TSTP Solution File: KRS154+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS154+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 05:41:38 EDT 2023
% Result : Theorem 0.22s 0.65s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : KRS154+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 02:20:34 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.65 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XwXEeExL6Q/cvc5---1.0.5_31563.p...
% 0.22/0.65 ------- get file name : TPTP file name is KRS154+1
% 0.22/0.65 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31563.smt2...
% 0.22/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.65 % SZS status Theorem for KRS154+1
% 0.22/0.65 % SZS output start Proof for KRS154+1
% 0.22/0.65 (
% 0.22/0.65 (let ((_let_1 (tptp.cC56 tptp.iV822576))) (let ((_let_2 (tptp.cC136 tptp.iV822576))) (let ((_let_3 (tptp.cC110 tptp.iV822576))) (let ((_let_4 (tptp.cC80 tptp.iV822576))) (let ((_let_5 (tptp.cC94 tptp.iV822576))) (let ((_let_6 (tptp.cowlThing tptp.iV822576))) (let ((_let_7 (tptp.cC114 tptp.iV822576))) (let ((_let_8 (tptp.cC116 tptp.iV822576))) (let ((_let_9 (tptp.cC58 tptp.iV822576))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_11 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))) (let ((_let_12 (tptp.cC92xcomp tptp.iV822576))) (let ((_let_13 (tptp.cC10xcomp tptp.iV822576))) (let ((_let_14 (tptp.cC34 tptp.iV822576))) (let ((_let_15 (tptp.cC86xcomp tptp.iV822576))) (let ((_let_16 (tptp.cC134xcomp tptp.iV822576))) (let ((_let_17 (tptp.cC78xcomp tptp.iV822576))) (let ((_let_18 (tptp.cC96xcomp tptp.iV822576))) (let ((_let_19 (tptp.cC76xcomp tptp.iV822576))) (let ((_let_20 (tptp.cC112xcomp tptp.iV822576))) (let ((_let_21 (tptp.cC4 tptp.iV822576))) (let ((_let_22 (tptp.cC108xcomp tptp.iV822576))) (let ((_let_23 (tptp.cC102xcomp tptp.iV822576))) (let ((_let_24 (forall ((X $$unsorted)) (= (tptp.cC94 X) (and (tptp.cC86xcomp X) (tptp.cC92xcomp X)))))) (let ((_let_25 (forall ((X $$unsorted)) (= (tptp.cC80 X) (and (tptp.cC78xcomp X) (tptp.cC76xcomp X)))))) (let ((_let_26 (forall ((X $$unsorted)) (= (tptp.cC58 X) (and (tptp.cC34 X) (tptp.cC56 X)))))) (let ((_let_27 (forall ((X $$unsorted)) (= (tptp.cC56 X) (and (tptp.cC4 X) (tptp.cC10xcomp X)))))) (let ((_let_28 (forall ((X $$unsorted)) (= (tptp.cC136 X) (and (tptp.cC134xcomp X) (tptp.cC116 X)))))) (let ((_let_29 (forall ((X $$unsorted)) (= (tptp.cC116 X) (and (tptp.cC114 X) (tptp.cC80 X)))))) (let ((_let_30 (forall ((X $$unsorted)) (= (tptp.cC114 X) (and (tptp.cC112xcomp X) (tptp.cC96xcomp X)))))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.cC110 X) (and (tptp.cC102xcomp X) (tptp.cC108xcomp X)))))) (let ((_let_32 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_33 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_34 (and _let_16 _let_8))) (let ((_let_35 (= _let_2 _let_34))) (let ((_let_36 (forall ((BOUND_VARIABLE_2794 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_2794))))) (let ((_let_37 (forall ((BOUND_VARIABLE_2789 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_2789)))) (let ((_let_38 (not _let_2))) (let ((_let_39 (forall ((BOUND_VARIABLE_2119 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_2119))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (forall ((BOUND_VARIABLE_2114 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_2114)))) (let ((_let_42 (and _let_21 _let_13))) (let ((_let_43 (= _let_1 _let_42))) (let ((_let_44 (_let_27))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_43)) :args ((or _let_1 (not _let_42) (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_42)) :args ((or (not _let_21) (not _let_13) _let_42))) (ASSUME :args (_let_21)) (ASSUME :args (_let_13)) :args (_let_42 false _let_21 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC56 X)))) :args _let_44)) _let_45 :args (_let_43 false _let_27)) :args (_let_1 false _let_42 false _let_43)))) (let ((_let_47 (and _let_23 _let_22))) (let ((_let_48 (= _let_3 _let_47))) (let ((_let_49 (_let_31))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (and _let_17 _let_19))) (let ((_let_52 (= _let_4 _let_51))) (let ((_let_53 (_let_25))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_52)) :args ((or _let_4 (not _let_51) (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_51)) :args ((or (not _let_19) (not _let_17) _let_51))) (ASSUME :args (_let_19)) (ASSUME :args (_let_17)) :args (_let_51 false _let_19 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC80 X)))) :args _let_53)) _let_54 :args (_let_52 false _let_25)) :args (_let_4 false _let_51 false _let_52)))) (let ((_let_56 (and _let_15 _let_12))) (let ((_let_57 (= _let_5 _let_56))) (let ((_let_58 (_let_24))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (and _let_20 _let_18))) (let ((_let_61 (= _let_7 _let_60))) (let ((_let_62 (_let_30))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_7 (not _let_60) (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_60)) :args ((or (not _let_20) (not _let_18) _let_60))) (ASSUME :args (_let_20)) (ASSUME :args (_let_18)) :args (_let_60 false _let_20 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC114 X)))) :args _let_62)) _let_63 :args (_let_61 false _let_30)) :args (_let_7 false _let_60 false _let_61)))) (let ((_let_65 (and _let_7 _let_4))) (let ((_let_66 (= _let_8 _let_65))) (let ((_let_67 (_let_29))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (not _let_4))) (let ((_let_70 (not _let_7))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_66)) :args ((or _let_8 (not _let_65) (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_65)) :args ((or _let_70 _let_69 _let_65))) _let_64 _let_55 :args (_let_65 false _let_7 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC116 X)))) :args _let_67)) _let_68 :args (_let_66 false _let_29)) :args (_let_8 false _let_65 false _let_66)))) (let ((_let_72 (and _let_14 _let_1))) (let ((_let_73 (= _let_9 _let_72))) (let ((_let_74 (_let_26))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (not _let_1))) (let ((_let_77 (not _let_8))) (let ((_let_78 (_let_28))) (let ((_let_79 (ASSUME :args _let_78))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_35)) :args ((or _let_2 (not _let_34) (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC136 X)))) :args _let_78)) _let_79 :args (_let_35 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_34)) :args ((or (not _let_16) _let_77 _let_34))) (ASSUME :args (_let_16)) _let_71 :args (_let_34 false _let_16 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT)))) :args ((or (not _let_6) (not _let_10) (not _let_9) _let_77 _let_70 (not _let_5) _let_69 (not _let_3) _let_38 _let_76 (not _let_37) (not _let_36)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_32 (= X X)))) :args ((or _let_10 (not _let_32)))) (ASSUME :args (_let_32)) :args (_let_10 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_73)) :args ((or _let_9 (not _let_72) (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_72)) :args ((or (not _let_14) _let_76 _let_72))) (ASSUME :args (_let_14)) _let_46 :args (_let_72 false _let_14 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC58 X)))) :args _let_74)) _let_75 :args (_let_73 false _let_26)) :args (_let_9 false _let_72 false _let_73)) _let_71 _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_5 (not _let_56) (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_56)) :args ((or (not _let_15) (not _let_12) _let_56))) (ASSUME :args (_let_15)) (ASSUME :args (_let_12)) :args (_let_56 false _let_15 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC94 X)))) :args _let_58)) _let_59 :args (_let_57 false _let_24)) :args (_let_5 false _let_56 false _let_57)) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_48)) :args ((or _let_3 (not _let_47) (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_47)) :args ((or (not _let_23) (not _let_22) _let_47))) (ASSUME :args (_let_23)) (ASSUME :args (_let_22)) :args (_let_47 false _let_23 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.iV822576 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cC110 X)))) :args _let_49)) _let_50 :args (_let_48 false _let_31)) :args (_let_3 false _let_47 false _let_48)) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_41 (= BOUND_VARIABLE_2114 BOUND_VARIABLE_2789)))) :args ((or _let_37 (not _let_41)))) (AND_ELIM _let_40 :args (0)) :args (_let_37 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_39 (= BOUND_VARIABLE_2119 BOUND_VARIABLE_2794)))) :args ((or _let_36 (not _let_39)))) (AND_ELIM _let_40 :args (1)) :args (_let_36 false _let_39)) :args (_let_38 false _let_6 false _let_10 false _let_9 false _let_8 false _let_7 false _let_5 false _let_4 false _let_3 false _let_1 false _let_37 false _let_36)) :args (false false _let_35 false _let_34 true _let_2)) :args (_let_33 _let_32 (forall ((X $$unsorted)) (= (tptp.cC10 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px16 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC10xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px16 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC100 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC98 Y))))) (forall ((X $$unsorted)) (= (tptp.cC100 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px49 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC100xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px49 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC102 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px35 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC102 X) (and (tptp.cC34 X) (tptp.cC100 X)))) (forall ((X $$unsorted)) (= (tptp.cC102xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px35 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC104 X) (and (tptp.cC4 X) (tptp.cC34 X)))) (forall ((X $$unsorted)) (= (tptp.cC106 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC104 Y))))) (forall ((X $$unsorted)) (= (tptp.cC108 X) (and (tptp.cC34xcomp X) (tptp.cC106 X)))) (forall ((X $$unsorted)) (= (tptp.cC108 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px36 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC108xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px36 X Y))))) _let_31 (forall ((X $$unsorted)) (= (tptp.cC110 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px37 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC110xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px37 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC112 X) (and (tptp.cC4 X) (tptp.cC110xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC112 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px39 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC112xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px39 X Y))))) _let_30 _let_29 (forall ((X $$unsorted)) (= (tptp.cC118 X) (and (tptp.cC4 X) (tptp.cC10xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC12 X) (and (tptp.cC10 X) (tptp.cC4xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC12 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px3 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC12xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px3 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC120 X) (and (tptp.cC118 X) (tptp.cC34 X)))) (forall ((X $$unsorted)) (= (tptp.cC122 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC120 Y))))) (forall ((X $$unsorted)) (= (tptp.cC124 X) (and (tptp.cC4 X) (tptp.cC10xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC126 X) (and (tptp.cC34xcomp X) (tptp.cC124 X)))) (forall ((X $$unsorted)) (= (tptp.cC128 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC126 Y))))) (forall ((X $$unsorted)) (= (tptp.cC130 X) (and (tptp.cC128 X) (tptp.cC122 X)))) (forall ((X $$unsorted)) (= (tptp.cC130 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px44 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC130xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px44 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC132 X) (and (tptp.cC2 X) (tptp.cC4xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC132 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px48 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC132xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px48 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC134 X) (and (tptp.cC130xcomp X) (tptp.cC132 X)))) (forall ((X $$unsorted)) (= (tptp.cC134 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px45 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC134xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px45 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC136 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px46 X Y))))) _let_28 (forall ((X $$unsorted)) (= (tptp.cC136xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px46 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC138 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC136xcomp Y))))) (forall ((X $$unsorted)) (= (tptp.cC138 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px47 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC138xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px47 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC14 X) (and (tptp.cC12xcomp X) (tptp.cC8xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC140 X) (and (tptp.cC74 X) (tptp.cC138xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC16 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px4 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC16xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px4 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC18 X) (and (tptp.cC2 X) (tptp.cC16xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC18 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px56 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC18xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px56 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC2 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px22 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC2xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px22 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC20 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC18 Y))))) (forall ((X $$unsorted)) (= (tptp.cC22 X) (and (tptp.cC16 X) (tptp.cC20 X)))) (forall ((X $$unsorted)) (= (tptp.cC22 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px6 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC22xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px6 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC24 X) (and (tptp.cC16 X) (tptp.cC2 X)))) (forall ((X $$unsorted)) (= (tptp.cC26 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC24 Y))))) (forall ((X $$unsorted)) (= (tptp.cC28 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px7 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC28 X) (and (tptp.cC26 X) (tptp.cC16xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC28xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px7 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC30 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px8 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC30 X) (and (tptp.cC22xcomp X) (tptp.cC28xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC30xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px8 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC32 X) (and (tptp.cC2 X) (tptp.cC30xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC32 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px14 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC32xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px14 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC34 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px9 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC34xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px9 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC36 X) (and (tptp.cC34xcomp X) (tptp.cC4 X)))) (forall ((X $$unsorted)) (= (tptp.cC38 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC36 Y))))) (forall ((X $$unsorted)) (= (tptp.cC4 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC4xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC40 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px11 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC40 X) (and (tptp.cC34 X) (tptp.cC38 X)))) (forall ((X $$unsorted)) (= (tptp.cC40xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px11 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC42 X) (and (tptp.cC4 X) (tptp.cC34 X)))) (forall ((X $$unsorted)) (= (tptp.cC44 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC42 Y))))) (forall ((X $$unsorted)) (= (tptp.cC46 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px12 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC46 X) (and (tptp.cC34xcomp X) (tptp.cC44 X)))) (forall ((X $$unsorted)) (= (tptp.cC46xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px12 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC48 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px13 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC48 X) (and (tptp.cC40xcomp X) (tptp.cC46xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC48xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px13 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC50 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px15 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC50 X) (and (tptp.cC4 X) (tptp.cC48xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC50xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px15 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC52 X) (and (tptp.cC32xcomp X) (tptp.cC50xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC54 X) (and (tptp.cC14 X) (tptp.cC52 X)))) _let_27 _let_26 (forall ((X $$unsorted)) (= (tptp.cC6 X) (and (tptp.cC2 X) (tptp.cC4xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC60 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC58 Y))))) (forall ((X $$unsorted)) (= (tptp.cC62 X) (and (tptp.cC4 X) (tptp.cC10xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC64 X) (and (tptp.cC34xcomp X) (tptp.cC62 X)))) (forall ((X $$unsorted)) (= (tptp.cC66 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC64 Y))))) (forall ((X $$unsorted)) (= (tptp.cC68 X) (and (tptp.cC66 X) (tptp.cC60 X)))) (forall ((X $$unsorted)) (= (tptp.cC68 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px20 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC68xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px20 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC70 X) (and (tptp.cC2 X) (tptp.cC4xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC72 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px21 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC72 X) (and (tptp.cC70 X) (tptp.cC68xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC72xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px21 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC74 X) (and (tptp.cC54 X) (tptp.cC72xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC76 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px24 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC76 X) (and (tptp.cC4 X) (tptp.cC2xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC76xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px24 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC78 X) (and (tptp.cC10 X) (tptp.cC4xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC78 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px25 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC78xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px25 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC8 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px2 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC8 X) (and (tptp.cC4 X) (tptp.cC2xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC8xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px2 X Y))))) _let_25 (forall ((X $$unsorted)) (= (tptp.cC82 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px65 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC82 X) (and (tptp.cC2 X) (tptp.cC16xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC82xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px65 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC84 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px53 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC84 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC82 Y))))) (forall ((X $$unsorted)) (= (tptp.cC84xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px53 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC86 X) (and (tptp.cC16 X) (tptp.cC84 X)))) (forall ((X $$unsorted)) (= (tptp.cC86 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px28 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC86xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px28 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC88 X) (and (tptp.cC16 X) (tptp.cC2 X)))) (forall ((X $$unsorted)) (= (tptp.cC88 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px64 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC88xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px64 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC90 X) (exists ((Y $$unsorted)) (and (tptp.rR1 X Y) (tptp.cC88 Y))))) (forall ((X $$unsorted)) (= (tptp.cC90 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px52 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC90xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px52 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC92 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px29 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC92 X) (and (tptp.cC90 X) (tptp.cC16xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC92xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px29 X Y))))) _let_24 (forall ((X $$unsorted)) (= (tptp.cC94 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px30 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC94xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px30 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC96 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px38 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC96 X) (and (tptp.cC2 X) (tptp.cC94xcomp X)))) (forall ((X $$unsorted)) (= (tptp.cC96xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px38 X Y))))) (forall ((X $$unsorted)) (= (tptp.cC98 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px63 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cC98 X) (and (tptp.cC34xcomp X) (tptp.cC4 X)))) (forall ((X $$unsorted)) (= (tptp.cC98xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px63 X Y))))) (forall ((X $$unsorted)) (= (tptp.cTEST X) (and (tptp.cC6 X) (tptp.cC140 X)))) (tptp.cC16 tptp.iV822576) _let_23 _let_22 _let_21 (tptp.cC18xcomp tptp.iV822576) _let_20 _let_19 _let_18 (tptp.cC132xcomp tptp.iV822576) (tptp.cC100xcomp tptp.iV822576) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV822576 X) (tptp.cC98xcomp X))) (tptp.cC90xcomp tptp.iV822576) _let_17 (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV822576 X) (tptp.cC82xcomp X))) _let_16 _let_15 _let_14 (tptp.cC84xcomp tptp.iV822576) (forall ((X $$unsorted)) (=> (tptp.rR1 tptp.iV822576 X) (tptp.cC88xcomp X))) (tptp.cC2 tptp.iV822576) _let_6 _let_13 _let_12 _let_11 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.66 )
% 0.22/0.66 % SZS output end Proof for KRS154+1
% 0.22/0.66 % cvc5---1.0.5 exiting
% 0.22/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------