TSTP Solution File: SEU220+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU220+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 16:30:09 EDT 2023
% Result : Theorem 1.03s 1.36s
% Output : Proof 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU220+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n003.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 : Wed Aug 23 14:12:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 1.03/1.36 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8UGQHKOPGn/cvc5---1.0.5_9554.p...
% 1.03/1.36 ------- get file name : TPTP file name is SEU220+3
% 1.03/1.36 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9554.smt2...
% 1.03/1.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.03/1.36 % SZS status Theorem for SEU220+3
% 1.03/1.36 % SZS output start Proof for SEU220+3
% 1.03/1.36 (
% 1.03/1.36 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one B) (tptp.in A (tptp.relation_rng B))) (and (= A (tptp.apply B (tptp.apply _let_1 A))) (= A (tptp.apply (tptp.relation_composition _let_1 B) A)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (forall ((B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (= (= B (tptp.function_inverse A)) (and (= (tptp.relation_dom B) (tptp.relation_rng A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (and (tptp.in C (tptp.relation_rng A)) (= D (tptp.apply B C))))) (let ((_let_2 (and (tptp.in D (tptp.relation_dom A)) (= C (tptp.apply A D))))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))))))))))) (let ((_let_4 (forall ((A $$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_5 (tptp.relation tptp.empty_set))) (let ((_let_6 (tptp.empty tptp.empty_set))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_8 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (tptp.apply (tptp.relation_composition _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (tptp.apply _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_11 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_11))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9))) (let ((_let_15 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.relation_dom _let_8))) (let ((_let_20 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.function _let_8))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.relation _let_8))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21 _let_18 _let_16 _let_12))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1179 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.in A (tptp.relation_dom B))) (not (tptp.relation BOUND_VARIABLE_1179)) (not (tptp.function BOUND_VARIABLE_1179)) (= (tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1179) A) (tptp.apply BOUND_VARIABLE_1179 (tptp.apply B A))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_30 (= _let_29 _let_19))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_29))) (let ((_let_32 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_33 (and _let_30 (= _let_32 (tptp.relation_rng _let_8))))) (let ((_let_34 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_18 _let_16 _let_35 _let_33))) (let ((_let_37 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1)))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (and _let_13 _let_14))) (let ((_let_40 (not _let_31))) (let ((_let_41 (or _let_18 _let_16 _let_35 _let_40 _let_39))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.one_to_one B)) (not (tptp.in A (tptp.relation_rng B))) (and (= A (tptp.apply B (tptp.apply _let_1 A))) (= A (tptp.apply (tptp.relation_composition _let_1 B) A)))))))) (let ((_let_43 (not _let_41))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (or))) (let ((_let_46 (not _let_42))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_44) :args (_let_46))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_42))) (REFL :args (_let_43)) :args _let_45)) _let_44 :args (_let_43 true _let_42)))) (let ((_let_48 (REFL :args (_let_41)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 2)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_45)) :args ((or _let_34 _let_41))) _let_47 :args (_let_34 true _let_41)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_45)) :args ((or _let_15 _let_41))) _let_47 :args (_let_15 true _let_41)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_45)) :args ((or _let_17 _let_41))) _let_47 :args (_let_17 true _let_41)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 3)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_31))) :args _let_45)) :args ((or _let_31 _let_41))) _let_47 :args (_let_31 true _let_41)))) (let ((_let_53 (and _let_31 _let_30))) (let ((_let_54 (_let_31 _let_30))) (let ((_let_55 (ASSUME :args (_let_31)))) (let ((_let_56 (ASSUME :args (_let_30)))) (let ((_let_57 (and _let_24 _let_22))) (let ((_let_58 (or _let_18 _let_16 _let_57))) (let ((_let_59 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_18 _let_16 _let_57 (not _let_58)))) _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.function_inverse A)))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_57 false _let_17 false _let_15 false _let_58)))) (let ((_let_62 (not _let_57))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_57 1)) :args ((or _let_22 _let_62))) _let_61 :args (_let_22 false _let_57)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_57 0)) :args ((or _let_24 _let_62))) _let_61 :args (_let_24 false _let_57)))) (let ((_let_65 (and (tptp.in _let_10 _let_32) _let_13))) (let ((_let_66 (or _let_40 _let_65))) (let ((_let_67 (forall ((BOUND_VARIABLE_1219 $$unsorted)) (let ((_let_1 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) BOUND_VARIABLE_1219))) (or (not (tptp.in BOUND_VARIABLE_1219 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (and (tptp.in _let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (= BOUND_VARIABLE_1219 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_1)))))))) (let ((_let_68 (and _let_30 _let_67 (forall ((BOUND_VARIABLE_1237 $$unsorted)) (let ((_let_1 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 BOUND_VARIABLE_1237))) (or (not (tptp.in BOUND_VARIABLE_1237 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (and (tptp.in _let_1 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (= BOUND_VARIABLE_1237 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_1))))))))) (let ((_let_69 (or _let_18 _let_16 _let_35 _let_25 _let_23 _let_68))) (let ((_let_70 (forall ((A $$unsorted) (BOUND_VARIABLE_1299 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (not (tptp.relation BOUND_VARIABLE_1299)) (not (tptp.function BOUND_VARIABLE_1299)) (= (= (tptp.function_inverse A) BOUND_VARIABLE_1299) (and (= (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1299)) (forall ((BOUND_VARIABLE_1219 $$unsorted)) (let ((_let_1 (tptp.apply BOUND_VARIABLE_1299 BOUND_VARIABLE_1219))) (or (not (tptp.in BOUND_VARIABLE_1219 (tptp.relation_rng A))) (and (tptp.in _let_1 (tptp.relation_dom A)) (= BOUND_VARIABLE_1219 (tptp.apply A _let_1)))))) (forall ((BOUND_VARIABLE_1237 $$unsorted)) (let ((_let_1 (tptp.apply A BOUND_VARIABLE_1237))) (or (not (tptp.in BOUND_VARIABLE_1237 (tptp.relation_dom A))) (and (tptp.in _let_1 (tptp.relation_rng A)) (= BOUND_VARIABLE_1237 (tptp.apply BOUND_VARIABLE_1299 _let_1)))))))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_67))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_13 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_40 _let_65 (not _let_66)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in BOUND_VARIABLE_1219 _let_29) false))))) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 1)) :args ((or _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_18 _let_16 _let_35 _let_25 _let_23 _let_68 (not _let_69)))) _let_51 _let_50 _let_49 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.relation_dom BOUND_VARIABLE_1299) (not (= (tptp.function A) false))))) :args (_let_70)))) _let_71 :args (_let_69 false _let_70)) :args (_let_68 false _let_17 false _let_15 false _let_34 false _let_24 false _let_22 false _let_69)) :args (_let_67 false _let_68)) :args (_let_66 false _let_67)) :args (_let_65 false _let_31 false _let_66)) :args (_let_13 false _let_65)))) (let ((_let_74 (and _let_13 _let_12))) (let ((_let_75 (ASSUME :args (_let_12)))) (let ((_let_76 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_75 _let_76) (SCOPE (TRANS (SYMM (SYMM _let_76)) (SYMM (SYMM _let_75))) :args (_let_12 _let_13))) :args (_let_13 _let_12))) :args (true _let_74)) :args ((or _let_14 (not _let_13) (not _let_12)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_39)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_41 4)) _let_47 :args ((not _let_39) true _let_41)) _let_73 :args ((not _let_14) true _let_39 false _let_13)) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_18 _let_16 _let_25 _let_23 _let_21 _let_12 (not _let_26)))) _let_51 _let_50 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (SYMM _let_56) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_55))) :args _let_54)) :args _let_54)) :args (true _let_53)) :args ((or _let_40 _let_20 (not _let_30)))) _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 0)) :args ((or _let_30 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_18 _let_16 _let_35 _let_33 (not _let_36)))) _let_51 _let_50 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.function A) false))))) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_33 false _let_17 false _let_15 false _let_34 false _let_36)) :args (_let_30 false _let_33)) :args (_let_20 false _let_31 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1179) A)))) :args (_let_27)))) _let_28 :args (_let_26 false _let_27)) :args (_let_12 false _let_17 false _let_15 false _let_24 false _let_22 false _let_20 false _let_26)) :args (false true _let_14 false _let_13 false _let_12)) :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 $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_7 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.relation_composition B A))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (and _let_6 _let_5 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$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_6 (and _let_6 _let_5) (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)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_4 (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 $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_3 _let_2 _let_1 (forall ((A $$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)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.03/1.37 )
% 1.03/1.37 % SZS output end Proof for SEU220+3
% 1.03/1.37 % cvc5---1.0.5 exiting
% 1.03/1.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------