TSTP Solution File: RNG082+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG082+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 13:49:55 EDT 2023
% Result : Theorem 10.71s 11.25s
% Output : Proof 10.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG082+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 01:32:28 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.71/11.25 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vSe99hz6LZ/cvc5---1.0.5_21183.p...
% 10.71/11.25 ------- get file name : TPTP file name is RNG082+1
% 10.71/11.25 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21183.smt2...
% 10.71/11.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.71/11.25 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.71/11.25 % SZS status Theorem for RNG082+1
% 10.71/11.25 % SZS output start Proof for RNG082+1
% 10.71/11.25 (
% 10.71/11.25 (let ((_let_1 (tptp.smndt0 tptp.xx))) (let ((_let_2 (tptp.smndt0 tptp.sz10))) (let ((_let_3 (tptp.sdtasdt0 _let_2 tptp.xx))) (let ((_let_4 (= _let_3 _let_1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.aElement0 tptp.xx))) (let ((_let_7 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))))) (let ((_let_8 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_10 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_11 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_13 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_16 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))))) (let ((_let_17 (tptp.aElement0 tptp.sz10))) (let ((_let_18 (tptp.aElement0 tptp.sz00))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_20 (tptp.sdtpldt0 tptp.xx _let_1))) (let ((_let_21 (tptp.sdtasdt0 tptp.xx _let_2))) (let ((_let_22 (tptp.sdtpldt0 _let_21 tptp.xx))) (let ((_let_23 (= (tptp.sdtpldt0 _let_22 _let_1) (tptp.sdtpldt0 _let_21 _let_20)))) (let ((_let_24 (tptp.aElement0 _let_1))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_6))) (let ((_let_27 (tptp.aElement0 _let_21))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_25 _let_23))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (tptp.sdtpldt0 tptp.xx tptp.xx))) (let ((_let_33 (tptp.sdtpldt0 _let_32 _let_1))) (let ((_let_34 (tptp.sdtpldt0 _let_21 _let_32))) (let ((_let_35 (= (tptp.sdtpldt0 _let_34 _let_1) (tptp.sdtpldt0 _let_21 _let_33)))) (let ((_let_36 (= _let_33 (tptp.sdtpldt0 tptp.xx _let_20)))) (let ((_let_37 (tptp.sdtasdt0 tptp.xx tptp.sz10))) (let ((_let_38 (tptp.sdtpldt0 tptp.sz10 tptp.sz00))) (let ((_let_39 (= (tptp.sdtasdt0 tptp.xx _let_38) (tptp.sdtpldt0 _let_37 (tptp.sdtasdt0 tptp.xx tptp.sz00))))) (let ((_let_40 (tptp.sdtpldt0 tptp.xx _let_21))) (let ((_let_41 (tptp.sdtpldt0 _let_32 _let_21))) (let ((_let_42 (= _let_41 (tptp.sdtpldt0 tptp.xx _let_40)))) (let ((_let_43 (= _let_34 _let_41))) (let ((_let_44 (tptp.sdtpldt0 _let_2 tptp.sz10))) (let ((_let_45 (= (tptp.sdtasdt0 tptp.xx _let_44) (tptp.sdtpldt0 _let_21 _let_37)))) (let ((_let_46 (= tptp.sz00 _let_44))) (let ((_let_47 (= _let_1 (tptp.sdtpldt0 tptp.sz00 _let_1)))) (let ((_let_48 (= _let_40 _let_22))) (let ((_let_49 (= _let_21 (tptp.sdtpldt0 _let_21 tptp.sz00)))) (let ((_let_50 (= tptp.xx _let_37))) (let ((_let_51 (= _let_3 _let_21))) (let ((_let_52 (= tptp.sz00 _let_20))) (let ((_let_53 (= tptp.xx (tptp.sdtpldt0 tptp.xx tptp.sz00)))) (let ((_let_54 (= tptp.sz10 _let_38))) (let ((_let_55 (not _let_23))) (let ((_let_56 (tptp.aElement0 _let_32))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_28 _let_57 _let_25 _let_35))) (let ((_let_59 (_let_19))) (let ((_let_60 (tptp.aElement0 _let_2))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_26 _let_61 _let_27))) (let ((_let_63 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (tptp.xx _let_2 QUANTIFIERS_INST_ENUM))) (let ((_let_66 (not _let_17))) (let ((_let_67 (or _let_66 _let_60))) (let ((_let_68 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (tptp.aElement0 (tptp.smndt0 W0)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 (ASSUME :args (_let_17)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_60 (not _let_67)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.sz10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_60 false _let_17 false _let_67)))) (let ((_let_73 (ASSUME :args (_let_6)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_26 _let_61 _let_27 (not _let_62)))) _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args _let_65) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_27 false _let_6 false _let_60 false _let_62)))) (let ((_let_75 (or _let_26 _let_26 _let_56))) (let ((_let_76 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_75))) :args ((or _let_26 _let_56 (not _let_75)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.xx tptp.xx QUANTIFIERS_INST_ENUM)) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_56 false _let_6 false _let_75)))) (let ((_let_79 (or _let_26 _let_24))) (let ((_let_80 (tptp.xx QUANTIFIERS_INST_ENUM))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_26 _let_24 (not _let_79)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_80) :args _let_70)) _let_69 :args (_let_79 false _let_68)) :args (_let_24 false _let_6 false _let_79)))) (let ((_let_82 (or _let_26 _let_26 _let_25 _let_36))) (let ((_let_83 (tptp.sdtasdt0 tptp.sz10 tptp.xx))) (let ((_let_84 (and _let_39 (= (tptp.sdtasdt0 _let_38 tptp.xx) (tptp.sdtpldt0 _let_83 (tptp.sdtasdt0 tptp.sz00 tptp.xx)))))) (let ((_let_85 (not _let_18))) (let ((_let_86 (or _let_26 _let_66 _let_85 _let_84))) (let ((_let_87 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 (or _let_26 _let_26 _let_28 _let_42))) (let ((_let_91 (or _let_28 _let_57 _let_43))) (let ((_let_92 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 (and _let_45 (= (tptp.sdtasdt0 _let_44 tptp.xx) (tptp.sdtpldt0 _let_3 _let_83))))) (let ((_let_96 (or _let_26 _let_61 _let_66 _let_95))) (let ((_let_97 (and (= tptp.sz00 (tptp.sdtpldt0 tptp.sz10 _let_2)) _let_46))) (let ((_let_98 (or _let_66 _let_97))) (let ((_let_99 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 (and (= _let_1 (tptp.sdtpldt0 _let_1 tptp.sz00)) _let_47))) (let ((_let_103 (or _let_25 _let_102))) (let ((_let_104 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (or _let_26 _let_28 _let_48))) (let ((_let_108 (and _let_49 (= _let_21 (tptp.sdtpldt0 tptp.sz00 _let_21))))) (let ((_let_109 (or _let_28 _let_108))) (let ((_let_110 (and _let_50 (= tptp.xx _let_83)))) (let ((_let_111 (or _let_26 _let_110))) (let ((_let_112 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (or _let_26 _let_61 _let_51))) (let ((_let_115 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (and _let_52 (= tptp.sz00 (tptp.sdtpldt0 _let_1 tptp.xx))))) (let ((_let_118 (or _let_26 _let_117))) (let ((_let_119 (and _let_53 (= tptp.xx (tptp.sdtpldt0 tptp.sz00 tptp.xx))))) (let ((_let_120 (or _let_26 _let_119))) (let ((_let_121 (and _let_54 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10))))) (let ((_let_122 (or _let_66 _let_121))) (let ((_let_123 (ASSUME :args (_let_5)))) (let ((_let_124 (and _let_5 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_43 _let_42 _let_39 _let_36 _let_35))) (let ((_let_125 (ASSUME :args (_let_47)))) (let ((_let_126 (APPLY_UF tptp.sdtpldt0))) (let ((_let_127 (REFL :args (_let_1)))) (let ((_let_128 (ASSUME :args (_let_52)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (ASSUME :args (_let_50)))) (let ((_let_131 (APPLY_UF tptp.sdtasdt0))) (let ((_let_132 (ASSUME :args (_let_54)))) (let ((_let_133 (REFL :args (tptp.xx)))) (let ((_let_134 (ASSUME :args (_let_39)))) (let ((_let_135 (ASSUME :args (_let_46)))) (let ((_let_136 (ASSUME :args (_let_45)))) (let ((_let_137 (REFL :args (_let_21)))) (let ((_let_138 (ASSUME :args (_let_48)))) (let ((_let_139 (ASSUME :args (_let_42)))) (let ((_let_140 (ASSUME :args (_let_43)))) (let ((_let_141 (ASSUME :args (_let_35)))) (let ((_let_142 (ASSUME :args (_let_36)))) (let ((_let_143 (ASSUME :args (_let_53)))) (let ((_let_144 (ASSUME :args (_let_51)))) (let ((_let_145 (ASSUME :args (_let_49)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_21 tptp.xx _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_26 _let_25 _let_28 _let_23 _let_31))) _let_73 _let_81 _let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_145 _let_128 _let_123 _let_125 _let_130 _let_132 _let_134 _let_135 _let_136 _let_138 _let_139 _let_140 _let_141 _let_142 _let_143) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_137 _let_129 :args _let_126) (SYMM _let_145) (SYMM _let_144)) (TRANS (CONG (TRANS (CONG _let_137 (TRANS (SYMM (SYMM _let_143)) (CONG _let_133 _let_128 :args _let_126) (SYMM _let_142)) :args _let_126) (SYMM _let_141) (CONG (TRANS (SYMM (SYMM _let_140)) (SYMM (SYMM _let_139)) (CONG _let_130 (TRANS (SYMM (SYMM _let_138)) (CONG _let_137 _let_130 :args _let_126) (SYMM _let_136) (CONG _let_133 (SYMM _let_135) :args _let_131)) :args _let_126) (SYMM _let_134) (CONG _let_133 (SYMM _let_132) :args _let_131) (SYMM _let_130)) _let_127 :args _let_126) _let_129) _let_127 :args _let_126) (SYMM _let_125)) :args (=)) (FALSE_INTRO _let_123)) :args ((= _let_23 false)))) :args (_let_51 _let_49 _let_52 _let_5 _let_47 _let_50 _let_54 _let_39 _let_46 _let_45 _let_48 _let_42 _let_43 _let_35 _let_36 _let_53))) :args (_let_5 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_43 _let_42 _let_39 _let_36 _let_35))) :args (true _let_124)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_54))) (REFL :args ((not _let_53))) (REFL :args ((not _let_52))) (REFL :args ((not _let_51))) (REFL :args ((not _let_50))) (REFL :args ((not _let_49))) (REFL :args ((not _let_48))) (REFL :args ((not _let_47))) (REFL :args ((not _let_46))) (REFL :args ((not _let_45))) (REFL :args ((not _let_43))) (REFL :args ((not _let_42))) (REFL :args ((not _let_39))) (REFL :args ((not _let_36))) (REFL :args ((not _let_35))) (REFL :args (_let_55)) :args (or))) _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_121 0)) :args ((or _let_54 (not _let_121)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_66 _let_121 (not _let_122)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.sz10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_105 :args (_let_122 false _let_104)) :args (_let_121 false _let_17 false _let_122)) :args (_let_54 false _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_119 0)) :args ((or _let_53 (not _let_119)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_26 _let_119 (not _let_120)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_80) :args _let_106)) _let_105 :args (_let_120 false _let_104)) :args (_let_119 false _let_6 false _let_120)) :args (_let_53 false _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_117 0)) :args ((or _let_52 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_26 _let_117 (not _let_118)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args _let_80) :args _let_101)) _let_100 :args (_let_118 false _let_99)) :args (_let_117 false _let_6 false _let_118)) :args (_let_52 false _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_26 _let_61 _let_51 (not _let_114)))) _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_116 :args _let_65) :args (_let_115)))) _let_116 :args (_let_114 false _let_115)) :args (_let_51 false _let_6 false _let_60 false _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 0)) :args ((or _let_50 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_26 _let_110 (not _let_111)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_80) :args (_let_112))) _let_113 :args (_let_111 false _let_112)) :args (_let_110 false _let_6 false _let_111)) :args (_let_50 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 0)) :args ((or _let_49 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_28 _let_108 (not _let_109)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_21 QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_105 :args (_let_109 false _let_104)) :args (_let_108 false _let_27 false _let_109)) :args (_let_49 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_26 _let_28 _let_48 (not _let_107)))) _let_73 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.xx _let_21 QUANTIFIERS_INST_ENUM)) :args _let_94)) _let_93 :args (_let_107 false _let_92)) :args (_let_48 false _let_6 false _let_27 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_47 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_25 _let_102 (not _let_103)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_105 :args (_let_103 false _let_104)) :args (_let_102 false _let_24 false _let_103)) :args (_let_47 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_46 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_66 _let_97 (not _let_98)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sz10 QUANTIFIERS_INST_ENUM)) :args _let_101)) _let_100 :args (_let_98 false _let_99)) :args (_let_97 false _let_17 false _let_98)) :args (_let_46 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_95 0)) :args ((or _let_45 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_66 _let_26 _let_61 _let_95 (not _let_96)))) _let_71 _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.xx _let_2 tptp.sz10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89)) _let_88 :args (_let_96 false _let_87)) :args (_let_95 false _let_17 false _let_6 false _let_60 false _let_96)) :args (_let_45 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_57 _let_28 _let_43 (not _let_91)))) _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_21 _let_32 QUANTIFIERS_INST_ENUM)) :args _let_94)) _let_93 :args (_let_91 false _let_92)) :args (_let_43 false _let_56 false _let_27 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_90))) :args ((or _let_26 _let_28 _let_42 (not _let_90)))) _let_73 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xx tptp.xx _let_21 QUANTIFIERS_INST_ENUM)) :args _let_59)) _let_30 :args (_let_90 false _let_19)) :args (_let_42 false _let_6 false _let_27 false _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 0)) :args ((or _let_39 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_66 _let_26 _let_84 (not _let_86)))) (ASSUME :args (_let_18)) _let_71 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.xx tptp.sz10 tptp.sz00 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89)) _let_88 :args (_let_86 false _let_87)) :args (_let_84 false _let_18 false _let_17 false _let_6 false _let_86)) :args (_let_39 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_82))) :args ((or _let_26 _let_25 _let_36 (not _let_82)))) _let_73 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xx tptp.xx _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59)) _let_30 :args (_let_82 false _let_19)) :args (_let_36 false _let_6 false _let_24 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_25 _let_57 _let_28 _let_35 (not _let_58)))) _let_81 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_21 _let_32 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59)) _let_30 :args (_let_58 false _let_19)) :args (_let_35 false _let_24 false _let_56 false _let_27 false _let_58)) :args (_let_55 true _let_4 false _let_54 false _let_53 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_42 false _let_39 false _let_36 false _let_35)) :args (_let_31 false _let_6 false _let_24 false _let_27 true _let_23)) _let_30 :args (false true _let_29 false _let_19)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) _let_8 _let_7 _let_6 _let_5 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.71/11.25 )
% 10.71/11.25 % SZS output end Proof for RNG082+1
% 10.71/11.25 % cvc5---1.0.5 exiting
% 10.71/11.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------