%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI742_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 : Wed Aug 30 17:31:57 EDT 2023

% Result   : Theorem 0.22s 0.54s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ARI742_1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n026.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   : Tue Aug 29 18:26:51 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_ARI
% 0.22/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.f60lHLTCnS/cvc5---1.0.5_30616.p...
% 0.22/0.54  ------- get file name : TPTP file name is ARI742_1
% 0.22/0.54  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30616.smt2...
% 0.22/0.54  --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.54  % SZS status Theorem for ARI742_1
% 0.22/0.54  % SZS output start Proof for ARI742_1
% 0.22/0.54  (
% 0.22/0.54  (let ((_let_1 (= (tptp.sqrt 0.0) 0.0))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X Real)) (=> (<= 0.0 X) (= (tptp.sqrt (* X X)) X))))) (let ((_let_4 (forall ((X Real)) (or (not (>= X 0)) (= X (tptp.sqrt (* X X))))))) (let ((_let_5 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_5 :args (0.0 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_4)))) :args ((or _let_1 (not _let_4)))) (ASSUME :args (_let_2)) _let_5 :args (false true _let_1 false _let_4)) :args ((forall ((X Real)) (= (tptp.sqr X) (* X X))) (forall ((X Real)) (=> (<= 0.0 X) (<= 0.0 (tptp.sqrt X)))) (forall ((X Real)) (=> (<= 0.0 X) (= (tptp.sqr (tptp.sqrt X)) X))) _let_3 (forall ((X Real) (Y Real)) (=> (and (<= 0.0 X) (<= 0.0 Y)) (= (tptp.sqrt (* X Y)) (* (tptp.sqrt X) (tptp.sqrt Y))))) (forall ((X Real) (Y Real)) (=> (and (<= 0.0 X) (<= X Y)) (<= (tptp.sqrt X) (tptp.sqrt Y)))) _let_2 true))))))))
% 0.22/0.54  )
% 0.22/0.54  % SZS output end Proof for ARI742_1
% 0.22/0.54  % cvc5---1.0.5 exiting
% 0.22/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------