TSTP Solution File: SEU215+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU215+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 16:30:05 EDT 2023
% Result : Theorem 16.77s 17.03s
% Output : Proof 16.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU215+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 15:58:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 16.77/17.03 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.e0RnpUgoOB/cvc5---1.0.5_23428.p...
% 16.77/17.03 ------- get file name : TPTP file name is SEU215+3
% 16.77/17.03 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23428.smt2...
% 16.77/17.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 16.77/17.03 --- Run --no-e-matching --full-saturate-quant at 5...
% 16.77/17.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 16.77/17.03 % SZS status Theorem for SEU215+3
% 16.77/17.03 % SZS output start Proof for SEU215+3
% 16.77/17.03 (
% 16.77/17.03 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_2 (not (forall ((A $$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_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.relation_composition C B))) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in A (tptp.relation_dom _let_1)) (= (tptp.apply _let_1 A) (tptp.apply B (tptp.apply C A))))))))))) (let ((_let_4 (forall ((A $$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 (tptp.relation_composition C B))) (and (tptp.in A (tptp.relation_dom C)) (tptp.in (tptp.apply C A) (tptp.relation_dom B)))))))))) (let ((_let_5 (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))))) (let ((_let_6 (tptp.relation tptp.empty_set))) (let ((_let_7 (tptp.empty tptp.empty_set))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.relation A) (tptp.function A) (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.apply A B)))) (let ((_let_2 (tptp.in B (tptp.relation_dom A)))) (and (=> _let_2 (= _let_1 (tptp.in (tptp.ordered_pair B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.empty_set))))))))))) (let ((_let_11 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_12 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_11))) (let ((_let_13 (= tptp.empty_set _let_12))) (let ((_let_14 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_15 (tptp.in _let_11 _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (tptp.ordered_pair tptp.empty_set tptp.empty_set))) (let ((_let_18 (and (or (not (tptp.in tptp.empty_set _let_14)) (= (= tptp.empty_set (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.empty_set)) (tptp.in _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) _let_16))) (let ((_let_19 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_1033 $$unsorted) (BOUND_VARIABLE_1031 $$unsorted) (BOUND_VARIABLE_1021 $$unsorted) (BOUND_VARIABLE_1019 $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (or (not (tptp.in BOUND_VARIABLE_1019 _let_1)) (= (= BOUND_VARIABLE_1021 (tptp.apply A BOUND_VARIABLE_1019)) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_1019 BOUND_VARIABLE_1021) A))) (or (tptp.in BOUND_VARIABLE_1031 _let_1) (= (= BOUND_VARIABLE_1033 (tptp.apply A BOUND_VARIABLE_1031)) (= tptp.empty_set BOUND_VARIABLE_1033))))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_28 (tptp.apply _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_29 (= _let_28 _let_12))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31 _let_22 _let_20 _let_29))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1254 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.in A (tptp.relation_dom B))) (not (tptp.relation BOUND_VARIABLE_1254)) (not (tptp.function BOUND_VARIABLE_1254)) (= (tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1254) A) (tptp.apply BOUND_VARIABLE_1254 (tptp.apply B A))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)))) (let ((_let_43 (REFL :args (_let_36)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 4)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_40)) :args ((or _let_19 _let_36))) _let_42 :args (_let_19 true _let_36)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 3)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_40)) :args ((or _let_21 _let_36))) _let_42 :args (_let_21 true _let_36)))) (let ((_let_46 (and _let_30 _let_15))) (let ((_let_47 (not _let_15))) (let ((_let_48 (tptp.relation_dom _let_27))) (let ((_let_49 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_48))) (let ((_let_50 (= _let_49 _let_46))) (let ((_let_51 (not _let_46))) (let ((_let_52 (or _let_22 _let_20 _let_35 _let_33 _let_50))) (let ((_let_53 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1176)) (not (tptp.function BOUND_VARIABLE_1176)) (= (tptp.in A (tptp.relation_dom (tptp.relation_composition BOUND_VARIABLE_1176 B))) (and (tptp.in A (tptp.relation_dom BOUND_VARIABLE_1176)) (tptp.in (tptp.apply BOUND_VARIABLE_1176 A) (tptp.relation_dom B)))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_40)) :args ((or _let_32 _let_36))) _let_42 :args (_let_32 true _let_36)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_40)) :args ((or _let_34 _let_36))) _let_42 :args (_let_34 true _let_36)))) (let ((_let_57 (not _let_49))) (let ((_let_58 (or _let_22 _let_20 _let_35 _let_33 _let_57 _let_29))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1214 $$unsorted)) (let ((_let_1 (tptp.relation_composition BOUND_VARIABLE_1214 B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1214)) (not (tptp.function BOUND_VARIABLE_1214)) (not (tptp.in A (tptp.relation_dom _let_1))) (= (tptp.apply _let_1 A) (tptp.apply B (tptp.apply BOUND_VARIABLE_1214 A)))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (not _let_29))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 5)) _let_42 :args (_let_61 true _let_36)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_35 _let_33 _let_22 _let_20 _let_29 _let_57 (not _let_58)))) _let_56 _let_55 _let_45 _let_44 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_57 false _let_34 false _let_32 false _let_21 false _let_19 true _let_29 false _let_58)))) (let ((_let_64 (= tptp.empty_set _let_28))) (let ((_let_65 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_66 (not _let_13))) (let ((_let_67 (or _let_49 _let_64))) (let ((_let_68 (and (or (not (tptp.in tptp.empty_set _let_48)) (= (= tptp.empty_set (tptp.apply _let_27 tptp.empty_set)) (tptp.in _let_17 _let_27))) _let_67))) (let ((_let_69 (tptp.function _let_27))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.relation _let_27))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70 _let_68))) (let ((_let_74 (or _let_35 _let_22 _let_71))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (and _let_71 _let_69))) (let ((_let_78 (or _let_35 _let_33 _let_22 _let_20 _let_77))) (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_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_65))) (let ((_let_84 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (= tptp.empty_set A))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (or _let_82 (not (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_87 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (not (tptp.relation A)))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (not _let_87))) (let ((_let_91 (ASSUME :args (_let_65)))) (let ((_let_92 (SYMM (SYMM _let_91)))) (let ((_let_93 (ASSUME :args (_let_13)))) (let ((_let_94 (ASSUME :args (_let_64)))) (let ((_let_95 (ASSUME :args (_let_61)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_91 _let_94 _let_93 _let_95) :args (_let_61 _let_65 _let_13 _let_64)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_95)) (TRUE_INTRO (TRANS (SYMM _let_94) _let_92 (SYMM (TRANS (SYMM _let_93) _let_92)))))) :args (_let_65 _let_64 _let_13 _let_61)) :args ((not (and _let_61 _let_65 _let_13 _let_64)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_29))) (REFL :args ((not _let_65))) (REFL :args (_let_66)) (REFL :args ((not _let_64))) :args _let_40)) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_65 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 0)) (CONG (REFL :args (_let_86)) (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) :args _let_40)) :args ((or _let_81 _let_86))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_89) :args (_let_90))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_87))) (REFL :args (_let_88)) :args _let_40)) _let_89 :args (_let_88 true _let_87)) :args (_let_81 true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_65 false _let_81 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_49 _let_64 (not _let_67)))) _let_63 (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_73)) :args ((or _let_70 _let_72 _let_68 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_69 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_35 _let_33 _let_22 _let_20 _let_77 (not _let_78)))) _let_56 _let_55 _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_79))) _let_80 :args (_let_78 false _let_79)) :args (_let_77 false _let_34 false _let_32 false _let_21 false _let_19 false _let_78)) :args (_let_69 false _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_35 _let_22 _let_71 (not _let_74)))) _let_56 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_71 false _let_34 false _let_21 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_27 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_26))) _let_25 :args (_let_73 false _let_24)) :args (_let_68 false _let_69 false _let_71 false _let_73)) :args (_let_67 false _let_68)) :args (_let_64 true _let_49 false _let_67)) :args (_let_66 true _let_29 false _let_65 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_46)) :args ((or _let_31 _let_47 _let_46))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_40)) :args ((or _let_30 _let_36))) _let_42 :args (_let_30 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_50)) :args ((or _let_49 _let_51 (not _let_50)))) _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_35 _let_33 _let_22 _let_20 _let_50 (not _let_52)))) _let_56 _let_55 _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_ENUM)) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_50 false _let_34 false _let_32 false _let_21 false _let_19 false _let_52)) :args (_let_51 true _let_49 false _let_50)) :args (_let_47 false _let_30 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 _let_18 (not _let_23)))) _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_12 _let_11 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_26))) _let_25 :args (_let_23 false _let_24)) :args (_let_18 false _let_21 false _let_19 false _let_23)) :args (_let_16 false _let_18)) :args (false true _let_13 true _let_15 false _let_16)) :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 $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) _let_9 (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_7 _let_6 (tptp.relation_empty_yielding tptp.empty_set)) _let_8 (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) (and _let_7 _let_6) (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))))) (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 $$unsorted)) (and (tptp.relation A) (tptp.function A))) _let_5 (forall ((A $$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 $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_4 _let_3 _let_2 (forall ((A $$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 $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 16.77/17.04 )
% 16.77/17.04 % SZS output end Proof for SEU215+3
% 16.77/17.04 % cvc5---1.0.5 exiting
% 16.77/17.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------