TSTP Solution File: SEU244+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU244+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 16:30:21 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU244+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n017.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 23:25:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.rgbU2BiySD/cvc5---1.0.5_7513.p...
% 0.20/0.54 ------- get file name : TPTP file name is SEU244+1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7513.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SEU244+1
% 0.20/0.54 % SZS output start Proof for SEU244+1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.well_orders A (tptp.relation_field A)) (tptp.well_ordering A))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.well_founded_relation A) (tptp.is_well_founded_in A (tptp.relation_field A))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.reflexive A) (tptp.is_reflexive_in A (tptp.relation_field A))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.well_orders A B) (and (tptp.is_reflexive_in A B) (tptp.is_transitive_in A B) (tptp.is_antisymmetric_in A B) (tptp.is_connected_in A B) (tptp.is_well_founded_in A B)))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.well_ordering A) (and (tptp.reflexive A) (tptp.transitive A) (tptp.antisymmetric A) (tptp.connected A) (tptp.well_founded_relation A))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.transitive A) (tptp.is_transitive_in A (tptp.relation_field A))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.connected A) (tptp.is_connected_in A (tptp.relation_field A))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.antisymmetric A) (tptp.is_antisymmetric_in A (tptp.relation_field A))))))) (let ((_let_9 (tptp.transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.well_founded_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.antisymmetric SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.reflexive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (and _let_13 _let_9 _let_12 _let_11 _let_10))) (let ((_let_15 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.is_transitive_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_17 (= _let_9 _let_16))) (let ((_let_18 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.transitive A) (tptp.is_transitive_in A (tptp.relation_field A))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (tptp.well_ordering SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (tptp.well_orders SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (or _let_19 _let_25))) (let ((_let_27 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.well_orders A (tptp.relation_field A)) (tptp.well_ordering A)))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_30)) _let_29 :args (_let_28 true _let_27)))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_30)) :args ((or _let_18 _let_26))) _let_32 :args (_let_18 true _let_26)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 (not _let_20)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_21))) _let_22 :args (_let_20 false _let_21)) :args (_let_17 false _let_18 false _let_20)))) (let ((_let_35 (tptp.is_well_founded_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_36 (tptp.is_connected_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_37 (tptp.is_antisymmetric_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_38 (tptp.is_reflexive_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_39 (and _let_38 _let_16 _let_37 _let_36 _let_35))) (let ((_let_40 (= _let_24 _let_39))) (let ((_let_41 (or _let_19 _let_40))) (let ((_let_42 (forall ((A $$unsorted) (BOUND_VARIABLE_720 $$unsorted)) (or (not (tptp.relation A)) (= (tptp.well_orders A BOUND_VARIABLE_720) (and (tptp.is_reflexive_in A BOUND_VARIABLE_720) (tptp.is_transitive_in A BOUND_VARIABLE_720) (tptp.is_antisymmetric_in A BOUND_VARIABLE_720) (tptp.is_connected_in A BOUND_VARIABLE_720) (tptp.is_well_founded_in A BOUND_VARIABLE_720))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_19 _let_40 (not _let_41)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.well_orders A BOUND_VARIABLE_720)))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_40 false _let_18 false _let_41)))) (let ((_let_45 (= _let_23 _let_14))) (let ((_let_46 (= _let_13 _let_38))) (let ((_let_47 (= _let_11 _let_36))) (let ((_let_48 (= _let_10 _let_35))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 1)) _let_32 :args ((not _let_25) true _let_26)))) (let ((_let_50 (_let_25))) (let ((_let_51 (REORDERING (CNF_EQUIV_NEG1 :args _let_50) :args ((or _let_24 _let_23 _let_25))))) (let ((_let_52 (not _let_40))) (let ((_let_53 (not _let_39))) (let ((_let_54 (_let_40))) (let ((_let_55 (or _let_19 _let_45))) (let ((_let_56 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.well_ordering A) (and (tptp.reflexive A) (tptp.transitive A) (tptp.antisymmetric A) (tptp.connected A) (tptp.well_founded_relation A))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_19 _let_45 (not _let_55)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_45 false _let_18 false _let_55)))) (let ((_let_59 (not _let_45))) (let ((_let_60 (not _let_23))) (let ((_let_61 (_let_45))) (let ((_let_62 (REORDERING (CNF_EQUIV_POS1 :args _let_61) :args ((or _let_60 _let_14 _let_59))))) (let ((_let_63 (not _let_14))) (let ((_let_64 (or _let_19 _let_46))) (let ((_let_65 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.reflexive A) (tptp.is_reflexive_in A (tptp.relation_field A))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_19 _let_46 (not _let_64)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_46 false _let_18 false _let_64)))) (let ((_let_68 (not _let_46))) (let ((_let_69 (not _let_13))) (let ((_let_70 (_let_46))) (let ((_let_71 (not _let_17))) (let ((_let_72 (not _let_9))) (let ((_let_73 (_let_17))) (let ((_let_74 (or _let_19 _let_47))) (let ((_let_75 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.connected A) (tptp.is_connected_in A (tptp.relation_field A))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_19 _let_47 (not _let_74)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_47 false _let_18 false _let_74)))) (let ((_let_78 (not _let_47))) (let ((_let_79 (not _let_11))) (let ((_let_80 (_let_47))) (let ((_let_81 (or _let_19 _let_48))) (let ((_let_82 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.well_founded_relation A) (tptp.is_well_founded_in A (tptp.relation_field A))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_19 _let_48 (not _let_81)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_82))) _let_83 :args (_let_81 false _let_82)) :args (_let_48 false _let_18 false _let_81)))) (let ((_let_85 (not _let_48))) (let ((_let_86 (not _let_10))) (let ((_let_87 (_let_48))) (let ((_let_88 (= _let_12 _let_37))) (let ((_let_89 (or _let_19 _let_88))) (let ((_let_90 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.antisymmetric A) (tptp.is_antisymmetric_in A (tptp.relation_field A))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_19 _let_88 (not _let_89)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_88 false _let_18 false _let_89)))) (let ((_let_93 (not _let_88))) (let ((_let_94 (not _let_37))) (let ((_let_95 (_let_88))) (let ((_let_96 (REORDERING (CNF_EQUIV_POS1 :args _let_54) :args ((or (not _let_24) _let_39 _let_52))))) (let ((_let_97 (MACRO_RESOLUTION_TRUST _let_51 _let_49 _let_96 _let_44 _let_62 _let_58 (REORDERING (CNF_AND_POS :args (_let_39 2)) :args ((or _let_37 _let_53))) (REORDERING (CNF_AND_POS :args (_let_14 2)) :args ((or _let_12 _let_63))) (REORDERING (CNF_EQUIV_POS2 :args _let_95) :args ((or _let_12 _let_94 _let_93))) _let_92 :args (_let_12 true _let_25 true _let_24 false _let_40 true _let_23 false _let_45 true _let_39 true _let_14 true _let_37 false _let_88)))) (let ((_let_98 (not _let_12))) (let ((_let_99 (not _let_35))) (let ((_let_100 (not _let_38))) (let ((_let_101 (not _let_16))) (let ((_let_102 (not _let_36))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_39)) :args ((or _let_39 _let_94 _let_102 _let_101 _let_100 _let_99))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_95) :args ((or _let_37 _let_98 _let_93))) _let_97 _let_92 :args (_let_37 false _let_12 false _let_88)) (REORDERING (CNF_EQUIV_POS1 :args _let_87) :args ((or _let_35 _let_86 _let_85))) _let_84 (REORDERING (CNF_EQUIV_POS1 :args _let_80) :args ((or _let_36 _let_79 _let_78))) _let_77 (REORDERING (CNF_EQUIV_POS1 :args _let_73) :args ((or _let_16 _let_72 _let_71))) _let_34 (REORDERING (CNF_EQUIV_POS1 :args _let_70) :args ((or _let_38 _let_69 _let_68))) _let_67 (REORDERING (CNF_AND_POS :args (_let_14 4)) :args ((or _let_10 _let_63))) (REORDERING (CNF_AND_POS :args (_let_14 3)) :args ((or _let_11 _let_63))) (REORDERING (CNF_AND_POS :args (_let_14 1)) :args ((or _let_9 _let_63))) (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_13 _let_63))) _let_62 _let_58 (REORDERING (CNF_EQUIV_POS2 :args _let_54) :args ((or _let_24 _let_53 _let_52))) _let_44 _let_51 _let_49 :args (_let_24 false _let_37 false _let_35 false _let_48 false _let_36 false _let_47 false _let_16 false _let_17 false _let_38 false _let_46 false _let_10 false _let_11 false _let_9 false _let_13 false _let_14 false _let_45 true _let_39 false _let_40 false _let_23 true _let_25)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST _let_96 _let_103 _let_44 :args (_let_39 false _let_24 false _let_40)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_14)) :args ((or _let_14 _let_98 _let_79 _let_72 _let_69 _let_86))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_80) :args ((or _let_11 _let_102 _let_78))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 3)) :args ((or _let_36 _let_53))) _let_104 :args (_let_36 false _let_39)) _let_77 :args (_let_11 false _let_36 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_70) :args ((or _let_13 _let_100 _let_68))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_38 _let_53))) _let_104 :args (_let_38 false _let_39)) _let_67 :args (_let_13 false _let_38 false _let_46)) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_61) :args ((or _let_23 _let_63 _let_59))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_50) _let_49 _let_103 :args (_let_60 true _let_25 false _let_24)) _let_58 :args (_let_63 true _let_23 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_87) :args ((or _let_10 _let_99 _let_85))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 4)) :args ((or _let_35 _let_53))) _let_104 :args (_let_35 false _let_39)) _let_84 :args (_let_10 false _let_35 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_73) :args ((or _let_9 _let_101 _let_71))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_16 _let_53))) _let_104 :args (_let_16 false _let_39)) _let_34 :args (_let_9 false _let_16 false _let_17)) :args (false false _let_11 false _let_13 false _let_12 true _let_14 false _let_10 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))) _let_3 true true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SEU244+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------