TSTP Solution File: ANA139_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA139_1 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 17:14:57 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA139_1 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 18:58:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_ARI
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Hs6359Awe4/cvc5---1.0.5_3130.p...
% 0.21/0.54 ------- get file name : TPTP file name is ANA139_1
% 0.21/0.54 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3130.smt2...
% 0.21/0.54 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.54 % SZS status Theorem for ANA139_1
% 0.21/0.54 % SZS output start Proof for ANA139_1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (forall ((Epsilon Real)) (=> (< 0.0 Epsilon) (exists ((Delta Real)) (and (< 0.0 Delta) (forall ((X Real)) (let ((_let_1 (- tptp.c tptp.c))) (let ((_let_2 (>= _let_1 0.0))) (let ((_let_3 (- X tptp.a))) (let ((_let_4 (>= _let_3 0.0))) (=> (and (not (= X tptp.a)) (=> _let_4 (< _let_3 Delta)) (=> (not _let_4) (< (- _let_3) Delta))) (and (=> _let_2 (< _let_1 Epsilon)) (=> (not _let_2) (< (- _let_1) Epsilon)))))))))))))))) (let ((_let_2 (forall ((Delta Real)) (or (>= (* (- 1) Delta) 0) (and (>= (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) 0) (not (forall ((X Real)) (let ((_let_1 (* (- 1) Delta))) (let ((_let_2 (* (- 1) tptp.a))) (let ((_let_3 (>= (+ _let_2 X) 0))) (or (= tptp.a X) (and _let_3 (>= (+ _let_2 _let_1 X) 0)) (and (not _let_3) (>= (+ tptp.a _let_1 (* (- 1) X)) 0))))))))))))) (let ((_let_3 (>= (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) 0))) (let ((_let_4 (and _let_3 (not (forall ((X Real)) (let ((_let_1 (* (- 1) delta_free_12))) (let ((_let_2 (* (- 1) tptp.a))) (let ((_let_3 (>= (+ _let_2 X) 0))) (or (= tptp.a X) (and _let_3 (>= (+ _let_2 X _let_1) 0)) (and (not _let_3) (>= (+ tptp.a (* (- 1) X) _let_1) 0))))))))))) (let ((_let_5 (not _let_2))) (let ((_let_6 (or _let_3 _let_5))) (let ((_let_7 (forall ((Epsilon Real)) (or (>= (* (- 1) Epsilon) 0) (not (forall ((Delta Real)) (or (>= (* (- 1) Delta) 0) (and (>= (* (- 1) Epsilon) 0) (not (forall ((X Real)) (let ((_let_1 (* (- 1) Delta))) (let ((_let_2 (* (- 1) tptp.a))) (let ((_let_3 (>= (+ _let_2 X) 0))) (or (= tptp.a X) (and _let_3 (>= (+ _let_2 _let_1 X) 0)) (and (not _let_3) (>= (+ tptp.a _let_1 (* (- 1) X)) 0)))))))))))))))) (let ((_let_8 (not _let_6))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (or))) (let ((_let_11 (not _let_7))) (let ((_let_12 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_9) :args (_let_11))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))) (REFL :args (_let_8)) :args _let_10)) _let_9 :args (_let_8 true _let_7)))) (let ((_let_13 (not _let_4))) (let ((_let_14 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (EQ_RESOLVE (INSTANTIATE (ASSUME :args _let_14) :args (delta_13 QUANTIFIERS_INST_CEGQI)) (THEORY_PREPROCESS :args ((= (or (>= (* (- 1) delta_13) 0) (and _let_3 (not (forall ((X Real)) (let ((_let_1 (* (- 1) delta_13))) (let ((_let_2 (* (- 1) tptp.a))) (let ((_let_3 (>= (+ _let_2 X) 0))) (or (= tptp.a X) (and _let_3 (>= (+ _let_2 _let_1 X) 0)) (and (not _let_3) (>= (+ tptp.a _let_1 (* (- 1) X)) 0)))))))))) (or (> 0 0) _let_4))))) :args _let_14))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_4 0)) :args ((or _let_3 _let_13))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_6 0)) _let_12 :args ((not _let_3) true _let_6)) :args (_let_13 true _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_6 1)) (CONG (REFL :args (_let_6)) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_2))) :args _let_10)) :args ((or _let_2 _let_6))) _let_12 :args (_let_2 true _let_6)) :args (false true _let_4 false _let_2)) :args (_let_1 true)))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for ANA139_1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------