%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU075+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 16:29:12 EDT 2023

% Result   : Theorem 71.79s 71.97s
% Output   : Proof 71.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU075+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.17/0.36  % Computer : n014.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit   : 300
% 0.17/0.36  % WCLimit    : 300
% 0.17/0.36  % DateTime   : Wed Aug 23 22:28:34 EDT 2023
% 0.17/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 71.79/71.97  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.urFhzRj755/cvc5---1.0.5_31085.p...
% 71.79/71.97  ------- get file name : TPTP file name is SEU075+1
% 71.79/71.97  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31085.smt2...
% 71.79/71.97  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 71.79/71.97  --- Run --no-e-matching --full-saturate-quant at 5...
% 71.79/71.97  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 71.79/71.97  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 71.79/71.97  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 71.79/71.97  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 71.79/71.97  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 71.79/71.97  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 71.79/71.97  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 71.79/71.97  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 71.79/71.97  --- Run --relevant-triggers --full-saturate-quant at 5...
% 71.79/71.97  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 71.79/71.97  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 71.79/71.97  % SZS status Theorem for SEU075+1
% 71.79/71.97  % SZS output start Proof for SEU075+1
% 71.79/71.97  (
% 71.79/71.97  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (= (tptp.relation_dom A) (tptp.relation_dom B)) (forall ((C $$unsorted)) (=> (tptp.in C (tptp.relation_dom A)) (= (tptp.apply A C) (tptp.apply B C))))) (= A B)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in A (tptp.relation_dom B)) (= (tptp.apply (tptp.relation_composition B C) A) (tptp.apply C (tptp.apply B A)))))))))) (let ((_let_3 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (forall ((D $$unsorted)) (=> (and (tptp.relation D) (tptp.function D)) (=> (and (= A (tptp.relation_rng B)) (= (tptp.relation_dom C) A) (= (tptp.relation_dom D) A) (= (tptp.relation_composition B C) (tptp.relation_composition B D))) (= C D))))))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (= (= B (tptp.relation_rng A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in D (tptp.relation_dom A)) (= C (tptp.apply A D)))))))))))) (let ((_let_7 (tptp.relation_composition skv_13 skv_14))) (let ((_let_8 (tptp.relation_composition skv_13 skv_15))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (skop_16 skv_15 skv_14))) (let ((_let_11 (= (tptp.apply skv_15 _let_10) (tptp.apply skv_14 _let_10)))) (let ((_let_12 (tptp.apply skv_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (= (tptp.apply _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) (tptp.apply skv_14 _let_12)))) (let ((_let_15 (= (tptp.apply _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) (tptp.apply skv_15 _let_12)))) (let ((_let_16 (= skv_14 skv_15))) (let ((_let_17 (not _let_9))) (let ((_let_18 (tptp.relation_dom skv_14))) (let ((_let_19 (tptp.relation_rng skv_13))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (tptp.function skv_14))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.relation skv_14))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.relation_dom skv_15))) (let ((_let_26 (= _let_19 _let_25))) (let ((_let_27 (tptp.function skv_15))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.relation skv_15))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.function skv_13))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.relation skv_13))) (let ((_let_34 (not _let_33))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((B $$unsorted) (BOUND_VARIABLE_1248 $$unsorted) (BOUND_VARIABLE_1246 $$unsorted)) (let ((_let_1 (tptp.relation_rng B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1246)) (not (tptp.function BOUND_VARIABLE_1246)) (not (= _let_1 (tptp.relation_dom BOUND_VARIABLE_1246))) (not (tptp.relation BOUND_VARIABLE_1248)) (not (tptp.function BOUND_VARIABLE_1248)) (not (= _let_1 (tptp.relation_dom BOUND_VARIABLE_1248))) (not (= (tptp.relation_composition B BOUND_VARIABLE_1246) (tptp.relation_composition B BOUND_VARIABLE_1248))) (= BOUND_VARIABLE_1246 BOUND_VARIABLE_1248))))) (not (or _let_34 _let_32 _let_30 _let_28 (not _let_26) _let_24 _let_22 (not _let_20) _let_17 _let_16))))))))) (let ((_let_36 (not _let_11))) (let ((_let_37 (tptp.in _let_10 _let_25))) (let ((_let_38 (and _let_37 _let_36))) (let ((_let_39 (= _let_25 _let_18))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_30 _let_28 _let_24 _let_22 _let_40 _let_38 _let_16))) (let ((_let_42 (forall ((A $$unsorted) (BOUND_VARIABLE_1389 $$unsorted)) (let ((_let_1 (skop_16 A BOUND_VARIABLE_1389))) (let ((_let_2 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation BOUND_VARIABLE_1389)) (not (tptp.function BOUND_VARIABLE_1389)) (not (= _let_2 (tptp.relation_dom BOUND_VARIABLE_1389))) (and (tptp.in _let_1 _let_2) (not (= (tptp.apply A _let_1) (tptp.apply BOUND_VARIABLE_1389 _let_1)))) (= A BOUND_VARIABLE_1389))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (BOUND_VARIABLE_1389 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation BOUND_VARIABLE_1389)) (not (tptp.function BOUND_VARIABLE_1389)) (not (= (tptp.relation_dom A) (tptp.relation_dom BOUND_VARIABLE_1389))) (not (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.relation_dom A))) (= (tptp.apply A C) (tptp.apply BOUND_VARIABLE_1389 C))))) (= A BOUND_VARIABLE_1389))) _let_42))))))) (let ((_let_44 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (4))))) (let ((_let_45 (and _let_26 _let_20))) (let ((_let_46 (ASSUME :args (_let_20)))) (let ((_let_47 (ASSUME :args (_let_26)))) (let ((_let_48 (SYMM (SYMM _let_47)))) (let ((_let_49 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (6))))) (let ((_let_50 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (5))))) (let ((_let_51 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (3))))) (let ((_let_52 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (2))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_30 _let_28 _let_24 _let_22 _let_16 _let_40 _let_38 (not _let_41)))) _let_52 _let_51 _let_50 _let_49 (NOT_OR_ELIM _let_35 :args (9)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_46 _let_47) (SCOPE (TRANS (SYMM _let_48) (SYMM (SYMM _let_46))) :args (_let_20 _let_26))) :args (_let_26 _let_20))) :args (true _let_45)) _let_44 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (7))) :args (_let_39 false _let_26 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (skv_15 skv_14 QUANTIFIERS_INST_E_MATCHING ((tptp.relation_dom BOUND_VARIABLE_1389) (tptp.relation_dom A)))) :args (_let_42)))) _let_43 :args (_let_41 false _let_42)) :args (_let_38 false _let_29 false _let_27 false _let_23 false _let_21 true _let_16 false _let_39 false _let_41)))) (let ((_let_54 (not _let_38))) (let ((_let_55 (not _let_13))) (let ((_let_56 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 (tptp.relation_dom skv_13)))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55))) (let ((_let_59 (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom skv_13))) (not (= (skop_16 skv_15 skv_14) (tptp.apply skv_13 D))))))) (let ((_let_60 (not _let_58))) (let ((_let_61 (tptp.in _let_10 _let_19))) (let ((_let_62 (not _let_59))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom skv_13))) (not (= C (tptp.apply skv_13 D)))))) (tptp.in C (tptp.relation_rng skv_13)))))) (let ((_let_65 (or _let_34 _let_32 _let_64))) (let ((_let_66 (forall ((A $$unsorted) (BOUND_VARIABLE_1026 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (= (tptp.relation_rng A) BOUND_VARIABLE_1026) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom A))) (not (= C (tptp.apply A D)))))) (tptp.in C BOUND_VARIABLE_1026)))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (1))))) (let ((_let_69 (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (0))))) (let ((_let_70 (_let_64))) (let ((_let_71 (and _let_26 _let_37))) (let ((_let_72 (ASSUME :args (_let_37)))) (let ((_let_73 (or))) (let ((_let_74 (_let_62))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_59))) (REFL :args (_let_60)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_62 (not _let_61) (not _let_63)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_47) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_10)) _let_48 :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_72))) :args (_let_37 _let_26))) :args (_let_26 _let_37))) :args (true _let_71)) _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 0)) :args ((or _let_37 _let_54))) _let_53 :args (_let_37 false _let_38)) :args (_let_61 false _let_26 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_19)))) :args _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_34 _let_32 _let_64 (not _let_65)))) _let_69 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (skv_13 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_66)))) _let_67 :args (_let_65 false _let_66)) :args (_let_64 false _let_33 false _let_31 false _let_65)) :args (_let_63 false _let_64)) :args (_let_62 false _let_61 false _let_63)) :args (_let_60 true _let_59)))) (let ((_let_76 (REFL :args (_let_58)))) (let ((_let_77 (or _let_34 _let_32 _let_57 _let_24 _let_22 _let_14))) (let ((_let_78 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1312 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.in A (tptp.relation_dom B))) (not (tptp.relation BOUND_VARIABLE_1312)) (not (tptp.function BOUND_VARIABLE_1312)) (= (tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1312) A) (tptp.apply BOUND_VARIABLE_1312 (tptp.apply B A))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 ((tptp.apply BOUND_VARIABLE_1312 (tptp.apply B A))))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 0)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_73)) :args ((or _let_56 _let_58))) _let_75 :args (_let_56 true _let_58)))) (let ((_let_83 (or _let_34 _let_32 _let_57 _let_30 _let_28 _let_15))) (let ((_let_84 (and _let_9 _let_13 _let_14 _let_15))) (let ((_let_85 (APPLY_UF tptp.apply))) (let ((_let_86 (ASSUME :args (_let_13)))) (let ((_let_87 (ASSUME :args (_let_14)))) (let ((_let_88 (ASSUME :args (_let_9)))) (let ((_let_89 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_86 _let_87 _let_88 _let_89) (SCOPE (TRANS (CONG (REFL :args (skv_15)) _let_86 :args _let_85) (SYMM _let_89) (CONG (SYMM (SYMM _let_88)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) :args _let_85) (SYMM (SYMM _let_87)) (CONG (REFL :args (skv_14)) (SYMM _let_86) :args _let_85)) :args (_let_13 _let_14 _let_9 _let_15))) :args (_let_9 _let_13 _let_14 _let_15))) :args (true _let_84)) :args ((or _let_17 _let_11 _let_55 (not _let_14) (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_34 _let_32 _let_30 _let_28 _let_57 _let_15 (not _let_83)))) _let_69 _let_68 _let_52 _let_51 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 skv_13 skv_15 QUANTIFIERS_INST_E_MATCHING _let_81)) :args _let_80)) _let_79 :args (_let_83 false _let_78)) :args (_let_15 false _let_33 false _let_31 false _let_29 false _let_27 false _let_56 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_34 _let_32 _let_24 _let_22 _let_57 _let_14 (not _let_77)))) _let_69 _let_68 _let_50 _let_49 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 skv_13 skv_14 QUANTIFIERS_INST_E_MATCHING _let_81)) :args _let_80)) _let_79 :args (_let_77 false _let_78)) :args (_let_14 false _let_33 false _let_31 false _let_23 false _let_21 false _let_56 false _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 1)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_13))) :args _let_73)) :args ((or _let_13 _let_58))) _let_75 :args (_let_13 true _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_36 _let_54))) _let_53 :args (_let_36 false _let_38)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (8))) :args (false false _let_15 false _let_14 false _let_13 true _let_11 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition B A))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (and _let_5 _let_4 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.relation A) (tptp.function A) (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_5 (and _let_5 _let_4) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 71.79/71.99  )
% 71.79/71.99  % SZS output end Proof for SEU075+1
% 71.79/71.99  % cvc5---1.0.5 exiting
% 71.79/71.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------