%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU028+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 16:29:05 EDT 2023

% Result   : Theorem 21.96s 22.15s
% Output   : Proof 21.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU028+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Aug 23 23:35:57 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 21.96/22.15  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3cMTTHW9gm/cvc5---1.0.5_26267.p...
% 21.96/22.15  ------- get file name : TPTP file name is SEU028+1
% 21.96/22.15  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26267.smt2...
% 21.96/22.15  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.96/22.15  --- Run --no-e-matching --full-saturate-quant at 5...
% 21.96/22.15  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.96/22.15  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.96/22.15  % SZS status Theorem for SEU028+1
% 21.96/22.15  % SZS output start Proof for SEU028+1
% 21.96/22.15  (
% 21.96/22.15  (let ((_let_1 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (and (= (tptp.relation_composition A _let_1) (tptp.identity_relation (tptp.relation_dom A))) (= (tptp.relation_composition _let_1 A) (tptp.identity_relation (tptp.relation_rng A))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (let ((_let_2 (tptp.relation_composition (tptp.function_inverse A) A))) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (and (= (tptp.relation_dom _let_2) _let_1) (= (tptp.relation_rng _let_2) _let_1))))))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (let ((_let_2 (tptp.relation_composition A (tptp.function_inverse A)))) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (and (= (tptp.relation_dom _let_2) _let_1) (= (tptp.relation_rng _let_2) _let_1))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one B) (tptp.in A (tptp.relation_rng B))) (and (= A (tptp.apply B (tptp.apply _let_1 A))) (= A (tptp.apply (tptp.relation_composition _let_1 B) A))))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one B) (tptp.in A (tptp.relation_dom B))) (and (= A (tptp.apply _let_1 (tptp.apply B A))) (= A (tptp.apply (tptp.relation_composition B _let_1) A))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (= (= B (tptp.identity_relation A)) (and (= (tptp.relation_dom B) A) (forall ((C $$unsorted)) (=> (tptp.in C A) (= (tptp.apply B C) C))))))))) (let ((_let_7 (tptp.relation tptp.empty_set))) (let ((_let_8 (tptp.empty tptp.empty_set))) (let ((_let_9 (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))))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_11 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (= C (tptp.apply (tptp.relation_composition (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) C)))))) (let ((_let_12 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_13 (tptp.relation_composition _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_14 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_15 (= _let_14 (tptp.relation_dom _let_13)))) (let ((_let_16 (and _let_15 _let_11))) (let ((_let_17 (= _let_13 (tptp.identity_relation _let_14)))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.function _let_13))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.relation _let_13))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18))) (let ((_let_24 (not _let_18))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 (tptp.apply _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116)))) (let ((_let_26 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 _let_14))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25))) (let ((_let_29 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_30 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_31 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_32 (and (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (tptp.apply _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116))) _let_25))) (let ((_let_33 (not _let_31))) (let ((_let_34 (not _let_30))) (let ((_let_35 (not _let_29))) (let ((_let_36 (or _let_35 _let_34 _let_33 _let_27 _let_32))) (let ((_let_37 (or))) (let ((_let_38 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_39 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_12))) (let ((_let_40 (= _let_39 (tptp.identity_relation _let_38)))) (let ((_let_41 (and _let_40 _let_17))) (let ((_let_42 (or _let_35 _let_34 _let_33 _let_41))) (let ((_let_43 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (and (= (tptp.relation_composition A _let_1) (tptp.identity_relation (tptp.relation_dom A))) (= (tptp.relation_composition _let_1 A) (tptp.identity_relation (tptp.relation_rng A))))))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (not _let_43))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_46))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_43))) (REFL :args (_let_44)) :args _let_37)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_48 (REFL :args (_let_42)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_29))) :args _let_37)) :args ((or _let_29 _let_42))) _let_47 :args (_let_29 true _let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) :args _let_37)) :args ((or _let_30 _let_42))) _let_47 :args (_let_30 true _let_42)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 2)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_31))) :args _let_37)) :args ((or _let_31 _let_42))) _let_47 :args (_let_31 true _let_42)))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.one_to_one B)) (not (tptp.in A (tptp.relation_rng B))) (and (= A (tptp.apply B (tptp.apply _let_1 A))) (= A (tptp.apply (tptp.relation_composition _let_1 B) A)))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (not _let_11))) (let ((_let_55 (_let_54))) (let ((_let_56 (and _let_15 (= _let_14 (tptp.relation_rng _let_13))))) (let ((_let_57 (or _let_35 _let_34 _let_33 _let_56))) (let ((_let_58 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_composition (tptp.function_inverse A) A))) (let ((_let_2 (tptp.relation_rng A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (and (= _let_2 (tptp.relation_dom _let_1)) (= _let_2 (tptp.relation_rng _let_1))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_61 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (= C (tptp.apply (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) C)))))) (let ((_let_62 (= _let_38 (tptp.relation_dom _let_39)))) (let ((_let_63 (and _let_62 _let_61))) (let ((_let_64 (= _let_40 _let_63))) (let ((_let_65 (tptp.function _let_39))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.relation _let_39))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66 _let_64))) (let ((_let_70 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (= (= B (tptp.identity_relation A)) (and (= A (tptp.relation_dom B)) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (= C (tptp.apply B C)))))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 (and _let_67 _let_65))) (let ((_let_74 (tptp.function _let_12))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.relation _let_12))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_35 _let_34 _let_77 _let_75 _let_73))) (let ((_let_79 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation B)) (not (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (_let_79))) (let ((_let_82 (and _let_76 _let_74))) (let ((_let_83 (or _let_35 _let_34 _let_82))) (let ((_let_84 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_35 _let_34 _let_82 (not _let_83)))) _let_49 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_60) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_82 false _let_29 false _let_30 false _let_83)))) (let ((_let_87 (not _let_82))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 1)) :args ((or _let_74 _let_87))) _let_86 :args (_let_74 false _let_82)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 0)) :args ((or _let_76 _let_87))) _let_86 :args (_let_76 false _let_82)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_35 _let_34 _let_77 _let_75 _let_73 (not _let_78)))) _let_49 _let_50 _let_89 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_80 :args (_let_78 false _let_79)) :args (_let_73 false _let_29 false _let_30 false _let_76 false _let_74 false _let_78)))) (let ((_let_91 (not _let_73))) (let ((_let_92 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 (tptp.apply _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95)))) (let ((_let_93 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 _let_38))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92))) (let ((_let_96 (and (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 (tptp.apply _let_12 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95))) _let_92))) (let ((_let_97 (or _let_35 _let_34 _let_33 _let_94 _let_96))) (let ((_let_98 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.one_to_one B)) (not (tptp.in A (tptp.relation_dom B))) (and (= A (tptp.apply _let_1 (tptp.apply B A))) (= A (tptp.apply (tptp.relation_composition B _let_1) A)))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (not _let_61))) (let ((_let_101 (_let_100))) (let ((_let_102 (and _let_62 (= _let_38 (tptp.relation_rng _let_39))))) (let ((_let_103 (or _let_35 _let_34 _let_33 _let_102))) (let ((_let_104 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_composition A (tptp.function_inverse A)))) (let ((_let_2 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (and (= _let_2 (tptp.relation_dom _let_1)) (= _let_2 (tptp.relation_rng _let_1))))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (and _let_21 _let_19))) (let ((_let_107 (or _let_77 _let_75 _let_35 _let_34 _let_106))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_35 _let_34 _let_77 _let_75 _let_106 (not _let_107)))) _let_49 _let_50 _let_89 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_80 :args (_let_107 false _let_79)) :args (_let_106 false _let_29 false _let_30 false _let_76 false _let_74 false _let_107)))) (let ((_let_109 (not _let_106))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 _let_18 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 1)) :args ((or _let_19 _let_109))) _let_108 :args (_let_19 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 0)) :args ((or _let_21 _let_109))) _let_108 :args (_let_21 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_14 _let_13 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_72)) _let_71 :args (_let_23 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_18)) :args ((or _let_17 (not _let_16) _let_24))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_41)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 3)) _let_47 :args ((not _let_41) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_64)) :args ((or _let_40 (not _let_63) (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_63)) :args ((or (not _let_62) _let_63 _let_100))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_62 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_35 _let_34 _let_33 _let_102 (not _let_103)))) _let_49 _let_50 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_60) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_102 false _let_29 false _let_30 false _let_31 false _let_103)) :args (_let_62 false _let_102)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_101)) :args _let_101)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_61))) (REFL :args ((not _let_95))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 1)) :args ((or _let_92 (not _let_96)))) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_35 _let_34 _let_33 _let_94 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_98))) _let_99 :args (_let_97 false _let_98)) _let_51 _let_50 _let_49 (CNF_OR_NEG :args (_let_95 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 0)) (CONG (REFL :args (_let_95)) (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_37)) :args ((or _let_93 _let_95))) :args (_let_95 false _let_96 false _let_97 false _let_31 false _let_30 false _let_29 true _let_92 false _let_93)) :args (_let_61 false _let_95)) :args (_let_63 false _let_62 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_66 _let_64 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 0)) :args ((or _let_67 _let_91))) _let_90 :args (_let_67 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 1)) :args ((or _let_65 _let_91))) _let_90 :args (_let_65 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_38 _let_39 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_72)) _let_71 :args (_let_69 false _let_70)) :args (_let_64 false _let_67 false _let_65 false _let_69)) :args (_let_40 false _let_63 false _let_64)) :args ((not _let_17) true _let_41 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_16)) :args ((or (not _let_15) _let_16 _let_54))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_56 0)) :args ((or _let_15 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_35 _let_34 _let_33 _let_56 (not _let_57)))) _let_49 _let_50 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_60) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_56 false _let_29 false _let_30 false _let_31 false _let_57)) :args (_let_15 false _let_56)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_11))) (REFL :args ((not _let_28))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_25 (not _let_32)))) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_34 _let_33 _let_27 _let_32 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_52))) _let_53 :args (_let_36 false _let_52)) _let_51 _let_50 _let_49 (CNF_OR_NEG :args (_let_28 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_37)) :args ((or _let_26 _let_28))) :args (_let_28 false _let_32 false _let_36 false _let_31 false _let_30 false _let_29 true _let_25 false _let_26)) :args (_let_11 false _let_28)) :args (_let_16 false _let_15 false _let_11)) :args (_let_24 true _let_17 false _let_16)) :args (false false _let_19 false _let_21 false _let_23 true _let_18)) :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 $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))) (forall ((A $$unsorted)) (tptp.relation (tptp.identity_relation A))) (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_8 _let_7 (tptp.relation_empty_yielding tptp.empty_set)) _let_9 (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.identity_relation A))) (and (tptp.relation _let_1) (tptp.function _let_1)))) (and _let_8 _let_7) (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)))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_5 _let_4 _let_3 _let_2 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.96/22.15  )
% 21.96/22.15  % SZS output end Proof for SEU028+1
% 21.96/22.15  % cvc5---1.0.5 exiting
% 21.96/22.16  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------