TSTP Solution File: SWW623_2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW623_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 00:21:43 EDT 2023
% Result : Theorem 15.56s 15.93s
% Output : Proof 15.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWW623_2 : TPTP v8.1.2. Released v6.1.0.
% 0.15/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n010.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 : Sun Aug 27 21:51:34 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_ARI
% 15.56/15.93 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9lIxgPHOVv/cvc5---1.0.5_31719.p...
% 15.56/15.93 ------- get file name : TPTP file name is SWW623_2
% 15.56/15.93 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31719.smt2...
% 15.56/15.93 --- Run --finite-model-find --decision=internal at 15...
% 15.56/15.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.56/15.93 % SZS status Theorem for SWW623_2
% 15.56/15.93 % SZS output start Proof for SWW623_2
% 15.56/15.93 (
% 15.56/15.93 (let ((_let_1 (not (forall ((Tmp Int) (A Int) (A1 tptp.map_int_elt3) (Lo Int) (K Int)) (let ((_let_1 (<= 0 Lo))) (=> (and (<= 0 Tmp) (<= 0 A) _let_1 (<= Lo A) (= A Tmp) (<= 0 K)) (=> (not (<= (- A 1) Lo)) (=> (and _let_1 (< Lo A)) (forall ((O Int)) (let ((_let_1 (tptp.t2tb12 A1))) (=> (and (< Lo O) (<= O A) (tptp.sorted_sub4 (tptp.tb2t10 (tptp.mk_array1 tptp.elt7 A _let_1)) Lo O) (=> (< O A) (not (tptp.le4 (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_1 (tptp.t2tb (- O 1)))) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_1 (tptp.t2tb O))))))) (=> (not (= O A)) (=> (<= 0 (- K 1)) (forall ((Mid Int) (A2 tptp.map_int_elt3) (I Int)) (let ((_let_1 (<= 0 I))) (let ((_let_2 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A2)))) (=> (and _let_1 (<= I (- K 1))) (=> (and (< (+ Lo I) Mid) (< Mid A) (tptp.sorted_sub4 (tptp.tb2t10 _let_2) Lo Mid) (tptp.permut_sub1 tptp.elt7 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A1)) _let_2 Lo A) (forall ((J Int)) (let ((_let_1 (tptp.t2tb J))) (=> (and (<= 0 J) (< J Lo)) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 A2) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 A1) _let_1))))))) (=> (and (<= 0 Tmp) (<= 0 A) (<= 0 Mid) (<= Mid A) (= A Tmp) _let_1) (forall ((A3 tptp.map_int_elt3) (Hi Int)) (let ((_let_1 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A3)))) (let ((_let_2 (tptp.tb2t10 _let_1))) (let ((_let_3 (tptp.sorted_sub4 _let_2 Mid Hi))) (=> (and (<= 0 Tmp) (<= 0 A) (or (= Hi A) (and (< (+ Mid I) Hi) (< Hi A))) _let_3 (tptp.permut_sub1 tptp.elt7 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A2)) _let_1 Mid A) (forall ((J Int)) (let ((_let_1 (tptp.t2tb J))) (=> (and (<= 0 J) (< J Mid)) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 A3) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 A2) _let_1))))))) (=> (tptp.permut_sub1 tptp.elt7 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A1)) _let_1 Lo A) (=> (and (<= 0 Lo) (<= Lo Mid) (<= Mid Hi) (<= Hi Tmp) (= Tmp A) (tptp.sorted_sub4 _let_2 Lo Mid) _let_3) (forall ((A4 tptp.map_int_elt3)) (let ((_let_1 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A4)))) (let ((_let_2 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A3)))) (=> (and (<= 0 Tmp) (<= 0 A) (tptp.sorted_sub4 (tptp.tb2t10 _let_1) Lo Hi) (tptp.permut3 tptp.elt7 _let_2 _let_1 Lo Hi) (forall ((I1 Int)) (let ((_let_1 (tptp.t2tb I1))) (=> (or (and (<= 0 I1) (< I1 Lo)) (and (<= Hi I1) (< I1 A))) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 A4) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 A3) _let_1))))))) (tptp.permut_sub1 tptp.elt7 _let_2 _let_1 Lo Hi))))))))))))))))))))))))))))))) (let ((_let_2 (forall ((X tptp.map_int_elt3)) (tptp.sort1 (tptp.map tptp.int tptp.elt7) (tptp.t2tb12 X))))) (let ((_let_3 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.elts A A2))) (let ((_let_2 (tptp.elts A A1))) (= (tptp.permut_sub1 A A1 A2 L U) (and (tptp.map_eq_sub1 A _let_2 _let_1 0 L) (tptp.permut3 A A1 A2 L U) (tptp.map_eq_sub1 A _let_2 _let_1 U (tptp.length1 A A1))))))))) (let ((_let_4 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (= (tptp.map_eq_sub1 A A1 A2 L U) (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (=> (and (<= L I) (< I U)) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1))))))))) (let ((_let_5 (forall ((J tptp.uni)) (=> (tptp.sort1 tptp.elt7 J) (= (tptp.t2tb11 (tptp.tb2t11 J)) J))))) (let ((_let_6 (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))))) (let ((_let_7 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length1 A (tptp.mk_array1 A U U1)) U)))) (let ((_let_8 (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 B (tptp.get B A X X1))))) (let ((_let_9 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_11 (tptp.elts tptp.elt7 _let_10))) (let ((_let_12 (= _let_9 _let_11))) (let ((_let_13 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_14 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_15 (tptp.elts tptp.elt7 _let_14))) (let ((_let_16 (= _let_13 _let_15))) (let ((_let_17 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_136))) (let ((_let_18 (tptp.get tptp.elt7 tptp.int _let_15 _let_17))) (let ((_let_19 (= _let_18 (tptp.t2tb11 (tptp.tb2t11 _let_18))))) (let ((_let_20 (tptp.get tptp.elt7 tptp.int _let_11 _let_17))) (let ((_let_21 (= _let_20 (tptp.t2tb11 (tptp.tb2t11 _let_20))))) (let ((_let_22 (= _let_20 _let_18))) (let ((_let_23 (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_9 _let_17)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_13 _let_17))))) (let ((_let_24 (tptp.map tptp.int tptp.elt7))) (let ((_let_25 (tptp.sort1 _let_24 _let_9))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_12))) (let ((_let_28 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (or (not (tptp.sort1 (tptp.map tptp.int A) U1)) (= U1 (tptp.elts A (tptp.mk_array1 A U U1))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((tptp.mk_array1 A U U1)))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((tptp.t2tb12 X)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_12 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_25 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_27 false _let_28)) :args (_let_12 false _let_25 false _let_27)))) (let ((_let_36 (tptp.sort1 _let_24 _let_13))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_16))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_16 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_36 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_38 false _let_28)) :args (_let_16 false _let_36 false _let_38)))) (let ((_let_40 (tptp.sort1 tptp.elt7 _let_18))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_19))) (let ((_let_43 (forall ((J tptp.uni)) (or (not (tptp.sort1 tptp.elt7 J)) (= J (tptp.t2tb11 (tptp.tb2t11 J))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((not (= (tptp.sort1 tptp.elt7 J) false))))) (let ((_let_47 (_let_8))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.get B A X X1)))) (let ((_let_50 (tptp.sort1 tptp.elt7 _let_20))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_21))) (let ((_let_53 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_136))) (let ((_let_54 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_53) 1))) (let ((_let_55 (not _let_54))) (let ((_let_56 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_136 0))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55 _let_22))) (let ((_let_59 (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (or (not (>= I 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 0) (= (tptp.get tptp.elt7 tptp.int (tptp.elts tptp.elt7 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) _let_1) (tptp.get tptp.elt7 tptp.int (tptp.elts tptp.elt7 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) _let_1))))))) (let ((_let_60 (not _let_58))) (let ((_let_61 (tptp.map_eq_sub1 tptp.elt7 _let_11 _let_15 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_62 (= _let_61 _let_59))) (let ((_let_63 (not _let_59))) (let ((_let_64 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (= (tptp.map_eq_sub1 A A1 A2 L U) (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (* (- 1) I))) (or (>= (+ L _let_2) 1) (not (>= (+ U _let_2) 1)) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1)))))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((tptp.map_eq_sub1 A A1 A2 L U)))) (let ((_let_68 (tptp.length1 tptp.elt7 _let_10))) (let ((_let_69 (tptp.map_eq_sub1 tptp.elt7 _let_11 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_68))) (let ((_let_70 (tptp.permut3 tptp.elt7 _let_10 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_71 (and _let_61 _let_70 _let_69))) (let ((_let_72 (not _let_61))) (let ((_let_73 (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (or (not (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 0)) (>= (+ I (* (- 1) (tptp.length1 tptp.elt7 _let_2))) 0) (= (tptp.get tptp.elt7 tptp.int (tptp.elts tptp.elt7 _let_2) _let_1) (tptp.get tptp.elt7 tptp.int (tptp.elts tptp.elt7 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) _let_1)))))))) (let ((_let_74 (= _let_69 _let_73))) (let ((_let_75 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135))) (let ((_let_76 (tptp.get tptp.elt7 tptp.int _let_15 _let_75))) (let ((_let_77 (tptp.get tptp.elt7 tptp.int _let_11 _let_75))) (let ((_let_78 (= _let_77 _let_76))) (let ((_let_79 (* (- 1) _let_68))) (let ((_let_80 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135 _let_79))) (let ((_let_81 (>= _let_80 0))) (let ((_let_82 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135))) (let ((_let_83 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_82) 1))) (let ((_let_84 (or _let_83 _let_81 _let_78))) (let ((_let_85 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_68))) (let ((_let_86 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_82))) (let ((_let_87 (>= _let_86 1))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_83 _let_88))) (let ((_let_90 (and (or (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_82) 1))) _let_89))) (let ((_let_91 (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_9 _let_75)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_13 _let_75))))) (let ((_let_92 (or _let_90 _let_91))) (let ((_let_93 (= _let_76 (tptp.t2tb11 (tptp.tb2t11 _let_76))))) (let ((_let_94 (= _let_77 (tptp.t2tb11 (tptp.tb2t11 _let_77))))) (let ((_let_95 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= U (tptp.length1 A (tptp.mk_array1 A U U1)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (not _let_85))) (let ((_let_98 (not _let_81))) (let ((_let_99 (forall ((I1 Int)) (let ((_let_1 (tptp.t2tb I1))) (or (and (or (not (>= I1 0)) (>= (+ I1 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 0)) (or (not (>= (+ I1 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 0)) (>= (+ I1 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) 0))) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_1)))))))) (let ((_let_100 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_101 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_102 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_103 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_102))) (let ((_let_104 (and (>= _let_103 1) (tptp.le4 (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_101 (tptp.t2tb (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_101 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))) (let ((_let_105 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_101))) (let ((_let_106 (not (tptp.sorted_sub4 (tptp.tb2t10 _let_105) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_107 (not (>= _let_103 0)))) (let ((_let_108 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_102) 0))) (let ((_let_109 (tptp.permut_sub1 tptp.elt7 _let_10 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_110 (not _let_99))) (let ((_let_111 (not _let_70))) (let ((_let_112 (not (tptp.sorted_sub4 (tptp.tb2t10 _let_14) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_113 (tptp.tb2t10 _let_10))) (let ((_let_114 (not (tptp.sorted_sub4 _let_113 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_115 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_116 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_115))) (let ((_let_117 (not (>= _let_116 0)))) (let ((_let_118 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_119 (not (tptp.permut_sub1 tptp.elt7 _let_105 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_120 (not (forall ((J Int)) (let ((_let_1 (tptp.t2tb J))) (or (not (>= J 0)) (>= (+ J (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) 0) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_1))))))))) (let ((_let_121 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_122 (not (tptp.permut_sub1 tptp.elt7 _let_121 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_123 (not (tptp.sorted_sub4 _let_113 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_124 (not (>= _let_116 1)))) (let ((_let_125 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_126 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_118) 1))) (let ((_let_127 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_118))) (let ((_let_128 (not (>= _let_127 0)))) (let ((_let_129 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 0)))) (let ((_let_130 (not (tptp.permut_sub1 tptp.elt7 _let_105 _let_121 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_131 (not (tptp.sorted_sub4 (tptp.tb2t10 _let_121) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_132 (not (>= _let_127 1)))) (let ((_let_133 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 0)))) (let ((_let_134 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_135 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_134))) (let ((_let_136 (not (>= _let_135 1)))) (let ((_let_137 (not (>= _let_135 2)))) (let ((_let_138 (not (>= _let_135 0)))) (let ((_let_139 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 0)))) (let ((_let_140 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0)))) (let ((_let_141 (or _let_140 _let_139 _let_138 _let_137 _let_136 _let_133 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_118 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) 0) _let_132 _let_131 _let_130 (not (forall ((J Int)) (let ((_let_1 (tptp.t2tb J))) (or (not (>= J 0)) (>= (+ J (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 0) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_1))))))) _let_129 _let_128 _let_126 (and _let_125 (or (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_118 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) 1)) _let_124)) _let_123 _let_122 _let_120 _let_119 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_118) 0)) _let_117 _let_114 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_104 _let_100))) (let ((_let_142 (forall ((A Int) (A1 tptp.map_int_elt3) (Lo Int) (BOUND_VARIABLE_3627 Int) (BOUND_VARIABLE_3535 Int) (BOUND_VARIABLE_3533 tptp.map_int_elt3) (BOUND_VARIABLE_3531 tptp.map_int_elt3) (BOUND_VARIABLE_3529 tptp.map_int_elt3) (BOUND_VARIABLE_3527 Int) (BOUND_VARIABLE_3525 Int)) (let ((_let_1 (tptp.t2tb12 A1))) (let ((_let_2 (* (- 1) BOUND_VARIABLE_3627))) (let ((_let_3 (+ A _let_2))) (let ((_let_4 (tptp.mk_array1 tptp.elt7 A _let_1))) (let ((_let_5 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 BOUND_VARIABLE_3531)))) (let ((_let_6 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 BOUND_VARIABLE_3533)))) (let ((_let_7 (tptp.tb2t10 _let_6))) (let ((_let_8 (* (- 1) BOUND_VARIABLE_3535))) (let ((_let_9 (+ A _let_8))) (let ((_let_10 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 BOUND_VARIABLE_3529)))) (let ((_let_11 (* (- 1) BOUND_VARIABLE_3527))) (let ((_let_12 (+ A _let_11))) (let ((_let_13 (+ A (* (- 1) Lo)))) (or (not (>= A 0)) (not (>= Lo 0)) (not (>= _let_13 0)) (not (>= _let_13 2)) (not (>= _let_13 1)) (not (>= BOUND_VARIABLE_3525 0)) (>= (+ Lo BOUND_VARIABLE_3525 _let_11) 0) (not (>= _let_12 1)) (not (tptp.sorted_sub4 (tptp.tb2t10 _let_10) Lo BOUND_VARIABLE_3527)) (not (tptp.permut_sub1 tptp.elt7 _let_4 _let_10 Lo A)) (not (forall ((J Int)) (let ((_let_1 (tptp.t2tb J))) (or (not (>= J 0)) (not (>= (+ Lo (* (- 1) J)) 1)) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 A1) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 BOUND_VARIABLE_3529) _let_1))))))) (not (>= BOUND_VARIABLE_3527 0)) (not (>= _let_12 0)) (>= (+ Lo _let_11) 1) (and (not (= A BOUND_VARIABLE_3535)) (or (>= (+ BOUND_VARIABLE_3525 BOUND_VARIABLE_3527 _let_8) 0) (not (>= _let_9 1)))) (not (tptp.sorted_sub4 _let_7 BOUND_VARIABLE_3527 BOUND_VARIABLE_3535)) (not (tptp.permut_sub1 tptp.elt7 _let_10 _let_6 BOUND_VARIABLE_3527 A)) (not (forall ((J Int)) (let ((_let_1 (tptp.t2tb J))) (or (not (>= J 0)) (>= (+ J (* (- 1) BOUND_VARIABLE_3527)) 0) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 BOUND_VARIABLE_3529) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 BOUND_VARIABLE_3533) _let_1))))))) (not (tptp.permut_sub1 tptp.elt7 _let_4 _let_6 Lo A)) (>= (+ BOUND_VARIABLE_3527 _let_8) 1) (not (>= _let_9 0)) (not (tptp.sorted_sub4 _let_7 Lo BOUND_VARIABLE_3527)) (not (tptp.sorted_sub4 (tptp.tb2t10 _let_5) Lo BOUND_VARIABLE_3535)) (not (tptp.permut3 tptp.elt7 _let_6 _let_5 Lo BOUND_VARIABLE_3535)) (not (forall ((I1 Int)) (let ((_let_1 (tptp.t2tb I1))) (let ((_let_2 (* (- 1) I1))) (or (and (or (not (>= I1 0)) (not (>= (+ Lo _let_2) 1))) (or (not (>= (+ I1 (* (- 1) BOUND_VARIABLE_3535)) 0)) (not (>= (+ A _let_2) 1)))) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 BOUND_VARIABLE_3533) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 BOUND_VARIABLE_3531) _let_1)))))))) (tptp.permut_sub1 tptp.elt7 _let_6 _let_5 Lo BOUND_VARIABLE_3535) (>= (+ Lo _let_2) 0) (not (>= _let_3 0)) (not (tptp.sorted_sub4 (tptp.tb2t10 _let_4) Lo BOUND_VARIABLE_3627)) (and (>= _let_3 1) (tptp.le4 (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_1 (tptp.t2tb (+ (- 1) BOUND_VARIABLE_3627)))) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int _let_1 (tptp.t2tb BOUND_VARIABLE_3627))))) (= A BOUND_VARIABLE_3627)))))))))))))))))) (let ((_let_143 (not _let_141))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (or))) (let ((_let_146 (not _let_142))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_144) :args (_let_146)) (REWRITE :args ((=> _let_146 (not (or _let_140 _let_139 _let_138 _let_137 _let_136 _let_133 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_118) 0) _let_132 _let_131 _let_130 (not (forall ((J Int)) (let ((_let_1 (tptp.t2tb J))) (or (not (>= J 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (* (- 1) J)) 1)) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_1))))))) _let_129 _let_128 _let_126 (and _let_125 (or (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_115) 0) _let_124)) _let_123 _let_122 _let_120 _let_119 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_115) 1) _let_117 _let_114 _let_112 _let_111 (not (forall ((I1 Int)) (let ((_let_1 (tptp.t2tb I1))) (let ((_let_2 (* (- 1) I1))) (or (and (or (not (>= I1 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_2) 1))) (or (not (>= (+ I1 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_2) 1)))) (= (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_1)) (tptp.tb2t11 (tptp.get tptp.elt7 tptp.int (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_1)))))))) _let_109 _let_108 _let_107 _let_106 _let_104 _let_100))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_146) _let_142))) (REFL :args (_let_143)) :args _let_145)) _let_144 :args (_let_143 true _let_142)))) (let ((_let_148 (REFL :args (_let_141)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 24)) (CONG _let_148 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_99))) :args _let_145)) :args ((or _let_99 _let_141))) _let_147 :args (_let_99 true _let_141)))) (let ((_let_150 (_let_99))) (let ((_let_151 ((tptp.t2tb I1)))) (let ((_let_152 (ASSUME :args _let_150))) (let ((_let_153 (tptp.sort1 tptp.elt7 _let_76))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_93))) (let ((_let_156 (tptp.sort1 tptp.elt7 _let_77))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_157 _let_94))) (let ((_let_159 (not _let_16))) (let ((_let_160 (not _let_12))) (let ((_let_161 (and _let_12 _let_16 _let_91 _let_93 _let_94))) (let ((_let_162 (ASSUME :args (_let_93)))) (let ((_let_163 (APPLY_UF tptp.t2tb11))) (let ((_let_164 (APPLY_UF tptp.tb2t11))) (let ((_let_165 (APPLY_UF tptp.get))) (let ((_let_166 (REFL :args (_let_75)))) (let ((_let_167 (ASSUME :args (_let_16)))) (let ((_let_168 (SYMM (SYMM _let_167)))) (let ((_let_169 (REFL :args (tptp.int)))) (let ((_let_170 (REFL :args (tptp.elt7)))) (let ((_let_171 (ASSUME :args (_let_91)))) (let ((_let_172 (ASSUME :args (_let_12)))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (ASSUME :args (_let_94)))) (let ((_let_175 (not _let_73))) (let ((_let_176 (_let_175))) (let ((_let_177 (= _let_109 _let_71))) (let ((_let_178 (not _let_71))) (let ((_let_179 (_let_3))) (let ((_let_180 (ASSUME :args _let_179))) (let ((_let_181 (_let_63))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_181)) :args _let_181) (REWRITE :args ((=> _let_63 (not (or _let_57 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_136 _let_134) 0) _let_22))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_59))) (REFL :args (_let_60)) :args _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_61 _let_63 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_71)) :args ((or _let_111 _let_71 _let_72 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 23)) (CONG _let_148 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_70))) :args _let_145)) :args ((or _let_70 _let_141))) _let_147 :args (_let_70 true _let_141)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_177)) :args ((or _let_109 _let_178 (not _let_177)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_141 25)) _let_147 :args ((not _let_109) true _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (tptp.elt7 _let_10 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.permut_sub1 A A1 A2 L U)))) :args _let_179)) _let_180 :args (_let_177 false _let_3)) :args (_let_178 true _let_109 false _let_177)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_74)) :args ((or _let_69 _let_175 (not _let_74)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_176)) :args _let_176) (REWRITE :args ((=> _let_175 (not (or (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135 _let_115) 0)) _let_81 _let_78))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_175) _let_73))) (REFL :args ((not _let_84))) :args _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_161)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_162 _let_167 _let_171 _let_172 _let_174) (SCOPE (TRANS (SYMM (SYMM _let_174)) (CONG (CONG (CONG _let_170 _let_169 _let_173 _let_166 :args _let_165) :args _let_164) :args _let_163) (CONG (TRANS (SYMM (SYMM _let_171)) (CONG (CONG _let_170 _let_169 _let_168 _let_166 :args _let_165) :args _let_164)) :args _let_163) (SYMM _let_162)) :args (_let_93 _let_16 _let_91 _let_12 _let_94))) :args (_let_12 _let_16 _let_91 _let_93 _let_94))) :args (true _let_161)) :args ((or _let_160 _let_159 _let_78 (not _let_91) (not _let_93) (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_157 _let_94 (not _let_158)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.int tptp.elt7 _let_11 _let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_156 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_77 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_158 false _let_43)) :args (_let_94 false _let_156 false _let_158)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_154 _let_93 (not _let_155)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.int tptp.elt7 _let_15 _let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_153 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_155 false _let_43)) :args (_let_93 false _let_153 false _let_155)) _let_39 _let_35 (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_90 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_152 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_135 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150))) _let_149 :args (_let_92 false _let_99)) (REORDERING (CNF_AND_POS :args (_let_90 1)) :args ((or _let_89 (not _let_90)))) (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_83 _let_88 (not _let_89)))) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_88)) :args ((< _let_86 1))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_98)) :args ((< _let_80 0)))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_85)) :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_79) 0))) :args (1.0 1.0 (- 1.0))) :args (false)) :args (_let_98 _let_85 _let_88))) :args ((or _let_81 _let_97 _let_87))) :args ((or _let_97 _let_81 _let_87))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.mk_array1 A U U1)))) :args (_let_95))) _let_96 :args (_let_85 false _let_95)) (CNF_OR_NEG :args (_let_84 2)) (CNF_OR_NEG :args (_let_84 1)) (REORDERING (CNF_OR_NEG :args (_let_84 0)) :args ((or (not _let_83) _let_84))) :args (_let_84 false _let_94 false _let_93 false _let_16 false _let_12 false _let_91 false _let_92 true _let_90 true _let_89 false _let_87 false _let_85 true _let_78 true _let_81 true _let_83)) :args (_let_73 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.elt7 _let_11 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66))) _let_65 :args (_let_74 false _let_64)) :args (_let_69 false _let_73 false _let_74)) :args (_let_72 false _let_70 true _let_71 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.elt7 _let_11 _let_15 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66))) _let_65 :args (_let_62 false _let_64)) :args (_let_63 true _let_61 false _let_62)) :args (_let_60 true _let_59)))) (let ((_let_183 (or _let_57 _let_55))) (let ((_let_184 (and _let_183 (or (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_53) 1) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_53) 1)))))) (let ((_let_185 (or _let_184 _let_23))) (let ((_let_186 (not _let_184))) (let ((_let_187 (not _let_183))) (let ((_let_188 (REFL :args (_let_58)))) (let ((_let_189 (and _let_12 _let_16 _let_23 _let_19 _let_21))) (let ((_let_190 (ASSUME :args (_let_19)))) (let ((_let_191 (REFL :args (_let_17)))) (let ((_let_192 (ASSUME :args (_let_23)))) (let ((_let_193 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_189)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_190 _let_167 _let_192 _let_172 _let_193) (SCOPE (TRANS (SYMM (SYMM _let_193)) (CONG (TRANS (CONG (CONG _let_170 _let_169 _let_173 _let_191 :args _let_165) :args _let_164) (SYMM (SYMM _let_192)) (CONG (CONG _let_170 _let_169 _let_168 _let_191 :args _let_165) :args _let_164)) :args _let_163) (SYMM _let_190)) :args (_let_19 _let_16 _let_23 _let_12 _let_21))) :args (_let_12 _let_16 _let_23 _let_19 _let_21))) :args (true _let_189)) :args ((or _let_160 _let_159 _let_22 (not _let_23) (not _let_19) (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_23 _let_184 (not _let_185)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_184 0)) :args ((or _let_183 _let_186))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_57 _let_55 _let_187))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 0)) (CONG _let_188 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_145)) :args ((or _let_56 _let_58))) _let_182 :args (_let_56 true _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 1)) (CONG _let_188 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_145)) :args ((or _let_54 _let_58))) _let_182 :args (_let_54 true _let_58)) :args (_let_187 false _let_56 false _let_54)) :args (_let_186 true _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_152 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150))) _let_149 :args (_let_185 false _let_99)) :args (_let_23 true _let_184 false _let_185)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 2)) _let_182 :args ((not _let_22) true _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_21 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.int tptp.elt7 _let_11 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_50 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_52 false _let_43)) :args (_let_21 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_19 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.int tptp.elt7 _let_15 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_40 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_19 false _let_40 false _let_42)) _let_39 _let_35 :args (false false _let_23 true _let_22 false _let_21 false _let_19 false _let_16 false _let_12)) :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))))) _let_8 (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))) (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)))) (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))) _let_7 (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map tptp.int A) (tptp.elts A X))) _let_6 (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array1 A (tptp.length1 A U) (tptp.elts A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort1 A (tptp.get2 A X X1))) (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb X))) (forall ((I Int)) (= (tptp.tb2t (tptp.t2tb I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)) (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.length1 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.make1 A X X1))) (forall ((A tptp.ty) (N Int) (V tptp.uni)) (= (tptp.make1 A N V) (tptp.mk_array1 A N (tptp.const A tptp.int V)))) (forall ((X tptp.elt6)) (tptp.le4 X X)) (forall ((X tptp.elt6) (Y tptp.elt6) (Z tptp.elt6)) (=> (tptp.le4 X Y) (=> (tptp.le4 Y Z) (tptp.le4 X Z)))) (forall ((X tptp.elt6) (Y tptp.elt6)) (or (tptp.le4 X Y) (tptp.le4 Y X))) (forall ((X tptp.array_elt3)) (tptp.sort1 (tptp.array tptp.elt7) (tptp.t2tb10 X))) (forall ((I tptp.array_elt3)) (= (tptp.tb2t10 (tptp.t2tb10 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb10 (tptp.tb2t10 J)) J)) (forall ((X tptp.elt6)) (tptp.sort1 tptp.elt7 (tptp.t2tb11 X))) (forall ((I tptp.elt6)) (= (tptp.tb2t11 (tptp.t2tb11 I)) I)) _let_5 (forall ((A tptp.array_elt3) (L Int) (U Int)) (= (tptp.sorted_sub4 A L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb10 A))) (=> (and (<= L I1) (<= I1 I2) (< I2 U)) (tptp.le4 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I1)) (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I2)))))))) (forall ((A tptp.array_elt3)) (= (tptp.sorted4 A) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb10 A))) (=> (and (<= 0 I1) (<= I1 I2) (< I2 (tptp.length1 tptp.elt7 _let_1))) (tptp.le4 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I1)) (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I2)))))))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.ref A) (tptp.mk_ref A X))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.contents A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.contents A (tptp.mk_ref A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 (tptp.ref A) U) (= U (tptp.mk_ref A (tptp.contents A U))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (<= U L) (= (tptp.occ1 A V M L U) 0))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (- U 1))) (=> (tptp.sort1 A V) (=> (< L U) (=> (not (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V)) (= (tptp.occ1 A V M L U) (tptp.occ1 A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (- U 1))) (=> (< L U) (=> (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V) (= (tptp.occ1 A V M L U) (+ 1 (tptp.occ1 A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.occ1 A V M L U))) (=> (<= L U) (and (<= 0 _let_1) (<= _let_1 (- U L)))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (Mid Int) (U Int)) (=> (and (<= L Mid) (<= Mid U)) (= (tptp.occ1 A V M L U) (+ (tptp.occ1 A V M L Mid) (tptp.occ1 A V M Mid U))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort1 A V) (=> (forall ((I Int)) (=> (and (<= L I) (< I U)) (not (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))) (= (tptp.occ1 A V M L U) 0)))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort1 A V) (=> (< 0 (tptp.occ1 A V M L U)) (exists ((I Int)) (and (<= L I) (< I U) (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))))) (forall ((A tptp.ty) (M tptp.uni) (L Int) (U Int) (I Int)) (=> (and (<= L I) (< I U)) (< 0 (tptp.occ1 A (tptp.get A tptp.int M (tptp.t2tb I)) M L U)))) (forall ((A tptp.ty) (V tptp.uni) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (=> (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (=> (and (<= L I) (< I U)) (= (tptp.get A tptp.int M1 _let_1) (tptp.get A tptp.int M2 _let_1))))) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) (forall ((A tptp.ty) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.permut2 A M1 M2 L U))) (and (=> _let_1 (forall ((V tptp.uni)) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) (=> (forall ((V tptp.uni)) (=> (tptp.sort1 A V) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) _let_1)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (A3 tptp.uni) (L Int) (U Int)) (=> (tptp.permut2 A A1 A2 L U) (=> (tptp.permut2 A A2 A3 L U) (tptp.permut2 A A1 A3 L U)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int)) (=> (tptp.permut2 A A1 A2 L U) (=> (and (<= L I) (< I U)) (exists ((J Int)) (and (<= L J) (< J U) (= (tptp.get A tptp.int A1 (tptp.t2tb J)) (tptp.get A tptp.int A2 (tptp.t2tb I)))))))) _let_4 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.array_eq_sub1 A A1 A2 L U) (and (= _let_1 (tptp.length1 A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.map_eq_sub1 A (tptp.elts A A1) (tptp.elts A A2) L U))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.array_eq A A1 A2) (and (= _let_1 (tptp.length1 A A2)) (tptp.map_eq_sub1 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int) (J Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.t2tb J))) (= (tptp.exchange2 A A1 A2 L U I J) (and (<= L I) (< I U) (<= L J) (< J U) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_2)) (= (tptp.get A tptp.int A1 _let_2) (tptp.get A tptp.int A2 _let_1)) (forall ((K Int)) (let ((_let_1 (tptp.t2tb K))) (=> (and (<= L K) (< K U)) (=> (not (= K I)) (=> (not (= K J)) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1)))))))))))) (forall ((A tptp.ty) (A1 tptp.uni) (L Int) (U Int) (I Int) (J Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.t2tb J))) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (tptp.exchange2 A A1 (tptp.set A tptp.int (tptp.set A tptp.int A1 _let_1 (tptp.get A tptp.int A1 _let_2)) _let_2 (tptp.get A tptp.int A1 _let_1)) L U I J)))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.exchange3 A A1 A2 I J) (and (= _let_1 (tptp.length1 A A2)) (tptp.exchange2 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1 I J))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.permut3 A A1 A2 L U) (and (= _let_1 (tptp.length1 A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.permut2 A (tptp.elts A A1) (tptp.elts A A2) L U))))) _let_3 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.permut_all A A1 A2) (and (= _let_1 (tptp.length1 A A2)) (tptp.permut2 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int) (L Int) (U Int)) (=> (tptp.exchange3 A A1 A2 I J) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (=> (<= 0 L) (=> (<= U (tptp.length1 A A1)) (tptp.permut_sub1 A A1 A2 L U))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L1 Int) (U1 Int) (L2 Int) (U2 Int)) (=> (tptp.permut_sub1 A A1 A2 L1 U1) (=> (and (<= 0 L2) (<= L2 L1)) (=> (and (<= U1 U2) (<= U2 (tptp.length1 A A1))) (tptp.permut_sub1 A A1 A2 L2 U2))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (=> (tptp.exchange3 A A1 A2 I J) (tptp.permut_all A A1 A2))) (forall ((X Int)) (let ((_let_1 (tptp.abs X))) (let ((_let_2 (<= 0 X))) (and (=> _let_2 (= _let_1 X)) (=> (not _let_2) (= _let_1 (- X))))))) (forall ((X Int) (Y Int)) (= (<= (tptp.abs X) Y) (and (<= (- Y) X) (<= X Y)))) (forall ((X Int)) (<= 0 (tptp.abs X))) (forall ((X Int) (Y Int)) (=> (not (= Y 0)) (= X (+ (* Y (tptp.div X Y)) (tptp.mod X Y))))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.div X Y))) (=> (and (<= 0 X) (< 0 Y)) (and (<= 0 _let_1) (<= _let_1 X))))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.abs Y))) (let ((_let_2 (tptp.mod X Y))) (=> (not (= Y 0)) (and (< (- _let_1) _let_2) (< _let_2 _let_1)))))) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< 0 Y)) (<= 0 (tptp.div X Y)))) (forall ((X Int) (Y Int)) (=> (and (<= X 0) (< 0 Y)) (<= (tptp.div X Y) 0))) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (not (= Y 0))) (<= 0 (tptp.mod X Y)))) (forall ((X Int) (Y Int)) (=> (and (<= X 0) (not (= Y 0))) (<= (tptp.mod X Y) 0))) (forall ((X Int) (Y Int)) (=> (not (= Y 0)) (<= (tptp.abs (* (tptp.div X Y) Y)) (tptp.abs X)))) (forall ((X Int)) (= (tptp.div X 1) X)) (forall ((X Int)) (= (tptp.mod X 1) 0)) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< X Y)) (= (tptp.div X Y) 0))) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< X Y)) (= (tptp.mod X Y) X))) (forall ((X Int) (Y Int) (Z Int)) (=> (and (< 0 X) (<= 0 Y) (<= 0 Z)) (= (tptp.div (+ (* X Y) Z) X) (+ Y (tptp.div Z X))))) (forall ((X Int) (Y Int) (Z Int)) (=> (and (< 0 X) (<= 0 Y) (<= 0 Z)) (= (tptp.mod (+ (* X Y) Z) X) (tptp.mod Z X)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.max X Y))) (and (<= X _let_1) (<= Y _let_1)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.max X Y))) (or (= _let_1 X) (= _let_1 Y)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.min X Y))) (and (<= _let_1 X) (<= _let_1 Y)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.min X Y))) (or (= _let_1 X) (= _let_1 Y)))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.max X Y) X))) (forall ((X Int) (Y Int)) (=> (<= X Y) (= (tptp.max X Y) Y))) (forall ((X Int) (Y Int)) (=> (<= X Y) (= (tptp.min X Y) X))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.min X Y) Y))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.max X Y) (tptp.max Y X)))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.min X Y) (tptp.min Y X)))) _let_2 (forall ((I tptp.map_int_elt3)) (= (tptp.tb2t12 (tptp.t2tb12 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int tptp.elt7) J) (= (tptp.t2tb12 (tptp.tb2t12 J)) J))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.56/15.94 )
% 15.56/15.94 % SZS output end Proof for SWW623_2
% 15.56/15.94 % cvc5---1.0.5 exiting
% 15.56/15.94 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------