TSTP Solution File: NUN077+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN077+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 12:46:25 EDT 2023
% Result : Theorem 21.07s 21.28s
% Output : Proof 21.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN077+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 09:14:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 21.07/21.28 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gK5BF9Z2Ti/cvc5---1.0.5_5666.p...
% 21.07/21.28 ------- get file name : TPTP file name is NUN077+2
% 21.07/21.28 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5666.smt2...
% 21.07/21.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.07/21.28 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.07/21.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.07/21.28 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.07/21.28 % SZS status Theorem for NUN077+2
% 21.07/21.28 % SZS output start Proof for NUN077+2
% 21.07/21.28 (
% 21.07/21.28 (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (exists ((Y2 $$unsorted)) (and (= Y1 Y2) (exists ((Y3 $$unsorted)) (and (tptp.r2 Y3 Y2) (exists ((Y4 $$unsorted)) (and (tptp.r2 Y4 Y3) (exists ((Y5 $$unsorted)) (and (tptp.r2 Y5 Y4) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y5) (exists ((Y10 $$unsorted)) (and (tptp.r2 Y10 Y7) (exists ((Y13 $$unsorted)) (and (tptp.r1 Y13) (tptp.r2 Y13 Y10))))))))))))))) (exists ((Y6 $$unsorted)) (and (exists ((Y8 $$unsorted)) (and (tptp.r2 Y8 Y6) (exists ((Y11 $$unsorted)) (and (tptp.r2 Y11 Y8) (exists ((Y14 $$unsorted)) (and (tptp.r1 Y14) (tptp.r2 Y14 Y11))))))) (exists ((Y9 $$unsorted)) (and (tptp.r4 Y9 Y6 Y1) (exists ((Y12 $$unsorted)) (and (tptp.r2 Y12 Y9) (exists ((Y15 $$unsorted)) (and (tptp.r1 Y15) (tptp.r2 Y15 Y12)))))))))))))) (let ((_let_2 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))))) (let ((_let_3 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))))) (let ((_let_4 (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_5 (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_6 (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 ((_let_7 (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_8 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_9 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_12 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_13 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_14 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_15 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_424 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_430))) (let ((_let_16 (not _let_11))) (let ((_let_17 (not _let_10))) (let ((_let_18 (not _let_12))) (let ((_let_19 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_430))) (let ((_let_20 (not _let_19))) (let ((_let_21 (not _let_14))) (let ((_let_22 (not _let_13))) (let ((_let_23 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_424))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_15))) (let ((_let_26 (or _let_25 _let_24 _let_22 _let_21 _let_18 _let_17 _let_16 _let_21 _let_18 _let_17 _let_16 _let_20 _let_18 _let_17 _let_16))) (let ((_let_27 (forall ((BOUND_VARIABLE_865 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_865))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_865 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_17))) (let ((_let_30 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_865 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_865))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_865)))))) (not (tptp.r1 Y24)))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_32) :args (_let_34)) (REWRITE :args ((=> _let_34 (not (or (not (forall ((BOUND_VARIABLE_865 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_865))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_865)))))) _let_17))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (REFL :args (_let_29)))) (let ((_let_37 (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_912 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_16))) (let ((_let_40 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_912)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_912)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_43 (not _let_40))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_42))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_47 (_let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47) (REWRITE :args ((=> _let_43 (not (or (not (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_912)))))) _let_16))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_40))) (REFL :args (_let_41)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_46) :args _let_45)) _let_44 :args (_let_43 false _let_42)) :args (_let_41 true _let_40)))) (let ((_let_49 (REFL :args (_let_39)))) (let ((_let_50 (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_912 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_18))) (let ((_let_53 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_912)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Y21)))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (not _let_53))) (let ((_let_56 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_57 (_let_55))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_55 (not (or (not (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_912)))))) _let_18))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_53))) (REFL :args (_let_54)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_56) :args _let_45)) _let_44 :args (_let_55 false _let_42)) :args (_let_54 true _let_53)))) (let ((_let_59 (REFL :args (_let_52)))) (let ((_let_60 (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_912 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))))))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_22))) (let ((_let_63 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_912)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 Y21)))))) (let ((_let_64 (not _let_62))) (let ((_let_65 (not _let_63))) (let ((_let_66 (_let_65))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66) (REWRITE :args ((=> _let_65 (not (or (not (forall ((BOUND_VARIABLE_912 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 BOUND_VARIABLE_912))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 BOUND_VARIABLE_912)))))) _let_22))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_63))) (REFL :args (_let_64)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_45)) _let_44 :args (_let_65 false _let_42)) :args (_let_64 true _let_63)))) (let ((_let_68 (REFL :args (_let_62)))) (let ((_let_69 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_70 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_71 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_72 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_73 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_74 (and _let_73 _let_69))) (let ((_let_75 (not _let_73))) (let ((_let_76 (or _let_75 _let_74))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_33)) :args ((or _let_50 _let_52))) _let_58 :args (_let_50 true _let_52)))) (let ((_let_78 (_let_50))) (let ((_let_79 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_80 (ASSUME :args _let_78))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_82 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_83 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_84 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_85 (and _let_84 _let_81))) (let ((_let_86 (not _let_84))) (let ((_let_87 (or _let_86 _let_85))) (let ((_let_88 (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_960 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))))))) (let ((_let_89 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_90 (not _let_88))) (let ((_let_91 (or _let_90 _let_89))) (let ((_let_92 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_960)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y22)))))) (let ((_let_93 (not _let_91))) (let ((_let_94 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 X13 X14 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_960)))))) (not (tptp.r3 X13 X14 Y22)))))))) (let ((_let_95 (not _let_92))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_94))) (let ((_let_98 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_99 (_let_95))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG (REFL :args (_let_91)) (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_88))) :args _let_33)) :args ((or _let_88 _let_91))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99) (REWRITE :args ((=> _let_95 (not (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 BOUND_VARIABLE_960)))))) _let_89))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_92))) (REFL :args (_let_93)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_98) :args _let_97)) _let_96 :args (_let_95 false _let_94)) :args (_let_93 true _let_92)) :args (_let_88 true _let_91)))) (let ((_let_101 (_let_88))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_104 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_105 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_106 (and _let_105 _let_103))) (let ((_let_107 (not _let_105))) (let ((_let_108 (or _let_107 _let_106))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_33)) :args ((or _let_27 _let_29))) _let_35 :args (_let_27 true _let_29)))) (let ((_let_110 (_let_27))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (not _let_104))) (let ((_let_113 (or _let_107 _let_112))) (let ((_let_114 (forall ((BOUND_VARIABLE_1244 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1244)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1244 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))))) (let ((_let_115 (not _let_113))) (let 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(tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_424))) (let ((_let_216 (and _let_215 _let_212))) (let ((_let_217 (not _let_215))) (let ((_let_218 (or _let_217 _let_216))) (let ((_let_219 (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_960 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_248))))))) (let ((_let_220 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_248)))) (let ((_let_221 (not _let_219))) (let ((_let_222 (or _let_221 _let_220))) (let ((_let_223 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_960)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Y22)))))) (let ((_let_224 (not _let_222))) (let ((_let_225 (not _let_223))) (let ((_let_226 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_227 (_let_225))) (let ((_let_228 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_222 0)) (CONG (REFL :args (_let_222)) (MACRO_SR_PRED_INTRO :args ((= (not _let_221) _let_219))) :args _let_33)) :args ((or _let_219 _let_222))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_227)) :args _let_227) (REWRITE :args ((=> _let_225 (not (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_248 BOUND_VARIABLE_960)))))) _let_220))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_223))) (REFL :args (_let_224)) :args _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_226) :args _let_97)) _let_96 :args (_let_225 false _let_94)) :args (_let_224 true _let_223)) :args (_let_219 true _let_222)))) (let ((_let_229 (_let_219))) (let ((_let_230 (ASSUME :args _let_229))) (let ((_let_231 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_426))) (let ((_let_232 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_426 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_424))) (let ((_let_233 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_426))) (let ((_let_234 (and _let_233 _let_231))) (let ((_let_235 (not _let_233))) (let ((_let_236 (or _let_235 _let_234))) (let ((_let_237 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_425))) (let ((_let_238 (not _let_237))) (let ((_let_239 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_425 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_424))) (let ((_let_240 (not _let_239))) (let ((_let_241 (not _let_232))) (let ((_let_242 (or _let_235 _let_241 _let_240 _let_238))) (let ((_let_243 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1108 $$unsorted) (BOUND_VARIABLE_1101 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1101)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 BOUND_VARIABLE_1101 Y4)) (not (tptp.r2 BOUND_VARIABLE_1108 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1108)))))) (let ((_let_244 (not _let_242))) (let ((_let_245 (not _let_243))) (let ((_let_246 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_247 (_let_245))) (let ((_let_248 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_247)) :args _let_247)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_245))) (let ((_let_281 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146))) (let ((_let_282 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87))) (let ((_let_283 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_430))) (let ((_let_284 (and _let_283 _let_279))) (let ((_let_285 (not _let_283))) (let ((_let_286 (or _let_285 _let_284))) (let ((_let_287 (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_960 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_245))))))) (let ((_let_288 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_245)))) (let ((_let_289 (not _let_287))) (let ((_let_290 (or _let_289 _let_288))) (let ((_let_291 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_960)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 Y22)))))) (let ((_let_292 (not _let_290))) (let ((_let_293 (not _let_291))) (let ((_let_294 (_let_293))) (let ((_let_295 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_290 0)) (CONG (REFL :args (_let_290)) (MACRO_SR_PRED_INTRO :args ((= (not _let_289) _let_287))) :args _let_33)) :args ((or _let_287 _let_290))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_294)) :args _let_294) (REWRITE :args ((=> _let_293 (not (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146))) (let ((_let_305 (and _let_304 _let_280))) (let ((_let_306 (not _let_304))) (let ((_let_307 (or _let_306 _let_305))) (let ((_let_308 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_309 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149))) (let ((_let_310 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_113))) (let ((_let_311 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_113))) (let ((_let_312 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149))) (let ((_let_313 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147))) (let ((_let_314 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146))) (let ((_let_315 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_149))) (let ((_let_316 (and _let_315 _let_309))) (let ((_let_317 (not _let_315))) (let ((_let_318 (or _let_317 _let_316))) (let ((_let_319 (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_960 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))))))) (let ((_let_320 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76)))) (let ((_let_321 (not _let_319))) (let ((_let_322 (or _let_321 _let_320))) (let ((_let_323 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_960 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 BOUND_VARIABLE_960))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_960)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 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true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.07/21.29 )
% 21.07/21.29 % SZS output end Proof for NUN077+2
% 21.07/21.29 % cvc5---1.0.5 exiting
% 21.07/21.29 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------