TSTP Solution File: GRP325-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 00:25:38 EDT 2023
% Result : Unsatisfiable 2.34s 2.53s
% Output : Proof 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 19:49:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WOEyB0TU8c/cvc5---1.0.5_6692.p...
% 0.21/0.49 ------- get file name : TPTP file name is GRP325-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6692.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.34/2.53 % SZS status Unsatisfiable for GRP325-1
% 2.34/2.53 % SZS output start Proof for GRP325-1
% 2.34/2.59 (
% 2.34/2.59 (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X7 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c8)) (not (= (tptp.multiply X4 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X4) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c10 X5) tptp.sk_c9)) (not (= (tptp.multiply X6 tptp.sk_c10) X5)) (not (= (tptp.inverse X6) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.inverse tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c10 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X3) X7)) (not (= (tptp.inverse X7) tptp.sk_c10)) (not (= (tptp.multiply X3 tptp.sk_c10) X7)))))) (let ((_let_2 (tptp.multiply tptp.sk_c7 tptp.sk_c10))) (let ((_let_3 (= _let_2 tptp.sk_c6))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c10))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.inverse tptp.sk_c6))) (let ((_let_8 (= _let_7 tptp.sk_c10))) (let ((_let_9 (= (tptp.inverse tptp.sk_c7) tptp.sk_c6))) (let ((_let_10 (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c9))) (let ((_let_11 (= (tptp.inverse tptp.sk_c5) tptp.sk_c9))) (let ((_let_12 (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (let ((_let_13 (= _let_12 tptp.sk_c9))) (let ((_let_14 (or _let_5 _let_13))) (let ((_let_15 (tptp.inverse tptp.sk_c9))) (let ((_let_16 (= _let_15 tptp.sk_c8))) (let ((_let_17 (or _let_5 _let_16))) (let ((_let_18 (tptp.inverse tptp.sk_c4))) (let ((_let_19 (= _let_18 tptp.sk_c10))) (let ((_let_20 (or _let_5 _let_19))) (let ((_let_21 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (let ((_let_22 (= _let_21 tptp.sk_c9))) (let ((_let_23 (or _let_5 _let_22))) (let ((_let_24 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (let ((_let_25 (= _let_24 tptp.sk_c3))) (let ((_let_26 (or _let_25 _let_3))) (let ((_let_27 (or _let_25 _let_13))) (let ((_let_28 (or _let_25 _let_16))) (let ((_let_29 (or _let_25 _let_19))) (let ((_let_30 (or _let_25 _let_22))) (let ((_let_31 (tptp.multiply tptp.sk_c10 tptp.sk_c3))) (let ((_let_32 (= _let_31 tptp.sk_c9))) (let ((_let_33 (or _let_32 _let_3))) (let ((_let_34 (or _let_32 _let_13))) (let ((_let_35 (or _let_32 _let_16))) (let ((_let_36 (or _let_32 _let_19))) (let ((_let_37 (or _let_32 _let_22))) (let ((_let_38 (tptp.inverse tptp.sk_c1))) (let ((_let_39 (= _let_38 tptp.sk_c9))) (let ((_let_40 (or _let_39 _let_3))) (let ((_let_41 (or _let_39 _let_13))) (let ((_let_42 (or _let_39 _let_16))) (let ((_let_43 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (let ((_let_44 (= _let_43 tptp.sk_c10))) (let ((_let_45 (or _let_44 _let_3))) (let ((_let_46 (or _let_44 _let_13))) (let ((_let_47 (or _let_44 _let_16))) (let ((_let_48 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (let ((_let_49 (= _let_48 tptp.sk_c8))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_51 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_52 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_53 (= tptp.sk_c8 _let_48))) (let ((_let_54 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_55 (tptp.multiply _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_56 (= tptp.identity _let_55))) (let ((_let_57 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_58 (= tptp.identity (tptp.multiply _let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_59 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10))) (let ((_let_60 (tptp.multiply _let_59 tptp.sk_c10))) (let ((_let_61 (tptp.multiply tptp.sk_c10 _let_60))) (let ((_let_62 (tptp.multiply tptp.sk_c10 _let_59))) (let ((_let_63 (= (tptp.multiply _let_62 tptp.sk_c10) _let_61))) (let ((_let_64 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (let ((_let_65 (tptp.multiply _let_64 _let_59))) (let ((_let_66 (= _let_65 (tptp.multiply tptp.sk_c1 _let_62)))) (let ((_let_67 (tptp.multiply tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_68 (tptp.multiply _let_67 tptp.sk_c10))) (let ((_let_69 (= _let_62 _let_68))) (let ((_let_70 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (let ((_let_71 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (let ((_let_72 (= (tptp.multiply _let_68 tptp.sk_c10) (tptp.multiply _let_67 _let_71)))) (let ((_let_73 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c10))) (let ((_let_74 (tptp.multiply _let_55 tptp.sk_c10))) (let ((_let_75 (= _let_74 (tptp.multiply _let_54 _let_73)))) (let ((_let_76 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_68))) (let ((_let_77 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_67))) (let ((_let_78 (tptp.multiply _let_77 tptp.sk_c10))) (let ((_let_79 (= _let_78 _let_76))) (let ((_let_80 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_67))) (let ((_let_81 (= (tptp.multiply _let_80 tptp.sk_c10) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_68)))) (let ((_let_82 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c10))) (let ((_let_83 (tptp.multiply _let_82 _let_60))) (let ((_let_84 (= _let_83 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_61)))) (let ((_let_85 (tptp.multiply _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_86 (tptp.multiply _let_85 tptp.sk_c10))) (let ((_let_87 (= _let_65 _let_86))) (let ((_let_88 (tptp.multiply _let_15 _let_68))) (let ((_let_89 (tptp.multiply _let_15 _let_67))) (let ((_let_90 (tptp.multiply _let_89 tptp.sk_c10))) (let ((_let_91 (= _let_90 _let_88))) (let ((_let_92 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_93 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_92))) (let ((_let_94 (tptp.multiply _let_59 _let_59))) (let ((_let_95 (= (tptp.multiply _let_65 _let_59) (tptp.multiply _let_64 _let_94)))) (let ((_let_96 (tptp.multiply _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_97 (= (tptp.multiply _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_64 _let_96)))) (let ((_let_98 (tptp.multiply _let_60 _let_60))) (let ((_let_99 (tptp.multiply _let_83 _let_60))) (let ((_let_100 (= _let_99 (tptp.multiply _let_82 _let_98)))) (let ((_let_101 (tptp.multiply _let_15 tptp.sk_c10))) (let ((_let_102 (tptp.multiply _let_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_103 (= _let_89 _let_102))) (let ((_let_104 (tptp.multiply _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_105 (= _let_80 _let_104))) (let ((_let_106 (= _let_77 _let_96))) (let ((_let_107 (tptp.inverse _let_38))) (let ((_let_108 (= tptp.identity (tptp.multiply _let_107 _let_38)))) (let ((_let_109 (tptp.multiply _let_60 tptp.sk_c10))) (let ((_let_110 (= (tptp.multiply _let_83 tptp.sk_c10) (tptp.multiply _let_82 _let_109)))) (let ((_let_111 (= (tptp.multiply _let_74 _let_60) (tptp.multiply _let_55 _let_61)))) (let ((_let_112 (= (tptp.multiply _let_102 tptp.sk_c10) (tptp.multiply _let_101 _let_59)))) (let ((_let_113 (tptp.multiply _let_82 _let_59))) (let ((_let_114 (= (tptp.multiply _let_104 tptp.sk_c10) _let_113))) (let ((_let_115 (= _let_94 (tptp.multiply _let_96 tptp.sk_c10)))) (let ((_let_116 (= (tptp.multiply _let_74 _let_86) (tptp.multiply _let_55 (tptp.multiply tptp.sk_c10 _let_86))))) (let ((_let_117 (tptp.multiply _let_59 _let_61))) (let ((_let_118 (= _let_98 _let_117))) (let ((_let_119 (tptp.multiply (tptp.multiply tptp.sk_c9 _let_55) tptp.sk_c10))) (let ((_let_120 (= _let_119 (tptp.multiply tptp.sk_c9 _let_74)))) (let ((_let_121 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55))) (let ((_let_122 (tptp.multiply _let_121 tptp.sk_c10))) (let ((_let_123 (= _let_122 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_74)))) (let ((_let_124 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_55) tptp.sk_c10) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_74)))) (let ((_let_125 (= _let_83 (tptp.multiply _let_113 tptp.sk_c10)))) (let ((_let_126 (tptp.multiply _let_67 tptp.sk_c9))) (let ((_let_127 (= (tptp.multiply _let_126 tptp.sk_c10) (tptp.multiply _let_67 _let_48)))) (let ((_let_128 (tptp.multiply _let_15 _let_55))) (let ((_let_129 (tptp.multiply _let_128 tptp.sk_c10))) (let ((_let_130 (= _let_129 (tptp.multiply _let_15 _let_74)))) (let ((_let_131 (tptp.multiply _let_83 _let_59))) (let ((_let_132 (= _let_99 (tptp.multiply _let_131 tptp.sk_c10)))) (let ((_let_133 (= (tptp.multiply _let_92 _let_68) (tptp.multiply tptp.identity _let_76)))) (let ((_let_134 (= (tptp.multiply _let_122 _let_59) (tptp.multiply _let_121 _let_62)))) (let ((_let_135 (= _let_109 (tptp.multiply _let_59 _let_71)))) (let ((_let_136 (tptp.multiply _let_60 _let_59))) (let ((_let_137 (= _let_131 (tptp.multiply _let_82 _let_136)))) (let ((_let_138 (= _let_136 (tptp.multiply _let_59 _let_62)))) (let ((_let_139 (tptp.multiply _let_59 tptp.sk_c9))) (let ((_let_140 (= (tptp.multiply _let_113 tptp.sk_c9) (tptp.multiply _let_82 _let_139)))) (let ((_let_141 (= (tptp.multiply _let_92 _let_55) (tptp.multiply tptp.identity _let_121)))) (let ((_let_142 (= (tptp.multiply _let_129 _let_59) (tptp.multiply _let_128 _let_62)))) (let ((_let_143 (= (tptp.multiply (tptp.multiply _let_64 _let_77) tptp.sk_c10) (tptp.multiply _let_64 _let_78)))) (let ((_let_144 (= (tptp.multiply (tptp.multiply _let_131 _let_55) tptp.sk_c10) (tptp.multiply _let_131 _let_74)))) (let ((_let_145 (= tptp.sk_c10 _let_43))) (let ((_let_146 (= tptp.sk_c9 _let_38))) (let ((_let_147 (= tptp.sk_c10 _let_4))) (let ((_let_148 (= tptp.sk_c9 _let_62))) (let ((_let_149 (= tptp.sk_c10 _let_57))) (let ((_let_150 (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 _let_119)))) (let ((_let_151 (= tptp.sk_c9 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8)))) (let ((_let_152 (= tptp.sk_c9 _let_73))) (let ((_let_153 (= tptp.sk_c10 _let_54))) (let ((_let_154 (SYMM (ASSUME :args (_let_49))))) (let ((_let_155 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (_let_155))) (let ((_let_158 ((tptp.inverse X)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_158)) :args _let_157)) _let_156 :args (_let_56 false _let_155)))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_158)) :args _let_157)) _let_156 :args (_let_58 false _let_155)))) (let ((_let_161 (_let_50))) (let ((_let_162 (ASSUME :args _let_161))) (let ((_let_163 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c10 _let_59 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_63 false _let_50)))) (let ((_let_165 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c1 tptp.sk_c10 _let_59 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_66 false _let_50)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_69 false _let_50)))) (let ((_let_168 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_169 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_170 (_let_168))) (let ((_let_171 ((tptp.multiply tptp.identity X)))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_170)) _let_169 :args (_let_70 false _let_168)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_67 tptp.sk_c10 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_72 false _let_50)))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_75 false _let_50)))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_67 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_79 false _let_50)))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_87 false _let_50)))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_15 _let_67 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_91 false _let_50)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_170)) _let_169 :args (_let_93 false _let_168)))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_64 _let_59 _let_59 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_95 false _let_50)))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_64 _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_97 false _let_50)))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_15 tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_103 false _let_50)))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_106 false _let_50)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_158)) :args _let_157)) _let_156 :args (_let_108 false _let_155)))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_55 tptp.sk_c10 _let_60 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_111 false _let_50)))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_112 false _let_50)))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161))) _let_162 :args (_let_115 false _let_50)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_55 tptp.sk_c10 _let_86 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_116 false _let_50)))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_59 tptp.sk_c10 _let_60 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_118 false _let_50)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c9 _let_55 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_120 false _let_50)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_123 false _let_50)))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_15 _let_55 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_130 false _let_50)))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_128 tptp.sk_c10 _let_59 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_142 false _let_50)))) (let ((_let_193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_64 _let_77 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_143 false _let_50)))) (let ((_let_194 (= tptp.sk_c9 _let_12))) (let ((_let_195 (= tptp.sk_c6 _let_2))) (let ((_let_196 (= tptp.sk_c9 _let_31))) (let ((_let_197 (= tptp.sk_c3 _let_24))) (let ((_let_198 (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 _let_24)))) (let ((_let_199 (not _let_147))) (let ((_let_200 (not _let_198))) (let ((_let_201 (or _let_200 _let_199))) (let ((_let_202 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 (tptp.multiply X6 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse X6))))))) (let ((_let_203 (not _let_149))) (let ((_let_204 (not _let_148))) (let ((_let_205 (or _let_204 _let_203))) (let ((_let_206 (= tptp.identity (tptp.multiply _let_4 tptp.sk_c2)))) (let ((_let_207 (= _let_67 (tptp.multiply tptp.identity _let_67)))) (let ((_let_208 (= (tptp.multiply tptp.sk_c1 _let_67) _let_85))) (let ((_let_209 (tptp.multiply tptp.sk_c1 _let_55))) (let ((_let_210 (tptp.multiply _let_209 tptp.sk_c10))) (let ((_let_211 (= _let_210 (tptp.multiply tptp.sk_c1 _let_74)))) (let ((_let_212 (= (tptp.multiply _let_210 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_209 _let_67)))) (let ((_let_213 (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c2 _let_67)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c2) _let_67)))) (let ((_let_214 (= (tptp.multiply (tptp.multiply _let_209 _let_55) tptp.sk_c10) (tptp.multiply _let_209 _let_74)))) (let ((_let_215 (= _let_38 _let_64))) (let ((_let_216 (= (tptp.multiply _let_74 _let_59) (tptp.multiply _let_55 _let_62)))) (let ((_let_217 (= (tptp.multiply _let_67 _let_68) (tptp.multiply tptp.sk_c10 _let_76)))) (let ((_let_218 (= _let_117 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiply tptp.sk_c10 _let_61))))) (let ((_let_219 (= (tptp.multiply _let_62 _let_48) (tptp.multiply tptp.sk_c10 (tptp.multiply _let_59 _let_48))))) (let ((_let_220 (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (let ((_let_221 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_222 (= tptp.identity (tptp.multiply _let_221 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_223 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (let ((_let_224 (tptp.multiply _let_68 tptp.sk_c9))) (let ((_let_225 (= _let_224 (tptp.multiply _let_67 _let_223)))) (let ((_let_226 (tptp.multiply tptp.sk_c10 _let_67))) (let ((_let_227 (= (tptp.multiply _let_48 _let_67) (tptp.multiply tptp.sk_c9 _let_226)))) (let ((_let_228 (tptp.multiply tptp.sk_c10 _let_68))) (let ((_let_229 (= (tptp.multiply _let_74 _let_68) (tptp.multiply _let_55 _let_228)))) (let ((_let_230 (= (tptp.multiply _let_48 tptp.sk_c10) (tptp.multiply tptp.sk_c9 _let_71)))) (let ((_let_231 (= (tptp.multiply _let_88 tptp.sk_c9) (tptp.multiply _let_15 _let_224)))) (let ((_let_232 (tptp.multiply tptp.sk_c10 _let_89))) (let ((_let_233 (tptp.multiply _let_232 tptp.sk_c10))) (let ((_let_234 (= (tptp.multiply tptp.sk_c10 _let_90) _let_233))) (let ((_let_235 (= (tptp.multiply _let_233 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_232 _let_67)))) (let ((_let_236 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.identity) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply tptp.sk_c10 _let_92)))) (let ((_let_237 (= (tptp.multiply (tptp.multiply _let_232 _let_55) tptp.sk_c10) (tptp.multiply _let_232 _let_74)))) (let ((_let_238 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (let ((_let_239 (= (tptp.multiply tptp.sk_c8 _let_67) (tptp.multiply _let_238 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_240 (= tptp.sk_c10 _let_15))) (let ((_let_241 (= tptp.sk_c9 _let_15))) (let ((_let_242 (= tptp.sk_c10 _let_107))) (let ((_let_243 (not _let_220))) (let ((_let_244 (not _let_241))) (let ((_let_245 (or _let_244 _let_243))) (let ((_let_246 (not _let_215))) (let ((_let_247 (not _let_242))) (let ((_let_248 (or _let_247 _let_246))) (let ((_let_249 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.inverse X2))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c8))))))) (let ((_let_250 (forall ((X3 $$unsorted)) (let ((_let_1 (tptp.inverse X3))) (or (not (= tptp.sk_c10 (tptp.inverse _let_1))) (not (= _let_1 (tptp.multiply X3 tptp.sk_c10)))))))) (let ((_let_251 (= _let_221 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c10)))) (let ((_let_252 (not _let_251))) (let ((_let_253 (tptp.inverse _let_221))) (let ((_let_254 (= tptp.sk_c10 _let_253))) (let ((_let_255 (not _let_254))) (let ((_let_256 (or _let_255 _let_252))) (let ((_let_257 (= tptp.sk_c9 _let_253))) (let ((_let_258 (tptp.multiply _let_253 _let_221))) (let ((_let_259 (= tptp.identity _let_258))) (let ((_let_260 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_261 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_260))) (let ((_let_262 (tptp.multiply _let_221 _let_67))) (let ((_let_263 (tptp.multiply _let_262 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_264 (= _let_263 (tptp.multiply _let_221 (tptp.multiply _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_265 (tptp.multiply _let_67 _let_221))) (let ((_let_266 (= _let_265 (tptp.multiply tptp.sk_c10 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_221))))) (let ((_let_267 (= (tptp.multiply _let_263 _let_253) (tptp.multiply _let_262 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_253))))) (let ((_let_268 (= (tptp.multiply _let_262 _let_221) (tptp.multiply _let_221 _let_265)))) (let ((_let_269 (tptp.multiply _let_221 tptp.sk_c9))) (let ((_let_270 (= tptp.sk_c10 _let_269))) (let ((_let_271 (tptp.multiply _let_262 tptp.sk_c10))) (let ((_let_272 (= _let_271 (tptp.multiply _let_221 _let_68)))) (let ((_let_273 (= (tptp.multiply _let_74 tptp.sk_c8) (tptp.multiply _let_55 _let_12)))) (let ((_let_274 (= (tptp.multiply _let_258 tptp.sk_c9) (tptp.multiply _let_253 _let_269)))) (let ((_let_275 (= tptp.sk_c9 _let_48))) (let ((_let_276 (= tptp.sk_c8 _let_15))) (let ((_let_277 (not _let_257))) (let ((_let_278 (not _let_270))) (let ((_let_279 (or _let_278 _let_277))) (let ((_let_280 (not _let_240))) (let ((_let_281 (not _let_275))) (let ((_let_282 (or _let_281 _let_280))) (let ((_let_283 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X4))))))) (let ((_let_284 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))))) (let ((_let_285 (not _let_194))) (let ((_let_286 (not _let_153))) (let ((_let_287 (not _let_152))) (let ((_let_288 (or _let_287 _let_286))) (let ((_let_289 (not _let_195))) (let ((_let_290 (= tptp.sk_c10 _let_18))) (let ((_let_291 (not _let_290))) (let ((_let_292 (= tptp.sk_c9 _let_21))) (let ((_let_293 (not _let_292))) (let ((_let_294 (or _let_293 _let_291))) (let ((_let_295 (= tptp.sk_c10 (tptp.inverse _let_67)))) (let ((_let_296 (not _let_295))) (let ((_let_297 (= tptp.sk_c9 _let_68))) (let ((_let_298 (not _let_297))) (let ((_let_299 (or _let_298 _let_296))) (let ((_let_300 (tptp.inverse _let_89))) (let ((_let_301 (= tptp.sk_c10 _let_300))) (let ((_let_302 (not _let_301))) (let ((_let_303 (= tptp.sk_c9 _let_90))) (let ((_let_304 (not _let_303))) (let ((_let_305 (or _let_304 _let_302))) (let ((_let_306 (tptp.multiply _let_15 tptp.sk_c9))) (let ((_let_307 (= tptp.identity _let_306))) (let ((_let_308 (= tptp.identity (tptp.multiply _let_7 tptp.sk_c6)))) (let ((_let_309 (tptp.multiply tptp.sk_c7 _let_67))) (let ((_let_310 (tptp.multiply _let_309 tptp.sk_c10))) (let ((_let_311 (= _let_310 (tptp.multiply tptp.sk_c7 _let_68)))) (let ((_let_312 (tptp.multiply _let_7 _let_2))) (let ((_let_313 (tptp.multiply _let_7 tptp.sk_c7))) (let ((_let_314 (= (tptp.multiply _let_313 tptp.sk_c10) _let_312))) (let ((_let_315 (tptp.multiply _let_7 _let_309))) (let ((_let_316 (= (tptp.multiply _let_315 tptp.sk_c10) (tptp.multiply _let_7 _let_310)))) (let ((_let_317 (tptp.multiply _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_318 (= _let_309 _let_317))) (let ((_let_319 (tptp.multiply _let_313 _let_67))) (let ((_let_320 (= _let_315 _let_319))) (let ((_let_321 (= (tptp.multiply tptp.sk_c10 _let_77) (tptp.multiply _let_67 _let_67)))) (let ((_let_322 (= (tptp.multiply _let_92 _let_67) (tptp.multiply tptp.identity _let_77)))) (let ((_let_323 (= (tptp.multiply _let_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_128 _let_67)))) (let ((_let_324 (= (tptp.multiply _let_319 tptp.sk_c10) (tptp.multiply _let_313 _let_68)))) (let ((_let_325 (tptp.multiply _let_313 tptp.sk_c9))) (let ((_let_326 (= (tptp.multiply _let_325 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_313 (tptp.multiply tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_327 (= (tptp.multiply _let_312 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_7 _let_317)))) (let ((_let_328 (tptp.multiply _let_253 _let_262))) (let ((_let_329 (= _let_328 (tptp.multiply _let_258 _let_67)))) (let ((_let_330 (= (tptp.multiply tptp.sk_c10 _let_96) (tptp.multiply _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_331 (= (tptp.multiply (tptp.multiply _let_128 _let_55) tptp.sk_c10) (tptp.multiply _let_128 _let_74)))) (let ((_let_332 (= _let_60 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_71)))) (let ((_let_333 (= (tptp.multiply _let_74 tptp.sk_c10) (tptp.multiply _let_55 _let_71)))) (let ((_let_334 (= (tptp.multiply _let_325 tptp.sk_c10) (tptp.multiply _let_313 _let_48)))) (let ((_let_335 (= (tptp.multiply (tptp.multiply _let_315 _let_55) tptp.sk_c10) (tptp.multiply _let_315 _let_74)))) (let ((_let_336 (= (tptp.multiply _let_122 tptp.sk_c10) (tptp.multiply _let_121 _let_71)))) (let ((_let_337 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c8))) (let ((_let_338 (= (tptp.multiply _let_102 tptp.sk_c8) (tptp.multiply _let_101 _let_337)))) (let ((_let_339 (= (tptp.multiply _let_90 tptp.sk_c10) (tptp.multiply _let_89 _let_71)))) (let ((_let_340 (= (tptp.multiply _let_78 tptp.sk_c10) (tptp.multiply _let_77 _let_71)))) (let ((_let_341 (= (tptp.multiply _let_94 tptp.sk_c9) (tptp.multiply _let_59 _let_139)))) (let ((_let_342 (= (tptp.multiply _let_92 tptp.sk_c8) (tptp.multiply tptp.identity _let_337)))) (let ((_let_343 (= (tptp.multiply _let_325 _let_60) (tptp.multiply _let_313 (tptp.multiply tptp.sk_c9 _let_60))))) (let ((_let_344 (= tptp.sk_c10 (tptp.inverse _let_15)))) (let ((_let_345 (= tptp.sk_c10 _let_306))) (let ((_let_346 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_67))) (let ((_let_347 (= (tptp.multiply _let_346 tptp.sk_c10) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68)))) (let ((_let_348 (= (tptp.multiply _let_74 _let_67) (tptp.multiply _let_55 _let_226)))) (let ((_let_349 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55))) (let ((_let_350 (= (tptp.multiply _let_349 tptp.sk_c10) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_74)))) (let ((_let_351 (tptp.multiply tptp.sk_c9 _let_67))) (let ((_let_352 (= _let_351 (tptp.multiply _let_48 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(CNF_AND_NEG :args (_let_1367)))) (let ((_let_1381 (REORDERING (RESOLUTION _let_1380 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_758 _let_154 _let_369 _let_372 _let_1184 _let_1179 _let_1175 _let_1335 _let_563 _let_724 _let_1055 _let_676 _let_1199) (SCOPE (TRANS _let_369 _let_713 _let_1184 _let_1363 (CONG _let_371 (TRANS _let_724 _let_1379 _let_1200 _let_1378) :args _let_367) (CONG _let_371 (TRANS _let_1377 _let_1201 _let_1376 _let_1375 _let_1057 _let_1373 _let_564 _let_676) :args _let_367) (CONG _let_1374 (TRANS _let_677 _let_565 _let_1371 _let_1370 _let_1337 _let_1364 _let_652) :args _let_367) _let_1057 _let_1373 _let_1371 _let_1370 _let_1337 _let_1364 _let_652 _let_760 (CONG (TRANS _let_724 _let_1375 _let_1057 _let_1373 _let_564 _let_372) :args _let_442) (CONG _let_1372 :args _let_442)) :args (_let_276 _let_53 _let_70 _let_56 _let_75 _let_153 _let_152 _let_1066 _let_307 _let_194 _let_273 _let_222 _let_1065))) :args _let_1369)) :args _let_1368) :args ((or _let_604 _let_756 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(TRANS _let_724 _let_1375 _let_1057 (CONG (TRANS (TRANS _let_373 _let_565 _let_1371 _let_1365 _let_1337 _let_1364 _let_652) _let_653 (SYMM (TRANS _let_759 _let_653))) _let_725 :args _let_367) _let_1371 _let_1365 _let_1337 _let_1364) :args (_let_70 _let_56 _let_75 _let_153 _let_152 _let_1066 _let_53 _let_276 _let_307 _let_194 _let_273))))) (let ((_let_1394 (CNF_AND_NEG :args (_let_1390)))) (let ((_let_1395 (SYMM (ASSUME :args (_let_275))))) (let ((_let_1396 (SYMM _let_1395))) (let ((_let_1397 (and _let_53 _let_276 _let_194 _let_152 _let_153 _let_307 _let_56 _let_1065 _let_70 _let_75 _let_1066))) (let ((_let_1398 (TRANS _let_373 _let_565 _let_1371 _let_1370 _let_1337 _let_1364 _let_652))) (let ((_let_1399 (= _let_73 _let_54))) (let ((_let_1400 (TRANS _let_369 _let_713 _let_1184 _let_1363))) (let ((_let_1401 (CONG _let_1400 _let_371 :args _let_367))) (let ((_let_1402 (CONG _let_652 _let_701 :args _let_367))) (let ((_let_1403 (CONG _let_701 _let_1400 :args _let_367))) (let ((_let_1404 (and 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_let_369 _let_1561 _let_1560 _let_1559 _let_1449 _let_1558 _let_1242 _let_1557 _let_1556))) (let ((_let_1563 (TRANS _let_369 _let_1561 _let_1560 _let_1559 _let_1449 _let_1558 _let_1242 _let_1557 _let_1556 _let_524))) (let ((_let_1564 (CONG (CONG _let_897 :args _let_442) _let_1439 :args _let_367))) (let ((_let_1565 (TRANS _let_369 _let_1561 _let_1560 _let_1559 _let_1449 _let_1558 _let_1242 _let_1557 _let_1556))) (let ((_let_1566 (CONG _let_375 _let_491 :args _let_367))) (let ((_let_1567 (CONG _let_376 (TRANS _let_677 _let_484 _let_481 _let_610) :args _let_367))) (let ((_let_1568 (CONG _let_375 (TRANS _let_561 _let_1564 _let_1162 _let_676) :args _let_367))) (let ((_let_1569 (TRANS _let_833 _let_1011 _let_1568 _let_1567 _let_1566))) (let ((_let_1570 (TRANS _let_525 _let_1438 _let_898))) (let ((_let_1571 (SYMM _let_1569))) (let ((_let_1572 (CONG _let_828 _let_375 :args _let_367))) (let ((_let_1573 (SYMM _let_1016))) (let ((_let_1574 (SYMM _let_1568))) (let ((_let_1575 (CONG (TRANS _let_373 _let_484 _let_481 _let_610 (CONG _let_371 _let_453 :args _let_367) (SYMM _let_1007) (CONG (TRANS (CONG _let_371 _let_676 :args _let_367) _let_1457 (TRANS _let_841 _let_1574 _let_1017 _let_832)) _let_445 :args _let_367) (SYMM _let_1013) (CONG _let_828 _let_1486 :args _let_367)) (SYMM _let_1565) :args _let_367))) (let ((_let_1576 (SYMM _let_1570))) (let ((_let_1577 (SYMM _let_1564))) (let ((_let_1578 (TRANS (SYMM _let_1566) (SYMM _let_1567) _let_1574 _let_1017 _let_832 (SYMM _let_1572) _let_1016 (SYMM _let_1575) _let_791 _let_789))) (let ((_let_1579 (MODUS_PONENS (AND_INTRO _let_897 _let_517 _let_369 _let_372 _let_524 _let_647 _let_892 _let_890 _let_476 _let_453 _let_482 _let_888 _let_1481 _let_1450 _let_511 _let_1447 _let_690 _let_1241 _let_790 _let_676 _let_988 _let_993 _let_838 _let_995 _let_1000 _let_1003 _let_1540 _let_1161 _let_559 _let_443 _let_1166 _let_448 _let_1493 _let_795 _let_687 _let_724 _let_154 _let_707 _let_721 _let_804 _let_812 _let_1276 _let_1348 _let_1473 _let_832 _let_1015 _let_1012 _let_1006 _let_981 _let_977 _let_1172 _let_502 _let_1048 _let_1052 _let_1055) (SCOPE (TRANS _let_726 _let_1058 _let_1057 (CONG _let_1054 _let_1196 :args _let_367) _let_1053 (CONG _let_839 (TRANS (CONG _let_992 _let_1576 :args _let_367) _let_1049) :args _let_367) _let_1051 (CONG _let_375 (TRANS _let_1050 (CONG _let_992 (TRANS _let_525 _let_849 _let_790 _let_1575 _let_1573 _let_1572 _let_833 _let_1011 _let_1568 (CONG _let_371 (TRANS _let_677 _let_504 (CONG (TRANS _let_1562 (SYMM _let_1578) _let_1571) _let_992 :args _let_367) (CONG (TRANS _let_1569 _let_1578 (TRANS _let_849 _let_790 (CONG (TRANS (TRANS _let_373 _let_1161 _let_1577 _let_560) _let_561 _let_1170) _let_518 :args _let_367) (CONG _let_1168 _let_701 :args _let_367) (SYMM _let_1173) (CONG _let_446 (TRANS _let_1174 (CONG _let_1486 (CONG _let_371 _let_1576 :args _let_367) :args _let_367) (SYMM _let_983) (CONG _let_375 _let_783 :args _let_367) (CONG _let_371 (TRANS _let_525 _let_849 _let_790 _let_1575 _let_1573 _let_1572 _let_833 _let_1011 _let_1568 _let_1567 _let_1566) :args _let_367) (CONG _let_371 _let_1571 :args _let_367) (CONG _let_1563 _let_1463 :args _let_367) (CONG _let_1570 _let_1463 :args _let_367) (CONG _let_701 _let_1569 :args _let_367) (SYMM _let_1474) (CONG _let_1197 _let_491 :args _let_367) (SYMM _let_1349) (CONG (TRANS (TRANS _let_1279 _let_1278 (CONG _let_517 _let_646 :args _let_367) (CONG _let_792 (TRANS _let_1484 _let_1483 _let_1548 _let_1547 _let_1546 _let_1545 _let_801 _let_800) :args _let_367) _let_814 _let_811 (CONG _let_371 (TRANS _let_806 _let_803 (CONG _let_445 (TRANS (CONG _let_376 (TRANS _let_708 _let_802 _let_801 _let_800 _let_1197) :args _let_367) _let_799 _let_1196 _let_517 _let_524) :args _let_367) _let_688) :args _let_367) _let_798 (SYMM _let_1419) _let_794 (CONG _let_1486 _let_792 :args _let_367) _let_791 _let_789) (TRANS _let_1555 _let_1244 _let_1243 _let_1515 _let_1554 _let_1553 _let_1552 _let_1550 _let_370 _let_892 _let_1464 _let_891) _let_1422 _let_375) _let_445 :args _let_367) _let_621 _let_488 _let_483 _let_372) :args _let_367) (CONG _let_446 _let_1426 :args _let_367))) _let_992 :args _let_367) (CONG (TRANS (TRANS _let_443 _let_920 (CONG (TRANS (TRANS (CONG _let_549 _let_1565 :args _let_367) (SYMM _let_1495) (CONG _let_451 _let_695 :args _let_367) _let_1167 _let_1165 _let_561 _let_1564 _let_1162 _let_372) _let_373) _let_445 :args _let_367) _let_454) _let_453) _let_992 :args _let_367) (CONG _let_454 _let_992 :args _let_367)) :args _let_367) _let_1541) :args _let_367) _let_1004 (CONG _let_1002 (TRANS _let_1001 (CONG _let_988 _let_371 :args _let_367) (CONG _let_989 _let_1563 :args _let_367) (CONG _let_990 (TRANS _let_525 _let_1555 _let_1244 _let_1243 _let_1515 _let_1554 _let_1553 _let_1552 _let_1550 _let_370 _let_838) :args _let_367)) :args _let_367) _let_996 (CONG (TRANS _let_994 (CONG _let_992 (TRANS (CONG (TRANS _let_1424 _let_1551 _let_373) _let_990 :args _let_367) _let_989) :args _let_367) _let_677 _let_372) _let_1562 :args _let_367) _let_791 _let_789 _let_524) :args _let_367) (CONG _let_371 (TRANS _let_525 _let_1555 _let_1244 _let_1243 _let_1515 _let_1554 _let_1553 _let_1552 _let_1550 _let_370 _let_892 _let_1464 _let_891) :args _let_367) _let_1549 _let_1548 _let_1547 _let_1546 _let_1545 _let_801 _let_800) :args (_let_146 _let_148 _let_70 _let_56 _let_69 _let_72 _let_145 _let_66 _let_149 _let_93 _let_58 _let_87 _let_116 _let_97 _let_106 _let_143 _let_115 _let_95 _let_216 _let_222 _let_261 _let_264 _let_254 _let_267 _let_251 _let_268 _let_266 _let_108 _let_91 _let_103 _let_112 _let_130 _let_142 _let_217 _let_79 _let_194 _let_53 _let_63 _let_218 _let_118 _let_219 _let_230 _let_239 _let_227 _let_234 _let_237 _let_235 _let_236 _let_229 _let_225 _let_231 _let_259 _let_272 _let_274 _let_273))))) (let ((_let_1580 (CNF_AND_NEG :args (_let_1542)))) (let ((_let_1581 (MACRO_RESOLUTION_TRUST _let_1416 _let_154 _let_1412 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1411 :args (_let_221 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1410)) :args _let_1409)) _let_1407 (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_278 _let_277 (not _let_279)))) (REORDERING (RESOLUTION _let_1580 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1499 _let_476 _let_1517 _let_1579 _let_154) (SCOPE (TRANS _let_653 _let_1395 _let_1504 _let_477 _let_1502) :args (_let_240 _let_149 _let_1501 _let_275 _let_53))) :args _let_1544)) :args _let_1543) :args ((or _let_276 _let_604 _let_285 _let_871 _let_870 _let_255 _let_252 _let_204 _let_203 _let_603 _let_437 _let_436 _let_435 _let_602 _let_869 _let_434 _let_433 _let_601 _let_961 _let_599 _let_960 _let_868 _let_430 _let_959 _let_429 _let_1151 _let_1433 _let_426 _let_424 _let_1148 _let_958 _let_779 _let_1432 _let_1143 _let_957 _let_596 _let_1431 _let_1141 _let_778 _let_956 _let_1135 _let_776 _let_775 _let_422 _let_955 _let_954 _let_1528 _let_953 _let_952 _let_588 _let_1430 _let_774 _let_951 _let_1429 _let_950 _let_1120))) _let_1118 _let_949 _let_193 _let_948 _let_773 _let_192 _let_581 _let_947 _let_946 _let_1527 _let_945 _let_944 _let_191 _let_772 _let_771 _let_1117 _let_943 _let_188 _let_1116 _let_187 _let_186 _let_942 _let_185 _let_1428 _let_769 _let_941 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_940 _let_177 _let_176 _let_939 _let_175 _let_938 _let_173 _let_172 _let_167 _let_166 _let_164 _let_160 _let_159 _let_396 _let_571 _let_154 (REORDERING (RESOLUTION _let_1580 (IMPLIES_ELIM (SCOPE _let_1579 :args _let_1544)) :args _let_1543) :args ((or _let_604 _let_285 _let_871 _let_870 _let_255 _let_252 _let_204 _let_203 _let_603 _let_437 _let_436 _let_435 _let_602 _let_869 _let_434 _let_433 _let_601 _let_961 _let_599 _let_960 _let_868 _let_430 _let_275 _let_959 _let_429 _let_1151 _let_1433 _let_426 _let_424 _let_1148 _let_958 _let_779 _let_1432 _let_1143 _let_957 _let_596 _let_1431 _let_1141 _let_778 _let_956 _let_1135 _let_776 _let_775 _let_422 _let_955 _let_954 _let_1528 _let_953 _let_952 _let_588 _let_1430 _let_774 _let_951 _let_1429 _let_950 _let_1120))) _let_1118 _let_949 _let_193 _let_948 _let_773 _let_192 _let_581 _let_947 _let_946 _let_1527 _let_945 _let_944 _let_191 _let_772 _let_771 _let_1117 _let_943 _let_188 _let_1116 _let_187 _let_186 _let_942 _let_185 _let_1428 _let_769 _let_941 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_940 _let_177 _let_176 _let_939 _let_175 _let_938 _let_173 _let_172 _let_167 _let_166 _let_164 _let_160 _let_159 _let_396 _let_571 _let_154 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1529)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_517 _let_524 _let_369 _let_372 _let_790 _let_482 _let_453 _let_476 _let_892 _let_890 _let_1006 _let_676 _let_1161 _let_897 _let_559 _let_832 _let_1012 _let_888 _let_1241 _let_690 _let_511 _let_1447 _let_1450 _let_1015 _let_502 _let_838 _let_443 _let_1166 _let_1172 _let_977 _let_981 _let_1473 _let_154 _let_1348 _let_1276 _let_1481 _let_647 _let_812 _let_707 _let_804 _let_721 _let_724 _let_687 _let_795 _let_448 _let_1493 _let_1540 _let_1003 _let_1000 _let_988 _let_995 _let_993) (SCOPE (TRANS _let_369 _let_1455 _let_1532 _let_1453 _let_1449 _let_1446 _let_1242 _let_1444 _let_1443 _let_849 _let_790 (CONG (TRANS _let_373 _let_676 (CONG _let_992 (TRANS _let_988 (CONG (TRANS _let_372 _let_1531 (SYMM _let_1530)) _let_990 :args _let_367)) :args _let_367) (SYMM _let_994)) _let_1536 :args _let_367) (SYMM _let_996) (CONG _let_1002 (TRANS (CONG _let_990 (TRANS _let_839 _let_369 _let_1455 _let_1532 _let_1453 _let_1449 _let_1446 _let_1242 _let_1444 _let_1443 _let_524) :args _let_367) (CONG _let_988 _let_1539 :args _let_367) (CONG _let_989 _let_371 :args _let_367) (SYMM _let_1001)) :args _let_367) (SYMM _let_1004) (CONG _let_992 (TRANS (SYMM _let_1541) (CONG _let_371 (TRANS (CONG _let_453 _let_992 :args _let_367) (CONG (TRANS _let_454 (TRANS _let_453 (CONG (TRANS _let_372 (TRANS _let_373 _let_1161 _let_1191 _let_560 _let_1497 _let_1166 _let_1496 _let_1495 (CONG _let_549 (SYMM _let_1533) :args _let_367))) _let_445 :args _let_367) _let_452 _let_444)) _let_992 :args _let_367) (CONG (TRANS (TRANS (CONG _let_446 _let_622 :args _let_367) (CONG _let_446 (TRANS _let_373 _let_484 _let_481 _let_610 (CONG (TRANS _let_376 _let_1489 (SYMM _let_1538) (TRANS _let_849 _let_790 (CONG _let_611 _let_792 :args _let_367) _let_1356 _let_1419 _let_1418 _let_1488 _let_1487 _let_813 (CONG _let_792 (TRANS _let_651 _let_650 _let_649 (CONG _let_622 _let_1485 :args _let_367) _let_1482 _let_1480 _let_1478 _let_1477) :args _let_367) _let_1476 _let_1277 _let_1475)) _let_445 :args _let_367) _let_1349 _let_1347 _let_1474 _let_1524 _let_1472 (CONG _let_1539 _let_1463 :args _let_367) _let_1522 (CONG _let_371 (TRANS _let_1020 _let_1460 _let_1520 _let_1017 _let_832 _let_829 _let_1016 _let_1534 _let_791 _let_789 _let_524) :args _let_367) _let_984 _let_983 (CONG _let_611 _let_1441 :args _let_367) _let_978) :args _let_367) _let_1173 _let_1171 _let_1169 _let_791 _let_789) (SYMM _let_1537) _let_1523) _let_992 :args _let_367) (CONG (TRANS _let_1521 _let_1537 _let_1536) _let_992 :args _let_367) _let_505 _let_676) :args _let_367) _let_1520 _let_1017 _let_832 _let_829 _let_1016 _let_1534 _let_791 _let_789 _let_524) :args _let_367) (CONG _let_992 _let_626 :args _let_367)) :args (_let_148 _let_69 _let_70 _let_56 _let_216 _let_58 _let_93 _let_149 _let_145 _let_66 _let_236 _let_222 _let_108 _let_146 _let_91 _let_234 _let_235 _let_87 _let_95 _let_115 _let_106 _let_143 _let_97 _let_237 _let_259 _let_254 _let_103 _let_112 _let_231 _let_225 _let_229 _let_227 _let_53 _let_239 _let_230 _let_116 _let_72 _let_219 _let_63 _let_118 _let_218 _let_194 _let_79 _let_217 _let_130 _let_142 _let_266 _let_268 _let_251 _let_261 _let_267 _let_264))) :args (_let_53 _let_145 _let_194 _let_146 _let_254 _let_251 _let_148 _let_149 _let_222 _let_259 _let_56 _let_58 _let_63 _let_66 _let_69 _let_70 _let_72 _let_225 _let_79 _let_87 _let_91 _let_261 _let_93 _let_95 _let_97 _let_103 _let_106 _let_108 _let_216 _let_227 _let_112 _let_229 _let_115 _let_116 _let_230 _let_118 _let_231 _let_234 _let_217 _let_130 _let_235 _let_264 _let_266 _let_267 _let_268 _let_218 _let_142 _let_219 _let_236 _let_143 _let_237 _let_239))) :args (true _let_1529)) :args ((or _let_604 _let_285 _let_871 _let_870 _let_255 _let_252 _let_204 _let_203 _let_270 _let_603 _let_437 _let_436 _let_435 _let_602 _let_869 _let_434 _let_433 _let_601 _let_961 _let_599 _let_868 _let_430 _let_959 _let_429 _let_1151 _let_1433 _let_426 _let_424 _let_1148 _let_779 _let_1432 _let_1143 _let_957 _let_596 _let_1431 _let_1141 _let_778 _let_1135 _let_776 _let_775 _let_422 _let_955 _let_954 _let_1528 _let_953 _let_952 _let_588 _let_1430 _let_774 _let_951 _let_1429 _let_950 _let_1120))) _let_1118 _let_949 _let_193 _let_948 _let_773 _let_192 _let_581 _let_947 _let_946 _let_1527 _let_945 _let_944 _let_191 _let_772 _let_771 _let_1117 _let_188 _let_1116 _let_187 _let_186 _let_942 _let_185 _let_1428 _let_769 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_940 _let_177 _let_176 _let_175 _let_938 _let_173 _let_172 _let_167 _let_166 _let_164 _let_160 _let_159 _let_396 _let_571 _let_154 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1525)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_838 _let_476 _let_1517) (SCOPE (TRANS _let_1504 _let_477 _let_1526) :args (_let_254 _let_149 _let_1501))) :args (_let_145 _let_254 _let_148 _let_149 _let_56 _let_58 _let_66 _let_70 _let_87 _let_93 _let_95 _let_97 _let_106 _let_115 _let_143))) :args (true _let_1525)) :args ((or _let_871 _let_255 _let_204 _let_203 _let_257 _let_436 _let_435 _let_869 _let_433 _let_868 _let_429 _let_1151 _let_1433 _let_424 _let_596 _let_1429))) _let_193 _let_186 _let_182 _let_180 _let_179 _let_178 _let_176 _let_172 _let_166 _let_160 _let_159 _let_937 _let_853 _let_859 _let_936 _let_1415 _let_935 _let_1408 (REORDERING (RESOLUTION _let_1500 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_1498 (SCOPE (TRANS _let_476 (CONG (TRANS _let_453 (CONG (TRANS _let_372 (TRANS _let_373 _let_1161 _let_1191 _let_560 _let_1497 _let_1166 _let_1496 _let_1495 _let_1492)) _let_445 :args _let_367) _let_452 _let_444) :args _let_442) (CONG (TRANS _let_1491 (CONG _let_446 (TRANS _let_373 _let_484 _let_481 _let_610 _let_1490 _let_1349 _let_1347 _let_1474 _let_1524 _let_1472 _let_1471 _let_1522 (CONG _let_371 (TRANS _let_1020 _let_1460 _let_1520 _let_1017 _let_832 _let_829 _let_1016 (CONG (TRANS _let_1459 _let_1013 _let_1519 _let_1007 _let_1005 _let_621 _let_488 _let_483 _let_372) _let_1456 :args _let_367) _let_791 _let_789 _let_524) :args _let_367) _let_984 _let_983 _let_1442 _let_978) :args _let_367) _let_1173 _let_1171 _let_1169 _let_791 _let_789) :args _let_442) _let_1160) :args _let_1437)) :args _let_1436)) :args _let_1435) :args ((or _let_604 _let_285 _let_871 _let_870 _let_204 _let_203 _let_603 _let_436 _let_435 _let_602 _let_869 _let_434 _let_433 _let_601 _let_961 _let_599 _let_868 _let_430 _let_242 _let_429 _let_1151 _let_1433 _let_426 _let_424 _let_1148 _let_779 _let_1432 _let_1143 _let_957 _let_596 _let_1431 _let_1141 _let_778 _let_1135 _let_776 _let_775 _let_422 _let_955 _let_588 _let_1430 _let_774 _let_951 _let_1429 _let_950 _let_1120))) _let_1118 _let_949 _let_193 _let_948 _let_773 _let_192 _let_581 _let_944 _let_191 _let_772 _let_771 _let_1117 _let_188 _let_1116 _let_187 _let_186 _let_942 _let_185 _let_1428 _let_769 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_938 _let_173 _let_172 _let_167 _let_166 _let_164 _let_160 _let_159 _let_571 _let_154 (REORDERING (RESOLUTION _let_1500 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1499 _let_476 _let_1517) (SCOPE (TRANS _let_1504 _let_477 _let_1502) :args (_let_240 _let_149 _let_1501))) :args _let_1436)) :args _let_1435) :args ((or _let_604 _let_285 _let_871 _let_870 _let_204 _let_203 _let_241 _let_603 _let_436 _let_435 _let_602 _let_869 _let_434 _let_433 _let_601 _let_961 _let_599 _let_868 _let_430 _let_429 _let_1151 _let_1433 _let_426 _let_424 _let_1148 _let_779 _let_1432 _let_1143 _let_957 _let_596 _let_1431 _let_1141 _let_778 _let_1135 _let_776 _let_775 _let_422 _let_955 _let_588 _let_1430 _let_774 _let_951 _let_1429 _let_950 _let_1120))) _let_1118 _let_949 _let_193 _let_948 _let_773 _let_192 _let_581 _let_944 _let_191 _let_772 _let_771 _let_1117 _let_188 _let_1116 _let_187 _let_186 _let_942 _let_185 _let_1428 _let_769 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_938 _let_173 _let_172 _let_167 _let_166 _let_164 _let_160 _let_159 _let_571 _let_154 (REORDERING (RESOLUTION _let_1500 (IMPLIES_ELIM (SCOPE _let_1499 :args _let_1436)) :args _let_1435) :args ((or _let_604 _let_285 _let_871 _let_870 _let_204 _let_203 _let_603 _let_436 _let_435 _let_602 _let_869 _let_434 _let_433 _let_601 _let_961 _let_599 _let_868 _let_430 _let_240 _let_429 _let_1151 _let_1433 _let_426 _let_424 _let_1148 _let_779 _let_1432 _let_1143 _let_957 _let_596 _let_1431 _let_1141 _let_778 _let_1135 _let_776 _let_775 _let_422 _let_955 _let_588 _let_1430 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(SCOPE (TRANS _let_1176 _let_724 _let_1058 (CONG _let_375 (TRANS _let_154 _let_1403 _let_1338 _let_1402 _let_781 _let_902 _let_676) :args _let_367) (CONG _let_371 (TRANS _let_677 _let_565 (CONG (TRANS (SYMM _let_761) _let_652 (TRANS _let_154 _let_1403 _let_1338 _let_1402 _let_781 _let_902 _let_372)) _let_724 :args _let_367) (SYMM _let_1057) _let_799 _let_1379 _let_1200 (SYMM _let_1401)) :args _let_367) (CONG _let_371 (TRANS _let_1401 _let_1201 _let_1376 _let_725) :args _let_367) _let_1352 _let_1185 _let_374 _let_370 _let_1181) :args (_let_153 _let_70 _let_56 _let_75 _let_152 _let_194 _let_53 _let_1065 _let_273 _let_307 _let_276 _let_1066 _let_222))) _let_1179) (SCOPE (TRANS _let_1181 (SYMM (ASSUME :args (_let_1399))) _let_1176 _let_1396 _let_652 _let_760) :args (_let_276 _let_53 _let_275 _let_152 _let_1399 _let_153))) :args _let_1369)) :args _let_1368) :args ((or _let_604 _let_756 _let_285 _let_287 _let_286 _let_440 _let_603 _let_436 _let_1156 _let_433 _let_1155 _let_240 _let_958 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_let_70 false _let_1065 false _let_56 false _let_222 false _let_307 false _let_53 false _let_751 false _let_53)) _let_1381 _let_1115 _let_941 _let_174 _let_172 _let_1114 _let_159 _let_571 _let_393 _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_1350 _let_154 _let_369 _let_372 _let_1184 _let_1179 _let_1175 _let_1335 _let_517 _let_524 _let_1309 _let_1215 _let_897 _let_977 _let_724 _let_1199 _let_495 _let_647 _let_1236 _let_1230 _let_1225 _let_453 _let_1219) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (TRANS (SYMM (TRANS (SYMM _let_710) (CONG (TRANS _let_525 (SYMM _let_1366)) _let_371 :args _let_367) (CONG (TRANS _let_1366 (SYMM _let_1357) _let_898) (TRANS _let_369 _let_713 _let_1184 _let_1363 _let_1362 _let_1361 _let_1216) :args _let_367) (CONG _let_701 _let_1215 :args _let_367) _let_1310 (CONG _let_652 _let_783 :args _let_367) (CONG _let_657 (SYMM _let_1358) :args _let_367) _let_1365 _let_1337 _let_1364 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_let_1235 _let_1233 _let_1232 _let_1229 _let_1252) _let_1291) (TRANS (SYMM _let_1344) (SYMM _let_1345) _let_444) :args _let_367) (SYMM _let_1346)) :args _let_442) (CONG (TRANS _let_1346 (CONG _let_375 (TRANS _let_443 _let_1345 _let_1344 _let_1267 _let_1266 _let_1265 _let_1290 _let_1289 _let_1206 _let_1205 _let_676) :args _let_367) (CONG _let_371 (TRANS _let_677 _let_1161 _let_1191 _let_1190 _let_1173 _let_1171 _let_1169 _let_791 _let_789 _let_524 _let_1268 _let_1263 _let_1262 _let_1260 (CONG (SYMM _let_1306) _let_1251 :args _let_367) (CONG (TRANS (TRANS _let_1256 _let_1255 _let_1252) (TRANS _let_1253 _let_1303 _let_1231 _let_1302 (CONG _let_1221 _let_695 :args _let_367))) _let_371 :args _let_367) (SYMM _let_1342)) :args _let_367) (SYMM _let_1341) (CONG (TRANS (CONG _let_371 _let_1340 :args _let_367) _let_1208 _let_1185 _let_374 _let_370) _let_703 :args _let_367) _let_708 _let_802 _let_649 _let_1304 _let_794 _let_1238 _let_1235 _let_1233 _let_1232 _let_1229 _let_1228 _let_1218 _let_1217 _let_984 _let_983 (CONG (SYMM _let_1294) (TRANS _let_1216 _let_1256 _let_1255 _let_1303 _let_1231 _let_1302 _let_1301 _let_1237 _let_848 _let_1331 _let_648 _let_1330 _let_1329 _let_1328 _let_1310 _let_1327 (SYMM _let_1333) (SYMM _let_1334) _let_1337 (SYMM _let_1339) _let_1197) :args _let_367) (CONG _let_1332 (TRANS _let_653 _let_1339 _let_1338 _let_1334 _let_1333 _let_1312 _let_1311 _let_1308 _let_1307 _let_1305 _let_649 _let_1304 _let_794 _let_1238 _let_1235 _let_1233 _let_1232 _let_1229 _let_1228 _let_1218 _let_1217 _let_1214 _let_1210 _let_1208 _let_1185 _let_374 _let_370) :args _let_367) (CONG _let_1332 (TRANS _let_369 _let_713 _let_1186 _let_1183 _let_1258 _let_1257 _let_1216 _let_1256 _let_1255 _let_1303 _let_1231 _let_1302 _let_1301 _let_1237 _let_848 _let_1331 _let_648 _let_1330 _let_1329 _let_1328 _let_1310 _let_1327 (SYMM _let_1313) _let_1315 (SYMM _let_1316) _let_1318) :args _let_367) (SYMM (SYMM _let_1326)) (CONG _let_992 _let_1325 :args _let_367) (CONG _let_992 (TRANS 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(TRANS (SYMM _let_1295) (CONG (TRANS _let_1294 (SYMM _let_1293)) _let_491 :args _let_367) (CONG (TRANS _let_1293 _let_373) _let_491 :args _let_367) _let_490 (SYMM _let_1292)) (TRANS _let_1292 _let_1267 _let_1266 _let_1265 _let_1290 _let_1289 _let_1206 _let_1205 _let_372)) _let_1203 :args _let_367) (CONG _let_500 (SYMM _let_1194) :args _let_367) (SYMM _let_1195) (CONG _let_375 _let_1193 :args _let_367) _let_1194) :args _let_442) (CONG _let_1192 :args _let_442) _let_1160) :args (_let_146 _let_148 _let_70 _let_56 _let_216 _let_108 _let_69 _let_91 _let_103 _let_112 _let_231 _let_225 _let_153 _let_152 _let_75 _let_1084 _let_1083 _let_208 _let_211 _let_194 _let_53 _let_1065 _let_147 _let_1076 _let_1097 _let_93 _let_1079 _let_1086 _let_1111 _let_217 _let_79 _let_106 _let_115 _let_1102 _let_95 _let_87 _let_1093 _let_1087 _let_66 _let_1096 _let_145 _let_1075 _let_1081 _let_1100 _let_207 _let_308 _let_195 _let_314 _let_230 _let_327 _let_318 _let_149 _let_206 _let_222 _let_261 _let_1092 _let_1109 _let_1108 _let_1101 _let_1104 _let_72 _let_1085 _let_1113 _let_1077 _let_320 _let_324 _let_1107 _let_1106 _let_1112 _let_1095 _let_1066 _let_229 _let_63 _let_1110 _let_1099 _let_339 _let_1103 _let_130 _let_239)))) :args (_let_53 _let_145 _let_194 _let_195 _let_146 _let_147 _let_756 _let_152 _let_153 _let_148 _let_149 _let_308 _let_206 _let_222 _let_56 _let_63 _let_66 _let_1065 _let_69 _let_70 _let_72 _let_225 _let_75 _let_79 _let_1075 _let_1076 _let_87 _let_314 _let_91 _let_261 _let_93 _let_1077 _let_207 _let_95 _let_103 _let_318 _let_1079 _let_106 _let_208 _let_1081 _let_108 _let_1083 _let_216 _let_1084 _let_1066 _let_1085 _let_112 _let_229 _let_1086 _let_115 _let_230 _let_1087 _let_1092 _let_1093 _let_1095 _let_1096 _let_211 _let_231 _let_1097 _let_1099 _let_217 _let_1100 _let_130 _let_320 _let_1101 _let_324 _let_1102 _let_339 _let_1103 _let_1104 _let_1106 _let_1107 _let_1108 _let_1109 _let_327 _let_1110 _let_1111 _let_1112 _let_239 _let_1113)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_247)))) (TRUE_INTRO (ASSUME :args (_let_242))))) :args (_let_247 _let_242)) :args ((not (and _let_53 _let_145 _let_194 _let_195 _let_146 _let_147 _let_756 _let_152 _let_153 _let_148 _let_149 _let_308 _let_206 _let_222 _let_56 _let_63 _let_66 _let_1065 _let_69 _let_70 _let_72 _let_225 _let_75 _let_79 _let_1075 _let_1076 _let_87 _let_314 _let_91 _let_261 _let_93 _let_1077 _let_207 _let_95 _let_103 _let_318 _let_1079 _let_106 _let_208 _let_1081 _let_108 _let_1083 _let_216 _let_1084 _let_1066 _let_1085 _let_112 _let_229 _let_1086 _let_115 _let_230 _let_1087 _let_1092 _let_1093 _let_1095 _let_1096 _let_211 _let_231 _let_1097 _let_1099 _let_217 _let_1100 _let_130 _let_320 _let_1101 _let_324 _let_1102 _let_339 _let_1103 _let_1104 _let_1106 _let_1107 _let_1108 _let_1109 _let_327 _let_1110 _let_1111 _let_1112 _let_239 _let_1113)) SB_LITERAL))) (CONG _let_1158 (REFL :args (_let_871)) (REFL :args _let_1157) _let_744 (REFL :args (_let_870)) _let_743 (MACRO_SR_PRED_INTRO :args ((= (not _let_756) _let_276))) (REFL :args (_let_287)) (REFL :args (_let_286)) _let_742 _let_741 _let_740 _let_739 (REFL :args (_let_603)) _let_738 (REFL :args (_let_602)) (REFL :args (_let_869)) (REFL :args (_let_1156)) _let_737 _let_736 (REFL :args (_let_601)) (REFL :args (_let_961)) (REFL :args (_let_1155)) (REFL :args (_let_599)) (REFL :args (_let_1154)) (REFL :args (_let_1153)) (REFL :args (_let_868)) _let_735 _let_734 (REFL :args (_let_959)) _let_733 (REFL :args (_let_1152)) _let_732 (REFL :args (_let_1151)) (REFL :args (_let_426)) (REFL :args (_let_425)) (REFL :args (_let_1150)) (REFL :args (_let_424)) (REFL :args (_let_867)) (REFL :args (_let_1149)) (REFL :args (_let_1148)) (REFL :args (_let_1147)) (REFL :args (_let_779)) (REFL :args (_let_1146)) (REFL :args (_let_1145)) (REFL :args (_let_1144)) (REFL :args (_let_1143)) (REFL :args (_let_957)) (REFL :args (_let_1142)) (REFL :args (_let_596)) (REFL :args (_let_1141)) (REFL :args (_let_1140)) (REFL 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_let_1152 _let_428 _let_1151 _let_426 _let_425 _let_1150 _let_424 _let_867 _let_1149 _let_1148 _let_1147 _let_779 _let_1146 _let_1145 _let_1144 _let_1143 _let_957 _let_1142 _let_596 _let_1141 _let_1140 _let_1139 _let_1138 _let_1137 _let_1136 _let_866 _let_1135 _let_1134 _let_1133 _let_775 _let_1132 _let_422 _let_421 _let_1131 _let_417 _let_1130 _let_591 _let_1129 _let_1128 _let_1127 _let_1126 _let_1125 _let_1124 _let_415 _let_1123 _let_1122 _let_1121 _let_1120 _let_1119))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c8 tptp.sk_c10 _let_59 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_1113 false _let_50)) _let_1118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_1088 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_1112 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_67 tptp.sk_c10 _let_59 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_1111 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c10 _let_71 _let_60 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_1110 false _let_50)) _let_408 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_221 _let_1089 _let_71 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_1109 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_67 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_1108 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_1107 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_1106 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_67 _let_55 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_1104 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_15 _let_67 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_1103 false _let_50)) _let_578 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_209 tptp.sk_c10 _let_94 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_1102 false _let_50)) _let_406 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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_let_1100 false _let_217 false _let_1099 false _let_1097 false _let_231 false _let_211 false _let_1096 false _let_1095 false _let_1093 false _let_1092 false _let_1087 false _let_230 false _let_115 false _let_1086 false _let_229 false _let_112 false _let_1085 false _let_1066 false _let_1084 false _let_216 false _let_1083 false _let_108 false _let_1081 false _let_208 false _let_106 false _let_1079 false _let_318 false _let_103 false _let_95 false _let_207 false _let_1077 false _let_93 false _let_261 false _let_91 false _let_314 false _let_87 false _let_1076 false _let_1075 false _let_79 false _let_75 false _let_225 false _let_72 false _let_70 false _let_69 false _let_1065 false _let_66 false _let_63 false _let_56 false _let_222 false _let_206 false _let_308 false _let_53 false _let_149 false _let_148 true _let_205 true _let_202 true _let_201 false _let_198 false _let_70 false _let_56 false _let_147 false _let_197 false _let_196 false _let_146 false _let_145)) :args ((or _let_285 _let_289 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(CONG _let_371 (TRANS (SYMM _let_1024) (SYMM _let_1025) _let_1027 (SYMM _let_1030)) :args _let_367) (SYMM _let_1033) (CONG _let_518 _let_491 :args _let_367) _let_822 _let_825)) _let_992 :args _let_367)) :args _let_367) (SYMM _let_1032) (CONG (TRANS (TRANS (CONG _let_486 _let_824 :args _let_367) (SYMM _let_1031) (CONG _let_973 _let_491 :args _let_367) _let_1030 (SYMM _let_1029)) _let_1029 (SYMM _let_1028) (TRANS _let_1028 (SYMM _let_1027) _let_1025 _let_1024 (CONG _let_445 (TRANS _let_1020 _let_1019 _let_1018 _let_1017 _let_832 _let_829 _let_1016 _let_1014 _let_986 _let_985) :args _let_367) _let_688 _let_967 _let_717 _let_532 _let_531 _let_964 _let_712 _let_462 _let_459 _let_456 _let_372)) _let_992 :args _let_367) (CONG _let_980 _let_992 :args _let_367)) :args _let_367) _let_1004 (CONG _let_1002 (TRANS _let_1001 (CONG _let_990 _let_376 :args _let_367) (SYMM _let_999) (CONG (REFL :args (_let_349)) _let_376 :args _let_367) (CONG (TRANS (SYMM _let_998) (TRANS _let_998 (CONG _let_988 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_let_948 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_313 tptp.sk_c9 _let_67 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_359 false _let_50)) _let_583 _let_582 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_226 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_358 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c10 _let_59 _let_67 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_357 false _let_50)) _let_581 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 _let_55 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_356 false _let_50)) _let_580 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_313 _let_353 _let_221 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:args _let_161)) _let_162 :args (_let_347 false _let_50)) _let_939 _let_175 _let_572 _let_938 _let_173 _let_172 _let_167 _let_164 _let_160 _let_159 _let_396 _let_571 _let_395 _let_394 _let_393 _let_154 _let_937 _let_853 _let_859 _let_936 _let_935 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_901)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_698 _let_715 _let_721 _let_529 _let_476 _let_559 _let_448 _let_465 _let_641 _let_551 _let_506 _let_515 _let_606 _let_670 _let_517 _let_693 _let_472 _let_482 _let_455 _let_495 _let_676 _let_457 _let_521 _let_690 _let_555 _let_372 _let_509 _let_724 _let_682 _let_502 _let_897 _let_647 _let_563 _let_511 _let_644 _let_492 _let_524 _let_534 _let_707 _let_369 _let_655 _let_453 _let_469 _let_660 _let_443 _let_687 _let_543 _let_154 _let_536 _let_705 _let_460 _let_674 _let_489 _let_666) (SCOPE (TRANS _let_478 (CONG _let_931 :args _let_442) (CONG (TRANS _let_474 (CONG _let_486 _let_501 :args _let_367) _let_570 _let_522 (SYMM _let_934) _let_569 _let_514) :args _let_442) (CONG (TRANS _let_513 _let_548 _let_934 _let_523 _let_520 (CONG _let_486 (TRANS _let_373 _let_455 _let_728 _let_461 _let_727 (SYMM _let_930) _let_913 _let_912 _let_716 _let_933 _let_687 (CONG _let_445 (TRANS _let_527 _let_749 _let_726 _let_723 (CONG _let_375 _let_929 :args _let_367)) :args _let_367) (SYMM _let_803) (CONG (SYMM _let_916) (SYMM _let_929) :args _let_367) (CONG (TRANS (TRANS _let_914 _let_913 _let_912 _let_716 _let_933 _let_687) _let_688 (TRANS _let_932 _let_717 (SYMM _let_912) _let_531 _let_930 _let_712 _let_462 _let_459 _let_456 _let_372)) _let_929 :args _let_367) (SYMM _let_928) _let_704 (CONG (TRANS _let_376 _let_925 _let_526) (SYMM _let_927) :args _let_367) (CONG _let_903 _let_702 :args _let_367) (CONG _let_701 _let_927 :args _let_367)) :args _let_367) (SYMM _let_926) (CONG _let_916 (TRANS (SYMM _let_917) (CONG _let_916 _let_925 :args _let_367) (CONG _let_695 _let_749 :args _let_367)) :args _let_367) (SYMM _let_924) (CONG (TRANS (TRANS _let_692 (CONG _let_514 _let_371 :args _let_367) _let_687) _let_688) (TRANS _let_519 _let_526 _let_686 _let_923 _let_370) :args _let_367) _let_684 (CONG (TRANS _let_922 _let_679) _let_646 :args _let_367) (SYMM _let_921) _let_673 _let_662 _let_909 _let_672 (CONG (TRANS _let_372 _let_485) (SYMM _let_918) :args _let_367) (CONG (TRANS _let_501 (TRANS _let_373 _let_565 (SYMM _let_904) _let_560 (CONG (TRANS _let_443 _let_920 _let_557 _let_554) _let_371 :args _let_367) _let_553 _let_550) _let_451) _let_918 :args _let_367) (SYMM _let_908) (CONG _let_444 _let_907 :args _let_367) (SYMM _let_846) (CONG (TRANS (TRANS _let_561 _let_904 _let_902 _let_372) _let_373) _let_371 :args _let_367) _let_750 _let_608 _let_527) :args _let_442) (CONG (TRANS _let_749 _let_899) :args _let_442)) :args (_let_343 _let_335 _let_218 _let_324 _let_149 _let_91 _let_130 _let_327 _let_339 _let_331 _let_329 _let_330 _let_213 _let_342 _let_148 _let_341 _let_320 _let_58 _let_308 _let_147 _let_222 _let_195 _let_326 _let_115 _let_323 _let_56 _let_321 _let_194 _let_340 _let_259 _let_146 _let_72 _let_307 _let_106 _let_333 _let_206 _let_69 _let_316 _let_63 _let_70 _let_338 _let_93 _let_318 _let_332 _let_103 _let_79 _let_123 _let_53 _let_311 _let_111 _let_314 _let_336 _let_207 _let_334))) :args (_let_53 _let_194 _let_195 _let_146 _let_147 _let_148 _let_149 _let_307 _let_308 _let_206 _let_222 _let_259 _let_56 _let_58 _let_63 _let_69 _let_70 _let_72 _let_332 _let_79 _let_311 _let_314 _let_91 _let_93 _let_207 _let_316 _let_103 _let_318 _let_106 _let_333 _let_111 _let_115 _let_123 _let_334 _let_130 _let_320 _let_335 _let_321 _let_336 _let_338 _let_323 _let_324 _let_339 _let_340 _let_341 _let_326 _let_218 _let_342 _let_343 _let_213 _let_327 _let_329 _let_330 _let_331))) :args (true _let_901)) :args ((or _let_604 _let_285 _let_289 _let_870 _let_199 _let_204 _let_203 _let_440 _let_439 _let_438 _let_603 _let_437 _let_436 _let_435 _let_602 _let_434 _let_433 _let_601 _let_600 _let_599 _let_432 _let_431 _let_430 _let_242 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_598 _let_597 _let_596 _let_423 _let_595 _let_422 _let_421 _let_594 _let_420 _let_593 _let_592 _let_418 _let_417 _let_591 _let_590 _let_589 _let_416 _let_588 _let_587 _let_586 _let_585 _let_415 _let_414 _let_413 _let_412))) _let_411 _let_410 _let_409 _let_408 _let_584 _let_583 _let_582 _let_581 _let_407 _let_580 _let_579 _let_578 _let_406 _let_405 _let_577 _let_576 _let_403 _let_575 _let_402 _let_191 _let_574 _let_190 _let_186 _let_184 _let_573 _let_182 _let_401 _let_181 _let_400 _let_399 _let_178 _let_177 _let_398 _let_397 _let_175 _let_572 _let_173 _let_172 _let_167 _let_164 _let_160 _let_159 _let_396 _let_571 _let_395 _let_394 _let_393 _let_154 _let_900 _let_865 _let_584 _let_864 _let_863 _let_862 _let_399 _let_178 _let_176 _let_172 _let_167 _let_166 _let_160 _let_159 _let_395 _let_861 _let_860 (MACRO_RESOLUTION_TRUST _let_859 _let_856 _let_853 _let_851 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_299)) :args ((or _let_296 _let_298 _let_755))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_780)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_816 _let_812 _let_847 _let_369 _let_707 _let_524 _let_453 _let_832 _let_482 _let_476 _let_819 _let_838 _let_676 _let_502 _let_724 _let_517 _let_372 _let_154 _let_843 _let_563 _let_647 _let_506 _let_758 _let_721 _let_822 _let_489 _let_687 _let_790 _let_795 _let_559 _let_804 _let_826 _let_641) (SCOPE (TRANS _let_369 (SYMM _let_786) (SYMM _let_787) (SYMM _let_788) _let_525 _let_849 _let_790 (SYMM _let_793) _let_848 _let_795 (SYMM _let_798) (CONG _let_376 (REFL :args (_let_78)) :args _let_367) (SYMM (SYMM _let_847)) (CONG _let_611 (TRANS (SYMM _let_807) (SYMM _let_811) _let_813 (SYMM _let_815) _let_817 (SYMM _let_831) (SYMM _let_842) _let_844 (SYMM _let_845)) :args _let_367) _let_648 _let_801 _let_800 _let_652 _let_760 (CONG _let_517 :args _let_442) (CONG (TRANS _let_524 _let_788 _let_787 _let_786 (CONG (TRANS _let_372 (TRANS _let_373 _let_563 _let_837 _let_836 _let_835 _let_560)) _let_371 :args _let_367) _let_846 (CONG _let_785 (TRANS _let_845 (SYMM _let_844) _let_842 _let_831 (SYMM _let_817) _let_815 _let_814 _let_811 _let_807 _let_798 _let_796 _let_794 _let_793 _let_791 _let_789 _let_518) :args _let_367) (CONG _let_785 (TRANS _let_517 _let_524 _let_788 _let_787 _let_786 _let_713) :args _let_367) (CONG _let_785 _let_375 :args _let_367) _let_561 _let_784 _let_782 _let_781 _let_564 _let_372) :args _let_442) (CONG _let_611 :args _let_442)) :args (_let_764 _let_219 _let_765 _let_70 _let_63 _let_69 _let_93 _let_234 _let_58 _let_149 _let_763 _let_254 _let_222 _let_259 _let_194 _let_148 _let_56 _let_53 _let_766 _let_307 _let_72 _let_329 _let_276 _let_218 _let_352 _let_207 _let_79 _let_216 _let_217 _let_91 _let_118 _let_767 _let_339))) :args (_let_53 _let_276 _let_194 _let_254 _let_148 _let_149 _let_307 _let_222 _let_259 _let_56 _let_58 _let_63 _let_69 _let_70 _let_72 _let_79 _let_763 _let_91 _let_93 _let_207 _let_216 _let_764 _let_765 _let_118 _let_352 _let_234 _let_217 _let_339 _let_218 _let_219 _let_766 _let_329 _let_767))) :args (true _let_780)) :args ((or _let_604 _let_756 _let_285 _let_255 _let_204 _let_203 _let_440 _let_603 _let_437 _let_436 _let_435 _let_602 _let_434 _let_433 _let_601 _let_599 (not _let_763) _let_430 _let_295 _let_429 _let_428 _let_779 (not _let_764) (not _let_765) _let_778 _let_777 _let_776 _let_775 _let_591 _let_588 _let_774 (not _let_766) _let_414 (not _let_767)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c10 _let_15 _let_67 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_767 false _let_50)) _let_409 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c10 _let_55 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_766 false _let_50)) _let_773 _let_581 _let_578 _let_772 _let_771 _let_770 _let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_55 tptp.sk_c10 _let_78 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_765 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_68 tptp.sk_c9 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_764 false _let_50)) _let_769 _let_399 _let_178 _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk_c9 _let_67 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_763 false _let_50)) _let_175 _let_173 _let_172 _let_167 _let_164 _let_160 _let_159 _let_396 _let_571 _let_393 _let_154 (RESOLUTION (CNF_AND_NEG :args (_let_768)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_524 _let_517) (SCOPE _let_748 :args (_let_69 _let_148))) :args (_let_148 _let_69))) :args (true _let_768)) _let_167 _let_392 _let_391 :args ((or _let_756 _let_285 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_let_335 _let_321 _let_336 _let_322 _let_338 _let_323 _let_324 _let_339 _let_340 _let_341 _let_326 _let_218 _let_342 _let_343 _let_213 _let_327 _let_329 _let_330 _let_331))) :args (true _let_605)) :args ((or _let_604 _let_285 _let_289 _let_199 _let_204 _let_203 _let_440 _let_439 _let_438 _let_603 _let_437 _let_436 _let_435 _let_602 _let_434 _let_433 _let_601 _let_600 _let_599 _let_432 _let_431 _let_430 _let_344 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_598 _let_597 _let_596 _let_423 _let_595 _let_422 _let_421 _let_594 _let_420 _let_593 _let_419 _let_592 _let_418 _let_417 _let_591 _let_590 _let_589 _let_416 _let_588 _let_587 _let_586 _let_585 _let_415 _let_414 _let_413 _let_412))) _let_411 _let_410 _let_409 _let_408 _let_584 _let_583 _let_582 _let_581 _let_407 _let_580 _let_579 _let_578 _let_406 _let_405 _let_577 _let_404 _let_576 _let_403 _let_575 _let_402 _let_191 _let_574 _let_190 _let_186 _let_184 _let_573 _let_182 _let_401 _let_181 _let_400 _let_399 _let_178 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_let_417 _let_416 _let_415 _let_414 _let_413 _let_412))) _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_191 _let_190 _let_182 _let_401 _let_181 _let_400 _let_399 _let_178 _let_177 _let_398 _let_397 _let_172 _let_167 _let_160 _let_159 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_389 _let_384 _let_380 (MACRO_RESOLUTION_TRUST _let_365 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_290 _let_147))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_292 _let_147))) :args ((or _let_147 _let_364) false _let_290 false _let_292)) _let_378 _let_172 _let_159 (MACRO_RESOLUTION_TRUST _let_365 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_290 _let_196))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_292 _let_196))) :args ((or _let_196 _let_364) false _let_290 false _let_292)) (MACRO_RESOLUTION_TRUST _let_365 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_290 _let_197))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_292 _let_197))) :args ((or _let_197 _let_364) false _let_290 false _let_292)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_362)) :args _let_361)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_362)) :args _let_361)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_362)) :args _let_361)) :args ((or _let_285 _let_289 _let_360) false _let_237 false _let_331 false _let_327 false _let_213 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_let_248 false _let_242 false _let_331 false _let_330 false _let_329 false _let_327 false _let_213 false _let_343 false _let_342 false _let_218 false _let_326 false _let_341 false _let_340 false _let_339 false _let_324 false _let_323 false _let_338 false _let_336 false _let_321 false _let_335 false _let_320 false _let_130 false _let_334 false _let_123 false _let_115 false _let_111 false _let_333 false _let_106 false _let_318 false _let_103 false _let_316 false _let_207 false _let_93 false _let_91 false _let_314 false _let_311 false _let_79 false _let_332 false _let_72 false _let_70 false _let_69 false _let_63 false _let_58 false _let_56 false _let_259 false _let_222 false _let_206 false _let_308 false _let_307 false _let_53 false _let_215 false _let_214 false _let_213 false _let_212 false _let_211 false _let_208 false _let_207 false _let_93 false _let_87 false _let_70 false _let_69 false _let_66 false _let_58 false _let_56 false _let_206 false _let_146 false _let_145 true _let_276 true 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_let_87 false _let_70 false _let_66 false _let_58 false _let_56 false _let_251 false _let_254 true _let_256 true _let_250 true _let_249 true _let_248 true _let_245 false _let_242 false _let_239 false _let_237 false _let_143 false _let_236 false _let_219 false _let_142 false _let_218 false _let_235 false _let_130 false _let_217 false _let_234 false _let_231 false _let_118 false _let_230 false _let_116 false _let_115 false _let_229 false _let_112 false _let_227 false _let_216 false _let_108 false _let_106 false _let_103 false _let_97 false _let_95 false _let_93 false _let_91 false _let_87 false _let_79 false _let_225 false _let_72 false _let_70 false _let_69 false _let_66 false _let_63 false _let_58 false _let_56 false _let_222 false _let_53 false _let_241 false _let_239 false _let_237 false _let_143 false _let_236 false _let_219 false _let_142 false _let_218 false _let_235 false _let_130 false _let_217 false _let_234 false _let_231 false _let_118 false _let_230 false _let_116 false _let_115 false _let_229 false _let_112 false _let_227 false _let_216 false _let_108 false _let_106 false _let_103 false _let_97 false _let_95 false _let_93 false _let_91 false _let_87 false _let_79 false _let_225 false _let_72 false _let_70 false _let_69 false _let_66 false _let_63 false _let_58 false _let_56 false _let_222 false _let_53 false _let_240 false _let_239 false _let_237 false _let_143 false _let_236 false _let_219 false _let_142 false _let_218 false _let_235 false _let_130 false _let_217 false _let_234 false _let_231 false _let_118 false _let_230 false _let_116 false _let_115 false _let_229 false _let_112 false _let_227 false _let_216 false _let_108 false _let_106 false _let_103 false _let_97 false _let_95 false _let_93 false _let_91 false _let_87 false _let_79 false _let_225 false _let_72 false _let_70 false _let_69 false _let_66 false _let_63 false _let_58 false _let_56 false _let_222 false _let_53 false _let_220 false _let_219 false _let_218 false _let_217 false _let_118 false _let_216 false _let_93 false _let_79 false _let_70 false _let_69 false _let_66 false _let_63 false _let_58 false _let_56 false _let_53 false _let_215 false _let_214 false _let_213 false _let_212 false _let_211 false _let_208 false _let_207 false _let_93 false _let_87 false _let_70 false _let_69 false _let_66 false _let_58 false _let_56 false _let_206 false _let_149 false _let_148 true _let_205 true _let_202 true _let_201 false _let_198 false _let_70 false _let_56 false _let_147 false _let_197 false _let_196 false _let_146 false _let_145 true _let_195)))) (let ((_let_1582 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) _let_1581 :args (_let_145 true _let_194)))) (let ((_let_1583 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_194 _let_146))) _let_1581 :args (_let_146 true _let_194)))) (let ((_let_1584 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_194 _let_147))) _let_1581 :args (_let_147 true _let_194)))) (let ((_let_1585 (MACRO_RESOLUTION_TRUST _let_389 (MACRO_RESOLUTION_TRUST _let_384 (MACRO_RESOLUTION_TRUST _let_380 _let_1584 (MACRO_RESOLUTION_TRUST _let_378 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_194 _let_196))) _let_1581 :args (_let_196 true _let_194)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_194 _let_197))) _let_1581 :args (_let_197 true _let_194)) _let_159 _let_172 :args (_let_198 false _let_196 false _let_197 false _let_56 false _let_70)) :args (_let_379 false _let_147 false _let_198)) :args (_let_387 true _let_201)) :args (_let_386 true _let_202)))) (let ((_let_1586 (MACRO_RESOLUTION_TRUST _let_391 _let_1585 :args (_let_148 true _let_205)))) (let ((_let_1587 (MACRO_RESOLUTION_TRUST _let_392 _let_1585 :args (_let_149 true _let_205)))) (let ((_let_1588 (not _let_150))) (let ((_let_1589 (not _let_120))) (let ((_let_1590 (and _let_53 _let_285 _let_56 _let_70 _let_120))) (let ((_let_1591 (ASSUME :args _let_1157))) (let ((_let_1592 (ASSUME :args (_let_120)))) (let ((_let_1593 (SYMM _let_1592))) (let ((_let_1594 (not _let_151))) (let ((_let_1595 (or (not (= tptp.sk_c9 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) _let_1594))) (let ((_let_1596 (not _let_1595))) (let ((_let_1597 (= tptp.sk_c9 (tptp.multiply _let_89 tptp.sk_c8)))) (let ((_let_1598 (not _let_1597))) (let ((_let_1599 (= tptp.sk_c9 _let_300))) (let ((_let_1600 (not _let_1599))) (let ((_let_1601 (or _let_1600 _let_1598))) (let ((_let_1602 (not _let_249))) (let ((_let_1603 (not _let_1601))) (let ((_let_1604 (and _let_53 _let_145 _let_146 _let_148 _let_149 _let_56 _let_58 _let_66 _let_69 _let_70 _let_72 _let_87 _let_91 _let_93 _let_95 _let_97 _let_106 _let_108 _let_115 _let_116 _let_339 _let_143))) (let ((_let_1605 (CONG _let_371 _let_1508 :args _let_367))) (let ((_let_1606 (SYMM _let_1507))) (let ((_let_1607 (CONG _let_371 (TRANS _let_889 _let_1421 _let_1420 _let_893 _let_613 _let_1606) :args _let_367))) (let ((_let_1608 (TRANS _let_1421 _let_1420 _let_893 _let_613 _let_1606))) (let ((_let_1609 (CONG (TRANS _let_1608 _let_1508) _let_445 :args _let_367))) (let ((_let_1610 (TRANS _let_1506 _let_484 _let_481 _let_479 (SYMM _let_1609)))) (let ((_let_1611 (SYMM _let_1162))) (let ((_let_1612 (and _let_145 _let_146 _let_148 _let_149 _let_56 _let_58 _let_66 _let_69 _let_70 _let_87 _let_91 _let_93 _let_95 _let_97 _let_103 _let_106 _let_108 _let_112 _let_115 _let_130 _let_142 _let_143))) (let ((_let_1613 (TRANS _let_450 (CONG _let_446 _let_1508 :args _let_367)))) (let ((_let_1614 (_let_1602))) (let ((_let_1615 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_1616 (= tptp.sk_c10 _let_1615))) (let ((_let_1617 (not _let_1616))) (let ((_let_1618 (= tptp.sk_c9 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.sk_c10)))) (let ((_let_1619 (not _let_1618))) (let ((_let_1620 (or _let_1619 _let_1617))) (let ((_let_1621 (= tptp.sk_c9 _let_1615))) (let ((_let_1622 (not _let_1621))) (let ((_let_1623 (= tptp.sk_c10 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.sk_c9)))) (let ((_let_1624 (not _let_1623))) (let ((_let_1625 (or _let_1624 _let_1622))) (let ((_let_1626 (not _let_1620))) (let ((_let_1627 (not _let_1625))) (let ((_let_1628 (or _let_871 _let_870))) (let ((_let_1629 (not _let_283))) (let ((_let_1630 (not _let_1628))) (let ((_let_1631 (_let_1629))) (let ((_let_1632 (REFL :args (_let_1625)))) (let ((_let_1633 (and _let_145 _let_148 _let_149 _let_56 _let_58 _let_66 _let_70 _let_87 _let_1621 _let_93 _let_95 _let_97 _let_106 _let_115 _let_143))) (let ((_let_1634 (ASSUME :args (_let_1621)))) (let ((_let_1635 (and _let_145 _let_148 _let_149 _let_56 _let_58 _let_66 _let_70 _let_87 _let_1623 _let_93 _let_95 _let_97 _let_106 _let_115 _let_143))) (let ((_let_1636 (TRANS _let_374 _let_370 _let_892 _let_1464 _let_891))) (let ((_let_1637 (CONG (TRANS (CONG (TRANS (SYMM _let_1636) _let_375) _let_445 :args _let_367) _let_882 _let_881 _let_483 _let_372) _let_376 :args _let_367))) (let ((_let_1638 (CONG (TRANS _let_376 _let_1636 _let_888) _let_695 :args _let_367))) (let ((_let_1639 (ASSUME :args (_let_1623)))) (let ((_let_1640 (MACRO_RESOLUTION_TRUST _let_1061 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_362)) :args _let_361)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1620)) :args ((or _let_1617 _let_1619 _let_1626))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1635)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_369 _let_372 _let_482 _let_453 _let_476 _let_892 _let_517 _let_890 _let_1450 _let_511 _let_1447 _let_690 _let_1241 _let_888 _let_1639) (SCOPE (TRANS _let_517 _let_1638 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1637 _let_1550 _let_370 (SYMM (SYMM _let_1639)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (TRANS _let_517 _let_1638 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1637 _let_1550 _let_370) :args _let_367)) :args (_let_70 _let_56 _let_58 _let_93 _let_149 _let_145 _let_148 _let_66 _let_97 _let_106 _let_143 _let_115 _let_95 _let_87 _let_1623))) :args (_let_145 _let_148 _let_149 _let_56 _let_58 _let_66 _let_70 _let_87 _let_1623 _let_93 _let_95 _let_97 _let_106 _let_115 _let_143))) :args (true _let_1635)) :args ((or _let_871 _let_204 _let_203 _let_436 _let_435 _let_869 _let_433 _let_868 _let_1624 _let_1618 _let_429 _let_1151 _let_1433 _let_424 _let_596 _let_1429))) _let_1587 _let_1586 _let_1582 _let_193 _let_186 _let_182 _let_180 _let_179 _let_178 _let_176 _let_172 _let_166 _let_160 _let_159 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1633)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1634 _let_1517 _let_476) (SCOPE (TRANS _let_478 _let_1503 (SYMM (SYMM _let_1634))) :args (_let_1621 _let_1501 _let_149))) :args (_let_145 _let_148 _let_149 _let_56 _let_58 _let_66 _let_70 _let_87 _let_1621 _let_93 _let_95 _let_97 _let_106 _let_115 _let_143))) :args (true _let_1633)) :args ((or _let_871 _let_204 _let_203 _let_436 _let_435 _let_869 _let_433 _let_868 _let_1622 _let_1616 _let_429 _let_1151 _let_1433 _let_424 _let_596 _let_1429))) _let_1587 _let_1586 _let_1582 _let_193 _let_186 _let_182 _let_180 _let_179 _let_178 _let_176 _let_172 _let_166 _let_160 _let_159 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1625 1)) (CONG _let_1632 (MACRO_SR_PRED_INTRO :args ((= (not _let_1622) _let_1621))) :args _let_385)) :args ((or _let_1621 _let_1625))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1625 0)) (CONG _let_1632 (MACRO_SR_PRED_INTRO :args ((= (not _let_1624) _let_1623))) :args _let_385)) :args ((or _let_1623 _let_1625))) :args ((or _let_1625 _let_1626) false _let_1618 false _let_149 false _let_148 false _let_145 false _let_143 false _let_115 false _let_106 false _let_97 false _let_95 false _let_93 false _let_87 false _let_70 false _let_66 false _let_58 false _let_56 false _let_1616 false _let_149 false _let_148 false _let_145 false _let_143 false _let_115 false _let_106 false _let_97 false _let_95 false _let_93 false _let_87 false _let_70 false _let_66 false _let_58 false _let_56 false _let_1621 false _let_1623)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1631)) :args _let_1631)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1629) _let_283))) (REFL :args (_let_1627)) :args _let_385)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1411 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X4 tptp.sk_c9)))) :args _let_1409)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1628)) :args ((or _let_871 _let_870 _let_1630))) _let_1582 _let_1583 :args (_let_1630 false _let_145 false _let_146)) :args (_let_1629 true _let_1628)) :args (_let_1627 true _let_283)) :args (_let_1626 true _let_1625)) :args (_let_360 true _let_1620)) :args (_let_1059 true _let_284)))) (let ((_let_1641 (and _let_53 _let_145 _let_146 _let_147 _let_151 _let_152 _let_153 _let_148 _let_149 _let_56 _let_58 _let_63 _let_66 _let_69 _let_70 _let_72 _let_75 _let_79 _let_81 _let_84 _let_87 _let_91 _let_93 _let_95 _let_97 _let_100 _let_103 _let_105 _let_106 _let_108 _let_110 _let_111 _let_112 _let_114 _let_115 _let_116 _let_118 _let_120 _let_123 _let_124 _let_125 _let_127 _let_130 _let_132 _let_133 _let_134 _let_135 _let_137 _let_138 _let_140 _let_141 _let_142 _let_143 _let_144))) (let ((_let_1642 (TRANS _let_613 _let_1384))) (let ((_let_1643 (SYMM _let_1642))) (let ((_let_1644 (CONG _let_518 _let_1643 :args _let_367))) (let ((_let_1645 (CONG _let_525 _let_1642 :args _let_367))) (let ((_let_1646 (TRANS _let_708 _let_802 _let_1645 _let_1644 _let_652))) (let ((_let_1647 (CONG _let_1643 _let_703 :args _let_367))) (let ((_let_1648 (TRANS _let_1386 _let_370 _let_892 _let_1464 _let_891))) (let ((_let_1649 (SYMM _let_1648))) (let ((_let_1650 (CONG (TRANS _let_1649 _let_1643) _let_445 :args _let_367))) (let ((_let_1651 (TRANS _let_1650 _let_882 _let_881 _let_483 _let_1383))) (let ((_let_1652 (TRANS (SYMM _let_1650) _let_1651))) (let ((_let_1653 (CONG _let_1652 (TRANS (SYMM _let_1644) (SYMM _let_1645) _let_808 _let_707) :args _let_367))) (let ((_let_1654 (ASSUME :args (_let_127)))) (let ((_let_1655 (SYMM _let_1654))) (let ((_let_1656 (CONG _let_371 _let_1643 :args _let_367))) (let ((_let_1657 (CONG _let_371 (TRANS _let_889 _let_1421 _let_1420 _let_893 _let_613 _let_1384) :args _let_367))) (let ((_let_1658 (CONG (SYMM _let_1652) (TRANS _let_1657 _let_1656) :args _let_367))) (let ((_let_1659 (CONG _let_1642 _let_1479 :args _let_367))) (let ((_let_1660 (SYMM _let_1657))) (let ((_let_1661 (SYMM _let_1656))) (let ((_let_1662 (CONG _let_373 _let_1643 :args _let_367))) (let ((_let_1663 (CONG _let_1651 _let_1642 :args _let_367))) (let ((_let_1664 (CONG (TRANS _let_1642 _let_1648 _let_888) _let_695 :args _let_367))) (let ((_let_1665 (ASSUME :args (_let_151)))) (let ((_let_1666 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_1667 (ASSUME :args (_let_84)))) (let ((_let_1668 (ASSUME :args (_let_125)))) (let ((_let_1669 (SYMM _let_1668))) (let ((_let_1670 (ASSUME :args (_let_114)))) (let ((_let_1671 (ASSUME :args (_let_105)))) (let ((_let_1672 (ASSUME :args (_let_81)))) (let ((_let_1673 (TRANS _let_1672 (TRANS (SYMM _let_1672) (CONG (SYMM (SYMM _let_1671)) _let_371 :args _let_367) (SYMM (SYMM _let_1670)))))) (let ((_let_1674 (CONG _let_1673 _let_371 :args _let_367))) (let ((_let_1675 (CONG (SYMM _let_1673) (TRANS _let_517 _let_1664 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1663 _let_1662 _let_370) :args _let_367))) (let ((_let_1676 (ASSUME :args (_let_140)))) (let ((_let_1677 (SYMM _let_1676))) (let ((_let_1678 (ASSUME :args (_let_138)))) (let ((_let_1679 (CONG (REFL :args (_let_82)) (TRANS (SYMM (SYMM _let_1678)) _let_696) :args _let_367))) (let ((_let_1680 (ASSUME :args (_let_137)))) (let ((_let_1681 (SYMM (SYMM _let_1680)))) (let ((_let_1682 (CONG _let_445 _let_1643 :args _let_367))) (let ((_let_1683 (ASSUME :args (_let_141)))) (let ((_let_1684 (TRANS (SYMM _let_1683) (CONG _let_454 _let_500 :args _let_367)))) (let ((_let_1685 (CONG _let_1684 _let_371 :args _let_367))) (let ((_let_1686 (TRANS _let_1664 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1663 _let_1662 _let_370))) (let ((_let_1687 (CONG (SYMM _let_1684) _let_1686 :args _let_367))) (let ((_let_1688 (ASSUME :args (_let_134)))) (let ((_let_1689 (SYMM _let_1688))) (let ((_let_1690 (SYMM _let_1682))) (let ((_let_1691 (CONG (TRANS _let_1690 _let_544) _let_695 :args _let_367))) (let ((_let_1692 (ASSUME :args (_let_133)))) (let ((_let_1693 (CONG (TRANS _let_450 (CONG _let_446 _let_1643 :args _let_367)) _let_695 :args _let_367))) (let ((_let_1694 (REFL :args (_let_83)))) (let ((_let_1695 (CONG _let_1694 _let_1383 :args _let_367))) (let ((_let_1696 (CONG (TRANS (CONG (TRANS _let_1681 _let_1679 _let_1677 _let_1675 _let_1674 _let_1669) _let_500 :args _let_367) (SYMM _let_1695) (TRANS _let_1695 (CONG _let_1694 (TRANS _let_373 _let_1161 _let_1577 _let_560 _let_1497 _let_1166 (SYMM _let_1693) (CONG (TRANS (TRANS (CONG _let_549 (SYMM _let_1686) :args _let_367) _let_1494 _let_1693 _let_1167 _let_1165 _let_561 _let_1564 _let_1162 _let_1383) _let_373) (TRANS _let_1690 _let_544 (SYMM _let_1685) (SYMM _let_1687) _let_1689 (SYMM _let_1691) _let_692 _let_689 _let_687) :args _let_367) (SYMM _let_1692) (CONG _let_454 _let_783 :args _let_367) _let_688 (SYMM _let_689) _let_691 _let_1691 (SYMM _let_1689) _let_1687 _let_1685 _let_545 _let_1682) :args _let_367) _let_1681 _let_1679 _let_1677 _let_1675 _let_1674 _let_1669) (TRANS (SYMM (SYMM _let_1667)) (CONG _let_1666 _let_1646 :args _let_367) (SYMM _let_1665) _let_517) (TRANS _let_1664 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1663 _let_1662 _let_370 _let_892 _let_1464 _let_891) _let_1649 _let_1643) (TRANS _let_613 (SYMM _let_1662) (SYMM _let_1663) (SYMM _let_1514) _let_1447 _let_1558 _let_1242 _let_1557 (SYMM _let_1664) _let_524) :args _let_367))) (let ((_let_1697 (ASSUME :args (_let_144)))) (let ((_let_1698 (CONG (REFL :args (_let_131)) _let_1642 :args _let_367))) (let ((_let_1699 (ASSUME :args (_let_132)))) (let ((_let_1700 (SYMM _let_1699))) (let ((_let_1701 (ASSUME :args (_let_100)))) (let ((_let_1702 (ASSUME :args (_let_135)))) (let ((_let_1703 (ASSUME :args (_let_124)))) (let ((_let_1704 (TRANS (SYMM (SYMM _let_1703)) (CONG _let_1666 _let_1643 :args _let_367)))) (let ((_let_1705 (CONG _let_1704 (TRANS (SYMM (SYMM _let_1702)) (CONG _let_695 (TRANS _let_1661 _let_1660 _let_1659 _let_1547 _let_1658 _let_648 _let_808) :args _let_367) (CONG _let_695 _let_707 :args _let_367) _let_805) :args _let_367))) (let ((_let_1706 (CONG (SYMM _let_1704) (REFL :args (_let_109)) :args _let_367))) (let ((_let_1707 (ASSUME :args (_let_110)))) (let ((_let_1708 (SYMM _let_1707))) (let ((_let_1709 (CONG _let_1180 (TRANS _let_1176 _let_517 _let_524) :args _let_367))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1641)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1592 _let_372 _let_369 _let_154 _let_897 _let_517 _let_524 _let_707 _let_705 _let_482 _let_453 _let_476 _let_892 _let_890 _let_1654 _let_647 _let_888 _let_1481 _let_495 _let_1450 _let_511 _let_1447 _let_690 _let_1241 _let_1665 _let_1667 _let_1668 _let_1670 _let_1671 _let_1672 _let_1676 _let_1678 _let_1680 _let_543 _let_1683 _let_1688 _let_687 _let_1692 _let_1161 _let_559 _let_443 _let_1166 _let_448 _let_1493 _let_1697 _let_1699 _let_1701 _let_1703 _let_804 _let_1702 _let_1707 _let_1179 _let_1175 _let_1184) (SCOPE (TRANS _let_517 _let_1664 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1663 _let_1662 _let_1384 _let_1186 _let_1709 (CONG _let_371 (TRANS _let_525 _let_1664 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1663 _let_1662 _let_1384 _let_1186 _let_1709 (SYMM _let_1696) _let_1697 (SYMM _let_1698) _let_1700 _let_1701 (SYMM _let_1705) (SYMM _let_1706) _let_1708) :args _let_367) (CONG _let_371 (TRANS (SYMM _let_1708) _let_1706 _let_1705 (SYMM _let_1701) (SYMM _let_1700) _let_1698 (SYMM _let_1697) _let_1696 (CONG _let_371 (TRANS _let_525 _let_1664 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1663 _let_1662 _let_370 _let_892 _let_1464 _let_891) :args _let_367) _let_1549 _let_1657 _let_1656 _let_1211) :args _let_367) (CONG _let_371 (TRANS _let_1209 _let_1661 _let_1660 _let_1659 _let_1547 _let_1658 _let_648 _let_808 _let_707 (SYMM _let_1647) _let_705 (SYMM _let_1653) _let_1655) :args _let_367) (CONG _let_371 (TRANS (SYMM _let_1655) _let_1653 _let_706 _let_1647) :args _let_367) (CONG _let_1642 _let_1646 :args _let_367) (CONG _let_1643 _let_657 :args _let_367) (CONG _let_371 (TRANS _let_653 (CONG _let_701 _let_1642 :args _let_367) _let_1593) :args _let_367)) :args (_let_120 _let_56 _let_70 _let_53 _let_146 _let_148 _let_69 _let_63 _let_111 _let_58 _let_93 _let_149 _let_145 _let_66 _let_127 _let_72 _let_87 _let_116 _let_147 _let_97 _let_106 _let_143 _let_115 _let_95 _let_151 _let_84 _let_125 _let_114 _let_105 _let_81 _let_140 _let_138 _let_137 _let_123 _let_141 _let_134 _let_79 _let_133 _let_108 _let_91 _let_103 _let_112 _let_130 _let_142 _let_144 _let_132 _let_100 _let_124 _let_118 _let_135 _let_110 _let_153 _let_152 _let_75))) :args (_let_53 _let_145 _let_146 _let_147 _let_151 _let_152 _let_153 _let_148 _let_149 _let_56 _let_58 _let_63 _let_66 _let_69 _let_70 _let_72 _let_75 _let_79 _let_81 _let_84 _let_87 _let_91 _let_93 _let_95 _let_97 _let_100 _let_103 _let_105 _let_106 _let_108 _let_110 _let_111 _let_112 _let_114 _let_115 _let_116 _let_118 _let_120 _let_123 _let_124 _let_125 _let_127 _let_130 _let_132 _let_133 _let_134 _let_135 _let_137 _let_138 _let_140 _let_141 _let_142 _let_143 _let_144))) :args (true _let_1641)) :args ((or _let_604 _let_871 _let_870 _let_199 _let_1594 _let_287 _let_286 _let_204 _let_203 _let_436 _let_435 _let_602 _let_869 _let_434 _let_433 _let_601 _let_1155 _let_599 (not _let_81) (not _let_84) _let_868 _let_430 _let_429 _let_1151 _let_1433 (not _let_100) _let_426 (not _let_105) _let_424 _let_1148 (not _let_110) _let_597 _let_1143 (not _let_114) _let_596 _let_1431 _let_778 _let_1589 _let_423 (not _let_124) (not _let_125) (not _let_127) _let_422 (not _let_132) _let_150 (not _let_133) (not _let_134) (not _let_135) (not _let_137) (not _let_138) (not _let_140) (not _let_141) _let_1430 _let_1429 (not _let_144)))) (MACRO_RESOLUTION_TRUST _let_1064 _let_1640 :args (_let_153 true _let_288)) (MACRO_RESOLUTION_TRUST _let_1063 _let_1640 :args (_let_152 true _let_288)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1595 1)) (CONG (REFL :args (_let_1595)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1594) _let_151))) :args _let_385)) :args ((or _let_151 _let_1595))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1614)) :args _let_1614)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1602) _let_249))) (REFL :args (_let_1596)) :args _let_385)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1414 :args (_let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X2 tptp.sk_c8)))) :args _let_1413)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1601)) :args ((or _let_1600 _let_1598 _let_1603))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1612)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_443 _let_369 _let_372 _let_448 _let_482 _let_453 _let_476 _let_892 _let_517 _let_890 _let_1450 _let_511 _let_1447 _let_690 _let_1241 _let_888 _let_1493 _let_1166 _let_559 _let_897 _let_524 _let_1161) (SCOPE (TRANS _let_478 (CONG (TRANS _let_453 (CONG (TRANS _let_1383 (TRANS _let_1506 _let_1611 (CONG _let_1351 (TRANS _let_898 _let_517 _let_526) :args _let_367) _let_562 (CONG _let_443 _let_371 :args _let_367) (SYMM _let_1167) (CONG (SYMM _let_1613) _let_695 :args _let_367) _let_1495 (CONG _let_549 (TRANS _let_1516 _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 _let_1512 _let_1509 _let_1505) :args _let_367))) _let_445 :args _let_367) (CONG _let_1613 _let_445 :args _let_367) _let_444) :args _let_442)) :args (_let_103 _let_70 _let_56 _let_130 _let_58 _let_93 _let_149 _let_145 _let_148 _let_66 _let_97 _let_106 _let_143 _let_115 _let_95 _let_87 _let_142 _let_112 _let_91 _let_146 _let_69 _let_108))) _let_476 _let_1517) (SCOPE (TRANS _let_1504 _let_477 (SYMM (SYMM (ASSUME :args (_let_301))))) :args (_let_301 _let_149 _let_1501))) :args (_let_145 _let_146 _let_148 _let_149 _let_56 _let_58 _let_66 _let_69 _let_70 _let_87 _let_91 _let_93 _let_95 _let_97 _let_103 _let_106 _let_108 _let_112 _let_115 _let_130 _let_142 _let_143))) :args (true _let_1612)) :args ((or _let_871 _let_870 _let_204 _let_203 _let_436 _let_435 _let_869 _let_434 _let_433 _let_868 _let_430 _let_1599 _let_429 _let_1151 _let_1433 _let_426 _let_424 _let_1148 _let_1143 _let_596 _let_422 _let_1430 _let_1429))) _let_1582 _let_1583 _let_1586 _let_1587 _let_159 _let_160 _let_166 _let_167 _let_172 _let_176 _let_177 _let_178 _let_179 _let_180 _let_181 _let_182 _let_183 _let_185 _let_186 _let_191 _let_192 _let_193 :args (_let_1599 false _let_145 false _let_146 false _let_148 false _let_149 false _let_56 false _let_58 false _let_66 false _let_69 false _let_70 false _let_87 false _let_91 false _let_93 false _let_95 false _let_97 false _let_103 false _let_106 false _let_108 false _let_112 false _let_115 false _let_130 false _let_142 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1604)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_897 _let_517 _let_369 _let_372 _let_524 _let_647 _let_892 _let_890 _let_476 _let_453 _let_482 _let_888 _let_1481 _let_641 _let_559 _let_1161 _let_1450 _let_511 _let_1447 _let_690 _let_1241) (SCOPE (TRANS _let_517 (CONG (TRANS _let_1510 (SYMM _let_1608) _let_888) _let_695 :args _let_367) _let_1244 _let_1243 _let_1515 _let_1448 _let_1514 (CONG (SYMM _let_1610) _let_1510 :args _let_367) (CONG (TRANS _let_1506 _let_1611 (CONG _let_1351 (TRANS _let_898 _let_517 _let_524) :args _let_367) _let_562) _let_1508 :args _let_367) _let_846 (CONG _let_785 (TRANS (SYMM _let_1605) (SYMM _let_1607) (CONG _let_1510 _let_1479 :args _let_367) _let_1547 (CONG (TRANS _let_1610 _let_1609) (TRANS _let_1607 _let_1605) :args _let_367) _let_648 (CONG _let_525 _let_1510 :args _let_367) (CONG _let_518 _let_1508 :args _let_367)) :args _let_367) (CONG _let_785 _let_1197 :args _let_367)) :args (_let_53 _let_146 _let_148 _let_70 _let_56 _let_69 _let_72 _let_145 _let_66 _let_149 _let_93 _let_58 _let_87 _let_116 _let_339 _let_91 _let_108 _let_97 _let_106 _let_143 _let_115 _let_95))) :args (_let_53 _let_145 _let_146 _let_148 _let_149 _let_56 _let_58 _let_66 _let_69 _let_70 _let_72 _let_87 _let_91 _let_93 _let_95 _let_97 _let_106 _let_108 _let_115 _let_116 _let_339 _let_143))) :args (true _let_1604)) :args ((or _let_604 _let_871 _let_870 _let_204 _let_203 _let_436 _let_435 _let_869 _let_434 _let_433 _let_601 _let_868 _let_430 _let_1597 _let_429 _let_1151 _let_1433 _let_424 _let_1148 _let_596 _let_1431 _let_591 _let_1429))) _let_154 _let_1582 _let_1583 _let_1586 _let_1587 _let_159 _let_160 _let_166 _let_167 _let_172 _let_173 _let_176 _let_177 _let_178 _let_179 _let_180 _let_182 _let_183 _let_186 _let_187 _let_578 _let_193 :args (_let_1597 false _let_53 false _let_145 false _let_146 false _let_148 false _let_149 false _let_56 false _let_58 false _let_66 false _let_69 false _let_70 false _let_72 false _let_87 false _let_91 false _let_93 false _let_95 false _let_97 false _let_106 false _let_108 false _let_115 false _let_116 false _let_339 false _let_143)) :args (_let_1603 false _let_1599 false _let_1597)) :args (_let_1602 true _let_1601)) :args (_let_1596 true _let_249)) :args (_let_151 true _let_1595)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1590)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1591 _let_154 _let_369 _let_372 _let_1592) (SCOPE (FALSE_ELIM (TRANS (CONG _let_701 (CONG _let_371 (TRANS (SYMM _let_1593) (CONG _let_701 _let_1508 :args _let_367) _let_1197) :args _let_367) :args _let_747) (FALSE_INTRO _let_1591))) :args (_let_285 _let_53 _let_70 _let_56 _let_120))) :args (_let_53 _let_285 _let_56 _let_70 _let_120))) :args (true _let_1590)) (CONG _let_1158 (MACRO_SR_PRED_INTRO :args ((= (not _let_285) _let_194))) _let_738 _let_736 (REFL :args (_let_1589)) (REFL :args (_let_1588)) :args _let_385)) :args ((or _let_194 _let_604 _let_436 _let_433 _let_1589 _let_1588))) _let_1581 _let_154 _let_159 _let_172 _let_189 :args (_let_1588 true _let_194 false _let_53 false _let_56 false _let_70 false _let_120)) _let_1587 _let_1586 _let_1584 _let_1583 _let_1582 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_131 _let_55 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_144 false _let_50)) _let_193 _let_192 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_141 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_82 _let_59 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_140 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_59 tptp.sk_c10 _let_59 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_138 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_82 _let_60 _let_59 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_137 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_59 tptp.sk_c10 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_135 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_121 tptp.sk_c10 _let_59 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_134 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_68 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_133 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_83 _let_59 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_132 false _let_50)) _let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_67 tptp.sk_c9 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_127 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_82 _let_59 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_125 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_55 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_124 false _let_50)) _let_190 _let_189 _let_188 _let_187 _let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_114 false _let_50)) _let_185 _let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_82 _let_60 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_110 false _let_50)) _let_183 _let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161))) _let_162 :args (_let_105 false _let_50)) _let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_82 _let_60 _let_60 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_161)) _let_162 :args (_let_100 false _let_50)) _let_180 _let_179 _let_178 _let_177 _let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c10 _let_60 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_84 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_67 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_161)) _let_162 :args (_let_81 false _let_50)) _let_175 _let_174 _let_173 _let_172 _let_167 _let_166 _let_164 _let_160 _let_159 _let_154 :args (false false _let_153 false _let_152 false _let_151 true _let_150 false _let_149 false _let_148 false _let_147 false _let_146 false _let_145 false _let_144 false _let_143 false _let_142 false _let_141 false _let_140 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_132 false _let_130 false _let_127 false _let_125 false _let_124 false _let_123 false _let_120 false _let_118 false _let_116 false _let_115 false _let_114 false _let_112 false _let_111 false _let_110 false _let_108 false _let_106 false _let_105 false _let_103 false _let_100 false _let_97 false _let_95 false _let_93 false _let_91 false _let_87 false _let_84 false _let_81 false _let_79 false _let_75 false _let_72 false _let_70 false _let_69 false _let_66 false _let_63 false _let_58 false _let_56 false _let_53)) :args (_let_52 _let_51 _let_50 _let_49 (or _let_44 _let_22) (or _let_44 _let_19) _let_47 _let_46 (or _let_44 _let_11) (or _let_44 _let_10) (or _let_44 _let_9) (or _let_44 _let_8) _let_45 (or _let_39 _let_22) (or _let_39 _let_19) _let_42 _let_41 (or _let_39 _let_11) (or _let_39 _let_10) (or _let_39 _let_9) (or _let_39 _let_8) _let_40 _let_37 _let_36 _let_35 _let_34 (or _let_32 _let_11) (or _let_32 _let_10) (or _let_32 _let_9) (or _let_32 _let_8) _let_33 _let_30 _let_29 _let_28 _let_27 (or _let_25 _let_11) (or _let_25 _let_10) (or _let_25 _let_9) (or _let_25 _let_8) _let_26 _let_23 _let_20 _let_17 _let_14 (or _let_5 _let_11) (or _let_5 _let_10) (or _let_5 _let_9) (or _let_5 _let_8) _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.34/2.59 )
% 2.34/2.60 % SZS output end Proof for GRP325-1
% 2.34/2.60 % cvc5---1.0.5 exiting
% 2.34/2.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------