TSTP Solution File: SWW597_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW597_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 00:21:39 EDT 2023
% Result : Theorem 15.48s 15.77s
% Output : Proof 15.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWW597_2 : TPTP v8.1.2. Released v6.1.0.
% 0.13/0.15 % 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 21:07:19 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_ARI
% 15.48/15.77 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Ql0JyoFLUB/cvc5---1.0.5_3987.p...
% 15.48/15.77 ------- get file name : TPTP file name is SWW597_2
% 15.48/15.77 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3987.smt2...
% 15.48/15.77 --- Run --finite-model-find --decision=internal at 15...
% 15.48/15.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.48/15.77 % SZS status Theorem for SWW597_2
% 15.48/15.77 % SZS output start Proof for SWW597_2
% 15.48/15.77 (
% 15.48/15.77 (let ((_let_1 (not (forall ((A Int) (A1 tptp.map_int_color)) (=> (<= 0 A) (forall ((R Int) (I Int) (B Int) (A2 tptp.map_int_color)) (let ((_let_1 (tptp.t2tb3 A2))) (let ((_let_2 (tptp.mk_array tptp.color1 A _let_1))) (let ((_let_3 (tptp.tb2t1 _let_2))) (=> (and (<= 0 B) (<= B I) (<= I R) (<= R A) (tptp.monochrome _let_3 0 B tptp.blue) (tptp.monochrome _let_3 B I tptp.white) (tptp.monochrome _let_3 R A tptp.red) (tptp.permut_all tptp.color1 (tptp.mk_array tptp.color1 A (tptp.t2tb3 A1)) _let_2)) (=> (< I R) (=> (and (<= 0 A) (<= 0 I) (< I A)) (=> (= (tptp.tb2t2 (tptp.get tptp.color1 tptp.int _let_1 (tptp.t2tb I))) tptp.white) (forall ((I1 Int)) (=> (= I1 (+ I 1)) (tptp.monochrome (tptp.tb2t1 (tptp.mk_array tptp.color1 A (tptp.t2tb3 A2))) B I1 tptp.white)))))))))))))))) (let ((_let_2 (forall ((X tptp.map_int_color)) (tptp.sort (tptp.map tptp.int tptp.color1) (tptp.t2tb3 X))))) (let ((_let_3 (forall ((A tptp.array_color) (I Int) (J Int) (C tptp.color)) (= (tptp.monochrome A I J C) (forall ((K Int)) (=> (and (<= I K) (< K J)) (= (tptp.tb2t2 (tptp.get1 tptp.color1 (tptp.t2tb1 A) K)) C))))))) (let ((_let_4 (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)))) (let ((_let_5 (forall ((A tptp.ty) (A1 tptp.uni) (I Int)) (= (tptp.get1 A A1 I) (tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb I)))))) (let ((_let_6 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (=> (tptp.sort (tptp.map tptp.int A) U1) (= (tptp.elts A (tptp.mk_array A U U1)) U1))))) (let ((_let_7 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (= tptp.white (tptp.tb2t2 (tptp.get tptp.color1 tptp.int _let_8 _let_7))))) (let ((_let_10 (tptp.mk_array tptp.color1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_11 (tptp.tb2t1 _let_10))) (let ((_let_12 (tptp.t2tb1 _let_11))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (tptp.elts tptp.color1 _let_10))) (let ((_let_15 (= _let_8 _let_14))) (let ((_let_16 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93))) (let ((_let_17 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_16))) (let ((_let_18 (>= _let_17 0))) (let ((_let_19 (= tptp.white (tptp.tb2t2 (tptp.get1 tptp.color1 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93))))) (let ((_let_20 (= (tptp.get1 tptp.color1 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.get tptp.color1 tptp.int _let_14 _let_7)))) (let ((_let_21 (>= _let_17 1))) (let ((_let_22 (+ 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (tptp.monochrome _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22 tptp.white))) (let ((_let_24 (not _let_9))) (let ((_let_25 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25) 1)))) (let ((_let_27 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 0)))) (let ((_let_28 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_25))) (let ((_let_29 (not (tptp.permut_all tptp.color1 (tptp.mk_array tptp.color1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_10)))) (let ((_let_30 (not (tptp.monochrome _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.red)))) (let ((_let_31 (tptp.monochrome _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.white))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not (tptp.monochrome _let_11 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.blue)))) (let ((_let_34 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_35 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_34) 0)))) (let ((_let_36 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_37 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 0)))) (let ((_let_38 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0)))) (let ((_let_39 (or _let_38 _let_37 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_36) 0)) (not (>= _let_28 0)) _let_35 _let_33 _let_32 _let_30 _let_29 (not (>= _let_28 1)) _let_27 _let_26 _let_24 _let_23))) (let ((_let_40 (forall ((A Int) (A1 tptp.map_int_color) (BOUND_VARIABLE_2430 tptp.map_int_color) (BOUND_VARIABLE_2428 Int) (BOUND_VARIABLE_2426 Int) (BOUND_VARIABLE_2424 Int)) (let ((_let_1 (tptp.t2tb3 BOUND_VARIABLE_2430))) (let ((_let_2 (tptp.mk_array tptp.color1 A _let_1))) (let ((_let_3 (tptp.tb2t1 _let_2))) (let ((_let_4 (* (- 1) BOUND_VARIABLE_2426))) (let ((_let_5 (* (- 1) BOUND_VARIABLE_2428))) (let ((_let_6 (+ BOUND_VARIABLE_2426 _let_5))) (or (not (>= A 0)) (not (>= BOUND_VARIABLE_2424 0)) (>= (+ BOUND_VARIABLE_2424 _let_4) 1) (>= _let_6 1) (not (>= (+ A _let_5) 0)) (not (tptp.monochrome _let_3 0 BOUND_VARIABLE_2424 tptp.blue)) (not (tptp.monochrome _let_3 BOUND_VARIABLE_2424 BOUND_VARIABLE_2426 tptp.white)) (not (tptp.monochrome _let_3 BOUND_VARIABLE_2428 A tptp.red)) (not (tptp.permut_all tptp.color1 (tptp.mk_array tptp.color1 A (tptp.t2tb3 A1)) _let_2)) (>= _let_6 0) (not (>= BOUND_VARIABLE_2426 0)) (not (>= (+ A _let_4) 1)) (not (= tptp.white (tptp.tb2t2 (tptp.get tptp.color1 tptp.int _let_1 (tptp.t2tb BOUND_VARIABLE_2426))))) (tptp.monochrome _let_3 BOUND_VARIABLE_2424 (+ 1 BOUND_VARIABLE_2426) tptp.white))))))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_34))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_42) :args (_let_44)) (REWRITE :args ((=> _let_44 (not (or _let_38 _let_37 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_25) 1) (>= _let_45 1) _let_35 _let_33 _let_32 _let_30 _let_29 (>= _let_45 0) _let_27 _let_26 _let_24 _let_23))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_47 (REFL :args (_let_39)))) (let ((_let_48 (forall ((J tptp.uni)) (= J (tptp.t2tb1 (tptp.tb2t1 J)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (tptp.sort (tptp.map tptp.int tptp.color1) _let_8))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_15))) (let ((_let_53 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (or (not (tptp.sort (tptp.map tptp.int A) U1)) (= U1 (tptp.elts A (tptp.mk_array A U U1))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_2))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not _let_18))) (let ((_let_58 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_16) 1))) (let ((_let_59 (or _let_58 _let_57 _let_19))) (let ((_let_60 (forall ((K Int)) (or (not (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) 0)) (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 1) (= tptp.white (tptp.tb2t2 (tptp.get1 tptp.color1 (tptp.t2tb1 (tptp.tb2t1 (tptp.mk_array tptp.color1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) K))))))) (let ((_let_61 (not _let_59))) (let ((_let_62 (= _let_23 _let_60))) (let ((_let_63 (not _let_60))) (let ((_let_64 (forall ((A tptp.array_color) (I Int) (J Int) (C tptp.color)) (= (tptp.monochrome A I J C) (forall ((K Int)) (let ((_let_1 (* (- 1) K))) (or (>= (+ I _let_1) 1) (not (>= (+ J _let_1) 1)) (= C (tptp.tb2t2 (tptp.get1 tptp.color1 (tptp.t2tb1 A) K)))))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((tptp.monochrome A I J C)))) (let ((_let_68 (_let_63))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68) (REWRITE :args ((=> _let_63 (not (or (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 _let_36) 0)) (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 _let_25) 1) _let_19))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_60))) (REFL :args (_let_61)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_23 _let_63 (not _let_62)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 13)) _let_46 :args ((not _let_23) true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22 tptp.white QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66))) _let_65 :args (_let_62 false _let_64)) :args (_let_63 true _let_23 false _let_62)) :args (_let_61 true _let_60)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_59 2)) _let_69 :args ((not _let_19) true _let_59)))) (let ((_let_71 (_let_5))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (not _let_21))) (let ((_let_74 (or _let_58 _let_73 _let_19))) (let ((_let_75 (forall ((K Int)) (or (not (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) 0)) (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 0) (= tptp.white (tptp.tb2t2 (tptp.get1 tptp.color1 (tptp.t2tb1 (tptp.tb2t1 (tptp.mk_array tptp.color1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) K))))))) (let ((_let_76 (= _let_31 _let_75))) (let ((_let_77 (_let_75))) (let ((_let_78 (not _let_58))) (let ((_let_79 (not _let_20))) (let ((_let_80 (not _let_13))) (let ((_let_81 (not _let_15))) (let ((_let_82 (and _let_9 _let_15 _let_13 _let_18 _let_20 _let_73))) (let ((_let_83 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93))) (let ((_let_84 (_let_83))) (let ((_let_85 (ASSUME :args (_let_13)))) (let ((_let_86 (REFL :args (tptp.color1)))) (let ((_let_87 (ASSUME :args (_let_20)))) (let ((_let_88 (ASSUME :args (_let_15)))) (let ((_let_89 (ASSUME :args (_let_9)))) (let ((_let_90 (ASSUME :args (_let_73)))) (let ((_let_91 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 (MODUS_PONENS (AND_INTRO _let_91 _let_90) (SCOPE (SYMM (SYMM (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY _let_91 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_90 :args ((< _let_17 1)))) :args ((= _let_17 0))) :args _let_84))) :args (_let_18 _let_73))) _let_87 _let_88 _let_89) (SCOPE (TRANS (SYMM (SYMM _let_89)) (CONG (TRANS (CONG _let_86 (REFL :args (tptp.int)) (SYMM (SYMM _let_88)) (REFL :args (_let_7)) :args (APPLY_UF tptp.get)) (SYMM _let_87) (CONG _let_86 (SYMM (SYMM _let_85)) (SYMM (SYMM (ASSUME :args _let_84))) :args (APPLY_UF tptp.get1))) :args (APPLY_UF tptp.tb2t2))) :args (_let_13 _let_83 _let_20 _let_15 _let_9))) :args (_let_9 _let_15 _let_13 _let_18 _let_20 _let_73))) :args (true _let_82)) (CONG (REFL :args (_let_24)) (REFL :args (_let_81)) (REFL :args (_let_80)) (REFL :args (_let_57)) (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_21))) (REFL :args (_let_19)) :args _let_43)) :args ((or _let_24 _let_81 _let_80 _let_19 _let_57 _let_21 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_19 _let_58 _let_73 (not _let_74)))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_59 0)) :args ((or _let_78 _let_59))) _let_69 :args (_let_78 true _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_77) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.get1 tptp.color1 _let_12 K)))) :args _let_77))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_32 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 6)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_43)) :args ((or _let_31 _let_39))) _let_46 :args (_let_31 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.white QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66))) _let_65 :args (_let_76 false _let_64)) :args (_let_75 false _let_31 false _let_76)) :args (_let_74 false _let_75)) :args (_let_73 true _let_19 true _let_58 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.color1 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb I))))) :args _let_71)) _let_72 :args (_let_20 false _let_5)) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 1)) (CONG (REFL :args (_let_59)) (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_18))) :args _let_43)) :args ((or _let_18 _let_59))) _let_69 :args (_let_18 true _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_15 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.t2tb3 X)))) :args _let_55)) _let_56 :args (_let_50 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.color1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.mk_array A U U1)))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_15 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.tb2t1 J)))) :args (_let_48))) _let_49 :args (_let_13 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 12)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_9))) :args _let_43)) :args ((or _let_9 _let_39))) _let_46 :args (_let_9 true _let_39)) :args (false true _let_21 false _let_20 true _let_19 false _let_18 false _let_15 false _let_13 false _let_9)) :args ((forall ((A tptp.ty)) (tptp.sort A (tptp.witness A))) (forall ((A tptp.ty) (X tptp.bool) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort A (tptp.match_bool A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort A Z) (= (tptp.match_bool A tptp.true Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort A Z1) (= (tptp.match_bool A tptp.false Z Z1) Z1))) (not (= tptp.true tptp.false)) (forall ((U tptp.bool)) (or (= U tptp.true) (= U tptp.false))) (forall ((U tptp.tuple0)) (= U tptp.tuple02)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort (tptp.ref A) (tptp.mk_ref A X))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort A (tptp.contents A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort A U) (= (tptp.contents A (tptp.mk_ref A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort (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.sort B (tptp.get B A X X1))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort (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.sort 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.sort A A1) (=> (tptp.sort 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.sort (tptp.map A B) (tptp.const B A X))) (forall ((A tptp.ty) (B tptp.ty) (B1 tptp.uni) (A1 tptp.uni)) (=> (tptp.sort B B1) (= (tptp.get B A (tptp.const B A B1) A1) B1))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort (tptp.array A) (tptp.mk_array A X X1))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length A (tptp.mk_array A U U1)) U)) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort (tptp.map tptp.int A) (tptp.elts A X))) _let_6 (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array A (tptp.length A U) (tptp.elts A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort A (tptp.get1 A X X1))) (forall ((X Int)) (tptp.sort tptp.int (tptp.t2tb X))) (forall ((I Int)) (= (tptp.tb2t (tptp.t2tb I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)) _let_5 (forall ((A tptp.ty) (X tptp.uni) (X1 Int) (X2 tptp.uni)) (tptp.sort (tptp.array A) (tptp.set1 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.uni) (I Int) (V tptp.uni)) (= (tptp.set1 A A1 I V) (tptp.mk_array A (tptp.length 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.sort (tptp.array A) (tptp.make A X X1))) (forall ((A tptp.ty) (N Int) (V tptp.uni)) (= (tptp.make A N V) (tptp.mk_array A N (tptp.const A tptp.int V)))) (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.exchange 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.exchange 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.length A A1))) (= (tptp.exchange1 A A1 A2 I J) (and (= _let_1 (tptp.length A A2)) (tptp.exchange A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1 I J))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (<= U L) (= (tptp.occ 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.sort A V) (=> (< L U) (=> (not (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V)) (= (tptp.occ A V M L U) (tptp.occ 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.occ A V M L U) (+ 1 (tptp.occ A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.occ 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.occ A V M L U) (+ (tptp.occ A V M L Mid) (tptp.occ A V M Mid U))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort A V) (=> (forall ((I Int)) (=> (and (<= L I) (< I U)) (not (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))) (= (tptp.occ A V M L U) 0)))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort A V) (=> (< 0 (tptp.occ 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.occ 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.occ A V M1 L U) (tptp.occ A V M2 L U)))) (forall ((A tptp.ty) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.permut A M1 M2 L U))) (and (=> _let_1 (forall ((V tptp.uni)) (= (tptp.occ A V M1 L U) (tptp.occ A V M2 L U)))) (=> (forall ((V tptp.uni)) (=> (tptp.sort A V) (= (tptp.occ A V M1 L U) (tptp.occ 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.permut A A1 A2 L U) (=> (tptp.permut A A2 A3 L U) (tptp.permut A A1 A3 L U)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int)) (=> (tptp.permut 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)))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (= (tptp.map_eq_sub 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))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length A A1))) (= (tptp.array_eq_sub A A1 A2 L U) (and (= _let_1 (tptp.length A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.map_eq_sub 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.length A A1))) (= (tptp.array_eq A A1 A2) (and (= _let_1 (tptp.length A A2)) (tptp.map_eq_sub 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)) (let ((_let_1 (tptp.length A A1))) (= (tptp.permut1 A A1 A2 L U) (and (= _let_1 (tptp.length A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.permut A (tptp.elts A A1) (tptp.elts A A2) L U))))) (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_sub A A1 A2 L U) (and (tptp.map_eq_sub A _let_2 _let_1 0 L) (tptp.permut1 A A1 A2 L U) (tptp.map_eq_sub A _let_2 _let_1 U (tptp.length A A1))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length A A1))) (= (tptp.permut_all A A1 A2) (and (= _let_1 (tptp.length A A2)) (tptp.permut 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.exchange1 A A1 A2 I J) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (=> (<= 0 L) (=> (<= U (tptp.length A A1)) (tptp.permut_sub 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_sub A A1 A2 L1 U1) (=> (and (<= 0 L2) (<= L2 L1)) (=> (and (<= U1 U2) (<= U2 (tptp.length A A1))) (tptp.permut_sub A A1 A2 L2 U2))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (=> (tptp.exchange1 A A1 A2 I J) (tptp.permut_all A A1 A2))) (forall ((A tptp.ty) (X tptp.color) (X1 tptp.uni) (X2 tptp.uni) (X3 tptp.uni)) (tptp.sort A (tptp.match_color A X X1 X2 X3))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni)) (=> (tptp.sort A Z) (= (tptp.match_color A tptp.blue Z Z1 Z2) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni)) (=> (tptp.sort A Z1) (= (tptp.match_color A tptp.white Z Z1 Z2) Z1))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni)) (=> (tptp.sort A Z2) (= (tptp.match_color A tptp.red Z Z1 Z2) Z2))) (not (= tptp.blue tptp.white)) (not (= tptp.blue tptp.red)) (not (= tptp.white tptp.red)) (forall ((U tptp.color)) (or (= U tptp.blue) (= U tptp.white) (= U tptp.red))) (forall ((X tptp.array_color)) (tptp.sort (tptp.array tptp.color1) (tptp.t2tb1 X))) (forall ((I tptp.array_color)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) _let_4 (forall ((X tptp.color)) (tptp.sort tptp.color1 (tptp.t2tb2 X))) (forall ((I tptp.color)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort tptp.color1 J) (= (tptp.t2tb2 (tptp.tb2t2 J)) J))) _let_3 _let_2 (forall ((I tptp.map_int_color)) (= (tptp.tb2t3 (tptp.t2tb3 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort (tptp.map tptp.int tptp.color1) J) (= (tptp.t2tb3 (tptp.tb2t3 J)) J))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.48/15.77 )
% 15.48/15.77 % SZS output end Proof for SWW597_2
% 15.48/15.77 % cvc5---1.0.5 exiting
% 15.48/15.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------