TSTP Solution File: RNG075+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG075+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 13:49:52 EDT 2023

% Result   : Theorem 54.84s 55.07s
% Output   : Proof 54.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG075+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 02:02:39 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 54.84/55.07  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.86xM1EoFNP/cvc5---1.0.5_15658.p...
% 54.84/55.07  ------- get file name : TPTP file name is RNG075+2
% 54.84/55.07  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15658.smt2...
% 54.84/55.07  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 54.84/55.07  --- Run --no-e-matching --full-saturate-quant at 5...
% 54.84/55.07  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 54.84/55.07  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 54.84/55.07  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 54.84/55.07  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 54.84/55.07  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 54.84/55.07  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 54.84/55.07  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 54.84/55.07  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.84/55.07  % SZS status Theorem for RNG075+2
% 54.84/55.07  % SZS output start Proof for RNG075+2
% 54.84/55.07  (
% 54.84/55.07  (let ((_let_1 (tptp.sdtpldt0 tptp.xE tptp.xH))) (let ((_let_2 (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 _let_1 _let_1) (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xC tptp.xF) (tptp.sdtpldt0 tptp.xD tptp.xG)))))) (let ((_let_3 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)))) (let ((_let_4 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) (let ((_let_5 (and (tptp.aScalar0 tptp.xN) _let_4))) (let ((_let_6 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) (let ((_let_7 (and (tptp.aScalar0 tptp.xS) _let_6))) (let ((_let_8 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) (let ((_let_9 (and (tptp.aScalar0 tptp.xP) _let_8))) (let ((_let_10 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) (let ((_let_11 (and (tptp.aScalar0 tptp.xR) _let_10))) (let ((_let_12 (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) (let ((_let_13 (and (tptp.aScalar0 tptp.xH) _let_12))) (let ((_let_14 (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) (let ((_let_15 (and (tptp.aScalar0 tptp.xG) _let_14))) (let ((_let_16 (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) (let ((_let_17 (and (tptp.aScalar0 tptp.xF) _let_16))) (let ((_let_18 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) (let ((_let_19 (and (tptp.aScalar0 tptp.xE) _let_18))) (let ((_let_20 (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) (let ((_let_21 (and (tptp.aScalar0 tptp.xD) _let_20))) (let ((_let_22 (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) (let ((_let_23 (and (tptp.aScalar0 tptp.xC) _let_22))) (let ((_let_24 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_25 (tptp.sdtlbdtrb0 tptp.xt _let_24))) (let ((_let_26 (and (tptp.aScalar0 tptp.xB) (= tptp.xB _let_25)))) (let ((_let_27 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_28 (tptp.sdtlbdtrb0 tptp.xs _let_27))) (let ((_let_29 (and (tptp.aScalar0 tptp.xA) (= tptp.xA _let_28)))) (let ((_let_30 (tptp.sziznziztdt0 tptp.xt))) (let ((_let_31 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) _let_24) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xq W0) (tptp.sdtlbdtrb0 tptp.xt W0)))) (= tptp.xq _let_30)))) (let ((_let_32 (tptp.sziznziztdt0 tptp.xs))) (let ((_let_33 (= tptp.xp _let_32))) (let ((_let_34 (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)))) (let ((_let_35 (tptp.aVector0 tptp.xp))) (let ((_let_36 (and _let_35 (= _let_34 _let_27) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xp W0) (tptp.sdtlbdtrb0 tptp.xs W0)))) _let_33))) (let ((_let_37 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_38 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1) (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 W1)))))) (let ((_let_39 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))) (let ((_let_40 (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)))))))) (let ((_let_41 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))))) (let ((_let_42 (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))))))) (let ((_let_43 (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))))))) (let ((_let_44 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))) (let ((_let_45 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_46 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) (let ((_let_47 (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) _let_1) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) _let_1))))))) (let ((_let_48 (forall ((W0 $$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))))))))) (let ((_let_49 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))))) (let ((_let_50 (forall ((W0 $$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_51 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_52 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_54 (tptp.aScalar0 tptp.sz0z00))) (let ((_let_55 (tptp.aScalar0 _let_28))) (let ((_let_56 (tptp.sdtlseqdt0 tptp.sz0z00 _let_28))) (let ((_let_57 (tptp.sdtlseqdt0 _let_28 tptp.sz0z00))) (let ((_let_58 (not _let_54))) (let ((_let_59 (not _let_55))) (let ((_let_60 (or _let_59 _let_58 _let_57 _let_56))) (let ((_let_61 (ASSUME :args (_let_54)))) (let ((_let_62 (3))) (let ((_let_63 (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_64 (ASSUME :args (_let_36)))) (let ((_let_65 (AND_ELIM (EQ_RESOLVE _let_64 _let_63) :args _let_62))) (let ((_let_66 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args _let_62))) (let ((_let_67 (1))) (let ((_let_68 (ASSUME :args (_let_29)))) (let ((_let_69 (AND_ELIM _let_68 :args _let_67))) (let ((_let_70 (ASSUME :args (_let_26)))) (let ((_let_71 (AND_ELIM _let_70 :args _let_67))) (let ((_let_72 (ASSUME :args (_let_23)))) (let ((_let_73 (EQ_RESOLVE (AND_ELIM _let_72 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_71 _let_69 _let_66 _let_65) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (ASSUME :args (_let_21)))) (let ((_let_75 (EQ_RESOLVE (AND_ELIM _let_74 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (ASSUME :args (_let_19)))) (let ((_let_77 (EQ_RESOLVE (AND_ELIM _let_76 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (ASSUME :args (_let_17)))) (let ((_let_79 (EQ_RESOLVE (AND_ELIM _let_78 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (ASSUME :args (_let_15)))) (let ((_let_81 (EQ_RESOLVE (AND_ELIM _let_80 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (ASSUME :args (_let_13)))) (let ((_let_83 (EQ_RESOLVE (AND_ELIM _let_82 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_81 _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (ASSUME :args (_let_11)))) (let ((_let_85 (EQ_RESOLVE (AND_ELIM _let_84 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_83 _let_81 _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_9)) :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_85 _let_83 _let_81 _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (ASSUME :args (_let_7)))) (let ((_let_88 (EQ_RESOLVE (AND_ELIM _let_87 :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_86 _let_85 _let_83 _let_81 _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (AND_INTRO (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_5)) :args _let_67) (MACRO_SR_EQ_INTRO (AND_INTRO _let_88 _let_86 _let_85 _let_83 _let_81 _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65) :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_88 _let_86 _let_85 _let_83 _let_81 _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_66 _let_65))) (let ((_let_90 (EQ_RESOLVE _let_68 (MACRO_SR_EQ_INTRO _let_89 :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_28 tptp.sz0z00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_92 :args (_let_60 false _let_91)))) (let ((_let_95 (tptp.smndt0 _let_28))) (let ((_let_96 (tptp.sdtpldt0 tptp.sz0z00 _let_95))) (let ((_let_97 (tptp.sdtpldt0 _let_28 _let_95))) (let ((_let_98 (tptp.sdtlseqdt0 _let_97 _let_96))) (let ((_let_99 (tptp.sdtlseqdt0 _let_95 _let_95))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_57))) (let ((_let_102 (tptp.aScalar0 _let_95))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_59 _let_58 _let_103 _let_103 _let_101 _let_100 _let_98))) (let ((_let_105 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (not (tptp.aScalar0 W3)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3)))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_28 tptp.sz0z00 _let_95 _let_95 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) _let_106 :args (_let_104 false _let_105)))) (let ((_let_109 (= _let_95 _let_96))) (let ((_let_110 (tptp.sdtlseqdt0 tptp.sz0z00 _let_95))) (let ((_let_111 (= tptp.sz0z00 _let_97))) (let ((_let_112 (not _let_98))) (let ((_let_113 (tptp.smndt0 tptp.sz0z00))) (let ((_let_114 (= tptp.sz0z00 _let_113))) (let ((_let_115 (tptp.smndt0 _let_95))) (let ((_let_116 (tptp.sdtasdt0 tptp.sz0z00 _let_95))) (let ((_let_117 (tptp.sdtasdt0 _let_95 tptp.sz0z00))) (let ((_let_118 (and (= _let_95 (tptp.sdtpldt0 _let_95 tptp.sz0z00)) _let_109 (= tptp.sz0z00 _let_117) (= tptp.sz0z00 _let_116) (= tptp.sz0z00 (tptp.sdtpldt0 _let_95 _let_115)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_115 _let_95)) (= _let_95 (tptp.smndt0 _let_115)) _let_114))) (let ((_let_119 (or _let_103 _let_118))) (let ((_let_120 (forall ((W0 $$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_121 (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 ((tptp.sdtpldt0 W0 (tptp.smndt0 W0))))) (let ((_let_124 (or _let_59 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_let_143 :args (_let_408 false _let_142)) _let_328 _let_129 _let_266 _let_61 :args ((or _let_258 _let_134 _let_202) false _let_412 false _let_161 false _let_54 false _let_148 false _let_151 false _let_152 false _let_153 false _let_410 false _let_151 false _let_152 false _let_409 false _let_263 false _let_256 false _let_114 false _let_133 false _let_141 false _let_102 false _let_137 false _let_135 false _let_139 false _let_54 false _let_407 false _let_408 false _let_99 false _let_102 false _let_139 false _let_54)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_405)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_406 _let_372) (SCOPE (FALSE_ELIM (TRANS (CONG _let_373 (REFL :args (_let_146)) :args _let_243) (FALSE_INTRO _let_406))) :args (_let_200 _let_204))) :args (_let_204 _let_200))) :args (true _let_405)) (CONG _let_404 (MACRO_SR_PRED_INTRO :args ((= (not _let_200) _let_199))) (REFL :args (_let_403)) :args _let_235)) :args ((or _let_199 _let_358 _let_403))) _let_346 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_402)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_241 _let_246 _let_248 _let_244 _let_374) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_156)) (TRANS _let_375 _let_244) :args _let_243) _let_251 _let_242)) :args (_let_174 _let_171 _let_170 _let_185 _let_172))) :args (_let_172 _let_185 _let_171 _let_170 _let_174))) :args (true _let_402)) (CONG _let_401 _let_239 _let_238 _let_237 _let_236 (REFL :args (_let_400)) :args _let_235)) :args ((or _let_360 _let_234 _let_233 _let_173 _let_232 _let_400))) _let_230 _let_222 _let_221 _let_344 _let_309 _let_308 _let_307 _let_218 _let_61 _let_338 _let_330 _let_329 _let_377 _let_376 _let_229 _let_307 _let_218 _let_61 _let_399 _let_391 _let_292 _let_280 _let_388 _let_145 _let_129 _let_274 _let_272 _let_266 _let_61 _let_387 _let_130 _let_380 _let_379 _let_108 _let_328 _let_129 _let_90 _let_61 _let_378 _let_94 _let_90 _let_61 (MACRO_RESOLUTION_TRUST _let_377 _let_376 _let_229 _let_307 _let_218 _let_61 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_361)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_362 _let_364 _let_369 _let_366 _let_372 _let_374 _let_363) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_374 (TRANS _let_375 (SYMM _let_373) (CONG _let_371 _let_368 :args _let_245) _let_365)) (SYMM (SYMM _let_363)) :args _let_243) (TRUE_INTRO _let_362))) :args (_let_261 _let_264 _let_263 _let_114 _let_204 _let_172 _let_265))) :args (_let_114 _let_172 _let_204 _let_263 _let_265 _let_264 _let_261))) :args (true _let_361)) :args ((or _let_360 _let_359 _let_358 _let_357 (not _let_265) _let_356 _let_148 (not _let_261)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_350 1)) :args ((or _let_265 (not _let_350)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_351)) :args ((or _let_59 _let_140 _let_350 (not _let_351)))) _let_90 _let_266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_353 :args (_let_28 _let_25 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_let_143 :args (_let_259 false _let_142)) _let_324 _let_266 _let_90 _let_61 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_318)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_319 _let_299 _let_321) (SCOPE (FALSE_ELIM (TRANS (CONG _let_300 _let_322 :args _let_243) _let_320)) :args (_let_198 _let_152 _let_256))) :args (_let_256 _let_152 _let_198))) :args (true _let_318)) (CONG (REFL :args (_let_316)) (REFL :args (_let_294)) _let_317 (REFL :args (_let_315)) :args _let_235)) :args ((or _let_316 _let_197 _let_294 _let_315))) _let_292 _let_314 _let_309 _let_308 _let_307 _let_218 _let_61 _let_305 _let_292 _let_280 _let_276 _let_275 _let_274 _let_272 _let_266 _let_90 _let_61 :args ((or _let_253 _let_186) false _let_194 false _let_161 false _let_188 false _let_187 false _let_54 false _let_148 false _let_265 false _let_264 false _let_263 false _let_204 false _let_114 false _let_172 true _let_191 false _let_196 false _let_195 false _let_261 false _let_262 false _let_99 false 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(tptp.sdtpldt0 _let_281 _let_459))) (let ((_let_461 (tptp.sdtasdt0 _let_460 _let_445))) (let ((_let_462 (= _let_461 (tptp.sdtasdt0 _let_445 _let_460)))) (let ((_let_463 (= _let_435 _let_447))) (let ((_let_464 (= tptp.sz0z00 _let_459))) (let ((_let_465 (tptp.sdtasdt0 _let_460 (tptp.sdtpldt0 _let_431 _let_445)))) (let ((_let_466 (= _let_465 (tptp.sdtpldt0 (tptp.sdtasdt0 _let_460 _let_431) _let_461)))) (let ((_let_467 (tptp.sdtasdt0 _let_445 _let_281))) (let ((_let_468 (= _let_446 _let_467))) (let ((_let_469 (= _let_281 (tptp.sdtpldt0 _let_281 tptp.sz0z00)))) (let ((_let_470 (tptp.sdtlseqdt0 _let_435 _let_465))) (let ((_let_471 (not _let_448))) (let ((_let_472 (tptp.sdtpldt0 _let_460 _let_445))) (let ((_let_473 (tptp.sdtpldt0 _let_445 _let_281))) (let ((_let_474 (and (= (tptp.sdtpldt0 _let_472 _let_281) (tptp.sdtpldt0 _let_460 _let_473)) (= _let_472 (tptp.sdtpldt0 _let_445 _let_460)) (= (tptp.sdtasdt0 _let_461 _let_281) (tptp.sdtasdt0 _let_460 _let_467)) _let_462))) (let ((_let_475 (tptp.aScalar0 _let_445))) (let ((_let_476 (not _let_475))) (let ((_let_477 (tptp.aScalar0 _let_460))) (let ((_let_478 (not _let_477))) (let ((_let_479 (or _let_478 _let_476 _let_285 _let_474))) (let ((_let_480 (tptp.aScalar0 _let_459))) (let ((_let_481 (not _let_480))) (let ((_let_482 (or _let_285 _let_481 _let_477))) (let ((_let_483 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_484 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_485 (_let_483))) (let ((_let_486 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_487 (EQ_RESOLVE _let_78 (MACRO_SR_EQ_INTRO _let_89 :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_488 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_482)) :args ((or _let_285 _let_481 _let_477 (not _let_482)))) _let_291 _let_487 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (_let_281 _let_459 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_486)) :args _let_485)) _let_484 :args (_let_482 false _let_483)) :args (_let_477 false _let_284 false _let_480 false _let_482)))) (let ((_let_489 (EQ_RESOLVE _let_80 (MACRO_SR_EQ_INTRO _let_89 :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_490 (tptp.smndt0 _let_435))) (let ((_let_491 (and _let_463 (= _let_435 (tptp.sdtpldt0 tptp.sz0z00 _let_435)) (= tptp.sz0z00 (tptp.sdtasdt0 _let_435 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 _let_435)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_435 _let_490)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_490 _let_435)) (= _let_435 (tptp.smndt0 _let_490)) _let_114))) (let ((_let_492 (or _let_457 _let_491))) (let ((_let_493 (tptp.aScalar0 _let_434))) (let ((_let_494 (not _let_493))) (let ((_let_495 (or _let_494 _let_494 _let_456))) (let ((_let_496 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_497 (tptp.aScalar0 _let_433))) (let ((_let_498 (not _let_497))) (let ((_let_499 (or _let_498 _let_193 _let_493))) (let ((_let_500 (EQ_RESOLVE _let_76 (MACRO_SR_EQ_INTRO _let_89 :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_501 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_499)) :args ((or _let_498 _let_193 _let_493 (not _let_499)))) _let_500 _let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (_let_433 _let_146 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_486)) :args _let_485)) _let_484 :args (_let_499 false _let_483)) :args (_let_493 false _let_497 false _let_187 false _let_499)))) (let ((_let_502 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_495))) :args ((or _let_494 _let_456 (not _let_495)))) _let_501 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (_let_434 _let_434 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_496)) :args _let_420)) _let_419 :args (_let_495 false _let_418)) :args (_let_456 false _let_493 false _let_495)))) (let ((_let_503 (tptp.sdtasdt0 _let_459 _let_459))) (let ((_let_504 (= _let_157 _let_503))) (let ((_let_505 (not _let_504))) (let ((_let_506 (tptp.sdtlseqdt0 tptp.sz0z00 _let_459))) (let ((_let_507 (not _let_506))) (let ((_let_508 (or _let_481 _let_58 _let_507 _let_136 _let_505 _let_464))) (let ((_let_509 (= tptp.sz0z00 _let_503))) (let ((_let_510 (tptp.sdtlseqdt0 _let_503 tptp.sz0z00))) (let ((_let_511 (not _let_510))) (let ((_let_512 (tptp.sdtlseqdt0 tptp.sz0z00 _let_503))) (let ((_let_513 (not _let_512))) (let ((_let_514 (tptp.aScalar0 _let_503))) (let ((_let_515 (not _let_514))) (let ((_let_516 (or _let_58 _let_515 _let_513 _let_511 _let_509))) (let ((_let_517 (tptp.sdtasdt0 _let_459 tptp.sz0z00))) (let ((_let_518 (tptp.sdtlseqdt0 _let_503 _let_517))) (let ((_let_519 (= tptp.sz0z00 _let_517))) (let ((_let_520 (tptp.sdtlseqdt0 _let_459 tptp.sz0z00))) (let ((_let_521 (not _let_520))) (let ((_let_522 (tptp.sdtlseqdt0 _let_459 _let_459))) (let ((_let_523 (not _let_522))) (let ((_let_524 (or _let_481 _let_481 _let_481 _let_58 _let_523 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_let_169)) _let_114))) (let ((_let_677 (or _let_162 _let_676))) (let ((_let_678 (or _let_58 _let_669))) (let ((_let_679 (and _let_172 _let_153 _let_530 _let_214 _let_669 _let_464 _let_668 _let_667 _let_666 _let_152 _let_151 _let_660))) (let ((_let_680 (ASSUME :args (_let_669)))) (let ((_let_681 (ASSUME :args (_let_667)))) (let ((_let_682 (ASSUME :args (_let_660)))) (let ((_let_683 (ASSUME :args (_let_666)))) (let ((_let_684 (ASSUME :args (_let_668)))) (let ((_let_685 (SYMM (SYMM _let_684)))) (let ((_let_686 (CONG _let_300 :args _let_397))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_378 (MACRO_RESOLUTION_TRUST _let_276 _let_61 _let_90 _let_266 _let_272 _let_274 (MACRO_RESOLUTION_TRUST _let_305 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_663)) :args ((or _let_58 _let_193 _let_136 _let_200 _let_660 _let_662 (not _let_663)))) _let_61 _let_218 _let_272 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_679)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_680 _let_374 _let_302 _let_606 _let_571 _let_650 _let_681 _let_683 _let_684 _let_682 _let_299 _let_395) (SCOPE (TRUE_ELIM (TRANS (CONG _let_302 (TRANS (SYMM _let_686) _let_396) :args _let_243) (CONG _let_303 (TRANS (SYMM _let_396) _let_686 _let_685 (CONG (TRANS _let_685 (CONG (REFL :args (_let_147)) _let_606 :args _let_604) (SYMM (SYMM (SYMM _let_683)))) (SYMM (SYMM _let_682)) :args _let_604) (SYMM (SYMM _let_681)) (CONG (REFL :args (_let_459)) (SYMM (SYMM _let_651)) :args _let_604) (SYMM _let_572) _let_607 (SYMM _let_375)) :args _let_243) (TRUE_INTRO _let_680))) :args (_let_669 _let_172 _let_153 _let_464 _let_530 _let_214 _let_667 _let_666 _let_668 _let_660 _let_152 _let_151))) :args (_let_172 _let_153 _let_530 _let_214 _let_669 _let_464 _let_668 _let_667 _let_666 _let_152 _let_151 _let_660))) :args (true _let_679)) :args ((or _let_360 _let_295 _let_567 _let_644 (not _let_669) _let_600 (not _let_668) (not _let_667) (not _let_666) _let_294 _let_392 _let_148 _let_670))) _let_344 _let_280 _let_566 _let_639 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_678)) :args ((or _let_58 _let_669 (not _let_678)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (tptp.sz0z00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_678 false _let_422)) :args (_let_669 false _let_54 false _let_678)) _let_582 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_676 0)) :args ((or _let_668 (not _let_676)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_677)) :args ((or _let_162 _let_676 (not _let_677)))) _let_229 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_147 QUANTIFIERS_INST_E_MATCHING _let_123)) :args _let_122)) _let_121 :args (_let_677 false _let_120)) :args (_let_676 false _let_161 false _let_677)) :args (_let_668 false _let_676)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_672 0)) :args ((or _let_667 _let_675))) _let_674 :args (_let_667 false _let_672)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_672 1)) :args ((or _let_666 _let_675))) _let_674 :args (_let_666 false _let_672)) _let_292 _let_391 _let_659 :args (_let_670 false _let_172 false _let_153 false _let_530 false _let_214 false _let_669 false _let_464 false _let_668 false _let_667 false _let_666 false _let_152 false _let_151 true _let_148)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_664)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_429 _let_374) (SCOPE (TRANS _let_375 _let_430) :args (_let_168 _let_172))) :args (_let_172 _let_168))) :args (true _let_664)) _let_344 _let_426 :args (_let_661 false _let_172 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_146 tptp.sz0z00 QUANTIFIERS_INST_CBQI_PROP)) :args _let_166))) _let_165 :args (_let_663 false _let_164)) :args (_let_200 false _let_54 false _let_187 false _let_135 true _let_660 false _let_661 false _let_663)) _let_280 _let_292 :args (_let_293 true _let_199 false _let_153 false _let_152)) _let_275 :args (_let_253 false _let_54 false _let_55 false _let_139 false _let_135 false _let_137 true _let_252 false _let_254)) (MACRO_RESOLUTION_TRUST _let_379 _let_61 _let_90 _let_129 _let_328 (MACRO_RESOLUTION_TRUST _let_387 _let_380 (MACRO_RESOLUTION_TRUST _let_388 _let_61 _let_266 _let_272 _let_274 _let_129 (MACRO_RESOLUTION_TRUST _let_399 _let_280 _let_292 _let_391 _let_659 :args (_let_154 false _let_153 false _let_152 false _let_151 true _let_148)) _let_145 :args (_let_134 false _let_54 false _let_139 false _let_135 false _let_137 false _let_102 true _let_133 false _let_141)) _let_130 :args (_let_112 false _let_111 true _let_110 false _let_109)) _let_108 :args (_let_101 false _let_54 false _let_55 false _let_102 false _let_99 true _let_98 false _let_104)) _let_94 _let_90 _let_61 :args (false true _let_56 true _let_57 false _let_60 false _let_55 false _let_54)) :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_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 (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)))))) _let_47 _let_46 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) _let_45 _let_44 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 (forall ((W0 $$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))))))))) _let_37 (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_27 _let_24) (not (= _let_27 tptp.sz00)) _let_36 _let_31 _let_29 _let_26 _let_23 _let_21 _let_19 _let_17 _let_15 _let_13 _let_11 _let_9 _let_7 _let_5 _let_3 (tptp.sdtlseqdt0 (tptp.sdtpldt0 tptp.xP tptp.xP) (tptp.sdtpldt0 tptp.xR tptp.xS)) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.84/55.08  )
% 54.84/55.08  % SZS output end Proof for RNG075+2
% 54.84/55.08  % cvc5---1.0.5 exiting
% 54.84/55.08  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------