TSTP Solution File: SEU221+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 3.45s 3.64s
% Output : Proof 3.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 01:11:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 3.45/3.64 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vJHdOSCyL2/cvc5---1.0.5_28582.p...
% 3.45/3.64 ------- get file name : TPTP file name is SEU221+3
% 3.45/3.64 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28582.smt2...
% 3.45/3.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.45/3.64 % SZS status Theorem for SEU221+3
% 3.45/3.64 % SZS output start Proof for SEU221+3
% 3.45/3.64 (
% 3.45/3.64 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (tptp.one_to_one (tptp.function_inverse A)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one B) (tptp.in A (tptp.relation_rng B))) (and (= A (tptp.apply B (tptp.apply _let_1 A))) (= A (tptp.apply (tptp.relation_composition _let_1 B) A))))))))) (let ((_let_3 (forall ((A $$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 $$unsorted)) (let ((_let_1 (and (tptp.in C (tptp.relation_rng A)) (= D (tptp.apply B C))))) (let ((_let_2 (and (tptp.in D (tptp.relation_dom A)) (= C (tptp.apply A D))))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))))))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$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_7 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (and (tptp.in B _let_1) (tptp.in C _let_1) (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_8 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_9 (tptp.apply _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_10 (tptp.apply _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9)))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_10)))) (let ((_let_15 (not _let_11))) (let ((_let_16 (tptp.relation_dom _let_8))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_16))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_15 _let_12))) (let ((_let_22 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_2 (tptp.relation_dom _let_1))) (or (not (tptp.in B _let_2)) (not (tptp.in C _let_2)) (not (= (tptp.apply _let_1 B) (tptp.apply _let_1 C))) (= B C))))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.one_to_one _let_8))) (let ((_let_25 (= _let_24 _let_22))) (let ((_let_26 (not _let_22))) (let ((_let_27 (tptp.function _let_8))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.relation _let_8))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_25))) (let ((_let_32 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (and _let_29 _let_27))) (let ((_let_35 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_34))) (let ((_let_40 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_38 _let_36 _let_43 _let_24))) (let ((_let_45 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (tptp.one_to_one (tptp.function_inverse A)))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)))) (let ((_let_51 (REFL :args (_let_44)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_48)) :args ((or _let_35 _let_44))) _let_50 :args (_let_35 true _let_44)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_48)) :args ((or _let_37 _let_44))) _let_50 :args (_let_37 true _let_44)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_36 _let_34 (not _let_39)))) _let_53 _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.function_inverse A)))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_34 false _let_37 false _let_35 false _let_39)))) (let ((_let_55 (not _let_34))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_27 _let_55))) _let_54 :args (_let_27 false _let_34)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 0)) :args ((or _let_29 _let_55))) _let_54 :args (_let_29 false _let_34)))) (let ((_let_58 (_let_26))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_58)) :args _let_58)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_24 _let_26 (not _let_25)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 3)) _let_50 :args ((not _let_24) true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 _let_25 (not _let_31)))) _let_57 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.one_to_one A)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_25 false _let_29 false _let_27 false _let_31)) :args (_let_26 true _let_24 false _let_25)) :args (_let_23 true _let_22)))) (let ((_let_60 (REFL :args (_let_21)))) (let ((_let_61 (not _let_12))) (let ((_let_62 (tptp.relation_composition _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_63 (and _let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 (tptp.apply _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_64 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_65 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_64))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_38 _let_36 _let_43 _let_66 _let_63))) (let ((_let_68 (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_69 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((tptp.apply (tptp.function_inverse B) A)))) (let ((_let_72 (= _let_16 _let_64))) (let ((_let_73 (and _let_72 (forall ((BOUND_VARIABLE_1193 $$unsorted)) (let ((_let_1 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) BOUND_VARIABLE_1193))) (or (not (tptp.in BOUND_VARIABLE_1193 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (and (tptp.in _let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (= BOUND_VARIABLE_1193 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_1)))))) (forall ((BOUND_VARIABLE_1211 $$unsorted)) (let ((_let_1 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 BOUND_VARIABLE_1211))) (or (not (tptp.in BOUND_VARIABLE_1211 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (and (tptp.in _let_1 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (= BOUND_VARIABLE_1211 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_1))))))))) (let ((_let_74 (or _let_38 _let_36 _let_43 _let_30 _let_28 _let_73))) (let ((_let_75 (forall ((A $$unsorted) (BOUND_VARIABLE_1273 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (not (tptp.relation BOUND_VARIABLE_1273)) (not (tptp.function BOUND_VARIABLE_1273)) (= (= (tptp.function_inverse A) BOUND_VARIABLE_1273) (and (= (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1273)) (forall ((BOUND_VARIABLE_1193 $$unsorted)) (let ((_let_1 (tptp.apply BOUND_VARIABLE_1273 BOUND_VARIABLE_1193))) (or (not (tptp.in BOUND_VARIABLE_1193 (tptp.relation_rng A))) (and (tptp.in _let_1 (tptp.relation_dom A)) (= BOUND_VARIABLE_1193 (tptp.apply A _let_1)))))) (forall ((BOUND_VARIABLE_1211 $$unsorted)) (let ((_let_1 (tptp.apply A BOUND_VARIABLE_1211))) (or (not (tptp.in BOUND_VARIABLE_1211 (tptp.relation_dom A))) (and (tptp.in _let_1 (tptp.relation_rng A)) (= BOUND_VARIABLE_1211 (tptp.apply BOUND_VARIABLE_1273 _let_1)))))))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 2)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_48)) :args ((or _let_42 _let_44))) _let_50 :args (_let_42 true _let_44)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 0)) :args ((or _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_38 _let_36 _let_43 _let_30 _let_28 _let_73 (not _let_74)))) _let_53 _let_52 _let_77 _let_57 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.relation_dom BOUND_VARIABLE_1273) (not (= (tptp.relation A) false))))) :args (_let_75)))) _let_76 :args (_let_74 false _let_75)) :args (_let_73 false _let_37 false _let_35 false _let_42 false _let_29 false _let_27 false _let_74)) :args (_let_72 false _let_73)))) (let ((_let_79 (not _let_72))) (let ((_let_80 (and _let_17 _let_72))) (let ((_let_81 (_let_17 _let_72))) (let ((_let_82 (ASSUME :args (_let_17)))) (let ((_let_83 (APPLY_UF tptp.in))) (let ((_let_84 (ASSUME :args (_let_72)))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (and _let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 (tptp.apply _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))) (let ((_let_87 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_64))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_38 _let_36 _let_43 _let_88 _let_86))) (let ((_let_90 (and _let_19 _let_72))) (let ((_let_91 (_let_19 _let_72))) (let ((_let_92 (ASSUME :args (_let_19)))) (let ((_let_93 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_94 (and _let_11 _let_61 _let_13))) (let ((_let_95 (ASSUME :args (_let_61)))) (let ((_let_96 (ASSUME :args (_let_13)))) (let ((_let_97 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_96 _let_97) (SCOPE (FALSE_ELIM (TRANS (CONG _let_93 (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (SYMM (SYMM _let_97)) :args (APPLY_UF tptp.apply)) (SYMM _let_96)) :args (=)) (FALSE_INTRO _let_95))) :args (_let_61 _let_13 _let_11))) :args (_let_11 _let_61 _let_13))) :args (true _let_94)) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_12))) (REFL :args ((not _let_13))) (REFL :args ((not _let_14))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_86 0)) :args ((or _let_14 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_38 _let_36 _let_43 _let_88 _let_86 (not _let_89)))) _let_53 _let_52 _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_84) (SCOPE (TRUE_ELIM (TRANS (CONG _let_93 _let_85 :args _let_83) (TRUE_INTRO _let_92))) :args _let_91)) :args _let_91)) :args (true _let_90)) :args ((or _let_20 _let_87 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_48)) :args ((or _let_19 _let_21))) _let_59 :args (_let_19 true _let_21)) _let_78 :args (_let_87 false _let_19 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_70)) _let_69 :args (_let_89 false _let_68)) :args (_let_86 false _let_37 false _let_35 false _let_42 false _let_87 false _let_89)) :args (_let_14 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 0)) :args ((or _let_13 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_38 _let_36 _let_43 _let_66 _let_63 (not _let_67)))) _let_53 _let_52 _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_84) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) _let_85 :args _let_83) (TRUE_INTRO _let_82))) :args _let_81)) :args _let_81)) :args (true _let_80)) :args ((or _let_18 _let_65 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_48)) :args ((or _let_17 _let_21))) _let_59 :args (_let_17 true _let_21)) _let_78 :args (_let_65 false _let_17 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_63 false _let_37 false _let_35 false _let_42 false _let_65 false _let_67)) :args (_let_13 false _let_63)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 3)) _let_59 :args (_let_61 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_11))) :args _let_48)) :args ((or _let_11 _let_21))) _let_59 :args (_let_11 true _let_21)) :args (false false _let_14 false _let_13 true _let_12 false _let_11)) :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 $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_7 _let_6 (forall ((A $$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)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (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 $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.45/3.66 )
% 3.45/3.66 % SZS output end Proof for SEU221+3
% 3.45/3.66 % cvc5---1.0.5 exiting
% 3.45/3.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------