TSTP Solution File: RNG093+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG093+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 13:49:59 EDT 2023
% Result : Theorem 25.56s 26.03s
% Output : Proof 25.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : RNG093+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.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 02:54:39 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 25.56/26.03 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.rdEKRd0yzL/cvc5---1.0.5_16859.p...
% 25.56/26.03 ------- get file name : TPTP file name is RNG093+1
% 25.56/26.03 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16859.smt2...
% 25.56/26.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.56/26.03 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.56/26.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.56/26.03 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.56/26.03 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.56/26.03 % SZS status Theorem for RNG093+1
% 25.56/26.03 % SZS output start Proof for RNG093+1
% 25.56/26.03 (
% 25.56/26.03 (let ((_let_1 (tptp.sdtasasdt0 tptp.xI tptp.xJ))) (let ((_let_2 (tptp.aIdeal0 _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.aIdeal0 tptp.xJ))) (let ((_let_5 (tptp.aIdeal0 tptp.xI))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (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_8 (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 ((_let_9 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (tptp.aElementOf0 _let_9 tptp.xJ))) (let ((_let_11 (tptp.aElementOf0 _let_9 tptp.xI))) (let ((_let_12 (and _let_11 _let_10))) (let ((_let_13 (tptp.aElementOf0 _let_9 _let_1))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (not _let_12))) (let ((_let_16 (forall ((W3 $$unsorted)) (= (and (tptp.aElementOf0 W3 tptp.xI) (tptp.aElementOf0 W3 tptp.xJ)) (tptp.aElementOf0 W3 (tptp.sdtasasdt0 tptp.xI tptp.xJ)))))) (let ((_let_17 (tptp.aSet0 _let_1))) (let ((_let_18 (and _let_17 _let_16))) (let ((_let_19 (tptp.aSet0 tptp.xJ))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.aSet0 tptp.xI))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18))) (let ((_let_24 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1115 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtasasdt0 W0 W1) BOUND_VARIABLE_1115) (and (tptp.aSet0 BOUND_VARIABLE_1115) (forall ((W3 $$unsorted)) (= (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1)) (tptp.aElementOf0 W3 BOUND_VARIABLE_1115))))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1154 $$unsorted) (BOUND_VARIABLE_1147 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1147 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1147) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1154)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1154 W1) tptp.xJ))))))) (let ((_let_27 (and _let_19 _let_26))) (let ((_let_28 (= _let_4 _let_27))) (let ((_let_29 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1154 $$unsorted) (BOUND_VARIABLE_1147 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1147 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1147) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1154)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1154 W1) W0)))))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 ((tptp.aIdeal0 W0)))) (let ((_let_33 (ASSUME :args (_let_6)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_28)) :args ((or (not _let_4) _let_27 (not _let_28)))) (AND_ELIM _let_33 :args (1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xJ QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_4 false _let_28)))) (let ((_let_35 (not _let_27))) (let ((_let_36 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1154 $$unsorted) (BOUND_VARIABLE_1147 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1147 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1147) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1154)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1154 W1) tptp.xI))))))) (let ((_let_37 (and _let_21 _let_36))) (let ((_let_38 (= _let_5 _let_37))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or (not _let_5) _let_37 (not _let_38)))) (AND_ELIM _let_33 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xI QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_38 false _let_29)) :args (_let_37 false _let_5 false _let_38)))) (let ((_let_40 (not _let_37))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 _let_18 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_21 _let_40))) _let_39 :args (_let_21 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_19 _let_35))) _let_34 :args (_let_19 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.xI tptp.xJ _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_24)))) _let_25 :args (_let_23 false _let_24)) :args (_let_18 false _let_21 false _let_19 false _let_23)))) (let ((_let_42 (not _let_18))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_16 _let_42))) _let_41 :args (_let_16 false _let_18)))) (let ((_let_44 (_let_16))) (let ((_let_45 ((tptp.aElementOf0 W3 _let_1)))) (let ((_let_46 (ASSUME :args _let_44))) (let ((_let_47 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_1))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_13))) (let ((_let_50 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_51 (tptp.aElementOf0 _let_50 _let_1))) (let ((_let_52 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (and _let_49 _let_54))) (let ((_let_56 (tptp.aElementOf0 _let_50 tptp.xI))) (let ((_let_57 (or _let_53 _let_56))) (let ((_let_58 (tptp.aElementOf0 _let_50 tptp.xJ))) (let ((_let_59 (or _let_53 _let_58))) (let ((_let_60 (and _let_56 _let_58))) (let ((_let_61 (= _let_51 _let_60))) (let ((_let_62 (or))) (let ((_let_63 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xI))) (let ((_let_64 (and (or (not (tptp.aElementOf0 tptp.xI tptp.xI)) (tptp.aElementOf0 _let_63 tptp.xI)) _let_57))) (let ((_let_65 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xI))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_40))) _let_39 :args (_let_36 false _let_37)))) (let ((_let_69 (_let_36))) (let ((_let_70 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.xI QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_71 (ASSUME :args _let_69))) (let ((_let_72 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xJ))) (let ((_let_73 (and _let_65 _let_72))) (let ((_let_74 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1))) (let ((_let_75 (= _let_74 _let_73))) (let ((_let_76 (not _let_74))) (let ((_let_77 (or _let_76 _let_55))) (let ((_let_78 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1154 $$unsorted) (BOUND_VARIABLE_1147 $$unsorted)) (let ((_let_1 (tptp.sdtasasdt0 tptp.xI tptp.xJ))) (or (not (tptp.aElementOf0 W1 _let_1)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1147 _let_1)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1147) _let_1)) (or (not (tptp.aElement0 BOUND_VARIABLE_1154)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1154 W1) _let_1)))))))) (let ((_let_79 (not _let_77))) (let ((_let_80 (and _let_17 _let_78))) (let ((_let_81 (not _let_78))) (let ((_let_82 (= _let_2 _let_80))) (let ((_let_83 (not _let_80))) (let ((_let_84 (_let_81))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_78))) (REFL :args (_let_79)) :args _let_62)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_82)) :args ((or _let_2 _let_83 (not _let_82)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_82 false _let_29)) :args (_let_83 true _let_2 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_17 _let_42))) _let_41 :args (_let_17 false _let_18)) :args (_let_81 true _let_80 false _let_17)) :args (_let_79 true _let_78)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or _let_76 _let_73 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 0)) (CONG (REFL :args (_let_77)) (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_74))) :args _let_62)) :args ((or _let_74 _let_77))) _let_85 :args (_let_74 true _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44))) _let_43 :args (_let_75 false _let_16)) :args (_let_73 false _let_74 false _let_75)))) (let ((_let_87 (not _let_73))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 0)) :args ((or _let_65 _let_87))) _let_86 :args (_let_65 false _let_73)))) (let ((_let_89 (and (or (not (tptp.aElementOf0 tptp.xI tptp.xJ)) (tptp.aElementOf0 _let_63 tptp.xJ)) _let_59))) (let ((_let_90 (not _let_72))) (let ((_let_91 (or _let_90 _let_89))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_26 _let_35))) _let_34 :args (_let_26 false _let_27)))) (let ((_let_93 (_let_26))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 1)) :args ((or _let_72 _let_87))) _let_86 :args (_let_72 false _let_73)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_55)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_77 1)) _let_85 :args ((not _let_55) true _let_77)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_60)) (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_51 (not _let_60) (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44))) _let_43 :args (_let_61 false _let_16)) (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_53 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_59 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_89 (not _let_91)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_70) :args _let_93)) _let_92 :args (_let_91 false _let_26)) :args (_let_89 false _let_72 false _let_91)) :args (_let_59 false _let_89)) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_53 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_57 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_64 (not _let_67)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args _let_70) :args _let_69)) _let_68 :args (_let_67 false _let_36)) :args (_let_64 false _let_65 false _let_67)) :args (_let_57 false _let_64)) (CNF_OR_NEG :args (_let_54 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_62)) :args ((or _let_52 _let_54))) :args (_let_54 true _let_60 false _let_61 false _let_58 false _let_59 false _let_56 false _let_57 true _let_51 false _let_52)) :args ((not _let_49) true _let_55 false _let_54)))) (let ((_let_97 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.xI))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_11))) (let ((_let_100 (tptp.sdtasdt0 tptp.xI SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_101 (not (tptp.aElement0 tptp.xI)))) (let ((_let_102 (and _let_99 (or _let_101 (tptp.aElementOf0 _let_100 tptp.xI))))) (let ((_let_103 (or _let_66 _let_102))) (let ((_let_104 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xI SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_105 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.xJ))) (let ((_let_106 (and _let_97 _let_105))) (let ((_let_107 (= _let_47 _let_106))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_107)) :args ((or _let_48 _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_62)) :args ((or _let_47 _let_49))) _let_96 :args (_let_47 true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44))) _let_43 :args (_let_107 false _let_16)) :args (_let_106 false _let_47 false _let_107)))) (let ((_let_109 (not _let_106))) (let ((_let_110 (not _let_105))) (let ((_let_111 (or _let_110 _let_10))) (let ((_let_112 (and _let_111 (or _let_101 (tptp.aElementOf0 _let_100 tptp.xJ))))) (let ((_let_113 (or _let_90 _let_112))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_10 _let_110 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 1)) :args ((or _let_105 _let_109))) _let_108 :args (_let_105 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_112 0)) :args ((or _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_90 _let_112 (not _let_113)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_104) :args _let_93)) _let_92 :args (_let_113 false _let_26)) :args (_let_112 false _let_72 false _let_113)) :args (_let_111 false _let_112)) :args (_let_10 false _let_105 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_11 _let_98 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 0)) :args ((or _let_97 _let_109))) _let_108 :args (_let_97 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_99 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_66 _let_102 (not _let_103)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args _let_104) :args _let_69)) _let_68 :args (_let_103 false _let_36)) :args (_let_102 false _let_65 false _let_103)) :args (_let_99 false _let_102)) :args (_let_11 false _let_97 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_14)) :args ((or _let_13 _let_15 (not _let_14)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 1)) _let_96 :args ((not _let_13) true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44))) _let_43 :args (_let_14 false _let_16)) :args (_let_15 true _let_13 false _let_14)) :args (false false _let_10 false _let_11 true _let_12)) :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)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$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 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))) (forall ((W0 $$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 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) _let_8 _let_7 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtpldt1 W0 W1)))) _let_6 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.56/26.04 )
% 25.56/26.04 % SZS output end Proof for RNG093+1
% 25.56/26.04 % cvc5---1.0.5 exiting
% 25.56/26.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------