TSTP Solution File: RNG093+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 13:50:00 EDT 2023
% Result : Theorem 0.22s 0.73s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 01:22:47 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.73 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TXyBf7hT99/cvc5---1.0.5_18372.p...
% 0.22/0.73 ------- get file name : TPTP file name is RNG093+2
% 0.22/0.73 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18372.smt2...
% 0.22/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.73 % SZS status Theorem for RNG093+2
% 0.22/0.73 % SZS output start Proof for RNG093+2
% 0.22/0.73 (
% 0.22/0.73 (let ((_let_1 (tptp.sdtasasdt0 tptp.xI tptp.xJ))) (let ((_let_2 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtasasdt0 tptp.xI tptp.xJ)) (and (tptp.aElementOf0 W0 tptp.xI) (tptp.aElementOf0 W0 tptp.xJ)))))) (let ((_let_3 (not (=> (and (tptp.aSet0 _let_1) _let_2) (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtasasdt0 tptp.xI tptp.xJ)) (and (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtasasdt0 tptp.xI tptp.xJ))) (=> (tptp.aElementOf0 W1 _let_1) (tptp.aElementOf0 (tptp.sdtpldt0 W0 W1) _let_1)))) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (tptp.aElementOf0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasasdt0 tptp.xI tptp.xJ))))))) (tptp.aIdeal0 _let_1)))))) (let ((_let_4 (and (tptp.aSet0 tptp.xI) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xI) (and (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xI) (tptp.aElementOf0 (tptp.sdtpldt0 W0 W1) tptp.xI))) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (tptp.aElementOf0 (tptp.sdtasdt0 W1 W0) tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (tptp.aSet0 tptp.xJ) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xJ) (and (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xJ) (tptp.aElementOf0 (tptp.sdtpldt0 W0 W1) tptp.xJ))) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (tptp.aElementOf0 (tptp.sdtasdt0 W1 W0) tptp.xJ)))))) (tptp.aIdeal0 tptp.xJ)))) (let ((_let_5 (tptp.aElement0 tptp.sz00))) (let ((_let_6 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.aElementOf0 _let_6 tptp.xJ))) (let ((_let_8 (tptp.aElementOf0 _let_6 tptp.xI))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.aElementOf0 _let_6 _let_1))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (not _let_9))) (let ((_let_13 (1))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (AND_ELIM (NOT_IMPLIES_ELIM1 _let_14) :args _let_13))) (let ((_let_16 (_let_2))) (let ((_let_17 ((tptp.aElementOf0 W0 _let_1)))) (let ((_let_18 (ASSUME :args _let_16))) (let ((_let_19 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_1))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_10))) (let ((_let_22 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.aElementOf0 _let_22 _let_1))) (let ((_let_24 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (and _let_21 _let_26))) (let ((_let_28 (tptp.aElementOf0 _let_22 tptp.xI))) (let ((_let_29 (or _let_25 _let_28))) (let ((_let_30 (tptp.aElementOf0 _let_22 tptp.xJ))) (let ((_let_31 (or _let_25 _let_30))) (let ((_let_32 (and _let_28 _let_30))) (let ((_let_33 (= _let_23 _let_32))) (let ((_let_34 (or))) (let ((_let_35 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xI))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_8))) (let ((_let_38 (and _let_37 _let_29))) (let ((_let_39 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xI))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1269 $$unsorted) (BOUND_VARIABLE_1262 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1262 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1262) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1269)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1269 W0) tptp.xI))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (AND_ELIM _let_43 :args _let_13))) (let ((_let_45 (_let_42))) (let ((_let_46 ((tptp.sdtpldt0 W0 BOUND_VARIABLE_1262) (tptp.aElement0 BOUND_VARIABLE_1269)))) (let ((_let_47 (ASSUME :args _let_45))) (let ((_let_48 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xJ))) (let ((_let_49 (and _let_39 _let_48))) (let ((_let_50 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (not _let_50))) (let ((_let_53 (or _let_52 _let_27))) (let ((_let_54 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1331 $$unsorted) (BOUND_VARIABLE_1324 $$unsorted)) (let ((_let_1 (tptp.sdtasasdt0 tptp.xI tptp.xJ))) (or (not (tptp.aElementOf0 W0 _let_1)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1324 _let_1)) (tptp.aElementOf0 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1324) _let_1)) (or (not (tptp.aElement0 BOUND_VARIABLE_1331)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1331 W0) _let_1)))))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (not _let_54))) (let ((_let_57 (_let_56))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_54))) (REFL :args (_let_55)) :args _let_34)) (NOT_OR_ELIM (NOT_IMPLIES_ELIM2 _let_14) :args (0)) :args (_let_55 true _let_54)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_51)) :args ((or _let_52 _let_49 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_50))) :args _let_34)) :args ((or _let_50 _let_53))) _let_58 :args (_let_50 true _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_51 false _let_2)) :args (_let_49 false _let_50 false _let_51)))) (let ((_let_60 (not _let_49))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 0)) :args ((or _let_39 _let_60))) _let_59 :args (_let_39 false _let_49)))) (let ((_let_62 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xJ))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_7))) (let ((_let_65 (and _let_64 _let_31))) (let ((_let_66 (not _let_48))) (let ((_let_67 (or _let_66 _let_65))) (let ((_let_68 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1299 $$unsorted) (BOUND_VARIABLE_1292 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1292 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1292) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1299)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1299 W0) tptp.xJ))))))) (let ((_let_69 (AND_ELIM _let_43 :args (4)))) (let ((_let_70 (_let_68))) (let ((_let_71 ((tptp.sdtpldt0 W0 BOUND_VARIABLE_1292) (tptp.aElement0 BOUND_VARIABLE_1299)))) (let ((_let_72 (ASSUME :args _let_70))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 1)) :args ((or _let_48 _let_60))) _let_59 :args (_let_48 false _let_49)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_27)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 1)) _let_58 :args ((not _let_27) true _let_53)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_32)) (REORDERING (CNF_EQUIV_POS2 :args (_let_33)) :args ((or _let_23 (not _let_32) (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_33 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_25 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_31 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_65 (not _let_67)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_65 false _let_48 false _let_67)) :args (_let_31 false _let_65)) (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_25 _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_29 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_38 (not _let_41)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_45)) _let_44 :args (_let_41 false _let_42)) :args (_let_38 false _let_39 false _let_41)) :args (_let_29 false _let_38)) (CNF_OR_NEG :args (_let_26 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_34)) :args ((or _let_24 _let_26))) :args (_let_26 true _let_32 false _let_33 false _let_30 false _let_31 false _let_28 false _let_29 true _let_23 false _let_24)) :args ((not _let_21) true _let_27 false _let_26)))) (let ((_let_75 (tptp.sdtasdt0 tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_5))) (let ((_let_77 (and _let_37 (or _let_76 (tptp.aElementOf0 _let_75 tptp.xI))))) (let ((_let_78 (or _let_40 _let_77))) (let ((_let_79 (and _let_35 _let_62))) (let ((_let_80 (= _let_19 _let_79))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_20 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_34)) :args ((or _let_19 _let_21))) _let_74 :args (_let_19 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_80 false _let_2)) :args (_let_79 false _let_19 false _let_80)))) (let ((_let_82 (not _let_79))) (let ((_let_83 (and _let_64 (or _let_76 (tptp.aElementOf0 _let_75 tptp.xJ))))) (let ((_let_84 (or _let_66 _let_83))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_7 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 1)) :args ((or _let_62 _let_82))) _let_81 :args (_let_62 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_83 0)) :args ((or _let_64 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_66 _let_83 (not _let_84)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_70)) _let_69 :args (_let_84 false _let_68)) :args (_let_83 false _let_48 false _let_84)) :args (_let_64 false _let_83)) :args (_let_7 false _let_62 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_8 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 0)) :args ((or _let_35 _let_82))) _let_81 :args (_let_35 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 0)) :args ((or _let_37 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_40 _let_77 (not _let_78)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_45)) _let_44 :args (_let_78 false _let_42)) :args (_let_77 false _let_39 false _let_78)) :args (_let_37 false _let_77)) :args (_let_8 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_11)) :args ((or _let_10 _let_12 (not _let_11)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) _let_74 :args ((not _let_10) true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_11 false _let_2)) :args (_let_12 true _let_10 false _let_11)) :args (false false _let_7 false _let_8 true _let_9)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_5 (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)))))))))) (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))))))))) (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))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtpldt1 W0 W1)))) _let_4 _let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.73 )
% 0.22/0.73 % SZS output end Proof for RNG093+2
% 0.22/0.73 % cvc5---1.0.5 exiting
% 0.22/0.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------