TSTP Solution File: NUN068+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN068+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 12:46:22 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN068+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 09:58:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.59 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eUD3WVk2QM/cvc5---1.0.5_13650.p...
% 0.20/0.59 ------- get file name : TPTP file name is NUN068+2
% 0.20/0.59 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13650.smt2...
% 0.20/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.59 % SZS status Theorem for NUN068+2
% 0.20/0.59 % SZS output start Proof for NUN068+2
% 0.20/0.59 (
% 0.20/0.59 (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (forall ((Y2 $$unsorted)) (or (forall ((Y3 $$unsorted)) (or (not (tptp.r1 Y3)) (not (tptp.r2 Y3 Y2)))) (not (= Y1 Y2)))) (forall ((Y4 $$unsorted)) (or (not (tptp.r1 Y4)) (not (= Y1 Y4))))))))) (let ((_let_2 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.r1 Y20)) (not (= Y20 Y10)))) (not (tptp.r2 X7 Y10)))))) (let ((_let_3 (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.r1 Y19) (= X6 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.r2 Y1 Y11) (= X6 Y11))))))) (let ((_let_4 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))))) (let ((_let_5 (forall ((X3 $$unsorted) (X10 $$unsorted)) (or (forall ((Y12 $$unsorted)) (or (forall ((Y13 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))))) (let ((_let_6 (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))) (= Y3 Y2))) (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 X2 Y2) (tptp.r4 X2 X9 Y6)))))))) (let ((_let_7 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))) (= Y5 Y4))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_8 (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (= X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_9 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_10 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))))) (let ((_let_11 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_13 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56))) (let ((_let_18 (not _let_11))) (let ((_let_19 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (not (tptp.r1 Y10)) (not (tptp.r2 X7 Y10)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_26 (forall ((BOUND_VARIABLE_815 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_815))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_815 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_20))) (let ((_let_29 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_815 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_815))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_815)))))) (not (tptp.r1 Y24)))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (not _let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_31) :args (_let_33)) (REWRITE :args ((=> _let_33 (not (or (not (forall ((BOUND_VARIABLE_815 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_815))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_815)))))) _let_20))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) (REFL :args (_let_30)) :args _let_32)) _let_31 :args (_let_30 true _let_29)))) (let ((_let_35 (REFL :args (_let_28)))) (let ((_let_36 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_37 (and _let_36 _let_12))) (let ((_let_38 (not _let_36))) (let ((_let_39 (or _let_38 _let_37))) (let ((_let_40 (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_862 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))))) (let ((_let_41 (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))) (let ((_let_42 (not _let_40))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_862)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_862)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_47 (not _let_44))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_46))) (let ((_let_50 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_51 (_let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_40))) :args _let_32)) :args ((or _let_40 _let_43))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51) (REWRITE :args ((=> _let_47 (not (or (not (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_862)))))) _let_41))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_44))) (REFL :args (_let_45)) :args _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_50) :args _let_49)) _let_48 :args (_let_47 false _let_46)) :args (_let_45 true _let_44)) :args (_let_40 true _let_43)))) (let ((_let_53 (_let_40))) (let ((_let_54 ((not (= (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862) false))))) (let ((_let_55 (ASSUME :args _let_53))) (let ((_let_56 (or _let_38 (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))))) (let ((_let_57 (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1135 $$unsorted) (BOUND_VARIABLE_1128 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1128)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1128 Y2)) (not (tptp.r3 BOUND_VARIABLE_1135 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y2)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1135)))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (forall ((X2 $$unsorted) (X9 $$unsorted)) (not (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1135 $$unsorted) (BOUND_VARIABLE_1128 $$unsorted)) (or (not (tptp.r2 X9 BOUND_VARIABLE_1128)) (not (tptp.r4 X2 BOUND_VARIABLE_1128 Y2)) (not (tptp.r3 BOUND_VARIABLE_1135 X2 Y2)) (not (tptp.r4 X2 X9 BOUND_VARIABLE_1135)))))))) (let ((_let_60 (not _let_57))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_59))) (let ((_let_63 (_let_60))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG (REFL :args (_let_56)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_36))) :args _let_32)) :args ((or _let_36 _let_56))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_57))) (REFL :args (_let_58)) :args _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_25) :args _let_62)) _let_61 :args (_let_60 false _let_59)) :args (_let_58 true _let_57)) :args (_let_36 true _let_56)))) (let ((_let_65 (forall ((Y1 $$unsorted)) (not (tptp.r2 Y1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (forall ((X6 $$unsorted)) (or (tptp.r1 X6) (not (forall ((Y1 $$unsorted)) (not (tptp.r2 Y1 X6)))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 ((not (= (tptp.r1 X6) true))))) (let ((_let_73 (not _let_67))) (let ((_let_74 (or _let_73 _let_38))) (let ((_let_75 ((not (= (tptp.r2 X7 Y10) false))))) (let ((_let_76 (_let_13))) (let ((_let_77 (not _let_13))) (let ((_let_78 (_let_66))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78) (REWRITE :args ((=> _let_66 (not _let_77)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) (REFL :args _let_76) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_66 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_38 _let_73 (not _let_74)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_24)) _let_23 :args (_let_74 false _let_22)) :args (_let_73 false _let_36 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71)) _let_70 :args (_let_68 false _let_69)) :args (_let_66 true _let_67 false _let_68)) :args (_let_13 true _let_65)))) (let ((_let_80 (or _let_14 _let_77 _let_38))) (let ((_let_81 (forall ((X3 $$unsorted) (X10 $$unsorted) (BOUND_VARIABLE_1164 $$unsorted)) (or (= X3 X10) (not (tptp.r2 X3 BOUND_VARIABLE_1164)) (not (tptp.r2 X10 BOUND_VARIABLE_1164)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((not (= (tptp.r2 X3 BOUND_VARIABLE_1164) false)) (not (= (tptp.r2 X10 BOUND_VARIABLE_1164) false))))) (let ((_let_85 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57))) (let ((_let_86 (and _let_85 _let_15))) (let ((_let_87 (not _let_85))) (let ((_let_88 (or _let_87 _let_86))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_32)) :args ((or _let_26 _let_28))) _let_34 :args (_let_26 true _let_28)))) (let ((_let_90 (_let_26))) (let ((_let_91 ((not (= (tptp.r1 BOUND_VARIABLE_815) false))))) (let ((_let_92 (ASSUME :args _let_90))) (let ((_let_93 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_87 _let_94))) (let ((_let_96 (forall ((BOUND_VARIABLE_1308 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1308)) (not (tptp.r2 BOUND_VARIABLE_1308 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)))))) (let ((_let_97 (not _let_95))) (let ((_let_98 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_99 (not _let_96))) (let ((_let_100 (or _let_99 _let_98))) (let ((_let_101 (forall ((Y1 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1308 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1308)) (not (tptp.r2 BOUND_VARIABLE_1308 Y1))))) (tptp.r1 Y1))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_104 (not _let_103))) (let ((_let_105 (not _let_98))) (let ((_let_106 (or _let_105 _let_104))) (let ((_let_107 (or _let_104 (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))))) (let ((_let_108 (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1135 $$unsorted) (BOUND_VARIABLE_1128 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1128)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1128 Y2)) (not (tptp.r3 BOUND_VARIABLE_1135 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y2)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1135)))))) (let ((_let_109 (not _let_107))) (let ((_let_110 (not _let_108))) (let ((_let_111 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM))) (let ((_let_112 (_let_110))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 0)) (CONG (REFL :args (_let_107)) (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_103))) :args _let_32)) :args ((or _let_103 _let_107))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_112)) :args _let_112)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_108))) (REFL :args (_let_109)) :args _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_111) :args _let_62)) _let_61 :args (_let_110 false _let_59)) :args (_let_109 true _let_108)) :args (_let_103 true _let_107)))) (let ((_let_114 (_let_99))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args 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(MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_83))) _let_82 :args (_let_119 false _let_81)) :args (_let_16 false _let_93 false _let_117 false _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_86 1)) :args ((or _let_15 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_86 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 0)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_85))) :args _let_32)) :args ((or _let_85 _let_95))) _let_115 :args (_let_85 true _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90))) _let_89 :args (_let_88 false _let_26)) :args (_let_86 false _let_85 false _let_88)) :args (_let_15 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_38 _let_77 _let_14 (not _let_80)))) _let_64 _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_83))) _let_82 :args (_let_80 false _let_81)) :args (_let_14 false _let_36 false _let_13 false _let_80)) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_12 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 (not _let_39)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53))) _let_52 :args (_let_39 false _let_40)) :args (_let_37 false _let_36 false _let_39)) :args (_let_12 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_32)) :args ((or _let_19 _let_28))) _let_34 :args (_let_19 true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_25) :args _let_24)) _let_23 :args (_let_21 false _let_22)) :args (_let_18 false _let_19 false _let_21)) :args (false false _let_17 false _let_16 false _let_15 false _let_14 false _let_13 false _let_12 true _let_11)) :args (_let_10 _let_9 _let_8 (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (= X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) _let_7 _let_6 _let_5 _let_4 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.60 )
% 0.20/0.60 % SZS output end Proof for NUN068+2
% 0.20/0.60 % cvc5---1.0.5 exiting
% 0.20/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------