TSTP Solution File: NUN085+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN085+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 22.64s 22.89s
% Output : Proof 22.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN085+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 09:58:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.44 %----Proving TF0_NAR, FOF, or CNF
% 22.64/22.89 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.defU7322vB/cvc5---1.0.5_17972.p...
% 22.64/22.89 ------- get file name : TPTP file name is NUN085+1
% 22.64/22.89 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17972.smt2...
% 22.64/22.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.64/22.89 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.64/22.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.64/22.89 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.64/22.89 % SZS status Theorem for NUN085+1
% 22.64/22.89 % SZS output start Proof for NUN085+1
% 22.64/22.89 (
% 22.64/22.89 (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 $$unsorted)) (or (not (tptp.id Y1 Y5)) (not (tptp.r1 Y5))))))))) (let ((_let_2 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.id Y20 Y10)) (not (tptp.r1 Y20)))) (not (tptp.r2 X7 Y10)))))) (let ((_let_3 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (tptp.id Y9 X4) (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9)))))))) (let ((_let_4 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (tptp.id Y5 Y4) (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_5 (forall ((X32 $$unsorted) (X33 $$unsorted) (X34 $$unsorted) (X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (let ((_let_1 (tptp.r3 X35 X36 X37))) (let ((_let_2 (tptp.r3 X32 X33 X34))) (or (not (tptp.id X32 X35)) (not (tptp.id X33 X36)) (not (tptp.id X34 X37)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (let ((_let_6 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted) (X31 $$unsorted)) (let ((_let_1 (tptp.r2 X30 X31))) (let ((_let_2 (tptp.r2 X28 X29))) (or (not (tptp.id X28 X30)) (not (tptp.id X29 X31)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (let ((_let_7 (forall ((X26 $$unsorted) (X27 $$unsorted)) (let ((_let_1 (tptp.r1 X27))) (let ((_let_2 (tptp.r1 X26))) (or (not (tptp.id X26 X27)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (let ((_let_8 (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (or (not (tptp.id X23 X24)) (tptp.id X23 X25) (not (tptp.id X24 X25)))))) (let ((_let_9 (forall ((X21 $$unsorted) (X22 $$unsorted)) (or (not (tptp.id X21 X22)) (tptp.id X22 X21))))) (let ((_let_10 (forall ((X20 $$unsorted)) (tptp.id X20 X20)))) (let ((_let_11 (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (tptp.id X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))))) (let ((_let_12 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.id X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))))) (let ((_let_13 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1))))))))) (let ((_let_14 (forall ((X7 $$unsorted) (Y10 $$unsorted) (BOUND_VARIABLE_1192 $$unsorted)) (or (not (tptp.r2 X7 Y10)) (not (tptp.id BOUND_VARIABLE_1192 Y10)) (not (tptp.r1 BOUND_VARIABLE_1192)))))) (let ((_let_15 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_16))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_17 _let_25))) (let ((_let_29 (_let_8))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_24))) (let ((_let_34 (_let_9))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_37 (and _let_31 _let_36))) (let ((_let_38 (not _let_36))) (let ((_let_39 (and _let_38 _let_32))) (let ((_let_40 (or _let_37 _let_39))) (let ((_let_41 (forall ((X15 $$unsorted)) (let ((_let_1 (tptp.id X15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_2 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X15))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (let ((_let_42 (forall ((Y22 $$unsorted)) (not (forall ((X15 $$unsorted)) (let ((_let_1 (tptp.id X15 Y22))) (let ((_let_2 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X15))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))))) (let ((_let_43 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (not (forall ((X15 $$unsorted)) (let ((_let_1 (tptp.id X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (_let_41))) (let ((_let_48 (_let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48) (REWRITE :args ((=> _let_44 (not (not _let_41))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_42))) (REFL :args _let_47) :args _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_43))) _let_45 :args (_let_44 false _let_43)) :args (_let_41 true _let_42)))) (let ((_let_50 (ASSUME :args _let_47))) (let ((_let_51 (not _let_39))) (let ((_let_52 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_53 (and _let_52 _let_36))) (let ((_let_54 (not _let_52))) (let ((_let_55 (and _let_54 _let_38))) (let ((_let_56 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_57 _let_55 _let_53))) (let ((_let_63 (_let_5))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not _let_55))) (let ((_let_66 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_67 (and _let_52 _let_66))) (let ((_let_68 (not _let_66))) (let ((_let_69 (and _let_54 _let_68))) (let ((_let_70 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_59 _let_57 _let_69 _let_67))) (let ((_let_73 (not _let_69))) (let ((_let_74 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_75 (and _let_74 _let_66))) (let ((_let_76 (not _let_74))) (let ((_let_77 (and _let_76 _let_68))) (let ((_let_78 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_71 _let_79 _let_57 _let_77 _let_75))) (let ((_let_81 (not _let_77))) (let ((_let_82 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_83 (and _let_74 _let_82))) (let ((_let_84 (not _let_82))) (let ((_let_85 (and _let_76 _let_84))) (let ((_let_86 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_71 _let_87 _let_57 _let_85 _let_83))) (let ((_let_89 (not _let_85))) (let ((_let_90 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_91 (and _let_90 _let_82))) (let ((_let_92 (not _let_90))) (let ((_let_93 (and _let_92 _let_84))) (let ((_let_94 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_71 _let_95 _let_57 _let_93 _let_91))) (let ((_let_97 (not _let_93))) (let ((_let_98 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_57 _let_99 _let_92 _let_20 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))))) (let ((_let_101 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_981 $$unsorted) (BOUND_VARIABLE_972 $$unsorted) (BOUND_VARIABLE_970 $$unsorted)) (or (not (tptp.id BOUND_VARIABLE_970 Y4)) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_972)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_972 BOUND_VARIABLE_970)) (not (tptp.r2 BOUND_VARIABLE_981 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_981)))))) (let ((_let_102 (not _let_100))) (let ((_let_103 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_981 $$unsorted) (BOUND_VARIABLE_972 $$unsorted) (BOUND_VARIABLE_970 $$unsorted)) (or (not (tptp.id BOUND_VARIABLE_970 Y4)) (not (tptp.r2 X8 BOUND_VARIABLE_972)) (not (tptp.r3 X1 BOUND_VARIABLE_972 BOUND_VARIABLE_970)) (not (tptp.r2 BOUND_VARIABLE_981 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_981)))))))) (let ((_let_104 (not _let_101))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_106)) :args _let_106)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_101))) (REFL :args (_let_102)) :args _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_103))) _let_105 :args (_let_104 false _let_103)) :args (_let_102 true _let_101)))) (let ((_let_108 (REFL :args (_let_100)))) (let ((_let_109 (and _let_94 _let_98))) (let ((_let_110 (and _let_99 _let_95))) (let ((_let_111 (or _let_109 _let_110))) (let ((_let_112 (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.id X12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_2 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X12))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (let ((_let_113 (forall ((Y21 $$unsorted)) (not (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.id X12 Y21))) (let ((_let_2 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X12))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))))) (let ((_let_114 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (not (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.id X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))))))) (let ((_let_115 (not _let_113))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_118 (_let_112))) (let ((_let_119 (_let_115))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_119)) :args _let_119) (REWRITE :args ((=> _let_115 (not (not _let_112))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_113))) (REFL :args _let_118) :args _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args _let_117) :args (_let_114))) _let_116 :args (_let_115 false _let_114)) :args (_let_112 true _let_113)))) (let ((_let_121 (ASSUME :args _let_118))) (let ((_let_122 (not _let_110))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 0)) (CONG _let_108 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_46)) :args ((or _let_56 _let_100))) _let_107 :args (_let_56 true _let_100)))) (let ((_let_124 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_125 (not _let_124))) (let ((_let_126 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_127 (not _let_126))) (let ((_let_128 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_129 (not _let_128))) (let ((_let_130 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_131 (not _let_130))) (let ((_let_132 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_131 _let_129 _let_127 _let_71 _let_125))) (let ((_let_135 (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1230 $$unsorted) (BOUND_VARIABLE_1241 $$unsorted) (BOUND_VARIABLE_1228 $$unsorted) (BOUND_VARIABLE_1226 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1230)) (not (tptp.r3 BOUND_VARIABLE_1230 BOUND_VARIABLE_1226 Y1)) (not (tptp.r1 BOUND_VARIABLE_1228)) (not (tptp.r2 BOUND_VARIABLE_1228 BOUND_VARIABLE_1226)) (not (tptp.id Y1 BOUND_VARIABLE_1241)) (not (tptp.r1 BOUND_VARIABLE_1241)))))) (let ((_let_136 (not _let_134))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (not _let_135))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_137) :args (_let_138))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_135))) (REFL :args (_let_136)) :args _let_46)) _let_137 :args (_let_136 true _let_135)))) (let ((_let_140 (REFL :args (_let_134)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_134 4)) (CONG _let_140 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_46)) :args ((or _let_70 _let_134))) _let_139 :args (_let_70 true _let_134)))) (let ((_let_142 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_143 (and _let_86 _let_142))) (let ((_let_144 (not _let_142))) (let ((_let_145 (and _let_144 _let_87))) (let ((_let_146 (or _let_143 _let_145))) (let ((_let_147 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_148 (not _let_145))) (let ((_let_149 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_150 (and _let_142 _let_149))) (let ((_let_151 (not _let_149))) (let ((_let_152 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_147) :args _let_118)) _let_120 :args (_let_146 false _let_112)) :args (_let_143 true _let_145 false _let_146)) :args (_let_86 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_84 _let_89))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_91 1)) :args ((or _let_82 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_71 _let_57 _let_95 _let_93 _let_91 (not _let_96)))) _let_141 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 0)) :args ((or _let_94 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_109 _let_110 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 0)) :args ((or _let_99 _let_122))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 1)) (CONG _let_108 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_46)) :args ((or _let_98 _let_100))) _let_107 :args (_let_98 true _let_100)) :args (_let_122 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_118)) _let_120 :args (_let_111 false _let_112)) :args (_let_109 true _let_110 false _let_111)) :args (_let_94 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 0)) :args ((or _let_92 _let_97))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 2)) (CONG _let_108 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_90))) :args _let_46)) :args ((or _let_90 _let_100))) _let_107 :args (_let_90 true _let_100)) :args (_let_97 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_96 false _let_5)) :args (_let_91 false _let_70 false _let_56 false _let_94 true _let_93 false _let_96)) :args (_let_82 false _let_91)) :args (_let_89 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_88 false _let_5)) :args (_let_83 false _let_70 false _let_56 false _let_86 true _let_85 false _let_88)) :args (_let_74 false _let_83)) :args (_let_81 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_80 false _let_5)) :args (_let_75 false _let_70 false _let_56 false _let_78 true _let_77 false _let_80)) :args (_let_66 false _let_75)) :args (_let_73 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_72 false _let_5)) :args (_let_67 false _let_70 false _let_56 false _let_58 true _let_69 false _let_72)) :args (_let_52 false _let_67)) :args (_let_65 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_62 false _let_5)) :args (_let_53 false _let_60 false _let_56 false _let_58 true _let_55 false _let_62)) :args (_let_36 false _let_53)) :args (_let_51 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_47)) _let_49 :args (_let_40 false _let_41)) :args (_let_37 true _let_39 false _let_40)) :args (_let_31 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_34)) _let_35 :args (_let_33 false _let_9)) :args (_let_24 false _let_31 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) _let_30 :args (_let_28 false _let_8)) :args (_let_17 false _let_26 false _let_24 false _let_28)) :args (_let_23 false _let_15 false _let_19 false _let_17)) _let_22 :args (false true _let_21 false _let_14)) :args (_let_13 _let_12 _let_11 (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (tptp.id X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted) (X41 $$unsorted) (X42 $$unsorted) (X43 $$unsorted)) (let ((_let_1 (tptp.r4 X41 X42 X43))) (let ((_let_2 (tptp.r4 X38 X39 X40))) (or (not (tptp.id X38 X41)) (not (tptp.id X39 X42)) (not (tptp.id X40 X43)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) _let_4 (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (tptp.id Y3 Y2) (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))))) (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 X2 Y2) (tptp.r4 X2 X9 Y6)))))) (forall ((X3 $$unsorted) (X10 $$unsorted)) (or (forall ((Y12 $$unsorted)) (or (forall ((Y13 $$unsorted)) (or (not (tptp.id Y13 Y12)) (not (tptp.r2 X3 Y13)))) (not (tptp.r2 X10 Y12)))) (tptp.id X3 X10))) _let_3 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.id Y8 Y18) (tptp.r1 Y18)))))) (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.id X6 Y19) (tptp.r1 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.id X6 Y11) (tptp.r2 Y1 Y11))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.64/22.89 )
% 22.64/22.89 % SZS output end Proof for NUN085+1
% 22.64/22.89 % cvc5---1.0.5 exiting
% 22.64/22.89 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------