TSTP Solution File: NUM402+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM402+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 10:43:42 EDT 2023
% Result : Theorem 40.51s 40.76s
% Output : Proof 40.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM402+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 18:18:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 40.51/40.76 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kYUrOMgrIa/cvc5---1.0.5_8835.p...
% 40.51/40.76 ------- get file name : TPTP file name is NUM402+1
% 40.51/40.76 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8835.smt2...
% 40.51/40.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 40.51/40.76 --- Run --no-e-matching --full-saturate-quant at 5...
% 40.51/40.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 40.51/40.76 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 40.51/40.76 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 40.51/40.76 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 40.51/40.76 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.51/40.76 % SZS status Theorem for NUM402+1
% 40.51/40.76 % SZS output start Proof for NUM402+1
% 40.51/40.76 (
% 40.51/40.76 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_4 (not (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.in B A) (tptp.ordinal B))) (tptp.ordinal (tptp.union A))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (not (and (not (tptp.in A B)) (not (= A B)) (not (tptp.in B A)))))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.ordinal B) (=> (tptp.in A B) (tptp.ordinal A)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))))) (let ((_let_9 (tptp.relation tptp.empty_set))) (let ((_let_10 (tptp.empty tptp.empty_set))) (let ((_let_11 (tptp.relation_empty_yielding tptp.empty_set))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in C D) (tptp.in D A))))))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.epsilon_connected A) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.in B A) (tptp.in C A) (not (tptp.in B C)) (not (= B C)) (not (tptp.in C B))))))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (=> (tptp.in B A) (tptp.subset B A))))))) (let ((_let_17 (forall ((A $$unsorted)) (=> (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)) (tptp.ordinal A))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59))) (let ((_let_22 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_19 _let_20 _let_21))) (let ((_let_27 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_28 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 _let_27))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 _let_27))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_19 _let_20 _let_21))) (let ((_let_33 (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (or (not (tptp.in B _let_1)) (not (tptp.in C _let_1)) (tptp.in B C) (= B C) (tptp.in C B)))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (tptp.epsilon_connected _let_27))) (let ((_let_36 (= _let_35 _let_33))) (let ((_let_37 (not _let_33))) (let ((_let_38 (forall ((A $$unsorted)) (= (tptp.epsilon_connected A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.in B A)) (not (tptp.in C A)) (tptp.in B C) (= B C) (tptp.in C B))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.ordinal _let_27))) (let ((_let_41 (not _let_35))) (let ((_let_42 (tptp.epsilon_transitive _let_27))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_40))) (let ((_let_45 (forall ((A $$unsorted)) (or (not (tptp.epsilon_transitive A)) (not (tptp.epsilon_connected A)) (tptp.ordinal A))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (forall ((B $$unsorted)) (let ((_let_1 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (or (not (tptp.in B _let_1)) (tptp.subset B _let_1)))))) (let ((_let_48 (= _let_42 _let_47))) (let ((_let_49 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (or (not (tptp.in B A)) (tptp.subset B A))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((tptp.epsilon_transitive A)))) (let ((_let_53 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_27))) (let ((_let_54 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_27))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_58 (not _let_57))) (let ((_let_59 (= _let_54 _let_58))) (let ((_let_60 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (tptp.in C (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_61 (= _let_53 _let_60))) (let ((_let_62 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_27))) (let ((_let_68 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_65 _let_72))) (let ((_let_74 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_65 _let_75))) (let ((_let_77 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_78 (or _let_65 _let_77))) (let ((_let_79 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_80 (or _let_63 _let_79))) (let ((_let_81 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_69 _let_82))) (let ((_let_84 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_69 _let_85))) (let ((_let_87 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_88 (not _let_87))) (let ((_let_89 (= _let_67 _let_88))) (let ((_let_90 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_91 (not _let_79))) (let ((_let_92 (or _let_91 _let_65 _let_90))) (let ((_let_93 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_84 _let_74))) (let ((_let_96 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_63))) (let ((_let_99 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_100 (not _let_90))) (let ((_let_101 (or _let_100 _let_69 _let_99))) (let ((_let_102 (tptp.epsilon_transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_103 (and _let_102 (tptp.epsilon_connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))) (let ((_let_104 (= _let_90 _let_103))) (let ((_let_105 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (tptp.subset B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))) (let ((_let_106 (= _let_102 _let_105))) (let ((_let_107 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_108 (or _let_69 _let_107))) (let ((_let_109 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))) (let ((_let_110 (= _let_107 _let_109))) (let ((_let_111 (not _let_109))) (let ((_let_112 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111 _let_93))) (let ((_let_115 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_116 (not _let_99))) (let ((_let_117 (or _let_116 _let_91 _let_96 _let_115 _let_112))) (let ((_let_118 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_119 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_120 (not _let_118))) (let ((_let_121 (or _let_120 _let_119 _let_81))) (let ((_let_122 (or))) (let ((_let_123 (forall ((C $$unsorted)) (= (tptp.in C (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))))))) (let ((_let_124 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D A))))))))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_124)))) _let_125 :args (_let_123 false _let_124)))) (let ((_let_127 (_let_123))) (let ((_let_128 ((tptp.in C _let_27)))) (let ((_let_129 (ASSUME :args _let_127))) (let ((_let_130 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (not _let_60))) (let ((_let_133 (_let_58))) (let ((_let_134 (_let_132))) (let ((_let_135 (REFL :args (_let_66)))) (let ((_let_136 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.empty B)))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_136))) (let ((_let_139 ((not (= (tptp.in A B) false))))) (let ((_let_140 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.in B A)))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 ((not (= (tptp.in A B) false))))) (let ((_let_144 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (tptp.element A B))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (tptp.ordinal B))))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_40))) (let ((_let_149 (forall ((A $$unsorted)) (or (not (forall ((B $$unsorted)) (or (not (tptp.in B A)) (tptp.ordinal B)))) (tptp.ordinal (tptp.union A)))))) (let ((_let_150 (not _let_148))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (not _let_149))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_151) :args (_let_152))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_152) _let_149))) (REFL :args (_let_150)) :args _let_122)) _let_151 :args (_let_150 true _let_149)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_148 0)) (CONG (REFL :args (_let_148)) (MACRO_SR_PRED_INTRO :args ((= (not _let_147) _let_146))) :args _let_122)) :args ((or _let_146 _let_148))) _let_153 :args (_let_146 true _let_148)))) (let ((_let_155 (_let_146))) (let ((_let_156 ((not (= (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) false))))) (let ((_let_157 (ASSUME :args _let_155))) (let ((_let_158 (not _let_89))) (let ((_let_159 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in A B)) (tptp.ordinal A))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (_let_159))) (let ((_let_162 ((not (= (tptp.in A B) false))))) (let ((_let_163 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A B)) (tptp.empty B) (tptp.in A B))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (_let_163))) (let ((_let_166 ((not (= (tptp.in A B) true))))) (let ((_let_167 (_let_87))) (let ((_let_168 (_let_13))) (let ((_let_169 (ASSUME :args _let_168))) (let ((_let_170 (_let_105))) (let ((_let_171 (_let_3))) (let ((_let_172 (ASSUME :args _let_171))) (let ((_let_173 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (forall ((A $$unsorted) (BOUND_VARIABLE_1160 $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal BOUND_VARIABLE_1160)) (tptp.in A BOUND_VARIABLE_1160) (= A BOUND_VARIABLE_1160) (tptp.in BOUND_VARIABLE_1160 A))))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (_let_175))) (let ((_let_178 ((not (= (tptp.in A BOUND_VARIABLE_1160) true))))) (let ((_let_179 (not _let_115))) (let ((_let_180 (REFL :args (_let_179)))) (let ((_let_181 (ASSUME :args (_let_120)))) (let ((_let_182 (ASSUME :args (_let_115)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (ASSUME :args (_let_77)))) (let ((_let_185 (not _let_119))) (let ((_let_186 (and _let_72 _let_115))) (let ((_let_187 (_let_72 _let_115))) (let ((_let_188 (ASSUME :args (_let_72)))) (let ((_let_189 (not _let_47))) (let ((_let_190 (_let_189))) (let ((_let_191 (_let_37))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_191)) :args _let_191)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) (REFL :args (_let_34)) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_35 _let_37 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_40 _let_43 _let_41 (not _let_44)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_148 1)) _let_153 :args ((not _let_40) true _let_148)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_48)) :args ((or _let_42 _let_189 (not _let_48)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_190)) :args _let_190)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_189) _let_47))) (REFL :args ((not _let_56))) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_186)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_188 _let_182) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_183) :args (APPLY_UF tptp.empty)) (FALSE_INTRO _let_188))) :args _let_187)) :args _let_187)) :args (true _let_186)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) _let_180 (REFL :args (_let_185)) :args _let_122)) :args ((or _let_185 _let_71 _let_179))) (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_81 _let_119 _let_120 (not _let_121)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_121 false _let_163)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_181 _let_182 _let_184) :args (_let_120 _let_77 _let_115)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_184)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) _let_183 :args (APPLY_UF tptp.element)) (FALSE_INTRO _let_181))) :args (_let_120 _let_115 _let_77)) :args ((not (and _let_120 _let_77 _let_115)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_118))) (REFL :args ((not _let_77))) _let_180 :args _let_122)) (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_91 _let_96 _let_115 _let_112 (not _let_117)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_178)) :args _let_177)) _let_176 :args (_let_117 false _let_175)) (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_93 _let_113 _let_111 (not _let_114)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_173))) _let_174 :args (_let_114 false _let_173)) (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or (not _let_107) _let_109 (not _let_110)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_172 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_171))) _let_172 :args (_let_110 false _let_3)) (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_69 _let_107 (not _let_108)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_170) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18) false))))) :args _let_170)) (REORDERING (CNF_EQUIV_POS1 :args (_let_106)) :args ((or (not _let_102) _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_106 false _let_49)) (REORDERING (CNF_AND_POS :args (_let_103 0)) :args ((or _let_102 (not _let_103)))) (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_63 _let_97 (not _let_98)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_100 _let_103 (not _let_104)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordinal A)))) :args _let_168)) _let_169 :args (_let_104 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_69 _let_100 _let_99 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_161)) _let_160 :args (_let_101 false _let_159)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_167) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) false))))) :args _let_167)) (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_84 _let_74 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_95 false _let_163)) (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_90 _let_65 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_161)) _let_160 :args (_let_92 false _let_159)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_89)) (CONG (REFL :args (_let_158)) (REFL :args (_let_67)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_122)) :args ((or _let_67 _let_87 _let_158))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_126 :args (_let_89 false _let_123)) (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_69 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_86 false _let_136)) (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_69 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_143)) :args _let_142)) _let_141 :args (_let_83 false _let_140)) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_63 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_80 false _let_146)) (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_65 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_144))) _let_145 :args (_let_78 false _let_144)) (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_65 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_143)) :args _let_142)) _let_141 :args (_let_76 false _let_140)) (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_65 _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_73 false _let_136)) (CNF_OR_NEG :args (_let_70 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG (REFL :args (_let_70)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_122)) :args ((or _let_68 _let_70))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_135 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_122)) :args ((or _let_62 _let_66))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 0)) (CONG _let_135 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_122)) :args ((or _let_64 _let_66))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_134)) :args _let_134)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_132) _let_60))) (REFL :args ((not _let_70))) :args _let_122)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_133)) :args _let_133)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) (REFL :args ((not _let_66))) :args _let_122)) (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_53 _let_132 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_130))) _let_131 :args (_let_61 false _let_130)) (REORDERING (CNF_EQUIV_POS1 :args (_let_59)) :args ((or _let_55 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_59 false _let_123)) (CNF_OR_NEG :args (_let_56 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG (REFL :args (_let_56)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_122)) :args ((or _let_54 _let_56))) :args (_let_56 false _let_119 false _let_121 false _let_118 false _let_115 false _let_117 true _let_112 false _let_114 false _let_109 false _let_110 false _let_107 false _let_108 false _let_105 false _let_106 false _let_102 true _let_96 false _let_103 false _let_104 false _let_99 false _let_101 false _let_98 true _let_93 false _let_95 false _let_90 false _let_92 false _let_87 false _let_89 true _let_84 false _let_86 true _let_81 false _let_83 false _let_79 false _let_80 false _let_77 false _let_78 true _let_74 false _let_76 true _let_71 false _let_73 true _let_67 false _let_68 false _let_62 false _let_64 true _let_70 true _let_66 true _let_60 false _let_61 true _let_57 false _let_59 true _let_53 false _let_54)) :args (_let_47 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_42 false _let_47 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal A) true))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_41 true _let_40 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.epsilon_connected A)))) :args (_let_38))) _let_39 :args (_let_36 false _let_38)) :args (_let_37 true _let_35 false _let_36)) :args (_let_34 true _let_33)))) (let ((_let_193 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73))) (let ((_let_194 (not _let_193))) (let ((_let_195 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73))) (let ((_let_196 (not _let_195))) (let ((_let_197 (or _let_196 _let_194 _let_24))) (let ((_let_198 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_199 (not _let_198))) (let ((_let_200 (or _let_199 _let_195))) (let ((_let_201 (or _let_194 _let_199))) (let ((_let_202 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_203 (not _let_201))) (let ((_let_204 (not _let_202))) (let ((_let_205 (= _let_30 _let_204))) (let ((_let_206 (REFL :args (_let_32)))) (let ((_let_207 (_let_204))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_207)) :args _let_207)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_204) _let_202))) (REFL :args (_let_203)) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_205)) :args ((or _let_31 _let_204 (not _let_205)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG _let_206 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_122)) :args ((or _let_30 _let_32))) _let_192 :args (_let_30 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_205 false _let_123)) :args (_let_204 false _let_30 false _let_205)) :args (_let_203 true _let_202)))) (let ((_let_209 (REFL :args (_let_201)))) (let ((_let_210 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_211 (not _let_210))) (let ((_let_212 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_213 (not _let_212))) (let ((_let_214 (or _let_213 _let_211 _let_22))) (let ((_let_215 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_216 (not _let_215))) (let ((_let_217 (or _let_216 _let_212))) (let ((_let_218 (or _let_211 _let_216))) (let ((_let_219 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 D)) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_220 (not _let_218))) (let ((_let_221 (not _let_219))) (let ((_let_222 (= _let_28 _let_221))) (let ((_let_223 (_let_221))) (let ((_let_224 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_223)) :args _let_223)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_221) _let_219))) (REFL :args (_let_220)) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_222)) :args ((or _let_29 _let_221 (not _let_222)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 1)) (CONG _let_206 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_122)) :args ((or _let_28 _let_32))) _let_192 :args (_let_28 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_222 false _let_123)) :args (_let_221 false _let_28 false _let_222)) :args (_let_220 true _let_219)))) (let ((_let_225 (REFL :args (_let_218)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_19 _let_20 _let_21 _let_25 _let_23 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_214)) :args ((or _let_22 _let_211 _let_213 (not _let_214)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_218 0)) (CONG _let_225 (MACRO_SR_PRED_INTRO :args ((= (not _let_211) _let_210))) :args _let_122)) :args ((or _let_210 _let_218))) _let_224 :args (_let_210 true _let_218)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_216 _let_212 (not _let_217)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_218 1)) (CONG _let_225 (MACRO_SR_PRED_INTRO :args ((= (not _let_216) _let_215))) :args _let_122)) :args ((or _let_215 _let_218))) _let_224 :args (_let_215 true _let_218)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_217 false _let_146)) :args (_let_212 false _let_215 false _let_217)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_161)) _let_160 :args (_let_214 false _let_159)) :args (_let_22 false _let_210 false _let_212 false _let_214)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_24 _let_194 _let_196 (not _let_197)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_201 0)) (CONG _let_209 (MACRO_SR_PRED_INTRO :args ((= (not _let_194) _let_193))) :args _let_122)) :args ((or _let_193 _let_201))) _let_208 :args (_let_193 true _let_201)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_200)) :args ((or _let_199 _let_195 (not _let_200)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_201 1)) (CONG _let_209 (MACRO_SR_PRED_INTRO :args ((= (not _let_199) _let_198))) :args _let_122)) :args ((or _let_198 _let_201))) _let_208 :args (_let_198 true _let_201)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_200 false _let_146)) :args (_let_195 false _let_198 false _let_200)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_161)) _let_160 :args (_let_197 false _let_159)) :args (_let_24 false _let_193 false _let_195 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_178)) :args _let_177)) _let_176 :args (_let_26 false _let_175)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 4)) _let_192 :args ((not _let_21) true _let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 3)) _let_192 :args ((not _let_20) true _let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 2)) _let_192 :args ((not _let_19) true _let_32)) :args (false false _let_22 false _let_24 false _let_26 true _let_21 true _let_20 true _let_19)) :args (_let_18 (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_17 (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A)))) _let_16 _let_15 _let_14 _let_13 _let_12 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_10 _let_9 _let_11) _let_10 (and _let_9 _let_11 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) _let_10 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.union A))) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive _let_1) (tptp.epsilon_connected _let_1) (tptp.ordinal _let_1))))) (and _let_10 _let_9) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A) (tptp.empty A) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_non_empty A) (tptp.function A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 40.62/40.77 )
% 40.62/40.77 % SZS output end Proof for NUM402+1
% 40.62/40.77 % cvc5---1.0.5 exiting
% 40.62/40.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------