TSTP Solution File: NUM454+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM454+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 10:44:02 EDT 2023
% Result : Theorem 0.20s 0.74s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM454+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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 : Fri Aug 25 12:38:15 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.74 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.EV5ucJQmRw/cvc5---1.0.5_8340.p...
% 0.20/0.74 ------- get file name : TPTP file name is NUM454+1
% 0.20/0.74 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8340.smt2...
% 0.20/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.74 % SZS status Theorem for NUM454+1
% 0.20/0.74 % SZS output start Proof for NUM454+1
% 0.20/0.74 (
% 0.20/0.74 (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 tptp.xp))) (let ((_let_3 (tptp.sdtpldt0 tptp.sz10 _let_2))) (let ((_let_4 (tptp.sdtpldt0 tptp.sz10 tptp.xp))) (let ((_let_5 (not (or (not (= _let_4 _let_1)) (not (= _let_3 _let_1)))))) (let ((_let_6 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp))) (let ((_let_7 (tptp.sbsmnsldt0 tptp.xS))) (let ((_let_8 (tptp.stldt0 _let_7))) (let ((_let_9 (tptp.aInteger0 tptp.xp))) (let ((_let_10 (and _let_9 (not (= tptp.xp tptp.sz00)) (tptp.aSubsetOf0 _let_6 _let_8)))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))))) (let ((_let_12 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_13 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_14 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_15 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_17 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_18 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_20 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_21 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_22 (tptp.aInteger0 tptp.sz10))) (let ((_let_23 (= _let_1 _let_4))) (let ((_let_24 (= _let_1 _let_3))) (let ((_let_25 (tptp.sdtpldt0 tptp.xp tptp.sz10))) (let ((_let_26 (= _let_4 _let_25))) (let ((_let_27 (tptp.sdtpldt0 _let_2 tptp.sz10))) (let ((_let_28 (= _let_3 _let_27))) (let ((_let_29 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10)))) (let ((_let_30 (tptp.sdtpldt0 tptp.sz10 _let_1))) (let ((_let_31 (= tptp.sz00 _let_30))) (let ((_let_32 (tptp.sdtpldt0 _let_1 tptp.sz10))) (let ((_let_33 (= tptp.sz00 _let_32))) (let ((_let_34 (tptp.sdtpldt0 _let_2 tptp.xp))) (let ((_let_35 (= tptp.sz00 _let_34))) (let ((_let_36 (tptp.sdtasdt0 tptp.xp tptp.sz10))) (let ((_let_37 (= tptp.xp _let_36))) (let ((_let_38 (tptp.sdtasdt0 tptp.sz10 tptp.xp))) (let ((_let_39 (= tptp.xp _let_38))) (let ((_let_40 (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00)))) (let ((_let_41 (tptp.sdtasdt0 _let_1 tptp.sz10))) (let ((_let_42 (= _let_1 _let_41))) (let ((_let_43 (tptp.sdtasdt0 tptp.sz10 _let_1))) (let ((_let_44 (= _let_1 _let_43))) (let ((_let_45 (tptp.sdtasdt0 _let_1 tptp.xp))) (let ((_let_46 (= _let_2 _let_45))) (let ((_let_47 (tptp.sdtasdt0 tptp.xp _let_1))) (let ((_let_48 (= _let_2 _let_47))) (let ((_let_49 (= (tptp.sdtpldt0 _let_2 _let_25) (tptp.sdtpldt0 _let_34 tptp.sz10)))) (let ((_let_50 (tptp.sdtpldt0 tptp.sz10 tptp.sz10))) (let ((_let_51 (= (tptp.sdtpldt0 _let_2 _let_50) (tptp.sdtpldt0 _let_27 tptp.sz10)))) (let ((_let_52 (= (tptp.sdtasdt0 _let_1 _let_36) (tptp.sdtasdt0 _let_45 tptp.sz10)))) (let ((_let_53 (= _let_2 (tptp.sdtpldt0 tptp.sz00 _let_2)))) (let ((_let_54 (tptp.sdtasdt0 _let_2 tptp.xp))) (let ((_let_55 (= (tptp.sdtasdt0 (tptp.sdtpldt0 _let_1 _let_2) tptp.xp) (tptp.sdtpldt0 _let_45 _let_54)))) (let ((_let_56 (= (tptp.sdtasdt0 _let_25 _let_1) (tptp.sdtpldt0 _let_47 _let_43)))) (let ((_let_57 (= (tptp.sdtasdt0 _let_2 _let_4) (tptp.sdtpldt0 (tptp.sdtasdt0 _let_2 tptp.sz10) _let_54)))) (let ((_let_58 (= (tptp.sdtasdt0 _let_27 tptp.xp) (tptp.sdtpldt0 _let_54 _let_38)))) (let ((_let_59 (= (tptp.sdtasdt0 _let_1 _let_50) (tptp.sdtpldt0 _let_41 _let_41)))) (let ((_let_60 (tptp.sdtpldt0 _let_41 _let_45))) (let ((_let_61 (= (tptp.sdtasdt0 _let_1 _let_4) _let_60))) (let ((_let_62 (tptp.sdtasdt0 _let_1 _let_2))) (let ((_let_63 (tptp.smndt0 _let_2))) (let ((_let_64 (= _let_63 _let_62))) (let ((_let_65 (= _let_63 (tptp.sdtasdt0 _let_2 _let_1)))) (let ((_let_66 (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.xp)))) (let ((_let_67 (= (tptp.sdtasdt0 tptp.xp (tptp.sdtpldt0 _let_1 _let_1)) (tptp.sdtpldt0 _let_47 _let_47)))) (let ((_let_68 (= (tptp.sdtpldt0 tptp.sz10 _let_60) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.sz10 _let_41) _let_45)))) (let ((_let_69 (0))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (1))) (let ((_let_72 (not _let_9))) (let ((_let_73 (not _let_22))) (let ((_let_74 (or _let_73 _let_72 _let_26))) (let ((_let_75 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (AND_ELIM _let_79 :args _let_69))) (let ((_let_81 (ASSUME :args (_let_22)))) (let ((_let_82 (tptp.aInteger0 _let_2))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_73 _let_83 _let_28))) (let ((_let_85 (or _let_72 _let_82))) (let ((_let_86 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 ((tptp.smndt0 W0)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_72 _let_82 (not _let_85)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_85 false _let_86)) :args (_let_82 false _let_9 false _let_85)))) (let ((_let_91 (and (= tptp.sz10 (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) _let_29))) (let ((_let_92 (or _let_73 _let_91))) (let ((_let_93 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_97 (and _let_31 _let_33))) (let ((_let_98 (or _let_73 _let_97))) (let ((_let_99 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_73 _let_97 (not _let_98)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_98 false _let_99)) :args (_let_97 false _let_22 false _let_98)))) (let ((_let_104 (not _let_97))) (let ((_let_105 (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xp _let_2)) _let_35))) (let ((_let_106 (or _let_72 _let_105))) (let ((_let_107 (and _let_37 _let_39))) (let ((_let_108 (or _let_72 _let_107))) (let ((_let_109 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_72 _let_107 (not _let_108)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_107 false _let_9 false _let_108)))) (let ((_let_112 (not _let_107))) (let ((_let_113 (and _let_40 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp))))) (let ((_let_114 (or _let_72 _let_113))) (let ((_let_115 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (and _let_42 _let_44))) (let ((_let_118 (or _let_73 _let_117))) (let ((_let_119 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_73 _let_117 (not _let_118)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_118 false _let_119)) :args (_let_117 false _let_22 false _let_118)))) (let ((_let_124 (not _let_117))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_117 0)) :args ((or _let_42 _let_124))) _let_123 :args (_let_42 false _let_117)))) (let ((_let_126 (and _let_46 _let_48))) (let ((_let_127 (or _let_72 _let_126))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_72 _let_126 (not _let_127)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_127 false _let_119)) :args (_let_126 false _let_9 false _let_127)))) (let ((_let_129 (not _let_126))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 0)) :args ((or _let_46 _let_129))) _let_128 :args (_let_46 false _let_126)))) (let ((_let_131 (or _let_83 _let_72 _let_73 _let_49))) (let ((_let_132 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 ((tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) (let ((_let_136 (or _let_83 _let_73 _let_73 _let_51))) (let ((_let_137 (tptp.aInteger0 _let_1))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_72 _let_73 _let_52))) (let ((_let_140 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (or _let_73 _let_137))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_73 _let_137 (not _let_142)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_142 false _let_86)) :args (_let_137 false _let_22 false _let_142)))) (let ((_let_144 (and (= _let_2 (tptp.sdtpldt0 _let_2 tptp.sz00)) _let_53))) (let ((_let_145 (or _let_83 _let_144))) (let ((_let_146 (and (= (tptp.sdtasdt0 _let_1 _let_34) (tptp.sdtpldt0 _let_62 _let_45)) _let_55))) (let ((_let_147 (or _let_138 _let_83 _let_72 _let_146))) (let ((_let_148 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 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_149 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (_let_148))) (let ((_let_151 (and (= (tptp.sdtasdt0 tptp.xp _let_30) (tptp.sdtpldt0 _let_36 _let_47)) _let_56))) (let ((_let_152 (or _let_72 _let_73 _let_138 _let_151))) (let ((_let_153 (tptp.sdtasdt0 W0 W2))) (let ((_let_154 (and _let_57 _let_58))) (let ((_let_155 (or _let_83 _let_73 _let_72 _let_154))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_73 _let_72 _let_83 _let_154 (not _let_155)))) _let_81 _let_80 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_2 tptp.sz10 tptp.xp QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2)))) :args _let_150)) _let_149 :args (_let_155 false _let_148)) :args (_let_154 false _let_22 false _let_9 false _let_82 false _let_155)))) (let ((_let_157 (not _let_154))) (let ((_let_158 (and _let_59 (= (tptp.sdtasdt0 _let_32 tptp.sz10) (tptp.sdtpldt0 _let_41 (tptp.sdtasdt0 tptp.sz10 tptp.sz10)))))) (let ((_let_159 (or _let_138 _let_73 _let_73 _let_158))) (let ((_let_160 ((tptp.sdtpldt0 _let_153 (tptp.sdtasdt0 W1 W2))))) (let ((_let_161 (and _let_61 (= (tptp.sdtasdt0 _let_32 tptp.xp) (tptp.sdtpldt0 _let_45 _let_38))))) (let ((_let_162 (or _let_138 _let_73 _let_72 _let_161))) (let ((_let_163 (and _let_64 _let_65))) (let ((_let_164 (or _let_83 _let_163))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_83 _let_163 (not _let_164)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_164 false _let_119)) :args (_let_163 false _let_82 false _let_164)))) (let ((_let_166 (not _let_163))) (let ((_let_167 (= tptp.sz00 tptp.xp))) (let ((_let_168 (not _let_66))) (let ((_let_169 (or _let_72 _let_72 _let_168 _let_167 _let_167))) (let ((_let_170 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (= tptp.sz00 (tptp.sdtasdt0 W0 W1))) (= tptp.sz00 W0) (= tptp.sz00 W1))))) (let ((_let_171 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_172 (and _let_67 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xp _let_1) _let_1) (tptp.sdtpldt0 _let_47 (tptp.sdtasdt0 _let_1 _let_1)))))) (let ((_let_173 (or _let_72 _let_138 _let_138 _let_172))) (let ((_let_174 (tptp.aInteger0 _let_45))) (let ((_let_175 (not _let_174))) (let ((_let_176 (tptp.aInteger0 _let_41))) (let ((_let_177 (not _let_176))) (let ((_let_178 (or _let_73 _let_177 _let_175 _let_68))) (let ((_let_179 (and _let_82 _let_46))) (let ((_let_180 (_let_82 _let_46))) (let ((_let_181 (ASSUME :args (_let_82)))) (let ((_let_182 (APPLY_UF tptp.aInteger0))) (let ((_let_183 (ASSUME :args (_let_46)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (and _let_137 _let_42))) (let ((_let_187 (_let_137 _let_42))) (let ((_let_188 (ASSUME :args (_let_137)))) (let ((_let_189 (ASSUME :args (_let_42)))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (and _let_23 _let_24 _let_26 _let_28 _let_29 _let_31 _let_33 _let_35 _let_37 _let_39 _let_40 _let_42 _let_44 _let_46 _let_48 _let_49 _let_51 _let_53 _let_52 _let_55 _let_56 _let_57 _let_58 _let_59 _let_61 _let_64 _let_65 _let_68 _let_67))) (let ((_let_193 (APPLY_UF tptp.sdtasdt0))) (let ((_let_194 (ASSUME :args (_let_39)))) (let ((_let_195 (REFL :args (tptp.xp)))) (let ((_let_196 (ASSUME :args (_let_29)))) (let ((_let_197 (APPLY_UF tptp.sdtpldt0))) (let ((_let_198 (REFL :args (tptp.sz10)))) (let ((_let_199 (ASSUME :args (_let_35)))) (let ((_let_200 (CONG (SYMM _let_199) _let_198 :args _let_197))) (let ((_let_201 (ASSUME :args (_let_49)))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (ASSUME :args (_let_26)))) (let ((_let_204 (SYMM (SYMM _let_203)))) (let ((_let_205 (ASSUME :args (_let_23)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (ASSUME :args (_let_44)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (ASSUME :args (_let_48)))) (let ((_let_211 (SYMM _let_210))) (let ((_let_212 (CONG _let_211 (TRANS _let_209 _let_207 _let_204) :args _let_197))) (let ((_let_213 (ASSUME :args (_let_56)))) (let ((_let_214 (SYMM _let_213))) (let ((_let_215 (REFL :args (_let_1)))) (let ((_let_216 (CONG (TRANS _let_207 _let_204) _let_215 :args _let_193))) (let ((_let_217 (CONG _let_215 _let_206 :args _let_193))) (let ((_let_218 (ASSUME :args (_let_61)))) (let ((_let_219 (ASSUME :args (_let_55)))) (let ((_let_220 (ASSUME :args (_let_37)))) (let ((_let_221 (CONG _let_215 (SYMM _let_220) :args _let_193))) (let ((_let_222 (ASSUME :args (_let_52)))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (CONG _let_185 _let_198 :args _let_193))) (let ((_let_225 (TRANS _let_224 _let_223 _let_221 _let_184))) (let ((_let_226 (ASSUME :args (_let_57)))) (let ((_let_227 (ASSUME :args (_let_65)))) (let ((_let_228 (ASSUME :args (_let_64)))) (let ((_let_229 (ASSUME :args (_let_53)))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (ASSUME :args (_let_40)))) (let ((_let_232 (CONG (SYMM _let_231) _let_211 :args _let_197))) (let ((_let_233 (ASSUME :args (_let_31)))) (let ((_let_234 (CONG (TRANS (TRANS (CONG _let_198 _let_190 :args _let_197) (SYMM _let_233)) _let_231) (TRANS _let_184 _let_210) :args _let_197))) (let ((_let_235 (ASSUME :args (_let_68)))) (let ((_let_236 (SYMM (SYMM _let_235)))) (let ((_let_237 (CONG _let_198 (TRANS _let_196 (SYMM _let_200) _let_202 (SYMM _let_212) _let_214 (SYMM _let_216) (SYMM _let_217) _let_218) :args _let_197))) (let ((_let_238 (REFL :args (_let_50)))) (let ((_let_239 (ASSUME :args (_let_59)))) (let ((_let_240 (ASSUME :args (_let_67)))) (let ((_let_241 (TRANS _let_224 _let_223 _let_221 _let_184 _let_210))) (let ((_let_242 (ASSUME :args (_let_24)))) (let ((_let_243 (ASSUME :args (_let_28)))) (let ((_let_244 (TRANS (SYMM _let_243) (SYMM _let_242)))) (let ((_let_245 (ASSUME :args (_let_58)))) (let ((_let_246 (TRANS (SYMM _let_245) (CONG _let_244 _let_195 :args _let_193) _let_184))) (let ((_let_247 (ASSUME :args (_let_51)))) (let ((_let_248 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_192)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_194 _let_196 _let_199 _let_201 _let_210 _let_203 _let_205 _let_208 _let_213 _let_218 _let_189 _let_183 _let_219 _let_220 _let_222 _let_226 _let_227 _let_228 _let_229 _let_231 _let_233 _let_235 _let_239 _let_240 _let_242 _let_243 _let_245 _let_247 _let_248) (SCOPE (TRANS (SYMM (SYMM _let_248)) (CONG (SYMM _let_244) _let_198 :args _let_197) (SYMM _let_247) (CONG (SYMM _let_246) _let_238 :args _let_197) (CONG (TRANS _let_246 (SYMM _let_225)) (TRANS _let_237 _let_236 _let_234 _let_232 _let_230 _let_185 (SYMM _let_221) _let_222 (SYMM _let_224)) :args _let_197) (CONG _let_241 _let_241 :args _let_197) (SYMM _let_240) (CONG _let_195 (TRANS (CONG _let_191 _let_191 :args _let_197) (SYMM _let_239) (CONG _let_208 _let_238 :args _let_193) (CONG _let_209 (TRANS _let_237 _let_236 _let_234 _let_232 _let_230) :args _let_193) (SYMM _let_228) (SYMM (SYMM _let_227)) (CONG (REFL :args (_let_2)) _let_207 :args _let_193) (SYMM (SYMM _let_226)) (CONG (TRANS _let_225 _let_185) (REFL :args (_let_54)) :args _let_197) (SYMM _let_219) (CONG (TRANS (CONG _let_191 _let_185 :args _let_197) (SYMM _let_218) _let_217 _let_216 (SYMM _let_214) _let_212 (SYMM _let_202) _let_200 (SYMM _let_196)) _let_195 :args _let_193) (SYMM _let_194)) :args _let_193)) :args (_let_39 _let_29 _let_35 _let_49 _let_48 _let_26 _let_23 _let_44 _let_56 _let_61 _let_42 _let_46 _let_55 _let_37 _let_52 _let_57 _let_65 _let_64 _let_53 _let_40 _let_31 _let_68 _let_59 _let_67 _let_24 _let_28 _let_58 _let_51 _let_33))) :args (_let_23 _let_24 _let_26 _let_28 _let_29 _let_31 _let_33 _let_35 _let_37 _let_39 _let_40 _let_42 _let_44 _let_46 _let_48 _let_49 _let_51 _let_53 _let_52 _let_55 _let_56 _let_57 _let_58 _let_59 _let_61 _let_64 _let_65 _let_68 _let_67))) :args (true _let_192)) :args ((or (not _let_23) (not _let_24) (not _let_26) (not _let_28) (not _let_29) (not _let_31) (not _let_33) (not _let_35) (not _let_37) (not _let_39) (not _let_40) (not _let_42) (not _let_44) (not _let_46) (not _let_48) (not _let_49) (not _let_51) (not _let_53) (not _let_52) (not _let_55) (not _let_56) (not _let_57) (not _let_58) (not _let_59) (not _let_61) (not _let_64) (not _let_65) _let_66 (not _let_68) (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_73 _let_177 _let_175 _let_68 (not _let_178)))) _let_81 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_186)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_188 _let_189) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_191) :args _let_182) (TRUE_INTRO _let_188))) :args _let_187)) :args _let_187)) :args (true _let_186)) _let_143 _let_125 :args (_let_176 false _let_137 false _let_42)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_179)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_181 _let_183) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_185) :args _let_182) (TRUE_INTRO _let_181))) :args _let_180)) :args _let_180)) :args (true _let_179)) _let_90 _let_130 :args (_let_174 false _let_82 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.sz10 _let_41 _let_45 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) :args _let_134)) _let_133 :args (_let_178 false _let_132)) :args (_let_68 false _let_22 false _let_176 false _let_174 false _let_178)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_172 0)) :args ((or _let_67 (not _let_172)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_173))) :args ((or _let_72 _let_138 _let_172 (not _let_173)))) _let_80 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.xp _let_1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_150)) _let_149 :args (_let_173 false _let_148)) :args (_let_172 false _let_9 false _let_137 false _let_173)) :args (_let_67 false _let_172)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_169))) :args ((or _let_167 _let_72 _let_168 (not _let_169)))) (AND_ELIM _let_79 :args _let_71) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.xp tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_170))) _let_171 :args (_let_169 false _let_170)) :args (_let_168 true _let_167 false _let_9 false _let_169)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_163 1)) :args ((or _let_65 _let_166))) _let_165 :args (_let_65 false _let_163)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_163 0)) :args ((or _let_64 _let_166))) _let_165 :args (_let_64 false _let_163)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_161 0)) :args ((or _let_61 (not _let_161)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_73 _let_72 _let_138 _let_161 (not _let_162)))) _let_81 _let_80 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_1 tptp.sz10 tptp.xp QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_150)) _let_149 :args (_let_162 false _let_148)) :args (_let_161 false _let_22 false _let_9 false _let_137 false _let_162)) :args (_let_61 false _let_161)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_158 0)) :args ((or _let_59 (not _let_158)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_159))) :args ((or _let_73 _let_138 _let_158 (not _let_159)))) _let_81 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_1 tptp.sz10 tptp.sz10 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_150)) _let_149 :args (_let_159 false _let_148)) :args (_let_158 false _let_22 false _let_137 false _let_159)) :args (_let_59 false _let_158)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_154 1)) :args ((or _let_58 _let_157))) _let_156 :args (_let_58 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_154 0)) :args ((or _let_57 _let_157))) _let_156 :args (_let_57 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_151 1)) :args ((or _let_56 (not _let_151)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_73 _let_72 _let_138 _let_151 (not _let_152)))) _let_81 _let_80 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.xp tptp.sz10 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_153)))) :args _let_150)) _let_149 :args (_let_152 false _let_148)) :args (_let_151 false _let_22 false _let_9 false _let_137 false _let_152)) :args (_let_56 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_146 1)) :args ((or _let_55 (not _let_146)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_72 _let_83 _let_138 _let_146 (not _let_147)))) _let_80 _let_90 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_1 _let_2 tptp.xp QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2))))) :args _let_150)) _let_149 :args (_let_147 false _let_148)) :args (_let_146 false _let_9 false _let_82 false _let_137 false _let_147)) :args (_let_55 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_144 1)) :args ((or _let_53 (not _let_144)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_83 _let_144 (not _let_145)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_145 false _let_93)) :args (_let_144 false _let_82 false _let_145)) :args (_let_53 false _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_73 _let_72 _let_138 _let_52 (not _let_139)))) _let_81 _let_80 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_1 tptp.xp tptp.sz10 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) :args (_let_140))) _let_141 :args (_let_139 false _let_140)) :args (_let_52 false _let_22 false _let_9 false _let_137 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_136))) :args ((or _let_73 _let_83 _let_51 (not _let_136)))) _let_81 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_2 tptp.sz10 tptp.sz10 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_134)) _let_133 :args (_let_136 false _let_132)) :args (_let_51 false _let_22 false _let_82 false _let_136)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_73 _let_72 _let_83 _let_49 (not _let_131)))) _let_81 _let_80 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_2 tptp.xp tptp.sz10 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_134)) _let_133 :args (_let_131 false _let_132)) :args (_let_49 false _let_22 false _let_9 false _let_82 false _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 1)) :args ((or _let_48 _let_129))) _let_128 :args (_let_48 false _let_126)) _let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_117 1)) :args ((or _let_44 _let_124))) _let_123 :args (_let_44 false _let_117)) _let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_40 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_72 _let_113 (not _let_114)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_113 false _let_9 false _let_114)) :args (_let_40 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 1)) :args ((or _let_39 _let_112))) _let_111 :args (_let_39 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 0)) :args ((or _let_37 _let_112))) _let_111 :args (_let_37 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_35 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_72 _let_105 (not _let_106)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_106 false _let_99)) :args (_let_105 false _let_9 false _let_106)) :args (_let_35 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_33 _let_104))) _let_103 :args (_let_33 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_31 _let_104))) _let_103 :args (_let_31 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_91 1)) :args ((or _let_29 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_73 _let_91 (not _let_92)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_92 false _let_93)) :args (_let_91 false _let_22 false _let_92)) :args (_let_29 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_73 _let_83 _let_28 (not _let_84)))) _let_81 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sz10 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_84 false _let_75)) :args (_let_28 false _let_22 false _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_72 _let_26 (not _let_74)))) _let_81 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sz10 tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_74 false _let_75)) :args (_let_26 false _let_22 false _let_9 false _let_74)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_70 :args _let_71)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_70 :args _let_69)) :args (false false _let_68 false _let_67 true _let_66 false _let_65 false _let_64 false _let_61 false _let_59 false _let_58 false _let_57 false _let_56 false _let_55 false _let_53 false _let_52 false _let_51 false _let_49 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_28 false _let_26 false _let_24 false _let_23)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) (tptp.aInteger0 tptp.sz00) _let_22 _let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))) _let_20 _let_19 _let_18 _let_17 _let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) _let_15 _let_14 _let_13 _let_12 _let_11 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.sdteqdtlpzmzozddtrp0 W1 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00)) (tptp.aInteger0 W3)) (=> (and (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.sdteqdtlpzmzozddtrp0 W1 W3 W2)) (tptp.sdteqdtlpzmzozddtrp0 W0 W3 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00)) (tptp.aInteger0 W3) (not (= W3 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 W0 W1 (tptp.sdtasdt0 W2 W3)) (and (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W3))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aInteger0 W0) (not (= W0 tptp.sz00))) (=> (tptp.isPrime0 W0) true))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (= (exists ((W1 $$unsorted)) (and (tptp.aDivisorOf0 W1 W0) (tptp.isPrime0 W1))) (and (not (= W0 tptp.sz10)) (not (= W0 (tptp.smndt0 tptp.sz10))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) true)))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isFinite0 W0) true))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.cS1395) (tptp.aSubsetOf0 W1 tptp.cS1395)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtbsmnsldt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aInteger0 W3) (or (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.cS1395) (tptp.aSubsetOf0 W1 tptp.cS1395)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtslmnbsdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aInteger0 W3) (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aSubsetOf0 W1 tptp.cS1395)))) (forall ((W1 $$unsorted)) (= (= W1 (tptp.sbsmnsldt0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (and (tptp.aInteger0 W2) (exists ((W3 $$unsorted)) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W2 W3))))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSubsetOf0 W0 tptp.cS1395) (forall ((W1 $$unsorted)) (= (= W1 (tptp.stldt0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (and (tptp.aInteger0 W2) (not (tptp.aElementOf0 W2 W0)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (forall ((W2 $$unsorted)) (= (= W2 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aInteger0 W3) (tptp.sdteqdtlpzmzozddtrp0 W3 W0 W1))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSubsetOf0 W0 tptp.cS1395) (= (tptp.isOpen0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (not (= W2 tptp.sz00)) (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 W1 W2) W0)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSubsetOf0 W0 tptp.cS1395) (= (tptp.isClosed0 W0) (tptp.isOpen0 (tptp.stldt0 W0))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isOpen0 W1))))) (tptp.isOpen0 (tptp.sbsmnsldt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.cS1395) (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isOpen0 W0) (tptp.isOpen0 W1)) (tptp.isOpen0 (tptp.sdtslmnbsdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.cS1395) (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isClosed0 W0) (tptp.isClosed0 W1)) (tptp.isClosed0 (tptp.sdtbsmnsldt0 W0 W1)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isClosed0 W1))))) (tptp.isClosed0 (tptp.sbsmnsldt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (and (tptp.aSubsetOf0 _let_1 tptp.cS1395) (tptp.isClosed0 _let_1))))) (= tptp.xS tptp.cS2043) (= _let_8 tptp.cS2076) (tptp.isFinite0 tptp.xS) (and (tptp.isClosed0 _let_7) (tptp.isOpen0 _let_8)) _let_10 (and (tptp.aElementOf0 _let_4 _let_6) (tptp.aElementOf0 _let_3 _let_6)) (and (not (= _let_4 tptp.sz10)) (not (= _let_3 tptp.sz10))) _let_5 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.75 )
% 0.20/0.75 % SZS output end Proof for NUM454+1
% 0.20/0.75 % cvc5---1.0.5 exiting
% 0.20/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------