TSTP Solution File: NUM781^3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM781^3 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 10:47:55 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM781^3 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n020.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 : Fri Aug 25 15:02:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 % File : NUM781^3 : TPTP v8.1.2. Released v5.1.0.
% 0.20/0.52 % Domain : Number Theory
% 0.20/0.52 % Problem : Landau theorem 79
% 0.20/0.52 % Version : Especial.
% 0.20/0.52 % English : Symmetry of equality.
% 0.20/0.52
% 0.20/0.52 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.20/0.52 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.52 % Source : [Bro09]
% 0.20/0.52 % Names : tps_0019 [Bro09]
% 0.20/0.52 % : THM76 [TPS]
% 0.20/0.52
% 0.20/0.52 % Status : Theorem
% 0.20/0.52 % Rating : 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v5.1.0
% 0.20/0.52 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.20/0.52 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.20/0.52 % Maximal formula atoms : 2 ( 2 avg)
% 0.20/0.52 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 0 @)
% 0.20/0.52 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.52 % Maximal formula depth : 2 ( 2 avg)
% 0.20/0.52 % Number of types : 1 ( 0 usr)
% 0.20/0.52 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.20/0.52 % Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% 0.20/0.52 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.20/0.52 % SPC : TH0_THM_EQU_NAR
% 0.20/0.52
% 0.20/0.52 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.52 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.52 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.52 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.52 % :
% 0.20/0.52 % : Renamed from SYO343^5
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 thf(cY,type,
% 0.20/0.52 cY: $i ).
% 0.20/0.52
% 0.20/0.52 thf(cX,type,
% 0.20/0.52 cX: $i ).
% 0.20/0.52
% 0.20/0.52 thf(cTHM76,conjecture,
% 0.20/0.52 ( ( cY = cX )
% 0.20/0.52 => ( cX = cY ) ) ).
% 0.20/0.52
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.5ygj1e8GiC/cvc5---1.0.5_11444.p...
% 0.20/0.52 (declare-sort $$unsorted 0)
% 0.20/0.52 (declare-fun tptp.cY () $$unsorted)
% 0.20/0.52 (declare-fun tptp.cX () $$unsorted)
% 0.20/0.52 (assert (not (=> (= tptp.cY tptp.cX) (= tptp.cX tptp.cY))))
% 0.20/0.52 (set-info :filename cvc5---1.0.5_11444)
% 0.20/0.52 (check-sat-assuming ( true ))
% 0.20/0.52 ------- get file name : TPTP file name is NUM781^3
% 0.20/0.52 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11444.smt2...
% 0.20/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for NUM781^3
% 0.20/0.52 % SZS output start Proof for NUM781^3
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (not (=> (= tptp.cY tptp.cX) (= tptp.cX tptp.cY))))) (let ((_let_2 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (CONTRA (NOT_IMPLIES_ELIM1 _let_2) (NOT_IMPLIES_ELIM2 _let_2)) :args (_let_1 true)))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for NUM781^3
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------