TSTP Solution File: SWW635_2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW635_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 00:21:46 EDT 2023
% Result : Theorem 15.91s 16.12s
% Output : Proof 15.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW635_2 : TPTP v8.1.2. Released v6.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n027.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 : Sun Aug 27 22:54:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.50 %----Proving TF0_ARI
% 15.91/16.12 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jrAWUrnxOI/cvc5---1.0.5_30675.p...
% 15.91/16.12 ------- get file name : TPTP file name is SWW635_2
% 15.91/16.12 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30675.smt2...
% 15.91/16.12 --- Run --finite-model-find --decision=internal at 15...
% 15.91/16.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.91/16.12 % SZS status Theorem for SWW635_2
% 15.91/16.12 % SZS output start Proof for SWW635_2
% 15.91/16.12 (
% 15.91/16.12 (let ((_let_1 (not (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int) (S Int) (Sol tptp.map_int_lpmap_int_intrp) (K Int) (Col tptp.map_int_int)) (let ((_let_1 (tptp.t2tb A))) (=> (and (<= 0 K) (= (+ K (tptp.cardinal1 tptp.int _let_1)) tptp.n1) (<= 0 S) (forall ((I Int)) (= (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb A)) (and (<= 0 I) (< I tptp.n1) (forall ((J Int)) (=> (and (<= 0 J) (< J K)) (not (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 Col) (tptp.t2tb1 J))) I))))))) (forall ((I Int)) (=> (<= 0 I) (= (not (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb B))) (forall ((J Int)) (=> (and (<= 0 J) (< J K)) (not (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 Col) (tptp.t2tb1 J))) (- (+ I J) K)))))))) (forall ((I Int)) (=> (<= 0 I) (= (not (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb C))) (forall ((J Int)) (=> (and (<= 0 J) (< J K)) (not (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 Col) (tptp.t2tb1 J))) (- (+ I K) J)))))))) (tptp.partial_solution1 K Col)) (=> (not (tptp.is_empty tptp.int _let_1)) (forall ((F Int) (E tptp.set_int) (S1 Int) (Sol1 tptp.map_int_lpmap_int_intrp) (K1 Int) (Col1 tptp.map_int_int)) (let ((_let_1 (tptp.t2tb E))) (let ((_let_2 (- S1 S))) (=> (and (= F _let_2) (<= 0 _let_2) (= K1 K) (tptp.subset tptp.int _let_1 (tptp.diff tptp.int (tptp.diff tptp.int (tptp.t2tb A) (tptp.t2tb B)) (tptp.t2tb C))) (tptp.partial_solution1 K1 Col1) (tptp.sorted1 Sol1 S S1) (forall ((I Int) (J Int)) (let ((_let_1 (tptp.t2tb E))) (=> (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.diff tptp.int (tptp.diff tptp.int (tptp.diff tptp.int (tptp.t2tb A) (tptp.t2tb B)) (tptp.t2tb C)) _let_1)) (=> (tptp.mem tptp.int (tptp.t2tb1 J) _let_1) (< I J))))) (forall ((T tptp.map_int_int)) (let ((_let_1 (tptp.t2tb2 T))) (= (and (tptp.partial_solution1 tptp.n1 T) (tptp.eq_prefix1 tptp.int (tptp.t2tb2 Col1) _let_1 K1) (tptp.mem tptp.int (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb1 K1)) (tptp.diff tptp.int (tptp.diff tptp.int (tptp.diff tptp.int (tptp.t2tb A) (tptp.t2tb B)) (tptp.t2tb C)) (tptp.t2tb E)))) (exists ((I Int)) (and (<= S I) (< I S1) (tptp.eq_prefix1 tptp.int (tptp.t2tb2 T) (tptp.get (tptp.map tptp.int tptp.int) tptp.int (tptp.t2tb3 Sol1) (tptp.t2tb1 I)) tptp.n1)))))) (tptp.eq_prefix1 tptp.int (tptp.t2tb2 Col) (tptp.t2tb2 Col1) K1) (tptp.eq_prefix1 (tptp.map tptp.int tptp.int) (tptp.t2tb3 Sol) (tptp.t2tb3 Sol1) S)) (=> (not (tptp.is_empty tptp.int _let_1)) (forall ((Col2 tptp.map_int_int)) (=> (= Col2 (tptp.tb2t2 (tptp.set1 tptp.int tptp.int (tptp.t2tb2 Col1) (tptp.t2tb1 K1) (tptp.t2tb1 (tptp.min_elt1 E))))) (forall ((K2 Int)) (=> (= K2 (+ K1 1)) (forall ((I Int)) (=> (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.remove tptp.int (tptp.t2tb1 (tptp.min_elt1 E)) (tptp.t2tb A))) (forall ((J Int)) (=> (and (<= 0 J) (< J K2)) (not (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 Col2) (tptp.t2tb1 J))) I)))))))))))))))))))))) (let ((_let_2 (forall ((J tptp.uni)) (= (tptp.t2tb2 (tptp.tb2t2 J)) J)))) (let ((_let_3 (forall ((A tptp.ty) (T tptp.uni) (U tptp.uni) (I Int)) (= (tptp.eq_prefix1 A T U I) (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 K))) (=> (and (<= 0 K) (< K I)) (= (tptp.get A tptp.int T _let_1) (tptp.get A tptp.int U _let_1))))))))) (let ((_let_4 (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.set1 B A M A1 B1) A2) (tptp.get B A M A2))))))))) (let ((_let_5 (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.set1 B A M A1 B1) A2) B1)))))) (let ((_let_6 (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)))) (let ((_let_7 (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb1 X))))) (let ((_let_8 (forall ((A tptp.ty) (X tptp.uni) (Y tptp.uni) (S tptp.uni)) (=> (tptp.sort1 A X) (=> (tptp.sort1 A Y) (= (tptp.mem A X (tptp.remove A Y S)) (and (not (= X Y)) (tptp.mem A X S)))))))) (let ((_let_9 (tptp.min_elt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_10 (tptp.t2tb1 _let_9))) (let ((_let_11 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.cardinal1 tptp.int _let_11))) (let ((_let_13 (* (- 1) _let_12))) (let ((_let_14 (+ tptp.n1 _let_13))) (let ((_let_15 (tptp.t2tb1 _let_14))) (let ((_let_16 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_17 (tptp.set1 tptp.int tptp.int _let_16 _let_15 _let_10))) (let ((_let_18 (tptp.t2tb2 (tptp.tb2t2 _let_17)))) (let ((_let_19 (= _let_17 _let_18))) (let ((_let_20 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_21 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_22 (tptp.get tptp.int tptp.int _let_21 _let_20))) (let ((_let_23 (tptp.get tptp.int tptp.int _let_16 _let_20))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (tptp.tb2t1 _let_22))) (let ((_let_26 (tptp.get tptp.int tptp.int _let_18 _let_20))) (let ((_let_27 (tptp.tb2t1 _let_26))) (let ((_let_28 (= _let_27 _let_25))) (let ((_let_29 (= _let_23 (tptp.get tptp.int tptp.int _let_17 _let_20)))) (let ((_let_30 (forall ((J tptp.uni)) (= J (tptp.t2tb2 (tptp.tb2t2 J)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.tb2t2 J)))) :args (_let_30))) _let_31 :args (_let_19 false _let_30)))) (let ((_let_33 (+ tptp.n1 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_13))) (let ((_let_34 (>= _let_33 1))) (let ((_let_35 (not _let_34))) (let ((_let_36 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 0))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_24))) (let ((_let_39 (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 K))) (or (not (>= K 0)) (not (>= (+ tptp.n1 (* (- 1) K) (* (- 1) (tptp.cardinal1 tptp.int (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) 1)) (= (tptp.get tptp.int tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_1) (tptp.get tptp.int tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_1))))))) (let ((_let_40 (tptp.eq_prefix1 tptp.int _let_21 _let_16 _let_14))) (let ((_let_41 (= _let_40 _let_39))) (let ((_let_42 (forall ((A tptp.ty) (T tptp.uni) (U tptp.uni) (I Int)) (= (tptp.eq_prefix1 A T U I) (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 K))) (or (not (>= K 0)) (not (>= (+ I (* (- 1) K)) 1)) (= (tptp.get A tptp.int T _let_1) (tptp.get A tptp.int U _let_1))))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (>= _let_33 0))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.t2tb1 _let_27))) (let ((_let_47 (tptp.mem tptp.int _let_46 (tptp.remove tptp.int _let_10 _let_11)))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_50 (tptp.is_empty tptp.int _let_49))) (let ((_let_51 (not (tptp.eq_prefix1 (tptp.map tptp.int tptp.int) (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_52 (not _let_40))) (let ((_let_53 (not (forall ((I Int) (J Int)) (let ((_let_1 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (or (not (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.diff tptp.int (tptp.diff tptp.int (tptp.diff tptp.int (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_1))) (not (tptp.mem tptp.int (tptp.t2tb1 J) _let_1)) (not (>= (+ I (* (- 1) J)) 0)))))))) (let ((_let_54 (not (tptp.sorted1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (let ((_let_55 (not (tptp.partial_solution1 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_56 (not (tptp.subset tptp.int _let_49 (tptp.diff tptp.int (tptp.diff tptp.int _let_11 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_57 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) 1))) (let ((_let_58 (tptp.is_empty tptp.int _let_11))) (let ((_let_59 (not (tptp.partial_solution1 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_60 (not (forall ((I Int)) (or (not (>= I 0)) (= (not (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (forall ((J Int)) (let ((_let_1 (tptp.cardinal1 tptp.int (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (or (not (>= J 0)) (not (>= (+ tptp.n1 (* (- 1) J) (* (- 1) _let_1)) 1)) (not (= tptp.n1 (+ (* (- 1) I) J _let_1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.t2tb1 J))))))))))))))) (let ((_let_61 (not (forall ((I Int)) (or (not (>= I 0)) (= (not (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (forall ((J Int)) (let ((_let_1 (tptp.cardinal1 tptp.int (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (or (not (>= J 0)) (not (>= (+ tptp.n1 (* (- 1) J) (* (- 1) _let_1)) 1)) (not (= tptp.n1 (+ I J _let_1 (* (- 1) (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.t2tb1 J)))))))))))))))) (let ((_let_62 (forall ((I Int)) (= (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (and (>= I 0) (>= (+ tptp.n1 (* (- 1) I)) 1) (forall ((J Int)) (or (not (>= J 0)) (not (>= (+ tptp.n1 (* (- 1) J) (* (- 1) (tptp.cardinal1 tptp.int (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) 1)) (not (= I (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.t2tb1 J)))))))))))) (let ((_let_63 (not _let_62))) (let ((_let_64 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 0)))) (let ((_let_65 (not (>= _let_14 0)))) (let ((_let_66 (or _let_65 _let_64 _let_63 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 (not (forall ((T tptp.map_int_int)) (let ((_let_1 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (+ tptp.n1 (* (- 1) (tptp.cardinal1 tptp.int _let_1))))) (let ((_let_3 (tptp.t2tb2 T))) (= (and (tptp.partial_solution1 tptp.n1 T) (tptp.eq_prefix1 tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_3 _let_2) (tptp.mem tptp.int (tptp.get tptp.int tptp.int _let_3 (tptp.t2tb1 _let_2)) (tptp.diff tptp.int (tptp.diff tptp.int (tptp.diff tptp.int _let_1 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (not (forall ((I Int)) (or (not (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) 0) (not (tptp.eq_prefix1 tptp.int (tptp.t2tb2 T) (tptp.get (tptp.map tptp.int tptp.int) tptp.int (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.t2tb1 I)) tptp.n1))))))))))) _let_52 _let_51 _let_50 _let_48 _let_37 _let_45))) (let ((_let_67 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int) (S Int) (Sol tptp.map_int_lpmap_int_intrp) (Col tptp.map_int_int) (BOUND_VARIABLE_2826 Int) (BOUND_VARIABLE_2824 tptp.map_int_int) (BOUND_VARIABLE_2822 tptp.map_int_lpmap_int_intrp) (BOUND_VARIABLE_2820 Int) (BOUND_VARIABLE_2818 tptp.set_int)) (let ((_let_1 (tptp.t2tb A))) (let ((_let_2 (* (- 1) (tptp.cardinal1 tptp.int _let_1)))) (let ((_let_3 (tptp.t2tb1 (tptp.min_elt1 BOUND_VARIABLE_2818)))) (let ((_let_4 (+ tptp.n1 _let_2))) (let ((_let_5 (tptp.t2tb2 BOUND_VARIABLE_2824))) (let ((_let_6 (tptp.t2tb BOUND_VARIABLE_2818))) (or (not (>= _let_4 0)) (not (>= S 0)) (not (forall ((I Int)) (= (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb A)) (and (>= I 0) (>= (+ tptp.n1 (* (- 1) I)) 1) (forall ((J Int)) (or (not (>= J 0)) (not (>= (+ tptp.n1 (* (- 1) J) (* (- 1) (tptp.cardinal1 tptp.int (tptp.t2tb A)))) 1)) (not (= I (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 Col) (tptp.t2tb1 J))))))))))) (not (forall ((I Int)) (or (not (>= I 0)) (= (not (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb B))) (forall ((J Int)) (let ((_let_1 (tptp.cardinal1 tptp.int (tptp.t2tb A)))) (or (not (>= J 0)) (not (>= (+ tptp.n1 (* (- 1) J) (* (- 1) _let_1)) 1)) (not (= tptp.n1 (+ I J _let_1 (* (- 1) (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 Col) (tptp.t2tb1 J)))))))))))))) (not (forall ((I Int)) (or (not (>= I 0)) (= (not (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb C))) (forall ((J Int)) (let ((_let_1 (tptp.cardinal1 tptp.int (tptp.t2tb A)))) (or (not (>= J 0)) (not (>= (+ tptp.n1 (* (- 1) J) (* (- 1) _let_1)) 1)) (not (= tptp.n1 (+ (* (- 1) I) J _let_1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 Col) (tptp.t2tb1 J))))))))))))) (not (tptp.partial_solution1 _let_4 Col)) (tptp.is_empty tptp.int _let_1) (>= (+ S (* (- 1) BOUND_VARIABLE_2820)) 1) (not (tptp.subset tptp.int _let_6 (tptp.diff tptp.int (tptp.diff 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BOUND_VARIABLE_2824) _let_3 _let_2) (tptp.mem tptp.int (tptp.get tptp.int tptp.int _let_3 (tptp.t2tb1 _let_2)) (tptp.diff tptp.int (tptp.diff tptp.int (tptp.diff tptp.int _let_1 (tptp.t2tb B)) (tptp.t2tb C)) (tptp.t2tb BOUND_VARIABLE_2818)))))))))) (not (tptp.eq_prefix1 tptp.int (tptp.t2tb2 Col) _let_5 _let_4)) (not (tptp.eq_prefix1 (tptp.map tptp.int tptp.int) (tptp.t2tb3 Sol) (tptp.t2tb3 BOUND_VARIABLE_2822) S)) (tptp.is_empty tptp.int _let_6) (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 (tptp.tb2t2 (tptp.set1 tptp.int tptp.int _let_5 (tptp.t2tb1 _let_4) _let_3))) (tptp.t2tb1 BOUND_VARIABLE_2826)))) (tptp.remove tptp.int _let_3 _let_1))) (not (>= BOUND_VARIABLE_2826 0)) (not (>= (+ tptp.n1 (* (- 1) BOUND_VARIABLE_2826) _let_2) 0)))))))))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (or))) (let ((_let_71 (not _let_67))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_69) :args (_let_71)) (REWRITE :args ((=> _let_71 (not (or _let_65 _let_64 _let_63 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 (not (forall ((T tptp.map_int_int)) (let ((_let_1 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (+ tptp.n1 (* (- 1) (tptp.cardinal1 tptp.int _let_1))))) (let ((_let_3 (tptp.t2tb2 T))) (= (not (forall ((I Int)) (or (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (* (- 1) I)) 1) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) 0) (not (tptp.eq_prefix1 tptp.int (tptp.t2tb2 T) (tptp.get (tptp.map tptp.int tptp.int) tptp.int (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.t2tb1 I)) tptp.n1))))) (and (tptp.partial_solution1 tptp.n1 T) (tptp.eq_prefix1 tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_3 _let_2) (tptp.mem tptp.int (tptp.get tptp.int tptp.int _let_3 (tptp.t2tb1 _let_2)) (tptp.diff tptp.int 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(ARITH_TRICHOTOMY _let_122 (MACRO_SR_PRED_TRANSFORM _let_121 :args ((not (= _let_33 0)))) :args ((> _let_33 0)))) :args _let_120)) :args _let_120)) :args (true _let_119)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_75))) (REFL :args (_let_34)) :args _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 18)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_70)) :args ((or _let_44 _let_66))) _let_72 :args (_let_44 true _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_75)) :args _let_113) _let_115 _let_117) (SCOPE (TRANS _let_118 (CONG _let_114 _let_114 _let_116 (REFL :args (_let_15)) :args _let_112) (CONG _let_114 _let_114 (REFL :args (_let_18)) (CONG (SYMM (ASSUME :args _let_113)) :args (APPLY_UF tptp.t2tb1)) :args _let_112) _let_111) :args (_let_76 _let_109 _let_19 _let_77))) :args (_let_75 _let_76 _let_77 _let_19))) :args (true _let_108)) :args ((or _let_79 _let_78 _let_107 _let_106 _let_105))) _let_104 _let_92 _let_32 _let_82 :args (_let_79 true _let_78 false _let_77 false _let_19 false _let_76)) :args (_let_34 false _let_44 true _let_75)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 17)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_70)) :args ((or _let_36 _let_66))) _let_72 :args (_let_36 true _let_66)))) (let ((_let_125 (not _let_28))) (let ((_let_126 (or _let_37 _let_35 _let_125))) (let ((_let_127 (forall ((J Int)) (let ((_let_1 (* (- 1) (tptp.cardinal1 tptp.int (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (or (not (>= J 0)) (not (>= (+ tptp.n1 (* (- 1) J) _let_1) 1)) (not (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.t2tb1 J))) (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 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_let_132))) :args (true _let_141)) :args ((or _let_78 _let_107 _let_106 _let_105 _let_140))) _let_104 _let_82 _let_92 _let_32 :args (_let_140 true _let_78 false _let_76 false _let_77 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_135 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.int tptp.int _let_16 _let_15 _let_20 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.get B A (tptp.set1 B A M A1 BOUND_VARIABLE_2161) A2)))) :args (_let_138))) _let_139 :args (_let_137 false _let_138)) :args (_let_29 false _let_133 true _let_132 false _let_135 false _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_37 _let_35 _let_125 (not _let_126)))) _let_124 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_131) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.t2tb1 J)))) :args _let_131))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 2)) :args ((or _let_127 (not _let_128)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_129)) :args ((or _let_128 (not _let_93) (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_93 _let_103))) _let_102 :args (_let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_130) :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.t2tb1 I)))) :args _let_130))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 2)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_70)) :args ((or _let_62 _let_66))) _let_72 :args (_let_62 true _let_66)) :args (_let_129 false _let_62)) :args (_let_128 false _let_93 false _let_129)) :args (_let_127 false _let_128)) :args (_let_126 false _let_127)) :args (_let_125 false _let_36 false _let_34 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_35 _let_24 (not _let_38)))) _let_124 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.t2tb1 K)))) :args _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or _let_52 _let_39 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 13)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_40))) :args _let_70)) :args ((or _let_40 _let_66))) _let_72 :args (_let_40 true _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.int _let_21 _let_16 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.eq_prefix1 A T U I)))) :args (_let_42)))) _let_43 :args (_let_41 false _let_42)) :args (_let_39 false _let_40 false _let_41)) :args (_let_38 false _let_39)) :args (_let_24 false _let_36 false _let_34 false _let_38)) _let_32 :args (false false _let_29 true _let_28 false _let_24 false _let_19)) :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 ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni)) (let ((_let_1 (tptp.infix_eqeq A S1 S2))) (and (=> _let_1 (forall ((X tptp.uni)) (= (tptp.mem A X S1) (tptp.mem A X S2)))) (=> (forall ((X tptp.uni)) (=> (tptp.sort1 A X) (= (tptp.mem A X S1) (tptp.mem A X S2)))) _let_1)))) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni)) (let ((_let_1 (tptp.set A))) (=> (tptp.sort1 _let_1 S1) (=> (tptp.sort1 _let_1 S2) (=> (tptp.infix_eqeq A S1 S2) (= S1 S2)))))) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni)) (let ((_let_1 (tptp.subset A S1 S2))) (and (=> _let_1 (forall ((X tptp.uni)) (=> (tptp.mem A X S1) (tptp.mem A X S2)))) (=> (forall ((X tptp.uni)) (=> (tptp.sort1 A X) (=> (tptp.mem A X S1) (tptp.mem A X S2)))) _let_1)))) (forall ((A tptp.ty) (S tptp.uni)) (tptp.subset A S S)) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni) (S3 tptp.uni)) (=> (tptp.subset A S1 S2) (=> (tptp.subset A S2 S3) (tptp.subset A S1 S3)))) (forall ((A tptp.ty)) (tptp.sort1 (tptp.set A) (tptp.empty A))) (forall ((A tptp.ty) (S tptp.uni)) (let ((_let_1 (tptp.is_empty A S))) (and (=> _let_1 (forall ((X tptp.uni)) (not (tptp.mem A X S)))) (=> (forall ((X tptp.uni)) (=> (tptp.sort1 A X) (not (tptp.mem A X S)))) _let_1)))) (forall ((A tptp.ty)) (tptp.is_empty A (tptp.empty A))) (forall ((A tptp.ty) (X tptp.uni)) (= (tptp.mem A X (tptp.empty A)) false)) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.set A) (tptp.add A X X1))) (forall ((A tptp.ty) (X tptp.uni) (Y tptp.uni)) (=> (tptp.sort1 A X) (=> (tptp.sort1 A Y) (forall ((S tptp.uni)) (= (tptp.mem A X (tptp.add A Y S)) (or (= X Y) (tptp.mem A X S))))))) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.set A) (tptp.remove A X X1))) _let_8 (forall ((A tptp.ty) (X tptp.uni) (S tptp.uni)) (=> (tptp.sort1 (tptp.set A) S) (=> (tptp.mem A X S) (= (tptp.add A X (tptp.remove A X S)) S)))) (forall ((A tptp.ty) (X tptp.uni) (S tptp.uni)) (= (tptp.remove A X (tptp.add A X S)) (tptp.remove A X S))) (forall ((A tptp.ty) (X tptp.uni) (S tptp.uni)) (tptp.subset A (tptp.remove A X S) S)) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.set A) (tptp.union A X X1))) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni) (X tptp.uni)) (= (tptp.mem A X (tptp.union A S1 S2)) (or (tptp.mem A X S1) (tptp.mem A X S2)))) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.set A) (tptp.inter A X X1))) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni) (X tptp.uni)) (= (tptp.mem A X (tptp.inter A S1 S2)) (and (tptp.mem A X S1) (tptp.mem A X S2)))) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.set A) (tptp.diff A X X1))) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni) (X tptp.uni)) (= (tptp.mem A X (tptp.diff A S1 S2)) (and (tptp.mem A X S1) (not (tptp.mem A X S2))))) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni)) (tptp.subset A (tptp.diff A S1 S2) S1)) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.choose A X))) (forall ((A tptp.ty) (S tptp.uni)) (=> (not (tptp.is_empty A S)) (tptp.mem A (tptp.choose A S) S))) (forall ((A tptp.ty) (S tptp.uni)) (<= 0 (tptp.cardinal1 A S))) (forall ((A tptp.ty) (S tptp.uni)) (= (= (tptp.cardinal1 A S) 0) (tptp.is_empty A S))) (forall ((A tptp.ty) (X tptp.uni) (S tptp.uni)) (=> (not (tptp.mem A X S)) (= (tptp.cardinal1 A (tptp.add A X S)) (+ 1 (tptp.cardinal1 A S))))) (forall ((A tptp.ty) (X tptp.uni) (S tptp.uni)) (=> (tptp.mem A X S) (= (tptp.cardinal1 A S) (+ 1 (tptp.cardinal1 A (tptp.remove A X S)))))) (forall ((A tptp.ty) (S1 tptp.uni) (S2 tptp.uni)) (=> (tptp.subset A S1 S2) (<= (tptp.cardinal1 A S1) (tptp.cardinal1 A S2)))) (forall ((A tptp.ty) (S tptp.uni)) (=> (= (tptp.cardinal1 A S) 1) (forall ((X tptp.uni)) (=> (tptp.sort1 A X) (=> (tptp.mem A X S) (= X (tptp.choose A S))))))) (forall ((X tptp.set_int)) (tptp.sort1 (tptp.set tptp.int) (tptp.t2tb X))) (forall ((I tptp.set_int)) (= (tptp.tb2t (tptp.t2tb I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)) _let_7 (forall ((I Int)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) _let_6 (forall ((S tptp.set_int)) (let ((_let_1 (tptp.t2tb S))) (=> (not (tptp.is_empty tptp.int _let_1)) (tptp.mem tptp.int (tptp.t2tb1 (tptp.min_elt1 S)) _let_1)))) (forall ((S tptp.set_int)) (=> (not (tptp.is_empty tptp.int (tptp.t2tb S))) (forall ((X Int)) (=> (tptp.mem tptp.int (tptp.t2tb1 X) (tptp.t2tb S)) (<= (tptp.min_elt1 S) X))))) (forall ((S tptp.set_int)) (let ((_let_1 (tptp.t2tb S))) (=> (not (tptp.is_empty tptp.int _let_1)) (tptp.mem tptp.int (tptp.t2tb1 (tptp.max_elt1 S)) _let_1)))) (forall ((S tptp.set_int)) (=> (not (tptp.is_empty tptp.int (tptp.t2tb S))) (forall ((X Int)) (=> (tptp.mem tptp.int (tptp.t2tb1 X) (tptp.t2tb S)) (<= X (tptp.max_elt1 S)))))) (forall ((X Int) (N Int)) (= (tptp.mem tptp.int (tptp.t2tb1 X) (tptp.t2tb (tptp.below1 N))) (and (<= 0 X) (< X N)))) (forall ((N Int)) (let ((_let_1 (tptp.cardinal1 tptp.int (tptp.t2tb (tptp.below1 N))))) (let ((_let_2 (<= 0 N))) (and (=> _let_2 (= _let_1 N)) (=> (not _let_2) (= _let_1 0)))))) (forall ((S tptp.set_int) (I Int)) (= (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb (tptp.succ1 S))) (and (<= 1 I) (tptp.mem tptp.int (tptp.t2tb1 (- I 1)) (tptp.t2tb S))))) (forall ((S tptp.set_int) (I Int)) (= (tptp.mem tptp.int (tptp.t2tb1 I) (tptp.t2tb (tptp.pred1 S))) (and (<= 0 I) (tptp.mem tptp.int (tptp.t2tb1 (+ I 1)) (tptp.t2tb S))))) (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) (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.set1 B A X X1 X2))) _let_5 _let_4 (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))) _let_3 (forall ((X tptp.map_int_int)) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb2 X))) (forall ((I tptp.map_int_int)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)) _let_2 (forall ((K Int) (S tptp.map_int_int)) (= (tptp.partial_solution1 K S) (forall ((I Int)) (let ((_let_1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 S) (tptp.t2tb1 I))))) (=> (and (<= 0 I) (< I K)) (and (<= 0 _let_1) (< _let_1 tptp.n1) (forall ((J Int)) (let ((_let_1 (tptp.t2tb2 S))) (let ((_let_2 (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb1 J))))) (let ((_let_3 (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb1 I))))) (let ((_let_4 (- _let_3 _let_2))) (=> (and (<= 0 J) (< J I)) (and (not (= _let_3 _let_2)) (not (= _let_4 (- I J))) (not (= _let_4 (- J I)))))))))))))))) (forall ((U tptp.map_int_int) (T tptp.map_int_int) (K Int)) (=> (tptp.partial_solution1 K T) (=> (tptp.eq_prefix1 tptp.int (tptp.t2tb2 T) (tptp.t2tb2 U) K) (tptp.partial_solution1 K U)))) (forall ((S1 tptp.map_int_int) (S2 tptp.map_int_int)) (= (tptp.lt_sol1 S1 S2) (exists ((I Int)) (let ((_let_1 (tptp.t2tb1 I))) (let ((_let_2 (tptp.t2tb2 S2))) (let ((_let_3 (tptp.t2tb2 S1))) (and (<= 0 I) (< I tptp.n1) (tptp.eq_prefix1 tptp.int _let_3 _let_2 I) (< (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_3 _let_1)) (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_2 _let_1)))))))))) (forall ((X tptp.map_int_lpmap_int_intrp)) (tptp.sort1 (tptp.map tptp.int (tptp.map tptp.int tptp.int)) (tptp.t2tb3 X))) (forall ((I tptp.map_int_lpmap_int_intrp)) (= (tptp.tb2t3 (tptp.t2tb3 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb3 (tptp.tb2t3 J)) J)) (forall ((S tptp.map_int_lpmap_int_intrp) (A Int) (B Int)) (= (tptp.sorted1 S A B) (forall ((I Int) (J Int)) (let ((_let_1 (tptp.t2tb3 S))) (let ((_let_2 (tptp.map tptp.int tptp.int))) (=> (and (<= A I) (< I J) (< J B)) (tptp.lt_sol1 (tptp.tb2t2 (tptp.get _let_2 tptp.int _let_1 (tptp.t2tb1 I))) (tptp.tb2t2 (tptp.get _let_2 tptp.int _let_1 (tptp.t2tb1 J)))))))))) (forall ((S tptp.map_int_lpmap_int_intrp) (A Int) (B Int)) (=> (tptp.sorted1 S A B) (forall ((I Int) (J Int)) (let ((_let_1 (tptp.t2tb3 S))) (let ((_let_2 (tptp.map tptp.int tptp.int))) (=> (and (<= A I) (< I J) (< J B)) (not (tptp.eq_prefix1 tptp.int (tptp.get _let_2 tptp.int _let_1 (tptp.t2tb1 I)) (tptp.get _let_2 tptp.int _let_1 (tptp.t2tb1 J)) tptp.n1)))))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.91/16.13 )
% 15.91/16.13 % SZS output end Proof for SWW635_2
% 15.91/16.13 % cvc5---1.0.5 exiting
% 15.91/16.13 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------