TSTP Solution File: SEV161^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV161^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 19:21:44 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
% 0.00/0.12 % Problem : SEV161^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 02:35:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 % File : SEV161^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.51 % Domain : Set Theory
% 0.20/0.51 % Problem : TPS problem THM183
% 0.20/0.51 % Version : Especial.
% 0.20/0.51 % English : Basic theorem about pairing.
% 0.20/0.51
% 0.20/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.51 % Source : [Bro09]
% 0.20/0.51 % Names : tps_0071 [Bro09]
% 0.20/0.51 % : THM183 [TPS]
% 0.20/0.51
% 0.20/0.51 % Status : Theorem
% 0.20/0.51 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.20/0.51 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.20/0.51 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.20/0.51 % Maximal formula atoms : 0 ( 0 avg)
% 0.20/0.51 % Number of connectives : 5 ( 0 ~; 0 |; 0 &; 4 @)
% 0.20/0.51 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.51 % Maximal formula depth : 7 ( 7 avg)
% 0.20/0.51 % Number of types : 2 ( 1 usr)
% 0.20/0.51 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.20/0.51 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.51 % Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% 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(cTHM183_pme,conjecture,
% 0.20/0.51 ! [Xr: a > a > $o,Xx: a,Xy: a] :
% 0.20/0.51 ( ( Xr @ Xx @ Xy )
% 0.20/0.51 <=> ( Xr @ Xx @ Xy ) ) ).
% 0.20/0.51
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jPG9wfdKXv/cvc5---1.0.5_3908.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 ((Xr (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a)) (let ((_let_1 (@ (@ Xr Xx) Xy))) (= _let_1 _let_1)))))
% 0.20/0.51 (set-info :filename cvc5---1.0.5_3908)
% 0.20/0.51 (check-sat-assuming ( true ))
% 0.20/0.51 ------- get file name : TPTP file name is SEV161^5
% 0.20/0.51 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3908.smt2...
% 0.20/0.51 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.51 % SZS status Theorem for SEV161^5
% 0.20/0.51 % SZS output start Proof for SEV161^5
% 0.20/0.51 (
% 0.20/0.51 (let ((_let_1 (not (forall ((Xr (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a)) (let ((_let_1 (@ (@ Xr Xx) Xy))) (= _let_1 _let_1)))))) (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 SEV161^5
% 0.20/0.51 % cvc5---1.0.5 exiting
% 0.20/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------