TSTP Solution File: NUN084+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN084+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 12:46:27 EDT 2023
% Result : Theorem 0.22s 0.66s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN084+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun Aug 27 09:32:08 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.66 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.yaCTgFibRH/cvc5---1.0.5_29609.p...
% 0.22/0.66 ------- get file name : TPTP file name is NUN084+2
% 0.22/0.66 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29609.smt2...
% 0.22/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.66 % SZS status Theorem for NUN084+2
% 0.22/0.66 % SZS output start Proof for NUN084+2
% 0.22/0.66 (
% 0.22/0.66 (let ((_let_1 (not (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (tptp.r4 Y1 Y2 Y3) (exists ((Y4 $$unsorted)) (and (= Y3 Y4) (exists ((Y5 $$unsorted)) (and (tptp.r2 Y5 Y4) (exists ((Y6 $$unsorted)) (and (tptp.r1 Y6) (tptp.r2 Y6 Y5)))))))))))) (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.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_13 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_15 (not _let_10))) (let ((_let_16 (forall ((BOUND_VARIABLE_859 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_859))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_859 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_859))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_859)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Y21)))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_859 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_859))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_859)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_22 (not _let_19))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_21))) (let ((_let_25 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM))) (let ((_let_26 (or))) (let ((_let_27 (_let_22))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_27)) :args _let_27) (REWRITE :args ((=> _let_22 (not (or (not (forall ((BOUND_VARIABLE_859 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_859))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 BOUND_VARIABLE_859)))))) _let_15))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_19))) (REFL :args (_let_20)) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_25) :args _let_24)) _let_23 :args (_let_22 false _let_21)) :args (_let_20 true _let_19)))) (let ((_let_29 (REFL :args (_let_18)))) (let ((_let_30 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_31 (and _let_30 _let_11))) (let ((_let_32 (not _let_30))) (let ((_let_33 (or _let_32 _let_31))) (let ((_let_34 (_let_16))) (let ((_let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56))) (let ((_let_37 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_39 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59))) (let ((_let_40 (and _let_39 _let_35))) (let ((_let_41 (not _let_39))) (let ((_let_42 (or _let_41 _let_40))) (let ((_let_43 (forall ((BOUND_VARIABLE_907 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_907))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_907 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56))))))) (let ((_let_44 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56)))) (let ((_let_45 (not _let_43))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_907 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_907))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_907)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y22)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_907 $$unsorted)) (let ((_let_1 (tptp.r3 X13 X14 BOUND_VARIABLE_907))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_907)))))) (not (tptp.r3 X13 X14 Y22)))))))) (let ((_let_50 (not _let_47))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_49))) (let ((_let_53 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_54 (_let_50))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_43))) :args _let_26)) :args ((or _let_43 _let_46))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54) (REWRITE :args ((=> _let_50 (not (or (not (forall ((BOUND_VARIABLE_907 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_907))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 BOUND_VARIABLE_907)))))) _let_44))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_47))) (REFL :args (_let_48)) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_53) :args _let_52)) _let_51 :args (_let_50 false _let_49)) :args (_let_48 true _let_47)) :args (_let_43 true _let_46)))) (let ((_let_56 (_let_43))) (let ((_let_57 ((not (= (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_907) false))))) (let ((_let_58 (ASSUME :args _let_56))) (let ((_let_59 (not _let_37))) (let ((_let_60 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61 _let_59 _let_41))) (let ((_let_65 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1055 $$unsorted) (BOUND_VARIABLE_1048 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1048)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1048 Y4)) (not (tptp.r2 BOUND_VARIABLE_1055 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1055)))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1055 $$unsorted) (BOUND_VARIABLE_1048 $$unsorted)) (or (not (tptp.r2 X8 BOUND_VARIABLE_1048)) (not (tptp.r3 X1 BOUND_VARIABLE_1048 Y4)) (not (tptp.r2 BOUND_VARIABLE_1055 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_1055)))))))) (let ((_let_68 (not _let_65))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_67))) (let ((_let_71 (_let_68))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_65))) (REFL :args (_let_66)) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_53) :args _let_70)) _let_69 :args (_let_68 false _let_67)) :args (_let_66 true _let_65)))) (let ((_let_73 (REFL :args (_let_64)))) (let ((_let_74 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_75 (and _let_74 _let_36))) (let ((_let_76 (not _let_74))) (let ((_let_77 (or _let_76 _let_75))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_79 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_80 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_81 (and _let_80 _let_78))) (let ((_let_82 (not _let_80))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (forall ((BOUND_VARIABLE_812 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_812))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_812 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_85 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_86 (not _let_85))) (let ((_let_87 (not _let_84))) (let ((_let_88 (or _let_87 _let_86))) (let ((_let_89 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_812 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_812))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_812)))))) (not (tptp.r1 Y24)))))) (let ((_let_90 (not _let_88))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (not _let_89))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_91) :args (_let_92)) (REWRITE :args ((=> _let_92 (not (or (not (forall ((BOUND_VARIABLE_812 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_812))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_812)))))) _let_86))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_89))) (REFL :args (_let_90)) :args _let_26)) _let_91 :args (_let_90 true _let_89)))) (let ((_let_94 (REFL :args (_let_88)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_88 0)) (CONG _let_94 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_84))) :args _let_26)) :args ((or _let_84 _let_88))) _let_93 :args (_let_84 true _let_88)))) (let ((_let_96 (_let_84))) (let ((_let_97 ((not (= (tptp.r1 BOUND_VARIABLE_812) false))))) (let ((_let_98 (ASSUME :args _let_96))) (let ((_let_99 (not _let_79))) (let ((_let_100 (or _let_82 _let_99))) (let ((_let_101 (forall ((BOUND_VARIABLE_1191 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1191)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_1191 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))))) (let ((_let_102 (not _let_100))) (let ((_let_103 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1191 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1191)) (not (tptp.r3 X4 BOUND_VARIABLE_1191 X4)))))))) (let ((_let_104 (not _let_101))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_103))) (let ((_let_107 (_let_104))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_107)) :args _let_107)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_101))) (REFL :args (_let_102)) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_25) :args _let_106)) _let_105 :args (_let_104 false _let_103)) :args (_let_102 true _let_101)))) (let ((_let_109 (REFL :args (_let_100)))) (let ((_let_110 (and _let_79 _let_78))) (let ((_let_111 (_let_79 _let_78))) (let ((_let_112 (ASSUME :args (_let_79)))) (let ((_let_113 (APPLY_UF tptp.r3))) (let ((_let_114 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))) (let ((_let_115 (ASSUME :args (_let_78)))) (let ((_let_116 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_117 (and _let_116 _let_38))) (let ((_let_118 (not _let_116))) (let ((_let_119 (or _let_118 _let_117))) (let ((_let_120 (forall ((BOUND_VARIABLE_859 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_859))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))))) (let ((_let_121 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_122 (not _let_121))) (let ((_let_123 (not _let_120))) (let ((_let_124 (or _let_123 _let_122))) (let ((_let_125 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_859 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_859))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_859)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_126 (not _let_124))) (let ((_let_127 (not _let_125))) (let ((_let_128 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_129 (_let_127))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_129)) :args _let_129) (REWRITE :args ((=> _let_127 (not (or (not (forall ((BOUND_VARIABLE_859 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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(REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 (not _let_33)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_199)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_200 _let_202 _let_203 _let_204) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_204 (TRANS _let_205 (SYMM (SYMM _let_203)) (SYMM (SYMM _let_202)))) _let_201 :args _let_194) (TRUE_INTRO _let_200))) :args (_let_37 _let_35 _let_36 _let_38))) :args (_let_38 _let_37 _let_36 _let_35))) :args (true _let_199)) _let_198 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 2)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_37))) :args _let_26)) :args ((or _let_37 _let_64))) _let_72 :args (_let_37 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_36 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_75 (not _let_77)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_112 _let_115) (SCOPE (TRUE_ELIM (TRANS (CONG _let_114 (SYMM (SYMM _let_115)) _let_114 :args _let_113) (TRUE_INTRO _let_112))) :args _let_111)) :args _let_111)) :args (true _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 1)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_79))) :args _let_26)) :args ((or _let_79 _let_100))) _let_108 :args (_let_79 true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_78 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_81 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 0)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_80))) :args _let_26)) :args ((or _let_80 _let_100))) _let_108 :args (_let_80 true _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_96))) _let_95 :args (_let_83 false _let_84)) :args (_let_81 false _let_80 false _let_83)) :args (_let_78 false _let_81)) :args (_let_74 false _let_79 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_77 false _let_43)) :args (_let_75 false _let_74 false _let_77)) :args (_let_36 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_35 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 3)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) :args _let_26)) :args ((or _let_39 _let_64))) _let_72 :args (_let_39 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56))) _let_55 :args (_let_42 false _let_43)) :args (_let_40 false _let_39 false _let_42)) :args (_let_35 false _let_40)) :args (_let_30 false _let_38 false _let_37 false _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_859) false))))) :args _let_34))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_26)) :args ((or _let_16 _let_18))) _let_28 :args (_let_16 true _let_18)) :args (_let_33 false _let_16)) :args (_let_31 false _let_30 false _let_33)) :args (_let_11 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_10))) :args _let_26)) :args ((or _let_10 _let_18))) _let_28 :args (_let_10 true _let_18)) :args (false false _let_14 true _let_13 false _let_12 false _let_11 false _let_10)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (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_3 _let_2 (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))))) (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.r1 Y20)) (not (= Y20 Y10)))) (not (tptp.r2 X7 Y10)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.66 )
% 0.22/0.66 % SZS output end Proof for NUN084+2
% 0.22/0.66 % cvc5---1.0.5 exiting
% 0.22/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------