%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI609_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 17:31:28 EDT 2023

% Result   : Theorem 15.19s 15.44s
% Output   : Proof 15.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem    : ARI609_1 : TPTP v8.1.2. Released v5.1.0.
% 0.05/0.09  % Command    : do_cvc5 %s %d
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit   : 300
% 0.10/0.28  % WCLimit    : 300
% 0.10/0.28  % DateTime   : Tue Aug 29 17:54:31 EDT 2023
% 0.10/0.28  % CPUTime    : 
% 0.14/0.37  %----Proving TF0_ARI
% 15.19/15.44  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jVJDiElVbK/cvc5---1.0.5_9870.p...
% 15.19/15.44  ------- get file name : TPTP file name is ARI609_1
% 15.19/15.44  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9870.smt2...
% 15.19/15.44  --- Run --finite-model-find --decision=internal at 15...
% 15.19/15.44  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.19/15.44  % SZS status Theorem for ARI609_1
% 15.19/15.44  % SZS output start Proof for ARI609_1
% 15.19/15.44  (
% 15.19/15.44  (let ((_let_1 (tptp.f tptp.b))) (let ((_let_2 (tptp.f tptp.a))) (let ((_let_3 (not (=> (and (forall ((X Int) (Y Int)) (=> (<= X Y) (<= (tptp.f X) (tptp.f Y)))) (<= 0 (+ tptp.a (- tptp.b)))) (<= 0 (+ _let_2 (- _let_1))))))) (let ((_let_4 (forall ((X Int) (Y Int)) (or (>= (+ X (* (- 1) Y)) 1) (not (>= (+ (tptp.f X) (* (- 1) (tptp.f Y))) 1)))))) (let ((_let_5 (>= (+ _let_2 (* (- 1) _let_1)) 0))) (let ((_let_6 (>= (+ tptp.a (* (- 1) tptp.b)) 0))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (NOT_IMPLIES_ELIM1 _let_9))) (let ((_let_11 (not _let_8))) (let ((_let_12 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_12) :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.f X) (tptp.f Y)))) :args _let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_11))) (NOT_IMPLIES_ELIM2 _let_9) (AND_ELIM _let_10 :args (1)) :args (_let_11 true _let_5 false _let_6)) (AND_ELIM _let_10 :args (0)) :args (false true _let_8 false _let_4)) :args (_let_3 true)))))))))))))))
% 15.19/15.44  )
% 15.19/15.44  % SZS output end Proof for ARI609_1
% 15.19/15.44  % cvc5---1.0.5 exiting
% 15.19/15.44  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------