TSTP Solution File: SET062^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET062^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 14:37:16 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET062^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:18:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 % File : SET062^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.51 % Domain : Set Theory
% 0.20/0.51 % Problem : TPS problem BOOL-PROP-27
% 0.20/0.51 % Version : Especial.
% 0.20/0.51 % English : Trybulec's 27th Boolean property of sets.
% 0.20/0.51
% 0.20/0.51 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.20/0.51 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.51 % Source : [Bro09]
% 0.20/0.51 % Names : tps_0024 [Bro09]
% 0.20/0.51 % : BOOL-PROP-27 [TPS]
% 0.20/0.51
% 0.20/0.51 % Status : Theorem
% 0.20/0.51 % Rating : 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.20/0.51 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.20/0.51 % Number of atoms : 1 ( 0 equ; 0 cnn)
% 0.20/0.51 % Maximal formula atoms : 1 ( 1 avg)
% 0.20/0.51 % Number of connectives : 2 ( 0 ~; 0 |; 0 &; 1 @)
% 0.20/0.51 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.51 % Maximal formula depth : 5 ( 5 avg)
% 0.20/0.51 % Number of types : 2 ( 1 usr)
% 0.20/0.51 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.20/0.51 % Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% 0.20/0.51 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.20/0.51 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.51
% 0.20/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.51 % : Polymorphic definitions expanded.
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 thf(a_type,type,
% 0.20/0.51 a: $tType ).
% 0.20/0.51
% 0.20/0.51 thf(cBOOL_PROP_27_pme,conjecture,
% 0.20/0.51 ! [X: a > $o,Xx: a] :
% 0.20/0.51 ( $false
% 0.20/0.51 => ( X @ Xx ) ) ).
% 0.20/0.51
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.o5JAXu2anL/cvc5---1.0.5_29350.p...
% 0.20/0.51 (declare-sort $$unsorted 0)
% 0.20/0.51 (declare-sort tptp.a 0)
% 0.20/0.51 (assert (not (forall ((X (-> tptp.a Bool)) (Xx tptp.a)) (=> false (@ X Xx)))))
% 0.20/0.51 (set-info :filename cvc5---1.0.5_29350)
% 0.20/0.51 (check-sat-assuming ( true ))
% 0.20/0.51 ------- get file name : TPTP file name is SET062^5
% 0.20/0.51 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29350.smt2...
% 0.20/0.51 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.51 % SZS status Theorem for SET062^5
% 0.20/0.51 % SZS output start Proof for SET062^5
% 0.20/0.51 (
% 0.20/0.51 (let ((_let_1 (not (forall ((X (-> tptp.a Bool)) (Xx tptp.a)) (=> false (@ X Xx)))))) (SCOPE (SCOPE (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_1 true))))
% 0.20/0.51 )
% 0.20/0.51 % SZS output end Proof for SET062^5
% 0.20/0.51 % cvc5---1.0.5 exiting
% 0.20/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------