TSTP Solution File: RNG077+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 13:49:53 EDT 2023
% Result : Theorem 0.90s 1.15s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 03:27:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.90/1.15 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Zmbc6eO9PM/cvc5---1.0.5_5311.p...
% 0.90/1.15 ------- get file name : TPTP file name is RNG077+1
% 0.90/1.15 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5311.smt2...
% 0.90/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.90/1.15 % SZS status Theorem for RNG077+1
% 0.90/1.15 % SZS output start Proof for RNG077+1
% 0.90/1.15 (
% 0.90/1.15 (let ((_let_1 (tptp.sdtasdt0 tptp.xH tptp.xH))) (let ((_let_2 (tptp.sdtasdt0 tptp.xH tptp.xE))) (let ((_let_3 (tptp.sdtasdt0 tptp.xE tptp.xH))) (let ((_let_4 (tptp.sdtpldt0 tptp.xP tptp.xP))) (let ((_let_5 (tptp.sdtpldt0 _let_4 _let_1))) (let ((_let_6 (= _let_5 (tptp.sdtpldt0 _let_3 (tptp.sdtpldt0 _let_2 _let_1))))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.sdtpldt0 tptp.xR tptp.xS))) (let ((_let_9 (tptp.sdtasdt0 tptp.xC tptp.xD))) (let ((_let_10 (tptp.sdtasdt0 tptp.xE tptp.xE))) (let ((_let_11 (= tptp.xP _let_3))) (let ((_let_12 (tptp.aScalar0 tptp.xP))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (tptp.sdtasdt0 tptp.xA tptp.xB))) (let ((_let_15 (= tptp.xH _let_14))) (let ((_let_16 (tptp.aScalar0 tptp.xH))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (tptp.aScalar0 tptp.xE))) (let ((_let_19 (and _let_18 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq))))) (let ((_let_20 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_21 (tptp.aScalar0 tptp.xB))) (let ((_let_22 (and _let_21 (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt _let_20))))) (let ((_let_23 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_24 (tptp.aScalar0 tptp.xA))) (let ((_let_25 (and _let_24 (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs _let_23))))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))))) (let ((_let_27 (forall ((W0 $$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 ((_let_28 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_29 (tptp.sdtasdt0 tptp.xE tptp.xA))) (let ((_let_30 (= (tptp.sdtasdt0 _let_29 tptp.xB) (tptp.sdtasdt0 tptp.xE _let_14)))) (let ((_let_31 (tptp.sdtasdt0 tptp.xA tptp.xE))) (let ((_let_32 (= _let_29 _let_31))) (let ((_let_33 (= (tptp.sdtasdt0 _let_14 tptp.xH) (tptp.sdtasdt0 tptp.xA (tptp.sdtasdt0 tptp.xB tptp.xH))))) (let ((_let_34 (tptp.sdtasdt0 tptp.xB tptp.xE))) (let ((_let_35 (= (tptp.sdtasdt0 _let_14 tptp.xE) (tptp.sdtasdt0 tptp.xA _let_34)))) (let ((_let_36 (= _let_5 (tptp.sdtpldt0 tptp.xP (tptp.sdtpldt0 tptp.xP _let_1))))) (let ((_let_37 (= _let_2 (tptp.sdtpldt0 _let_2 tptp.sz0z00)))) (let ((_let_38 (tptp.sdtasdt0 tptp.xE tptp.xB))) (let ((_let_39 (= _let_34 _let_38))) (let ((_let_40 (= (tptp.sdtasdt0 _let_31 tptp.xB) (tptp.sdtasdt0 tptp.xA _let_38)))) (let ((_let_41 (1))) (let ((_let_42 (ASSUME :args (_let_17)))) (let ((_let_43 (ASSUME :args (_let_13)))) (let ((_let_44 (tptp.sdtpldt0 tptp.xA tptp.xE))) (let ((_let_45 (tptp.sdtpldt0 tptp.xE tptp.xA))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (tptp.sdtpldt0 tptp.xA tptp.xB))) (let ((_let_48 (and (= (tptp.sdtpldt0 _let_45 tptp.xB) (tptp.sdtpldt0 tptp.xE _let_47)) _let_46 _let_30 _let_32))) (let ((_let_49 (not _let_21))) (let ((_let_50 (not _let_24))) (let ((_let_51 (not _let_18))) (let ((_let_52 (or _let_51 _let_50 _let_49 _let_48))) (let ((_let_53 (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_54 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (let ((_let_57 (0))) (let ((_let_58 (AND_ELIM (ASSUME :args (_let_19)) :args _let_57))) (let ((_let_59 (AND_ELIM (ASSUME :args (_let_22)) :args _let_57))) (let ((_let_60 (AND_ELIM (ASSUME :args (_let_25)) :args _let_57))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_50 _let_49 _let_51 _let_48 (not _let_52)))) _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xE tptp.xA tptp.xB QUANTIFIERS_INST_E_MATCHING _let_56)) :args _let_55)) _let_54 :args (_let_52 false _let_53)) :args (_let_48 false _let_24 false _let_21 false _let_18 false _let_52)))) (let ((_let_62 (not _let_48))) (let ((_let_63 (tptp.sdtasdt0 tptp.xB tptp.xA))) (let ((_let_64 (= _let_14 _let_63))) (let ((_let_65 (tptp.sdtpldt0 tptp.xB tptp.xA))) (let ((_let_66 (= _let_47 _let_65))) (let ((_let_67 (and (= (tptp.sdtpldt0 _let_47 tptp.xH) (tptp.sdtpldt0 tptp.xA (tptp.sdtpldt0 tptp.xB tptp.xH))) _let_66 _let_33 _let_64))) (let ((_let_68 (not _let_16))) (let ((_let_69 (or _let_50 _let_49 _let_68 _let_67))) (let ((_let_70 ((tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) (let ((_let_71 (AND_ELIM _let_42 :args _let_57))) (let ((_let_72 (tptp.sdtpldt0 tptp.xB tptp.xE))) (let ((_let_73 (and (= (tptp.sdtpldt0 _let_47 tptp.xE) (tptp.sdtpldt0 tptp.xA _let_72)) _let_66 _let_35 _let_64))) (let ((_let_74 (or _let_50 _let_49 _let_51 _let_73))) (let ((_let_75 (and _let_36 (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) _let_1) (tptp.sdtasdt0 tptp.xP (tptp.sdtasdt0 tptp.xP _let_1)))))) (let ((_let_76 (tptp.aScalar0 _let_1))) (let ((_let_77 (not _let_76))) (let ((_let_78 (not _let_12))) (let ((_let_79 (or _let_78 _let_78 _let_77 _let_75))) (let ((_let_80 ((tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) (let ((_let_81 (or _let_68 _let_68 _let_76))) (let ((_let_82 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_82))) (let ((_let_85 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_86 (tptp.smndt0 _let_2))) (let ((_let_87 (and _let_37 (= _let_2 (tptp.sdtpldt0 tptp.sz0z00 _let_2)) (= tptp.sz0z00 (tptp.sdtasdt0 _let_2 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 _let_2)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_2 _let_86)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_86 _let_2)) (= _let_2 (tptp.smndt0 _let_86)) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (let ((_let_88 (tptp.aScalar0 _let_2))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87))) (let ((_let_91 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (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)) (= W0 (tptp.smndt0 _let_1)) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (or _let_68 _let_51 _let_88))) (let ((_let_94 (tptp.sdtpldt0 tptp.xE tptp.xB))) (let ((_let_95 (and (= (tptp.sdtpldt0 _let_94 tptp.xA) (tptp.sdtpldt0 tptp.xE _let_65)) (= _let_72 _let_94) (= (tptp.sdtasdt0 _let_38 tptp.xA) (tptp.sdtasdt0 tptp.xE _let_63)) _let_39))) (let ((_let_96 (or _let_51 _let_49 _let_50 _let_95))) (let ((_let_97 (and (= (tptp.sdtpldt0 _let_44 tptp.xB) (tptp.sdtpldt0 tptp.xA _let_94)) _let_46 _let_40 _let_32))) (let ((_let_98 (or _let_50 _let_51 _let_49 _let_97))) (let ((_let_99 (and _let_15 _let_11 _let_30 _let_32 _let_36 _let_33 _let_35 _let_37 _let_39 _let_40))) (let ((_let_100 (APPLY_UF tptp.sdtpldt0))) (let ((_let_101 (APPLY_UF tptp.sdtasdt0))) (let ((_let_102 (ASSUME :args (_let_15)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (ASSUME :args (_let_33)))) (let ((_let_105 (TRANS (SYMM _let_104) (CONG _let_103 (REFL :args (tptp.xH)) :args _let_101)))) (let ((_let_106 (REFL :args (tptp.xE)))) (let ((_let_107 (CONG _let_103 _let_106 :args _let_101))) (let ((_let_108 (ASSUME :args (_let_35)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (TRANS _let_109 _let_107))) (let ((_let_111 (ASSUME :args (_let_37)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (ASSUME :args (_let_39)))) (let ((_let_114 (ASSUME :args (_let_40)))) (let ((_let_115 (ASSUME :args (_let_32)))) (let ((_let_116 (ASSUME :args (_let_30)))) (let ((_let_117 (ASSUME :args (_let_11)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (SYMM _let_118))) (let ((_let_120 (TRANS _let_119 (CONG _let_106 _let_102 :args _let_101) (SYMM _let_116) (CONG (SYMM (SYMM _let_115)) (REFL :args (tptp.xB)) :args _let_101) (SYMM (SYMM _let_114)) (CONG (REFL :args (tptp.xA)) (SYMM _let_113) :args _let_101) _let_109 _let_107 _let_111))) (let ((_let_121 (CONG _let_118 (REFL :args (_let_1)) :args _let_100))) (let ((_let_122 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_99)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_102 _let_116 _let_115 _let_114 _let_113 _let_108 _let_111 _let_104 _let_122) (SCOPE (TRANS (SYMM (SYMM _let_122)) (CONG (TRANS _let_120 _let_112) (SYMM _let_121) :args _let_100) (CONG (TRANS _let_111 (SYMM _let_120) _let_119) (TRANS _let_121 (CONG (TRANS _let_120 _let_112 (SYMM _let_110)) (SYMM _let_105) :args _let_100) (CONG _let_110 _let_105 :args _let_100)) :args _let_100)) :args (_let_11 _let_15 _let_30 _let_32 _let_40 _let_39 _let_35 _let_37 _let_33 _let_36))) :args (_let_15 _let_11 _let_30 _let_32 _let_36 _let_33 _let_35 _let_37 _let_39 _let_40))) :args (true _let_99)) :args ((or _let_6 (not _let_15) (not _let_11) (not _let_30) (not _let_32) (not _let_36) (not _let_33) (not _let_35) (not _let_37) (not _let_39) (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 2)) :args ((or _let_40 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_50 _let_49 _let_51 _let_97 (not _let_98)))) _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xA tptp.xE tptp.xB QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_55))) _let_54 :args (_let_98 false _let_53)) :args (_let_97 false _let_24 false _let_21 false _let_18 false _let_98)) :args (_let_40 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_95 3)) :args ((or _let_39 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_50 _let_49 _let_51 _let_95 (not _let_96)))) _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xE tptp.xB tptp.xA QUANTIFIERS_INST_E_MATCHING _let_56)) :args _let_55))) _let_54 :args (_let_96 false _let_53)) :args (_let_95 false _let_24 false _let_21 false _let_18 false _let_96)) :args (_let_39 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 0)) :args ((or _let_37 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_87 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_51 _let_68 _let_88 (not _let_93)))) _let_58 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.xH tptp.xE QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_93 false _let_82)) :args (_let_88 false _let_18 false _let_16 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aScalar0 W0) false))))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_87 false _let_88 false _let_90)) :args (_let_37 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 0)) :args ((or _let_36 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_79))) :args ((or _let_78 _let_77 _let_75 (not _let_79)))) (AND_ELIM _let_43 :args _let_57) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_81))) :args ((or _let_68 _let_76 (not _let_81)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.xH tptp.xH QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_81 false _let_82)) :args (_let_76 false _let_16 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xP tptp.xP _let_1 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_55))) _let_54 :args (_let_79 false _let_53)) :args (_let_75 false _let_12 false _let_76 false _let_79)) :args (_let_36 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 2)) :args ((or _let_35 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_50 _let_49 _let_51 _let_73 (not _let_74)))) _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xA tptp.xB tptp.xE QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_55)) _let_54 :args (_let_74 false _let_53)) :args (_let_73 false _let_24 false _let_21 false _let_18 false _let_74)) :args (_let_35 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 2)) :args ((or _let_33 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_50 _let_49 _let_68 _let_67 (not _let_69)))) _let_60 _let_59 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xA tptp.xB tptp.xH QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_55)) _let_54 :args (_let_69 false _let_53)) :args (_let_67 false _let_24 false _let_21 false _let_16 false _let_69)) :args (_let_33 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_48 3)) :args ((or _let_32 _let_62))) _let_61 :args (_let_32 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_48 2)) :args ((or _let_30 _let_62))) _let_61 :args (_let_30 false _let_48)) (ASSUME :args (_let_7)) (AND_ELIM _let_43 :args _let_41) (AND_ELIM _let_42 :args _let_41) :args (false false _let_40 false _let_39 false _let_37 false _let_36 false _let_35 false _let_33 false _let_32 false _let_30 true _let_6 false _let_11 false _let_15)) :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) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))) _let_28 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))) _let_27 _let_26 (forall ((W0 $$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_23 _let_20) (not (= _let_23 tptp.sz00)) (and (tptp.aVector0 tptp.xp) (= tptp.xp (tptp.sziznziztdt0 tptp.xs))) (and (tptp.aVector0 tptp.xq) (= tptp.xq (tptp.sziznziztdt0 tptp.xt))) _let_25 _let_22 (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))) _let_19 (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))) _let_17 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG))) _let_13 (and (tptp.aScalar0 tptp.xS) (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD))) (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) (tptp.sdtlseqdt0 _let_10 _let_9) (tptp.sdtlseqdt0 _let_4 _let_8) (tptp.sdtlseqdt0 (tptp.sdtpldt0 _let_10 _let_5) (tptp.sdtpldt0 _let_9 (tptp.sdtpldt0 _let_8 _let_1))) _let_7 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.90/1.16 )
% 0.90/1.16 % SZS output end Proof for RNG077+1
% 0.90/1.16 % cvc5---1.0.5 exiting
% 0.90/1.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------