%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG090+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 13:49:58 EDT 2023

% Result   : Theorem 0.21s 0.61s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG090+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n021.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   : Sun Aug 27 01:59:57 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.61  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.w9uakreGfc/cvc5---1.0.5_6951.p...
% 0.21/0.61  ------- get file name : TPTP file name is RNG090+1
% 0.21/0.61  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6951.smt2...
% 0.21/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.61  % SZS status Theorem for RNG090+1
% 0.21/0.61  % SZS output start Proof for RNG090+1
% 0.21/0.61  (
% 0.21/0.61  (let ((_let_1 (tptp.sdtpldt0 tptp.xl tptp.xn))) (let ((_let_2 (tptp.sdtpldt0 tptp.xk tptp.xm))) (let ((_let_3 (tptp.sdtpldt0 _let_2 _let_1))) (let ((_let_4 (= (tptp.sdtpldt0 tptp.xx tptp.xy) _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.aElementOf0 _let_2 tptp.xI))) (let ((_let_7 (and _let_6 (tptp.aElementOf0 _let_1 tptp.xJ)))) (let ((_let_8 (tptp.sdtpldt0 tptp.xm tptp.xn))) (let ((_let_9 (= tptp.xy _let_8))) (let ((_let_10 (tptp.aElementOf0 tptp.xn tptp.xJ))) (let ((_let_11 (tptp.aElementOf0 tptp.xm tptp.xI))) (let ((_let_12 (and _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.sdtpldt0 tptp.xk tptp.xl))) (let ((_let_14 (= tptp.xx _let_13))) (let ((_let_15 (tptp.aElementOf0 tptp.xl tptp.xJ))) (let ((_let_16 (tptp.aElementOf0 tptp.xk tptp.xI))) (let ((_let_17 (and _let_16 _let_15 _let_14))) (let ((_let_18 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (let ((_let_19 (tptp.aIdeal0 tptp.xJ))) (let ((_let_20 (tptp.aIdeal0 tptp.xI))) (let ((_let_21 (and _let_20 _let_19))) (let ((_let_22 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))))) (let ((_let_23 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_24 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_27 (tptp.sdtpldt0 tptp.xl tptp.xk))) (let ((_let_28 (= _let_13 _let_27))) (let ((_let_29 (tptp.sdtpldt0 _let_2 tptp.xl))) (let ((_let_30 (= _let_3 (tptp.sdtpldt0 _let_29 tptp.xn)))) (let ((_let_31 (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xx tptp.xm) tptp.xn) (tptp.sdtpldt0 tptp.xx _let_8)))) (let ((_let_32 (tptp.sdtpldt0 tptp.xl _let_2))) (let ((_let_33 (= _let_29 _let_32))) (let ((_let_34 (= _let_32 (tptp.sdtpldt0 _let_27 tptp.xm)))) (let ((_let_35 (2))) (let ((_let_36 (ASSUME :args (_let_17)))) (let ((_let_37 (AND_ELIM _let_36 :args _let_35))) (let ((_let_38 (ASSUME :args (_let_12)))) (let ((_let_39 (tptp.aElement0 tptp.xl))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.aElement0 tptp.xk))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_28))) (let ((_let_44 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_48 (not _let_15))) (let ((_let_49 (tptp.aSet0 tptp.xJ))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_39))) (let ((_let_52 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1053 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_1053 W0)) (tptp.aElement0 BOUND_VARIABLE_1053))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((not (= (tptp.aElementOf0 BOUND_VARIABLE_1053 W0) false))))) (let ((_let_56 (and _let_49 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1177 $$unsorted) (BOUND_VARIABLE_1170 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1170 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1170) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1177)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1177 W1) tptp.xJ)))))))) (let ((_let_57 (= _let_19 _let_56))) (let ((_let_58 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1177 $$unsorted) (BOUND_VARIABLE_1170 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1170 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1170) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1177)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1177 W1) W0)))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 ((tptp.aIdeal0 W0)))) (let ((_let_62 (1))) (let ((_let_63 (ASSUME :args (_let_21)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_56 0)) :args ((or _let_49 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or (not _let_19) _let_56 (not _let_57)))) (AND_ELIM _let_63 :args _let_62) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.xJ QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_57 false _let_58)) :args (_let_56 false _let_19 false _let_57)) :args (_let_49 false _let_56)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_48 _let_39 _let_50 (not _let_51)))) (AND_ELIM _let_36 :args _let_62) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.xJ tptp.xl QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_39 false _let_15 false _let_49 false _let_51)))) (let ((_let_66 (not _let_16))) (let ((_let_67 (tptp.aSet0 tptp.xI))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66 _let_41))) (let ((_let_70 (and _let_67 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1177 $$unsorted) (BOUND_VARIABLE_1170 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1170 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1170) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1177)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1177 W1) tptp.xI)))))))) (let ((_let_71 (= _let_20 _let_70))) (let ((_let_72 (0))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 0)) :args ((or _let_67 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or (not _let_20) _let_70 (not _let_71)))) (AND_ELIM _let_63 :args _let_72) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.xI QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_71 false _let_58)) :args (_let_70 false _let_20 false _let_71)) :args (_let_67 false _let_70)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_66 _let_41 _let_68 (not _let_69)))) (AND_ELIM _let_36 :args _let_72) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.xI tptp.xk QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_69 false _let_52)) :args (_let_41 false _let_16 false _let_67 false _let_69)))) (let ((_let_75 (tptp.aElement0 tptp.xn))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.aElement0 _let_2))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_40 _let_76 _let_30))) (let ((_let_80 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (let ((_let_84 (not _let_6))) (let ((_let_85 (or _let_68 _let_84 _let_77))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_77 _let_68 (not _let_85)))) (AND_ELIM (ASSUME :args (_let_7)) :args _let_72) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.xI _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_85 false _let_52)) :args (_let_77 false _let_6 false _let_67 false _let_85)))) (let ((_let_87 (not _let_10))) (let ((_let_88 (or _let_50 _let_87 _let_75))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_75 _let_50 (not _let_88)))) (AND_ELIM _let_38 :args _let_62) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.xJ tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_88 false _let_52)) :args (_let_75 false _let_10 false _let_49 false _let_88)))) (let ((_let_90 (tptp.aElement0 tptp.xm))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.aElement0 tptp.xx))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91 _let_76 _let_31))) (let ((_let_95 (not _let_11))) (let ((_let_96 (or _let_68 _let_95 _let_90))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_90 _let_68 (not _let_96)))) (AND_ELIM _let_38 :args _let_72) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.xI tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_96 false _let_52)) :args (_let_90 false _let_11 false _let_67 false _let_96)))) (let ((_let_98 (tptp.aElement0 _let_13))) (let ((_let_99 (or _let_42 _let_40 _let_98))) (let ((_let_100 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (not _let_14))) (let ((_let_103 (and _let_14 _let_98))) (let ((_let_104 (ASSUME :args (_let_98)))) (let ((_let_105 (ASSUME :args (_let_14)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (SYMM _let_106))) (let ((_let_108 (or _let_78 _let_40 _let_33))) (let ((_let_109 (or _let_40 _let_42 _let_91 _let_34))) (let ((_let_110 (and _let_14 _let_9 _let_28 _let_30 _let_31 _let_33 _let_34))) (let ((_let_111 (ASSUME :args (_let_30)))) (let ((_let_112 (APPLY_UF tptp.sdtpldt0))) (let ((_let_113 (ASSUME :args (_let_33)))) (let ((_let_114 (ASSUME :args (_let_34)))) (let ((_let_115 (ASSUME :args (_let_28)))) (let ((_let_116 (ASSUME :args (_let_31)))) (let ((_let_117 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_113 _let_114 _let_115 _let_105 _let_116 _let_117) (SCOPE (TRANS (CONG _let_107 (REFL :args (tptp.xy)) :args _let_112) (CONG _let_106 (SYMM (SYMM _let_117)) :args _let_112) (SYMM _let_116) (CONG (TRANS (CONG (TRANS _let_107 (SYMM (SYMM _let_115))) (REFL :args (tptp.xm)) :args _let_112) (SYMM _let_114) (SYMM _let_113)) (REFL :args (tptp.xn)) :args _let_112) (SYMM _let_111)) :args (_let_30 _let_33 _let_34 _let_28 _let_14 _let_31 _let_9))) :args (_let_14 _let_9 _let_28 _let_30 _let_31 _let_33 _let_34))) :args (true _let_110)) :args ((or _let_4 _let_102 (not _let_9) (not _let_28) (not _let_30) (not _let_31) (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_42 _let_40 _let_91 _let_34 (not _let_109)))) _let_74 _let_65 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xl tptp.xk tptp.xm QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) :args _let_82))) _let_81 :args (_let_109 false _let_80)) :args (_let_34 false _let_41 false _let_39 false _let_90 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_40 _let_78 _let_33 (not _let_108)))) _let_65 _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_2 tptp.xl QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_108 false _let_44)) :args (_let_33 false _let_39 false _let_77 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_91 _let_76 _let_31 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_103)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_104 _let_105) (SCOPE (TRUE_ELIM (TRANS (CONG _let_107 :args (APPLY_UF tptp.aElement0)) (TRUE_INTRO _let_104))) :args (_let_98 _let_14))) :args (_let_14 _let_98))) :args (true _let_103)) :args ((or _let_102 _let_92 (not _let_98)))) _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_42 _let_40 _let_98 (not _let_99)))) _let_74 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.xk tptp.xl QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_100))) _let_101 :args (_let_99 false _let_100)) :args (_let_98 false _let_41 false _let_39 false _let_99)) :args (_let_92 false _let_14 false _let_98)) _let_97 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xx tptp.xm tptp.xn QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_82)) _let_81 :args (_let_94 false _let_80)) :args (_let_31 false _let_92 false _let_90 false _let_75 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_40 _let_76 _let_78 _let_30 (not _let_79)))) _let_65 _let_89 _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_2 tptp.xl tptp.xn QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_82))) _let_81 :args (_let_79 false _let_80)) :args (_let_30 false _let_39 false _let_75 false _let_77 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_40 _let_28 (not _let_43)))) _let_74 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.xk tptp.xl QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_28 false _let_41 false _let_39 false _let_43)) (ASSUME :args (_let_5)) (AND_ELIM _let_38 :args _let_35) _let_37 :args (false false _let_34 false _let_33 false _let_31 false _let_30 false _let_28 true _let_4 false _let_9 false _let_14)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (tptp.aElement0 tptp.sz00) (tptp.aElement0 tptp.sz10) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))) _let_26 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))) _let_25 _let_24 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (not (= tptp.sz10 tptp.sz00)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) _let_23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 W2 W1))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtasasdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) _let_22 _let_21 (and (tptp.aElementOf0 tptp.xx _let_18) (tptp.aElementOf0 tptp.xy _let_18) (tptp.aElement0 tptp.xz)) _let_17 _let_12 _let_7 (and (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) _let_5 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.61  )
% 0.21/0.61  % SZS output end Proof for RNG090+1
% 0.21/0.62  % cvc5---1.0.5 exiting
% 0.21/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------