TSTP Solution File: SWW586_2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW586_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:21:36 EDT 2023
% Result : Theorem 35.16s 35.35s
% Output : Proof 35.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW586_2 : TPTP v8.1.2. Released v6.1.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 17:48:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_ARI
% 35.16/35.35 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0IzGKaZvh3/cvc5---1.0.5_1538.p...
% 35.16/35.35 ------- get file name : TPTP file name is SWW586_2
% 35.16/35.35 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1538.smt2...
% 35.16/35.35 --- Run --finite-model-find --decision=internal at 15...
% 35.16/35.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 35.16/35.35 --- Run --no-e-matching --full-saturate-quant at 15...
% 35.16/35.35 % SZS status Theorem for SWW586_2
% 35.16/35.35 % SZS output start Proof for SWW586_2
% 35.16/35.35 (
% 35.16/35.35 (let ((_let_1 (forall ((W tptp.list_char)) (let ((_let_1 (tptp.char3 tptp.one1))) (let ((_let_2 (tptp.alt1 tptp.epsilon1 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1)))) (= (tptp.mem2 W _let_2) (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb W))) _let_2))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((W tptp.list_char)) (let ((_let_1 (tptp.char3 tptp.one1))) (let ((_let_2 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1))) (= (tptp.mem2 W (tptp.alt1 tptp.epsilon1 _let_2)) (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb W))) _let_2))))))) (let ((_let_4 (tptp.char3 tptp.one1))) (let ((_let_5 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_4)) _let_4))) (let ((_let_6 (tptp.nil tptp.char))) (let ((_let_7 (tptp.tb2t _let_6))) (let ((_let_8 (forall ((Z tptp.list_char) (Z1 tptp.regexp1)) (=> (tptp.mem2 Z Z1) (or (and (= Z (tptp.tb2t (tptp.nil tptp.char))) (= Z1 tptp.epsilon1)) (exists ((C tptp.char2)) (and (= Z (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 C) (tptp.nil tptp.char)))) (= Z1 (tptp.char3 C)))) (exists ((W tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (and (tptp.mem2 W R1) (= Z W) (= Z1 (tptp.alt1 R1 R2)))) (exists ((W tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (and (tptp.mem2 W R2) (= Z W) (= Z1 (tptp.alt1 R1 R2)))) (exists ((W1 tptp.list_char) (W2 tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (and (tptp.mem2 W1 R1) (tptp.mem2 W2 R2) (= Z (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2)))) (= Z1 (tptp.concat1 R1 R2)))) (exists ((R tptp.regexp1)) (and (= Z (tptp.tb2t (tptp.nil tptp.char))) (= Z1 (tptp.star1 R)))) (exists ((W1 tptp.list_char) (W2 tptp.list_char) (R tptp.regexp1)) (let ((_let_1 (tptp.star1 R))) (and (tptp.mem2 W1 R) (tptp.mem2 W2 _let_1) (= Z (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2)))) (= Z1 _let_1))))))))) (let ((_let_9 (forall ((W tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (=> (tptp.mem2 W R2) (tptp.mem2 W (tptp.alt1 R1 R2)))))) (let ((_let_10 (forall ((X tptp.char2)) (tptp.sort1 tptp.char (tptp.t2tb1 X))))) (let ((_let_11 (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)))) (let ((_let_12 (forall ((A tptp.ty) (X tptp.uni)) (=> (tptp.sort1 A X) (and (not (tptp.mem A X (tptp.nil A))) (forall ((X1 tptp.uni) (X2 tptp.uni)) (=> (tptp.sort1 A X1) (= (tptp.mem A X (tptp.cons A X1 X2)) (or (= X X1) (tptp.mem A X X2)))))))))) (let ((_let_13 (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A1 Z) (= (tptp.match_list A1 A (tptp.nil A) Z Z1) Z))))) (let ((_let_14 (forall ((A tptp.ty) (A1 tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A1 (tptp.match_list A1 A X X1 X2))))) (let ((_let_15 (forall ((U tptp.regexp1) (U1 tptp.regexp1)) (= (tptp.alt_proj_21 (tptp.alt1 U U1)) U1)))) (let ((_let_16 (forall ((U tptp.regexp1) (U1 tptp.regexp1)) (= (tptp.alt_proj_11 (tptp.alt1 U U1)) U)))) (let ((_let_17 (forall ((U tptp.regexp1) (U1 tptp.regexp1) (V tptp.regexp1)) (not (= (tptp.alt1 U U1) (tptp.star1 V)))))) (let ((_let_18 (forall ((U tptp.regexp1) (U1 tptp.regexp1) (V tptp.regexp1) (V1 tptp.regexp1)) (not (= (tptp.alt1 U U1) (tptp.concat1 V V1)))))) (let ((_let_19 (forall ((U tptp.char2) (V tptp.regexp1) (V1 tptp.regexp1)) (not (= (tptp.char3 U) (tptp.alt1 V V1)))))) (let ((_let_20 (forall ((V tptp.regexp1)) (not (= tptp.epsilon1 (tptp.star1 V)))))) (let ((_let_21 (forall ((V tptp.regexp1) (V1 tptp.regexp1)) (not (= tptp.epsilon1 (tptp.concat1 V V1)))))) (let ((_let_22 (forall ((V tptp.regexp1) (V1 tptp.regexp1)) (not (= tptp.epsilon1 (tptp.alt1 V V1)))))) (let ((_let_23 (forall ((V tptp.char2)) (not (= tptp.epsilon1 (tptp.char3 V)))))) (let ((_let_24 (= _let_6 (tptp.t2tb _let_7)))) (let ((_let_25 (tptp.t2tb1 tptp.one1))) (let ((_let_26 (tptp.match_list tptp.char tptp.char _let_6 _let_25 _let_25))) (let ((_let_27 (= _let_25 _let_26))) (let ((_let_28 (tptp.mem tptp.char _let_25 _let_6))) (let ((_let_29 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (tptp.cons tptp.char _let_25 _let_29))) (let ((_let_31 (tptp.tb2t _let_30))) (let ((_let_32 (= _let_30 (tptp.t2tb _let_31)))) (let ((_let_33 (tptp.mem tptp.char _let_26 (tptp.cons tptp.char _let_26 _let_29)))) (let ((_let_34 (= _let_7 _let_31))) (let ((_let_35 (forall ((J tptp.uni)) (= J (tptp.t2tb (tptp.tb2t J)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (tptp.sort1 tptp.char _let_25))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_27))) (let ((_let_41 (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (or (not (tptp.sort1 A1 Z)) (= Z (tptp.match_list A1 A (tptp.nil A) Z Z1)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_10))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.one1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43)) _let_44 :args (_let_38 false _let_10)))) (let ((_let_46 (not _let_28))) (let ((_let_47 (and _let_46 (or _let_39 (tptp.mem tptp.char _let_25 (tptp.cons tptp.char _let_25 _let_6)))))) (let ((_let_48 (or _let_39 _let_47))) (let ((_let_49 (forall ((A tptp.ty) (X tptp.uni) (BOUND_VARIABLE_1804 tptp.uni) (BOUND_VARIABLE_1802 tptp.uni)) (or (not (tptp.sort1 A X)) (and (not (tptp.mem A X (tptp.nil A))) (or (not (tptp.sort1 A BOUND_VARIABLE_1802)) (= (tptp.mem A X (tptp.cons A BOUND_VARIABLE_1802 BOUND_VARIABLE_1804)) (or (= X BOUND_VARIABLE_1802) (tptp.mem A X BOUND_VARIABLE_1804))))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (tptp.sort1 tptp.char _let_26))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_33))) (let ((_let_55 (and (not (tptp.mem tptp.char _let_26 _let_6)) _let_54))) (let ((_let_56 (or _let_53 _let_55))) (let ((_let_57 (_let_14))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.char tptp.char _let_6 _let_25 _let_25 QUANTIFIERS_INST_ENUM)) :args _let_57)) _let_58 :args (_let_52 false _let_14)))) (let ((_let_60 (and _let_34 (not (forall ((R tptp.regexp1)) (let ((_let_1 (tptp.char3 tptp.one1))) (not (= (tptp.star1 R) (tptp.alt1 tptp.epsilon1 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1)))))))))) (let ((_let_61 (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R tptp.regexp1)) (let ((_let_1 (tptp.star1 R))) (or (not (tptp.mem2 W1 R)) (not (tptp.mem2 W2 _let_1)) (not (= (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))) (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (not (= tptp.epsilon1 _let_1))))))) (let ((_let_62 (not _let_61))) (let ((_let_63 (forall ((R tptp.regexp1)) (not (= tptp.epsilon1 (tptp.star1 R)))))) (let ((_let_64 (not _let_63))) (let ((_let_65 (and _let_34 _let_64))) (let ((_let_66 (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (or (not (tptp.mem2 W1 R1)) (not (tptp.mem2 W2 R2)) (not (= (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))) (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (not (= tptp.epsilon1 (tptp.concat1 R1 R2))))))) (let ((_let_67 (not _let_66))) (let ((_let_68 (forall ((R1 tptp.regexp1) (R2 tptp.regexp1)) (or (not (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) R2)) (not (= tptp.epsilon1 (tptp.alt1 R1 R2))))))) (let ((_let_69 (not _let_68))) (let ((_let_70 (forall ((R1 tptp.regexp1) (R2 tptp.regexp1)) (or (not (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) R1)) (not (= tptp.epsilon1 (tptp.alt1 R1 R2))))))) (let ((_let_71 (not _let_70))) (let ((_let_72 (forall ((C tptp.char2)) (or (not (= (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 C) (tptp.nil tptp.char))) (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (not (= tptp.epsilon1 (tptp.char3 C))))))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.mem2 _let_31 tptp.epsilon1))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_34 _let_73 _let_71 _let_69 _let_67 _let_65 _let_62))) (let ((_let_77 (tptp.alt1 tptp.epsilon1 _let_5))) (let ((_let_78 (tptp.mem2 _let_31 _let_77))) (let ((_let_79 (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R tptp.regexp1)) (let ((_let_1 (tptp.char3 tptp.one1))) (let ((_let_2 (tptp.star1 R))) (or (not (tptp.mem2 W1 R)) (not (tptp.mem2 W2 _let_2)) (not (= (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))) (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (not (= _let_2 (tptp.alt1 tptp.epsilon1 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1)))))))))) (let ((_let_80 (not _let_79))) (let ((_let_81 (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (let ((_let_1 (tptp.char3 tptp.one1))) (or (not (tptp.mem2 W1 R1)) (not (tptp.mem2 W2 R2)) (not (= (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))) (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (not (= (tptp.concat1 R1 R2) (tptp.alt1 tptp.epsilon1 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1))))))))) (let ((_let_82 (not _let_81))) (let ((_let_83 (forall ((R1 tptp.regexp1) (R2 tptp.regexp1)) (let ((_let_1 (tptp.char3 tptp.one1))) (or (not (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) R2)) (not (= (tptp.alt1 R1 R2) (tptp.alt1 tptp.epsilon1 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1))))))))) (let ((_let_84 (not _let_83))) (let ((_let_85 (forall ((R1 tptp.regexp1) (R2 tptp.regexp1)) (let ((_let_1 (tptp.char3 tptp.one1))) (or (not (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) R1)) (not (= (tptp.alt1 R1 R2) (tptp.alt1 tptp.epsilon1 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1))))))))) (let ((_let_86 (not _let_85))) (let ((_let_87 (forall ((C tptp.char2)) (let ((_let_1 (tptp.char3 tptp.one1))) (or (not (= (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 C) (tptp.nil tptp.char))) (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (not (= (tptp.char3 C) (tptp.alt1 tptp.epsilon1 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1))))))))) (let ((_let_88 (not _let_87))) (let ((_let_89 (= tptp.epsilon1 _let_77))) (let ((_let_90 (and _let_34 _let_89))) (let ((_let_91 (not _let_78))) (let ((_let_92 (or _let_91 _let_90 _let_88 _let_86 _let_84 _let_82 _let_60 _let_80))) (let ((_let_93 (tptp.alt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_205 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206))) (let ((_let_94 (= _let_77 _let_93))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.mem2 _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_205))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95))) (let ((_let_99 (forall ((Z tptp.list_char) (Z1 tptp.regexp1)) (let ((_let_1 (= (tptp.tb2t (tptp.nil tptp.char)) Z))) (or (not (tptp.mem2 Z Z1)) (and _let_1 (= tptp.epsilon1 Z1)) (not (forall ((C tptp.char2)) (or (not (= Z (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 C) (tptp.nil tptp.char))))) (not (= Z1 (tptp.char3 C)))))) (not (forall ((R1 tptp.regexp1) (R2 tptp.regexp1)) (or (not (tptp.mem2 Z R1)) (not (= Z1 (tptp.alt1 R1 R2)))))) (not (forall ((R1 tptp.regexp1) (R2 tptp.regexp1)) (or (not (tptp.mem2 Z R2)) (not (= Z1 (tptp.alt1 R1 R2)))))) (not (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (or (not (tptp.mem2 W1 R1)) (not (tptp.mem2 W2 R2)) (not (= Z (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))))) (not (= Z1 (tptp.concat1 R1 R2)))))) (and _let_1 (not (forall ((R tptp.regexp1)) (not (= Z1 (tptp.star1 R)))))) (not (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R tptp.regexp1)) (let ((_let_1 (tptp.star1 R))) (or (not (tptp.mem2 W1 R)) (not (tptp.mem2 W2 _let_1)) (not (= Z (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))))) (not (= Z1 _let_1))))))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 (tptp.star1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227))) (let ((_let_103 (= tptp.epsilon1 _let_102))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_225) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_226))))) (let ((_let_106 (not (tptp.mem2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_226 _let_102)))) (let ((_let_107 (not (tptp.mem2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_225 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227)))) (let ((_let_108 (or _let_107 _let_106 (not (= _let_31 _let_105)) _let_104))) (let ((_let_109 (_let_20))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (or))) (let ((_let_112 (_let_62))) (let ((_let_113 (not _let_65))) (let ((_let_114 (= tptp.epsilon1 (tptp.concat1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_223 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_224)))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_221) (tptp.t2tb 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.char _let_26 _let_29 _let_26 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51))) _let_50 :args (_let_56 false _let_49)) :args (_let_55 false _let_52 false _let_56)) :args (_let_54 false _let_55)) :args (_let_33 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_30 QUANTIFIERS_INST_ENUM)) :args _let_37)) _let_36 :args (_let_32 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_47 0)) :args ((or _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_39 _let_47 (not _let_48)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.char _let_25 _let_6 _let_25 QUANTIFIERS_INST_ENUM)) :args _let_51))) _let_50 :args (_let_48 false _let_49)) :args (_let_47 false _let_38 false _let_48)) :args (_let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_27 (not _let_40)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.char tptp.char _let_25 _let_25 QUANTIFIERS_INST_ENUM)) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_27 false _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_6 QUANTIFIERS_INST_ENUM)) :args _let_37)) _let_36 :args (_let_24 false _let_35)) :args (false false _let_34 false _let_33 false _let_32 true _let_28 false _let_27 false _let_24)) :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 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tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni) (Z3 tptp.uni) (Z4 tptp.uni) (Z5 tptp.uni)) (=> (tptp.sort1 A Z1) (= (tptp.match_regexp1 A tptp.epsilon1 Z Z1 Z2 Z3 Z4 Z5) Z1))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni) (Z3 tptp.uni) (Z4 tptp.uni) (Z5 tptp.uni) (U tptp.char2)) (=> (tptp.sort1 A Z2) (= (tptp.match_regexp1 A (tptp.char3 U) Z Z1 Z2 Z3 Z4 Z5) Z2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni) (Z3 tptp.uni) (Z4 tptp.uni) (Z5 tptp.uni) (U tptp.regexp1) (U1 tptp.regexp1)) (=> (tptp.sort1 A Z3) (= (tptp.match_regexp1 A (tptp.alt1 U U1) Z Z1 Z2 Z3 Z4 Z5) Z3))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni) (Z3 tptp.uni) (Z4 tptp.uni) (Z5 tptp.uni) (U tptp.regexp1) (U1 tptp.regexp1)) (=> (tptp.sort1 A Z4) (= (tptp.match_regexp1 A (tptp.concat1 U U1) Z Z1 Z2 Z3 Z4 Z5) Z4))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (Z2 tptp.uni) (Z3 tptp.uni) (Z4 tptp.uni) (Z5 tptp.uni) (U tptp.regexp1)) (=> (tptp.sort1 A Z5) (= (tptp.match_regexp1 A (tptp.star1 U) Z Z1 Z2 Z3 Z4 Z5) Z5))) (not (= tptp.empty1 tptp.epsilon1)) (forall ((V tptp.char2)) (not (= tptp.empty1 (tptp.char3 V)))) (forall ((V tptp.regexp1) (V1 tptp.regexp1)) (not (= tptp.empty1 (tptp.alt1 V V1)))) (forall ((V tptp.regexp1) (V1 tptp.regexp1)) (not (= tptp.empty1 (tptp.concat1 V V1)))) (forall ((V tptp.regexp1)) (not (= tptp.empty1 (tptp.star1 V)))) _let_23 _let_22 _let_21 _let_20 _let_19 (forall ((U tptp.char2) (V tptp.regexp1) (V1 tptp.regexp1)) (not (= (tptp.char3 U) (tptp.concat1 V V1)))) (forall ((U tptp.char2) (V tptp.regexp1)) (not (= (tptp.char3 U) (tptp.star1 V)))) _let_18 _let_17 (forall ((U tptp.regexp1) (U1 tptp.regexp1) (V tptp.regexp1)) (not (= (tptp.concat1 U U1) (tptp.star1 V)))) (forall ((U tptp.char2)) (= (tptp.char_proj_11 (tptp.char3 U)) U)) _let_16 _let_15 (forall ((U tptp.regexp1) (U1 tptp.regexp1)) (= (tptp.concat_proj_11 (tptp.concat1 U U1)) U)) (forall ((U tptp.regexp1) (U1 tptp.regexp1)) (= (tptp.concat_proj_21 (tptp.concat1 U U1)) U1)) (forall ((U tptp.regexp1)) (= (tptp.star_proj_11 (tptp.star1 U)) U)) (forall ((U tptp.regexp1)) (or (= U tptp.empty1) (= U tptp.epsilon1) (= U (tptp.char3 (tptp.char_proj_11 U))) (= U (tptp.alt1 (tptp.alt_proj_11 U) (tptp.alt_proj_21 U))) (= U (tptp.concat1 (tptp.concat_proj_11 U) (tptp.concat_proj_21 U))) (= U (tptp.star1 (tptp.star_proj_11 U))))) (forall ((A tptp.ty)) (tptp.sort1 (tptp.list A) (tptp.nil A))) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.list A) (tptp.cons A X X1))) _let_14 _let_13 (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (U tptp.uni) (U1 tptp.uni)) (=> (tptp.sort1 A1 Z1) (= (tptp.match_list A1 A (tptp.cons A U U1) Z Z1) Z1))) (forall ((A tptp.ty) (V tptp.uni) (V1 tptp.uni)) (not (= (tptp.nil A) (tptp.cons A V V1)))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.cons_proj_1 A X))) (forall ((A tptp.ty) (U tptp.uni) (U1 tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.cons_proj_1 A (tptp.cons A U U1)) U))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.list A) (tptp.cons_proj_2 A X))) (forall ((A tptp.ty) (U tptp.uni) (U1 tptp.uni)) (= (tptp.cons_proj_2 A (tptp.cons A U U1)) U1)) (forall ((A tptp.ty) (U tptp.uni)) (or (= U (tptp.nil A)) (= U (tptp.cons A (tptp.cons_proj_1 A U) (tptp.cons_proj_2 A U))))) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.list A) (tptp.infix_plpl A X X1))) (forall ((A tptp.ty) (L2 tptp.uni)) (and (= (tptp.infix_plpl A (tptp.nil A) L2) L2) (forall ((X tptp.uni) (X1 tptp.uni)) (= (tptp.infix_plpl A (tptp.cons A X X1) L2) (tptp.cons A X (tptp.infix_plpl A X1 L2)))))) (forall ((A tptp.ty) (L1 tptp.uni) (L2 tptp.uni) (L3 tptp.uni)) (= (tptp.infix_plpl A L1 (tptp.infix_plpl A L2 L3)) (tptp.infix_plpl A (tptp.infix_plpl A L1 L2) L3))) (forall ((A tptp.ty) (L tptp.uni)) (= (tptp.infix_plpl A L (tptp.nil A)) L)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A tptp.ty)) (and (= (tptp.length1 A (tptp.nil A)) 0) (forall ((X tptp.uni) (X1 tptp.uni)) (= (tptp.length1 A (tptp.cons A X X1)) (+ 1 (tptp.length1 A X1)))))) (forall ((A tptp.ty) (L tptp.uni)) (<= 0 (tptp.length1 A L))) (forall ((A tptp.ty) (L tptp.uni)) (= (= (tptp.length1 A L) 0) (= L (tptp.nil A)))) (forall ((A tptp.ty) (L1 tptp.uni) (L2 tptp.uni)) (= (tptp.length1 A (tptp.infix_plpl A L1 L2)) (+ (tptp.length1 A L1) (tptp.length1 A L2)))) _let_12 (forall ((A tptp.ty) (X tptp.uni) (L1 tptp.uni) (L2 tptp.uni)) (= (tptp.mem A X (tptp.infix_plpl A L1 L2)) (or (tptp.mem A X L1) (tptp.mem A X L2)))) (forall ((A tptp.ty) (X tptp.uni) (L tptp.uni)) (=> (tptp.mem A X L) (exists ((L1 tptp.uni) (L2 tptp.uni)) (let ((_let_1 (tptp.list A))) (and (tptp.sort1 _let_1 L1) (tptp.sort1 _let_1 L2) (= L (tptp.infix_plpl A L1 (tptp.cons A X L2)))))))) (forall ((X tptp.list_char)) (tptp.sort1 (tptp.list tptp.char) (tptp.t2tb X))) (forall ((I tptp.list_char)) (= (tptp.tb2t (tptp.t2tb I)) I)) _let_11 (tptp.mem2 _let_7 tptp.epsilon1) _let_10 (forall ((I tptp.char2)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 tptp.char J) (= (tptp.t2tb1 (tptp.tb2t1 J)) J))) (forall ((C tptp.char2)) (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 C) (tptp.nil tptp.char))) (tptp.char3 C))) (forall ((W tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (=> (tptp.mem2 W R1) (tptp.mem2 W (tptp.alt1 R1 R2)))) _let_9 (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R1 tptp.regexp1) (R2 tptp.regexp1)) (=> (tptp.mem2 W1 R1) (=> (tptp.mem2 W2 R2) (tptp.mem2 (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))) (tptp.concat1 R1 R2))))) (forall ((R tptp.regexp1)) (tptp.mem2 (tptp.tb2t (tptp.nil tptp.char)) (tptp.star1 R))) (forall ((W1 tptp.list_char) (W2 tptp.list_char) (R tptp.regexp1)) (let ((_let_1 (tptp.star1 R))) (=> (tptp.mem2 W1 R) (=> (tptp.mem2 W2 _let_1) (tptp.mem2 (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb W1) (tptp.t2tb W2))) _let_1))))) _let_8 (forall ((A tptp.ty)) (tptp.sort1 (tptp.option A) (tptp.none A))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.option A) (tptp.some A X))) (forall ((A tptp.ty) (A1 tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A1 (tptp.match_option1 A1 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A1 Z) (= (tptp.match_option1 A1 A (tptp.none A) Z Z1) Z))) (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (U tptp.uni)) (=> (tptp.sort1 A1 Z1) (= (tptp.match_option1 A1 A (tptp.some A U) Z Z1) Z1))) (forall ((A tptp.ty) (V tptp.uni)) (not (= (tptp.none A) (tptp.some A V)))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.some_proj_11 A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.some_proj_11 A (tptp.some A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 (tptp.option A) U) (or (= U (tptp.none A)) (= U (tptp.some A (tptp.some_proj_11 A U)))))) (forall ((U tptp.list_char)) (= (tptp.state1 (tptp.mk_stream1 U)) U)) (forall ((U tptp.stream1)) (= U (tptp.mk_stream1 (tptp.state1 U)))) (not (tptp.mem2 _let_7 _let_5)) (forall ((W tptp.list_char)) (tptp.mem2 W (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) (tptp.char3 tptp.one1))))) (forall ((W tptp.list_char)) (let ((_let_1 (tptp.char3 tptp.one1))) (= (tptp.mem2 W (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1)) (exists ((Wqt tptp.list_char)) (= W (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb Wqt) (tptp.cons tptp.char (tptp.t2tb1 tptp.one1) (tptp.nil tptp.char))))))))) (forall ((W tptp.list_char)) (let ((_let_1 (tptp.char3 tptp.one1))) (let ((_let_2 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1))) (= (tptp.mem2 W _let_2) (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.zero1) (tptp.t2tb W))) _let_2))))) _let_3 (forall ((W tptp.list_char)) (let ((_let_1 (tptp.char3 tptp.one1))) (let ((_let_2 (tptp.concat1 (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) _let_1)) _let_1))) (= (tptp.mem2 W _let_2) (tptp.mem2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.zero1) (tptp.t2tb W))) (tptp.alt1 tptp.epsilon1 _let_2)))))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 35.16/35.36 )
% 35.16/35.36 % SZS output end Proof for SWW586_2
% 35.16/35.36 % cvc5---1.0.5 exiting
% 35.16/35.36 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------