TSTP Solution File: SEU048+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU048+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 16:29:08 EDT 2023
% Result : Theorem 24.82s 25.09s
% Output : Proof 24.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU048+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 15:34:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 24.82/25.09 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1o0GawTi9Z/cvc5---1.0.5_12015.p...
% 24.82/25.09 ------- get file name : TPTP file name is SEU048+1
% 24.82/25.09 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12015.smt2...
% 24.82/25.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 24.82/25.09 --- Run --no-e-matching --full-saturate-quant at 5...
% 24.82/25.09 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 24.82/25.09 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 24.82/25.09 % SZS status Theorem for SEU048+1
% 24.82/25.09 % SZS output start Proof for SEU048+1
% 24.82/25.09 (
% 24.82/25.09 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (tptp.one_to_one B) (tptp.one_to_one (tptp.relation_rng_restriction A B)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (= B (tptp.relation_rng_restriction A C)) (and (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_dom B)) (and (tptp.in D (tptp.relation_dom C)) (tptp.in (tptp.apply C D) A)))) (forall ((D $$unsorted)) (=> (tptp.in D (tptp.relation_dom B)) (= (tptp.apply B D) (tptp.apply C D)))))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (=> (and (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (= (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_7 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_8 (tptp.apply _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81))) (let ((_let_9 (tptp.apply _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80))) (let ((_let_12 (= _let_9 _let_11))) (let ((_let_13 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81))) (let ((_let_14 (= _let_8 _let_13))) (let ((_let_15 (= _let_11 _let_13))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81))) (let ((_let_17 (not _let_10))) (let ((_let_18 (tptp.relation_dom _let_7))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 _let_18))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 _let_18))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_17 _let_16))) (let ((_let_24 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (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_25 (not _let_23))) (let ((_let_26 (tptp.one_to_one _let_7))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (not _let_24))) (let ((_let_29 (tptp.function _let_7))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.relation _let_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_27))) (let ((_let_34 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (tptp.one_to_one A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply A B) (tptp.apply A C))) (= B C))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 (and _let_31 _let_29))) (let ((_let_38 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_37))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (or (not (tptp.relation B)) (not (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_41 _let_39 _let_46 _let_26))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.one_to_one B)) (tptp.one_to_one (tptp.relation_rng_restriction A B)))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (not _let_48))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_50) :args (_let_52))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_48))) (REFL :args (_let_49)) :args _let_51)) _let_50 :args (_let_49 true _let_48)))) (let ((_let_54 (REFL :args (_let_47)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 1)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_51)) :args ((or _let_38 _let_47))) _let_53 :args (_let_38 true _let_47)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_51)) :args ((or _let_40 _let_47))) _let_53 :args (_let_40 true _let_47)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_39 _let_37 (not _let_42)))) _let_56 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_37 false _let_40 false _let_38 false _let_42)))) (let ((_let_58 (not _let_37))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_29 _let_58))) _let_57 :args (_let_29 false _let_37)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_31 _let_58))) _let_57 :args (_let_31 false _let_37)))) (let ((_let_61 (_let_28))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_27)) :args ((or _let_26 _let_28 (not _let_27)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 3)) _let_53 :args ((not _let_26) true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_27 (not _let_33)))) _let_60 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_7 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_27 false _let_31 false _let_29 false _let_33)) :args (_let_28 true _let_26 false _let_27)) :args (_let_25 true _let_24)))) (let ((_let_63 (REFL :args (_let_23)))) (let ((_let_64 (or _let_22 _let_12))) (let ((_let_65 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply _let_1 D) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D))))))) (let ((_let_66 (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_dom (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (and (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.in (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))))) (let ((_let_67 (and _let_66 _let_65))) (let ((_let_68 (or _let_32 _let_30 _let_41 _let_39 _let_67))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1102 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1102)) (not (tptp.function BOUND_VARIABLE_1102)) (= (= B (tptp.relation_rng_restriction A BOUND_VARIABLE_1102)) (and (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_dom B)) (and (tptp.in D (tptp.relation_dom BOUND_VARIABLE_1102)) (tptp.in (tptp.apply BOUND_VARIABLE_1102 D) A)))) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1102 D)))))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_41 _let_39 _let_32 _let_30 _let_67 (not _let_68)))) _let_56 _let_55 _let_60 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_69)))) _let_70 :args (_let_68 false _let_69)) :args (_let_67 false _let_40 false _let_38 false _let_31 false _let_29 false _let_68)))) (let ((_let_72 (not _let_67))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 1)) :args ((or _let_65 _let_72))) _let_71 :args (_let_65 false _let_67)))) (let ((_let_74 (_let_65))) (let ((_let_75 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_76 (ASSUME :args _let_74))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_51)) :args ((or _let_21 _let_23))) _let_62 :args (_let_21 true _let_23)))) (let ((_let_78 (or _let_20 _let_14))) (let ((_let_79 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_51)) :args ((or _let_19 _let_23))) _let_62 :args (_let_19 true _let_23)))) (let ((_let_81 (not _let_15))) (let ((_let_82 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_83 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 _let_82))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 _let_82))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84 _let_81 _let_16))) (let ((_let_88 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 B) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 C))) (= B C)))))) (let ((_let_89 (= _let_45 _let_88))) (let ((_let_90 (or _let_41 _let_39 _let_89))) (let ((_let_91 (_let_88))) (let ((_let_92 (and _let_85 (tptp.in _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_93 (= _let_19 _let_92))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 0)) :args ((or _let_66 _let_72))) _let_71 :args (_let_66 false _let_67)))) (let ((_let_95 (_let_66))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (and _let_83 (tptp.in _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_98 (= _let_21 _let_97))) (let ((_let_99 (ASSUME :args (_let_81)))) (let ((_let_100 (ASSUME :args (_let_14)))) (let ((_let_101 (ASSUME :args (_let_10)))) (let ((_let_102 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_99 _let_102 _let_100 _let_101) :args (_let_10 _let_12 _let_14 _let_81)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM _let_102) (SYMM (SYMM _let_101)) (SYMM (SYMM _let_100))))) (FALSE_INTRO _let_99))) :args (_let_81 _let_12 _let_14 _let_10)) :args ((not (and _let_10 _let_12 _let_14 _let_81)) SB_LITERAL))) (CONG (REFL :args (_let_17)) (REFL :args ((not _let_12))) (REFL :args ((not _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_15))) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_16 _let_84 _let_86 _let_81 (not _let_87)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 3)) _let_62 :args ((not _let_16) true _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_83 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or _let_22 _let_97 (not _let_98)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_75) :args _let_95)) _let_94 :args (_let_98 false _let_66)) :args (_let_97 false _let_21 false _let_98)) :args (_let_83 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_92 0)) :args ((or _let_85 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or _let_20 _let_92 (not _let_93)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_79) :args _let_95)) _let_94 :args (_let_93 false _let_66)) :args (_let_92 false _let_19 false _let_93)) :args (_let_85 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_91))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or _let_46 _let_88 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 2)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_51)) :args ((or _let_45 _let_47))) _let_53 :args (_let_45 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_41 _let_39 _let_89 (not _let_90)))) _let_56 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_36)) _let_35 :args (_let_90 false _let_34)) :args (_let_89 false _let_40 false _let_38 false _let_90)) :args (_let_88 false _let_45 false _let_89)) :args (_let_87 false _let_88)) :args (_let_81 true _let_16 false _let_83 false _let_85 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_20 _let_14 (not _let_78)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_79) :args _let_74)) _let_73 :args (_let_78 false _let_65)) :args (_let_14 false _let_19 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_22 _let_12 (not _let_64)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_75) :args _let_74)) _let_73 :args (_let_64 false _let_65)) :args (_let_12 false _let_21 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_10))) :args _let_51)) :args ((or _let_10 _let_23))) _let_62 :args (_let_10 true _let_23)) :args (false true _let_15 false _let_14 false _let_12 false _let_10)) :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 $$unsorted)) (=> (tptp.relation B) (tptp.relation (tptp.relation_rng_restriction A B)))) (forall ((A $$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) _let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom 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 $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$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 $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 24.82/25.09 )
% 24.82/25.09 % SZS output end Proof for SEU048+1
% 24.82/25.09 % cvc5---1.0.5 exiting
% 24.82/25.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------