TSTP Solution File: SEV051^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV051^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 19:21:26 EDT 2023
% Result : Theorem 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV051^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 02:35:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TH0
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 % File : SEV051^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.50 % Domain : Set Theory (Relations)
% 0.20/0.50 % Problem : TPS problem THM557
% 0.20/0.50 % Version : Especial.
% 0.20/0.50 % English : Equality is an LC-relation.
% 0.20/0.50
% 0.20/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.50 % Source : [Bro09]
% 0.20/0.50 % Names : tps_0210 [Bro09]
% 0.20/0.50 % : THM557 [TPS]
% 0.20/0.50
% 0.20/0.50 % Status : Theorem
% 0.20/0.50 % Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.20/0.50 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.20/0.50 % Number of atoms : 4 ( 4 equ; 0 cnn)
% 0.20/0.50 % Maximal formula atoms : 4 ( 4 avg)
% 0.20/0.50 % Number of connectives : 3 ( 0 ~; 0 |; 2 &; 0 @)
% 0.20/0.50 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.50 % Maximal formula depth : 7 ( 7 avg)
% 0.20/0.50 % Number of types : 1 ( 1 usr)
% 0.20/0.50 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.20/0.50 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.20/0.50 % Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% 0.20/0.50 % SPC : TH0_THM_EQU_NAR
% 0.20/0.50
% 0.20/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.50 % : Polymorphic definitions expanded.
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 thf(a_type,type,
% 0.20/0.50 a: $tType ).
% 0.20/0.50
% 0.20/0.50 thf(cTHM557_pme,conjecture,
% 0.20/0.50 ( ! [Xx: a] : ( Xx = Xx )
% 0.20/0.50 & ! [Xu: a,Xv: a,Xw: a] :
% 0.20/0.50 ( ( ( Xu = Xw )
% 0.20/0.50 & ( Xv = Xw ) )
% 0.20/0.50 => ( Xu = Xv ) ) ) ).
% 0.20/0.50
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PNDs5GGWII/cvc5---1.0.5_25015.p...
% 0.20/0.50 (declare-sort $$unsorted 0)
% 0.20/0.50 (declare-sort tptp.a 0)
% 0.20/0.50 (assert (not (and (forall ((Xx tptp.a)) (= Xx Xx)) (forall ((Xu tptp.a) (Xv tptp.a) (Xw tptp.a)) (=> (and (= Xu Xw) (= Xv Xw)) (= Xu Xv))))))
% 0.20/0.50 (set-info :filename cvc5---1.0.5_25015)
% 0.20/0.50 (check-sat-assuming ( true ))
% 0.20/0.50 ------- get file name : TPTP file name is SEV051^5
% 0.20/0.50 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25015.smt2...
% 0.20/0.50 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.50 % SZS status Theorem for SEV051^5
% 0.20/0.50 % SZS output start Proof for SEV051^5
% 0.20/0.50 (
% 0.20/0.50 (let ((_let_1 (not (and (forall ((Xx tptp.a)) (= Xx Xx)) (forall ((Xu tptp.a) (Xv tptp.a) (Xw tptp.a)) (=> (and (= Xu Xw) (= Xv Xw)) (= Xu Xv))))))) (SCOPE (SCOPE (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_1 true))))
% 0.20/0.50 )
% 0.20/0.50 % SZS output end Proof for SEV051^5
% 0.20/0.50 % cvc5---1.0.5 exiting
% 0.20/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------