%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI582_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 17:31:22 EDT 2023

% Result   : Theorem 0.21s 0.52s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI582_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.35  % Computer : n008.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Tue Aug 29 18:48:17 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_ARI
% 0.21/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.qvE4HdbABs/cvc5---1.0.5_27786.p...
% 0.21/0.52  ------- get file name : TPTP file name is ARI582_1
% 0.21/0.52  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27786.smt2...
% 0.21/0.52  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.52  % SZS status Theorem for ARI582_1
% 0.21/0.52  % SZS output start Proof for ARI582_1
% 0.21/0.52  (
% 0.21/0.52  (let ((_let_1 (not (forall ((X Int) (Y Int)) (=> (< X Y) (exists ((Z Int)) (and (< (* X 2) Z) (< Z (* Y 2))))))))) (let ((_let_2 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 0))) (let ((_let_3 (forall ((Z Int)) (or (not (>= (+ Z (* (- 2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 1)) (>= (+ Z (* (- 2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 0))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (or _let_2 _let_4))) (let ((_let_6 (forall ((X Int) (Y Int)) (or (>= (+ X (* (- 1) Y)) 0) (not (forall ((Z Int)) (let ((_let_1 (* (- 1) Z))) (or (>= (+ (* 2 X) _let_1) 0) (not (>= (+ (* 2 Y) _let_1) 1)))))))))) (let ((_let_7 (not _let_5))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_9 (or))) (let ((_let_10 (not _let_6))) (let ((_let_11 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_8) :args (_let_10)) (REWRITE :args ((=> _let_10 (not (or _let_2 (not (forall ((Z Int)) (let ((_let_1 (* (- 1) Z))) (or (>= (+ (* 2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_1) 0) (not (>= (+ (* 2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_1) 1))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_6))) (REFL :args (_let_7)) :args _let_9)) _let_8 :args (_let_7 true _let_6)))) (let ((_let_12 (_let_5))) (let ((_let_13 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_13) :args ((+ (- 1) (* 2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) QUANTIFIERS_INST_CEGQI)) :args _let_13))) :args _let_12) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_5 1)) (CONG (REFL :args _let_12) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_9)) :args ((or _let_3 _let_5))) _let_11 :args (_let_3 true _let_5)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_5 0)) _let_11 :args ((not _let_2) true _let_5)) :args (false false _let_3 true _let_2)) :args (_let_1 true))))))))))))))))
% 0.21/0.52  )
% 0.21/0.52  % SZS output end Proof for ARI582_1
% 0.21/0.52  % cvc5---1.0.5 exiting
% 0.21/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------