TSTP Solution File: SWW639_2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW639_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 : Fri Sep  1 00:21:47 EDT 2023

% Result   : Theorem 16.26s 16.49s
% Output   : Proof 16.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWW639_2 : TPTP v8.1.2. Released v6.1.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 20:59:22 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_ARI
% 16.26/16.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EXHLD4vqX5/cvc5---1.0.5_17464.p...
% 16.26/16.49  ------- get file name : TPTP file name is SWW639_2
% 16.26/16.49  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17464.smt2...
% 16.26/16.49  --- Run --finite-model-find --decision=internal at 15...
% 16.26/16.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 16.26/16.49  % SZS status Theorem for SWW639_2
% 16.26/16.49  % SZS output start Proof for SWW639_2
% 16.26/16.49  (
% 16.26/16.49  (let ((_let_1 (tptp.t2tb 0))) (let ((_let_2 (tptp.make3 tptp.int 10 _let_1))) (let ((_let_3 (tptp.length3 tptp.int _let_2))) (let ((_let_4 (tptp.data tptp.int _let_2))) (let ((_let_5 (tptp.length2 tptp.int _let_4))) (let ((_let_6 (not (and (<= 0 10) (=> (and (<= 0 _let_3) (<= _let_3 _let_5) (forall ((I Int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (let ((_let_2 (tptp.data tptp.int _let_1))) (=> (and (<= (tptp.length3 tptp.int _let_1) I) (< I (tptp.length2 tptp.int _let_2))) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.elts tptp.int _let_2) (tptp.t2tb I))) (tptp.tb2t (tptp.dummy tptp.int _let_1))))))) (exists ((X Int) (X1 Int) (X2 tptp.array_int)) (let ((_let_1 (tptp.t2tb2 X2))) (and (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 _let_1))) (<= 0 (tptp.length2 tptp.int _let_1)))))) (and (<= 0 0) (< 0 _let_3) (forall ((Rho tptp.map_int_int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (let ((_let_2 (tptp.length3 tptp.int _let_1))) (let ((_let_3 (<= _let_2 (tptp.length2 tptp.int (tptp.data tptp.int _let_1))))) (let ((_let_4 (<= 0 _let_2))) (=> (and _let_4 _let_3 (forall ((I Int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (=> (and (<= (tptp.length3 tptp.int _let_1) I) (< I (tptp.length2 tptp.int (tptp.data tptp.int _let_1)))) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 Rho) (tptp.t2tb I))) (tptp.tb2t (tptp.dummy tptp.int _let_1)))))) (exists ((X Int) (X1 Int) (X2 tptp.array_int)) (let ((_let_1 (tptp.t2tb2 X2))) (and (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 _let_1))) (<= 0 (tptp.length2 tptp.int _let_1))))) (exists ((X Int) (X1 Int) (X2 tptp.array_int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (and (= (tptp.tb2t3 _let_1) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 (tptp.t2tb2 X2)))) (= (tptp.tb2t (tptp.dummy tptp.int _let_1)) X) (= (tptp.length3 tptp.int _let_1) X1) (exists ((X3 Int) (X4 tptp.map_int_int)) (let ((_let_1 (tptp.t2tb 0))) (let ((_let_2 (tptp.data tptp.int (tptp.make3 tptp.int 10 _let_1)))) (and (= X2 (tptp.tb2t2 (tptp.mk_array1 tptp.int X3 (tptp.t2tb1 X4)))) (= (tptp.length2 tptp.int _let_2) X3) (= (tptp.tb2t1 (tptp.set tptp.int tptp.int (tptp.elts tptp.int _let_2) _let_1 (tptp.t2tb 17))) Rho))))))))) (and (<= 0 10) (=> (and _let_4 _let_3 (forall ((I Int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (let ((_let_2 (tptp.data tptp.int _let_1))) (=> (and (<= (tptp.length3 tptp.int _let_1) I) (< I (tptp.length2 tptp.int _let_2))) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.elts tptp.int _let_2) (tptp.t2tb I))) (tptp.tb2t (tptp.dummy tptp.int _let_1))))))) (exists ((X Int) (X1 Int) (X2 tptp.array_int)) (let ((_let_1 (tptp.t2tb2 X2))) (and (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 _let_1))) (<= 0 (tptp.length2 tptp.int _let_1)))))) (and (<= 0 0) (< 0 _let_2) (forall ((Rho1 tptp.map_int_int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (let ((_let_2 (tptp.length3 tptp.int _let_1))) (=> (and (<= 0 _let_2) (<= _let_2 (tptp.length2 tptp.int (tptp.data tptp.int _let_1))) (forall ((I Int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (=> (and (<= (tptp.length3 tptp.int _let_1) I) (< I (tptp.length2 tptp.int (tptp.data tptp.int _let_1)))) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 Rho1) (tptp.t2tb I))) (tptp.tb2t (tptp.dummy tptp.int _let_1)))))) (exists ((X Int) (X1 Int) (X2 tptp.array_int)) (let ((_let_1 (tptp.t2tb2 X2))) (and (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 _let_1))) (<= 0 (tptp.length2 tptp.int _let_1))))) (exists ((X Int) (X1 Int) (X2 tptp.array_int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (and (= (tptp.tb2t3 _let_1) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 (tptp.t2tb2 X2)))) (= (tptp.tb2t (tptp.dummy tptp.int _let_1)) X) (= (tptp.length3 tptp.int _let_1) X1) (exists ((X3 Int) (X4 tptp.map_int_int)) (let ((_let_1 (tptp.t2tb 0))) (let ((_let_2 (tptp.data tptp.int (tptp.make3 tptp.int 10 _let_1)))) (and (= X2 (tptp.tb2t2 (tptp.mk_array1 tptp.int X3 (tptp.t2tb1 X4)))) (= (tptp.length2 tptp.int _let_2) X3) (= (tptp.tb2t1 (tptp.set tptp.int tptp.int (tptp.elts tptp.int _let_2) _let_1 (tptp.t2tb 42))) Rho1))))))))) (forall ((Rho2 Int) (Rho3 tptp.map_int_int) (Rho4 Int)) (let ((_let_1 (tptp.t2tb 0))) (let ((_let_2 (tptp.length3 tptp.int (tptp.make3 tptp.int 10 _let_1)))) (let ((_let_3 (tptp.t2tb1 Rho3))) (=> (and (<= 0 Rho4) (<= Rho4 Rho2) (forall ((I Int)) (=> (and (<= Rho4 I) (< I Rho2)) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 Rho3) (tptp.t2tb I))) (tptp.tb2t (tptp.dummy tptp.int (tptp.make3 tptp.int 10 (tptp.t2tb 0))))))) (exists ((X Int) (X1 Int) (X2 tptp.array_int)) (and (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 (tptp.t2tb2 X2)))) (<= 0 Rho2))) (= Rho4 (+ _let_2 _let_2)) (forall ((I Int)) (let ((_let_1 (tptp.length3 tptp.int (tptp.make3 tptp.int 10 (tptp.t2tb 0))))) (let ((_let_2 (tptp.t2tb I))) (let ((_let_3 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 Rho3) _let_2)))) (=> (and (<= 0 I) (< I Rho4)) (and (=> (< I _let_1) (= _let_3 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 Rho) _let_2)))) (=> (<= _let_1 I) (= _let_3 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 Rho1) (tptp.t2tb (- I _let_1))))))))))))) (and (= Rho4 20) (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_3 _let_1)) 17) (<= 0 10) (< 10 Rho4) (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_3 (tptp.t2tb 10))) 42) (<= 0 0) (< 0 _let_2) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 Rho1) _let_1)) 42)))))))))))))))))))))))))) (let ((_let_7 (forall ((J tptp.uni)) (= (tptp.t2tb3 (tptp.tb2t3 J)) J)))) (let ((_let_8 (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)))) (let ((_let_9 (forall ((A tptp.ty) (Len Int) (Dummy tptp.uni)) (= (tptp.make3 A Len Dummy) (tptp.mk_rarray1 A Dummy Len (tptp.make2 A Len Dummy)))))) (let ((_let_10 (forall ((A tptp.ty) (U tptp.uni) (U1 Int) (U2 tptp.uni)) (= (tptp.length3 A (tptp.mk_rarray1 A U U1 U2)) U1)))) (let ((_let_11 (forall ((A tptp.ty) (U tptp.uni) (U1 Int) (U2 tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.dummy A (tptp.mk_rarray1 A U U1 U2)) U))))) (let ((_let_12 (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)))) (let ((_let_13 (forall ((I Int)) (= (tptp.tb2t (tptp.t2tb I)) I)))) (let ((_let_14 (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb X))))) (let ((_let_15 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni) (B1 tptp.uni)) (=> (tptp.sort1 B B1) (=> (= A1 A2) (= (tptp.get B A (tptp.set B A M A1 B1) A2) B1)))))) (let ((_let_16 (tptp.t2tb 42))) (let ((_let_17 (tptp.tb2t _let_16))) (let ((_let_18 (= _let_17 42))) (let ((_let_19 (tptp.elts tptp.int _let_4))) (let ((_let_20 (tptp.set tptp.int tptp.int _let_19 _let_1 _let_16))) (let ((_let_21 (tptp.t2tb1 (tptp.tb2t1 _let_20)))) (let ((_let_22 (= _let_20 _let_21))) (let ((_let_23 (= _let_16 (tptp.get tptp.int tptp.int _let_20 _let_1)))) (let ((_let_24 (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_21 _let_1)) 42))) (let ((_let_25 (forall ((I Int)) (= I (tptp.tb2t (tptp.t2tb I)))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 ((tptp.t2tb I)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_26 :args (42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27))) _let_26 :args (_let_18 false _let_25)))) (let ((_let_30 (forall ((J tptp.uni)) (= J (tptp.t2tb1 (tptp.tb2t1 J)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((tptp.tb2t1 J)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_22 false _let_30)))) (let ((_let_35 (tptp.sort1 tptp.int _let_16))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_23))) (let ((_let_38 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A2 tptp.uni) (B1 tptp.uni)) (or (not (tptp.sort1 B B1)) (= B1 (tptp.get B A (tptp.set B A M A2 B1) A2)))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 ((tptp.set B A M A2 B1)))) (let ((_let_42 (_let_14))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.t2tb X)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_23 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.int tptp.int _let_19 _let_1 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_37 false _let_38)) :args (_let_23 false _let_35 false _let_37)))) (let ((_let_46 (tptp.t2tb 10))) (let ((_let_47 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_48 (tptp.tb2t (tptp.get tptp.int tptp.int _let_47 _let_46)))) (let ((_let_49 (= _let_48 42))) (let ((_let_50 (>= _let_3 6))) (let ((_let_51 (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_47 _let_1)) 17))) (let ((_let_52 (= _let_3 10))) (let ((_let_53 (>= _let_3 1))) (let ((_let_54 (and _let_52 _let_51 _let_50 _let_49 _let_53 _let_24))) (let ((_let_55 (not _let_24))) (let ((_let_56 (* (- 1) _let_3))) (let ((_let_57 (+ 10 _let_56))) (let ((_let_58 (= _let_48 (tptp.tb2t (tptp.get tptp.int tptp.int _let_21 (tptp.t2tb _let_57)))))) (let ((_let_59 (tptp.make2 tptp.int 10 _let_1))) (let ((_let_60 (tptp.mk_rarray1 tptp.int _let_1 10 _let_59))) (let ((_let_61 (= _let_1 (tptp.dummy tptp.int _let_60)))) (let ((_let_62 (= _let_2 _let_60))) (let ((_let_63 (tptp.dummy tptp.int _let_2))) (let ((_let_64 (tptp.tb2t _let_63))) (let ((_let_65 (tptp.t2tb _let_64))) (let ((_let_66 (= _let_63 _let_65))) (let ((_let_67 (>= _let_3 11))) (let ((_let_68 (or _let_67 _let_58))) (let ((_let_69 (tptp.t2tb 17))) (let ((_let_70 (tptp.set tptp.int tptp.int _let_19 _let_1 _let_69))) (let ((_let_71 (tptp.t2tb1 (tptp.tb2t1 _let_70)))) (let ((_let_72 (not _let_67))) (let ((_let_73 (and (or _let_72 (= _let_48 (tptp.tb2t (tptp.get tptp.int tptp.int _let_71 _let_46)))) _let_68))) (let ((_let_74 (not _let_50))) (let ((_let_75 (or _let_74 _let_73))) (let ((_let_76 (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_1)))) (let ((_let_3 (tptp.t2tb 0))) (let ((_let_4 (tptp.make3 tptp.int 10 _let_3))) (let ((_let_5 (tptp.length3 tptp.int _let_4))) (let ((_let_6 (+ I (* (- 1) _let_5)))) (let ((_let_7 (tptp.elts tptp.int (tptp.data tptp.int _let_4)))) (let ((_let_8 (>= _let_6 0))) (or (not (>= I 0)) (>= (+ I (* (- 2) _let_5)) 0) (and (or _let_8 (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int _let_7 _let_3 (tptp.t2tb 17)))) _let_1)) _let_2)) (or (not _let_8) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int _let_7 _let_3 (tptp.t2tb 42)))) (tptp.t2tb _let_6))) _let_2))))))))))))))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (* (- 2) _let_3)) 0)) (not (forall ((I Int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (or (not (>= (+ I (* (- 2) (tptp.length3 tptp.int _let_1))) 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) 0) (= (tptp.tb2t (tptp.dummy tptp.int _let_1)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.t2tb I)))))))) (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 0)) _let_77 _let_54))) (let ((_let_79 (forall ((BOUND_VARIABLE_2397 Int) (BOUND_VARIABLE_2395 tptp.map_int_int)) (let ((_let_1 (tptp.t2tb 0))) (let ((_let_2 (tptp.make3 tptp.int 10 _let_1))) (let ((_let_3 (tptp.length3 tptp.int _let_2))) (let ((_let_4 (tptp.t2tb1 BOUND_VARIABLE_2395))) (or (not (>= (+ BOUND_VARIABLE_2397 (* (- 2) _let_3)) 0)) (not (forall ((I Int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (or (not (>= (+ I (* (- 2) (tptp.length3 tptp.int _let_1))) 0)) (>= (+ I (* (- 1) BOUND_VARIABLE_2397)) 0) (= (tptp.tb2t (tptp.dummy tptp.int _let_1)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 BOUND_VARIABLE_2395) (tptp.t2tb I)))))))) (not (>= BOUND_VARIABLE_2397 0)) (not (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 BOUND_VARIABLE_2395) _let_1)))) (let ((_let_3 (tptp.t2tb 0))) (let ((_let_4 (tptp.make3 tptp.int 10 _let_3))) (let ((_let_5 (tptp.length3 tptp.int _let_4))) (let ((_let_6 (+ I (* (- 1) _let_5)))) (let ((_let_7 (tptp.elts tptp.int (tptp.data tptp.int _let_4)))) (let ((_let_8 (>= _let_6 0))) (or (not (>= I 0)) (>= (+ I (* (- 2) _let_5)) 0) (and (or _let_8 (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int _let_7 _let_3 (tptp.t2tb 17)))) _let_1)) _let_2)) (or (not _let_8) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int _let_7 _let_3 (tptp.t2tb 42)))) (tptp.t2tb _let_6))) _let_2)))))))))))))) (and (= _let_3 10) (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_4 _let_1)) 17) (>= _let_3 6) (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_4 (tptp.t2tb 10))) 42) (>= _let_3 1) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int (tptp.elts tptp.int (tptp.data tptp.int _let_2)) _let_1 (tptp.t2tb 42)))) _let_1)) 42)))))))))) (let ((_let_80 (not _let_78))) (let ((_let_81 (>= (+ _let_3 (* (- 1) _let_5)) 1))) (let ((_let_82 (not (>= _let_3 0)))) (let ((_let_83 (or _let_82 _let_81 (not (forall ((I Int)) (let ((_let_1 (tptp.t2tb 0))) (let ((_let_2 (tptp.make3 tptp.int 10 _let_1))) (let ((_let_3 (tptp.data tptp.int _let_2))) (or (not (>= (+ I (* (- 1) (tptp.length3 tptp.int _let_2))) 0)) (>= (+ I (* (- 1) (tptp.length2 tptp.int _let_3))) 0) (= (tptp.tb2t (tptp.dummy tptp.int _let_2)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int (tptp.elts tptp.int _let_3) _let_1 (tptp.t2tb 42)))) (tptp.t2tb I)))))))))) (forall ((BOUND_VARIABLE_2399 tptp.map_int_int)) (let ((_let_1 (tptp.make3 tptp.int 10 (tptp.t2tb 0)))) (not (= (tptp.tb2t3 _let_1) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb (tptp.tb2t (tptp.dummy tptp.int _let_1))) (tptp.length3 tptp.int _let_1) (tptp.t2tb2 (tptp.tb2t2 (tptp.mk_array1 tptp.int (tptp.length2 tptp.int (tptp.data tptp.int _let_1)) (tptp.t2tb1 BOUND_VARIABLE_2399)))))))))) (forall ((BOUND_VARIABLE_2401 tptp.array_int) (BOUND_VARIABLE_2405 Int) (BOUND_VARIABLE_2409 Int)) (not (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb BOUND_VARIABLE_2409) BOUND_VARIABLE_2405 (tptp.t2tb2 BOUND_VARIABLE_2401)))))) (forall ((BOUND_VARIABLE_2403 tptp.array_int) (BOUND_VARIABLE_2407 Int) (BOUND_VARIABLE_2411 Int)) (let ((_let_1 (tptp.t2tb2 BOUND_VARIABLE_2403))) (or (not (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb BOUND_VARIABLE_2411) BOUND_VARIABLE_2407 _let_1)))) (not (>= (tptp.length2 tptp.int _let_1) 0))))) _let_79))) (let ((_let_84 (not _let_79))) (let ((_let_85 (not _let_83))) (let ((_let_86 (>= _let_64 0))) (let ((_let_87 (* (- 1) _let_64))) (let ((_let_88 (+ (* 2 _let_3) _let_87))) (let ((_let_89 (>= _let_88 1))) (let ((_let_90 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_64))) (let ((_let_91 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0))) (let ((_let_92 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_93 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.tb2t _let_92)))) (let ((_let_94 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_95 (tptp.mk_rarray1 tptp.int _let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_94))) (let ((_let_96 (tptp.tb2t3 _let_95))) (let ((_let_97 (= _let_95 (tptp.t2tb3 _let_96)))) (let ((_let_98 (tptp.tb2t3 _let_2))) (let ((_let_99 (= _let_2 (tptp.t2tb3 _let_98)))) (let ((_let_100 (= _let_92 (tptp.dummy tptp.int _let_95)))) (let ((_let_101 (= _let_98 _let_96))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_93 false _let_25)))) (let ((_let_103 (forall ((J tptp.uni)) (= J (tptp.t2tb3 (tptp.tb2t3 J)))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((tptp.tb2t3 J)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_95 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_97 false _let_103)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_99 false _let_103)))) (let ((_let_109 (tptp.sort1 tptp.int _let_92))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_100))) (let ((_let_112 (forall ((A tptp.ty) (U tptp.uni) (U1 Int) (U2 tptp.uni)) (or (not (tptp.sort1 A U)) (= U (tptp.dummy A (tptp.mk_rarray1 A U U1 U2))))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 ((tptp.mk_rarray1 A U U1 U2)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_110 _let_100 (not _let_111)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_109 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.int _let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_111 false _let_112)) :args (_let_100 false _let_109 false _let_111)))) (let ((_let_117 (not _let_101))) (let ((_let_118 (or _let_117 (not (>= (tptp.length2 tptp.int _let_94) 0))))) (let ((_let_119 (forall ((X Int) (X1 Int) (X2 tptp.array_int)) (let ((_let_1 (tptp.t2tb2 X2))) (or (not (= (tptp.tb2t3 (tptp.make3 tptp.int 10 (tptp.t2tb 0))) (tptp.tb2t3 (tptp.mk_rarray1 tptp.int (tptp.t2tb X) X1 _let_1)))) (not (>= (tptp.length2 tptp.int _let_1) 0))))))) (let ((_let_120 (not _let_118))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (or))) (let ((_let_123 (not _let_119))) (let ((_let_124 (_let_123))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 0)) (CONG (REFL :args (_let_118)) (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_101))) :args _let_122)) :args ((or _let_101 _let_118))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_124)) :args _let_124)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_119))) (REFL :args (_let_120)) :args _let_122)) (AND_ELIM (NOT_IMPLIES_ELIM1 _let_121) :args (3)) :args (_let_120 true _let_119)) :args (_let_101 true _let_118)))) (let ((_let_126 (not _let_93))) (let ((_let_127 (not _let_97))) (let ((_let_128 (not _let_99))) (let ((_let_129 (not _let_100))) (let ((_let_130 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:args _let_215) (REWRITE :args _let_215)) :args ((or _let_174 _let_89 _let_212 _let_173 _let_211))) _let_172 _let_210 _let_146 _let_207 :args (_let_89 false _let_91 false _let_185 false _let_90 false _let_184)))) (let ((_let_222 (not _let_53))) (let ((_let_223 (<= _let_3 0))) (let ((_let_224 (_let_223))) (let ((_let_225 (ASSUME :args (_let_89)))) (let ((_let_226 (ASSUME :args (_let_86)))) (let ((_let_227 (ASSUME :args (_let_222)))) (let ((_let_228 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_225 _let_226 _let_227) :args (_let_222 _let_86 _let_89)) (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_227 :args ((< _let_3 1)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_224) _let_226 _let_225 :args (1.0 (/ (- 1) 2) (/ (- 1) 2))) :args _let_178) :args _let_224) :args ((> _let_3 0))) :args ((not _let_223)))) :args (_let_89 _let_86 _let_222)) :args ((not (and 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false _let_280 false _let_279 false _let_61 false _let_277)) _let_242 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_261 _let_267 (MACRO_SR_PRED_TRANSFORM _let_246 :args _let_263) _let_167 _let_164 _let_265 _let_271 _let_276) (SCOPE (TRANS (SYMM _let_273) (CONG (TRANS (SYMM _let_272) (SYMM _let_270)) :args _let_131) (CONG (TRANS _let_270 (CONG _let_141 _let_141 (SYMM _let_268) (TRANS _let_167 (SYMM _let_264) _let_265) :args _let_262) (CONG _let_141 _let_141 (REFL :args (_let_21)) (TRANS _let_266 _let_264 _let_168 (CONG (SYMM (SYMM (ASSUME :args _let_263))) :args (APPLY_UF tptp.t2tb))) :args _let_262)) :args _let_131) (SYMM _let_261)) :args (_let_58 _let_22 _let_260 _let_61 _let_62 _let_66 _let_23 _let_259))) _let_258) :args (_let_52 _let_256 _let_23 _let_18 _let_66 _let_62 _let_22 _let_61 _let_58)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_258)) (TRUE_INTRO (SYMM (ASSUME :args (_let_257)))))) :args (_let_257 _let_256)) :args ((not (and _let_52 _let_256 _let_23 _let_18 _let_66 _let_62 _let_22 _let_61 _let_58)) SB_LITERAL))) (CONG (REFL :args (_let_255)) (MACRO_SR_PRED_INTRO :args ((= (not _let_256) _let_49))) (REFL :args (_let_254)) (REFL :args (_let_253)) (REFL :args (_let_252)) (REFL :args (_let_157)) (REFL :args (_let_251)) (REFL :args (_let_156)) (REFL :args (_let_250)) :args _let_122)) :args ((or _let_49 _let_255 _let_254 _let_253 _let_252 _let_157 _let_251 _let_156 _let_250))) _let_243 _let_45 _let_29 _let_249 _let_155 _let_34 _let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_58 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_246 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_245) _let_246 :args ((- 1.0) 1.0)) :args _let_178) :args _let_245) :args ((< _let_3 11))) :args (_let_72)) :args _let_244)) :args _let_244)) _let_243 :args (_let_72 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 1)) :args ((or _let_68 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_73 (not _let_75)))) _let_242 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_240 :args (10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_239)) :args _let_238))) (MACRO_RESOLUTION_TRUST _let_237 _let_236 :args (_let_76 true _let_78)) :args (_let_75 false _let_76)) :args (_let_73 false _let_50 false _let_75)) :args (_let_68 false _let_73)) :args (_let_58 true _let_67 false _let_68)) :args (_let_49 false _let_52 false _let_23 false _let_18 false _let_66 false _let_62 false _let_22 false _let_61 false _let_58)) :args (_let_55 false _let_53 true _let_54 false _let_52 false _let_51 false _let_50 false _let_49)) _let_45 _let_34 _let_29 :args (false true _let_24 false _let_23 false _let_22 false _let_18)) :args ((forall ((A tptp.ty)) (tptp.sort1 A (tptp.witness1 A))) (forall ((A tptp.ty) (X tptp.bool1) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A (tptp.match_bool1 A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z) (= (tptp.match_bool1 A tptp.true1 Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z1) (= (tptp.match_bool1 A tptp.false1 Z Z1) Z1))) (not (= tptp.true1 tptp.false1)) (forall ((U tptp.bool1)) (or (= U tptp.true1) (= U tptp.false1))) (forall ((U tptp.tuple02)) (= U tptp.tuple03)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.max1 X Y))) (and (<= X _let_1) (<= Y _let_1)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.max1 X Y))) (or (= _let_1 X) (= _let_1 Y)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.min1 X Y))) (and (<= _let_1 X) (<= _let_1 Y)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.min1 X Y))) (or (= _let_1 X) (= _let_1 Y)))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.max1 X Y) X))) (forall ((X Int) (Y Int)) (=> (<= X Y) (= (tptp.max1 X Y) Y))) (forall ((X Int) (Y Int)) (=> (<= X Y) (= (tptp.min1 X Y) X))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.min1 X Y) Y))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.max1 X Y) (tptp.max1 Y X)))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.min1 X Y) (tptp.min1 Y X)))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 B (tptp.get B A X X1))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 (tptp.map A B) (tptp.set B A X X1 X2))) _let_15 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni)) (=> (tptp.sort1 A A1) (=> (tptp.sort1 A A2) (forall ((B1 tptp.uni)) (=> (not (= A1 A2)) (= (tptp.get B A (tptp.set B A M A1 B1) A2) (tptp.get B A M A2))))))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map A B) (tptp.const B A X))) (forall ((A tptp.ty) (B tptp.ty) (B1 tptp.uni) (A1 tptp.uni)) (=> (tptp.sort1 B B1) (= (tptp.get B A (tptp.const B A B1) A1) B1))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.mk_array1 A X X1))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length2 A (tptp.mk_array1 A U U1)) U)) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map tptp.int A) (tptp.elts A X))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int A) U1) (= (tptp.elts A (tptp.mk_array1 A U U1)) U1))) (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array1 A (tptp.length2 A U) (tptp.elts A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort1 A (tptp.get2 A X X1))) _let_14 _let_13 _let_12 (forall ((A tptp.ty) (A1 tptp.uni) (I Int)) (= (tptp.get2 A A1 I) (tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb I)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int) (X2 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.set2 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.uni) (I Int) (V tptp.uni)) (= (tptp.set2 A A1 I V) (tptp.mk_array1 A (tptp.length2 A A1) (tptp.set A tptp.int (tptp.elts A A1) (tptp.t2tb I) V)))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.make2 A X X1))) (forall ((A tptp.ty) (N Int) (V tptp.uni)) (= (tptp.make2 A N V) (tptp.mk_array1 A N (tptp.const A tptp.int V)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int) (X2 tptp.uni)) (tptp.sort1 (tptp.rarray A) (tptp.mk_rarray1 A X X1 X2))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.dummy A X))) _let_11 _let_10 (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.data A X))) (forall ((A tptp.ty) (U tptp.uni) (U1 Int) (U2 tptp.uni)) (= (tptp.data A (tptp.mk_rarray1 A U U1 U2)) U2)) (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_rarray1 A (tptp.dummy A U) (tptp.length3 A U) (tptp.data A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort1 A (tptp.mixfix_lbrb1 A X X1))) (forall ((A tptp.ty) (R tptp.uni) (I Int)) (= (tptp.mixfix_lbrb1 A R I) (tptp.get2 A (tptp.data A R) I))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int) (X2 tptp.uni)) (tptp.sort1 (tptp.rarray A) (tptp.mixfix_lblsmnrb1 A X X1 X2))) (forall ((A tptp.ty) (R tptp.uni) (I Int) (V tptp.uni)) (= (tptp.mixfix_lblsmnrb1 A R I V) (tptp.mk_rarray1 A (tptp.dummy A R) (tptp.length3 A R) (tptp.set2 A (tptp.data A R) I V)))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort1 (tptp.rarray A) (tptp.make3 A X X1))) _let_9 (forall ((X tptp.map_int_int)) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb1 X))) (forall ((I tptp.map_int_int)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) _let_8 (forall ((X tptp.array_int)) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb2 X))) (forall ((I tptp.array_int)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb2 (tptp.tb2t2 J)) J)) (forall ((X tptp.rarray_int)) (tptp.sort1 (tptp.rarray tptp.int) (tptp.t2tb3 X))) (forall ((I tptp.rarray_int)) (= (tptp.tb2t3 (tptp.t2tb3 I)) I)) _let_7 _let_6 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 16.26/16.49  )
% 16.26/16.49  % SZS output end Proof for SWW639_2
% 16.26/16.49  % cvc5---1.0.5 exiting
% 16.26/16.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------