Xx @ Xc )
% 0.22/0.55 = Xx )
% 0.22/0.55 & ( ( MEET @ Xa @ Xb )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xa @ Xb )
% 0.22/0.55 = Xx )
% 0.22/0.55 & ( ( MEET @ Xa @ Xc )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xa @ Xc )
% 0.22/0.55 = Xx )
% 0.22/0.55 & ( ( MEET @ Xa @ Xy )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xa @ Xy )
% 0.22/0.55 = Xa )
% 0.22/0.55 & ( ( MEET @ Xb @ Xc )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xb @ Xc )
% 0.22/0.55 = Xx )
% 0.22/0.55 & ( ( MEET @ Xb @ Xy )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xb @ Xy )
% 0.22/0.55 = Xb )
% 0.22/0.55 & ( ( MEET @ Xc @ Xy )
% 0.22/0.55 = Xy )
% 0.22/0.55 & ( ( JOIN @ Xc @ Xy )
% 0.22/0.55 = Xc ) ) ) ) ) ).
% 0.22/0.55
% 0.22/0.55 %------------------------------------------------------------------------------
% 0.22/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gjqyHihfwd/cvc5---1.0.5_30977.p...
% 0.22/0.55 (declare-sort $$unsorted 0)
% 0.22/0.55 (declare-sort tptp.a 0)
% 0.22/0.55 (assert (not (forall ((JOIN (-> tptp.a tptp.a tptp.a)) (MEET (-> tptp.a tptp.a tptp.a))) (=> (and (forall ((Xx tptp.a)) (= (@ (@ JOIN Xx) Xx) Xx)) (forall ((Xx tptp.a)) (= (@ (@ MEET Xx) Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ (@ JOIN (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ JOIN Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ (@ MEET (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ MEET Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN Xx) Xy) (@ (@ JOIN Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET Xx) Xy) (@ (@ MEET Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN (@ (@ MEET Xx) Xy)) Xy) Xy)) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET (@ (@ JOIN Xx) Xy)) Xy) Xy))) (= (and (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ _let_1 (@ (@ JOIN Xy) Xz)) (@ (@ JOIN (@ _let_1 Xy)) (@ _let_1 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ _let_1 (@ (@ MEET Xy) Xz)) (@ (@ MEET (@ _let_1 Xy)) (@ _let_1 Xz)))))) (and (not (exists ((Xx tptp.a) (Xy tptp.a) (Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (let ((_let_1 (@ JOIN Xb))) (let ((_let_2 (@ MEET Xb))) (let ((_let_3 (@ JOIN Xa))) (let ((_let_4 (@ MEET Xa))) (let ((_let_5 (@ JOIN Xx))) (let ((_let_6 (@ MEET Xx))) (and (not (= Xa Xb)) (not (= Xa Xc)) (not (= Xa Xx)) (not (= Xa Xy)) (not (= Xb Xc)) (not (= Xb Xx)) (not (= Xb Xy)) (not (= Xc Xx)) (not (= Xc Xy)) (not (= Xx Xy)) (= (@ _let_6 Xy) Xy) (= (@ _let_5 Xy) Xx) (= (@ _let_6 Xa) Xa) (= (@ _let_5 Xa) Xx) (= (@ _let_6 Xb) Xb) (= (@ _let_5 Xb) Xx) (= (@ _let_6 Xc) Xc) (= (@ _let_5 Xc) Xx) (= (@ _let_4 Xb) Xy) (= (@ _let_3 Xb) Xx) (= (@ _let_4 Xc) Xa) (= (@ _let_3 Xc) Xc) (= (@ _let_4 Xy) Xy) (= (@ _let_3 Xy) Xa) (= (@ _let_2 Xc) Xy) (= (@ _let_1 Xc) Xx) (= (@ _let_2 Xy) Xy) (= (@ _let_1 Xy) Xb) (= (@ (@ MEET Xc) Xy) Xy) (= (@ (@ JOIN Xc) Xy) Xc))/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 31832 Alarm clock ( read result; case "$result" in
% 299.69/300.18 unsat)
% 299.69/300.18 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.69/300.18 ;;
% 299.69/300.18 sat)
% 299.69/300.18 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.69/300.18 ;;
% 299.69/300.18 esac; exit 1 )
% 299.69/300.19 Alarm clock
% 299.69/300.19 % cvc5---1.0.5 exiting
% 299.69/300.19 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------