TSTP Solution File: SEV027^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV027^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 300.04s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEV027^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.18/0.36 % Computer : n008.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 24 02:46:18 EDT 2023
% 0.18/0.37 % CPUTime :
% 0.22/0.51 %----Proving TH0
% 0.22/0.52 %------------------------------------------------------------------------------
% 0.22/0.52 % File : SEV027^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.52 % Domain : Set Theory (Relations)
% 0.22/0.52 % Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.22/0.52 % Version : Especial.
% 0.22/0.52 % English :
% 0.22/0.52
% 0.22/0.52 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.52 % Source : [Bro09]
% 0.22/0.52 % Names : tps_1115 [Bro09]
% 0.22/0.52
% 0.22/0.52 % Status : Theorem
% 0.22/0.52 % Rating : 1.00 v8.1.0, 0.91 v7.5.0, 1.00 v4.0.0
% 0.22/0.52 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.22/0.52 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.22/0.52 % Maximal formula atoms : 3 ( 3 avg)
% 0.22/0.52 % Number of connectives : 46 ( 0 ~; 0 |; 9 &; 27 @)
% 0.22/0.52 % ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% 0.22/0.52 % Maximal formula depth : 15 ( 15 avg)
% 0.22/0.52 % Number of types : 2 ( 1 usr)
% 0.22/0.52 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.22/0.52 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.22/0.52 % Number of variables : 21 ( 1 ^; 16 !; 4 ?; 21 :)
% 0.22/0.52 % SPC : TH0_THM_EQU_NAR
% 0.22/0.52
% 0.22/0.52 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.52 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.52 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.52 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.52 %------------------------------------------------------------------------------
% 0.22/0.52 thf(a_type,type,
% 0.22/0.52 a: $tType ).
% 0.22/0.52
% 0.22/0.52 thf(cTHM262_EXT_pme,conjecture,
% 0.22/0.52 ( ! [Xp: a > $o,Xa: a > $o] :
% 0.22/0.52 ( ! [Xb: a] :
% 0.22/0.52 ( ( Xp @ Xb )
% 0.22/0.52 = ( Xa @ Xb ) )
% 0.22/0.52 => ! [P: ( a > $o ) > $o] :
% 0.22/0.52 ( ( P @ Xp )
% 0.22/0.52 => ( P @ Xa ) ) )
% 0.22/0.52 => ! [P: ( a > $o ) > $o] :
% 0.22/0.52 ( ( ! [Xp: a > $o] :
% 0.22/0.52 ( ( P @ Xp )
% 0.22/0.52 => ? [Xz: a] : ( Xp @ Xz ) )
% 0.22/0.52 & ! [Xx: a] :
% 0.22/0.52 ? [Xp: a > $o] :
% 0.22/0.52 ( ( P @ Xp )
% 0.22/0.52 & ( Xp @ Xx )
% 0.22/0.52 & ! [Xq: a > $o] :
% 0.22/0.52 ( ( ( P @ Xq )
% 0.22/0.52 & ( Xq @ Xx ) )
% 0.22/0.52 => ( Xq = Xp ) ) ) )
% 0.22/0.52 => ? [Q: a > a > $o] :
% 0.22/0.52 ( ! [Xx: a] : ( Q @ Xx @ Xx )
% 0.22/0.52 & ! [Xx: a,Xy: a] :
% 0.22/0.52 ( ( Q @ Xx @ Xy )
% 0.22/0.52 => ( Q @ Xy @ Xx ) )
% 0.22/0.52 & ! [Xx: a,Xy: a,Xz: a] :
% 0.22/0.52 ( ( ( Q @ Xx @ Xy )
% 0.22/0.52 & ( Q @ Xy @ Xz ) )
% 0.22/0.52 => ( Q @ Xx @ Xz ) )
% 0.22/0.52 & ( ( ^ [Xs: a > $o] :
% 0.22/0.52 ( ? [Xz: a] : ( Xs @ Xz )
% 0.22/0.52 & ! [Xx: a] :
% 0.22/0.52 ( ( Xs @ Xx )
% 0.22/0.52 => ! [Xy: a] :
% 0.22/0.52 ( ( Xs @ Xy )
% 0.22/0.52 <=> ( Q @ Xx @ Xy ) ) ) ) )
% 0.22/0.52 = P ) ) ) ) ).
% 0.22/0.52
% 0.22/0.52 %------------------------------------------------------------------------------
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.r7vAxKXAzY/cvc5---1.0.5_31582.p...
% 0.22/0.52 (declare-sort $$unsorted 0)
% 0.22/0.52 (declare-sort tptp.a 0)
% 0.22/0.52 (assert (not (=> (forall ((Xp (-> tptp.a Bool)) (Xa (-> tptp.a Bool))) (=> (forall ((Xb tptp.a)) (= (@ Xp Xb) (@ Xa Xb))) (forall ((P (-> (-> tptp.a Bool) Bool))) (=> (@ P Xp) (@ P Xa))))) (forall ((P (-> (-> tptp.a Bool) Bool))) (=> (and (forall ((Xp (-> tptp.a Bool))) (=> (@ P Xp) (exists ((Xz tptp.a)) (@ Xp Xz)))) (forall ((Xx tptp.a)) (exists ((Xp (-> tptp.a Bool))) (and (@ P Xp) (@ Xp Xx) (forall ((Xq (-> tptp.a Bool))) (=> (and (@ P Xq) (@ Xq Xx)) (= Xq Xp))))))) (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))))))) P))))))))
% 0.22/0.52 (set-info :filename cvc5---1.0.5_31582)
% 0.22/0.52 (check-sat-assuming ( true ))
% 0.22/0.52 ------- get file name : TPTP file name is/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 32523 Alarm clock ( read result; case "$result" in
% 300.04/300.31 unsat)
% 300.04/300.31 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.04/300.31 ;;
% 300.04/300.31 sat)
% 300.04/300.31 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.04/300.31 ;;
% 300.04/300.31 esac; exit 1 )
% 300.04/300.32 Alarm clock
% 300.04/300.32 % cvc5---1.0.5 exiting
% 300.04/300.32 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------