%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT067_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 22:10:29 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    : DAT067_1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n006.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   : Thu Aug 24 13:55:22 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_ARI
% 0.22/0.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VsM2me2Lwe/cvc5---1.0.5_8415.p...
% 0.22/0.54  ------- get file name : TPTP file name is DAT067_1
% 0.22/0.54  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8415.smt2...
% 0.22/0.54  --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.54  % SZS status Theorem for DAT067_1
% 0.22/0.54  % SZS output start Proof for DAT067_1
% 0.22/0.54  (
% 0.22/0.54  (let ((_let_1 (forall ((N Int) (M Int) (H tptp.heap)) (or (= (tptp.sel (tptp.app H N) M) (tptp.sel H M)) (= M (+ 1 (tptp.length H))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((N Int) (H tptp.heap) (M Int)) (=> (not (= M (+ 1 (tptp.length H)))) (= (tptp.sel (tptp.app H N) M) (tptp.sel H M)))))) (let ((_let_4 (forall ((N Int) (H tptp.heap) (M Int)) (or (= M (+ 1 (tptp.length H))) (= (tptp.sel (tptp.app H N) M) (tptp.sel H M)))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (THEORY_LEMMA :args ((= _let_4 _let_1) THEORY_QUANTIFIERS)))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) :args (_let_1 false _let_4)) :args (false false _let_1)) :args ((forall ((M Int)) (= (tptp.sel tptp.empty M) 0)) (forall ((H tptp.heap) (M Int) (N Int)) (=> (= M (+ 1 (tptp.length H))) (= (tptp.sel (tptp.app H N) M) N))) _let_3 (forall ((N Int) (H tptp.heap)) (= (tptp.get (tptp.app H N)) H)) (forall ((H tptp.heap) (N Int)) (= (tptp.toop (tptp.app H N)) N)) (forall ((H tptp.heap) (H0 tptp.heap) (N Int) (N0 Int)) (= (= (tptp.app H N) (tptp.app H0 N0)) (and (= H H0) (= N N0)))) (forall ((H tptp.heap) (N Int)) (not (= tptp.empty (tptp.app H N)))) (forall ((H tptp.heap)) (or (= H tptp.empty) (= H (tptp.app (tptp.get H) (tptp.toop H))))) (= (tptp.length tptp.empty) 0) (forall ((N Int) (H tptp.heap)) (= (tptp.length (tptp.app H N)) (+ 1 (tptp.length H)))) (forall ((H tptp.heap)) (not (tptp.lsls H H))) (forall ((H0 tptp.heap) (H tptp.heap) (H1 tptp.heap)) (=> (and (tptp.lsls H H0) (tptp.lsls H0 H1)) (tptp.lsls H H1))) (forall ((H tptp.heap)) (not (tptp.lsls H tptp.empty))) (forall ((N Int) (H0 tptp.heap) (H tptp.heap)) (= (tptp.lsls H0 (tptp.app H N)) (or (= H0 H) (tptp.lsls H0 H)))) _let_2 true)))))))
% 0.22/0.54  )
% 0.22/0.54  % SZS output end Proof for DAT067_1
% 0.22/0.54  % cvc5---1.0.5 exiting
% 0.22/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------