%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT071_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 15.32s 15.58s
% Output   : Proof 15.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : DAT071_1 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 15:08:17 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_ARI
% 15.32/15.58  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.NC2D1Vep7E/cvc5---1.0.5_1163.p...
% 15.32/15.58  ------- get file name : TPTP file name is DAT071_1
% 15.32/15.58  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1163.smt2...
% 15.32/15.58  --- Run --finite-model-find --decision=internal at 15...
% 15.32/15.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.32/15.58  % SZS status Theorem for DAT071_1
% 15.32/15.58  % SZS output start Proof for DAT071_1
% 15.32/15.58  (
% 15.32/15.58  (let ((_let_1 (not (forall ((A tptp.array) (N Int) (W1 Int) (W2 Int)) (=> (and (forall ((I Int)) (=> (and (> N I) (>= I 0)) (<= (tptp.read A I) W1))) (exists ((I Int)) (and (> N I) (>= I 0) (= (tptp.read A I) W1))) (forall ((I Int)) (=> (and (> N I) (>= I 0)) (<= (tptp.read A I) W2))) (exists ((I Int)) (and (> N I) (>= I 0) (= (tptp.read A I) W2)))) (= W1 W2)))))) (let ((_let_2 (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_3 (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (= _let_3 _let_2))) (let ((_let_5 (+ _let_3 (* (- 1) _let_2)))) (let ((_let_6 (>= _let_5 0))) (let ((_let_7 (>= _let_5 1))) (let ((_let_8 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0))) (let ((_let_9 (not _let_8))) (let ((_let_10 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 1))) (let ((_let_11 (not _let_10))) (let ((_let_12 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 0))) (let ((_let_13 (not _let_12))) (let ((_let_14 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 1))) (let ((_let_15 (not _let_14))) (let ((_let_16 (forall ((I Int)) (or (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) 0) (not (>= I 0)) (not (>= (+ (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 I) (* (- 1) (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) 1)))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (forall ((I Int)) (or (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) 0) (not (>= I 0)) (not (>= (+ (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 I) (* (- 1) (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) 1)))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_4 _let_15 _let_13 _let_11 _let_9))) (let ((_let_21 (not _let_4))) (let ((_let_22 (forall ((A tptp.array) (N Int) (BOUND_VARIABLE_1103 Int) (BOUND_VARIABLE_1091 Int)) (or (not (forall ((I Int)) (or (not (>= (+ N (* (- 1) I)) 1)) (not (>= I 0)) (not (>= (+ (tptp.read A I) (* (- 1) (tptp.read A BOUND_VARIABLE_1091))) 1))))) (not (forall ((I Int)) (or (not (>= (+ N (* (- 1) I)) 1)) (not (>= I 0)) (not (>= (+ (tptp.read A I) (* (- 1) (tptp.read A BOUND_VARIABLE_1103))) 1))))) (= (tptp.read A BOUND_VARIABLE_1091) (tptp.read A BOUND_VARIABLE_1103)) (not (>= (+ N (* (- 1) BOUND_VARIABLE_1091)) 1)) (not (>= BOUND_VARIABLE_1091 0)) (not (>= (+ N (* (- 1) BOUND_VARIABLE_1103)) 1)) (not (>= BOUND_VARIABLE_1103 0)))))) (let ((_let_23 (not _let_20))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_24) :args (_let_26)) (REWRITE :args ((=> _let_26 (not (or (not (forall ((I Int)) (or (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) I)) 1)) (not (>= I 0)) (not (>= (+ (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 I) (* (- 1) (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) 1))))) (not (forall ((I Int)) (or (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) I)) 1)) (not (>= I 0)) (not (>= (+ (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 I) (* (- 1) (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) 1))))) _let_4 _let_15 _let_13 _let_11 _let_9))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (or _let_11 _let_9 _let_6))) (let ((_let_29 (REFL :args (_let_20)))) (let ((_let_30 (_let_18))) (let ((_let_31 (not _let_7))) (let ((_let_32 (or _let_15 _let_13 _let_31))) (let ((_let_33 (_let_16))) (let ((_let_34 (> _let_5 0))) (let ((_let_35 (ASSUME :args (_let_31)))) (let ((_let_36 (ASSUME :args (_let_6)))) (let ((_let_37 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_35 _let_37 _let_36) :args (_let_21 _let_31 _let_6)) (SCOPE (CONTRA (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_37 :args ((not (= _let_5 0)))) _let_36 :args (_let_34)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_35 :args ((< _let_5 1)))) :args ((not _let_34)))) :args (_let_31 _let_21 _let_6)) :args ((not (and _let_21 _let_31 _let_6)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_4))) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_7))) (REFL :args ((not _let_6))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_15 _let_13 _let_31 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 3)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_25)) :args ((or _let_14 _let_20))) _let_27 :args (_let_14 true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 4)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_25)) :args ((or _let_12 _let_20))) _let_27 :args (_let_12 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 I)))) :args _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_25)) :args ((or _let_16 _let_20))) _let_27 :args (_let_16 true _let_20)) :args (_let_32 false _let_16)) :args (_let_31 false _let_14 false _let_12 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_11 _let_9 _let_6 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 5)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_25)) :args ((or _let_10 _let_20))) _let_27 :args (_let_10 true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 6)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_25)) :args ((or _let_8 _let_20))) _let_27 :args (_let_8 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 I)))) :args _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_25)) :args ((or _let_18 _let_20))) _let_27 :args (_let_18 true _let_20)) :args (_let_28 false _let_18)) :args (_let_6 false _let_10 false _let_8 false _let_28)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 2)) _let_27 :args (_let_21 true _let_20)) :args (false true _let_7 false _let_6 true _let_4)) :args ((forall ((A tptp.array) (I Int) (V Int)) (= (tptp.read (tptp.write A I V) I) V)) (forall ((A tptp.array) (I Int) (J Int) (V Int)) (or (= I J) (= (tptp.read (tptp.write A I V) J) (tptp.read A J)))) (forall ((A tptp.array) (B tptp.array)) (=> (forall ((I Int)) (= (tptp.read A I) (tptp.read B I))) (= A B))) (forall ((V Int) (I Int)) (= (tptp.read (tptp.init V) I) V)) (forall ((A tptp.array) (N Int) (W Int)) (=> (and (forall ((I Int)) (=> (and (> N I) (>= I 0)) (<= (tptp.read A I) W))) (exists ((I Int)) (and (> N I) (>= I 0) (= (tptp.read A I) W)))) (= (tptp.max A N) W))) (forall ((A tptp.array) (N Int)) (= (tptp.sorted A N) (forall ((I Int) (J Int)) (=> (and (<= 0 I) (< I N) (< I J) (< J N)) (<= (tptp.read A I) (tptp.read A J)))))) (forall ((A tptp.array) (R Int) (N Int)) (= (tptp.inRange A R N) (forall ((I Int)) (let ((_let_1 (tptp.read A I))) (=> (and (> N I) (>= I 0)) (and (>= R _let_1) (>= _let_1 0))))))) (forall ((A tptp.array) (N Int)) (= (tptp.distinct A N) (forall ((I Int) (J Int)) (=> (and (> N I) (> N J) (>= J 0) (>= I 0)) (=> (= (tptp.read A I) (tptp.read A J)) (= I J)))))) (forall ((A tptp.array) (B tptp.array) (N Int)) (=> (forall ((I Int)) (let ((_let_1 (tptp.read B I))) (or (and (>= I 0) (> N I) (= _let_1 (tptp.read A (- N (+ I 1))))) (and (or (> 0 I) (>= I N)) (= _let_1 (tptp.read A I)))))) (= (tptp.rev A N) B))) _let_1 true))))))))))))))))))))))))))))))))))))))))
% 15.32/15.58  )
% 15.32/15.58  % SZS output end Proof for DAT071_1
% 15.32/15.58  % cvc5---1.0.5 exiting
% 15.32/15.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------