TSTP Solution File: ITP018_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP018_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 : Thu Aug 31 03:15:50 EDT 2023
% Result : Theorem 0.21s 0.60s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP018_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.19/0.36 % Computer : n026.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Sun Aug 27 11:18:34 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.npbZuvFGzk/cvc5---1.0.5_31505.p...
% 0.21/0.60 ------- get file name : TPTP file name is ITP018_2
% 0.21/0.60 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31505.smt2...
% 0.21/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.60 % SZS status Theorem for ITP018_2
% 0.21/0.60 % SZS output start Proof for ITP018_2
% 0.21/0.60 (
% 0.21/0.60 (let ((_let_1 (forall ((A_27t tptp.del) (A_27w tptp.del)) (let ((_let_1 (tptp.c_2Ebool_2Ethe__value (tptp.ty_2Epair_2Eprod A_27t A_27w)))) (= (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap (tptp.c_2Ebinary__ieee_2Eulp A_27t A_27w) _let_1))) (tptp.surj__ty_2Erealax_2Ereal (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__to__real A_27t A_27w) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate A_27t A_27w) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__plus__min A_27t A_27w) _let_1))))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A_27t tptp.del) (A_27w tptp.del)) (let ((_let_1 (tptp.c_2Ebool_2Ethe__value (tptp.ty_2Epair_2Eprod A_27t A_27w)))) (= (tptp.surj__ty_2Erealax_2Ereal (tptp.ap (tptp.c_2Ebinary__ieee_2Eulp A_27t A_27w) _let_1)) (tptp.surj__ty_2Erealax_2Ereal (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__to__real A_27t A_27w) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__plus__min A_27t A_27w) _let_1)))))))) (let ((_let_4 (forall ((A_27a tptp.del) (A_27b tptp.del) (V0x $$unsorted)) (let ((_let_1 (tptp.c_2Ebinary__ieee_2Efloat__to__real A_27a A_27b))) (=> (tptp.mem V0x (tptp.ty_2Ebinary__ieee_2Efloat A_27a A_27b)) (= (tptp.surj__ty_2Erealax_2Ereal (tptp.ap _let_1 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate A_27a A_27b) V0x))) (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap _let_1 V0x))))))))) (let ((_let_5 (forall ((A_27t tptp.del) (A_27w tptp.del)) (tptp.mem (tptp.c_2Ebinary__ieee_2Eulp A_27t A_27w) (tptp.arr (tptp.ty_2Ebool_2Eitself (tptp.ty_2Epair_2Eprod A_27t A_27w)) tptp.ty_2Erealax_2Ereal))))) (let ((_let_6 (forall ((A_27a tptp.del)) (tptp.mem (tptp.c_2Ebool_2Ethe__value A_27a) (tptp.ty_2Ebool_2Eitself A_27a))))) (let ((_let_7 (forall ((A_27t tptp.del) (A_27w tptp.del)) (tptp.mem (tptp.c_2Ebinary__ieee_2Efloat__to__real A_27t A_27w) (tptp.arr (tptp.ty_2Ebinary__ieee_2Efloat A_27t A_27w) tptp.ty_2Erealax_2Ereal))))) (let ((_let_8 (forall ((A_27t tptp.del) (A_27w tptp.del)) (tptp.mem (tptp.c_2Ebinary__ieee_2Efloat__plus__min A_27t A_27w) (tptp.arr (tptp.ty_2Ebool_2Eitself (tptp.ty_2Epair_2Eprod A_27t A_27w)) (tptp.ty_2Ebinary__ieee_2Efloat A_27t A_27w)))))) (let ((_let_9 (forall ((X $$unsorted)) (=> (tptp.mem X tptp.ty_2Erealax_2Ereal) (= X (tptp.inj__ty_2Erealax_2Ereal (tptp.surj__ty_2Erealax_2Ereal X))))))) (let ((_let_10 (forall ((A tptp.del) (B tptp.del) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.mem (tptp.ap F X) B))))))) (let ((_let_11 (tptp.ty_2Epair_2Eprod SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.c_2Ebool_2Ethe__value _let_11))) (let ((_let_13 (tptp.c_2Ebinary__ieee_2Efloat__plus__min SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.ap _let_13 _let_12))) (let ((_let_15 (tptp.c_2Ebinary__ieee_2Efloat__to__real SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.surj__ty_2Erealax_2Ereal (tptp.ap _let_15 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_14))))) (let ((_let_17 (tptp.c_2Ebinary__ieee_2Eulp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.ap _let_17 _let_12))) (let ((_let_19 (= (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg _let_18)) _let_16))) (let ((_let_20 (tptp.ap _let_15 _let_14))) (let ((_let_21 (tptp.surj__ty_2Erealax_2Ereal _let_20))) (let ((_let_22 (tptp.surj__ty_2Erealax_2Ereal _let_18))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (= _let_16 (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg _let_20))))) (let ((_let_25 (= _let_18 (tptp.inj__ty_2Erealax_2Ereal _let_22)))) (let ((_let_26 (= _let_20 (tptp.inj__ty_2Erealax_2Ereal _let_21)))) (let ((_let_27 (not _let_19))) (let ((_let_28 (_let_2))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (_let_3))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.ty_2Ebinary__ieee_2Efloat SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (tptp.mem _let_14 _let_32))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_24))) (let ((_let_36 (forall ((A_27a tptp.del) (A_27b tptp.del) (V0x $$unsorted)) (let ((_let_1 (tptp.c_2Ebinary__ieee_2Efloat__to__real A_27a A_27b))) (or (not (tptp.mem V0x (tptp.ty_2Ebinary__ieee_2Efloat A_27a A_27b))) (= (tptp.surj__ty_2Erealax_2Ereal (tptp.ap _let_1 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate A_27a A_27b) V0x))) (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap _let_1 V0x))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (tptp.ty_2Ebool_2Eitself _let_11))) (let ((_let_39 (tptp.mem _let_12 _let_38))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.mem _let_13 (tptp.arr _let_38 _let_32)))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_33))) (let ((_let_44 (forall ((A tptp.del) (B tptp.del) (F $$unsorted) (BOUND_VARIABLE_897 $$unsorted)) (or (not (tptp.mem F (tptp.arr A B))) (not (tptp.mem BOUND_VARIABLE_897 A)) (tptp.mem (tptp.ap F BOUND_VARIABLE_897) B))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (tptp.arr A B))) (let ((_let_48 ((not (= (tptp.mem F _let_47) false)) (not (= (tptp.mem BOUND_VARIABLE_897 A) false))))) (let ((_let_49 (_let_6))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_2Ebool_2Ethe__value A_27a)))) :args _let_49)) _let_50 :args (_let_39 false _let_6)))) (let ((_let_52 (_let_8))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_33 _let_42 _let_40 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_2Ebinary__ieee_2Efloat__plus__min A_27t A_27w)))) :args _let_52)) _let_53 :args (_let_41 false _let_8)) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_38 _let_32 _let_13 _let_12 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_33 false _let_41 false _let_39 false _let_43)))) (let ((_let_55 (tptp.mem _let_18 tptp.ty_2Erealax_2Ereal))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_25))) (let ((_let_58 (forall ((X $$unsorted)) (or (not (tptp.mem X tptp.ty_2Erealax_2Ereal)) (= X (tptp.inj__ty_2Erealax_2Ereal (tptp.surj__ty_2Erealax_2Ereal X))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 ((tptp.surj__ty_2Erealax_2Ereal X)))) (let ((_let_62 (tptp.mem _let_17 (tptp.arr _let_38 tptp.ty_2Erealax_2Ereal)))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_40 _let_55))) (let ((_let_65 (_let_5))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (tptp.mem _let_20 tptp.ty_2Erealax_2Ereal))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_26))) (let ((_let_70 (tptp.mem _let_15 (tptp.arr _let_32 tptp.ty_2Erealax_2Ereal)))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_34 _let_67))) (let ((_let_73 (_let_7))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (and _let_24 _let_23 _let_25 _let_26))) (let ((_let_76 (ASSUME :args (_let_24)))) (let ((_let_77 (ASSUME :args (_let_26)))) (let ((_let_78 (ASSUME :args (_let_23)))) (let ((_let_79 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_77 _let_78 _let_79) (SCOPE (TRANS (CONG (CONG (REFL :args (tptp.c_2Erealax_2Ereal__neg)) (TRANS (SYMM (SYMM _let_79)) (CONG (SYMM (SYMM _let_78)) :args (APPLY_UF tptp.inj__ty_2Erealax_2Ereal)) (SYMM _let_77)) :args (APPLY_UF tptp.ap)) :args (APPLY_UF tptp.surj__ty_2Erealax_2Ereal)) (SYMM _let_76)) :args (_let_24 _let_26 _let_23 _let_25))) :args (_let_24 _let_23 _let_25 _let_26))) :args (true _let_75)) :args ((or _let_19 (not _let_24) (not _let_23) (not _let_25) (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_26 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_34 _let_71 _let_67 (not _let_72)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_2Ebinary__ieee_2Efloat__to__real A_27t A_27w)))) :args _let_73)) _let_74 :args (_let_70 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_32 tptp.ty_2Erealax_2Ereal _let_15 _let_14 QUANTIFIERS_INST_E_MATCHING (_let_47 (not (= (tptp.mem (tptp.ap F BOUND_VARIABLE_897) B) true))))) :args _let_46)) _let_45 :args (_let_72 false _let_44)) :args (_let_67 false _let_33 false _let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_69 false _let_58)) :args (_let_26 false _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_25 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_40 _let_63 _let_55 (not _let_64)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_2Ebinary__ieee_2Eulp A_27t A_27w)))) :args _let_65)) _let_66 :args (_let_62 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_38 tptp.ty_2Erealax_2Ereal _let_17 _let_12 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_45 :args (_let_64 false _let_44)) :args (_let_55 false _let_39 false _let_62 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_57 false _let_58)) :args (_let_25 false _let_55 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_24 (not _let_35)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate A_27a A_27b) V0x)))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_24 false _let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_2Ebinary__ieee_2Eulp A_27t A_27w)))) :args _let_30)) _let_31 :args (_let_23 false _let_3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args _let_28)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_27)) :args (or))) _let_29 :args (_let_27 true _let_1)) :args (false false _let_26 false _let_25 false _let_24 false _let_23 true _let_19)) :args (_let_10 (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (=> (= (tptp.p Q) (tptp.p R)) (= Q R)))))) (forall ((A tptp.del) (B tptp.del) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((G $$unsorted)) (=> (tptp.mem G (tptp.arr A B)) (=> (forall ((X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap F X) (tptp.ap G X)))) (= F G)))))) (forall ((A tptp.del) (Y $$unsorted) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.k A Y) X) Y))) (forall ((A tptp.del) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.i A) X) X))) (forall ((X tptp.tp__ty_2Erealax_2Ereal)) (= (tptp.surj__ty_2Erealax_2Ereal (tptp.inj__ty_2Erealax_2Ereal X)) X)) (forall ((X tptp.tp__ty_2Erealax_2Ereal)) (tptp.mem (tptp.inj__ty_2Erealax_2Ereal X) tptp.ty_2Erealax_2Ereal)) _let_9 (tptp.mem tptp.c_2Erealax_2Ereal__neg (tptp.arr tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal)) (forall ((X0 tptp.tp__ty_2Erealax_2Ereal)) (= (tptp.inj__ty_2Erealax_2Ereal (tptp.fo__c_2Erealax_2Ereal__neg X0)) (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.inj__ty_2Erealax_2Ereal X0)))) (forall ((A_27t tptp.del) (A_27w tptp.del)) (let ((_let_1 (tptp.ty_2Ebinary__ieee_2Efloat A_27t A_27w))) (tptp.mem (tptp.c_2Ebinary__ieee_2Efloat__negate A_27t A_27w) (tptp.arr _let_1 _let_1)))) _let_8 _let_7 _let_6 _let_5 (forall ((X tptp.tp__o)) (= (tptp.surj__o (tptp.inj__o X)) X)) (forall ((X tptp.tp__o)) (tptp.mem (tptp.inj__o X) tptp.bool)) (forall ((X $$unsorted)) (=> (tptp.mem X tptp.bool) (= X (tptp.inj__o (tptp.surj__o X))))) (tptp.mem tptp.c_2Ebool_2ET tptp.bool) (= (tptp.inj__o tptp.fo__c_2Ebool_2ET) tptp.c_2Ebool_2ET) (tptp.p tptp.c_2Ebool_2ET) (forall ((A_27a tptp.del)) (tptp.mem (tptp.c_2Emin_2E_3D A_27a) (tptp.arr A_27a (tptp.arr A_27a tptp.bool)))) (forall ((A tptp.del) (X $$unsorted)) (=> (tptp.mem X A) (forall ((Y $$unsorted)) (=> (tptp.mem Y A) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D A) X) Y)) (= X Y)))))) (forall ((A_27a tptp.del)) (tptp.mem (tptp.c_2Ebool_2E_21 A_27a) (tptp.arr (tptp.arr A_27a tptp.bool) tptp.bool))) (forall ((A tptp.del) (Q $$unsorted)) (=> (tptp.mem Q (tptp.arr A tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 A) Q)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.p (tptp.ap Q X))))))) _let_4 _let_3 true (forall ((A_27a tptp.del) (V0x $$unsorted)) (=> (tptp.mem V0x A_27a) (= (= V0x V0x) true))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.61 )
% 0.21/0.61 % SZS output end Proof for ITP018_2
% 0.21/0.61 % cvc5---1.0.5 exiting
% 0.21/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------