TSTP Solution File: RNG062+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG062+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 13:49:46 EDT 2023
% Result : Theorem 1.12s 1.34s
% Output : Proof 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG062+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 02:03:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 1.12/1.34 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DpsSREd6co/cvc5---1.0.5_10128.p...
% 1.12/1.34 ------- get file name : TPTP file name is RNG062+2
% 1.12/1.34 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10128.smt2...
% 1.12/1.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.12/1.34 % SZS status Theorem for RNG062+2
% 1.12/1.34 % SZS output start Proof for RNG062+2
% 1.12/1.34 (
% 1.12/1.34 (let ((_let_1 (tptp.smndt0 tptp.xN))) (let ((_let_2 (tptp.sdtasdt0 tptp.xS tptp.xS))) (let ((_let_3 (tptp.sdtasdt0 tptp.xR tptp.xR))) (let ((_let_4 (tptp.sdtpldt0 _let_3 _let_2))) (let ((_let_5 (tptp.sdtpldt0 _let_4 _let_1))) (let ((_let_6 (tptp.smndt0 tptp.xS))) (let ((_let_7 (tptp.sdtpldt0 tptp.xR _let_6))) (let ((_let_8 (tptp.sdtasdt0 _let_7 _let_7))) (let ((_let_9 (= _let_8 (tptp.sdtpldt0 _let_5 _let_1)))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.sdtpldt0 _let_2 _let_1))) (let ((_let_12 (tptp.sdtpldt0 _let_3 _let_1))) (let ((_let_13 (tptp.sdtpldt0 _let_12 _let_11))) (let ((_let_14 (= _let_8 _let_13))) (let ((_let_15 (tptp.aScalar0 tptp.xN))) (let ((_let_16 (and _let_15 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))))) (let ((_let_17 (tptp.aScalar0 tptp.xS))) (let ((_let_18 (and _let_17 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD))))) (let ((_let_19 (tptp.aScalar0 tptp.xR))) (let ((_let_20 (and _let_19 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG))))) (let ((_let_21 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_22 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_23 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))))) (let ((_let_24 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_27 (tptp.sdtpldt0 _let_2 _let_3))) (let ((_let_28 (= _let_4 _let_27))) (let ((_let_29 (tptp.sdtpldt0 _let_12 _let_2))) (let ((_let_30 (= _let_13 (tptp.sdtpldt0 _let_29 _let_1)))) (let ((_let_31 (tptp.sdtpldt0 _let_2 _let_12))) (let ((_let_32 (= _let_29 _let_31))) (let ((_let_33 (= _let_31 (tptp.sdtpldt0 _let_27 _let_1)))) (let ((_let_34 (ASSUME :args (_let_14)))) (let ((_let_35 (tptp.sdtasdt0 _let_2 _let_3))) (let ((_let_36 (tptp.sdtasdt0 _let_3 _let_2))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (tptp.sdtasdt0 _let_2 _let_1))) (let ((_let_39 (and (= _let_5 (tptp.sdtpldt0 _let_3 _let_11)) _let_28 (= (tptp.sdtasdt0 _let_36 _let_1) (tptp.sdtasdt0 _let_3 _let_38)) _let_37))) (let ((_let_40 (tptp.aScalar0 _let_1))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.aScalar0 _let_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.aScalar0 _let_3))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_41 _let_39))) (let ((_let_47 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) (let ((_let_51 (not _let_19))) (let ((_let_52 (or _let_51 _let_51 _let_44))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_57 (0))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_52))) :args ((or _let_51 _let_44 (not _let_52)))) (AND_ELIM (ASSUME :args (_let_20)) :args _let_57) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xR tptp.xR QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_52 false _let_53)) :args (_let_44 false _let_19 false _let_52)))) (let ((_let_59 (not _let_17))) (let ((_let_60 (or _let_59 _let_59 _let_42))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_60))) :args ((or _let_59 _let_42 (not _let_60)))) (AND_ELIM (ASSUME :args (_let_18)) :args _let_57) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xS tptp.xS QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_60 false _let_53)) :args (_let_42 false _let_17 false _let_60)))) (let ((_let_62 (not _let_15))) (let ((_let_63 (or _let_62 _let_40))) (let ((_let_64 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_40 (not _let_63)))) (AND_ELIM (ASSUME :args (_let_16)) :args _let_57) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.xN QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smndt0 W0)))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_40 false _let_15 false _let_63)))) (let ((_let_67 (tptp.sdtasdt0 _let_12 _let_2))) (let ((_let_68 (and _let_30 _let_32 (= (tptp.sdtasdt0 _let_67 _let_1) (tptp.sdtasdt0 _let_12 _let_38)) (= _let_67 (tptp.sdtasdt0 _let_2 _let_12))))) (let ((_let_69 (tptp.aScalar0 _let_12))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_43 _let_41 _let_68))) (let ((_let_72 (or _let_45 _let_41 _let_69))) (let ((_let_73 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_41 _let_43 _let_70 _let_68 (not _let_71)))) _let_66 _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_41 _let_45 _let_69 (not _let_72)))) _let_66 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_69 false _let_40 false _let_44 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_12 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) :args _let_49))) _let_48 :args (_let_71 false _let_47)) :args (_let_68 false _let_40 false _let_42 false _let_69 false _let_71)))) (let ((_let_76 (not _let_68))) (let ((_let_77 (and _let_33 _let_28 (= (tptp.sdtasdt0 _let_35 _let_1) (tptp.sdtasdt0 _let_2 (tptp.sdtasdt0 _let_3 _let_1))) _let_37))) (let ((_let_78 (or _let_43 _let_45 _let_41 _let_77))) (let ((_let_79 (and _let_14 _let_28 _let_32 _let_30 _let_33))) (let ((_let_80 (APPLY_UF tptp.sdtpldt0))) (let ((_let_81 (REFL :args (_let_1)))) (let ((_let_82 (ASSUME :args (_let_28)))) (let ((_let_83 (ASSUME :args (_let_33)))) (let ((_let_84 (ASSUME :args (_let_32)))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_83 _let_84 _let_87 _let_34) (SCOPE (TRANS (SYMM (SYMM _let_34)) (SYMM (SYMM _let_87)) (CONG _let_86 _let_81 :args _let_80) (CONG (TRANS _let_85 (TRANS _let_86 (SYMM (SYMM _let_83)) (CONG (SYMM _let_82) _let_81 :args _let_80))) _let_81 :args _let_80)) :args (_let_28 _let_33 _let_32 _let_30 _let_14))) :args (_let_14 _let_28 _let_32 _let_30 _let_33))) :args (true _let_79)) :args ((or _let_9 (not _let_14) (not _let_28) (not _let_30) (not _let_32) (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 0)) :args ((or _let_33 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_41 _let_43 _let_45 _let_77 (not _let_78)))) _let_66 _let_61 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_2 _let_3 _let_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49))) _let_48 :args (_let_78 false _let_47)) :args (_let_77 false _let_40 false _let_42 false _let_44 false _let_78)) :args (_let_33 false _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 1)) :args ((or _let_32 _let_76))) _let_75 :args (_let_32 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 0)) :args ((or _let_30 _let_76))) _let_75 :args (_let_30 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_28 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_41 _let_43 _let_45 _let_39 (not _let_46)))) _let_66 _let_61 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_3 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (_let_39 false _let_40 false _let_42 false _let_44 false _let_46)) :args (_let_28 false _let_39)) (ASSUME :args (_let_10)) _let_34 :args (false false _let_33 false _let_32 false _let_30 false _let_28 true _let_9 false _let_14)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szszuzczcdt0 W0))) (=> (tptp.aNaturalNumber0 W0) (and (tptp.aNaturalNumber0 _let_1) (not (= _let_1 tptp.sz00)))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= W0 (tptp.szszuzczcdt0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) true)) (tptp.aScalar0 tptp.sz0z00) _let_26 _let_25 _let_24 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 _let_1) tptp.sz0z00) (= (tptp.sdtpldt0 _let_1 W0) tptp.sz0z00) (= (tptp.smndt0 _let_1) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) _let_23 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W2 W3)) (tptp.sdtpldt0 (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W0 W3)) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W2) (tptp.sdtasdt0 W1 W3)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) _let_1) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) _let_1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 tptp.sz0z00 W2) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W3))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1) (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aScalar0 (tptp.sdtlbdtrb0 W0 W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (=> (not (= (tptp.aDimensionOf0 W0) tptp.sz00)) (forall ((W1 $$unsorted)) (= (= W1 (tptp.sziznziztdt0 W0)) (and (tptp.aVector0 W1) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 W1)) (tptp.aDimensionOf0 W0)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtlbdtrb0 W1 W2) (tptp.sdtlbdtrb0 W0 W2)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.aDimensionOf0 W1))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) _let_1) (not (= _let_1 tptp.sz00))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 W0)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 W1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (tptp.aScalar0 (tptp.sdtasasdt0 W0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.aDimensionOf0 W1))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) _let_1) (= _let_1 tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.aDimensionOf0 W1))) (let ((_let_2 (tptp.aDimensionOf0 W0))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= _let_2 _let_1) (not (= _let_1 tptp.sz00))) (= (tptp.sdtasasdt0 W0 W1) (tptp.sdtpldt0 (tptp.sdtasasdt0 (tptp.sziznziztdt0 W0) (tptp.sziznziztdt0 W1)) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 W0 _let_2) (tptp.sdtlbdtrb0 W1 _let_1))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))) (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt)) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.sdtasasdt0 W0 W1))) (let ((_let_2 (tptp.aDimensionOf0 W0))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= _let_2 (tptp.aDimensionOf0 W1)) (=> (tptp.iLess0 _let_2 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 _let_1 _let_1) (tptp.sdtasdt0 (tptp.sdtasasdt0 W0 W0) (tptp.sdtasasdt0 W1 W1))))))))) (= _let_22 _let_21) (not (= _let_22 tptp.sz00)) (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) _let_22) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xp W0) (tptp.sdtlbdtrb0 tptp.xs W0)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs))) (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) _let_21) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xq W0) (tptp.sdtlbdtrb0 tptp.xt W0)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt))) (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs _let_22))) (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt _let_21))) (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp))) (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq))) (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq))) (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA))) (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB))) (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB))) _let_20 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH))) _let_18 _let_16 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN) (and (= (tptp.sdtasdt0 tptp.xR _let_6) _let_1) (= (tptp.sdtasdt0 _let_6 tptp.xR) _let_1) (= (tptp.sdtasdt0 _let_6 _let_6) _let_2)) (= _let_8 (tptp.sdtpldt0 _let_12 (tptp.sdtpldt0 _let_1 _let_2))) _let_14 _let_10 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.12/1.35 )
% 1.12/1.35 % SZS output end Proof for RNG062+2
% 1.12/1.35 % cvc5---1.0.5 exiting
% 1.12/1.35 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------