TSTP Solution File: SEU359+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 16:31:09 EDT 2023
% Result : Theorem 0.23s 0.60s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 23 15:51:29 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9k9jksOd8p/cvc5---1.0.5_9883.p...
% 0.23/0.60 ------- get file name : TPTP file name is SEU359+1
% 0.23/0.60 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9883.smt2...
% 0.23/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.60 % SZS status Theorem for SEU359+1
% 0.23/0.60 % SZS output start Proof for SEU359+1
% 0.23/0.60 (
% 0.23/0.60 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (tptp.antisymmetric_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (let ((_let_1 (and (= B (tptp.join_on_relstr A C)) (tptp.ex_sup_of_relstr_set A C)))) (let ((_let_2 (tptp.relstr_set_smaller A C B))) (and (=> _let_1 (and _let_2 (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_set_smaller A C D) (tptp.related A B D)))))) (=> (and _let_2 (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_set_smaller A C D) (tptp.related A B D))))) _let_1)))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (tptp.antisymmetric_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (= (tptp.ex_sup_of_relstr_set A B) (exists ((C $$unsorted)) (and (tptp.element C (tptp.the_carrier A)) (tptp.relstr_set_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_set_smaller A B D) (tptp.related A C D)))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (=> (tptp.ex_sup_of_relstr_set A B) (= (= C (tptp.join_on_relstr A B)) (and (tptp.relstr_set_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_set_smaller A B D) (tptp.related A C D))))))))))))) (let ((_let_4 (tptp.join_on_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_4))) (let ((_let_6 (= _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_7 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_9 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_11))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_10 _let_7))) (let ((_let_15 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (tptp.ex_sup_of_relstr_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (not _let_17))) (let ((_let_19 (not _let_5))) (let ((_let_20 (or _let_19 _let_18 _let_16))) (let ((_let_21 (tptp.ex_sup_of_relstr_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (tptp.join_on_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_23 (and _let_22 _let_21))) (let ((_let_24 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23))) (let ((_let_29 (and _let_20 _let_28))) (let ((_let_30 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D))))) (let ((_let_31 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D))))) (let ((_let_32 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_11))) (let ((_let_33 (not _let_30))) (let ((_let_34 (not _let_32))) (let ((_let_35 (or _let_34 _let_27 _let_33))) (let ((_let_36 (and _let_26 _let_31))) (let ((_let_37 (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C D)))))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (= _let_21 _let_38))) (let ((_let_40 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_41 (= _let_22 _let_36))) (let ((_let_42 (not _let_21))) (let ((_let_43 (not _let_40))) (let ((_let_44 (or _let_43 _let_34 _let_42 _let_41))) (let ((_let_45 (or))) (let ((_let_46 (REFL :args (_let_28)))) (let ((_let_47 (tptp.antisymmetric_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_43 _let_34 _let_29))) (let ((_let_50 (forall ((A $$unsorted) (BOUND_VARIABLE_953 $$unsorted) (BOUND_VARIABLE_951 $$unsorted) (BOUND_VARIABLE_949 $$unsorted) (BOUND_VARIABLE_947 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.antisymmetric_relstr A)) (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_947 _let_1)) (and (or (not (= BOUND_VARIABLE_947 (tptp.join_on_relstr A BOUND_VARIABLE_953))) (not (tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_953)) (and (tptp.relstr_set_smaller A BOUND_VARIABLE_953 BOUND_VARIABLE_947) (or (not (tptp.element BOUND_VARIABLE_951 _let_1)) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_953 BOUND_VARIABLE_951)) (tptp.related A BOUND_VARIABLE_947 BOUND_VARIABLE_951)))) (or (not (tptp.relstr_set_smaller A BOUND_VARIABLE_949 BOUND_VARIABLE_947)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_949 D)) (tptp.related A BOUND_VARIABLE_947 D)))) (and (= BOUND_VARIABLE_947 (tptp.join_on_relstr A BOUND_VARIABLE_949)) (tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_949))))))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (not _let_50))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_52) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_50))) (REFL :args (_let_51)) :args _let_45)) _let_52 :args (_let_51 true _let_50)))) (let ((_let_55 (REFL :args (_let_49)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 2)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_32))) :args _let_45)) :args ((or _let_32 _let_49))) _let_54 :args (_let_32 true _let_49)))) (let ((_let_57 (_let_37))) (let ((_let_58 (or _let_48 _let_43 _let_39))) (let ((_let_59 (forall ((A $$unsorted) (BOUND_VARIABLE_806 $$unsorted)) (or (not (tptp.antisymmetric_relstr A)) (not (tptp.rel_str A)) (= (tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_806) (not (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier A))) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_806 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_806 D)) (tptp.related A C D)))))))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_806)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_40))) :args _let_45)) :args ((or _let_40 _let_49))) _let_54 :args (_let_40 true _let_49)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_45)) :args ((or _let_47 _let_49))) _let_54 :args (_let_47 true _let_49)))) (let ((_let_65 (not _let_39))) (let ((_let_66 (forall ((A $$unsorted) (BOUND_VARIABLE_736 $$unsorted) (BOUND_VARIABLE_734 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_736 (tptp.the_carrier A))) (not (tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_734)) (= (= BOUND_VARIABLE_736 (tptp.join_on_relstr A BOUND_VARIABLE_734)) (and (tptp.relstr_set_smaller A BOUND_VARIABLE_734 BOUND_VARIABLE_736) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_734 D)) (tptp.related A BOUND_VARIABLE_736 D))))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((tptp.relstr_set_smaller A BOUND_VARIABLE_734 BOUND_VARIABLE_736)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 3)) _let_54 :args ((not _let_29) true _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_41)) :args ((or _let_22 (not _let_36) (not _let_41)))) (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_34 _let_42 _let_41 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_44 false _let_66)) _let_56 _let_63 (CNF_AND_NEG :args (_let_23)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_39)) (CONG (REFL :args (_let_65)) (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_45)) :args ((or _let_21 _let_37 _let_65))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_48 _let_43 _let_39 (not _let_58)))) _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_39 false _let_47 false _let_40 false _let_58)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element C _let_11) false))))) :args _let_57)) (REORDERING (CNF_AND_NEG :args (_let_36)) :args ((or _let_27 _let_36 (not _let_31)))) (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_27 _let_33 (not _let_35)))) _let_56 (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_24 (= D D)))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_24 (= D D)))) (CNF_OR_NEG :args (_let_28 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_45)) :args ((or _let_24 _let_28))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_45)) :args ((or _let_26 _let_28))) :args (_let_28 false _let_41 false _let_44 false _let_32 false _let_40 true _let_22 false _let_21 false _let_39 true _let_37 false _let_36 true _let_35 false _let_32 false _let_31 false _let_30 true _let_23 false _let_24 false _let_26)) :args ((not _let_20) true _let_29 false _let_28)))) (let ((_let_71 (REFL :args (_let_20)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_5))) :args _let_45)) :args ((or _let_5 _let_20))) _let_70 :args (_let_5 true _let_20)))) (let ((_let_73 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 D))))) (let ((_let_74 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_75 (and _let_74 _let_73))) (let ((_let_76 (= _let_75 _let_6))) (let ((_let_77 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_11))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_43 _let_78 _let_18 _let_76))) (let ((_let_80 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 D))))) (let ((_let_81 (not _let_80))) (let ((_let_82 (not _let_74))) (let ((_let_83 (or _let_78 _let_82 _let_81))) (let ((_let_84 (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 C)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C D)))))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (not _let_84))) (let ((_let_87 (= _let_17 _let_86))) (let ((_let_88 (or _let_48 _let_43 _let_87))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_45)) :args ((or _let_17 _let_20))) _let_70 :args (_let_17 true _let_20)))) (let ((_let_90 (_let_86))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_84))) (REFL :args (_let_85)) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or _let_18 _let_86 (not _let_87)))) _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_48 _let_43 _let_87 (not _let_88)))) _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_88 false _let_59)) :args (_let_87 false _let_47 false _let_40 false _let_88)) :args (_let_86 false _let_17 false _let_87)) :args (_let_85 true _let_84)))) (let ((_let_92 (REFL :args (_let_83)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 2)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_45)) :args ((or _let_80 _let_83))) _let_91 :args (_let_80 true _let_83)))) (let ((_let_94 (not _let_7))) (let ((_let_95 (and _let_15 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D)))))) (let ((_let_96 (= _let_5 _let_95))) (let ((_let_97 (or _let_43 _let_34 _let_18 _let_96))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_16)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 2)) _let_70 :args ((not _let_16) true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_95 0)) :args ((or _let_15 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_96)) :args ((or _let_19 _let_95 (not _let_96)))) _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_43 _let_34 _let_18 _let_96 (not _let_97)))) _let_63 _let_56 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_97 false _let_66)) :args (_let_96 false _let_40 false _let_32 false _let_17 false _let_97)) :args (_let_95 false _let_5 false _let_96)) :args (_let_15 false _let_95)) :args ((not _let_14) true _let_16 false _let_15)))) (let ((_let_99 (or _let_13 _let_10 _let_8))) (let ((_let_100 (_let_80))) (let ((_let_101 (REFL :args (_let_14)))) (let ((_let_102 (and _let_5 _let_94 _let_6))) (let ((_let_103 (ASSUME :args (_let_94)))) (let ((_let_104 (ASSUME :args (_let_5)))) (let ((_let_105 (ASSUME :args (_let_6)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_102)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_104 _let_105) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (TRANS (SYMM _let_105) (SYMM _let_104)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args (APPLY_UF tptp.related)) (FALSE_INTRO _let_103))) :args (_let_94 _let_5 _let_6))) :args (_let_5 _let_94 _let_6))) :args (true _let_102)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_7))) (REFL :args ((not _let_6))) (REFL :args ((not _let_8))) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_13 _let_10 _let_8 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_45)) :args ((or _let_12 _let_14))) _let_98 :args (_let_12 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_45)) :args ((or _let_9 _let_14))) _let_98 :args (_let_9 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_100) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element D _let_11) false))))) :args _let_100)) _let_93 :args (_let_99 false _let_80)) :args (_let_8 false _let_12 false _let_9 false _let_99)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 2)) _let_98 :args (_let_94 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_6 (not _let_75) (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_75)) :args ((or _let_82 _let_75 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_74))) :args _let_45)) :args ((or _let_74 _let_83))) _let_91 :args (_let_74 true _let_83)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_80 (= D D)))) _let_93 :args (_let_73 false _let_80)) :args (_let_75 false _let_74 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_43 _let_18 _let_78 _let_76 (not _let_79)))) _let_63 _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 0)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_45)) :args ((or _let_77 _let_83))) _let_91 :args (_let_77 true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68))) _let_67 :args (_let_79 false _let_66)) :args (_let_76 false _let_40 false _let_17 false _let_77 false _let_79)) :args (_let_6 false _let_75 false _let_76)) _let_72 :args (false false _let_8 true _let_7 false _let_6 false _let_5)) :args (_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.rel_str A) (tptp.element (tptp.join_on_relstr A B) (tptp.the_carrier A)))) (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))) true true true (exists ((A $$unsorted)) (tptp.rel_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.61 )
% 0.23/0.61 % SZS output end Proof for SEU359+1
% 0.23/0.61 % cvc5---1.0.5 exiting
% 0.23/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------