TSTP Solution File: SYO606+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 : Fri Sep 1 04:16:42 EDT 2023
% Result : Theorem 22.37s 22.55s
% Output : Proof 22.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 02:47:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 22.37/22.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RKk7qtSjKy/cvc5---1.0.5_17300.p...
% 22.37/22.55 ------- get file name : TPTP file name is SYO606+1
% 22.37/22.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17300.smt2...
% 22.37/22.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.37/22.55 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.37/22.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.37/22.55 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.37/22.55 % SZS status Theorem for SYO606+1
% 22.37/22.55 % SZS output start Proof for SYO606+1
% 22.37/22.55 (
% 22.37/22.55 (let ((_let_1 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (or (tptp.h_true_only X_2 X_1) (tptp.h_both X_2 X_1) (tptp.h_false_only X_2 X_1))))) (let ((_let_2 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.h_false_only X_2 X_1) (and (tptp.h_false X_2 X_1) (not (tptp.h_true X_2 X_1))))))) (let ((_let_3 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.h_both X_2 X_1) (and (tptp.h_true X_2 X_1) (tptp.h_false X_2 X_1)))))) (let ((_let_4 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.h_true_only X_2 X_1) (and (tptp.h_true X_2 X_1) (not (tptp.h_false X_2 X_1))))))) (let ((_let_5 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (or (tptp.g_true_only X_2 X_1) (tptp.g_both X_2 X_1) (tptp.g_false_only X_2 X_1))))) (let ((_let_6 (not (or (and (forall ((A $$unsorted)) (or (forall ((B $$unsorted)) (tptp.g_false_only A B)) (exists ((B $$unsorted)) (tptp.h_true_only A B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (or (tptp.g_false_only A B) (tptp.h_true_only A C))))) (and (exists ((A $$unsorted)) (or (and (exists ((B $$unsorted)) (tptp.g_true_only A B)) (or (and (exists ((B $$unsorted)) (tptp.h_both A B)) (not (exists ((B $$unsorted)) (tptp.h_true_only A B)))) (forall ((B $$unsorted)) (tptp.h_false_only A B)))) (and (exists ((B $$unsorted)) (tptp.g_both A B)) (not (exists ((B $$unsorted)) (tptp.g_true_only A B))) (forall ((B $$unsorted)) (tptp.h_false_only A B))))) (exists ((A $$unsorted) (B $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only A C))) (or (and (tptp.g_true_only A B) (or (tptp.h_both A C) _let_1)) (and (tptp.g_both A B) _let_1)))))) (and (exists ((A $$unsorted)) (and (exists ((B $$unsorted)) (tptp.g_both A B)) (not (exists ((B $$unsorted)) (tptp.g_true_only A B))) (exists ((B $$unsorted)) (tptp.h_both A B)) (not (exists ((B $$unsorted)) (tptp.h_true_only A B))))) (not (exists ((A $$unsorted)) (or (and (exists ((B $$unsorted)) (tptp.g_true_only A B)) (or (and (exists ((B $$unsorted)) (tptp.h_both A B)) (not (exists ((B $$unsorted)) (tptp.h_true_only A B)))) (forall ((B $$unsorted)) (tptp.h_false_only A B)))) (and (exists ((B $$unsorted)) (tptp.g_both A B)) (not (exists ((B $$unsorted)) (tptp.g_true_only A B))) (forall ((B $$unsorted)) (tptp.h_false_only A B)))))) (exists ((A $$unsorted)) (and (exists ((B $$unsorted)) (and (exists ((C $$unsorted)) (and (tptp.g_both A B) (tptp.h_both A C))) (not (exists ((C $$unsorted)) (or (tptp.g_false_only A B) (tptp.h_true_only A C)))))) (not (exists ((B $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only A C))) (or (and (tptp.g_true_only A B) (or (tptp.h_both A C) _let_1)) (and (tptp.g_both A B) _let_1)))))))) (not (exists ((A $$unsorted) (B $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only A C))) (or (and (tptp.g_true_only A B) (or (tptp.h_both A C) _let_1)) (and (tptp.g_both A B) _let_1))))))))))) (let ((_let_7 (forall ((A $$unsorted) (BOUND_VARIABLE_856 $$unsorted)) (or (tptp.g_false_only A BOUND_VARIABLE_856) (not (forall ((B $$unsorted)) (not (tptp.h_true_only A B)))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.g_false_only A B) (not (forall ((BOUND_VARIABLE_869 $$unsorted)) (not (tptp.h_true_only A BOUND_VARIABLE_869)))))))) (let ((_let_9 (forall ((B $$unsorted)) (not (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (forall ((B $$unsorted)) (not (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))) (let ((_let_14 (forall ((B $$unsorted)) (not (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))) (let ((_let_15 (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_16 (forall ((BOUND_VARIABLE_1129 $$unsorted)) (not (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1129))))) (let ((_let_17 (forall ((BOUND_VARIABLE_920 $$unsorted) (BOUND_VARIABLE_960 $$unsorted) (BOUND_VARIABLE_956 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_920 BOUND_VARIABLE_956)) (and (or (not (tptp.h_both BOUND_VARIABLE_920 BOUND_VARIABLE_960)) (not (forall ((B $$unsorted)) (not (tptp.h_true_only BOUND_VARIABLE_920 B))))) (not (forall ((B $$unsorted)) (tptp.h_false_only BOUND_VARIABLE_920 B)))))))) (let ((_let_18 (or))) (let ((_let_19 (_let_9))) (let ((_let_20 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_21 (forall ((BOUND_VARIABLE_940 $$unsorted) (BOUND_VARIABLE_969 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_940 BOUND_VARIABLE_969)) (not (forall ((B $$unsorted)) (not (tptp.g_true_only BOUND_VARIABLE_940 B)))) (not (forall ((B $$unsorted)) (tptp.h_false_only BOUND_VARIABLE_940 B))))))) (let ((_let_22 (and _let_17 _let_21))) (let ((_let_23 (forall ((B $$unsorted)) (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 B)))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((B $$unsorted)) (not (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 B))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or (not (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_130)) _let_26))) (let ((_let_28 (and _let_27 _let_24))) (let ((_let_29 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_131))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted)) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only A C))) (or (and (tptp.g_true_only A B) (or (tptp.h_both A C) _let_1)) (and (tptp.g_both A B) _let_1)))))))) (let ((_let_33 (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 C))) (or (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_131) (or (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 C) _let_1)) (and (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_131) _let_1)))))) (let ((_let_34 (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166))) (let ((_let_35 (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166))) (let ((_let_36 (or _let_35 _let_34))) (let ((_let_37 (and _let_29 _let_36))) (let ((_let_38 (or _let_37 (and (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_131) _let_34)))) (let ((_let_39 (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166))) (let ((_let_40 (or _let_39 _let_35 _let_34))) (let ((_let_41 (not _let_22))) (let ((_let_42 (not _let_17))) (let ((_let_43 (_let_42))) (let ((_let_44 (not _let_32))) (let ((_let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_32))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_46 :args (1))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_22))) _let_45 :args _let_18)))) (let ((_let_48 (_let_32))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (not _let_33))) (let ((_let_51 (_let_50))) (let ((_let_52 (_let_1))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_25))) (let ((_let_55 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_56 (not _let_27))) (let ((_let_57 (_let_28))) (let ((_let_58 (_let_23))) (let ((_let_59 (forall ((BOUND_VARIABLE_1053 $$unsorted) (BOUND_VARIABLE_1093 $$unsorted) (BOUND_VARIABLE_1089 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1053 BOUND_VARIABLE_1089)) (and (or (not (tptp.h_both BOUND_VARIABLE_1053 BOUND_VARIABLE_1093)) (not (forall ((B $$unsorted)) (not (tptp.h_true_only BOUND_VARIABLE_1053 B))))) (not (forall ((B $$unsorted)) (tptp.h_false_only BOUND_VARIABLE_1053 B)))))))) (let ((_let_60 (forall ((B $$unsorted)) (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_13))) (let ((_let_63 (and (or (not (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_62) _let_61))) (let ((_let_64 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_62))) (let ((_let_70 (and _let_69 _let_61))) (let ((_let_71 (or _let_65 _let_70))) (let ((_let_72 (forall ((B $$unsorted)) (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 B)))) (let ((_let_73 (not _let_72))) (let ((_let_74 (forall ((B $$unsorted)) (not (tptp.h_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 B))))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (and (or (not _let_76) _let_75) _let_73))) (let ((_let_78 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_75))) (let ((_let_84 (and _let_83 _let_73))) (let ((_let_85 (or _let_79 _let_84))) (let ((_let_86 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_77))) (let ((_let_89 (not _let_16))) (let ((_let_90 (not _let_14))) (let ((_let_91 (_let_17))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (forall ((B $$unsorted)) (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 B)))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 (not (forall ((B $$unsorted)) (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 B)))) _let_94))) (let ((_let_98 (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 C))) (or (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110) (or (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 C) _let_1)) (and (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110) _let_1)))))) (let ((_let_99 (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_128))) (let ((_let_100 (and _let_95 _let_99))) (let ((_let_101 (or (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110) (or (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_128) _let_99)) _let_100))) (let ((_let_102 (not _let_21))) (let ((_let_103 (_let_102))) (let ((_let_104 (REFL :args (_let_97)))) (let ((_let_105 (not _let_98))) (let ((_let_106 (_let_105))) (let ((_let_107 (_let_93))) (let ((_let_108 (forall ((BOUND_VARIABLE_1073 $$unsorted) (BOUND_VARIABLE_1102 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_1073 BOUND_VARIABLE_1102)) (not (forall ((B $$unsorted)) (not (tptp.g_true_only BOUND_VARIABLE_1073 B)))) (not (forall ((B $$unsorted)) (tptp.h_false_only BOUND_VARIABLE_1073 B))))))) (let ((_let_109 (forall ((B $$unsorted)) (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B)))) (let ((_let_110 (not _let_109))) (let ((_let_111 (forall ((B $$unsorted)) (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112 _let_110))) (let ((_let_116 (forall ((B $$unsorted)) (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 B)))) (let ((_let_117 (not _let_116))) (let ((_let_118 (forall ((B $$unsorted)) (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 B))))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_119 _let_117))) (let ((_let_123 (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_124 (or _let_15 _let_67 _let_123))) (let ((_let_125 (and (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68) _let_123))) (let ((_let_126 (forall ((B $$unsorted)) (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_114 _let_127 _let_68 _let_90))) (let ((_let_129 (forall ((A $$unsorted) (BOUND_VARIABLE_1007 $$unsorted) (BOUND_VARIABLE_1003 $$unsorted)) (or (not (tptp.g_both A BOUND_VARIABLE_1003)) (not (forall ((B $$unsorted)) (not (tptp.g_true_only A B)))) (not (tptp.h_both A BOUND_VARIABLE_1007)) (not (forall ((B $$unsorted)) (not (tptp.h_true_only A B)))))))) (let ((_let_130 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_131 (and _let_130 (or _let_67 _let_123)))) (let ((_let_132 (or _let_131 _let_125))) (let ((_let_133 (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (or (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68) (or (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C) _let_1)) (and (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68) _let_1)))))) (let ((_let_134 (forall ((B $$unsorted)) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (or (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B) (or (tptp.h_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C) _let_1)) (and (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B) _let_1)))))))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_68 _let_89 _let_135 _let_114 _let_11))) (let ((_let_137 (forall ((A $$unsorted) (BOUND_VARIABLE_1166 $$unsorted) (BOUND_VARIABLE_1162 $$unsorted)) (or (not (tptp.h_both A BOUND_VARIABLE_1162)) (not (forall ((BOUND_VARIABLE_1129 $$unsorted)) (not (tptp.h_true_only A BOUND_VARIABLE_1129)))) (not (forall ((B $$unsorted)) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.h_false_only A C))) (or (and (tptp.g_true_only A B) (or (tptp.h_both A C) _let_1)) (and (tptp.g_both A B) _let_1))))))) (not (tptp.g_both A BOUND_VARIABLE_1166)) (tptp.g_false_only A BOUND_VARIABLE_1166))))) (let ((_let_138 (forall ((A $$unsorted) (B 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(CONG _let_104 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_18)) :args ((or _let_95 _let_97))) _let_47 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_21))) (REFL :args ((not _let_97))) :args _let_18)) (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_21 _let_41))) :args (_let_21 true _let_99 true _let_100 true _let_101 true _let_98 false _let_93 false _let_95 false _let_32 true _let_97 true _let_22)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_91)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_91)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_91)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_91)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_91)) (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_17 (= BOUND_VARIABLE_920 BOUND_VARIABLE_1053) (= BOUND_VARIABLE_956 BOUND_VARIABLE_1089) (= B B) (= B B) (= BOUND_VARIABLE_960 BOUND_VARIABLE_1093)))) :args ((or _let_59 _let_42))) :args ((or _let_42 _let_11 _let_62 _let_90 _let_15 _let_89) false _let_21 false _let_88 false _let_85 false _let_80 false _let_71 false _let_66 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args _let_55) :args _let_58)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_57) (CONG (REFL :args _let_57) (REFL :args (_let_56)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_18)) :args ((or _let_23 _let_28 _let_56))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_18)) :args ((or _let_25 _let_27))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args _let_55) :args _let_54)) (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_35 _let_34 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_52)) _let_53 :args (_let_40 false _let_1)) (CNF_OR_NEG :args (_let_36 1)) (CNF_OR_NEG :args (_let_36 0)) (REORDERING (CNF_AND_NEG :args (_let_37)) :args ((or _let_30 _let_37 (not _let_36)))) (CNF_OR_NEG :args (_let_38 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_33))) (REFL :args ((not _let_38))) :args _let_18)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_131 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_48)) (CNF_OR_NEG :args (_let_31 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_18)) :args ((or _let_29 _let_31))) _let_47 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_17))) (REFL :args ((not _let_31))) :args _let_18)) (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_17 _let_41))) :args (_let_17 false _let_23 false _let_27 true _let_25 false _let_39 false _let_40 true _let_34 true _let_35 true _let_36 true _let_37 true _let_38 true _let_33 true _let_28 false _let_29 false _let_32 true _let_31 true _let_22)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_9 (= B BOUND_VARIABLE_1129)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args _let_20) :args _let_19)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_9 (= B B)))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_9 (= B B)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 1)) (CONG (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_18)) :args ((or _let_9 _let_12))) (CNF_OR_NEG :args (_let_12 0)) :args (_let_12 false _let_17 false _let_16 true _let_15 false _let_14 false _let_13 false _let_9 true _let_11)) :args (_let_7 false _let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (NOT_OR_ELIM _let_46 :args (0))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_7 (= B BOUND_VARIABLE_869) (= A A) (= BOUND_VARIABLE_856 B)))) :args ((or _let_8 _let_224))) _let_226 :args (_let_8 false _let_7)) _let_226 :args (false false _let_8 false _let_7)) :args (_let_6 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_true_only X_2 X_1) (and (tptp.g_true X_2 X_1) (not (tptp.g_false X_2 X_1))))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_both X_2 X_1) (and (tptp.g_true X_2 X_1) (tptp.g_false X_2 X_1)))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_false_only X_2 X_1) (and (tptp.g_false X_2 X_1) (not (tptp.g_true X_2 X_1))))) _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.37/22.56 )
% 22.37/22.56 % SZS output end Proof for SYO606+1
% 22.37/22.56 % cvc5---1.0.5 exiting
% 22.37/22.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------