TSTP Solution File: RNG077+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG077+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 1.00s 1.20s
% Output : Proof 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG077+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n007.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 02:02:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 1.00/1.20 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GB6l5D8eQ2/cvc5---1.0.5_12227.p...
% 1.00/1.20 ------- get file name : TPTP file name is RNG077+2
% 1.00/1.20 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12227.smt2...
% 1.00/1.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.00/1.20 % SZS status Theorem for RNG077+2
% 1.00/1.20 % SZS output start Proof for RNG077+2
% 1.00/1.20 (
% 1.00/1.20 (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 _let_3 (tptp.sdtpldt0 _let_2 _let_1)))) (let ((_let_5 (tptp.sdtpldt0 tptp.xP tptp.xP))) (let ((_let_6 (tptp.sdtpldt0 _let_5 _let_1))) (let ((_let_7 (= _let_6 _let_4))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.sdtpldt0 tptp.xR tptp.xS))) (let ((_let_10 (tptp.sdtasdt0 tptp.xC tptp.xD))) (let ((_let_11 (tptp.sdtasdt0 tptp.xE tptp.xE))) (let ((_let_12 (= tptp.xP _let_3))) (let ((_let_13 (tptp.aScalar0 tptp.xP))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (tptp.sdtasdt0 tptp.xA tptp.xB))) (let ((_let_16 (= tptp.xH _let_15))) (let ((_let_17 (tptp.aScalar0 tptp.xH))) (let ((_let_18 (and _let_17 _let_16))) (let ((_let_19 (tptp.aScalar0 tptp.xE))) (let ((_let_20 (and _let_19 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq))))) (let ((_let_21 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_22 (tptp.aScalar0 tptp.xB))) (let ((_let_23 (and _let_22 (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt _let_21))))) (let ((_let_24 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_25 (tptp.aScalar0 tptp.xA))) (let ((_let_26 (and _let_25 (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs _let_24))))) (let ((_let_27 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))))) (let ((_let_28 (forall ((W0 $$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_29 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_30 (tptp.aScalar0 tptp.sz0z00))) (let ((_let_31 (tptp.sdtasdt0 tptp.xB tptp.xE))) (let ((_let_32 (= (tptp.sdtasdt0 _let_15 tptp.xE) (tptp.sdtasdt0 tptp.xA _let_31)))) (let ((_let_33 (tptp.sdtasdt0 tptp.xE tptp.xA))) (let ((_let_34 (= (tptp.sdtasdt0 _let_33 tptp.xB) (tptp.sdtasdt0 tptp.xE _let_15)))) (let ((_let_35 (tptp.sdtasdt0 tptp.xA tptp.xE))) (let ((_let_36 (= _let_33 _let_35))) (let ((_let_37 (= _let_6 (tptp.sdtpldt0 tptp.xP (tptp.sdtpldt0 tptp.xP _let_1))))) (let ((_let_38 (tptp.sdtpldt0 _let_3 _let_2))) (let ((_let_39 (= _let_4 (tptp.sdtpldt0 _let_38 _let_1)))) (let ((_let_40 (tptp.sdtpldt0 _let_2 _let_3))) (let ((_let_41 (= _let_38 _let_40))) (let ((_let_42 (= _let_2 (tptp.sdtpldt0 _let_2 tptp.sz0z00)))) (let ((_let_43 (= (tptp.sdtpldt0 _let_40 _let_1) (tptp.sdtpldt0 _let_2 (tptp.sdtpldt0 _let_3 _let_1))))) (let ((_let_44 (tptp.sdtasdt0 tptp.xE tptp.xB))) (let ((_let_45 (= (tptp.sdtasdt0 _let_35 tptp.xB) (tptp.sdtasdt0 tptp.xA _let_44)))) (let ((_let_46 (= _let_31 _let_44))) (let ((_let_47 (1))) (let ((_let_48 (ASSUME :args (_let_18)))) (let ((_let_49 (_let_14))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (AND_ELIM _let_50 :args _let_47))) (let ((_let_52 (tptp.sdtpldt0 tptp.xA tptp.xB))) (let ((_let_53 (tptp.sdtpldt0 tptp.xB tptp.xE))) (let ((_let_54 (and (= (tptp.sdtpldt0 _let_52 tptp.xE) (tptp.sdtpldt0 tptp.xA _let_53)) (= _let_52 (tptp.sdtpldt0 tptp.xB tptp.xA)) _let_32 (= _let_15 (tptp.sdtasdt0 tptp.xB tptp.xA))))) (let ((_let_55 (not _let_19))) (let ((_let_56 (not _let_22))) (let ((_let_57 (not _let_25))) (let ((_let_58 (or _let_57 _let_56 _let_55 _let_54))) (let ((_let_59 (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_60 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 (0))) (let ((_let_63 (AND_ELIM (ASSUME :args (_let_20)) :args _let_62))) (let ((_let_64 (AND_ELIM (ASSUME :args (_let_23)) :args _let_62))) (let ((_let_65 (AND_ELIM (ASSUME :args (_let_26)) :args _let_62))) (let ((_let_66 (tptp.sdtpldt0 tptp.xA tptp.xE))) (let ((_let_67 (tptp.sdtpldt0 tptp.xE tptp.xA))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (and (= (tptp.sdtpldt0 _let_67 tptp.xB) (tptp.sdtpldt0 tptp.xE _let_52)) _let_68 _let_34 _let_36))) (let ((_let_70 (or _let_55 _let_57 _let_56 _let_69))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_57 _let_56 _let_55 _let_69 (not _let_70)))) _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xE tptp.xA tptp.xB QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) :args _let_61)) _let_60 :args (_let_70 false _let_59)) :args (_let_69 false _let_25 false _let_22 false _let_19 false _let_70)))) (let ((_let_72 (not _let_69))) (let ((_let_73 (and _let_37 (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) _let_1) (tptp.sdtasdt0 tptp.xP (tptp.sdtasdt0 tptp.xP _let_1)))))) (let ((_let_74 (tptp.aScalar0 _let_1))) (let ((_let_75 (not _let_74))) (let ((_let_76 (not _let_13))) (let ((_let_77 (or _let_76 _let_76 _let_75 _let_73))) (let ((_let_78 ((tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) (let ((_let_79 (not _let_17))) (let ((_let_80 (or _let_79 _let_79 _let_74))) (let ((_let_81 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_85 (AND_ELIM _let_48 :args _let_62))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_80))) :args ((or _let_79 _let_74 (not _let_80)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.xH tptp.xH QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_80 false _let_81)) :args (_let_74 false _let_17 false _let_80)))) (let ((_let_87 (AND_ELIM _let_50 :args _let_62))) (let ((_let_88 (tptp.sdtasdt0 _let_2 _let_3))) (let ((_let_89 (tptp.sdtasdt0 _let_3 _let_2))) (let ((_let_90 (= _let_89 _let_88))) (let ((_let_91 (and _let_39 _let_41 (= (tptp.sdtasdt0 _let_89 _let_1) (tptp.sdtasdt0 _let_3 (tptp.sdtasdt0 _let_2 _let_1))) _let_90))) (let ((_let_92 (tptp.aScalar0 _let_2))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.aScalar0 _let_3))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93 _let_75 _let_91))) (let ((_let_97 ((tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (let ((_let_98 (or _let_79 _let_55 _let_92))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_55 _let_79 _let_92 (not _let_98)))) _let_63 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.xH tptp.xE QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_98 false _let_81)) :args (_let_92 false _let_19 false _let_17 false _let_98)))) (let ((_let_100 (_let_13 _let_12))) (let ((_let_101 (ASSUME :args (_let_13)))) (let ((_let_102 (ASSUME :args (_let_12)))) (let ((_let_103 (SYMM (SYMM _let_102)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args _let_49) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_102) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_103) :args (APPLY_UF tptp.aScalar0)) (TRUE_INTRO _let_101))) :args _let_100)) :args _let_100)) :args (true _let_14)) _let_87 _let_51 :args (_let_94 false _let_13 false _let_12)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_75 _let_93 _let_91 (not _let_96)))) _let_104 _let_86 _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_3 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_61))) _let_60 :args (_let_96 false _let_59)) :args (_let_91 false _let_94 false _let_74 false _let_92 false _let_96)))) (let ((_let_106 (not _let_91))) (let ((_let_107 (tptp.smndt0 _let_2))) (let ((_let_108 (and _let_42 (= _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_107)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_107 _let_2)) (= _let_2 (tptp.smndt0 _let_107)) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (let ((_let_109 (or _let_93 _let_108))) (let ((_let_110 (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_111 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (and _let_43 _let_41 (= (tptp.sdtasdt0 _let_88 _let_1) (tptp.sdtasdt0 _let_2 (tptp.sdtasdt0 _let_3 _let_1))) _let_90))) (let ((_let_113 (or _let_93 _let_95 _let_75 _let_112))) (let ((_let_114 (tptp.sdtpldt0 tptp.xE tptp.xB))) (let ((_let_115 (and (= (tptp.sdtpldt0 _let_66 tptp.xB) (tptp.sdtpldt0 tptp.xA _let_114)) _let_68 _let_45 _let_36))) (let ((_let_116 (or _let_57 _let_55 _let_56 _let_115))) (let ((_let_117 (and (= (tptp.sdtpldt0 _let_53 tptp.sz0z00) (tptp.sdtpldt0 tptp.xB (tptp.sdtpldt0 tptp.xE tptp.sz0z00))) (= _let_53 _let_114) (= (tptp.sdtasdt0 _let_31 tptp.sz0z00) (tptp.sdtasdt0 tptp.xB (tptp.sdtasdt0 tptp.xE tptp.sz0z00))) _let_46))) (let ((_let_118 (not _let_30))) (let ((_let_119 (or _let_56 _let_55 _let_118 _let_117))) (let ((_let_120 (and _let_16 _let_12 _let_37 _let_41 _let_39 _let_32 _let_34 _let_36 _let_42 _let_43 _let_45 _let_46))) (let ((_let_121 (ASSUME :args (_let_39)))) (let ((_let_122 (APPLY_UF tptp.sdtpldt0))) (let ((_let_123 (REFL :args (_let_1)))) (let ((_let_124 (ASSUME :args (_let_41)))) (let ((_let_125 (ASSUME :args (_let_43)))) (let ((_let_126 (ASSUME :args (_let_42)))) (let ((_let_127 (APPLY_UF tptp.sdtasdt0))) (let ((_let_128 (REFL :args (tptp.xE)))) (let ((_let_129 (ASSUME :args (_let_16)))) (let ((_let_130 (ASSUME :args (_let_32)))) (let ((_let_131 (ASSUME :args (_let_46)))) (let ((_let_132 (ASSUME :args (_let_45)))) (let ((_let_133 (ASSUME :args (_let_36)))) (let ((_let_134 (ASSUME :args (_let_34)))) (let ((_let_135 (ASSUME :args (_let_37)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_121 _let_124 _let_125 _let_126 _let_129 _let_130 _let_131 _let_132 _let_133 _let_134 _let_102 _let_135) (SCOPE (TRANS (SYMM (SYMM _let_135)) (CONG (TRANS (TRANS _let_103 (CONG _let_128 _let_129 :args _let_127) (SYMM _let_134) (CONG (SYMM (SYMM _let_133)) (REFL :args (tptp.xB)) :args _let_127) (SYMM (SYMM _let_132)) (CONG (REFL :args (tptp.xA)) (SYMM _let_131) :args _let_127) (SYMM _let_130) (CONG (SYMM _let_129) _let_128 :args _let_127) _let_126) (SYMM _let_126)) (CONG _let_103 _let_123 :args _let_122) :args _let_122) (SYMM _let_125) (CONG (SYMM _let_124) _let_123 :args _let_122) (SYMM _let_121)) :args (_let_39 _let_41 _let_43 _let_42 _let_16 _let_32 _let_46 _let_45 _let_36 _let_34 _let_12 _let_37))) :args (_let_16 _let_12 _let_37 _let_41 _let_39 _let_32 _let_34 _let_36 _let_42 _let_43 _let_45 _let_46))) :args (true _let_120)) :args ((or _let_7 (not _let_16) (not _let_12) (not _let_37) (not _let_39) (not _let_41) (not _let_32) (not _let_34) (not _let_36) (not _let_42) (not _let_43) (not _let_45) (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_117 3)) :args ((or _let_46 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_118 _let_56 _let_55 _let_117 (not _let_119)))) (ASSUME :args (_let_30)) _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xB tptp.xE tptp.sz0z00 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_61)) _let_60 :args (_let_119 false _let_59)) :args (_let_117 false _let_30 false _let_22 false _let_19 false _let_119)) :args (_let_46 false _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_115 2)) :args ((or _let_45 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_57 _let_56 _let_55 _let_115 (not _let_116)))) _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xA tptp.xE tptp.xB QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_61))) _let_60 :args (_let_116 false _let_59)) :args (_let_115 false _let_25 false _let_22 false _let_19 false _let_116)) :args (_let_45 false _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_112 0)) :args ((or _let_43 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_95 _let_75 _let_93 _let_112 (not _let_113)))) _let_104 _let_86 _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_2 _let_3 _let_1 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_61))) _let_60 :args (_let_113 false _let_59)) :args (_let_112 false _let_94 false _let_74 false _let_92 false _let_113)) :args (_let_43 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 0)) :args ((or _let_42 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_93 _let_108 (not _let_109)))) _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aScalar0 W0) false))))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) :args (_let_108 false _let_92 false _let_109)) :args (_let_42 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_91 1)) :args ((or _let_41 _let_106))) _let_105 :args (_let_41 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_91 0)) :args ((or _let_39 _let_106))) _let_105 :args (_let_39 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 0)) :args ((or _let_37 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_77))) :args ((or _let_76 _let_75 _let_73 (not _let_77)))) _let_87 _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xP tptp.xP _let_1 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_61))) _let_60 :args (_let_77 false _let_59)) :args (_let_73 false _let_13 false _let_74 false _let_77)) :args (_let_37 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_69 3)) :args ((or _let_36 _let_72))) _let_71 :args (_let_36 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_69 2)) :args ((or _let_34 _let_72))) _let_71 :args (_let_34 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 2)) :args ((or _let_32 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_56 _let_55 _let_54 (not _let_58)))) _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xA tptp.xB tptp.xE QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_54 false _let_25 false _let_22 false _let_19 false _let_58)) :args (_let_32 false _let_54)) (ASSUME :args (_let_8)) _let_51 (AND_ELIM _let_48 :args _let_47) :args (false false _let_46 false _let_45 false _let_43 false _let_42 false _let_41 false _let_39 false _let_37 false _let_36 false _let_34 false _let_32 true _let_7 false _let_12 false _let_16)) :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)) _let_30 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))) _let_29 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))) _let_28 _let_27 (forall ((W0 $$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 $$unsorted)) (let ((_let_1 (tptp.sdtasasdt0 W0 W1))) (let ((_let_2 (tptp.aDimensionOf0 W0))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= _let_2 (tptp.aDimensionOf0 W1)) (=> (tptp.iLess0 _let_2 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 _let_1 _let_1) (tptp.sdtasdt0 (tptp.sdtasasdt0 W0 W0) (tptp.sdtasasdt0 W1 W1))))))))) (= _let_24 _let_21) (not (= _let_24 tptp.sz00)) (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) _let_24) (forall ((W0 $$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))) _let_26 _let_23 (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_20 (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_18 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG))) _let_14 (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_11 _let_10) (tptp.sdtlseqdt0 _let_5 _let_9) (tptp.sdtlseqdt0 (tptp.sdtpldt0 _let_11 _let_6) (tptp.sdtpldt0 _let_10 (tptp.sdtpldt0 _let_9 _let_1))) _let_8 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.00/1.20 )
% 1.00/1.20 % SZS output end Proof for RNG077+2
% 1.00/1.20 % cvc5---1.0.5 exiting
% 1.00/1.21 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------