TSTP Solution File: ARI595_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI595_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 17:31:25 EDT 2023

% Result   : Theorem 30.36s 30.57s
% Output   : Proof 30.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ARI595_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n015.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 18:26:41 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.23/0.50  %----Proving TF0_ARI
% 30.36/30.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WeEM1qnUe9/cvc5---1.0.5_8469.p...
% 30.36/30.57  ------- get file name : TPTP file name is ARI595_1
% 30.36/30.57  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8469.smt2...
% 30.36/30.57  --- Run --finite-model-find --decision=internal at 15...
% 30.36/30.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 30.36/30.57  --- Run --no-e-matching --full-saturate-quant at 15...
% 30.36/30.57  --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 30.36/30.57  % SZS status Theorem for ARI595_1
% 30.36/30.57  % SZS output start Proof for ARI595_1
% 30.36/30.57  (
% 30.36/30.57  (let ((_let_1 (not (=> (forall ((Z Int)) (=> (and (<= tptp.a Z) (<= Z (+ tptp.a 2))) (tptp.p Z))) (exists ((X Int)) (tptp.p (* 3 X))))))) (let ((_let_2 (forall ((Z Int)) (let ((_let_1 (+ tptp.a (* (- 1) Z)))) (or (>= _let_1 1) (not (>= _let_1 (- 2))) (tptp.p Z)))))) (let ((_let_3 (* 3 intDiv_9))) (let ((_let_4 (tptp.p _let_3))) (let ((_let_5 (+ tptp.a (* (- 3) intDiv_9)))) (let ((_let_6 (>= _let_5 (- 2)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (>= _let_5 1))) (let ((_let_9 (or _let_8 _let_7 _let_4))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (+ 2 tptp.a))) (let ((_let_13 ((and (<= _let_3 _let_12) (< _let_12 (* 3 (+ intDiv_9 1))))))) (let ((_let_14 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_13) (REWRITE :args _let_13)))) (let ((_let_15 (forall ((X Int)) (not (tptp.p (* 3 X)))))) (let ((_let_16 (div _let_12 3))) (let ((_let_17 (_let_15))) (let ((_let_18 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_18) :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p Z) true))))) :args _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_4 _let_8 _let_7 _let_11))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_17) :args (_let_16 QUANTIFIERS_INST_E_MATCHING_VAR_GEN ((not (= (tptp.p (* 3 X)) false))))) :args _let_17) (CONG (REFL :args _let_17) (CONG (CONG (CONG (REFL :args (3)) (THEORY_PREPROCESS :args ((= _let_16 intDiv_9))) :args (*)) :args (APPLY_UF tptp.p)) :args (not)) :args (=>)))) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_10)) :args ((not _let_4) false _let_15)) (AND_ELIM _let_14 :args (1)) (AND_ELIM _let_14 :args (0)) :args (_let_11 true _let_4 true _let_8 false _let_6)) (NOT_IMPLIES_ELIM1 _let_10) :args (false true _let_9 false _let_2)) :args (_let_1 true)))))))))))))))))))))
% 30.36/30.57  )
% 30.36/30.57  % SZS output end Proof for ARI595_1
% 30.36/30.57  % cvc5---1.0.5 exiting
% 30.36/30.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------