%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUN085+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 12:46:28 EDT 2023

% Result   : Theorem 0.21s 0.63s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUN085+2 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n003.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 09:36:54 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.63  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FntZzeNuIQ/cvc5---1.0.5_25261.p...
% 0.21/0.63  ------- get file name : TPTP file name is NUN085+2
% 0.21/0.63  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25261.smt2...
% 0.21/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63  % SZS status Theorem for NUN085+2
% 0.21/0.63  % SZS output start Proof for NUN085+2
% 0.21/0.63  (
% 0.21/0.63  (let ((_let_1 (not (forall ((Y1 $$unsorted)) (or (forall ((Y2 $$unsorted)) (or (forall ((Y3 $$unsorted)) (or (not (tptp.r1 Y3)) (not (tptp.r3 Y3 Y2 Y1)))) (forall ((Y4 $$unsorted)) (or (not (tptp.r1 Y4)) (not (tptp.r2 Y4 Y2)))))) (forall ((Y5 $$unsorted)) (or (not (= Y1 Y5)) (not (tptp.r1 Y5))))))))) (let ((_let_2 (forall ((X7 $$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 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))))) (let ((_let_6 (forall ((X1 $$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 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_7 (forall ((X13 $$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 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_16 (not _let_10))) (let ((_let_17 (forall ((BOUND_VARIABLE_821 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_821))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_821 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_821 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_821))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_821)))))) (not (tptp.r1 Y24)))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_22) :args (_let_24)) (REWRITE :args ((=> _let_24 (not (or (not (forall ((BOUND_VARIABLE_821 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_821))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_821)))))) _let_16))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (and _let_27 _let_11))) (let ((_let_29 (not _let_27))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_23)) :args ((or _let_17 _let_19))) _let_25 :args (_let_17 true _let_19)))) (let ((_let_32 (_let_17))) (let ((_let_33 ((not (= (tptp.r1 BOUND_VARIABLE_821) false))))) (let ((_let_34 (ASSUME :args _let_32))) (let ((_let_35 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_29 _let_42 _let_40 _let_38 _let_36))) (let ((_let_44 (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1345 $$unsorted) (BOUND_VARIABLE_1343 $$unsorted) (BOUND_VARIABLE_1341 $$unsorted)) (or (not (tptp.r1 Y1)) (not (tptp.r1 BOUND_VARIABLE_1345)) (not (tptp.r3 BOUND_VARIABLE_1345 BOUND_VARIABLE_1341 Y1)) (not (tptp.r1 BOUND_VARIABLE_1343)) (not (tptp.r2 BOUND_VARIABLE_1343 BOUND_VARIABLE_1341)))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (not _let_44))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_44))) (REFL :args (_let_45)) :args _let_23)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_49 (REFL :args (_let_43)))) (let ((_let_50 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_12))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (not (tptp.r1 Y10)) (not (tptp.r2 X7 Y10)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((not (= (tptp.r2 X7 Y10) false))))) (let ((_let_58 (forall ((BOUND_VARIABLE_868 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_868))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_868 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_51))) (let ((_let_61 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_868 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_868))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_868)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_62 (not _let_60))) (let ((_let_63 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_868 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_868))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_868)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_64 (not _let_61))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_67 (_let_64))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67) (REWRITE :args ((=> _let_64 (not (or (not (forall ((BOUND_VARIABLE_868 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_868))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 BOUND_VARIABLE_868)))))) _let_51))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_61))) (REFL :args (_let_62)) :args _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_66) :args (_let_63))) _let_65 :args (_let_64 false _let_63)) :args (_let_62 true _let_61)))) (let ((_let_69 (REFL :args (_let_60)))) (let ((_let_70 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_71 (and _let_70 _let_13))) (let ((_let_72 (not _let_70))) (let ((_let_73 (or _let_72 _let_71))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 0)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_23)) :args ((or _let_58 _let_60))) _let_68 :args (_let_58 true _let_60)))) (let ((_let_75 (_let_58))) (let ((_let_76 ((not (= (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_868) false))))) (let ((_let_77 (ASSUME :args _let_75))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_79 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_80 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_82 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (and _let_82 _let_78))) (let ((_let_84 (not _let_82))) (let ((_let_85 (or _let_84 _let_83))) (let ((_let_86 (forall ((BOUND_VARIABLE_916 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_916))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_916 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))))))) (let ((_let_87 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)))) (let ((_let_88 (not _let_86))) (let ((_let_89 (or _let_88 _let_87))) (let ((_let_90 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_916 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_916))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_916)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y22)))))) (let ((_let_91 (not _let_89))) (let ((_let_92 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_916 $$unsorted)) (let ((_let_1 (tptp.r3 X13 X14 BOUND_VARIABLE_916))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_916)))))) (not (tptp.r3 X13 X14 Y22)))))))) (let ((_let_93 (not _let_90))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_92))) (let ((_let_96 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_97 (_let_93))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_86))) :args _let_23)) :args ((or _let_86 _let_89))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97) (REWRITE :args ((=> _let_93 (not (or (not (forall ((BOUND_VARIABLE_916 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_916))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 BOUND_VARIABLE_916)))))) _let_87))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_90))) (REFL :args (_let_91)) :args _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_96) :args _let_95)) _let_94 :args (_let_93 false _let_92)) :args (_let_91 true _let_90)) :args (_let_86 true _let_89)))) (let ((_let_99 (_let_86))) (let ((_let_100 ((not (= (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_916) false))))) (let ((_let_101 (ASSUME :args _let_99))) (let ((_let_102 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_103 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_104 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_105 (and _let_104 _let_102))) (let ((_let_106 (not _let_104))) (let ((_let_107 (or _let_106 _let_105))) (let ((_let_108 (not _let_103))) (let ((_let_109 (or _let_106 _let_108))) (let ((_let_110 (forall ((BOUND_VARIABLE_1200 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1200)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1200 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_111 (not _let_109))) (let ((_let_112 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1200 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1200)) (not (tptp.r3 X4 BOUND_VARIABLE_1200 X4)))))))) (let ((_let_113 (not _let_110))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_115)) :args _let_115)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_110))) (REFL :args (_let_111)) :args _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args _let_66) :args (_let_112))) _let_114 :args (_let_113 false _let_112)) :args (_let_111 true _let_110)))) (let ((_let_117 (REFL :args (_let_109)))) (let ((_let_118 (and _let_103 _let_102))) (let ((_let_119 (ASSUME :args (_let_103)))) (let ((_let_120 (APPLY_UF tptp.r3))) (let ((_let_121 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_122 (ASSUME :args (_let_102)))) (let ((_let_123 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_124 (and _let_123 _let_79))) (let ((_let_125 (not _let_123))) (let ((_let_126 (or _let_125 _let_124))) (let ((_let_127 (not _let_80))) (let ((_let_128 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_129 (not _let_128))) (let ((_let_130 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_129 _let_127 _let_125))) (let ((_let_133 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1064 $$unsorted) (BOUND_VARIABLE_1057 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1057)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1057 Y4)) (not (tptp.r2 BOUND_VARIABLE_1064 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1064)))))) (let ((_let_134 (not _let_132))) (let ((_let_135 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1064 $$unsorted) (BOUND_VARIABLE_1057 $$unsorted)) (or (not (tptp.r2 X8 BOUND_VARIABLE_1057)) (not (tptp.r3 X1 BOUND_VARIABLE_1057 Y4)) (not (tptp.r2 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(MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_132 3)) (CONG _let_140 (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_123))) :args _let_23)) :args ((or _let_123 _let_132))) _let_139 :args (_let_123 true _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99))) _let_98 :args (_let_126 false _let_86)) :args (_let_124 false _let_123 false _let_126)) :args (_let_79 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_83 1)) :args ((or _let_78 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_83 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_119) (SCOPE (TRUE_ELIM (TRANS (CONG _let_121 (SYMM (SYMM _let_122)) _let_121 :args _let_120) (TRUE_INTRO _let_119))) :args (_let_102 _let_103))) :args (_let_103 _let_102))) :args (true _let_118)) :args ((or _let_82 _let_108 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 1)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_103))) :args _let_23)) :args ((or _let_103 _let_109))) _let_116 :args (_let_103 true _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_102 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_106 _let_105 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 0)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_104))) :args _let_23)) :args ((or _let_104 _let_109))) _let_116 :args (_let_104 true _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32))) _let_31 :args (_let_107 false _let_17)) :args (_let_105 false _let_104 false _let_107)) :args (_let_102 false _let_105)) :args (_let_82 false _let_103 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_85 false _let_86)) :args (_let_83 false _let_82 false _let_85)) :args (_let_78 false _let_83)) :args (_let_70 false _let_81 false _let_80 false _let_79 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75))) _let_74 :args (_let_73 false _let_58)) :args (_let_71 false _let_70 false _let_73)) :args (_let_13 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_51 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_23)) :args ((or _let_50 _let_60))) _let_68 :args (_let_50 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_50 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_11 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_27))) :args _let_23)) :args ((or _let_27 _let_43))) _let_48 :args (_let_27 true _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32))) _let_31 :args (_let_30 false _let_17)) :args (_let_28 false _let_27 false _let_30)) :args (_let_11 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_10))) :args _let_23)) :args ((or _let_10 _let_19))) _let_25 :args (_let_10 true _let_19)) :args (false false _let_15 false _let_14 false _let_13 true _let_12 false _let_11 false _let_10)) :args (_let_9 _let_8 _let_7 (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_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_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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.63  )
% 0.21/0.63  % SZS output end Proof for NUN085+2
% 0.21/0.63  % cvc5---1.0.5 exiting
% 0.21/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------