TSTP Solution File: SEU027+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 25.97s 26.24s
% Output : Proof 25.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n027.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 01:57:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 25.97/26.24 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ow9DbsDORN/cvc5---1.0.5_20445.p...
% 25.97/26.24 ------- get file name : TPTP file name is SEU027+1
% 25.97/26.24 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20445.smt2...
% 25.97/26.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.97/26.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.97/26.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.97/26.24 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.97/26.24 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.97/26.24 % SZS status Theorem for SEU027+1
% 25.97/26.24 % SZS output start Proof for SEU027+1
% 25.97/26.24 (
% 25.97/26.24 (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 $$unsorted)) (=> (tptp.in C (tptp.relation_dom A)) (= (tptp.apply A C) (tptp.apply B C))))) (= A B)))))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one A) (= (tptp.relation_dom A) (tptp.relation_rng B)) (= (tptp.relation_rng A) (tptp.relation_dom B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.in C (tptp.relation_dom A)) (tptp.in D (tptp.relation_dom B))) (= (= (tptp.apply A C) D) (= (tptp.apply B D) C))))) (= B (tptp.function_inverse A)))))))))) (let ((_let_3 (forall ((A $$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 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_7))) (let ((_let_9 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_11 (tptp.apply _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87))) (let ((_let_12 (tptp.in _let_11 _let_9))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_11)))) (let ((_let_14 (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87) _let_11))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (not _let_8))) (let ((_let_17 (not _let_12))) (let ((_let_18 (or _let_17 _let_16 _let_15))) (let ((_let_19 (or _let_16 _let_14))) (let ((_let_20 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 C) (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) C)))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10))) (let ((_let_23 (not _let_20))) (let ((_let_24 (tptp.relation_dom _let_10))) (let ((_let_25 (= _let_7 _let_24))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.function _let_10))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.relation _let_10))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30 _let_28 _let_26 _let_23 _let_22))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_1406 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation BOUND_VARIABLE_1406)) (not (tptp.function BOUND_VARIABLE_1406)) (not (= (tptp.relation_dom A) (tptp.relation_dom BOUND_VARIABLE_1406))) (not (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.relation_dom A))) (= (tptp.apply A C) (tptp.apply BOUND_VARIABLE_1406 C))))) (= A BOUND_VARIABLE_1406))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_39 (= _let_38 _let_24))) (let ((_let_40 (= _let_38 _let_7))) (let ((_let_41 (forall ((BOUND_VARIABLE_1172 $$unsorted)) (let ((_let_1 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) BOUND_VARIABLE_1172))) (or (not (tptp.in BOUND_VARIABLE_1172 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (and (tptp.in _let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (= BOUND_VARIABLE_1172 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_1)))))))) (let ((_let_42 (and _let_39 _let_41 (forall ((BOUND_VARIABLE_1190 $$unsorted)) (let ((_let_1 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 BOUND_VARIABLE_1190))) (or (not (tptp.in BOUND_VARIABLE_1190 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (and (tptp.in _let_1 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (= BOUND_VARIABLE_1190 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_1))))))))) (let ((_let_43 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_44 _let_30 _let_28 _let_42))) (let ((_let_50 (forall ((A $$unsorted) (BOUND_VARIABLE_1252 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (not (tptp.relation BOUND_VARIABLE_1252)) (not (tptp.function BOUND_VARIABLE_1252)) (= (= (tptp.function_inverse A) BOUND_VARIABLE_1252) (and (= (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1252)) (forall ((BOUND_VARIABLE_1172 $$unsorted)) (let ((_let_1 (tptp.apply BOUND_VARIABLE_1252 BOUND_VARIABLE_1172))) (or (not (tptp.in BOUND_VARIABLE_1172 (tptp.relation_rng A))) (and (tptp.in _let_1 (tptp.relation_dom A)) (= BOUND_VARIABLE_1172 (tptp.apply A _let_1)))))) (forall ((BOUND_VARIABLE_1190 $$unsorted)) (let ((_let_1 (tptp.apply A BOUND_VARIABLE_1190))) (or (not (tptp.in BOUND_VARIABLE_1190 (tptp.relation_dom A))) (and (tptp.in _let_1 (tptp.relation_rng A)) (= BOUND_VARIABLE_1190 (tptp.apply BOUND_VARIABLE_1252 _let_1)))))))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (and _let_29 _let_27))) (let ((_let_53 (or _let_48 _let_46 _let_52))) (let ((_let_54 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (forall ((C $$unsorted) (D $$unsorted)) (or (not (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (not (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (= (= D (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 C)) (= C (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D))))))) (let ((_let_57 (not _let_56))) (let ((_let_58 (not _let_40))) (let ((_let_59 (not (= _let_9 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_60 (or _let_48 _let_46 _let_44 _let_34 _let_32 _let_59 _let_58 _let_57 _let_22))) (let ((_let_61 (forall ((A $$unsorted) (BOUND_VARIABLE_1332 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (not (tptp.relation BOUND_VARIABLE_1332)) (not (tptp.function BOUND_VARIABLE_1332)) (not (= (tptp.relation_dom A) (tptp.relation_rng BOUND_VARIABLE_1332))) (not (= (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1332))) (not (forall ((C $$unsorted) (D $$unsorted)) (or (not (tptp.in C (tptp.relation_dom A))) (not (tptp.in D (tptp.relation_dom BOUND_VARIABLE_1332))) (= (= D (tptp.apply A C)) (= C (tptp.apply BOUND_VARIABLE_1332 D)))))) (= (tptp.function_inverse A) BOUND_VARIABLE_1332))))) (let ((_let_62 (not _let_60))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (or))) (let ((_let_65 (not _let_61))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_63) :args (_let_65)) (REWRITE :args ((=> _let_65 (not (or _let_48 _let_46 _let_44 _let_34 _let_32 _let_59 _let_58 _let_57 (= _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_61))) (REFL :args (_let_62)) :args _let_64)) _let_63 :args (_let_62 true _let_61)))) (let ((_let_67 (REFL :args (_let_60)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 1)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_64)) :args ((or _let_45 _let_60))) _let_66 :args (_let_45 true _let_60)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 0)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_64)) :args ((or _let_47 _let_60))) _let_66 :args (_let_47 true _let_60)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_48 _let_46 _let_52 (not _let_53)))) _let_69 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.function_inverse A)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_47 false _let_45 false _let_53)))) (let ((_let_71 (not _let_52))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_27 _let_71))) _let_70 :args (_let_27 false _let_52)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 0)) :args ((or _let_29 _let_71))) _let_70 :args (_let_29 false _let_52)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_46 _let_44 _let_30 _let_28 _let_42 (not _let_49)))) _let_69 _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 2)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_64)) :args ((or _let_43 _let_60))) _let_66 :args (_let_43 true _let_60)) _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_50)))) _let_51 :args (_let_49 false _let_50)) :args (_let_42 false _let_47 false _let_45 false _let_43 false _let_29 false _let_27 false _let_49)))) (let ((_let_75 (not _let_42))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 6)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_40))) :args _let_64)) :args ((or _let_40 _let_60))) _let_66 :args (_let_40 true _let_60)))) (let ((_let_77 (and _let_40 _let_39))) (let ((_let_78 (ASSUME :args (_let_39)))) (let ((_let_79 (ASSUME :args (_let_40)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (_let_23))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_81)) :args _let_81)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_20))) (REFL :args (_let_21)) :args _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_22 _let_30 _let_28 _let_26 _let_23 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 3)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_64)) :args ((or _let_33 _let_60))) _let_66 :args (_let_33 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 4)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_64)) :args ((or _let_31 _let_60))) _let_66 :args (_let_31 true _let_60)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 8)) _let_66 :args ((not _let_22) true _let_60)) _let_73 _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_79) (SCOPE (TRANS _let_80 (SYMM (SYMM _let_78))) :args (_let_39 _let_40))) :args (_let_40 _let_39))) :args (true _let_77)) :args ((or _let_58 _let_25 (not _let_39)))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_39 _let_75))) _let_74 :args (_let_39 false _let_42)) :args (_let_25 false _let_40 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.relation_dom A) (not (= (tptp.function BOUND_VARIABLE_1406) false))))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_23 false _let_33 false _let_31 true _let_22 false _let_29 false _let_27 false _let_25 false _let_35)) :args (_let_21 true _let_20)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_8))) :args _let_64)) :args ((or _let_8 _let_19))) _let_82 :args (_let_8 true _let_19)))) (let ((_let_84 (and _let_12 _let_13))) (let ((_let_85 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_38))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (_let_41))) (let ((_let_89 (and _let_40 _let_8))) (let ((_let_90 (ASSUME :args (_let_8)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_84 (not _let_87)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_79) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87)) (SYMM _let_80) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_90))) :args (_let_8 _let_40))) :args (_let_40 _let_8))) :args (true _let_89)) _let_76 _let_83 :args (_let_85 false _let_40 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in BOUND_VARIABLE_1172 _let_38) false))))) :args _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_41 _let_75))) _let_74 :args (_let_41 false _let_42)) :args (_let_87 false _let_41)) :args (_let_84 false _let_85 false _let_87)))) (let ((_let_92 (not _let_84))) (let ((_let_93 (not _let_15))) (let ((_let_94 (_let_56))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_16 _let_17 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (_let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_94))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 7)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_64)) :args ((or _let_56 _let_60))) _let_66 :args (_let_56 true _let_60)) :args (_let_18 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_14 (not _let_13) _let_93))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_82 :args ((not _let_14) true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 1)) :args ((or _let_13 _let_92))) _let_91 :args (_let_13 false _let_84)) :args (_let_93 true _let_14 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 0)) :args ((or _let_12 _let_92))) _let_91 :args (_let_12 false _let_84)) _let_83 :args (false false _let_18 true _let_15 false _let_12 false _let_8)) :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)))))) (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_6 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_5 _let_4 (tptp.relation_empty_yielding tptp.empty_set)) (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 $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$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 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) _let_2 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.97/26.25 )
% 25.97/26.25 % SZS output end Proof for SEU027+1
% 25.97/26.25 % cvc5---1.0.5 exiting
% 25.97/26.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------