TSTP Solution File: SWW610_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW610_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 00:21:41 EDT 2023
% Result : Theorem 30.97s 31.16s
% Output : Proof 30.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW610_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 19:02:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 30.97/31.16 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VxWHq0bKpW/cvc5---1.0.5_29545.p...
% 30.97/31.16 ------- get file name : TPTP file name is SWW610_2
% 30.97/31.16 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29545.smt2...
% 30.97/31.16 --- Run --finite-model-find --decision=internal at 15...
% 30.97/31.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 30.97/31.16 --- Run --no-e-matching --full-saturate-quant at 15...
% 30.97/31.16 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 30.97/31.16 % SZS status Theorem for SWW610_2
% 30.97/31.16 % SZS output start Proof for SWW610_2
% 30.97/31.16 (
% 30.97/31.16 (let ((_let_1 (not (forall ((A1 tptp.array_char) (A2 tptp.array_char) (I1 Int) (I2 Int) (N Int) (Nqt Int)) (=> (tptp.matches1 A1 I1 A2 I2 N) (=> (< Nqt N) (tptp.matches1 A1 I1 A2 I2 Nqt))))))) (let ((_let_2 (forall ((A1 tptp.array_char) (I1 Int) (A2 tptp.array_char) (I2 Int) (N Int)) (= (tptp.matches1 A1 I1 A2 I2 N) (and (<= 0 I1) (<= I1 (- (tptp.length1 tptp.char (tptp.t2tb1 A1)) N)) (<= 0 I2) (<= I2 (- (tptp.length1 tptp.char (tptp.t2tb1 A2)) N)) (forall ((I Int)) (=> (and (<= 0 I) (< I N)) (= (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A1) (+ I1 I))) (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A2) (+ I2 I))))))))))) (let ((_let_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106))) (let ((_let_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_3))) (let ((_let_5 (>= _let_4 1))) (let ((_let_6 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51))) (let ((_let_7 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_6))) (let ((_let_8 (>= _let_7 0))) (let ((_let_9 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_3))) (let ((_let_10 (>= _let_9 1))) (let ((_let_11 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47))) (let ((_let_12 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_13 (= (tptp.tb2t2 (tptp.get2 tptp.char _let_12 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106))) (tptp.tb2t2 (tptp.get2 tptp.char _let_11 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106)))))) (let ((_let_14 (not _let_5))) (let ((_let_15 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 0))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_13))) (let ((_let_18 (forall ((I Int)) (or (not (>= I 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51)) 0) (= (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46) (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 0))) (let ((_let_21 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 0))) (let ((_let_22 (* (- 1) (tptp.length1 tptp.char _let_11)))) (let ((_let_23 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_22) 1))) (let ((_let_24 (not _let_23))) (let ((_let_25 (* (- 1) (tptp.length1 tptp.char _let_12)))) (let ((_let_26 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_25) 1))) (let ((_let_27 (not _let_26))) (let ((_let_28 (and _let_21 _let_27 _let_20 _let_24 _let_18))) (let ((_let_29 (not _let_18))) (let ((_let_30 (forall ((I Int)) (or (not (>= I 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50)) 0) (= (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46) (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)))))))) (let ((_let_31 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_22))) (let ((_let_32 (>= _let_31 1))) (let ((_let_33 (not _let_32))) (let ((_let_34 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_25))) (let ((_let_35 (>= _let_34 1))) (let ((_let_36 (not _let_35))) (let ((_let_37 (and _let_21 _let_36 _let_20 _let_33 _let_30))) (let ((_let_38 (tptp.matches1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (forall ((A1 tptp.array_char) (I1 Int) (A2 tptp.array_char) (I2 Int) (N Int)) (= (tptp.matches1 A1 I1 A2 I2 N) (and (>= I1 0) (not (>= (+ I1 N (* (- 1) (tptp.length1 tptp.char (tptp.t2tb1 A1)))) 1)) (>= I2 0) (not (>= (+ I2 N (* (- 1) (tptp.length1 tptp.char (tptp.t2tb1 A2)))) 1)) (forall ((I Int)) (or (not (>= I 0)) (not (>= (+ N (* (- 1) I)) 1)) (= (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A1) (+ I1 I))) (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A2) (+ I2 I))))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 ((tptp.matches1 A1 I1 A2 I2 N)))) (let ((_let_44 (tptp.matches1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51))) (let ((_let_45 (>= _let_7 1))) (let ((_let_46 (not _let_45))) (let ((_let_47 (not _let_38))) (let ((_let_48 (or _let_47 _let_46 _let_44))) (let ((_let_49 (forall ((A1 tptp.array_char) (A2 tptp.array_char) (I1 Int) (I2 Int) (N Int) (Nqt Int)) (or (not (tptp.matches1 A1 I1 A2 I2 N)) (not (>= (+ N (* (- 1) Nqt)) 1)) (tptp.matches1 A1 I1 A2 I2 Nqt))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or))) (let ((_let_53 (not _let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_51) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) _let_51 :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or _let_47 _let_37 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_38))) :args _let_52)) :args ((or _let_38 _let_48))) _let_54 :args (_let_38 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42))) _let_41 :args (_let_39 false _let_40)) :args (_let_37 false _let_38 false _let_39)))) (let ((_let_57 (not _let_37))) (let ((_let_58 (= _let_44 _let_28))) (let ((_let_59 (not _let_28))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_52)) :args ((or _let_45 _let_48))) _let_54 :args (_let_45 true _let_48)))) (let ((_let_61 (false))) (let ((_let_62 ((- 1.0) 1.0 (- 1.0)))) (let ((_let_63 (ASSUME :args (_let_45)))) (let ((_let_64 (_let_23))) (let ((_let_65 (_let_26))) (let ((_let_66 (not _let_20))) (let ((_let_67 (not _let_21))) (let ((_let_68 (_let_29))) (let ((_let_69 (_let_28))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68) (REWRITE :args ((=> _let_29 (not (or _let_16 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 _let_6) 0) (= (tptp.tb2t2 (tptp.get2 tptp.char _let_12 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (tptp.tb2t2 (tptp.get2 tptp.char _let_11 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_18))) (REFL :args (_let_19)) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_69) (CONG (REFL :args _let_69) (REFL :args (_let_67)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) (REFL :args (_let_66)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args _let_68) :args _let_52)) :args ((or _let_26 _let_23 _let_28 _let_67 _let_66 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_65) :args _let_65) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_36)) :args ((< _let_34 1)))) _let_63 :args _let_62) :args _let_61) :args (_let_36 _let_45 _let_26))) :args ((or _let_35 _let_46 _let_27))) :args ((or _let_46 _let_35 _let_27))) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_57))) _let_56 :args (_let_36 false _let_37)) :args (_let_27 false _let_45 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_64) :args _let_64) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_33)) :args ((< _let_31 1)))) _let_63 :args _let_62) :args _let_61) :args (_let_33 _let_45 _let_23))) :args ((or _let_32 _let_46 _let_24))) :args ((or _let_46 _let_32 _let_24))) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 3)) :args ((or _let_33 _let_57))) _let_56 :args (_let_33 false _let_37)) :args (_let_24 false _let_45 true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_44 _let_59 (not _let_58)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 2)) _let_54 :args ((not _let_44) true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42))) _let_41 :args (_let_58 false _let_40)) :args (_let_59 true _let_44 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_21 _let_57))) _let_56 :args (_let_21 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 2)) :args ((or _let_20 _let_57))) _let_56 :args (_let_20 false _let_37)) :args (_let_29 true _let_26 true _let_23 true _let_28 false _let_21 false _let_20)) :args (_let_19 true _let_18)))) (let ((_let_71 (REFL :args (_let_17)))) (let ((_let_72 (not _let_8))) (let ((_let_73 (> _let_7 (- 1)))) (let ((_let_74 (_let_72))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((<= _let_7 (- 1))))) (let ((_let_77 (not _let_10))) (let ((_let_78 (or _let_16 _let_77 _let_13))) (let ((_let_79 (_let_30))) (let ((_let_80 (_let_14))) (let ((_let_81 (_let_5))) (let ((_let_82 (ASSUME :args (_let_77)))) (let ((_let_83 (ASSUME :args (_let_8)))) (let ((_let_84 (ASSUME :args _let_81))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_82 _let_83 _let_84) :args (_let_5 _let_8 _let_77)) (SCOPE (CONTRA _let_84 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_84 _let_83 (MACRO_SR_PRED_TRANSFORM _let_82 :args ((< _let_9 1))) :args ((- 1.0) (- 1.0) 1.0)) :args _let_61) :args _let_81) :args ((< _let_4 1))) :args _let_80)) :args (_let_77 _let_8 _let_5)) :args ((not (and _let_5 _let_8 _let_77)) SB_LITERAL))) (CONG (REFL :args _let_80) (REFL :args _let_74) (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_10))) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_16 _let_13 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_52)) :args ((or _let_15 _let_17))) _let_70 :args (_let_15 true _let_17)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 2)) _let_70 :args ((not _let_13) true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_79) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 QUANTIFIERS_INST_E_MATCHING_VAR_GEN ((tptp.get2 tptp.char _let_12 (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))))) :args _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 4)) :args ((or _let_30 _let_57))) _let_56 :args (_let_30 false _let_37)) :args (_let_78 false _let_30)) :args (_let_77 false _let_15 true _let_13 false _let_78)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_75 _let_63) :args (_let_45 _let_72)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_76) _let_63 :args (1.0 (- 1.0))) :args _let_61) :args _let_76) :args (_let_73)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_75 :args ((< _let_7 0)))) :args ((not _let_73)))) :args (_let_72 _let_45)) :args ((not (and _let_45 _let_72)) SB_LITERAL))) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_8))) :args _let_52)) _let_60 :args (_let_8 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_5))) :args _let_52)) :args ((or _let_5 _let_17))) _let_70 :args (_let_5 true _let_17)) :args (false true _let_10 false _let_8 false _let_5)) :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) (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.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))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length1 A (tptp.mk_array1 A U U1)) U)) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map tptp.int A) (tptp.elts A X))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int A) U1) (= (tptp.elts A (tptp.mk_array1 A U U1)) U1))) (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array1 A (tptp.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.array_char)) (tptp.sort1 (tptp.array tptp.char) (tptp.t2tb1 X))) (forall ((I tptp.array_char)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)) (forall ((X tptp.char1)) (tptp.sort1 tptp.char (tptp.t2tb2 X))) (forall ((I tptp.char1)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 tptp.char J) (= (tptp.t2tb2 (tptp.tb2t2 J)) J))) _let_2 (forall ((A1 tptp.array_char) (A2 tptp.array_char) (I1 Int) (I2 Int)) (=> (and (<= 0 I1) (<= I1 (tptp.length1 tptp.char (tptp.t2tb1 A1)))) (=> (and (<= 0 I2) (<= I2 (tptp.length1 tptp.char (tptp.t2tb1 A2)))) (tptp.matches1 A1 I1 A2 I2 0)))) (forall ((A1 tptp.array_char) (A2 tptp.array_char) (I1 Int) (I2 Int) (N Int)) (let ((_let_1 (tptp.t2tb1 A2))) (let ((_let_2 (tptp.t2tb1 A1))) (=> (tptp.matches1 A1 I1 A2 I2 N) (=> (<= I1 (- (- (tptp.length1 tptp.char _let_2) N) 1)) (=> (<= I2 (- (- (tptp.length1 tptp.char _let_1) N) 1)) (=> (= (tptp.tb2t2 (tptp.get2 tptp.char _let_2 (+ I1 N))) (tptp.tb2t2 (tptp.get2 tptp.char _let_1 (+ I2 N)))) (tptp.matches1 A1 I1 A2 I2 (+ N 1))))))))) (forall ((A1 tptp.array_char) (A2 tptp.array_char) (I1 Int) (I2 Int) (N Int)) (=> (< 0 N) (=> (not (= (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A1) I1)) (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A2) I2)))) (not (tptp.matches1 A1 I1 A2 I2 N))))) (forall ((A1 tptp.array_char) (A2 tptp.array_char) (I1 Int) (I2 Int) (I Int) (N Int)) (=> (< 0 N) (=> (and (<= 0 I) (< I N)) (=> (not (= (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A1) (+ I1 I))) (tptp.tb2t2 (tptp.get2 tptp.char (tptp.t2tb1 A2) (+ I2 I))))) (not (tptp.matches1 A1 I1 A2 I2 N)))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.97/31.16 )
% 30.97/31.16 % SZS output end Proof for SWW610_2
% 30.97/31.16 % cvc5---1.0.5 exiting
% 30.97/31.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------