TSTP Solution File: SEU215+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 16:30:04 EDT 2023
% Result : Theorem 16.82s 17.05s
% Output : Proof 16.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n023.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 : Wed Aug 23 22:35:12 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 16.82/17.05 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.b3XRzLyuLh/cvc5---1.0.5_20864.p...
% 16.82/17.05 ------- get file name : TPTP file name is SEU215+1
% 16.82/17.05 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20864.smt2...
% 16.82/17.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 16.82/17.05 --- Run --no-e-matching --full-saturate-quant at 5...
% 16.82/17.05 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 16.82/17.05 % SZS status Theorem for SEU215+1
% 16.82/17.05 % SZS output start Proof for SEU215+1
% 16.82/17.05 (
% 16.82/17.05 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in A (tptp.relation_dom B)) (= (tptp.apply (tptp.relation_composition B C) A) (tptp.apply C (tptp.apply B A))))))))))) (let ((_let_2 (forall ((A $$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_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (tptp.in A (tptp.relation_dom (tptp.relation_composition C B))) (and (tptp.in A (tptp.relation_dom C)) (tptp.in (tptp.apply C A) (tptp.relation_dom B)))))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.relation A) (tptp.function A) (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))))) (let ((_let_8 (forall ((A $$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_9 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9))) (let ((_let_11 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_12 (tptp.apply _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (= tptp.empty_set _let_12))) (let ((_let_15 (= tptp.empty_set _let_10))) (let ((_let_16 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21 _let_19 _let_17 _let_13))) (let ((_let_27 (not _let_13))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1162 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.in A (tptp.relation_dom B))) (not (tptp.relation BOUND_VARIABLE_1162)) (not (tptp.function BOUND_VARIABLE_1162)) (= (tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1162) A) (tptp.apply BOUND_VARIABLE_1162 (tptp.apply B A))))))) (let ((_let_29 (not _let_26))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 5)) _let_33 :args (_let_27 true _let_26)))) (let ((_let_35 (tptp.relation_dom _let_11))) (let ((_let_36 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_35))) (let ((_let_37 (or _let_36 _let_14))) (let ((_let_38 (tptp.ordered_pair tptp.empty_set tptp.empty_set))) (let ((_let_39 (and (or (not (tptp.in tptp.empty_set _let_35)) (= (= tptp.empty_set (tptp.apply _let_11 tptp.empty_set)) (tptp.in _let_38 _let_11))) _let_37))) (let ((_let_40 (tptp.function _let_11))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.relation _let_11))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_39))) (let ((_let_45 (forall ((A $$unsorted) (BOUND_VARIABLE_966 $$unsorted) (BOUND_VARIABLE_964 $$unsorted) (BOUND_VARIABLE_954 $$unsorted) (BOUND_VARIABLE_952 $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (or (not (tptp.in BOUND_VARIABLE_952 _let_1)) (= (= BOUND_VARIABLE_954 (tptp.apply A BOUND_VARIABLE_952)) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_952 BOUND_VARIABLE_954) A))) (or (tptp.in BOUND_VARIABLE_964 _let_1) (= (= BOUND_VARIABLE_966 (tptp.apply A BOUND_VARIABLE_964)) (= tptp.empty_set BOUND_VARIABLE_966))))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (or _let_25 _let_19 _let_42))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (REFL :args (_let_26)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 3)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_31)) :args ((or _let_18 _let_26))) _let_33 :args (_let_18 true _let_26)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_31)) :args ((or _let_24 _let_26))) _let_33 :args (_let_24 true _let_26)))) (let ((_let_54 (and _let_42 _let_40))) (let ((_let_55 (or _let_25 _let_23 _let_19 _let_17 _let_54))) (let ((_let_56 (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_57 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 4)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_31)) :args ((or _let_16 _let_26))) _let_33 :args (_let_16 true _let_26)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_31)) :args ((or _let_22 _let_26))) _let_33 :args (_let_22 true _let_26)))) (let ((_let_60 (not _let_36))) (let ((_let_61 (or _let_19 _let_17 _let_25 _let_23 _let_60 _let_13))) (let ((_let_62 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1122 $$unsorted)) (let ((_let_1 (tptp.relation_composition BOUND_VARIABLE_1122 B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1122)) (not (tptp.function BOUND_VARIABLE_1122)) (not (tptp.in A (tptp.relation_dom _let_1))) (= (tptp.apply _let_1 A) (tptp.apply B (tptp.apply BOUND_VARIABLE_1122 A)))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_25 _let_23 _let_19 _let_17 _let_13 _let_60 (not _let_61)))) _let_53 _let_59 _let_52 _let_58 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_60 false _let_24 false _let_22 false _let_18 false _let_16 true _let_13 false _let_61)))) (let ((_let_65 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_66 (tptp.in _let_9 _let_65))) (let ((_let_67 (or _let_66 _let_15))) (let ((_let_68 (and (or (not (tptp.in tptp.empty_set _let_65)) (= (= tptp.empty_set (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.empty_set)) (tptp.in _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) _let_67))) (let ((_let_69 (or _let_19 _let_17 _let_68))) (let ((_let_70 (and _let_20 _let_66))) (let ((_let_71 (not _let_66))) (let ((_let_72 (= _let_36 _let_70))) (let ((_let_73 (not _let_70))) (let ((_let_74 (or _let_19 _let_17 _let_25 _let_23 _let_72))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1084 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1084)) (not (tptp.function BOUND_VARIABLE_1084)) (= (tptp.in A (tptp.relation_dom (tptp.relation_composition BOUND_VARIABLE_1084 B))) (and (tptp.in A (tptp.relation_dom BOUND_VARIABLE_1084)) (tptp.in (tptp.apply BOUND_VARIABLE_1084 A) (tptp.relation_dom B)))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (not _let_14))) (let ((_let_78 (not _let_15))) (let ((_let_79 (and _let_27 _let_14))) (let ((_let_80 (_let_27 _let_14))) (let ((_let_81 (ASSUME :args (_let_27)))) (let ((_let_82 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_81 _let_82) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_82)) (REFL :args (_let_10)) :args (=)) (FALSE_INTRO _let_81))) :args _let_80)) :args _let_80)) :args (true _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_13))) (REFL :args (_let_77)) (REFL :args (_let_78)) :args _let_31)) :args ((or _let_13 _let_78 _let_77))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_15 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_70)) :args ((or _let_21 _let_71 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 2)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_31)) :args ((or _let_20 _let_26))) _let_33 :args (_let_20 true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_72)) :args ((or _let_36 _let_73 (not _let_72)))) _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_25 _let_23 _let_19 _let_17 _let_72 (not _let_74)))) _let_53 _let_59 _let_52 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_ENUM)) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_72 false _let_24 false _let_22 false _let_18 false _let_16 false _let_74)) :args (_let_73 true _let_36 false _let_72)) :args (_let_71 false _let_20 true _let_70)) (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_69)) :args ((or _let_19 _let_17 _let_68 (not _let_69)))) _let_52 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_10 _let_9 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_47))) _let_46 :args (_let_69 false _let_45)) :args (_let_68 false _let_18 false _let_16 false _let_69)) :args (_let_67 false _let_68)) :args (_let_15 true _let_66 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_14 _let_36 (not _let_37)))) _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_37 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_41 _let_43 _let_39 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 1)) :args ((or _let_40 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_25 _let_23 _let_19 _let_17 _let_54 (not _let_55)))) _let_53 _let_59 _let_52 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_54 false _let_24 false _let_22 false _let_18 false _let_16 false _let_55)) :args (_let_40 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_25 _let_19 _let_42 (not _let_48)))) _let_53 _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_42 false _let_24 false _let_18 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_11 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_47))) _let_46 :args (_let_44 false _let_45)) :args (_let_39 false _let_40 false _let_42 false _let_44)) :args (_let_37 false _let_39)) :args (_let_14 true _let_36 false _let_37)) _let_34 :args (false false _let_15 false _let_14 true _let_13)) :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_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) true true true true true true _let_7 true (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)) _let_6 _let_5 (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 $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) (and _let_5 _let_4) (forall ((A $$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))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_3 _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 16.82/17.06 )
% 16.82/17.06 % SZS output end Proof for SEU215+1
% 16.82/17.06 % cvc5---1.0.5 exiting
% 16.82/17.06 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------