TSTP Solution File: SEV257^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV257^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 19:22:02 EDT 2023
% Result : Timeout 300.10s 300.26s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV257^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n005.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 03:22:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TH0
% 65.82/66.02 %------------------------------------------------------------------------------
% 65.82/66.02 % File : SEV257^5 : TPTP v8.1.2. Released v4.0.0.
% 65.82/66.02 % Domain : Set Theory (Sets of sets)
% 65.82/66.02 % Problem : TPS problem THM625
% 65.82/66.02 % Version : Especial.
% 65.82/66.02 % English : Empty sets are open in any topology.
% 65.82/66.02
% 65.82/66.02 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 65.82/66.02 % Source : [Bro09]
% 65.82/66.02 % Names : tps_0161 [Bro09]
% 65.82/66.02 % : THM625 [TPS]
% 65.82/66.02
% 65.82/66.02 % Status : Theorem
% 65.82/66.02 % Rating : 0.09 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.20 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.33 v6.1.0, 0.17 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.50 v5.3.0, 0.75 v5.0.0, 0.50 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 65.82/66.02 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 65.82/66.02 % Number of atoms : 9 ( 0 equ; 0 cnn)
% 65.82/66.02 % Maximal formula atoms : 9 ( 9 avg)
% 65.82/66.02 % Number of connectives : 21 ( 0 ~; 0 |; 5 &; 12 @)
% 65.82/66.02 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 65.82/66.02 % Maximal formula depth : 11 ( 11 avg)
% 65.82/66.02 % Number of types : 2 ( 1 usr)
% 65.82/66.02 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 65.82/66.02 % Number of symbols : 3 ( 1 usr; 2 con; 0-1 aty)
% 65.82/66.02 % Number of variables : 9 ( 4 ^; 4 !; 1 ?; 9 :)
% 65.82/66.02 % SPC : TH0_THM_NEQ_NAR
% 65.82/66.02
% 65.82/66.02 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 65.82/66.02 % project in the Department of Mathematical Sciences at Carnegie
% 65.82/66.02 % Mellon University. Distributed under the Creative Commons copyleft
% 65.82/66.02 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 65.82/66.02 % : Polymorphic definitions expanded.
% 65.82/66.02 %------------------------------------------------------------------------------
% 65.82/66.02 thf(a_type,type,
% 65.82/66.02 a: $tType ).
% 65.82/66.02
% 65.82/66.02 thf(cOPEN,type,
% 65.82/66.02 cOPEN: ( a > $o ) > $o ).
% 65.82/66.02
% 65.82/66.02 thf(cTHM625_pme,conjecture,
% 65.82/66.02 ( ( ( cOPEN
% 65.82/66.02 @ ^ [Xy: a] : $true )
% 65.82/66.02 & ! [K: ( a > $o ) > $o] :
% 65.82/66.02 ( ! [Xx: a > $o] :
% 65.82/66.02 ( ( K @ Xx )
% 65.82/66.02 => ( cOPEN @ Xx ) )
% 65.82/66.02 => ( cOPEN
% 65.82/66.02 @ ^ [Xx: a] :
% 65.82/66.02 ? [S: a > $o] :
% 65.82/66.02 ( ( K @ S )
% 65.82/66.02 & ( S @ Xx ) ) ) )
% 65.82/66.02 & ! [Y: a > $o,Z: a > $o] :
% 65.82/66.02 ( ( ( cOPEN @ Y )
% 65.82/66.02 & ( cOPEN @ Z ) )
% 65.82/66.02 => ( cOPEN
% 65.82/66.02 @ ^ [Xx: a] :
% 65.82/66.02 ( ( Y @ Xx )
% 65.82/66.02 & ( Z @ Xx ) ) ) ) )
% 65.82/66.02 => ( cOPEN
% 65.82/66.02 @ ^ [Xy: a] : $false ) ) ).
% 65.82/66.02
% 65.82/66.02 %------------------------------------------------------------------------------
% 65.82/66.02 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WjfNcfKQ07/cvc5---1.0.5_28096.p...
% 65.82/66.02 (declare-sort $$unsorted 0)
% 65.82/66.02 (declare-sort tptp.a 0)
% 65.82/66.02 (declare-fun tptp.cOPEN ((-> tptp.a Bool)) Bool)
% 65.82/66.02 (assert (not (=> (and (@ tptp.cOPEN (lambda ((Xy tptp.a)) true)) (forall ((K (-> (-> tptp.a Bool) Bool))) (=> (forall ((Xx (-> tptp.a Bool))) (=> (@ K Xx) (@ tptp.cOPEN Xx))) (@ tptp.cOPEN (lambda ((Xx tptp.a)) (exists ((S (-> tptp.a Bool))) (and (@ K S) (@ S Xx))))))) (forall ((Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (=> (and (@ tptp.cOPEN Y) (@ tptp.cOPEN Z)) (@ tptp.cOPEN (lambda ((Xx tptp.a)) (and (@ Y Xx) (@ Z Xx))))))) (@ tptp.cOPEN (lambda ((Xy tptp.a)) false)))))
% 65.82/66.02 (set-info :filename cvc5---1.0.5_28096)
% 65.82/66.02 (check-sat-assuming ( true ))
% 65.82/66.02 ------- get file name : TPTP file name is SEV257^5
% 65.82/66.02 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28096.smt2...
% 65.82/66.02 --- Run --ho-elim --full-saturate-quant at 10...
% 65.82/66.02 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 65.82/66.02 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 65.82/66.02 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 65.82/66.02 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 65.82/66.02 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 65.82/66.02 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 65.82/66.02 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 65.82/66.02 --- Run --no-ho-matching --full-saturate-quant --ho-elim-st/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 29390 Alarm clock ( read result; case "$result" in
% 300.10/300.26 unsat)
% 300.10/300.26 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.10/300.26 ;;
% 300.10/300.26 sat)
% 300.10/300.26 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.10/300.26 ;;
% 300.10/300.26 esac; exit 1 )
% 300.10/300.26 Alarm clock
% 300.10/300.26 % cvc5---1.0.5 exiting
% 300.10/300.27 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------