TSTP Solution File: KRS159+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS159+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 05:41:39 EDT 2023
% Result : Theorem 0.69s 0.89s
% Output : Proof 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16 % Problem : KRS159+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.17 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n028.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon Aug 28 01:37:24 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.69/0.89 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.F2HLitXB3o/cvc5---1.0.5_24237.p...
% 0.69/0.89 ------- get file name : TPTP file name is KRS159+1
% 0.69/0.89 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24237.smt2...
% 0.69/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.69/0.89 % SZS status Theorem for KRS159+1
% 0.69/0.89 % SZS output start Proof for KRS159+1
% 0.69/0.89 (
% 0.69/0.89 (let ((_let_1 (tptp.cowlThing tptp.iV21030))) (let ((_let_2 (tptp.cC66 tptp.iV21030))) (let ((_let_3 (tptp.cC72 tptp.iV21030))) (let ((_let_4 (tptp.cowlThing tptp.iV21029))) (let ((_let_5 (tptp.cC44 tptp.iV21029))) (let ((_let_6 (tptp.cC50 tptp.iV21029))) (let ((_let_7 (tptp.cC24 tptp.iV21027))) (let ((_let_8 (tptp.cowlThing tptp.iV21027))) (let ((_let_9 (tptp.cC30 tptp.iV21027))) (let ((_let_10 (tptp.cC86 tptp.iV21026))) (let ((_let_11 (tptp.cC156 tptp.iV21026))) (let ((_let_12 (tptp.cC42 tptp.iV21026))) (let ((_let_13 (tptp.cC134 tptp.iV21026))) (let ((_let_14 (tptp.cC4 tptp.iV21026))) (let ((_let_15 (tptp.cC168 tptp.iV21026))) (let ((_let_16 (tptp.cC130 tptp.iV21026))) (let ((_let_17 (tptp.cC88 tptp.iV21026))) (let ((_let_18 (tptp.cC80 tptp.iV21026))) (let ((_let_19 (tptp.cC152 tptp.iV21026))) (let ((_let_20 (tptp.cC14 tptp.iV21026))) (let ((_let_21 (tptp.cC82 tptp.iV21026))) (let ((_let_22 (tptp.cC116 tptp.iV21026))) (let ((_let_23 (tptp.cC64 tptp.iV21026))) (let ((_let_24 (tptp.cC112 tptp.iV21026))) (let ((_let_25 (tptp.cC36 tptp.iV21026))) (let ((_let_26 (tptp.cC8 tptp.iV21026))) (let ((_let_27 (tptp.cC62 tptp.iV21026))) (let ((_let_28 (tptp.cC174 tptp.iV21026))) (let ((_let_29 (tptp.cC138 tptp.iV21026))) (let ((_let_30 (tptp.cC38 tptp.iV21026))) (let ((_let_31 (tptp.cC84 tptp.iV21026))) (let ((_let_32 (tptp.cC20 tptp.iV21026))) (let ((_let_33 (tptp.cC114 tptp.iV21026))) (let ((_let_34 (tptp.cC132 tptp.iV21026))) (let ((_let_35 (tptp.cC16 tptp.iV21026))) (let ((_let_36 (tptp.cC78 tptp.iV21026))) (let ((_let_37 (tptp.cC180 tptp.iV21026))) (let ((_let_38 (tptp.cC154 tptp.iV21026))) (let ((_let_39 (tptp.cC60 tptp.iV21026))) (let ((_let_40 (tptp.cC22 tptp.iV21026))) (let ((_let_41 (tptp.cC110 tptp.iV21026))) (let ((_let_42 (tptp.cC158 tptp.iV21026))) (let ((_let_43 (tptp.cC56 tptp.iV21026))) (let ((_let_44 (tptp.cC58 tptp.iV21026))) (let ((_let_45 (tptp.cowlThing tptp.iV21026))) (let ((_let_46 (tptp.cC90 tptp.iV21026))) (let ((_let_47 (tptp.cC10 tptp.iV21026))) (let ((_let_48 (tptp.cC136 tptp.iV21026))) (let ((_let_49 (tptp.cC40 tptp.iV21026))) (let ((_let_50 (tptp.cC108 tptp.iV21026))) (let ((_let_51 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_52 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))) (let ((_let_53 (tptp.cC12xcomp tptp.iV21033))) (let ((_let_54 (tptp.cC74xcomp tptp.iV21030))) (let ((_let_55 (tptp.cC18xcomp tptp.iV21030))) (let ((_let_56 (tptp.cC68xcomp tptp.iV21030))) (let ((_let_57 (tptp.rR1 tptp.iV21029 tptp.iV21033))) (let ((_let_58 (tptp.cC46xcomp tptp.iV21029))) (let ((_let_59 (tptp.cC12xcomp tptp.iV21029))) (let ((_let_60 (tptp.cC32xcomp tptp.iV21027))) (let ((_let_61 (tptp.cC26xcomp tptp.iV21027))) (let ((_let_62 (tptp.cC2xcomp tptp.iV21027))) (let ((_let_63 (tptp.rR1 tptp.iV21026 tptp.iV21027))) (let ((_let_64 (tptp.cTEST tptp.iV21026))) (let ((_let_65 (tptp.cC48xcomp tptp.iV21026))) (let ((_let_66 (tptp.cC172xcomp tptp.iV21026))) (let ((_let_67 (tptp.cC70xcomp tptp.iV21026))) (let ((_let_68 (tptp.cC162xcomp tptp.iV21026))) (let ((_let_69 (tptp.cC122xcomp tptp.iV21026))) (let ((_let_70 (tptp.cC54xcomp tptp.iV21026))) (let ((_let_71 (tptp.cC28xcomp tptp.iV21026))) (let ((_let_72 (tptp.cC144xcomp tptp.iV21026))) (let ((_let_73 (tptp.cC34xcomp tptp.iV21026))) (let ((_let_74 (tptp.cC106xcomp tptp.iV21026))) (let ((_let_75 (tptp.cC166xcomp tptp.iV21026))) (let ((_let_76 (tptp.cC128xcomp tptp.iV21026))) (let ((_let_77 (tptp.cC98xcomp tptp.iV21026))) (let ((_let_78 (tptp.cC76xcomp tptp.iV21026))) (let ((_let_79 (tptp.cTOP tptp.iV21026))) (let ((_let_80 (tptp.cC150xcomp tptp.iV21026))) (let ((_let_81 (forall ((X $$unsorted)) (= (tptp.cTEST X) (and (tptp.cC158 X) (tptp.cC180 X)))))) (let ((_let_82 (forall ((X $$unsorted)) (= (tptp.cC88 X) (tptp.cTOP X))))) (let ((_let_83 (forall ((X $$unsorted)) (= (tptp.cC86 X) (and (tptp.cC82 X) (tptp.cC84 X)))))) (let ((_let_84 (forall ((X $$unsorted)) (= (tptp.cC84 X) (tptp.cTOP X))))) (let ((_let_85 (forall ((X $$unsorted)) (= (tptp.cC82 X) (and (tptp.cC64 X) (tptp.cC80 X)))))) (let ((_let_86 (forall ((X $$unsorted)) (= (tptp.cC80 X) (and (tptp.cC78 X) (tptp.cTOP X)))))) (let ((_let_87 (forall ((X $$unsorted)) (= (tptp.cC78 X) (and (tptp.cC70xcomp X) (tptp.cC76xcomp X)))))) (let ((_let_88 (forall ((X $$unsorted)) (= (tptp.cC74xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px87 X Y))))))) (let ((_let_89 (forall ((X $$unsorted)) (= (tptp.cC74 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px87 X Y0)))))) (let ((_let_90 (forall ((X $$unsorted)) (= (tptp.cC74 X) (and (tptp.cC72xcomp X) (tptp.cC18xcomp X)))))) (let ((_let_91 (forall ((X $$unsorted)) (= (tptp.cC72xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px24 X Y))))))) (let ((_let_92 (forall ((X $$unsorted)) (= (tptp.cC72 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px24 X Y0)))))) (let ((_let_93 (forall ((X $$unsorted)) (= (tptp.cC68xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px88 X Y0)))))) (let ((_let_94 (forall ((X $$unsorted)) (= (tptp.cC68 X) (and (tptp.cC18xcomp X) (tptp.cC66xcomp X)))))) (let ((_let_95 (forall ((X $$unsorted)) (= (tptp.cC68 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px88 X Y))))))) (let ((_let_96 (forall ((X $$unsorted)) (= (tptp.cC66xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px21 X Y))))))) (let ((_let_97 (forall ((X $$unsorted)) (= (tptp.cC66 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px21 X Y0)))))) (let ((_let_98 (forall ((X $$unsorted)) (= (tptp.cC64 X) (and (tptp.cC60 X) (tptp.cC62 X)))))) (let ((_let_99 (forall ((X $$unsorted)) (= (tptp.cC62 X) (tptp.cTOP X))))) (let ((_let_100 (forall ((X $$unsorted)) (= (tptp.cC60 X) (and (tptp.cC58 X) (tptp.cC42 X)))))) (let ((_let_101 (forall ((X $$unsorted)) (= (tptp.cC58 X) (and (tptp.cC56 X) (tptp.cTOP X)))))) (let ((_let_102 (forall ((X $$unsorted)) (= (tptp.cC56 X) (and (tptp.cC48xcomp X) (tptp.cC54xcomp X)))))) (let ((_let_103 (forall ((X $$unsorted)) (= (tptp.cC50 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC12xcomp Y))))))) (let ((_let_104 (forall ((X $$unsorted)) (= (tptp.cC46xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px90 X Y))))))) (let ((_let_105 (forall ((X $$unsorted)) (= (tptp.cC46 X) (and (tptp.cC44xcomp X) (tptp.cC12xcomp X)))))) (let ((_let_106 (forall ((X $$unsorted)) (= (tptp.cC46 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px90 X Y0)))))) (let ((_let_107 (forall ((X $$unsorted)) (= (tptp.cC44xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px13 X Y0)))))) (let ((_let_108 (forall ((X $$unsorted)) (= (tptp.cC44 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px13 X Y))))))) (let ((_let_109 (forall ((X $$unsorted)) (= (tptp.cC42 X) (and (tptp.cC40 X) (tptp.cC38 X)))))) (let ((_let_110 (forall ((X $$unsorted)) (= (tptp.cC40 X) (tptp.cTOP X))))) (let ((_let_111 (forall ((X $$unsorted)) (= (tptp.cC4 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2xcomp Y))))))) (let ((_let_112 (forall ((X $$unsorted)) (= (tptp.cC38 X) (and (tptp.cC36 X) (tptp.cTOP X)))))) (let ((_let_113 (forall ((X $$unsorted)) (= (tptp.cC36 X) (and (tptp.cC34xcomp X) (tptp.cC28xcomp X)))))) (let ((_let_114 (forall ((X $$unsorted)) (= (tptp.cC32xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px91 X Y0)))))) (let ((_let_115 (forall ((X $$unsorted)) (= (tptp.cC32 X) (and (tptp.cC2xcomp X) (tptp.cC30xcomp X)))))) (let ((_let_116 (forall ((X $$unsorted)) (= (tptp.cC32 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px91 X Y))))))) (let ((_let_117 (forall ((X $$unsorted)) (= (tptp.cC30xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px8 X Y))))))) (let ((_let_118 (forall ((X $$unsorted)) (= (tptp.cC30 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px8 X Y0)))))) (let ((_let_119 (forall ((X $$unsorted)) (= (tptp.cC26xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px92 X Y))))))) (let ((_let_120 (forall ((X $$unsorted)) (= (tptp.cC26 X) (and (tptp.cC24xcomp X) (tptp.cC2xcomp X)))))) (let ((_let_121 (forall ((X $$unsorted)) (= (tptp.cC26 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px92 X Y0)))))) (let ((_let_122 (forall ((X $$unsorted)) (= (tptp.cC24xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px5 X Y))))))) (let ((_let_123 (forall ((X $$unsorted)) (= (tptp.cC24 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px5 X Y0)))))) (let ((_let_124 (forall ((X $$unsorted)) (= (tptp.cC22 X) (and (tptp.cC20 X) (tptp.cC16 X)))))) (let ((_let_125 (forall ((X $$unsorted)) (= (tptp.cC174 X) (and (tptp.cC172xcomp X) (tptp.cC168 X)))))) (let ((_let_126 (forall ((X $$unsorted)) (= (tptp.cC168 X) (and (tptp.cC162xcomp X) (tptp.cC166xcomp X)))))) (let ((_let_127 (forall ((X $$unsorted)) (= (tptp.cC16 X) (and (tptp.cC10 X) (tptp.cC14 X)))))) (let ((_let_128 (forall ((X $$unsorted)) (= (tptp.cC158 X) (and (tptp.cC22 X) (tptp.cC156 X)))))) (let ((_let_129 (forall ((X $$unsorted)) (= (tptp.cC156 X) (and (tptp.cC154 X) (tptp.cC138 X)))))) (let ((_let_130 (forall ((X $$unsorted)) (= (tptp.cC154 X) (and (tptp.cC152 X) (tptp.cTOP X)))))) (let ((_let_131 (forall ((X $$unsorted)) (= (tptp.cC152 X) (and (tptp.cC144xcomp X) (tptp.cC150xcomp X)))))) (let ((_let_132 (forall ((X $$unsorted)) (= (tptp.cC138 X) (and (tptp.cC136 X) (tptp.cC134 X)))))) (let ((_let_133 (forall ((X $$unsorted)) (= (tptp.cC136 X) (tptp.cTOP X))))) (let ((_let_134 (forall ((X $$unsorted)) (= (tptp.cC134 X) (and (tptp.cC116 X) (tptp.cC132 X)))))) (let ((_let_135 (forall ((X $$unsorted)) (= (tptp.cC132 X) (and (tptp.cC130 X) (tptp.cTOP X)))))) (let ((_let_136 (forall ((X $$unsorted)) (= (tptp.cC130 X) (and (tptp.cC128xcomp X) (tptp.cC122xcomp X)))))) (let ((_let_137 (forall ((X $$unsorted)) (= (tptp.cC116 X) (and (tptp.cC114 X) (tptp.cC112 X)))))) (let ((_let_138 (forall ((X $$unsorted)) (= (tptp.cC114 X) (tptp.cTOP X))))) (let ((_let_139 (forall ((X $$unsorted)) (= (tptp.cC112 X) (and (tptp.cC110 X) (tptp.cC90 X)))))) (let ((_let_140 (forall ((X $$unsorted)) (= (tptp.cC110 X) (and (tptp.cC108 X) (tptp.cTOP X)))))) (let ((_let_141 (forall ((X $$unsorted)) (= (tptp.cC108 X) (and (tptp.cC98xcomp X) (tptp.cC106xcomp X)))))) (let ((_let_142 (forall ((X $$unsorted)) (= (tptp.cC10 X) (and (tptp.cC8 X) (tptp.cC4 X)))))) (let ((_let_143 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_144 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_145 (forall ((BOUND_VARIABLE_4051 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_4051)))) (let ((_let_146 (forall ((BOUND_VARIABLE_4056 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_4056))))) (let ((_let_147 (forall ((BOUND_VARIABLE_2880 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_2880)))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_144)) (MACRO_SR_EQ_INTRO :args (_let_144 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (forall ((BOUND_VARIABLE_2885 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_2885))))) (let ((_let_150 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px21 tptp.iV21030 Y0))))) (let ((_let_151 (not _let_150))) (let ((_let_152 (= _let_2 _let_151))) (let ((_let_153 (forall ((X $$unsorted)) (= (tptp.cC66 X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px21 X Y0)))))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_97)) (MACRO_SR_EQ_INTRO :args (_let_97 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (forall ((Y $$unsorted)) (not (tptp.ra_Px21 tptp.iV21030 Y))))) (let ((_let_156 (tptp.cC66xcomp tptp.iV21030))) (let ((_let_157 (= _let_156 _let_155))) (let ((_let_158 (not _let_155))) (let ((_let_159 (forall ((X $$unsorted)) (= (tptp.cC66xcomp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px21 X Y))))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_96)) (MACRO_SR_EQ_INTRO :args (_let_96 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (and _let_55 _let_156))) (let ((_let_162 (not _let_156))) (let ((_let_163 (tptp.cC68 tptp.iV21030))) (let ((_let_164 (= _let_163 _let_161))) (let ((_let_165 (not _let_161))) (let ((_let_166 (_let_94))) (let ((_let_167 (ASSUME :args _let_166))) (let ((_let_168 (forall ((Y $$unsorted)) (not (tptp.ra_Px88 tptp.iV21030 Y))))) (let ((_let_169 (= _let_163 _let_168))) (let ((_let_170 (not _let_163))) (let ((_let_171 (forall ((X $$unsorted)) (= (tptp.cC68 X) (forall ((Y $$unsorted)) (not (tptp.ra_Px88 X Y))))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_95)) (MACRO_SR_EQ_INTRO :args (_let_95 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px88 tptp.iV21030 Y0))))) (let ((_let_174 (not _let_173))) (let ((_let_175 (= _let_56 _let_174))) (let ((_let_176 (forall ((X $$unsorted)) (= (tptp.cC68xcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px88 X Y0)))))))) (let ((_let_177 (EQ_RESOLVE (ASSUME :args 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X Y) (tptp.cC120 Y))))) (forall ((X $$unsorted)) (= (tptp.cC122xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px43 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC124 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px42 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC124 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC92xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC124xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px42 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC126 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px83 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC126 X) (and (tptp.cC124xcomp X) (tptp.cC100xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC126xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px83 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC128 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC126 Y))))) (forall ((X $$unsorted)) (= (tptp.cC128 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px44 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC128xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px44 X Y))))) _let_136 _let_135 _let_134 _let_133 _let_132 (forall ((X $$unsorted)) (= (tptp.cC14 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC12xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC140 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC100xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC140 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px47 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC140xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px47 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC142 X) (and (tptp.cC140xcomp X) (tptp.cC92xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC142 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px82 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC142xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px82 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC144 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC142 Y))))) (forall ((X $$unsorted)) (= (tptp.cC144 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px51 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC144xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px51 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC146 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px50 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC146 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC100xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC146xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px50 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC148 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px81 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC148 X) (and (tptp.cC100xcomp X) (tptp.cC146xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC148xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px81 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC150 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px52 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC150 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC148 Y))))) (forall ((X $$unsorted)) (= (tptp.cC150xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px52 X Y0)))) _let_131 _let_130 _let_129 _let_128 _let_127 (forall ((X $$unsorted)) (= (tptp.cC160 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px80 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC160 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC6xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC160xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px80 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC162 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px55 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC162 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC160 Y))))) (forall ((X $$unsorted)) (= (tptp.cC162xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px55 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC164 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC92xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC164 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px79 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC164xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px79 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC166 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC164 Y))))) (forall ((X $$unsorted)) (= (tptp.cC166 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px56 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC166xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px56 X Y))))) _let_126 (forall ((X $$unsorted)) (= (tptp.cC170 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px78 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC170 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC18xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC170xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px78 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC172 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px58 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC172 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC170 Y))))) (forall ((X $$unsorted)) (= (tptp.cC172xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px58 X Y0)))) _let_125 (forall ((X $$unsorted)) (= (tptp.cC176 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px77 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC176 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC100xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC176xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px77 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC178 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px60 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC178 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC176 Y))))) (forall ((X $$unsorted)) (= (tptp.cC178xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px60 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC18 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px2 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC18xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px2 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC180 X) (and (tptp.cC174 X) (tptp.cC178xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC2 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px3 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC2xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px3 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC20 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC18xcomp Y))))) _let_124 _let_123 (forall ((X $$unsorted)) (= (tptp.cC24 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2xcomp Y))))) _let_122 _let_121 _let_120 _let_119 (forall ((X $$unsorted)) (= (tptp.cC28 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC26 Y))))) (forall ((X $$unsorted)) (= (tptp.cC28 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px9 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC28xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px9 X Y))))) _let_118 (forall ((X $$unsorted)) (= (tptp.cC30 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC12xcomp Y))))) _let_117 _let_116 _let_115 _let_114 (forall ((X $$unsorted)) (= (tptp.cC34 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px10 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC34 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC32 Y))))) (forall ((X $$unsorted)) (= (tptp.cC34xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px10 X Y0)))) _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 (forall ((X $$unsorted)) (= (tptp.cC44 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2xcomp Y))))) _let_107 _let_106 _let_105 _let_104 (forall ((X $$unsorted)) (= (tptp.cC48 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px17 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC48 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC46 Y))))) (forall ((X $$unsorted)) (= (tptp.cC48xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px17 X Y))))) _let_103 (forall ((X $$unsorted)) (= (tptp.cC50 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px16 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC50xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px16 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC52 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px89 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC52 X) (and (tptp.cC50xcomp X) (tptp.cC12xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC52xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px89 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC54 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC52 Y))))) (forall ((X $$unsorted)) (= (tptp.cC54 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px18 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC54xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px18 X Y))))) _let_102 _let_101 (forall ((X $$unsorted)) (= (tptp.cC6 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px27 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC6xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px27 X Y))))) _let_100 _let_99 _let_98 _let_97 (forall ((X $$unsorted)) (= (tptp.cC66 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC2xcomp Y))))) _let_96 _let_95 _let_94 _let_93 (forall ((X $$unsorted)) (= (tptp.cC70 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC68 Y))))) (forall ((X $$unsorted)) (= (tptp.cC70 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px25 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC70xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px25 X Y0)))) _let_92 (forall ((X $$unsorted)) (= (tptp.cC72 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC12xcomp Y))))) _let_91 _let_90 _let_89 _let_88 (forall ((X $$unsorted)) (= (tptp.cC76 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC74 Y))))) (forall ((X $$unsorted)) (= (tptp.cC76 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px26 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC76xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px26 X Y))))) _let_87 (forall ((X $$unsorted)) (= (tptp.cC8 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC6xcomp Y))))) _let_86 _let_85 _let_84 _let_83 _let_82 (forall ((X $$unsorted)) (= (tptp.cC90 X) (and (tptp.cC86 X) (tptp.cC88 X)))) (forall ((X $$unsorted)) (= (tptp.cC92 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px28 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC92xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px28 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC94 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px29 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC94 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC6xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC94xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px29 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC96 X) (and (tptp.cC94xcomp X) (tptp.cC92xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC96 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px86 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC96xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px86 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC98 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC96 Y))))) (forall ((X $$unsorted)) (= (tptp.cC98 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px35 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC98xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px35 X Y))))) _let_81 _let_80 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC170xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC46xcomp X))) _let_79 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC160xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC176xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC164xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC148xcomp X))) _let_78 _let_77 _let_76 _let_75 _let_74 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC120xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC68xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC26xcomp X))) _let_73 _let_72 _let_71 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC104xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC126xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC96xcomp X))) _let_70 _let_69 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC52xcomp X))) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC142xcomp X))) _let_68 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC32xcomp X))) _let_67 _let_66 _let_65 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21026 X) (tptp.cC74xcomp X))) _let_45 (tptp.cC178xcomp tptp.iV21026) _let_64 (tptp.rR1 tptp.iV21026 tptp.iV21030) _let_63 (tptp.rR1 tptp.iV21026 tptp.iV21028) (tptp.rR1 tptp.iV21026 tptp.iV21029) (tptp.cC12 tptp.iV21027) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21027 X) (tptp.cC18 X))) (tptp.cC176xcomp tptp.iV21027) (tptp.cC96xcomp tptp.iV21027) (tptp.cC170xcomp tptp.iV21027) (tptp.cC120xcomp tptp.iV21027) (tptp.cC92 tptp.iV21027) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21027 X) (tptp.cC6 X))) (tptp.cC148xcomp tptp.iV21027) (tptp.cC142xcomp tptp.iV21027) (tptp.cC68xcomp tptp.iV21027) _let_62 (tptp.cC18 tptp.iV21027) (tptp.cC52xcomp tptp.iV21027) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21027 X) (tptp.cC100 X))) (tptp.cC104xcomp tptp.iV21027) _let_61 (tptp.cC46xcomp tptp.iV21027) (tptp.cC126xcomp tptp.iV21027) (tptp.cC164xcomp tptp.iV21027) (tptp.cC100 tptp.iV21027) (tptp.cC160xcomp tptp.iV21027) _let_8 (tptp.cC74xcomp tptp.iV21027) _let_60 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21027 X) (tptp.cC92 X))) (tptp.rR1 tptp.iV21027 tptp.iV21036) (tptp.rR1 tptp.iV21027 tptp.iV21035) (tptp.cowlThing tptp.iV21028) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21029 X) (tptp.cC6 X))) (tptp.cC176xcomp tptp.iV21029) (tptp.cC96xcomp tptp.iV21029) (tptp.cC120xcomp tptp.iV21029) (tptp.cC170xcomp tptp.iV21029) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21029 X) (tptp.cC18 X))) (tptp.cC92 tptp.iV21029) (tptp.cC148xcomp tptp.iV21029) (tptp.cC142xcomp tptp.iV21029) (tptp.cC68xcomp tptp.iV21029) _let_59 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21029 X) (tptp.cC92 X))) (tptp.cC18 tptp.iV21029) (tptp.cC52xcomp tptp.iV21029) (tptp.cC104xcomp tptp.iV21029) (tptp.cC2 tptp.iV21029) (tptp.cC26xcomp tptp.iV21029) _let_58 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21029 X) (tptp.cC100 X))) (tptp.cC126xcomp tptp.iV21029) (tptp.cC164xcomp tptp.iV21029) (tptp.cC100 tptp.iV21029) (tptp.cC160xcomp tptp.iV21029) _let_4 (tptp.cC74xcomp tptp.iV21029) (tptp.cC32xcomp tptp.iV21029) (tptp.rR1 tptp.iV21029 tptp.iV21034) _let_57 (tptp.cC12 tptp.iV21030) (tptp.cC176xcomp tptp.iV21030) (tptp.cC96xcomp tptp.iV21030) (tptp.cC170xcomp tptp.iV21030) (tptp.cC120xcomp tptp.iV21030) (tptp.cC92 tptp.iV21030) (tptp.cC148xcomp tptp.iV21030) (tptp.cC142xcomp tptp.iV21030) _let_56 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21030 X) (tptp.cC6 X))) _let_55 (tptp.cC52xcomp tptp.iV21030) (tptp.cC104xcomp tptp.iV21030) (tptp.cC2 tptp.iV21030) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21030 X) (tptp.cC100 X))) (tptp.cC26xcomp tptp.iV21030) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21030 X) (tptp.cC18 X))) (tptp.cC46xcomp tptp.iV21030) (tptp.cC126xcomp tptp.iV21030) (tptp.cC164xcomp tptp.iV21030) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV21030 X) (tptp.cC92 X))) (tptp.cC100 tptp.iV21030) (tptp.cC160xcomp tptp.iV21030) _let_1 _let_54 (tptp.cC32xcomp tptp.iV21030) (tptp.rR1 tptp.iV21030 tptp.iV21032) (tptp.rR1 tptp.iV21030 tptp.iV21031) (tptp.cowlThing tptp.iV21031) (tptp.cC2xcomp tptp.iV21032) (tptp.cC92 tptp.iV21032) (tptp.cC100 tptp.iV21032) (tptp.cC6 tptp.iV21032) (tptp.cowlThing tptp.iV21032) (tptp.cC18 tptp.iV21032) (tptp.cC92 tptp.iV21033) _let_53 (tptp.cC100 tptp.iV21033) (tptp.cC6 tptp.iV21033) (tptp.cowlThing tptp.iV21033) (tptp.cC18 tptp.iV21033) (tptp.cC92 tptp.iV21034) (tptp.cC2xcomp tptp.iV21034) (tptp.cC100 tptp.iV21034) (tptp.cC6 tptp.iV21034) (tptp.cowlThing tptp.iV21034) (tptp.cC18 tptp.iV21034) (tptp.cC92 tptp.iV21035) (tptp.cC12xcomp tptp.iV21035) (tptp.cC100 tptp.iV21035) (tptp.cC6 tptp.iV21035) (tptp.cowlThing tptp.iV21035) (tptp.cC18 tptp.iV21035) (tptp.cC92 tptp.iV21036) (tptp.cC2xcomp tptp.iV21036) (tptp.cC100 tptp.iV21036) (tptp.cC6 tptp.iV21036) (tptp.cowlThing tptp.iV21036) (tptp.cC18 tptp.iV21036) _let_52 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.69/0.90 )
% 0.69/0.90 % SZS output end Proof for KRS159+1
% 0.69/0.90 % cvc5---1.0.5 exiting
% 0.69/0.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------