%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUN082+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 0.20s 0.56s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUN082+2 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 09:11:52 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vYf8g54Q4A/cvc5---1.0.5_18710.p...
% 0.20/0.56  ------- get file name : TPTP file name is NUN082+2
% 0.20/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18710.smt2...
% 0.20/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56  % SZS status Theorem for NUN082+2
% 0.20/0.56  % SZS output start Proof for NUN082+2
% 0.20/0.56  (
% 0.20/0.56  (let ((_let_1 (not (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (tptp.r4 Y1 Y3 Y2) (exists ((Y4 $$unsorted)) (and (tptp.r1 Y4) (tptp.r2 Y4 Y3))))) (exists ((Y5 $$unsorted)) (and (tptp.r1 Y5) (= Y2 Y5)))))))) (let ((_let_2 (forall ((X5 $$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 ((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_6 (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_7 (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_8 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_12 (not _let_8))) (let ((_let_13 (forall ((BOUND_VARIABLE_811 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_811))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_811 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_811 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_811))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_811)))))) (not (tptp.r1 Y24)))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_18) :args (_let_20)) (REWRITE :args ((=> _let_20 (not (or (not (forall ((BOUND_VARIABLE_811 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_811))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_811)))))) _let_12))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) _let_18 :args (_let_17 true _let_16)))) (let ((_let_22 (REFL :args (_let_15)))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_22 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_8))) :args _let_19)) :args ((or _let_8 _let_15))) _let_21 :args (_let_8 true _let_15)))) (let ((_let_24 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_27 (not _let_26))) (let ((_let_28 (not _let_9))) (let ((_let_29 (or _let_28 _let_27 _let_12 _let_25))) (let ((_let_30 (forall ((Y1 $$unsorted) (Y2 $$unsorted) (BOUND_VARIABLE_1356 $$unsorted) (BOUND_VARIABLE_1354 $$unsorted)) (or (not (tptp.r1 Y2)) (not (tptp.r4 Y1 BOUND_VARIABLE_1354 Y2)) (not (tptp.r1 BOUND_VARIABLE_1356)) (not (tptp.r2 BOUND_VARIABLE_1356 BOUND_VARIABLE_1354)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_25 _let_27 _let_35 _let_33))) (let ((_let_37 (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1131 $$unsorted) (BOUND_VARIABLE_1124 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1124)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1124 Y2)) (not (tptp.r3 BOUND_VARIABLE_1131 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y2)) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1131)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (forall ((X2 $$unsorted) (X9 $$unsorted)) (not (forall ((Y2 $$unsorted) (BOUND_VARIABLE_1131 $$unsorted) (BOUND_VARIABLE_1124 $$unsorted)) (or (not (tptp.r2 X9 BOUND_VARIABLE_1124)) (not (tptp.r4 X2 BOUND_VARIABLE_1124 Y2)) (not (tptp.r3 BOUND_VARIABLE_1131 X2 Y2)) (not (tptp.r4 X2 X9 BOUND_VARIABLE_1131)))))))) (let ((_let_40 (not _let_37))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_43 (_let_40))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_37))) (REFL :args (_let_38)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_42) :args (_let_39))) _let_41 :args (_let_40 false _let_39)) :args (_let_38 true _let_37)))) (let ((_let_45 (REFL :args (_let_36)))) (let ((_let_46 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (and _let_46 _let_10))) (let ((_let_48 (not _let_46))) (let ((_let_49 (or _let_48 _let_47))) (let ((_let_50 (forall ((BOUND_VARIABLE_906 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_906))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_906 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))))))) (let ((_let_51 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)))) (let ((_let_52 (not _let_50))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_906 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_906))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_906)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y22)))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_906 $$unsorted)) (let ((_let_1 (tptp.r3 X13 X14 BOUND_VARIABLE_906))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_906)))))) (not (tptp.r3 X13 X14 Y22)))))))) (let ((_let_57 (not _let_54))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_50))) :args _let_19)) :args ((or _let_50 _let_53))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59) (REWRITE :args ((=> _let_57 (not (or (not (forall ((BOUND_VARIABLE_906 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_906))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 BOUND_VARIABLE_906)))))) _let_51))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_54))) (REFL :args (_let_55)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_42) :args (_let_56))) _let_58 :args (_let_57 false _let_56)) :args (_let_55 true _let_54)) :args (_let_50 true _let_53)))) (let ((_let_61 (_let_50))) (let ((_let_62 ((not (= (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_906) false))))) (let ((_let_63 (ASSUME :args _let_61))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_65 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_67 (and _let_66 _let_64))) (let ((_let_68 (not _let_66))) (let ((_let_69 (or _let_68 _let_67))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_22 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_19)) :args ((or _let_13 _let_15))) _let_21 :args (_let_13 true _let_15)))) (let ((_let_71 (_let_13))) (let ((_let_72 ((not (= (tptp.r1 BOUND_VARIABLE_811) false))))) (let ((_let_73 (ASSUME :args _let_71))) (let ((_let_74 (not _let_65))) (let ((_let_75 (or _let_68 _let_74))) (let ((_let_76 (forall ((BOUND_VARIABLE_1190 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1190)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1190 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_77 (not _let_75))) (let ((_let_78 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1190 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1190)) (not (tptp.r3 X4 BOUND_VARIABLE_1190 X4)))))))) (let ((_let_79 (not _let_76))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_82 (_let_79))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_76))) (REFL :args (_let_77)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args _let_81) :args (_let_78))) _let_80 :args (_let_79 false _let_78)) :args (_let_77 true _let_76)))) (let ((_let_84 (REFL :args (_let_75)))) (let ((_let_85 (and _let_65 _let_64))) (let ((_let_86 (_let_65 _let_64))) (let ((_let_87 (ASSUME :args (_let_65)))) (let ((_let_88 (APPLY_UF tptp.r3))) (let ((_let_89 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_90 (ASSUME :args (_let_64)))) (let ((_let_91 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_92 (and _let_91 _let_11))) (let ((_let_93 (not _let_91))) (let ((_let_94 (or _let_93 _let_92))) (let ((_let_95 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_96 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_97 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_98 (and _let_97 _let_95))) (let ((_let_99 (not _let_97))) (let ((_let_100 (or _let_99 _let_98))) (let ((_let_101 (forall ((BOUND_VARIABLE_954 $$unsorted)) (let ((_let_1 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_954))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_954 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))))))) (let ((_let_102 (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))) (let ((_let_103 (not _let_101))) (let ((_let_104 (or _let_103 _let_102))) (let ((_let_105 (forall ((Y23 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_954 $$unsorted)) (let ((_let_1 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_954))) (or (not _let_1) (and _let_1 (= Y23 BOUND_VARIABLE_954)))))) (not (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y23)))))) (let ((_let_106 (not _let_104))) (let ((_let_107 (forall ((X16 $$unsorted) (X17 $$unsorted)) (not (forall ((Y23 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_954 $$unsorted)) (let ((_let_1 (tptp.r4 X16 X17 BOUND_VARIABLE_954))) (or (not _let_1) (and _let_1 (= Y23 BOUND_VARIABLE_954)))))) (not (tptp.r4 X16 X17 Y23)))))))) (let ((_let_108 (not _let_105))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_104 0)) (CONG (REFL :args (_let_104)) (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_101))) :args _let_19)) :args ((or _let_101 _let_104))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110) (REWRITE :args ((=> _let_108 (not (or (not (forall ((BOUND_VARIABLE_954 $$unsorted)) (let ((_let_1 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_954))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 BOUND_VARIABLE_954)))))) _let_102))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_105))) (REFL :args (_let_106)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args _let_42) :args (_let_107))) _let_109 :args (_let_108 false _let_107)) :args (_let_106 true _let_105)) :args (_let_101 true _let_104)))) (let ((_let_112 (_let_101))) (let ((_let_113 ((not (= (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_954) false))))) (let ((_let_114 (ASSUME :args _let_112))) (let ((_let_115 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_116 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_117 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_118 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_119 (and _let_118 _let_115))) (let ((_let_120 (not _let_118))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (not _let_117))) (let ((_let_123 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_120 _let_122))) (let ((_let_126 (forall ((Y8 $$unsorted) (BOUND_VARIABLE_1244 $$unsorted)) (or (not 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_let_19)) :args ((or _let_118 _let_125))) _let_132 :args (_let_118 true _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71))) _let_70 :args (_let_121 false _let_13)) :args (_let_119 false _let_118 false _let_121)) :args (_let_115 false _let_119)) :args (_let_97 false _let_117 false _let_116 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) _let_111 :args (_let_100 false _let_101)) :args (_let_98 false _let_97 false _let_100)) :args (_let_95 false _let_98)) :args (_let_91 false _let_34 false _let_96 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61))) _let_60 :args (_let_94 false _let_50)) :args (_let_92 false _let_91 false _let_94)) :args (_let_11 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_47 1)) :args ((or _let_10 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_47 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_90) (SCOPE (TRUE_ELIM (TRANS (CONG _let_89 (SYMM (SYMM _let_90)) _let_89 :args _let_88) (TRUE_INTRO _let_87))) :args _let_86)) :args _let_86)) :args (true _let_85)) :args ((or _let_46 _let_74 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 1)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_65))) :args _let_19)) :args ((or _let_65 _let_75))) _let_83 :args (_let_65 true _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 1)) :args ((or _let_64 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_67 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 0)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_66))) :args _let_19)) :args ((or _let_66 _let_75))) _let_83 :args (_let_66 true _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71))) _let_70 :args (_let_69 false _let_13)) :args (_let_67 false _let_66 false _let_69)) :args (_let_64 false _let_67)) :args (_let_46 false _let_65 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_49 false _let_50)) :args (_let_47 false _let_46 false _let_49)) :args (_let_10 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_12 _let_25 _let_27 _let_28 (not _let_29)))) _let_23 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_19)) :args ((or _let_24 _let_36))) _let_44 :args (_let_24 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_19)) :args ((or _let_26 _let_36))) _let_44 :args (_let_26 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r4 Y1 BOUND_VARIABLE_1354 Y2) false)) (not (= (tptp.r1 BOUND_VARIABLE_1356) false))))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_28 false _let_8 false _let_24 false _let_26 false _let_29)) _let_23 :args (false false _let_11 false _let_10 true _let_9 false _let_8)) :args (_let_7 (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_6 _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_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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56  )
% 0.20/0.56  % SZS output end Proof for NUN082+2
% 0.20/0.56  % cvc5---1.0.5 exiting
% 0.20/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------