TSTP Solution File: GRP337-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP337-1 : 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 00:25:41 EDT 2023

% Result   : Unsatisfiable 1.67s 1.99s
% Output   : Proof 1.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP337-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 28 21:47:41 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vUDQrq6vvE/cvc5---1.0.5_26452.p...
% 0.19/0.49  ------- get file name : TPTP file name is GRP337-1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26452.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.67/1.99  % SZS status Unsatisfiable for GRP337-1
% 1.67/1.99  % SZS output start Proof for GRP337-1
% 1.81/2.05  (
% 1.81/2.05  (let ((_let_1 (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.multiply X4 X5) tptp.sk_c7)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c8) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)))))) (let ((_let_2 (tptp.inverse tptp.sk_c5))) (let ((_let_3 (= _let_2 tptp.sk_c6))) (let ((_let_4 (tptp.multiply tptp.sk_c3 tptp.sk_c8))) (let ((_let_5 (= _let_4 tptp.sk_c7))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (let ((_let_8 (= _let_7 tptp.sk_c7))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.inverse tptp.sk_c8))) (let ((_let_11 (= _let_10 tptp.sk_c6))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.inverse tptp.sk_c4))) (let ((_let_14 (= _let_13 tptp.sk_c8))) (let ((_let_15 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (let ((_let_16 (= _let_15 tptp.sk_c7))) (let ((_let_17 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (let ((_let_18 (= _let_17 tptp.sk_c8))) (let ((_let_19 (or _let_5 _let_18))) (let ((_let_20 (tptp.inverse tptp.sk_c2))) (let ((_let_21 (= _let_20 tptp.sk_c3))) (let ((_let_22 (or _let_21 _let_3))) (let ((_let_23 (or _let_21 _let_8))) (let ((_let_24 (or _let_21 _let_11))) (let ((_let_25 (or _let_21 _let_18))) (let ((_let_26 (tptp.multiply tptp.sk_c2 tptp.sk_c3))) (let ((_let_27 (= _let_26 tptp.sk_c7))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_8))) (let ((_let_30 (or _let_27 _let_11))) (let ((_let_31 (or _let_27 _let_18))) (let ((_let_32 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (let ((_let_33 (= _let_32 tptp.sk_c8))) (let ((_let_34 (or _let_33 _let_3))) (let ((_let_35 (or _let_33 _let_8))) (let ((_let_36 (or _let_33 _let_11))) (let ((_let_37 (or _let_33 _let_18))) (let ((_let_38 (tptp.inverse tptp.sk_c1))) (let ((_let_39 (= _let_38 tptp.sk_c8))) (let ((_let_40 (or _let_39 _let_3))) (let ((_let_41 (or _let_39 _let_8))) (let ((_let_42 (or _let_39 _let_11))) (let ((_let_43 (or _let_39 _let_18))) (let ((_let_44 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (let ((_let_45 (= _let_44 tptp.sk_c6))) (let ((_let_46 (or _let_45 _let_3))) (let ((_let_47 (or _let_45 _let_8))) (let ((_let_48 (or _let_45 _let_11))) (let ((_let_49 (or _let_45 _let_14))) (let ((_let_50 (or _let_45 _let_16))) (let ((_let_51 (or _let_45 _let_18))) (let ((_let_52 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_53 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_55 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_56 (tptp.multiply _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_57 (= tptp.identity _let_56))) (let ((_let_58 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_59 (= tptp.identity (tptp.multiply _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_60 (tptp.multiply tptp.sk_c8 tptp.sk_c8))) (let ((_let_61 (tptp.multiply _let_55 tptp.sk_c8))) (let ((_let_62 (tptp.multiply _let_61 tptp.sk_c8))) (let ((_let_63 (= _let_62 (tptp.multiply _let_55 _let_60)))) (let ((_let_64 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c7))) (let ((_let_65 (tptp.multiply _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_66 (tptp.multiply _let_65 tptp.sk_c7))) (let ((_let_67 (= _let_66 (tptp.multiply _let_55 _let_64)))) (let ((_let_68 (= (tptp.multiply _let_66 tptp.sk_c8) (tptp.multiply _let_65 _let_44)))) (let ((_let_69 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_70 (tptp.multiply _let_65 _let_69))) (let ((_let_71 (= (tptp.multiply _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_70))) (let ((_let_72 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_62))) (let ((_let_73 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_61))) (let ((_let_74 (= (tptp.multiply _let_73 tptp.sk_c8) _let_72))) (let ((_let_75 (= (tptp.multiply _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiply _let_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_76 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_65))) (let ((_let_77 (= (tptp.multiply _let_76 tptp.sk_c7) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_66)))) (let ((_let_78 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55))) (let ((_let_79 (tptp.multiply _let_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_80 (tptp.multiply _let_79 _let_61))) (let ((_let_81 (= _let_80 (tptp.multiply _let_78 _let_73)))) (let ((_let_82 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_83 (= (tptp.multiply _let_82 _let_61) (tptp.multiply tptp.sk_c8 _let_73)))) (let ((_let_84 (= _let_61 (tptp.multiply tptp.identity _let_61)))) (let ((_let_85 (= _let_76 _let_79))) (let ((_let_86 (tptp.multiply _let_65 _let_55))) (let ((_let_87 (tptp.multiply _let_55 _let_78))) (let ((_let_88 (= _let_87 _let_86))) (let ((_let_89 (tptp.multiply _let_69 _let_55))) (let ((_let_90 (tptp.multiply tptp.sk_c7 _let_78))) (let ((_let_91 (= _let_90 _let_89))) (let ((_let_92 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_90))) (let ((_let_93 (tptp.multiply _let_55 _let_92))) (let ((_let_94 (= (tptp.multiply _let_65 _let_90) _let_93))) (let ((_let_95 (= (tptp.multiply _let_70 _let_55) (tptp.multiply _let_65 _let_89)))) (let ((_let_96 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_69))) (let ((_let_97 (= (tptp.multiply _let_96 _let_55) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_89)))) (let ((_let_98 (= _let_55 (tptp.multiply tptp.identity _let_55)))) (let ((_let_99 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_100 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_101 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_100))) (let ((_let_102 (tptp.multiply tptp.identity _let_79))) (let ((_let_103 (= _let_79 _let_102))) (let ((_let_104 (tptp.multiply tptp.sk_c8 _let_78))) (let ((_let_105 (= _let_104 (tptp.multiply _let_82 _let_55)))) (let ((_let_106 (tptp.multiply _let_78 _let_92))) (let ((_let_107 (= _let_106 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_93)))) (let ((_let_108 (= tptp.sk_c6 _let_44))) (let ((_let_109 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_55))) (let ((_let_110 (= (tptp.multiply _let_56 _let_55) (tptp.multiply _let_55 _let_109)))) (let ((_let_111 (= tptp.sk_c6 _let_10))) (let ((_let_112 (= tptp.sk_c8 _let_17))) (let ((_let_113 (= tptp.sk_c8 _let_58))) (let ((_let_114 (= tptp.sk_c8 _let_64))) (let ((_let_115 (= tptp.sk_c7 _let_109))) (let ((_let_116 (= tptp.sk_c7 _let_61))) (let ((_let_117 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.inverse X)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_57 false _let_117)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_59 false _let_117)))) (let ((_let_123 (_let_52))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_63 false _let_52)))) (let ((_let_127 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_67 false _let_52)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_65 tptp.sk_c7 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_68 false _let_52)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_65 tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_71 false _let_52)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_61 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_74 false _let_52)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_75 false _let_52)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_65 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_77 false _let_52)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_61 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_81 false _let_52)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_61 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_83 false _let_52)))) (let ((_let_136 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_54)) (MACRO_SR_EQ_INTRO :args (_let_54 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_136))) (let ((_let_139 ((tptp.multiply tptp.identity X)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_84 false _let_136)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123))) _let_124 :args (_let_85 false _let_52)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_88 false _let_52)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_91 false _let_52)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_90 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_94 false _let_52)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_65 _let_69 _let_55 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_95 false _let_52)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_69 _let_55 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_97 false _let_52)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_98 false _let_136)))) (let ((_let_148 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST _let_148 _let_137 :args (_let_99 false _let_136)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_101 false _let_136)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_103 false _let_136)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_105 false _let_52)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 _let_92 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_107 false _let_52)))) (let ((_let_154 (= tptp.sk_c7 _let_15))) (let ((_let_155 (= tptp.sk_c8 _let_13))) (let ((_let_156 (= tptp.sk_c7 _let_7))) (let ((_let_157 (= tptp.sk_c6 _let_2))) (let ((_let_158 (not _let_157))) (let ((_let_159 (not _let_156))) (let ((_let_160 (or _let_159 _let_158))) (let ((_let_161 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))))))) (let ((_let_162 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_163 (= tptp.sk_c6 _let_162))) (let ((_let_164 (not _let_163))) (let ((_let_165 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6))) (let ((_let_166 (= tptp.sk_c7 _let_165))) (let ((_let_167 (not _let_166))) (let ((_let_168 (or _let_167 _let_164))) (let ((_let_169 (= tptp.identity (tptp.multiply _let_10 tptp.sk_c8)))) (let ((_let_170 (= tptp.identity (tptp.multiply _let_162 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_171 (tptp.multiply tptp.sk_c6 tptp.sk_c8))) (let ((_let_172 (= (tptp.multiply _let_165 tptp.sk_c8) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_171)))) (let ((_let_173 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (let ((_let_174 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_173))) (let ((_let_175 (tptp.multiply _let_165 tptp.sk_c6))) (let ((_let_176 (= _let_175 _let_174))) (let ((_let_177 (tptp.multiply _let_173 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_let_191 _let_199 _let_200 _let_196 _let_205 _let_181 _let_194)))) :args (_let_112 _let_154 _let_155 _let_111 _let_276 _let_166 _let_163 _let_169 _let_170 _let_172 _let_176 _let_178 _let_181 _let_184 _let_185 _let_187 _let_189 _let_191 _let_99 _let_192 _let_193 _let_194 _let_195 _let_196 _let_197 _let_199 _let_200 _let_202 _let_203 _let_204 _let_205 _let_208 _let_209)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_279)))) (TRUE_INTRO (ASSUME :args (_let_278))))) :args (_let_279 _let_278)) :args ((not (and _let_112 _let_154 _let_155 _let_111 _let_276 _let_166 _let_163 _let_169 _let_170 _let_172 _let_176 _let_178 _let_181 _let_184 _let_185 _let_187 _let_189 _let_191 _let_99 _let_192 _let_193 _let_194 _let_195 _let_196 _let_197 _let_199 _let_200 _let_202 _let_203 _let_204 _let_205 _let_208 _let_209)) SB_LITERAL))) (CONG (REFL :args (_let_273)) (REFL :args (_let_271)) (REFL :args (_let_270)) (REFL :args _let_277) (MACRO_SR_PRED_INTRO :args ((= (not _let_276) _let_108))) (REFL :args (_let_167)) (REFL :args (_let_164)) _let_275 (REFL :args (_let_268)) (REFL :args (_let_267)) (REFL :args (_let_266)) (REFL :args (_let_265)) (REFL :args (_let_264)) (REFL :args (_let_263)) (REFL :args (_let_262)) (REFL :args (_let_261)) (REFL :args (_let_260)) (REFL :args (_let_259)) _let_274 (REFL :args (_let_257)) (REFL :args (_let_256)) (REFL :args (_let_255)) (REFL :args (_let_254)) (REFL :args (_let_253)) (REFL :args (_let_252)) (REFL :args (_let_251)) (REFL :args (_let_250)) (REFL :args (_let_249)) (REFL :args (_let_248)) (REFL :args (_let_247)) (REFL :args (_let_246)) (REFL :args (_let_245)) (REFL :args (_let_244)) :args _let_216)) :args ((or _let_108 _let_273 _let_272 _let_271 _let_270 _let_167 _let_164 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_206 _let_173 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_209 false _let_52)) _let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 _let_174 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_205 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 _let_182 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_204 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_173 tptp.sk_c4 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_203 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_173 tptp.sk_c8 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_202 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_182 tptp.sk_c6 _let_171 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_200 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_182 tptp.sk_c6 _let_173 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_199 false _let_52)) (MACRO_RESOLUTION_TRUST _let_241 _let_124 :args (_let_197 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_182 _let_173 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_196 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_186 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_195 false _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_179 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_194 false _let_136)) _let_240 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_192 false _let_136)) _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 tptp.sk_c6 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_191 false _let_52)) _let_238 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 tptp.sk_c6 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_187 false _let_52)) _let_237 _let_235 _let_233 _let_232 _let_230 _let_228 _let_226 _let_224 _let_222 _let_221 _let_219 _let_215 _let_211 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) :args (_let_108 false _let_209 false _let_208 false _let_205 false _let_204 false _let_203 false _let_202 false _let_200 false _let_199 false _let_197 false _let_196 false _let_195 false _let_194 false _let_193 false _let_192 false _let_99 false _let_191 false _let_189 false _let_187 false _let_185 false _let_184 false _let_181 false _let_178 false _let_176 false _let_172 false _let_170 false _let_169 false _let_163 false _let_166 true _let_168 true _let_161 true _let_160 false _let_157 false _let_156 false _let_111 false _let_155 false _let_154 false _let_112)))) (let ((_let_401 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_55 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_110 false _let_52)))) (let ((_let_402 (= tptp.sk_c8 _let_38))) (let ((_let_403 (= tptp.sk_c8 _let_32))) (let ((_let_404 (= tptp.sk_c7 _let_26))) (let ((_let_405 (= tptp.sk_c3 _let_20))) (let ((_let_406 (= tptp.sk_c7 _let_4))) (let ((_let_407 (not _let_403))) (let ((_let_408 (not _let_402))) (let ((_let_409 (or _let_408 _let_407))) (let ((_let_410 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 _let_20)))) (let ((_let_411 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.inverse X3))) (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c7))))))) (let ((_let_412 (not _let_114))) (let ((_let_413 (not _let_113))) (let ((_let_414 (or _let_413 _let_412))) (let ((_let_415 (= tptp.sk_c7 (tptp.multiply _let_20 tptp.sk_c8)))) (let ((_let_416 (not _let_415))) (let ((_let_417 (not _let_410))) (let ((_let_418 (or _let_417 _let_416))) (let ((_let_419 (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.inverse X4))) (or (not (= tptp.sk_c7 (tptp.multiply X4 _let_1))) (not (= tptp.sk_c7 (tptp.multiply _let_1 tptp.sk_c8)))))))) (let ((_let_420 (not _let_116))) (let ((_let_421 (not _let_115))) (let ((_let_422 (or _let_421 _let_420))) (let ((_let_423 (tptp.multiply _let_61 tptp.sk_c6))) (let ((_let_424 (= _let_423 (tptp.multiply _let_55 _let_201)))) (let ((_let_425 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_423))) (let ((_let_426 (= (tptp.multiply _let_73 tptp.sk_c6) _let_425))) (let ((_let_427 (tptp.multiply _let_79 _let_423))) (let ((_let_428 (= (tptp.multiply _let_80 tptp.sk_c6) _let_427))) (let ((_let_429 (tptp.multiply _let_69 _let_65))) (let ((_let_430 (= _let_429 (tptp.multiply tptp.sk_c7 _let_76)))) (let ((_let_431 (tptp.multiply _let_65 _let_65))) (let ((_let_432 (= _let_431 (tptp.multiply _let_55 _let_76)))) (let ((_let_433 (= _let_70 (tptp.multiply _let_55 _let_96)))) (let ((_let_434 (= _let_429 (tptp.multiply _let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_435 (tptp.multiply _let_86 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_436 (= _let_431 _let_435))) (let ((_let_437 (= (tptp.multiply _let_76 _let_69) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_70)))) (let ((_let_438 (= (tptp.multiply _let_431 _let_69) (tptp.multiply _let_65 _let_70)))) (let ((_let_439 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_79))) (let ((_let_440 (= (tptp.multiply _let_65 _let_79) (tptp.multiply _let_55 _let_439)))) (let ((_let_441 (tptp.multiply _let_86 _let_96))) (let ((_let_442 (= (tptp.multiply _let_435 _let_69) _let_441))) (let ((_let_443 (= (tptp.multiply _let_79 _let_69) (tptp.multiply _let_78 _let_96)))) (let ((_let_444 (tptp.multiply _let_55 _let_79))) (let ((_let_445 (= (tptp.multiply _let_78 _let_79) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_444)))) (let ((_let_446 (= (tptp.multiply _let_79 _let_62) (tptp.multiply _let_78 _let_72)))) (let ((_let_447 (= (tptp.multiply _let_444 _let_423) (tptp.multiply _let_55 _let_427)))) (let ((_let_448 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_449 (tptp.multiply _let_448 _let_65))) (let ((_let_450 (= _let_449 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_76)))) (let ((_let_451 (= (tptp.multiply (tptp.multiply _let_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_65) (tptp.multiply _let_87 _let_76)))) (let ((_let_452 (tptp.multiply _let_82 _let_65))) (let ((_let_453 (= _let_452 (tptp.multiply tptp.sk_c8 _let_76)))) (let ((_let_454 (tptp.multiply _let_79 _let_65))) (let ((_let_455 (= _let_454 (tptp.multiply _let_78 _let_76)))) (let ((_let_456 (= _let_65 (tptp.multiply tptp.identity _let_65)))) (let ((_let_457 (tptp.multiply _let_55 _let_448))) (let ((_let_458 (tptp.multiply _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_459 (= _let_458 _let_457))) (let ((_let_460 (tptp.multiply _let_86 _let_425))) (let ((_let_461 (= (tptp.multiply _let_435 _let_423) _let_460))) (let ((_let_462 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_78))) (let ((_let_463 (= _let_439 (tptp.multiply _let_462 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_464 (tptp.multiply _let_448 _let_55))) (let ((_let_465 (tptp.multiply _let_464 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_466 (= _let_449 _let_465))) (let ((_let_467 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_86))) (let ((_let_468 (= (tptp.multiply _let_467 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_435)))) (let ((_let_469 (tptp.multiply tptp.identity _let_78))) (let ((_let_470 (= _let_78 _let_469))) (let ((_let_471 (= _let_431 (tptp.multiply tptp.identity _let_431)))) (let ((_let_472 (= (tptp.multiply _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_55 (tptp.multiply _let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_473 (= (tptp.multiply _let_65 _let_78) (tptp.multiply _let_458 _let_55)))) (let ((_let_474 (= _let_462 _let_464))) (let ((_let_475 (tptp.multiply _let_55 _let_464))) (let ((_let_476 (= (tptp.multiply _let_475 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_55 _let_465)))) (let ((_let_477 (= (tptp.multiply _let_82 _let_431) (tptp.multiply _let_452 _let_65)))) (let ((_let_478 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_79) _let_65) (tptp.multiply tptp.sk_c8 _let_454)))) (let ((_let_479 (= (tptp.multiply _let_104 _let_92) (tptp.multiply tptp.sk_c8 _let_106)))) (let ((_let_480 (= (tptp.multiply _let_104 _let_448) (tptp.multiply tptp.sk_c8 (tptp.multiply _let_78 _let_448))))) (let ((_let_481 (= _let_475 (tptp.multiply _let_457 _let_55)))) (let ((_let_482 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c6))) (let ((_let_483 (= (tptp.multiply _let_448 tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_482)))) (let ((_let_484 (= (tptp.multiply _let_458 tptp.sk_c6) (tptp.multiply _let_65 _let_482)))) (let ((_let_485 (tptp.multiply _let_65 tptp.sk_c6))) (let ((_let_486 (= (tptp.multiply _let_76 tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_485)))) (let ((_let_487 (tptp.multiply _let_55 tptp.identity))) (let ((_let_488 (= (tptp.multiply _let_487 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_55 _let_100)))) (let ((_let_489 (= (tptp.multiply (tptp.multiply _let_10 _let_86) _let_425) (tptp.multiply _let_10 _let_460)))) (let ((_let_490 (= (tptp.multiply _let_467 _let_96) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_441)))) (let ((_let_491 (= (tptp.multiply (tptp.multiply _let_87 tptp.identity) _let_79) (tptp.multiply _let_87 _let_102)))) (let ((_let_492 (= (tptp.multiply (tptp.multiply _let_86 tptp.identity) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_86 _let_100)))) (let ((_let_493 (= (tptp.multiply (tptp.multiply _let_78 tptp.identity) _let_79) (tptp.multiply _let_78 _let_102)))) (let ((_let_494 (= (tptp.multiply _let_487 _let_79) (tptp.multiply _let_55 _let_102)))) (let ((_let_495 (= (tptp.multiply (tptp.multiply _let_467 tptp.identity) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_467 _let_100)))) (let ((_let_496 (not _let_409))) (let ((_let_497 (REORDERING (CNF_OR_POS :args (_let_409)) :args ((or _let_408 _let_407 _let_496))))) (let ((_let_498 (not _let_405))) (let ((_let_499 (not _let_404))) (let ((_let_500 (and _let_405 _let_417))) (let ((_let_501 (ASSUME :args (_let_417)))) (let ((_let_502 (ASSUME :args (_let_405)))) (let ((_let_503 (SYMM (SYMM _let_502)))) (let ((_let_504 (REFL :args (tptp.sk_c7)))) (let ((_let_505 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_500)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_501 _let_502) (SCOPE (FALSE_ELIM (TRANS (CONG _let_504 (CONG (REFL :args (tptp.sk_c2)) _let_503 :args _let_284) :args _let_387) (FALSE_INTRO _let_501))) :args (_let_417 _let_405))) :args (_let_405 _let_417))) :args (true _let_500)) (CONG (REFL :args (_let_498)) (MACRO_SR_PRED_INTRO :args ((= (not _let_417) _let_410))) (REFL :args (_let_499)) :args _let_216)) :args ((or _let_499 _let_498 _let_410))))) (let ((_let_506 (_let_411))) (let ((_let_507 ((tptp.multiply X3 tptp.sk_c7)))) (let ((_let_508 (ASSUME :args _let_506))) (let ((_let_509 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_508 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_507)) :args _let_506)))) (let ((_let_510 (not _let_414))) (let ((_let_511 (not _let_411))) (let ((_let_512 (_let_511))) (let ((_let_513 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_512)) :args _let_512)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_511) _let_411))) (REFL :args (_let_510)) :args _let_216)))) (let ((_let_514 (REFL :args (_let_414)))) (let ((_let_515 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_414 0)) (CONG _let_514 (MACRO_SR_PRED_INTRO :args ((= (not _let_413) _let_113))) :args _let_216)) :args ((or _let_113 _let_414))))) (let ((_let_516 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_414 1)) (CONG _let_514 (MACRO_SR_PRED_INTRO :args ((= (not _let_412) _let_114))) :args _let_216)) :args ((or _let_114 _let_414))))) (let ((_let_517 (and _let_405 _let_406))) (let ((_let_518 (_let_405 _let_406))) (let ((_let_519 (ASSUME :args (_let_406)))) (let ((_let_520 (SYMM (SYMM _let_519)))) (let ((_let_521 (RESOLUTION (CNF_AND_NEG :args (_let_517)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_502 _let_519) (SCOPE (TRANS _let_520 (CONG _let_503 _let_290 :args _let_284)) :args _let_518)) :args _let_518)) :args (true _let_517)))) (let ((_let_522 (not _let_418))) (let ((_let_523 (REORDERING (CNF_OR_POS :args (_let_418)) :args ((or _let_417 _let_416 _let_522))))) (let ((_let_524 (_let_419))) (let ((_let_525 ((tptp.inverse X4)))) (let ((_let_526 (ASSUME :args _let_524))) (let ((_let_527 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_526 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_524)))) (let ((_let_528 (not _let_422))) (let ((_let_529 (not _let_419))) (let ((_let_530 (_let_529))) (let ((_let_531 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_530)) :args _let_530)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_529) _let_419))) (REFL :args (_let_528)) :args _let_216)))) (let ((_let_532 (_let_422))) (let ((_let_533 (REFL :args _let_532))) (let ((_let_534 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_422 0)) (CONG _let_533 (MACRO_SR_PRED_INTRO :args ((= (not _let_421) _let_115))) :args _let_216)) :args ((or _let_115 _let_422))))) (let ((_let_535 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_422 1)) (CONG _let_533 (MACRO_SR_PRED_INTRO :args ((= (not _let_420) _let_116))) :args _let_216)) :args ((or _let_116 _let_422))))) (let ((_let_536 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 tptp.sk_c8 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_424 false _let_52)))) (let ((_let_537 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(= tptp.sk_c7 (tptp.multiply tptp.sk_c5 _let_2)))) (let ((_let_981 (not _let_980))) (let ((_let_982 (or _let_981 _let_979))) (let ((_let_983 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_182) tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_198)))) (let ((_let_984 (not _let_982))) (let ((_let_985 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_156 _let_404))))) (let ((_let_986 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_157 _let_404))))) (let ((_let_987 (and _let_156 _let_157))) (let ((_let_988 (ASSUME :args (_let_157)))) (let ((_let_989 (SYMM _let_988))) (let ((_let_990 (SYMM _let_989))) (let ((_let_991 (ASSUME :args (_let_156)))) (let ((_let_992 (RESOLUTION (CNF_AND_NEG :args (_let_987)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_988 _let_991) (SCOPE (TRANS (SYMM (SYMM 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_let_1002 _let_348 _let_1000 _let_999 _let_998 _let_326) :args _let_284))) (let ((_let_1004 (SYMM _let_398))) (let ((_let_1005 (CONG _let_295 _let_290 :args _let_284))) (let ((_let_1006 (TRANS _let_660 _let_1005 _let_1004 _let_1003 _let_301 _let_297 _let_283))) (let ((_let_1007 (SYMM _let_1005))) (let ((_let_1008 (CONG _let_995 _let_290 :args _let_284))) (let ((_let_1009 (SYMM _let_289))) (let ((_let_1010 (SYMM _let_996))) (let ((_let_1011 (CONG _let_309 _let_1010 :args _let_284))) (let ((_let_1012 (SYMM _let_1011))) (let ((_let_1013 (ASSUME :args (_let_983)))) (let ((_let_1014 (SYMM (SYMM _let_1013)))) (let ((_let_1015 (SYMM _let_997))) (let ((_let_1016 (RESOLUTION (CNF_AND_NEG :args (_let_994)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_988 _let_282 _let_295 _let_291 _let_300 _let_325 _let_329 _let_333 _let_304 _let_397 _let_658 _let_288 _let_1013 _let_285) (SCOPE (TRANS _let_295 (CONG _let_309 (TRANS _let_786 (CONG _let_1015 _let_287 :args _let_284)) :args _let_284) (SYMM _let_1014) (CONG (TRANS _let_1012 (TRANS _let_1011 (CONG _let_309 (TRANS _let_996 _let_336 _let_332 _let_1009 _let_1008) :args _let_284) _let_398 _let_1007 _let_659)) _let_287 :args _let_284) (CONG _let_990 _let_1006 :args _let_284)) :args (_let_157 _let_112 _let_166 _let_111 _let_176 _let_185 _let_170 _let_163 _let_184 _let_172 _let_108 _let_169 _let_983 _let_99))) :args (_let_108 _let_112 _let_111 _let_157 _let_166 _let_163 _let_169 _let_170 _let_172 _let_176 _let_184 _let_185 _let_99 _let_983))) :args (true _let_994)))) (let ((_let_1017 (REORDERING (CNF_OR_POS :args (_let_982)) :args ((or _let_981 _let_979 _let_984))))) (let ((_let_1018 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_156 _let_405))))) (let ((_let_1019 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_156 _let_406))))) (let ((_let_1020 (and _let_108 _let_112 _let_111 _let_405 _let_406 _let_166 _let_163 _let_169 _let_170 _let_172 _let_176 _let_184 _let_185))) (let ((_let_1021 (CONG _let_302 _let_1001 :args _let_284))) (let ((_let_1022 (CONG _let_309 (TRANS _let_336 _let_330 _let_1009 _let_1021 _let_305 (CONG (TRANS (CONG _let_292 _let_309 :args _let_284) _let_336 _let_330) _let_308 :args _let_284) _let_326) :args _let_284))) (let ((_let_1023 (SYMM _let_336))) (let ((_let_1024 (CONG _let_309 (TRANS _let_1002 (CONG _let_291 _let_301 :args _let_284) _let_1000 (SYMM _let_1021) _let_289 _let_329 _let_1023) :args _let_284))) (let ((_let_1025 (REFL :args (tptp.sk_c3)))) (let ((_let_1026 (RESOLUTION (CNF_AND_NEG :args (_let_1020)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_502 _let_282 _let_295 _let_300 _let_325 _let_329 _let_333 _let_291 _let_304 _let_288 _let_397 _let_658 _let_519) (SCOPE (TRANS _let_520 (CONG _let_1025 _let_1001 :args _let_284) (CONG _let_1025 _let_301 :args _let_284) (CONG _let_1025 (TRANS _let_300 (SYMM _let_1022) (SYMM _let_1024) _let_398 _let_1007 _let_659) :args _let_284) (CONG _let_503 (TRANS _let_660 _let_1005 _let_1004 _let_1024 _let_1022 _let_301 _let_297 _let_283) :args _let_284)) :args (_let_405 _let_112 _let_166 _let_176 _let_185 _let_170 _let_163 _let_111 _let_184 _let_169 _let_172 _let_108 _let_406))) :args (_let_108 _let_112 _let_111 _let_405 _let_406 _let_166 _let_163 _let_169 _let_170 _let_172 _let_176 _let_184 _let_185))) :args (true _let_1020)))) (let ((_let_1027 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_157 _let_405))))) (let ((_let_1028 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_157 _let_406))))) (let ((_let_1029 (= tptp.sk_c8 _let_10))) (let ((_let_1030 (= (tptp.multiply _let_175 tptp.sk_c6) (tptp.multiply _let_165 _let_173)))) (let ((_let_1031 (= (tptp.multiply _let_175 tptp.sk_c8) (tptp.multiply _let_165 _let_171)))) (let ((_let_1032 (= tptp.sk_c7 _let_60))) (let ((_let_1033 (not _let_1029))) (let ((_let_1034 (not _let_1032))) (let ((_let_1035 (or _let_1034 _let_1033))) (let ((_let_1036 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) (let ((_let_1037 (= tptp.sk_c7 _let_201))) (let ((_let_1038 (not _let_1037))) (let ((_let_1039 (or _let_1038 _let_272))) (let ((_let_1040 (= (tptp.multiply _let_109 tptp.sk_c8) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_61)))) (let ((_let_1041 (= tptp.sk_c8 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7)))) (let ((_let_1042 (tptp.multiply _let_55 _let_174))) (let ((_let_1043 (= (tptp.multiply (tptp.multiply _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_173) _let_1042))) (let ((_let_1044 (= tptp.sk_c8 _let_55))) (let ((_let_1045 (not _let_1041))) (let ((_let_1046 (not _let_1044))) (let ((_let_1047 (or _let_1046 _let_1045))) (let ((_let_1048 (and _let_108 _let_112 _let_111 _let_166 _let_163 _let_169 _let_170 _let_172 _let_176 _let_184 _let_185))) (let ((_let_1049 (TRANS _let_301 _let_297 _let_283))) (let ((_let_1050 (CONG _let_287 _let_1049 :args _let_284))) (let ((_let_1051 (CONG _let_292 _let_300 :args _let_284))) (let ((_let_1052 (SYMM _let_1049))) (let ((_let_1053 (CONG _let_302 _let_1052 :args _let_284))) (let ((_let_1054 (SYMM _let_1053))) (let ((_let_1055 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_165 tptp.sk_c6 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)))) (let ((_let_1056 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_165 tptp.sk_c6 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)))) (let ((_let_1057 (and _let_112 _let_111 _let_166 _let_163 _let_169 _let_170 _let_176 _let_178 _let_184 _let_185 _let_99 _let_193 _let_1031 _let_197 _let_1030))) (let ((_let_1058 (CONG _let_290 _let_1049 :args _let_284))) (let ((_let_1059 (TRANS _let_300 _let_1049))) (let ((_let_1060 (ASSUME :args (_let_1031)))) (let ((_let_1061 (SYMM _let_1060))) (let ((_let_1062 (TRANS _let_331 (CONG (SYMM _let_335) _let_309 :args _let_284) _let_390))) (let ((_let_1063 (ASSUME :args (_let_1030)))) (let ((_let_1064 (SYMM _let_1063))) (let ((_let_1065 (CONG _let_301 _let_287 :args _let_284))) (let ((_let_1066 (_let_1036))) (let ((_let_1067 (and _let_112 _let_111 _let_166 _let_163 _let_169 _let_170 _let_176 _let_178 _let_184 _let_99 _let_193 _let_208))) (let ((_let_1068 (MACRO_RESOLUTION_TRUST _let_1056 _let_124 :args (_let_1031 false _let_52)))) (let ((_let_1069 (MACRO_RESOLUTION_TRUST _let_1055 _let_124 :args (_let_1030 false _let_52)))) (let ((_let_1070 (and _let_108 _let_112 _let_111 _let_166 _let_163 _let_115 _let_116 _let_169 _let_170 _let_172 _let_176 _let_178 _let_181 _let_184 _let_185 _let_99 _let_193 _let_1031 _let_1030 _let_983 _let_208 _let_1040))) (let ((_let_1071 (ASSUME :args (_let_1040)))) (let ((_let_1072 (CONG _let_309 (TRANS _let_369 (CONG (TRANS _let_1015 _let_996) _let_317 :args _let_284) _let_316 (CONG (TRANS (CONG _let_1010 _let_308 :args _let_284) (TRANS _let_306 (SYMM _let_1000) (SYMM _let_348) (SYMM _let_1002) _let_294 _let_289)) _let_287 :args _let_284) _let_286) :args _let_284))) (let ((_let_1073 (CONG _let_295 _let_308 :args _let_284))) (let ((_let_1074 (CONG _let_504 (TRANS _let_288 _let_375 _let_1002 _let_348 _let_1000 _let_999 _let_998 _let_326) :args _let_284))) (let ((_let_1075 (CONG _let_296 _let_818 :args _let_284))) (let ((_let_1076 (REFL :args (_let_165)))) (let ((_let_1077 (CONG _let_1076 (TRANS _let_294 _let_289) :args _let_284))) (let ((_let_1078 (SYMM _let_1061))) (let ((_let_1079 (CONG _let_301 _let_290 :args _let_284))) (let ((_let_1080 (SYMM _let_1079))) (let ((_let_1081 (SYMM _let_1077))) (let ((_let_1082 (SYMM _let_1075))) (let ((_let_1083 (SYMM _let_1073))) (let ((_let_1084 (SYMM _let_373))) (let ((_let_1085 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_173 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1043 false _let_52)))) (let ((_let_1086 (and _let_108 _let_112 _let_111 _let_166 _let_163 _let_115 _let_116 _let_169 _let_170 _let_57 _let_63 _let_172 _let_176 _let_178 _let_181 _let_1043 _let_184 _let_98 _let_185 _let_99 _let_193 _let_1031 _let_1030 _let_983 _let_208 _let_110))) (let ((_let_1087 (TRANS _let_331 _let_393 _let_310))) (let ((_let_1088 (CONG _let_309 (TRANS _let_369 (CONG (TRANS _let_1087 _let_318) _let_317 :args _let_284) _let_316 (CONG (TRANS _let_311 (TRANS _let_306 _let_303 _let_1051 _let_1050 _let_294 _let_289)) _let_287 :args _let_284) _let_286) :args _let_284))) (let ((_let_1089 (SYMM _let_1087))) (let ((_let_1090 (CONG _let_1089 _let_308 :args _let_284))) (let ((_let_1091 (SYMM _let_1051))) (let ((_let_1092 (SYMM _let_1050))) (let ((_let_1093 (CONG _let_504 (TRANS _let_288 _let_375 _let_1092 _let_1091 _let_339 _let_305 _let_1090 _let_326) :args _let_284))) (let ((_let_1094 (TRANS _let_1052 _let_301))) (let ((_let_1095 (CONG _let_309 (TRANS _let_1092 _let_1091 _let_339 _let_305 _let_1090 _let_326) :args _let_284))) (let ((_let_1096 (CONG _let_674 _let_1049 :args _let_284))) (let ((_let_1097 (ASSUME :args (_let_1043)))) (let ((_let_1098 (SYMM _let_1097))) (let ((_let_1099 (SYMM _let_1098))) (let ((_let_1100 (SYMM _let_1096))) (let ((_let_1101 (CONG _let_309 _let_310 :args _let_284))) (let ((_let_1102 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_508 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_507)) :args _let_506)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_276 _let_273 _let_272 _let_411 _let_1036 _let_161 _let_419))) _let_400 (REORDERING (CNF_OR_POS :args (_let_1047)) :args ((or _let_1046 _let_1045 (not _let_1047)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_526 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_524)) (RESOLUTION (CNF_AND_NEG :args (_let_1086)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_687 _let_744 _let_747 _let_720 _let_295 _let_285 _let_288 _let_291 _let_282 _let_300 _let_304 _let_314 _let_333 _let_329 _let_367 _let_370 _let_1063 _let_325 _let_1060 _let_351 _let_683 _let_1097 _let_678 _let_1013 _let_397 _let_658) (SCOPE (TRANS _let_282 _let_399 _let_300 (SYMM _let_1095) _let_398 _let_1007 _let_659 _let_285 (CONG (TRANS (TRANS _let_288 _let_375 _let_1092 _let_1091 _let_339 _let_305 _let_1090 _let_326 (CONG (TRANS (TRANS _let_660 _let_1005 _let_1004 (CONG _let_309 (TRANS _let_294 _let_289 _let_331 _let_393 _let_310) :args _let_284) (SYMM _let_1101)) _let_1101) _let_287 :args _let_284) _let_1014 (CONG _let_309 (TRANS (CONG _let_1089 _let_287 :args _let_284) _let_286) :args _let_284) (SYMM _let_1088) _let_371 _let_1084 _let_1063 _let_1083 (SYMM _let_1093) _let_1082 _let_1081 _let_1061 _let_1080 _let_351) (TRANS _let_352 _let_1079 _let_1078 _let_1077 _let_1075 _let_1093 _let_1073 _let_1064 _let_373 _let_372 _let_1088 _let_296 _let_680 _let_1100 _let_1098) (TRANS _let_1099 _let_1096)) (TRANS _let_660 _let_1005 _let_1004 _let_1095 _let_301 _let_297 _let_283) :args _let_284) _let_685 (CONG _let_674 (TRANS (CONG _let_290 _let_1052 :args _let_284) (CONG _let_1094 _let_1049 :args _let_284) _let_1080 _let_351) :args _let_284) (CONG _let_674 (TRANS _let_352 _let_1079 _let_1078 _let_1077 _let_1075 _let_1093 _let_1073 _let_1064 _let_373 _let_372 _let_1088 _let_296 _let_722) :args _let_284) _let_748 _let_746 _let_688) :args (_let_98 _let_57 _let_110 _let_115 _let_166 _let_99 _let_169 _let_111 _let_112 _let_176 _let_184 _let_208 _let_163 _let_170 _let_193 _let_178 _let_1030 _let_185 _let_1031 _let_181 _let_63 _let_1043 _let_116 _let_983 _let_172 _let_108))) :args (_let_108 _let_112 _let_111 _let_166 _let_163 _let_115 _let_116 _let_169 _let_170 _let_57 _let_63 _let_172 _let_176 _let_178 _let_181 _let_1043 _let_184 _let_98 _let_185 _let_99 _let_193 _let_1031 _let_1030 _let_983 _let_208 _let_110))) :args (true _let_1086)) _let_401 _let_400 _let_243 _let_993 _let_1069 _let_1068 _let_240 _let_149 _let_237 _let_147 _let_235 _let_1085 _let_233 _let_232 _let_230 _let_228 _let_126 _let_121 _let_226 _let_224 (RESOLUTION (CNF_AND_NEG :args (_let_1070)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_678 _let_1071 _let_720 _let_295 _let_285 _let_288 _let_291 _let_282 _let_300 _let_304 _let_314 _let_333 _let_329 _let_367 _let_370 _let_1063 _let_325 _let_1060 _let_351 _let_1013 _let_397 _let_658) (SCOPE (TRANS _let_282 _let_399 _let_300 (SYMM _let_1003) _let_398 _let_1007 _let_659 _let_285 (CONG (TRANS (TRANS _let_288 _let_375 _let_1002 _let_348 _let_1000 _let_999 _let_998 _let_326 (CONG (TRANS (TRANS _let_660 _let_1005 _let_1004 (CONG _let_309 (TRANS _let_294 _let_289 _let_331 _let_1023 _let_1010) :args _let_284) _let_1012) _let_1011) _let_287 :args _let_284) _let_1014 (CONG _let_309 (TRANS (CONG _let_997 _let_287 :args _let_284) _let_286) :args _let_284) (SYMM _let_1072) _let_371 _let_1084 _let_1063 _let_1083 (SYMM _let_1074) _let_1082 _let_1081 _let_1061 _let_1080 _let_351) (TRANS _let_352 _let_1079 _let_1078 _let_1077 _let_1075 _let_1074 _let_1073 _let_1064 _let_373 _let_372 _let_1072 _let_296 _let_722)) _let_1006 :args _let_284) (SYMM (SYMM _let_1071)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_679 :args _let_284)) :args (_let_116 _let_1040 _let_115 _let_166 _let_99 _let_169 _let_111 _let_112 _let_176 _let_184 _let_208 _let_163 _let_170 _let_193 _let_178 _let_1030 _let_185 _let_1031 _let_181 _let_983 _let_172 _let_108))) :args (_let_108 _let_112 _let_111 _let_166 _let_163 _let_115 _let_116 _let_169 _let_170 _let_172 _let_176 _let_178 _let_181 _let_184 _let_185 _let_99 _let_193 _let_1031 _let_1030 _let_983 _let_208 _let_1040))) :args (true _let_1070)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_55 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_1040 false _let_52)) _let_400 _let_243 _let_993 _let_1069 _let_1068 _let_240 _let_149 _let_237 _let_235 _let_233 _let_232 _let_230 _let_228 _let_226 _let_224 (REORDERING (CNF_OR_POS :args _let_532) :args ((or _let_421 _let_420 _let_528))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_213)) :args _let_212)) (REORDERING (CNF_OR_POS :args (_let_1039)) :args ((or _let_272 _let_1038 (not _let_1039)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1067)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_282 _let_295 _let_291 _let_300 _let_370 _let_367 _let_329 _let_333 _let_314 _let_304 _let_288 _let_285) (SCOPE (TRANS _let_295 (CONG _let_309 (TRANS _let_786 (CONG (TRANS (TRANS _let_1009 _let_1008 (CONG _let_287 _let_1052 :args _let_284) _let_348 _let_1000 _let_999) (CONG _let_996 _let_308 :args _let_284)) _let_287 :args _let_284) (SYMM _let_316) (CONG (TRANS _let_1010 _let_997) _let_317 :args _let_284) (SYMM _let_369)) :args _let_284) (SYMM _let_372) _let_1065 (CONG _let_1059 _let_287 :args _let_284)) :args (_let_112 _let_166 _let_111 _let_176 _let_178 _let_193 _let_170 _let_163 _let_208 _let_184 _let_169 _let_99))) :args (_let_112 _let_111 _let_166 _let_163 _let_169 _let_170 _let_176 _let_178 _let_184 _let_99 _let_193 _let_208))) :args (true _let_1067)) :args ((or _let_273 _let_272 _let_167 _let_164 _let_269 _let_268 _let_266 _let_265 _let_263 _let_258 _let_1037 _let_256 _let_245))) _let_242 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1066) :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X1)))) :args _let_1066)) (REORDERING (CNF_OR_POS :args (_let_1035)) :args ((or _let_1034 _let_1033 (not _let_1035)))) (RESOLUTION (CNF_AND_NEG :args (_let_1057)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_282 _let_295 _let_300 _let_1060 _let_291 _let_288 _let_304 _let_333 _let_329 _let_325 _let_1063 _let_370 _let_367 _let_378 _let_285) (SCOPE (TRANS _let_295 (CONG _let_309 (TRANS _let_786 (CONG (TRANS _let_1009 _let_1053 _let_305) _let_287 :args _let_284) (SYMM _let_379) (CONG (SYMM _let_1062) _let_317 :args _let_284) _let_368) :args _let_284) _let_371 _let_1065 (SYMM _let_1064) (CONG _let_296 _let_308 :args _let_284) (CONG _let_504 (TRANS _let_327 (CONG _let_1062 _let_308 :args _let_284) _let_306 _let_1054 _let_289) :args _let_284) (CONG _let_295 (TRANS _let_1009 _let_1053 _let_303 _let_1051 _let_1050) :args _let_284) _let_1061 (CONG _let_1059 _let_1052 :args _let_284) _let_1058) :args (_let_112 _let_166 _let_176 _let_1031 _let_111 _let_169 _let_184 _let_163 _let_170 _let_185 _let_1030 _let_178 _let_193 _let_197 _let_99))) :args (_let_112 _let_111 _let_166 _let_163 _let_169 _let_170 _let_176 _let_178 _let_184 _let_185 _let_99 _let_193 _let_1031 _let_197 _let_1030))) :args (true _let_1057)) _let_231 _let_148 _let_239 _let_1056 _let_241 _let_1055 (RESOLUTION (CNF_AND_NEG :args (_let_1048)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_291 _let_658 _let_295 _let_397 _let_282 _let_300 _let_288 _let_329 _let_333 _let_304 _let_325) (SCOPE (TRANS _let_282 _let_399 _let_300 (CONG _let_309 (TRANS _let_327 (CONG (TRANS _let_329 _let_1023 _let_310) _let_308 :args _let_284) _let_306 _let_1054 _let_289 _let_329 _let_1023) :args _let_284) (CONG _let_309 (TRANS _let_336 _let_330 _let_1009 _let_1053 _let_303 _let_1051 _let_1050) :args _let_284) (SYMM _let_1004) _let_396 _let_661 _let_293) :args (_let_111 _let_108 _let_166 _let_172 _let_112 _let_176 _let_169 _let_170 _let_163 _let_184 _let_185))) :args (_let_108 _let_112 _let_111 _let_166 _let_163 _let_169 _let_170 _let_172 _let_176 _let_184 _let_185))) :args (true _let_1048)) _let_223 _let_225 _let_118 _let_227 _let_229 _let_234 _let_124 _let_236 _let_137 _let_400 :args ((or _let_273 _let_272 _let_167 _let_164 _let_421 _let_420) false _let_411 false _let_108 true _let_1047 true _let_419 false _let_1044 false _let_110 false _let_108 false _let_208 false _let_983 false _let_1030 false _let_1031 false _let_193 false _let_99 false _let_185 false _let_98 false _let_184 false _let_1043 false _let_181 false _let_178 false _let_176 false _let_172 false _let_63 false _let_57 false _let_170 false _let_169 false _let_1041 false _let_1040 false _let_108 false _let_208 false _let_983 false _let_1030 false _let_1031 false _let_193 false _let_99 false _let_185 false _let_184 false _let_181 false _let_178 false _let_176 false _let_172 false _let_170 false _let_169 true _let_422 true _let_161 true _let_1039 false _let_1037 false _let_208 true _let_1036 true _let_1035 false _let_1032 false _let_178 false _let_99 false _let_193 false _let_1031 false _let_197 false _let_1030 false _let_1029 false _let_169 false _let_170 false _let_117 false _let_172 false _let_176 false _let_184 false _let_52 false _let_185 false _let_136 false _let_108)) _let_535 _let_534 _let_531 (MACRO_RESOLUTION_TRUST _let_523 _let_1026 _let_400 _let_237 _let_235 _let_230 _let_228 _let_226 _let_224 _let_505 _let_1028 _let_1027 (MACRO_RESOLUTION_TRUST _let_1017 _let_992 _let_1016 _let_400 _let_993 _let_149 _let_237 _let_235 _let_230 _let_228 _let_226 _let_224 :args ((or _let_273 _let_272 _let_159 _let_158 _let_167 _let_164 _let_984) false _let_980 false _let_978 false _let_108 false _let_983 false _let_99 false _let_185 false _let_184 false _let_176 false _let_172 false _let_170 false _let_169)) (MACRO_RESOLUTION_TRUST _let_1026 _let_400 _let_237 _let_235 _let_230 _let_228 _let_226 _let_224 _let_523 _let_505 _let_1019 _let_1018 :args ((or _let_156 _let_273 _let_272 _let_499 _let_167 _let_164 _let_522) false _let_108 false _let_185 false _let_184 false _let_176 false _let_172 false _let_170 false _let_169 true _let_415 false _let_410 false _let_406 false _let_405)) (MACRO_RESOLUTION_TRUST _let_1017 _let_1016 _let_400 _let_993 _let_149 _let_237 _let_235 _let_230 _let_228 _let_226 _let_224 _let_992 _let_986 _let_985 :args ((or _let_404 _let_273 _let_272 _let_167 _let_164 _let_984) false _let_978 false _let_108 false _let_983 false _let_99 false _let_185 false _let_184 false _let_176 false _let_172 false _let_170 false _let_169 false _let_980 false _let_157 false _let_156)) _let_527 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_526 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_524)) :args ((or _let_273 _let_272 _let_529 _let_167 _let_164) false _let_415 false _let_108 false _let_185 false _let_184 false _let_176 false _let_172 false _let_170 false _let_169 false _let_410 false _let_406 false _let_405 true _let_157 false _let_156 false _let_404 false _let_418 false _let_982)) :args ((or _let_273 _let_272 _let_167 _let_164) false _let_116 false _let_115 true _let_422 true _let_419)))) (let ((_let_1103 (= tptp.identity (tptp.multiply _let_20 tptp.sk_c2)))) (let ((_let_1104 (= (tptp.multiply _let_69 tptp.sk_c7) (tptp.multiply tptp.sk_c7 _let_64)))) (let ((_let_1105 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1106 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1105))) (let ((_let_1107 (= (tptp.multiply _let_165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_1106))) (let ((_let_1108 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_165))) (let ((_let_1109 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.sk_c6) _let_1108))) (let ((_let_1110 (= (tptp.multiply (tptp.multiply _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.sk_c6) (tptp.multiply _let_69 _let_165)))) (let ((_let_1111 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_1112 (= (tptp.multiply _let_174 _let_79) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply _let_173 _let_79))))) (let ((_let_1113 (= (tptp.multiply _let_1106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply _let_1105 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_1114 (tptp.multiply _let_78 _let_174))) (let ((_let_1115 (= (tptp.multiply (tptp.multiply _let_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_173) _let_1114))) (let ((_let_1116 (tptp.multiply tptp.sk_c1 _let_55))) (let ((_let_1117 (tptp.multiply _let_1116 _let_174))) (let ((_let_1118 (tptp.multiply _let_1116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1119 (tptp.multiply _let_1118 _let_173))) (let ((_let_1120 (= _let_1119 _let_1117))) (let ((_let_1121 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1122 (tptp.multiply _let_1121 _let_173))) (let ((_let_1123 (= _let_1122 (tptp.multiply tptp.sk_c8 _let_174)))) (let ((_let_1124 (= (tptp.multiply (tptp.multiply _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_65) (tptp.multiply _let_10 _let_76)))) (let ((_let_1125 (tptp.multiply _let_969 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1126 (= _let_1125 (tptp.multiply tptp.sk_c6 _let_79)))) (let ((_let_1127 (tptp.multiply _let_1121 tptp.sk_c6))) (let ((_let_1128 (= _let_1122 (tptp.multiply _let_1127 tptp.sk_c6)))) (let ((_let_1129 (= _let_1119 (tptp.multiply (tptp.multiply _let_1118 tptp.sk_c6) tptp.sk_c6)))) (let ((_let_1130 (= _let_962 (tptp.multiply _let_65 _let_173)))) (let ((_let_1131 (= (tptp.multiply _let_206 _let_1125) (tptp.multiply (tptp.multiply _let_206 _let_969) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_1132 (= (tptp.multiply _let_65 _let_165) (tptp.multiply _let_55 _let_1108)))) (let ((_let_1133 (= (tptp.multiply (tptp.multiply _let_82 _let_165) tptp.sk_c6) (tptp.multiply _let_82 _let_175)))) (let ((_let_1134 (= _let_1117 (tptp.multiply tptp.sk_c1 _let_1042)))) (let ((_let_1135 (= _let_1114 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1042)))) (let ((_let_1136 (= (tptp.multiply _let_175 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_165 _let_1105)))) (let ((_let_1137 (= _let_1127 (tptp.multiply tptp.sk_c8 _let_165)))) (let ((_let_1138 (= (tptp.multiply _let_180 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_174 _let_82)))) (let ((_let_1139 (= (tptp.multiply (tptp.multiply _let_165 tptp.identity) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply _let_165 _let_100)))) (let ((_let_1140 (tptp.multiply _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1141 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_82) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply tptp.sk_c8 _let_1140)))) (let ((_let_1142 (= (tptp.multiply (tptp.multiply _let_174 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_65) (tptp.multiply _let_174 _let_76)))) (let ((_let_1143 (= (tptp.multiply _let_206 _let_179) (tptp.multiply _let_207 tptp.sk_c8)))) (let ((_let_1144 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_82) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1140)))) (let ((_let_1145 (= (tptp.multiply _let_1042 tptp.sk_c8) (tptp.multiply _let_55 _let_180)))) (let ((_let_1146 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1147 (= (tptp.multiply _let_1146 _let_973) (tptp.multiply (tptp.multiply _let_1146 _let_179) _let_78)))) (let ((_let_1148 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_485 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_213)) :args _let_212)))) (let ((_let_1149 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_157 _let_402))))) (let ((_let_1150 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_157 _let_403))))) (let ((_let_1151 (and _let_108 _let_115 _let_116 _let_113 _let_114 _let_169 _let_57 _let_59 _let_63 _let_424 _let_67 _let_68 _let_71 _let_426 _let_74 _let_75 _let_77 _let_81 _let_83 _let_84 _let_428 _let_430 _let_432 _let_85 _let_433 _let_434 _let_436 _let_88 _let_91 _let_437 _let_438 _let_94 _let_440 _let_442 _let_443 _let_445 _let_446 _let_447 _let_95 _let_450 _let_97 _let_451 _let_453 _let_455 _let_98 _let_456 _let_459 _let_461 _let_463 _let_466 _let_468 _let_99 _let_101 _let_470 _let_103 _let_471 _let_472 _let_473 _let_474 _let_476 _let_477 _let_105 _let_478 _let_479 _let_480 _let_481 _let_483 _let_484 _let_486 _let_488 _let_489 _let_490 _let_107 _let_491 _let_492 _let_493 _let_494 _let_495 _let_110))) (let ((_let_1152 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1151)) (IMPLIES_ELIM (SCOPE _let_949 :args (_let_108 _let_115 _let_116 _let_113 _let_114 _let_169 _let_57 _let_59 _let_63 _let_424 _let_67 _let_68 _let_71 _let_426 _let_74 _let_75 _let_77 _let_81 _let_83 _let_84 _let_428 _let_430 _let_432 _let_85 _let_433 _let_434 _let_436 _let_88 _let_91 _let_437 _let_438 _let_94 _let_440 _let_442 _let_443 _let_445 _let_446 _let_447 _let_95 _let_450 _let_97 _let_451 _let_453 _let_455 _let_98 _let_456 _let_459 _let_461 _let_463 _let_466 _let_468 _let_99 _let_101 _let_470 _let_103 _let_471 _let_472 _let_473 _let_474 _let_476 _let_477 _let_105 _let_478 _let_479 _let_480 _let_481 _let_483 _let_484 _let_486 _let_488 _let_489 _let_490 _let_107 _let_491 _let_492 _let_493 _let_494 _let_495 _let_110))) :args (true _let_1151)) :args ((or _let_276 _let_421 _let_420 _let_413 _let_412 _let_269 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_258 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_656 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584))))) (let ((_let_1153 (REORDERING (CNF_OR_POS :args (_let_965)) :args ((or _let_964 _let_657 (not _let_965)))))) (let ((_let_1154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_1103 false _let_117)))) (let ((_let_1155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1104 false _let_52)))) (let ((_let_1156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_55 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_967 false _let_52)))) (let ((_let_1157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_1107 false _let_52)))) (let ((_let_1158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1109 false _let_52)))) (let ((_let_1159 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1110 false _let_52)))) (let ((_let_1160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_138)) _let_137 :args (_let_1111 false _let_136)))) (let ((_let_1161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_173 _let_79 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_1112 false _let_52)))) (let ((_let_1162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1105 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_1113 false _let_52)))) (let ((_let_1163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_173 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1115 false _let_52)))) (let ((_let_1164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_1116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_173 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1120 false _let_52)))) (let ((_let_1165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_173 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1123 false _let_52)))) (let ((_let_1166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_65 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1124 false _let_52)))) (let ((_let_1167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 _let_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_1126 false _let_52)))) (let ((_let_1168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_1121 tptp.sk_c6 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_1128 false _let_52)))) (let ((_let_1169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_1118 tptp.sk_c6 tptp.sk_c6 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_174 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_65 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1142 false _let_52)))) (let ((_let_1183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_206 _let_173 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_1143 false _let_52)))) (let ((_let_1184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1144 false _let_52)))) (let ((_let_1185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_55 _let_174 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_1145 false _let_52)))) (let ((_let_1186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_1146 _let_179 _let_78 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_1147 false _let_52)))) (let ((_let_1187 (not _let_976))) (let ((_let_1188 (not _let_967))) (let ((_let_1189 (and _let_108 _let_112 _let_111 _let_402 _let_403 _let_166 _let_116 _let_113 _let_114 _let_169 _let_1103 _let_59 _let_63 _let_1104 _let_967 _let_83 _let_84 _let_172 _let_176 _let_1107 _let_85 _let_1109 _let_1110 _let_1111 _let_181 _let_1112 _let_1113 _let_1043 _let_1115 _let_1120 _let_1123 _let_184 _let_1124 _let_98 _let_456 _let_1126 _let_189 _let_1128 _let_1129 _let_101 _let_470 _let_103 _let_1130 _let_105 _let_1131 _let_1132 _let_1133 _let_1134 _let_1135 _let_1136 _let_1031 _let_1137 _let_1138 _let_976 _let_1139 _let_1141 _let_1142 _let_1143 _let_1144 _let_1145 _let_1147))) (let ((_let_1190 (ASSUME :args (_let_1130)))) (let ((_let_1191 (ASSUME :args (_let_403)))) (let ((_let_1192 (TRANS _let_1099 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(TRANS (TRANS (CONG _let_1052 _let_846 :args _let_284) (SYMM _let_1260) (CONG _let_351 _let_706 :args _let_284)) _let_1255) _let_309 :args _let_284) (SYMM _let_1257) _let_1258 (SYMM _let_1259)) (TRANS _let_1259 (SYMM _let_1258) _let_1257)) _let_287 :args _let_284) (SYMM (SYMM _let_1251)) (CONG _let_755 _let_296 :args _let_284) (SYMM (SYMM _let_1250)) (CONG (TRANS (SYMM _let_1219) (SYMM _let_1220) _let_1099) _let_672 :args _let_284) (SYMM (SYMM _let_1249)) (CONG _let_674 _let_351 :args _let_284) (CONG _let_674 (TRANS _let_352 _let_1079 (CONG (SYMM _let_1094) _let_1052 :args _let_284) _let_1058) :args _let_284) _let_684 (CONG _let_679 _let_1052 :args _let_284) (CONG _let_295 _let_1049 :args _let_284) _let_396 _let_659) _let_287 :args _let_284)) :args _let_284) (CONG _let_1248 _let_308 :args _let_284) (SYMM _let_1190)) :args (_let_1130 _let_456 _let_59 _let_101 _let_113 _let_403 _let_116 _let_112 _let_166 _let_111 _let_176 _let_1043 _let_1134 _let_1120 _let_1129 _let_402 _let_1142 _let_85 _let_1112 _let_98 _let_105 _let_84 _let_1133 _let_1103 _let_169 _let_184 _let_1143 _let_108 _let_172 _let_1144 _let_1136 _let_1111 _let_1147 _let_189 _let_976 _let_470 _let_1131 _let_1126 _let_103 _let_1124 _let_63 _let_181 _let_1145 _let_114 _let_1104 _let_1110 _let_1139 _let_1031 _let_1107 _let_1113 _let_1138 _let_1141 _let_1137 _let_1128 _let_1123 _let_1135 _let_967 _let_83 _let_1132 _let_1109 _let_1115))) :args (_let_108 _let_112 _let_111 _let_402 _let_403 _let_166 _let_116 _let_113 _let_114 _let_169 _let_1103 _let_59 _let_63 _let_1104 _let_967 _let_83 _let_84 _let_172 _let_176 _let_1107 _let_85 _let_1109 _let_1110 _let_1111 _let_181 _let_1112 _let_1113 _let_1043 _let_1115 _let_1120 _let_1123 _let_184 _let_1124 _let_98 _let_456 _let_1126 _let_189 _let_1128 _let_1129 _let_101 _let_470 _let_103 _let_1130 _let_105 _let_1131 _let_1132 _let_1133 _let_1134 _let_1135 _let_1136 _let_1031 _let_1137 _let_1138 _let_976 _let_1139 _let_1141 _let_1142 _let_1143 _let_1144 _let_1145 _let_1147))) :args (true _let_1189)) :args ((or _let_276 _let_273 _let_272 _let_408 _let_407 _let_167 _let_420 _let_413 _let_412 _let_269 (not _let_1103) _let_654 _let_653 (not _let_1104) _let_1188 _let_643 _let_642 _let_267 _let_266 (not _let_1107) _let_638 (not _let_1109) (not _let_1110) (not _let_1111) _let_264 (not _let_1112) (not _let_1113) (not _let_1043) (not _let_1115) (not _let_1120) (not _let_1123) _let_263 (not _let_1124) _let_617 _let_616 (not _let_1126) _let_260 (not _let_1128) (not _let_1129) _let_610 _let_609 _let_608 (not _let_1130) _let_601 (not _let_1131) _let_963 (not _let_1132) (not _let_1133) (not _let_1134) (not _let_1135) (not _let_1136) (not _let_1031) (not _let_1137) (not _let_1138) _let_1187 (not _let_1139) (not _let_1141) (not _let_1142) (not _let_1143) (not _let_1144) (not _let_1145) (not _let_1147)))))) (let ((_let_1278 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_156 _let_402))))) (let ((_let_1279 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_156 _let_403))))) (let ((_let_1280 (MACRO_RESOLUTION_TRUST _let_211 _let_1027 _let_1018 :args ((or _let_405 _let_210) false _let_157 false _let_156)))) (let ((_let_1281 (MACRO_RESOLUTION_TRUST _let_211 _let_1028 _let_1019 :args ((or _let_406 _let_210) false _let_157 false _let_156)))) (let ((_let_1282 (MACRO_RESOLUTION_TRUST _let_523 _let_521 _let_505 :args ((or _let_499 _let_498 (not _let_406) _let_522) false _let_415 false _let_410)))) (let ((_let_1283 (MACRO_RESOLUTION_TRUST _let_211 _let_986 _let_985 _let_1282 _let_1281 _let_1280 _let_527 _let_531 _let_535 (MACRO_RESOLUTION_TRUST _let_1152 _let_401 _let_400 _let_583 _let_582 _let_581 _let_580 _let_579 _let_153 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_152 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_151 _let_562 _let_150 _let_149 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_147 _let_555 _let_554 _let_553 _let_146 _let_552 _let_145 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_144 _let_545 _let_544 _let_143 _let_142 _let_543 _let_542 _let_541 _let_141 _let_540 _let_539 _let_538 _let_140 _let_135 _let_134 _let_133 _let_132 _let_131 _let_537 _let_130 _let_129 _let_128 _let_536 _let_126 _let_122 _let_121 _let_224 _let_1153 _let_534 _let_1277 _let_961 _let_400 _let_1186 _let_1185 _let_1184 _let_1183 _let_1182 _let_1181 _let_1180 _let_1179 _let_1178 _let_1177 _let_1068 _let_1176 _let_1175 _let_1174 _let_1173 _let_1172 _let_1171 _let_152 _let_1170 _let_151 _let_562 _let_150 _let_1169 _let_1168 _let_238 _let_1167 _let_556 _let_147 _let_1166 _let_235 _let_1165 _let_1164 _let_1163 _let_1085 _let_1162 _let_1161 _let_233 _let_1160 _let_1159 _let_1158 _let_141 _let_1157 _let_230 _let_228 _let_140 _let_135 _let_1156 _let_1155 _let_126 _let_122 _let_1154 _let_224 _let_531 _let_516 _let_515 _let_527 _let_513 _let_523 _let_509 _let_521 _let_505 _let_497 _let_1019 _let_1018 _let_985 _let_1279 _let_1278 _let_211 (MACRO_RESOLUTION_TRUST _let_1277 _let_961 _let_400 _let_1186 _let_1185 _let_1184 _let_1183 _let_1182 _let_1181 _let_1180 _let_1179 _let_1178 _let_1177 _let_1068 _let_1176 _let_1175 _let_1174 _let_1173 _let_1172 _let_1171 _let_152 _let_1170 _let_151 _let_562 _let_150 _let_1169 _let_1168 _let_238 _let_1167 _let_556 _let_147 _let_1166 _let_235 _let_1165 _let_1164 _let_1163 _let_1085 _let_1162 _let_1161 _let_233 _let_1160 _let_1159 _let_1158 _let_141 _let_1157 _let_230 _let_228 _let_140 _let_135 _let_1156 _let_1155 _let_126 _let_122 _let_1154 _let_224 _let_1153 _let_1152 _let_401 _let_400 _let_583 _let_582 _let_581 _let_580 _let_579 _let_153 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_152 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_151 _let_562 _let_150 _let_149 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_147 _let_555 _let_554 _let_553 _let_146 _let_552 _let_145 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_144 _let_545 _let_544 _let_143 _let_142 _let_543 _let_542 _let_541 _let_141 _let_540 _let_539 _let_538 _let_140 _let_135 _let_134 _let_133 _let_132 _let_131 _let_537 _let_130 _let_129 _let_128 _let_536 _let_126 _let_122 _let_121 _let_224 _let_534 _let_531 _let_516 _let_515 _let_527 _let_513 _let_523 _let_509 _let_521 _let_505 _let_497 _let_1028 _let_1027 _let_986 _let_1150 _let_1149 _let_1148 _let_219 _let_222 _let_1102 _let_961 :args ((or _let_157 _let_273 _let_167 _let_420) false _let_111 false _let_108 false _let_1147 false _let_1145 false _let_1144 false _let_1143 false _let_1142 false _let_1141 false _let_1139 false _let_976 false _let_1138 false _let_1137 false _let_1031 false _let_1136 false _let_1135 false _let_1134 false _let_1133 false _let_1132 false _let_1131 false _let_105 false _let_1130 false _let_103 false _let_470 false _let_101 false _let_1129 false _let_1128 false _let_189 false _let_1126 false _let_456 false _let_98 false _let_1124 false _let_184 false _let_1123 false _let_1120 false _let_1115 false _let_1043 false _let_1113 false _let_1112 false _let_181 false _let_1111 false _let_1110 false _let_1109 false _let_85 false _let_1107 false _let_176 false _let_172 false _let_84 false _let_83 false _let_967 false _let_1104 false _let_63 false _let_59 false _let_1103 false _let_169 true _let_963 false _let_656 false _let_110 false _let_108 false _let_495 false _let_494 false _let_493 false _let_492 false _let_491 false _let_107 false _let_490 false _let_489 false _let_488 false _let_486 false _let_484 false _let_483 false _let_481 false _let_480 false _let_479 false _let_478 false _let_105 false _let_477 false _let_476 false _let_474 false _let_473 false _let_472 false _let_471 false _let_103 false _let_470 false _let_101 false _let_99 false _let_468 false _let_466 false _let_463 false _let_461 false _let_459 false _let_456 false _let_98 false _let_455 false _let_453 false _let_451 false _let_97 false _let_450 false _let_95 false _let_447 false _let_446 false _let_445 false _let_443 false _let_442 false _let_440 false _let_94 false _let_438 false _let_437 false _let_91 false _let_88 false _let_436 false _let_434 false _let_433 false _let_85 false _let_432 false _let_430 false _let_428 false _let_84 false _let_83 false _let_81 false _let_77 false _let_75 false _let_74 false _let_426 false _let_71 false _let_68 false _let_67 false _let_424 false _let_63 false _let_59 false _let_57 false _let_169 false _let_115 true _let_422 false _let_114 false _let_113 true _let_419 true _let_414 true _let_418 true _let_411 false _let_415 false _let_410 true _let_409 false _let_406 false _let_405 false _let_404 false _let_403 false _let_402 false _let_965 false _let_161 false _let_168 true _let_163 false _let_111)) _let_215 _let_1148 _let_219 _let_222 _let_1102 _let_961 :args ((or _let_273 _let_167 _let_420) false _let_110 false _let_108 false _let_495 false _let_494 false _let_493 false _let_492 false _let_491 false _let_107 false _let_490 false _let_489 false _let_488 false _let_486 false _let_484 false _let_483 false _let_481 false _let_480 false _let_479 false _let_478 false _let_105 false _let_477 false _let_476 false _let_474 false _let_473 false _let_472 false _let_471 false _let_103 false _let_470 false _let_101 false _let_99 false _let_468 false _let_466 false _let_463 false _let_461 false _let_459 false _let_456 false _let_98 false _let_455 false _let_453 false _let_451 false _let_97 false _let_450 false _let_95 false _let_447 false _let_446 false _let_445 false _let_443 false _let_442 false _let_440 false _let_94 false _let_438 false _let_437 false _let_91 false _let_88 false _let_436 false _let_434 false _let_433 false _let_85 false _let_432 false _let_430 false _let_428 false _let_84 false _let_83 false _let_81 false _let_77 false _let_75 false _let_74 false _let_426 false _let_71 false _let_68 false _let_67 false _let_424 false _let_63 false _let_59 false _let_57 false _let_169 true _let_656 false _let_115 false _let_963 false _let_111 false _let_108 false _let_1147 false _let_1145 false _let_1144 false _let_1143 false _let_1142 false _let_1141 false _let_1139 false _let_976 false _let_1138 false _let_1137 false _let_1031 false _let_1136 false _let_1135 false _let_1134 false _let_1133 false _let_1132 false _let_1131 false _let_105 false _let_1130 false _let_103 false _let_470 false _let_101 false _let_1129 false _let_1128 false _let_189 false _let_1126 false _let_456 false _let_98 false _let_1124 false _let_184 false _let_1123 false _let_1120 false _let_1115 false _let_1043 false _let_1113 false _let_1112 false _let_181 false _let_1111 false _let_1110 false _let_1109 false _let_85 false _let_1107 false _let_176 false _let_172 false _let_84 false _let_83 false _let_967 false _let_1104 false _let_63 false _let_59 false _let_1103 false _let_169 true _let_422 false _let_114 false _let_113 true _let_419 true _let_414 true _let_418 true _let_411 false _let_415 false _let_410 true _let_409 false _let_406 false _let_405 false _let_404 false _let_403 false _let_402 true _let_156 false _let_157 false _let_160 false _let_965 false _let_161 false _let_168 true _let_163 false _let_111)) _let_215 _let_219 _let_222 _let_1102 _let_961 :args ((or _let_273 _let_167) false _let_157 false _let_156 true _let_404 false _let_406 false _let_405 false _let_418 false _let_419 false _let_422 true _let_116 false _let_160 false _let_161 false _let_168 true _let_163 false _let_111)))) (let ((_let_1284 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_65 tptp.sk_c7 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_968 false _let_52)))) (let ((_let_1285 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 _let_78 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_970 false _let_52)))) (let ((_let_1286 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_173 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_971 false _let_52)))) (let ((_let_1287 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_65 _let_65 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_972 false _let_52)))) (let ((_let_1288 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_179 _let_78 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_974 false _let_52)))) (let ((_let_1289 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_65 tptp.sk_c8 _let_78 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123)) _let_124 :args (_let_975 false _let_52)))) (let ((_let_1290 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 tptp.sk_c6 _let_78 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_123))) _let_124 :args (_let_977 false _let_52)))) (let ((_let_1291 (not _let_977))) (let ((_let_1292 (not _let_975))) (let ((_let_1293 (not _let_974))) (let ((_let_1294 (not _let_972))) (let ((_let_1295 (not _let_971))) (let ((_let_1296 (not _let_970))) (let ((_let_1297 (not _let_968))) (let ((_let_1298 (and _let_108 _let_112 _let_111 _let_157 _let_115 _let_116 _let_113 _let_114 _let_169 _let_57 _let_59 _let_63 _let_67 _let_967 _let_68 _let_968 _let_74 _let_83 _let_84 _let_436 _let_88 _let_98 _let_970 _let_189 _let_101 _let_470 _let_471 _let_105 _let_971 _let_972 _let_974 _let_975 _let_976 _let_977 _let_110))) (let ((_let_1299 (CONG _let_662 _let_659 :args _let_284))) (let ((_let_1300 (TRANS _let_675 _let_668))) (let ((_let_1301 (CONG _let_1300 _let_290 :args _let_284))) (let ((_let_1302 (TRANS _let_658 _let_681 _let_1301 _let_666 _let_1299))) (let ((_let_1303 (CONG _let_1302 _let_287 :args _let_284))) (let ((_let_1304 (ASSUME :args (_let_972)))) (let ((_let_1305 (TRANS (CONG (TRANS _let_847 _let_845 _let_844) _let_287 :args _let_284) (SYMM (SYMM _let_1304)) (CONG _let_662 (SYMM _let_1302) :args _let_284) (SYMM _let_1299) _let_665 (SYMM _let_1301) _let_682 _let_659))) (let ((_let_1306 (CONG _let_1305 _let_287 :args _let_284))) (let ((_let_1307 (SYMM (TRANS _let_680 _let_675 _let_668)))) (let ((_let_1308 (CONG _let_706 _let_1307 :args _let_284))) (let ((_let_1309 (CONG _let_692 _let_1300 :args _let_284))) (let ((_let_1310 (TRANS _let_709 _let_1309 _let_1308 _let_672))) (let ((_let_1311 (CONG _let_723 (TRANS _let_721 _let_680 _let_719 _let_716 _let_714 (CONG _let_290 _let_1310 :args _let_284)) :args _let_284))) (let ((_let_1312 (SYMM _let_748))) (let ((_let_1313 (CONG (SYMM _let_745) _let_674 :args _let_284))) (let ((_let_1314 (TRANS _let_701 _let_698 _let_1313 _let_1312 _let_1311 _let_703 _let_684 _let_682 _let_659))) (let ((_let_1315 (CONG (TRANS _let_723 _let_1314 (SYMM _let_1305)) _let_287 :args _let_284))) (let ((_let_1316 (ASSUME :args (_let_968)))) (let ((_let_1317 (ASSUME :args (_let_975)))) (let ((_let_1318 (SYMM _let_1314))) (let ((_let_1319 (TRANS _let_292 _let_1318 _let_702))) (let ((_let_1320 (CONG _let_291 _let_741 :args _let_284))) (let ((_let_1321 (CONG (TRANS _let_1318 _let_702) (TRANS _let_1320 (CONG _let_1319 _let_741 :args _let_284) _let_817 _let_896 (SYMM _let_1317) (CONG (TRANS (CONG _let_662 _let_282 :args _let_284) (SYMM _let_1316) (CONG _let_1307 _let_287 :args _let_284) _let_283) _let_741 :args _let_284) _let_701 _let_698 _let_1313 _let_1312 _let_1311 _let_703 _let_684 _let_682 _let_659) :args _let_284))) (let ((_let_1322 (ASSUME :args (_let_977)))) (let ((_let_1323 (SYMM _let_1322))) (let ((_let_1324 (CONG _let_308 (TRANS (CONG (SYMM _let_1310) _let_290 :args _let_284) _let_731 (CONG _let_706 (TRANS _let_682 _let_659) :args _let_284) (CONG _let_706 _let_1318 :args _let_284) _let_742) :args _let_284))) (let ((_let_1325 (ASSUME :args (_let_971)))) (let ((_let_1326 (SYMM (SYMM _let_1325)))) (let ((_let_1327 (TRANS (SYMM _let_1271) _let_709 _let_1309 _let_1308 _let_672))) (let ((_let_1328 (CONG _let_382 _let_1327 :args _let_284))) (let ((_let_1329 (ASSUME :args (_let_974)))) (let ((_let_1330 (SYMM (SYMM _let_1329)))) (let ((_let_1331 (CONG (TRANS _let_1244 _let_1242 (CONG (TRANS _let_1240 (TRANS _let_1239 (CONG _let_287 (TRANS _let_1009 (CONG _let_292 _let_290 :args _let_284)) :args _let_284) _let_344)) _let_741 :args _let_284)) _let_290 :args _let_284))) (let ((_let_1332 (ASSUME :args (_let_970)))) (let ((_let_1333 (SYMM _let_1332))) (let ((_let_1334 (CONG _let_287 (SYMM _let_1327) :args _let_284))) (let ((_let_1335 (and _let_108 _let_112 _let_111 _let_115 _let_116 _let_113 _let_114 _let_169 _let_57 _let_59 _let_63 _let_67 _let_967 _let_68 _let_968 _let_74 _let_77 _let_83 _let_84 _let_85 _let_436 _let_88 _let_98 _let_970 _let_189 _let_101 _let_470 _let_103 _let_471 _let_105 _let_971 _let_972 _let_974 _let_975 _let_976 _let_977 _let_110))) (let ((_let_1336 (TRANS _let_891 _let_890 _let_889 _let_1308 _let_672))) (let ((_let_1337 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1335)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_658 _let_664 _let_667 _let_671 _let_678 _let_1304 _let_843 _let_689 _let_691 _let_694 _let_811 _let_683 _let_687 _let_699 _let_712 _let_717 _let_720 _let_747 _let_744 _let_282 _let_1316 _let_1317 _let_815 _let_291 _let_1322 _let_729 _let_1325 _let_1270 _let_1329 _let_343 _let_288 _let_1241 _let_907 _let_1332 _let_887 _let_737 _let_827) (SCOPE (TRANS _let_680 (CONG (SYMM _let_1319) (SYMM _let_1336) :args _let_284) (CONG _let_292 _let_1336 :args _let_284) _let_1334 _let_1333 _let_1331 _let_1330 _let_1328 _let_1326 _let_1324 _let_1323 _let_1321 _let_1315 _let_1306 _let_1303) :args (_let_108 _let_68 _let_67 _let_114 _let_116 _let_972 _let_471 _let_59 _let_101 _let_113 _let_436 _let_63 _let_98 _let_105 _let_83 _let_84 _let_115 _let_110 _let_57 _let_112 _let_968 _let_975 _let_88 _let_111 _let_977 _let_74 _let_971 _let_967 _let_974 _let_189 _let_169 _let_976 _let_470 _let_970 _let_77 _let_85 _let_103))) :args (_let_108 _let_112 _let_111 _let_115 _let_116 _let_113 _let_114 _let_169 _let_57 _let_59 _let_63 _let_67 _let_967 _let_68 _let_968 _let_74 _let_77 _let_83 _let_84 _let_85 _let_436 _let_88 _let_98 _let_970 _let_189 _let_101 _let_470 _let_103 _let_471 _let_105 _let_971 _let_972 _let_974 _let_975 _let_976 _let_977 _let_110))) :args (true _let_1335)) :args ((or _let_276 _let_273 _let_272 _let_421 _let_420 _let_413 _let_412 _let_269 _let_655 _let_654 _let_653 _let_651 _let_1188 _let_650 _let_1297 _let_647 _let_645 _let_643 _let_642 _let_638 _let_635 _let_634 _let_617 _let_1296 _let_260 _let_610 _let_609 _let_608 _let_607 _let_601 _let_963 _let_1295 _let_1294 _let_1293 _let_1292 _let_1187 _let_1291 _let_584))) _let_961 _let_401 _let_400 _let_1290 _let_1179 _let_1289 _let_1288 _let_1287 _let_1286 _let_152 _let_563 _let_151 _let_562 _let_150 _let_238 _let_1285 _let_147 _let_142 _let_543 _let_141 _let_140 _let_135 _let_133 _let_131 _let_1284 _let_129 _let_1156 _let_128 _let_126 _let_122 _let_121 _let_224 _let_1153 _let_1152 _let_401 _let_400 _let_583 _let_582 _let_581 _let_580 _let_579 _let_153 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_152 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_151 _let_562 _let_150 _let_149 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_147 _let_555 _let_554 _let_553 _let_146 _let_552 _let_145 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_144 _let_545 _let_544 _let_143 _let_142 _let_543 _let_542 _let_541 _let_141 _let_540 _let_539 _let_538 _let_140 _let_135 _let_134 _let_133 _let_132 _let_131 _let_537 _let_130 _let_129 _let_128 _let_536 _let_126 _let_122 _let_121 _let_224 _let_535 _let_534 _let_516 _let_515 _let_531 _let_513 _let_527 _let_509 _let_1282 _let_497 _let_986 _let_1150 _let_1149 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1298)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_658 _let_664 _let_667 _let_671 _let_678 _let_1304 _let_843 _let_689 _let_691 _let_694 _let_811 _let_683 _let_687 _let_699 _let_712 _let_717 _let_720 _let_747 _let_744 _let_282 _let_1316 _let_1317 _let_815 _let_291 _let_1322 _let_729 _let_1325 _let_1270 _let_1329 _let_343 _let_288 _let_1241 _let_907 _let_1332 _let_988) (SCOPE (TRANS _let_680 (CONG (TRANS _let_723 _let_1314 _let_988) _let_290 :args _let_284) (CONG _let_989 _let_290 :args _let_284) _let_1334 _let_1333 _let_1331 _let_1330 _let_1328 _let_1326 _let_1324 _let_1323 _let_1321 _let_1315 _let_1306 _let_1303) :args (_let_108 _let_68 _let_67 _let_114 _let_116 _let_972 _let_471 _let_59 _let_101 _let_113 _let_436 _let_63 _let_98 _let_105 _let_83 _let_84 _let_115 _let_110 _let_57 _let_112 _let_968 _let_975 _let_88 _let_111 _let_977 _let_74 _let_971 _let_967 _let_974 _let_189 _let_169 _let_976 _let_470 _let_970 _let_157))) :args (_let_108 _let_112 _let_111 _let_157 _let_115 _let_116 _let_113 _let_114 _let_169 _let_57 _let_59 _let_63 _let_67 _let_967 _let_68 _let_968 _let_74 _let_83 _let_84 _let_436 _let_88 _let_98 _let_970 _let_189 _let_101 _let_470 _let_471 _let_105 _let_971 _let_972 _let_974 _let_975 _let_976 _let_977 _let_110))) :args (true _let_1298)) :args ((or _let_276 _let_273 _let_272 _let_158 _let_421 _let_420 _let_413 _let_412 _let_269 _let_655 _let_654 _let_653 _let_651 _let_1188 _let_650 _let_1297 _let_647 _let_643 _let_642 _let_635 _let_634 _let_617 _let_1296 _let_260 _let_610 _let_609 _let_607 _let_601 _let_963 _let_1295 _let_1294 _let_1293 _let_1292 _let_1187 _let_1291 _let_584))) _let_961 _let_401 _let_400 _let_1290 _let_1179 _let_1289 _let_1288 _let_1287 _let_1286 _let_152 _let_563 _let_562 _let_150 _let_238 _let_1285 _let_147 _let_142 _let_543 _let_140 _let_135 _let_131 _let_1284 _let_129 _let_1156 _let_128 _let_126 _let_122 _let_121 _let_224 _let_1153 _let_1152 _let_401 _let_400 _let_583 _let_582 _let_581 _let_580 _let_579 _let_153 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_152 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_151 _let_562 _let_150 _let_149 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_147 _let_555 _let_554 _let_553 _let_146 _let_552 _let_145 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_144 _let_545 _let_544 _let_143 _let_142 _let_543 _let_542 _let_541 _let_141 _let_540 _let_539 _let_538 _let_140 _let_135 _let_134 _let_133 _let_132 _let_131 _let_537 _let_130 _let_129 _let_128 _let_536 _let_126 _let_122 _let_121 _let_224 _let_535 _let_534 _let_516 _let_515 _let_531 _let_513 _let_527 _let_509 _let_1282 _let_497 _let_985 _let_1279 _let_1278 _let_211 _let_1280 _let_1281 _let_215 _let_1148 _let_219 _let_221 _let_1283 :args ((or _let_273 _let_158) false _let_111 false _let_110 false _let_108 false _let_977 false _let_976 false _let_975 false _let_974 false _let_972 false _let_971 false _let_105 false _let_471 false _let_470 false _let_101 false _let_189 false _let_970 false _let_98 false _let_88 false _let_436 false _let_84 false _let_83 false _let_74 false _let_968 false _let_68 false _let_967 false _let_67 false _let_63 false _let_59 false _let_57 false _let_169 true _let_963 false _let_656 false _let_110 false _let_108 false _let_495 false _let_494 false _let_493 false _let_492 false _let_491 false _let_107 false _let_490 false _let_489 false _let_488 false _let_486 false _let_484 false _let_483 false _let_481 false _let_480 false _let_479 false _let_478 false _let_105 false _let_477 false _let_476 false _let_474 false _let_473 false _let_472 false _let_471 false _let_103 false _let_470 false _let_101 false _let_99 false _let_468 false _let_466 false _let_463 false _let_461 false _let_459 false _let_456 false _let_98 false _let_455 false _let_453 false _let_451 false _let_97 false _let_450 false _let_95 false _let_447 false _let_446 false _let_445 false _let_443 false _let_442 false _let_440 false _let_94 false _let_438 false _let_437 false _let_91 false _let_88 false _let_436 false _let_434 false _let_433 false _let_85 false _let_432 false _let_430 false _let_428 false _let_84 false _let_83 false _let_81 false _let_77 false _let_75 false _let_74 false _let_426 false _let_71 false _let_68 false _let_67 false _let_424 false _let_63 false _let_59 false _let_57 false _let_169 false _let_116 false _let_115 false _let_114 false _let_113 true _let_422 true _let_414 true _let_419 true _let_411 true _let_418 true _let_409 false _let_404 false _let_403 false _let_402 true _let_156 false _let_405 false _let_406 false _let_160 false _let_965 false _let_161 false _let_168 true _let_166)) _let_1281 _let_1280 _let_1148 _let_215 _let_219 _let_221 _let_1283 :args (_let_273 false _let_111 false _let_110 false _let_108 false _let_977 false _let_976 false _let_975 false _let_974 false _let_972 false _let_971 false _let_105 false _let_471 false _let_103 false _let_470 false _let_101 false _let_189 false _let_970 false _let_98 false _let_88 false _let_436 false _let_85 false _let_84 false _let_83 false _let_77 false _let_74 false _let_968 false _let_68 false _let_967 false _let_67 false _let_63 false _let_59 false _let_57 false _let_169 true _let_963 false _let_656 false _let_110 false _let_108 false _let_495 false _let_494 false _let_493 false _let_492 false _let_491 false _let_107 false _let_490 false _let_489 false _let_488 false _let_486 false _let_484 false _let_483 false _let_481 false _let_480 false _let_479 false _let_478 false _let_105 false _let_477 false _let_476 false _let_474 false _let_473 false _let_472 false _let_471 false _let_103 false _let_470 false _let_101 false _let_99 false _let_468 false _let_466 false _let_463 false _let_461 false _let_459 false _let_456 false _let_98 false _let_455 false _let_453 false _let_451 false _let_97 false _let_450 false _let_95 false _let_447 false _let_446 false _let_445 false _let_443 false _let_442 false _let_440 false _let_94 false _let_438 false _let_437 false _let_91 false _let_88 false _let_436 false _let_434 false _let_433 false _let_85 false _let_432 false _let_430 false _let_428 false _let_84 false _let_83 false _let_81 false _let_77 false _let_75 false _let_74 false _let_426 false _let_71 false _let_68 false _let_67 false _let_424 false _let_63 false _let_59 false _let_57 false _let_169 false _let_116 false _let_115 false _let_114 false _let_113 true _let_422 true _let_414 true _let_419 true _let_411 true _let_418 true _let_409 false _let_404 false _let_403 false _let_402 true _let_157 false _let_406 false _let_405 false _let_965 false _let_160 false _let_161 false _let_168 true _let_166)))) (let ((_let_1338 (MACRO_RESOLUTION_TRUST _let_513 (MACRO_RESOLUTION_TRUST _let_509 (MACRO_RESOLUTION_TRUST _let_497 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_112 _let_402))) _let_1337 :args (_let_402 true _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_112 _let_403))) _let_1337 :args (_let_403 true _let_112)) :args (_let_496 false _let_402 false _let_403)) :args (_let_511 true _let_409)) :args (_let_510 true _let_411)))) (let ((_let_1339 (MACRO_RESOLUTION_TRUST _let_531 (MACRO_RESOLUTION_TRUST _let_527 (MACRO_RESOLUTION_TRUST _let_1282 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_112 _let_404))) _let_1337 :args (_let_404 true _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_112 _let_405))) _let_1337 :args (_let_405 true _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_112 _let_406))) _let_1337 :args (_let_406 true _let_112)) :args (_let_522 false _let_404 false _let_405 false _let_406)) :args (_let_529 true _let_418)) :args (_let_528 true _let_419)))) (let ((_let_1340 (and _let_108 _let_111 _let_115 _let_116 _let_113 _let_114 _let_57 _let_59 _let_63 _let_67 _let_68 _let_71 _let_74 _let_75 _let_77 _let_81 _let_83 _let_84 _let_85 _let_88 _let_91 _let_94 _let_95 _let_97 _let_98 _let_99 _let_101 _let_103 _let_105 _let_107 _let_110))) (let ((_let_1341 (CONG _let_679 _let_290 :args _let_284))) (let ((_let_1342 (TRANS (SYMM _let_951) _let_668))) (let ((_let_1343 (SYMM _let_1342))) (let ((_let_1344 (TRANS _let_709 (CONG _let_692 _let_1342 :args _let_284) _let_953 _let_672))) (let ((_let_1345 (CONG _let_290 _let_1344 :args _let_284))) (let ((_let_1346 (TRANS _let_701 _let_698 _let_1313 _let_1312 (CONG _let_723 (TRANS _let_721 _let_678 _let_719 _let_716 _let_714 _let_1345) :args _let_284) _let_703 _let_684 _let_1341 _let_659))) (let ((_let_1347 (TRANS _let_1320 (CONG (TRANS _let_292 (SYMM _let_1346) _let_702) _let_741 :args _let_284) _let_817 _let_896 (CONG _let_662 _let_1346 :args _let_284) (CONG _let_662 _let_658 :args _let_284) _let_665 (CONG _let_1343 _let_290 :args _let_284) _let_1341 _let_659))) (let ((_let_1348 (TRANS (CONG _let_706 _let_723 :args _let_284) (CONG _let_706 _let_1346 :args _let_284) (CONG _let_706 (TRANS _let_658 (SYMM _let_1341)) :args _let_284) _let_730 (CONG _let_1344 _let_290 :args _let_284) (SYMM _let_1345) _let_713 _let_726 _let_718 _let_679))) (let ((_let_1349 (TRANS (CONG (SYMM _let_952) _let_706 :args _let_284) _let_757))) (let ((_let_1350 (CONG (TRANS (CONG _let_706 _let_1349 :args _let_284) (CONG _let_706 (TRANS _let_758 (CONG _let_1343 _let_706 :args _let_284)) :args _let_284) _let_778 (CONG _let_1344 _let_706 :args _let_284) _let_696 _let_693 _let_690) _let_1346 :args _let_284))) (let ((_let_1351 (CONG _let_774 _let_723 :args _let_284))) (let ((_let_1352 (SYMM _let_754))) (let ((_let_1353 (CONG _let_706 _let_1352 :args _let_284))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1340)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_678 _let_717 _let_689 _let_691 _let_694 _let_712 _let_671 _let_667 _let_729 _let_658 _let_683 _let_687 _let_699 _let_720 _let_747 _let_744 _let_664 _let_815 _let_291 _let_285 _let_777 _let_757 _let_771 _let_753 _let_767 _let_764 _let_761 _let_892 _let_737 _let_827 _let_887) (SCOPE (TRANS _let_671 _let_955 _let_888 (CONG (SYMM _let_829) _let_678 :args _let_284) (CONG _let_828 _let_708 :args _let_284) (SYMM _let_893) (CONG _let_1348 _let_1344 :args _let_284) _let_659 _let_285 (SYMM _let_1350) (SYMM _let_1351) _let_771 (SYMM _let_1353) (CONG _let_706 (TRANS _let_1352 (CONG _let_755 _let_723 :args _let_284) (CONG _let_1349 _let_702 :args _let_284) (SYMM _let_762) (CONG _let_662 _let_754 :args _let_284) (SYMM _let_765)) :args _let_284) _let_768 (CONG _let_741 (TRANS _let_1353 _let_772 _let_1351 _let_1350 _let_286) :args _let_284) (CONG _let_741 (SYMM _let_1347) :args _let_284) (CONG _let_1348 _let_1347 :args _let_284)) :args (_let_116 _let_84 _let_59 _let_101 _let_113 _let_83 _let_114 _let_67 _let_74 _let_108 _let_63 _let_98 _let_105 _let_115 _let_110 _let_57 _let_68 _let_88 _let_111 _let_99 _let_75 _let_71 _let_97 _let_91 _let_107 _let_94 _let_95 _let_81 _let_85 _let_103 _let_77))) :args (_let_108 _let_111 _let_115 _let_116 _let_113 _let_114 _let_57 _let_59 _let_63 _let_67 _let_68 _let_71 _let_74 _let_75 _let_77 _let_81 _let_83 _let_84 _let_85 _let_88 _let_91 _let_94 _let_95 _let_97 _let_98 _let_99 _let_101 _let_103 _let_105 _let_107 _let_110))) :args (true _let_1340)) :args ((or _let_112 _let_276 _let_272 _let_421 _let_420 _let_413 _let_412 _let_655 _let_654 _let_653 _let_651 _let_650 _let_649 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_638 _let_634 _let_633 _let_630 _let_623 _let_621 _let_617 _let_258 _let_610 _let_608 _let_601 _let_590 _let_584))) (MACRO_RESOLUTION_TRUST _let_535 _let_1339 :args (_let_116 true _let_422)) (MACRO_RESOLUTION_TRUST _let_534 _let_1339 :args (_let_115 true _let_422)) (MACRO_RESOLUTION_TRUST _let_516 _let_1338 :args (_let_114 true _let_414)) (MACRO_RESOLUTION_TRUST _let_515 _let_1338 :args (_let_113 true _let_414)) _let_1337 _let_961 _let_401 _let_400 _let_153 _let_152 _let_151 _let_150 _let_149 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_126 _let_122 _let_121 :args (false false _let_116 false _let_115 false _let_114 false _let_113 true _let_112 false _let_111 false _let_110 false _let_108 false _let_107 false _let_105 false _let_103 false _let_101 false _let_99 false _let_98 false _let_97 false _let_95 false _let_94 false _let_91 false _let_88 false _let_85 false _let_84 false _let_83 false _let_81 false _let_77 false _let_75 false _let_74 false _let_71 false _let_68 false _let_67 false _let_63 false _let_59 false _let_57)) :args (_let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_43 (or _let_39 _let_16) (or _let_39 _let_14) _let_42 _let_41 _let_40 _let_37 (or _let_33 _let_16) (or _let_33 _let_14) _let_36 _let_35 _let_34 _let_31 (or _let_27 _let_16) (or _let_27 _let_14) _let_30 _let_29 _let_28 _let_25 (or _let_21 _let_16) (or _let_21 _let_14) _let_24 _let_23 _let_22 _let_19 (or _let_5 _let_16) (or _let_5 _let_14) _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.81/2.06  )
% 1.81/2.06  % SZS output end Proof for GRP337-1
% 1.81/2.06  % cvc5---1.0.5 exiting
% 1.81/2.07  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------