TSTP Solution File: RNG097+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG097+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 13:50:01 EDT 2023
% Result : Theorem 31.25s 31.56s
% Output : Proof 31.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : RNG097+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.15 % Command : do_cvc5 %s %d
% 0.11/0.34 % Computer : n018.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sun Aug 27 02:53:30 EDT 2023
% 0.11/0.35 % CPUTime :
% 0.16/0.48 %----Proving TF0_NAR, FOF, or CNF
% 31.25/31.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.j4Huuq5RER/cvc5---1.0.5_14236.p...
% 31.25/31.56 ------- get file name : TPTP file name is RNG097+1
% 31.25/31.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14236.smt2...
% 31.25/31.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 31.25/31.56 --- Run --no-e-matching --full-saturate-quant at 5...
% 31.25/31.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 31.25/31.56 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 31.25/31.56 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 31.25/31.56 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 31.25/31.56 % SZS status Theorem for RNG097+1
% 31.25/31.56 % SZS output start Proof for RNG097+1
% 31.25/31.56 (
% 31.25/31.56 (let ((_let_1 (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xx (tptp.sdtpldt0 tptp.xb (tptp.smndt0 tptp.sz10))) tptp.xI)))) (let ((_let_2 (tptp.smndt0 tptp.xx))) (let ((_let_3 (tptp.sdtasdt0 tptp.xx tptp.xb))) (let ((_let_4 (tptp.sdtpldt0 _let_3 _let_2))) (let ((_let_5 (tptp.sdtasdt0 tptp.xy tptp.xa))) (let ((_let_6 (= tptp.xw (tptp.sdtpldt0 _let_5 _let_3)))) (let ((_let_7 (tptp.sdtpldt0 tptp.xa tptp.xb))) (let ((_let_8 (tptp.aElementOf0 tptp.xb tptp.xJ))) (let ((_let_9 (tptp.aElementOf0 tptp.xa tptp.xI))) (let ((_let_10 (and _let_9 _let_8 (= _let_7 tptp.sz10)))) (let ((_let_11 (tptp.aElement0 tptp.xx))) (let ((_let_12 (and _let_11 (tptp.aElement0 tptp.xy)))) (let ((_let_13 (tptp.aIdeal0 tptp.xJ))) (let ((_let_14 (tptp.aIdeal0 tptp.xI))) (let ((_let_15 (and _let_14 _let_13))) (let ((_let_16 (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_17 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_18 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_19 (forall ((W0 $$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))))))))) (let ((_let_20 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))))) (let ((_let_21 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_22 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_23 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (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 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_27 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))))) (let ((_let_28 (tptp.aElement0 tptp.sz10))) (let ((_let_29 (tptp.aElement0 tptp.sz00))) (let ((_let_30 (tptp.smndt0 _let_7))) (let ((_let_31 (tptp.sdtpldt0 tptp.xb _let_30))) (let ((_let_32 (tptp.sdtasdt0 tptp.xx _let_31))) (let ((_let_33 (tptp.aElementOf0 _let_32 tptp.xI))) (let ((_let_34 (= tptp.xx (tptp.sdtasdt0 _let_7 tptp.xx)))) (let ((_let_35 (tptp.sdtasdt0 _let_30 tptp.sz00))) (let ((_let_36 (tptp.smndt0 tptp.sz00))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (tptp.sdtasdt0 tptp.sz00 _let_30))) (let ((_let_39 (= _let_36 _let_38))) (let ((_let_40 (tptp.sdtasdt0 tptp.xx _let_30))) (let ((_let_41 (= _let_2 _let_40))) (let ((_let_42 (= _let_30 (tptp.sdtasdt0 _let_7 _let_30)))) (let ((_let_43 (tptp.sdtpldt0 tptp.xb tptp.xa))) (let ((_let_44 (= _let_7 _let_43))) (let ((_let_45 (= _let_32 (tptp.sdtpldt0 _let_3 _let_40)))) (let ((_let_46 (= _let_4 (tptp.sdtpldt0 _let_2 _let_3)))) (let ((_let_47 (= tptp.sz00 _let_35))) (let ((_let_48 (tptp.sdtpldt0 tptp.sz00 tptp.xa))) (let ((_let_49 (= tptp.xa _let_48))) (let ((_let_50 (tptp.smndt0 tptp.xb))) (let ((_let_51 (= tptp.sz00 (tptp.sdtpldt0 tptp.xb _let_50)))) (let ((_let_52 (tptp.sdtasdt0 tptp.xb tptp.xx))) (let ((_let_53 (= (tptp.sdtasdt0 _let_43 tptp.xx) (tptp.sdtpldt0 _let_52 (tptp.sdtasdt0 tptp.xa tptp.xx))))) (let ((_let_54 (tptp.sdtasdt0 tptp.xa _let_30))) (let ((_let_55 (tptp.sdtasdt0 tptp.xb _let_30))) (let ((_let_56 (tptp.sdtpldt0 _let_55 _let_54))) (let ((_let_57 (= (tptp.sdtasdt0 _let_43 _let_30) _let_56))) (let ((_let_58 (tptp.sdtasdt0 _let_30 tptp.xa))) (let ((_let_59 (tptp.smndt0 tptp.xa))) (let ((_let_60 (= _let_59 _let_58))) (let ((_let_61 (= _let_59 _let_54))) (let ((_let_62 (= _let_50 _let_55))) (let ((_let_63 (= (tptp.sdtasdt0 _let_30 _let_48) (tptp.sdtpldt0 _let_35 _let_58)))) (let ((_let_64 (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xb _let_55) _let_54) (tptp.sdtpldt0 tptp.xb _let_56)))) (let ((_let_65 (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xx _let_54) tptp.xI))) (let ((_let_66 (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_67 (ASSUME :args (_let_10)))) (let ((_let_68 (AND_INTRO (ASSUME :args (_let_6)) (AND_ELIM (EQ_RESOLVE _let_67 _let_66) :args (2))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO _let_68 :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (and (= tptp.xx (tptp.sdtasdt0 tptp.xx _let_7)) _let_34))) (let ((_let_71 (not _let_11))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 tptp.xa tptp.xb))) (or (not (tptp.aElement0 W0)) (and (= W0 (tptp.sdtasdt0 W0 _let_1)) (= W0 (tptp.sdtasdt0 _let_1 W0)))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_21)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_68 :args ((forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_75 (0))) (let ((_let_76 (AND_ELIM (ASSUME :args (_let_12)) :args _let_75))) (let ((_let_77 (and _let_37 _let_39))) (let ((_let_78 (not _let_29))) (let ((_let_79 (or _let_78 _let_77))) (let ((_let_80 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 (tptp.sdtpldt0 tptp.xa tptp.xb)))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_19)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_68 :args ((forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((not (= (tptp.aElement0 W0) false))))) (let ((_let_84 (ASSUME :args (_let_29)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_77 (not _let_79)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_79 false _let_80)) :args (_let_77 false _let_29 false _let_79)))) (let ((_let_86 (not _let_77))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 0)) :args ((or _let_37 _let_86))) _let_85 :args (_let_37 false _let_77)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_39 _let_86))) _let_85 :args (_let_39 false _let_77)))) (let ((_let_89 (tptp.sdtasdt0 _let_30 tptp.xx))) (let ((_let_90 (and (= _let_2 _let_89) _let_41))) (let ((_let_91 (or _let_71 _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 1)) :args ((or _let_41 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_71 _let_90 (not _let_91)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_91 false _let_80)) :args (_let_90 false _let_11 false _let_91)) :args (_let_41 false _let_90)))) (let ((_let_93 (and (= _let_30 (tptp.sdtasdt0 _let_30 _let_7)) _let_42))) (let ((_let_94 (tptp.aElement0 _let_7))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO _let_68 :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 1)) :args ((or _let_42 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_93 (not _let_96)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_96 false _let_80)) :args (_let_93 false _let_94 false _let_96)) :args (_let_42 false _let_93)))) (let ((_let_99 (tptp.aElement0 tptp.xb))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.aElement0 tptp.xa))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100 _let_44))) (let ((_let_104 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_108 (not _let_8))) (let ((_let_109 (tptp.aSet0 tptp.xJ))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108 _let_99))) (let ((_let_112 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1087 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_1087 W0)) (tptp.aElement0 BOUND_VARIABLE_1087))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 ((not (= (tptp.aElementOf0 BOUND_VARIABLE_1087 W0) false))))) (let ((_let_116 (and _let_109 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1211 $$unsorted) (BOUND_VARIABLE_1204 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1204 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1204) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1211)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1211 W1) tptp.xJ)))))))) (let ((_let_117 (= _let_13 _let_116))) (let ((_let_118 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1211 $$unsorted) (BOUND_VARIABLE_1204 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1204 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1204) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1211)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1211 W1) W0)))))))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 ((tptp.aIdeal0 W0)))) (let ((_let_122 (1))) (let ((_let_123 (ASSUME :args (_let_15)))) (let ((_let_124 (EQ_RESOLVE _let_67 (TRANS _let_66 (MACRO_SR_EQ_INTRO _let_68 :args ((and _let_9 _let_8 (= tptp.sz10 _let_7)) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_108 _let_99 _let_110 (not _let_111)))) (AND_ELIM _let_124 :args _let_122) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_116 0)) :args ((or _let_109 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_117)) :args ((or (not _let_13) _let_116 (not _let_117)))) (AND_ELIM _let_123 :args _let_122) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.xJ QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_117 false _let_118)) :args (_let_116 false _let_13 false _let_117)) :args (_let_109 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.xJ tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_111 false _let_112)) :args (_let_99 false _let_8 false _let_109 false _let_111)))) (let ((_let_126 (not _let_9))) (let ((_let_127 (tptp.aSet0 tptp.xI))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126 _let_101))) (let ((_let_130 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1211 $$unsorted) (BOUND_VARIABLE_1204 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1204 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1204) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1211)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1211 W1) tptp.xI))))))) (let ((_let_131 (and _let_127 _let_130))) (let ((_let_132 (= _let_14 _let_131))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_132)) :args ((or (not _let_14) _let_131 (not _let_132)))) (AND_ELIM _let_123 :args _let_75) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.xI QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_132 false _let_118)) :args (_let_131 false _let_14 false _let_132)))) (let ((_let_134 (not _let_131))) (let ((_let_135 (AND_ELIM _let_124 :args _let_75))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_126 _let_101 _let_128 (not _let_129)))) _let_135 (MACRO_RESOLUTION_TRUST (REORDERING 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_let_51 _let_53 _let_57 _let_60 _let_61 _let_62 _let_64 _let_63 _let_65)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_69)) (CONG (SYMM _let_280) _let_241 :args _let_240) (CONG (TRANS _let_280 (TRANS (CONG (SYMM _let_277) (REFL :args (_let_31)) :args _let_248) (CONG _let_277 (TRANS _let_271 _let_266 _let_264 (CONG _let_260 (TRANS _let_245 _let_242) :args _let_254) _let_253 _let_251 _let_243 _let_246) :args _let_248))) _let_241 :args _let_240) (TRUE_INTRO _let_274))) :args (_let_65 _let_34 _let_44 _let_53 _let_61 _let_60 _let_49 _let_63 _let_47 _let_37 _let_39 _let_51 _let_62 _let_64 _let_57 _let_42 _let_45 _let_41 _let_46 _let_273)) :args ((not (and _let_273 _let_44 _let_46 _let_34 _let_45 _let_37 _let_39 _let_41 _let_42 _let_47 _let_49 _let_51 _let_53 _let_57 _let_60 _let_61 _let_62 _let_64 _let_63 _let_65)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_273) _let_33))) (REFL :args (_let_237)) (REFL :args ((not _let_46))) (REFL :args ((not _let_34))) (REFL :args ((not _let_45))) (REFL :args (_let_236)) (REFL :args (_let_235)) (REFL :args (_let_161)) (REFL :args (_let_234)) (REFL :args (_let_233)) (REFL :args (_let_232)) (REFL :args (_let_231)) (REFL :args ((not _let_53))) (REFL :args (_let_230)) (REFL :args (_let_229)) (REFL :args (_let_228)) (REFL :args (_let_227)) (REFL :args (_let_226)) (REFL :args (_let_225)) (REFL :args ((not _let_65))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_212)) :args ((or _let_71 _let_65 (not _let_212)))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_214 1)) :args ((or _let_212 (not _let_214)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_216 _let_214 (not _let_217)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_238)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_239 _let_242 _let_244 _let_249 _let_252 _let_255 _let_257 _let_258 _let_261 _let_262 _let_265 _let_267 _let_268 _let_270) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_272) _let_241 :args _let_240) (CONG (TRANS _let_272 _let_247) _let_241 :args _let_240) (TRUE_INTRO _let_239))) :args (_let_221 _let_60 _let_61 _let_49 _let_63 _let_47 _let_37 _let_39 _let_51 _let_62 _let_64 _let_57 _let_44 _let_42))) :args (_let_44 _let_37 _let_39 _let_42 _let_47 _let_49 _let_51 _let_57 _let_60 _let_61 _let_62 _let_64 _let_63 _let_221))) :args (true _let_238)) :args ((or _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_215 _let_226 _let_225 (not _let_221)))) _let_137 _let_87 _let_88 _let_98 _let_171 _let_177 _let_182 _let_189 _let_194 _let_195 _let_198 _let_211 _let_201 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_222)) :args ((or _let_140 _let_221 (not _let_222)))) _let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_223 1)) :args ((or _let_222 (not _let_223)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_224)) :args ((or _let_126 _let_223 (not _let_224)))) _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (tptp.xa _let_30 tptp.sz00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_219)) _let_218 :args (_let_224 false _let_130)) :args (_let_223 false _let_9 false _let_224)) :args (_let_222 false _let_223)) :args (_let_221 false _let_139 false _let_222)) :args (_let_215 false _let_44 false _let_37 false _let_39 false _let_42 false _let_47 false _let_49 false _let_51 false _let_57 false _let_60 false _let_61 false _let_62 false _let_64 false _let_63 false _let_221)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (_let_54 tptp.xx tptp.sz00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_219)) _let_218 :args (_let_217 false _let_130)) :args (_let_214 false _let_215 false _let_217)) :args (_let_212 false _let_214)) :args (_let_65 false _let_11 false _let_212)) _let_211 _let_201 _let_198 _let_195 _let_194 _let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_183 1)) :args ((or _let_53 (not _let_183)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_184)) :args ((or _let_71 _let_102 _let_100 _let_183 (not _let_184)))) _let_76 _let_136 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.xx tptp.xb tptp.xa QUANTIFIERS_INST_E_MATCHING _let_185)) :args _let_144)) _let_143 :args (_let_184 false _let_142)) :args (_let_183 false _let_11 false _let_101 false _let_99 false _let_184)) :args (_let_53 false _let_183)) _let_182 _let_177 _let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_154 _let_152 _let_46 (not _let_155)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_71 _let_100 _let_153 (not _let_166)))) _let_76 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.xx tptp.xb QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_160)) _let_159 :args (_let_166 false _let_158)) :args (_let_153 false _let_11 false _let_99 false _let_166)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_162)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_163 _let_164) (SCOPE (TRUE_ELIM (TRANS (CONG _let_165 :args (APPLY_UF tptp.aElement0)) (TRUE_INTRO _let_163))) :args (_let_156 _let_41))) :args (_let_41 _let_156))) :args (true _let_162)) :args ((or _let_151 _let_161 (not _let_156)))) _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_71 _let_140 _let_156 (not _let_157)))) _let_76 _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.xx _let_30 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_160)) _let_159 :args (_let_157 false _let_158)) :args (_let_156 false _let_11 false _let_139 false _let_157)) :args (_let_151 false _let_41 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_106)) _let_105 :args (_let_155 false _let_104)) :args (_let_46 false _let_153 false _let_151 false _let_155)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_138 0)) :args ((or _let_45 (not _let_138)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_71 _let_100 _let_140 _let_138 (not _let_141)))) _let_76 _let_125 _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.xx tptp.xb _let_30 QUANTIFIERS_INST_E_MATCHING _let_146)) :args _let_144)) _let_143 :args (_let_141 false _let_142)) :args (_let_138 false _let_11 false _let_99 false _let_139 false _let_141)) :args (_let_45 false _let_138)) _let_137 _let_98 _let_92 _let_88 _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_34 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_70 (not _let_72)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElement0 W0) false))))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_70 false _let_11 false _let_72)) :args (_let_34 false _let_70)) _let_69 :args (false false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_60 false _let_57 false _let_53 false _let_51 false _let_49 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_41 false _let_39 false _let_37 false _let_34 true _let_33)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_29 _let_28 _let_27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))) _let_26 _let_25 _let_24 _let_23 _let_22 (forall ((W0 $$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))))) _let_21 _let_20 _let_19 _let_18 (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 $$unsorted)) (=> (tptp.aSet0 W0) true)) _let_17 (forall ((W0 $$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 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) _let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtpldt1 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtasasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aIdeal0 W2)) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aElementOf0 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)) W2)))) _let_15 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElementOf0 W0 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) _let_12 _let_10 _let_6 (= (tptp.sdtpldt0 tptp.xw _let_2) (tptp.sdtpldt0 _let_5 _let_4)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.25/31.57 )
% 31.25/31.57 % SZS output end Proof for RNG097+1
% 31.25/31.57 % cvc5---1.0.5 exiting
% 31.25/31.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------