TSTP Solution File: SWW099+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW099+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:19:48 EDT 2023

% Result   : Theorem 66.84s 67.10s
% Output   : Proof 66.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW099+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Aug 27 20:45:08 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.46  %----Proving TF0_NAR, FOF, or CNF
% 66.84/67.10  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OtFkLxEldQ/cvc5---1.0.5_29554.p...
% 66.84/67.10  ------- get file name : TPTP file name is SWW099+1
% 66.84/67.10  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29554.smt2...
% 66.84/67.10  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 66.84/67.10  --- Run --no-e-matching --full-saturate-quant at 5...
% 66.84/67.10  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 66.84/67.10  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 66.84/67.10  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 66.84/67.10  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 66.84/67.10  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 66.84/67.10  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 66.84/67.10  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 66.84/67.10  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 66.84/67.10  --- Run --relevant-triggers --full-saturate-quant at 5...
% 66.84/67.10  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.84/67.10  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 66.84/67.10  % SZS status Theorem for SWW099+1
% 66.84/67.10  % SZS output start Proof for SWW099+1
% 66.84/67.10  (
% 66.84/67.10  (let ((_let_1 (not (forall ((P $$unsorted)) (let ((_let_1 (tptp.exists2 P))) (let ((_let_2 (tptp.exists1 P))) (=> (or (tptp.bool _let_2) (tptp.bool _let_1)) (= _let_2 _let_1)))))))) (let ((_let_2 (tptp.not1 tptp.true))) (let ((_let_3 (= _let_2 tptp.false))) (let ((_let_4 (tptp.not1 tptp.false))) (let ((_let_5 (= _let_4 tptp.true))) (let ((_let_6 (forall ((A $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.not1 A) (tptp.phi A)))))) (let ((_let_7 (exists ((P $$unsorted)) (and (= tptp.false2 (tptp.phi (tptp.f7 P))) (not (exists ((P1 $$unsorted)) (tptp.forallprefers (tptp.f7 P1) (tptp.f7 P)))))))) (let ((_let_8 (= tptp.false1 tptp.false))) (let ((_let_9 (forall ((P $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.exists2 P) (tptp.phi (tptp.f6 P R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f6 P R1) (tptp.f6 P R))))))))) (let ((_let_10 (forall ((P $$unsorted) (R $$unsorted)) (= (tptp.f6 P R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.f5 P R) R)))))) (let ((_let_11 (forall ((P $$unsorted) (R $$unsorted)) (exists ((X $$unsorted)) (and (= (tptp.f5 P R) (tptp.phi (tptp.f4 P X R))) (not (exists ((X1 $$unsorted)) (tptp.forallprefers (tptp.f4 P X1 R) (tptp.f4 P X R))))))))) (let ((_let_12 (forall ((P $$unsorted) (X $$unsorted) (R $$unsorted)) (= (tptp.f4 P X R) (tptp.impl (tptp.apply P X) R))))) (let ((_let_13 (forall ((P $$unsorted)) (exists ((X $$unsorted)) (and (= (tptp.exists1 P) (tptp.phi (tptp.apply P X))) (not (exists ((X1 $$unsorted)) (tptp.existsprefers (tptp.apply P X1) (tptp.apply P X))))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.or1 A B) (tptp.phi B)))))) (let ((_let_15 (forall ((P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.lazy_and2 P Q) (tptp.phi (tptp.f2 P Q R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f2 P Q R1) (tptp.f2 P Q R))))))))) (let ((_let_16 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.f2 P Q R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.lazy_impl P (tptp.impl Q R)) R)))))) (let ((_let_17 (forall ((P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.and2 P Q) (tptp.phi (tptp.f1 P Q R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f1 P Q R1) (tptp.f1 P Q R))))))))) (let ((_let_18 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.f1 P Q R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.impl P (tptp.impl Q R)) R)))))) (let ((_let_19 (forall ((B $$unsorted)) (= (tptp.lazy_impl tptp.true B) (tptp.phi B))))) (let ((_let_20 (forall ((B $$unsorted)) (= (tptp.lazy_impl tptp.false B) tptp.true)))) (let ((_let_21 (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.impl tptp.true B) B))))) (let ((_let_22 (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.impl tptp.false B) tptp.true))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.impl A B) (tptp.phi B)))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.impl A B) (tptp.phi A)))))) (let ((_let_25 (forall ((X $$unsorted)) (= (= (tptp.prop X) tptp.false) (not (tptp.bool X)))))) (let ((_let_26 (forall ((X $$unsorted)) (= (= (tptp.prop X) tptp.true) (tptp.bool X))))) (let ((_let_27 (forall ((X $$unsorted)) (let ((_let_1 (tptp.phi X))) (let ((_let_2 (tptp.d X))) (or (and _let_2 (= _let_1 X)) (and (not _let_2) (= _let_1 tptp.err)))))))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.d Y))) (let ((_let_2 (tptp.d X))) (= (tptp.existsprefers X Y) (or (and (not _let_2) _let_1) (and _let_2 _let_1 (not (tptp.bool X)) (tptp.bool Y)) (and (= X tptp.true) (= Y tptp.false))))))))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.d Y))) (let ((_let_2 (tptp.d X))) (= (tptp.forallprefers X Y) (or (and (not _let_2) _let_1) (and _let_2 _let_1 (not (tptp.bool X)) (tptp.bool Y)) (and (= X tptp.false) (= Y tptp.true))))))))) (let ((_let_30 (tptp.d tptp.err))) (let ((_let_31 (and (tptp.d tptp.true) (tptp.d tptp.false) _let_30))) (let ((_let_32 (not (= tptp.false tptp.err)))) (let ((_let_33 (not (= tptp.true tptp.err)))) (let ((_let_34 (and (not (= tptp.true tptp.false)) _let_33 _let_32))) (let ((_let_35 (forall ((X $$unsorted)) (= (tptp.bool X) (or (= X tptp.false) (= X tptp.true)))))) (let ((_let_36 (tptp.d tptp.false1))) (let ((_let_37 (skop_5 skv_9))) (let ((_let_38 (tptp.apply skv_9 _let_37))) (let ((_let_39 (tptp.d _let_38))) (let ((_let_40 (= tptp.false1 _let_38))) (let ((_let_41 (1))) (let ((_let_42 (SYMM (ASSUME :args (_let_8))))) (let ((_let_43 (EQ_RESOLVE (SYMM (ASSUME :args (_let_5))) (MACRO_SR_EQ_INTRO _let_42 :args ((= tptp.true _let_4) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (0))) (let ((_let_45 (AND_INTRO (NOT_NOT_ELIM (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((P $$unsorted)) (or (not (= tptp.false2 (tptp.phi (tptp.f7 P)))) (not (forall ((P1 $$unsorted)) (not (tptp.forallprefers (tptp.f7 P1) (tptp.f7 P)))))))) (not (or (not (= tptp.false2 (tptp.phi (tptp.f7 skv_8)))) (not (forall ((P1 $$unsorted)) (not (tptp.forallprefers (tptp.f7 P1) (tptp.f7 skv_8)))))))))))) :args _let_44)) _let_43 _let_42))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO _let_45 :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (AND_ELIM _let_46 :args _let_41))) (let ((_let_48 (tptp.phi _let_38))) (let ((_let_49 (= tptp.err _let_48))) (let ((_let_50 (not _let_39))) (let ((_let_51 (and _let_50 _let_49))) (let ((_let_52 (= _let_38 _let_48))) (let ((_let_53 (and _let_39 _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (forall ((X $$unsorted)) (let ((_let_1 (tptp.phi X))) (let ((_let_2 (tptp.d X))) (or (and _let_2 (= X _let_1)) (and (not _let_2) (= tptp.err _let_1)))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((tptp.phi X)))) (let ((_let_59 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST _let_59 _let_56 :args (_let_54 false _let_55)))) (let ((_let_61 (not _let_53))) (let ((_let_62 (tptp.exists1 skv_9))) (let ((_let_63 (tptp.exists2 skv_9))) (let ((_let_64 (tptp.impl _let_62 _let_63))) (let ((_let_65 (= _let_64 (tptp.phi _let_62)))) (let ((_let_66 (tptp.f4 skv_9 _let_37 _let_63))) (let ((_let_67 (tptp.bool _let_66))) (let ((_let_68 (tptp.impl _let_38 _let_63))) (let ((_let_69 (= _let_66 _let_68))) (let ((_let_70 (= _let_62 _let_48))) (let ((_let_71 (tptp.bool _let_62))) (let ((_let_72 (not _let_52))) (let ((_let_73 (or _let_71 _let_65))) (let ((_let_74 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.bool A) (= (tptp.impl A B) (tptp.phi A)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 (_let_62 _let_63 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_78 (tptp.not1 tptp.false1))) (let ((_let_79 (= _let_62 _let_78))) (let ((_let_80 (= tptp.false1 _let_62))) (let ((_let_81 (or _let_80 _let_79))) (let ((_let_82 (= _let_71 _let_81))) (let ((_let_83 (tptp.prop _let_62))) (let ((_let_84 (= _let_78 _let_83))) (let ((_let_85 (= _let_71 _let_84))) (let ((_let_86 (tptp.impl tptp.false1 _let_62))) (let ((_let_87 (= _let_78 _let_86))) (let ((_let_88 (not _let_71))) (let ((_let_89 (or _let_88 _let_87))) (let ((_let_90 (tptp.impl _let_78 _let_62))) (let ((_let_91 (= _let_62 _let_90))) (let ((_let_92 (or _let_88 _let_91))) (let ((_let_93 (tptp.bool tptp.err))) (let ((_let_94 (tptp.phi tptp.err))) (let ((_let_95 (= _let_94 (tptp.impl _let_62 tptp.err)))) (let ((_let_96 (or _let_88 _let_93 _let_95))) (let ((_let_97 (tptp.bool _let_63))) (let ((_let_98 (tptp.phi _let_63))) (let ((_let_99 (= _let_98 (tptp.or1 _let_62 _let_63)))) (let ((_let_100 (or _let_88 _let_97 _let_99))) (let ((_let_101 (= _let_98 _let_64))) (let ((_let_102 (or _let_88 _let_97 _let_101))) (let ((_let_103 (skop_7 skv_9))) (let ((_let_104 (tptp.f6 skv_9 _let_103))) (let ((_let_105 (tptp.phi _let_104))) (let ((_let_106 (= _let_104 _let_105))) (let ((_let_107 (tptp.d _let_104))) (let ((_let_108 (and _let_107 _let_106))) (let ((_let_109 (= tptp.err _let_105))) (let ((_let_110 (not _let_107))) (let ((_let_111 (and _let_110 _let_109))) (let ((_let_112 (or _let_108 _let_111))) (let ((_let_113 (tptp.d _let_78))) (let ((_let_114 (tptp.f5 skv_9 _let_103))) (let ((_let_115 (tptp.impl _let_114 _let_103))) (let ((_let_116 (tptp.prop _let_103))) (let ((_let_117 (= _let_104 (tptp.lazy_impl _let_116 _let_115)))) (let ((_let_118 (= _let_78 (tptp.lazy_impl tptp.false1 _let_115)))) (let ((_let_119 (= tptp.false1 _let_116))) (let ((_let_120 (tptp.bool _let_103))) (let ((_let_121 (not _let_120))) (let ((_let_122 (= _let_121 _let_119))) (let ((_let_123 (= _let_78 _let_116))) (let ((_let_124 (= _let_120 _let_123))) (let ((_let_125 (= _let_78 _let_103))) (let ((_let_126 (= tptp.false1 _let_103))) (let ((_let_127 (or _let_126 _let_125))) (let ((_let_128 (= _let_120 _let_127))) (let ((_let_129 (= _let_103 (tptp.impl _let_78 _let_103)))) (let ((_let_130 (or _let_121 _let_129))) (let ((_let_131 (= _let_78 (tptp.impl tptp.false1 _let_103)))) (let ((_let_132 (or _let_121 _let_131))) (let ((_let_133 (= _let_115 (tptp.phi _let_114)))) (let ((_let_134 (tptp.bool _let_114))) (let ((_let_135 (or _let_134 _let_133))) (let ((_let_136 (= _let_78 _let_114))) (let ((_let_137 (= tptp.false1 _let_114))) (let ((_let_138 (or _let_137 _let_136))) (let ((_let_139 (= _let_134 _let_138))) (let ((_let_140 (tptp.phi _let_78))) (let ((_let_141 (= _let_78 _let_140))) (let ((_let_142 (= _let_140 (tptp.lazy_impl _let_78 _let_78)))) (let ((_let_143 (tptp.phi tptp.false1))) (let ((_let_144 (= tptp.false1 _let_143))) (let ((_let_145 (= _let_143 (tptp.lazy_impl _let_78 tptp.false1)))) (let ((_let_146 (forall ((X $$unsorted)) (= (tptp.bool X) (or (= X tptp.false1) (= X (tptp.not1 tptp.false1))))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_35)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_45 :args ((forall ((X $$unsorted)) (= (tptp.bool X) (or (= tptp.false X) (= tptp.true X)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_148 (_let_146))) (let ((_let_149 (forall ((X $$unsorted)) (= (tptp.bool X) (= (tptp.prop X) (tptp.not1 tptp.false1)))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_26)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_45 :args ((forall ((X $$unsorted)) (= (tptp.bool X) (= tptp.true (tptp.prop X)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_151 (_let_149))) (let ((_let_152 ((tptp.bool X)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_152)) :args _let_151))) _let_150 :args (_let_85 false _let_149)))) (let ((_let_154 (not _let_85))) (let ((_let_155 (_let_85))) (let ((_let_156 (forall ((B $$unsorted)) (or (not (tptp.bool B)) (= (tptp.not1 tptp.false1) (tptp.impl tptp.false1 B)))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_22)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_45 :args ((forall ((B $$unsorted)) (or (not (tptp.bool B)) (= tptp.true (tptp.impl tptp.false B)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_158 (_let_156))) (let ((_let_159 ((not (= (tptp.bool B) false))))) (let ((_let_160 (forall ((B $$unsorted)) (or (not (tptp.bool B)) (= B (tptp.impl (tptp.not1 tptp.false1) B)))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_21)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_45 :args ((forall ((B $$unsorted)) (or (not (tptp.bool B)) (= B (tptp.impl tptp.true B)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_162 (_let_160))) (let ((_let_163 ((not (= (tptp.bool B) false))))) (let ((_let_164 (= tptp.err _let_78))) (let ((_let_165 (= tptp.err tptp.false1))) (let ((_let_166 (or _let_165 _let_164))) (let ((_let_167 (= _let_93 _let_166))) (let ((_let_168 (not _let_93))) (let ((_let_169 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.err QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_148)))) (let ((_let_170 (not _let_166))) (let ((_let_171 (2))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_34)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_45 :args ((and (not (= tptp.false tptp.true)) _let_33 _let_32) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_173 (AND_ELIM _let_172 :args _let_171))) (let ((_let_174 (AND_ELIM _let_172 :args _let_41))) (let ((_let_175 (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_164 _let_165 _let_170))))) (let ((_let_176 (REORDERING (CNF_EQUIV_POS1 :args (_let_167)) :args ((or _let_168 _let_166 (not _let_167)))))) (let ((_let_177 (MACRO_RESOLUTION_TRUST _let_176 (MACRO_RESOLUTION_TRUST _let_175 _let_174 _let_173 :args (_let_170 true _let_164 true _let_165)) (MACRO_RESOLUTION_TRUST _let_169 _let_147 :args (_let_167 false _let_146)) :args (_let_168 true _let_166 false _let_167)))) (let ((_let_178 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.bool A)) (tptp.bool B) (= (tptp.impl A B) (tptp.phi B)))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (_let_178))) (let ((_let_181 (= _let_63 _let_78))) (let ((_let_182 (= tptp.false1 _let_63))) (let ((_let_183 (or _let_182 _let_181))) (let ((_let_184 (= _let_97 _let_183))) (let ((_let_185 (not _let_95))) (let ((_let_186 (not _let_91))) (let ((_let_187 (not _let_87))) (let ((_let_188 (not _let_84))) (let ((_let_189 (not _let_80))) (let ((_let_190 (forall ((BOUND_VARIABLE_1447 $$unsorted)) (= (tptp.exists1 BOUND_VARIABLE_1447) (tptp.phi (tptp.apply BOUND_VARIABLE_1447 (skop_5 BOUND_VARIABLE_1447))))))) (let ((_let_191 (= _let_62 _let_63))) (let ((_let_192 (tptp.prop _let_63))) (let ((_let_193 (= _let_78 _let_192))) (let ((_let_194 (= _let_97 _let_193))) (let ((_let_195 (tptp.f2 _let_192 tptp.false1 _let_62))) (let ((_let_196 (= _let_195 (tptp.lazy_impl _let_83 (tptp.impl (tptp.lazy_impl _let_192 _let_86) _let_62))))) (let ((_let_197 (= tptp.false1 _let_195))) (let ((_let_198 (tptp.bool tptp.false1))) (let ((_let_199 (tptp.d _let_63))) (let ((_let_200 (not _let_36))) (let ((_let_201 (or (and _let_200 _let_199) (and _let_36 _let_199 (not _let_198) _let_97) _let_181))) (let ((_let_202 (not _let_97))) (let ((_let_203 (not _let_199))) (let ((_let_204 (or (and _let_203 _let_36) (and _let_199 _let_36 _let_202 _let_198) _let_181))) (let ((_let_205 (= _let_63 _let_105))) (let ((_let_206 (skop_3 _let_192 tptp.false1))) (let ((_let_207 (tptp.f2 _let_192 tptp.false1 _let_206))) (let ((_let_208 (= 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(REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_121 _let_131 (not _let_132)))))) (let ((_let_1334 (REFL :args _let_1199))) (let ((_let_1335 (and _let_290 _let_79 _let_205 _let_106 _let_117 _let_123 _let_133 _let_713 _let_126 _let_714 _let_717 _let_99 _let_101 _let_1263))) (let ((_let_1336 (ASSUME :args (_let_1263)))) (let ((_let_1337 (SYMM _let_1336))) (let ((_let_1338 (SYMM _let_1284))) (let ((_let_1339 (CONG _let_842 (TRANS _let_900 (CONG (TRANS _let_900 _let_858) :args _let_471) _let_1197) :args _let_338))) (let ((_let_1340 (and _let_79 _let_70 _let_205 _let_52 _let_106 _let_117 _let_123 _let_133 _let_69 _let_713 _let_126 _let_714 _let_717 _let_716 _let_697 _let_101 _let_129))) (let ((_let_1341 (CONG _let_945 _let_1003 :args _let_339))) (let ((_let_1342 (not _let_131))) (let ((_let_1343 (and _let_79 _let_205 _let_106 _let_117 _let_123 _let_133 _let_713 _let_126 _let_714 _let_717 _let_716 _let_708 _let_101 _let_1263 _let_131))) (let ((_let_1344 (TRANS _let_784 _let_527))) (let ((_let_1345 (CONG _let_1344 :args _let_471))) (let ((_let_1346 (SYMM _let_1345))) (let ((_let_1347 (ASSUME :args (_let_131)))) (let ((_let_1348 (SYMM _let_1347))) (let ((_let_1349 (SYMM _let_1348))) (let ((_let_1350 (not _let_1329))) (let ((_let_1351 (and _let_237 _let_713 _let_126 _let_837 _let_720 _let_1329))) (let ((_let_1352 (SYMM _let_1255))) (let ((_let_1353 (ASSUME :args (_let_1329)))) (let ((_let_1354 (SYMM (SYMM _let_1353)))) (let ((_let_1355 (and _let_79 _let_237 _let_144 _let_70 _let_205 _let_52 _let_106 _let_238 _let_145 _let_117 _let_123 _let_133 _let_69 _let_713 _let_126 _let_714 _let_720 _let_716 _let_697 _let_101 _let_129))) (let ((_let_1356 (and _let_237 _let_141 _let_142 _let_713 _let_126 _let_714 _let_720 _let_716 _let_708 _let_1329 _let_131))) (let ((_let_1357 (tptp.phi _let_103))) (let ((_let_1358 (= _let_1357 (tptp.lazy_impl _let_78 _let_103)))) (let ((_let_1359 (= _let_115 _let_1357))) (let ((_let_1360 (= (tptp.f2 _let_83 _let_78 _let_62) (tptp.lazy_impl 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:args ((or _let_721 _let_860))) _let_792 _let_790 _let_150 _let_789 _let_786 _let_439 _let_1136 _let_322 _let_768 _let_560 _let_770 _let_410 :args ((or _let_107 _let_1195 _let_721) false _let_714 false _let_713 false _let_117 false _let_717 false _let_719 false _let_723 true _let_722 false _let_123 false _let_124 false _let_149 false _let_120 false _let_122 false _let_438 true _let_119 false _let_113 false _let_117 false _let_10 false _let_118 false _let_409)) _let_407 _let_792 _let_790 _let_150 _let_789 _let_786 _let_439 _let_1136 _let_322 _let_768 _let_560 _let_770 _let_410 _let_1102 _let_437 _let_435 _let_56 _let_445 :args ((or _let_106 _let_1195) false _let_713 false _let_117 false _let_238 false _let_237 false _let_720 false _let_722 false _let_723 true _let_719 true _let_718 false _let_109 false _let_123 false _let_124 false _let_149 false _let_120 false _let_122 false _let_438 true _let_119 false _let_113 false _let_117 false _let_10 false _let_118 false _let_409 true _let_107 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_let_904 _let_1376) :args (_let_79 _let_125 _let_889 _let_697 _let_91 _let_87))) _let_632 (MODUS_PONENS (AND_INTRO _let_1034 _let_857 _let_886 _let_883 _let_872 _let_1143 _let_1374) (SCOPE (FALSE_ELIM (TRANS (CONG _let_946 (TRANS (CONG _let_831 (CONG _let_831 _let_1216 :args _let_1215) _let_340 :args _let_1036) (SYMM _let_1374) _let_1327 _let_884 _let_900 _let_858) :args _let_273) _let_1035)) :args (_let_837 _let_713 _let_717 _let_716 _let_125 _let_79 _let_1266)))) :args (_let_79 _let_141 _let_87 _let_91 _let_713 _let_125 _let_837 _let_717 _let_716 _let_697 _let_889 _let_252 _let_1266)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_615))) (TRUE_INTRO (TRANS _let_352 (SYMM (TRANS _let_688 _let_684 _let_674 _let_433 _let_352)))))) :args (_let_141 _let_223 _let_651 _let_644 _let_252 _let_614)) :args ((not (and _let_79 _let_141 _let_87 _let_91 _let_713 _let_125 _let_837 _let_717 _let_716 _let_697 _let_889 _let_252 _let_1266)) SB_LITERAL))) (CONG _let_1142 _let_509 _let_939 _let_623 _let_855 _let_938 _let_1031 _let_899 _let_898 _let_937 _let_896 _let_619 (REFL :args (_let_1373)) :args _let_261)) :args ((or _let_1141 _let_467 _let_187 _let_186 _let_854 _let_136 _let_848 _let_870 _let_869 _let_765 _let_895 _let_618 _let_1373))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_611 :args (skv_9 _let_695 _let_62 QUANTIFIERS_INST_E_MATCHING _let_1026)) :args _let_610))) _let_611 :args (_let_1266 false _let_12)) _let_613 _let_867 _let_850 _let_326 _let_767 _let_1077 _let_866 _let_864 _let_863 _let_861 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1368)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1366 _let_872 _let_357 _let_1143 _let_353 _let_341 _let_350 _let_347 _let_1369 _let_943 _let_1370 _let_834 _let_883 _let_1001 _let_857 _let_1196 _let_1091 _let_584 _let_586) (SCOPE (TRANS _let_1196 (SYMM _let_1254) _let_1258 (CONG _let_834 _let_1256 :args _let_338) (CONG _let_994 (TRANS (CONG 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_let_570 _let_467 _let_188 _let_187 _let_186 _let_569 _let_480 _let_1359 _let_820 _let_1195 (not _let_1360) _let_854 _let_848 _let_1363 _let_999 _let_851 _let_869 (not _let_1361) _let_765))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_83 _let_696 _let_62 QUANTIFIERS_INST_E_MATCHING _let_335)) :args _let_333)) _let_334 :args (_let_1361 false _let_16)) _let_867 _let_998 _let_1362 _let_850 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_83 _let_78 _let_62 QUANTIFIERS_INST_E_MATCHING _let_335)) :args _let_333)) _let_334 :args (_let_1360 false _let_16)) _let_332 _let_545 _let_326 _let_543 _let_767 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1365)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_383 _let_584 _let_1091 _let_857 _let_1196 _let_350 _let_347 _let_872 _let_1366) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_1198 (CONG (TRANS _let_888 (SYMM _let_1093)) :args _let_471) _let_1352) (TRANS (SYMM _let_1367) (CONG _let_946 (SYMM _let_874) :args _let_338) _let_348 _let_351) :args _let_273) _let_384)) :args (_let_379 _let_237 _let_720 _let_713 _let_133 _let_141 _let_142 _let_125 _let_1358))) :args (_let_379 _let_237 _let_141 _let_142 _let_133 _let_713 _let_125 _let_1358 _let_720))) :args (true _let_1365)) (CONG _let_380 _let_581 _let_509 _let_1081 _let_1334 _let_855 _let_938 (REFL :args (_let_1363)) _let_852 (REFL :args (_let_1364)) :args _let_261)) :args ((or _let_164 _let_570 _let_467 _let_480 _let_1195 _let_1364 _let_854 _let_848 _let_1363 _let_851))) _let_1362 _let_850 _let_332 _let_326 _let_543 _let_174 (MACRO_RESOLUTION_TRUST _let_1025 _let_1024 _let_1101 _let_1027 _let_998 _let_332 _let_1098 _let_1023 _let_519 _let_1042 _let_1041 _let_1046 _let_1043 _let_1094 :args ((or _let_187 _let_848 _let_851 _let_868) false _let_738 true _let_736 false _let_734 false _let_714 false _let_142 true _let_316 false _let_733 false _let_232 false _let_731 false _let_732 false _let_727 false _let_729 true _let_726)) _let_758 _let_757 _let_147 _let_756 _let_753 _let_749 _let_748 _let_747 _let_746 _let_745 _let_422 _let_744 _let_404 _let_1270 _let_518 _let_502 _let_500 _let_517 _let_284 _let_283 _let_59 _let_56 _let_282 _let_1177 _let_174 _let_260 _let_258 :args ((or _let_1141 _let_188 _let_187 _let_186 _let_820 _let_1195 _let_848 _let_851) false _let_1361 false _let_716 false _let_714 false _let_1358 false _let_713 false _let_1360 false _let_142 false _let_238 false _let_141 false _let_237 false _let_697 true _let_1359 false _let_1358 false _let_713 false _let_142 false _let_141 false _let_237 true _let_164 true _let_708 false _let_709 false _let_710 false _let_146 false _let_699 false _let_701 true _let_704 false _let_39 true _let_702 true _let_705 true _let_706 false _let_256 false _let_707 false _let_403 false _let_693 false _let_232 false _let_498 false _let_499 true _let_497 false _let_52 false _let_53 false _let_54 false _let_55 true _let_51 true _let_49 true _let_164 false _let_70 false _let_190)) _let_844 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1356)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_827 _let_857 _let_1091 _let_1353 _let_584 _let_1001 _let_883 _let_881 _let_1347 _let_347 _let_350) (SCOPE (TRANS _let_352 _let_349 (CONG _let_946 (TRANS _let_1349 _let_1005 _let_884) :args _let_338) _let_1002 _let_1092 _let_1255 _let_1354 (CONG _let_828 _let_1253 :args _let_339)) :args (_let_126 _let_713 _let_720 _let_1329 _let_237 _let_714 _let_716 _let_708 _let_131 _let_142 _let_141))) :args (_let_237 _let_141 _let_142 _let_713 _let_126 _let_714 _let_720 _let_716 _let_708 _let_1329 _let_131))) :args (true _let_1356)) :args ((or _let_570 _let_467 _let_480 _let_854 _let_821 _let_999 _let_851 _let_869 _let_868 _let_1289 _let_1350 _let_1342))) _let_867 _let_998 _let_850 _let_332 _let_326 _let_543 _let_767 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1355)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1180 _let_428 _let_277 _let_1143 _let_1280 _let_388 _let_526 _let_781 _let_834 _let_1196 _let_857 _let_1091 _let_584 _let_586 _let_1001 _let_883 _let_943 _let_1320 _let_827 _let_360 _let_363) (SCOPE (TRANS _let_365 _let_362 (CONG _let_946 (TRANS _let_829 _let_1322 _let_1341 _let_884) :args _let_338) _let_1002 _let_1092 _let_1255 _let_1258 _let_1257 _let_782 _let_528 _let_1319 _let_1282 _let_1318 _let_1182 _let_1181) :args (_let_69 _let_52 _let_70 _let_79 _let_101 _let_205 _let_106 _let_117 _let_123 _let_133 _let_713 _let_720 _let_237 _let_238 _let_714 _let_716 _let_697 _let_129 _let_126 _let_145 _let_144))) :args (_let_79 _let_237 _let_144 _let_70 _let_205 _let_52 _let_106 _let_238 _let_145 _let_117 _let_123 _let_133 _let_69 _let_713 _let_126 _let_714 _let_720 _let_716 _let_697 _let_101 _let_129))) :args (true _let_1355)) :args ((or _let_1141 _let_570 _let_468 _let_264 _let_376 _let_72 _let_520 _let_569 _let_466 _let_774 _let_820 _let_1195 _let_1274 _let_854 _let_821 _let_999 _let_851 _let_869 _let_765 _let_1161 _let_1267 _let_1316))) _let_867 _let_998 _let_850 _let_1272 _let_769 _let_331 _let_545 _let_314 _let_543 _let_373 _let_420 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1351)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1034 _let_857 _let_1091 _let_584 _let_1353 _let_827) (SCOPE (FALSE_ELIM (TRANS (CONG _let_946 (TRANS (CONG _let_829 (TRANS _let_857 _let_1092) :args _let_339) (SYMM _let_1354) _let_1352 _let_1093 _let_858) :args _let_273) _let_1035)) :args (_let_837 _let_713 _let_720 _let_237 _let_1329 _let_126))) :args (_let_237 _let_713 _let_126 _let_837 _let_720 _let_1329))) :args (true _let_1351)) (CONG _let_581 _let_855 _let_1120 _let_1031 _let_852 (REFL :args (_let_1350)) _let_1297 :args _let_261)) :args ((or _let_570 _let_854 _let_136 _let_821 _let_851 _let_1293 _let_1350))) _let_850 _let_543 _let_861 _let_864 _let_863 _let_866 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1343)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_857 _let_1001 _let_834 _let_886 _let_1196 _let_781 _let_526 _let_388 _let_1280 _let_1143 _let_827 _let_1336 _let_883 _let_881 _let_1347) (SCOPE (TRANS _let_1349 _let_1005 _let_884 _let_886 _let_1001 (SYMM _let_1229) _let_782 _let_526 _let_1346 (SYMM _let_1337) (CONG _let_828 (TRANS _let_784 _let_1346 _let_1280 _let_1338) :args _let_339) (CONG _let_1006 (TRANS _let_1284 _let_1281 _let_1345 _let_527 _let_783 _let_1229 _let_1002 _let_858) :args _let_339)) :args (_let_713 _let_714 _let_123 _let_717 _let_133 _let_117 _let_106 _let_205 _let_101 _let_79 _let_126 _let_1263 _let_716 _let_708 _let_131))) :args (_let_79 _let_205 _let_106 _let_117 _let_123 _let_133 _let_713 _let_126 _let_714 _let_717 _let_716 _let_708 _let_101 _let_1263 _let_131))) :args (true _let_1343)) :args ((or _let_1141 _let_376 _let_520 _let_774 _let_820 _let_1195 _let_854 _let_821 _let_999 _let_870 _let_869 _let_868 _let_1267 _let_1289 _let_1331 _let_1342))) _let_867 _let_998 _let_850 _let_769 _let_373 _let_767 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1340)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1180 _let_428 _let_277 _let_1143 _let_1280 _let_388 _let_526 _let_781 _let_834 _let_1196 _let_857 _let_886 _let_1001 _let_883 _let_943 _let_1320 _let_827) (SCOPE (TRANS _let_829 _let_1322 _let_1341 _let_884 _let_900 _let_1090 _let_1339 _let_782 _let_528 _let_1319 _let_1282 _let_1318 _let_1182 _let_1181) :args (_let_69 _let_52 _let_70 _let_79 _let_101 _let_205 _let_106 _let_117 _let_123 _let_133 _let_713 _let_717 _let_714 _let_716 _let_697 _let_129 _let_126))) :args (_let_79 _let_70 _let_205 _let_52 _let_106 _let_117 _let_123 _let_133 _let_69 _let_713 _let_126 _let_714 _let_717 _let_716 _let_697 _let_101 _let_129))) :args (true _let_1340)) :args ((or _let_1141 _let_264 _let_376 _let_72 _let_520 _let_774 _let_820 _let_1195 _let_1274 _let_854 _let_821 _let_999 _let_870 _let_869 _let_765 _let_1161 _let_1267 _let_1316))) _let_867 _let_998 _let_850 _let_1272 _let_769 _let_373 _let_420 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1335)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_294 _let_1143 _let_388 _let_526 _let_1313 _let_1336 _let_827 _let_1280 _let_781 _let_834 _let_1196 _let_857 _let_886 _let_1001) (SCOPE (FALSE_ELIM (TRANS (CONG _let_1144 (SYMM (TRANS (SYMM (TRANS _let_1311 _let_1314 _let_1279 _let_389)) (SYMM (TRANS (CONG _let_1006 (TRANS _let_857 _let_1090 _let_1339 _let_782 _let_528 (SYMM _let_1279) _let_1282 _let_1338) :args _let_339) (CONG _let_829 (TRANS _let_1284 _let_1283 _let_1279 _let_389) :args _let_339) _let_1337 _let_1313 _let_1312)))) :args _let_273) _let_295)) :args (_let_290 _let_79 _let_205 _let_106 _let_99 _let_1263 _let_126 _let_101 _let_117 _let_123 _let_133 _let_713 _let_717 _let_714))) :args (_let_290 _let_79 _let_205 _let_106 _let_117 _let_123 _let_133 _let_713 _let_126 _let_714 _let_717 _let_99 _let_101 _let_1263))) :args (true _let_1335)) (CONG _let_291 _let_1142 _let_377 _let_622 _let_1122 _let_1121 _let_1334 _let_855 _let_1120 _let_1080 _let_899 _let_1299 _let_1275 (REFL :args (_let_1331)) _let_1297 :args _let_261)) :args ((or _let_191 _let_1141 _let_376 _let_520 _let_774 _let_820 _let_1195 _let_854 _let_821 _let_999 _let_870 _let_1268 _let_1267 _let_1293 _let_1331))) _let_998 _let_850 _let_769 _let_373 _let_286 _let_1296 _let_1295 _let_161 _let_758 _let_757 _let_147 _let_756 _let_753 _let_749 _let_748 _let_747 _let_746 _let_745 _let_422 _let_744 _let_404 _let_1270 _let_518 _let_502 _let_500 _let_517 _let_284 _let_283 _let_59 _let_282 _let_1177 _let_174 _let_260 _let_258 _let_792 _let_790 _let_150 _let_1333 _let_1332 _let_157 _let_789 _let_786 _let_439 _let_785 _let_372 _let_370 _let_768 _let_560 _let_770 _let_410 _let_1146 _let_286 _let_325 _let_324 _let_320 _let_56 _let_323 _let_322 :args ((or _let_1141 _let_520 _let_1195 _let_821 _let_870 _let_1161 _let_1268 _let_1267 _let_1331) false _let_716 false _let_714 false _let_713 false _let_117 false _let_205 false _let_708 true _let_697 false _let_716 false _let_714 false _let_713 false _let_69 false _let_117 false _let_205 false _let_70 true _let_1289 false _let_714 false _let_713 false _let_117 false _let_205 true _let_191 false _let_129 false _let_130 false _let_160 false _let_709 false _let_710 false _let_146 false _let_699 false _let_701 true _let_704 false _let_39 true _let_702 true _let_705 true _let_706 false _let_256 false _let_707 false _let_403 false _let_693 false _let_232 false _let_498 false _let_499 true _let_497 false _let_52 false _let_53 false _let_54 true _let_51 true _let_49 true _let_164 false _let_70 false _let_190 false _let_123 false _let_124 false _let_149 false _let_131 false _let_132 false _let_156 false _let_120 false _let_122 false _let_438 true _let_119 false _let_205 false _let_367 false _let_117 false _let_10 false _let_118 false _let_409 true _let_181 true _let_191 false _let_141 false _let_315 false _let_319 false _let_55 true _let_318 false _let_113)) _let_792 _let_790 _let_150 _let_1296 _let_1295 _let_161 _let_758 _let_757 _let_756 _let_753 _let_749 _let_748 _let_747 _let_746 _let_745 _let_422 _let_744 _let_404 _let_1270 _let_518 _let_502 _let_500 _let_517 _let_284 _let_283 _let_59 _let_282 _let_1177 _let_260 _let_258 (REORDERING (CNF_OR_POS :args (_let_1330)) :args ((or _let_93 _let_121 _let_1329 (not _let_1330)))) _let_176 _let_175 _let_174 _let_173 _let_169 _let_147 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_103 tptp.err QUANTIFIERS_INST_CBQI_PROP)) :args _let_180))) _let_179 _let_1333 _let_1332 _let_157 _let_789 _let_786 _let_439 _let_785 _let_372 _let_370 _let_768 _let_560 _let_770 _let_410 _let_1146 _let_286 _let_325 _let_324 _let_320 _let_56 _let_323 _let_322 :args ((or _let_1141 _let_520 _let_1195 _let_136 _let_821 _let_1161 _let_1268 _let_1267 _let_1331) false _let_716 false _let_714 false _let_713 false _let_142 false _let_141 false _let_237 false _let_708 true _let_697 false _let_716 false _let_714 false _let_713 false _let_69 false _let_117 false _let_145 false _let_238 false _let_144 false _let_237 false _let_205 false _let_70 true _let_1289 false _let_713 false _let_237 false _let_720 false _let_722 false _let_723 true _let_719 true _let_717 false _let_123 false _let_124 false _let_149 false _let_129 false _let_130 false _let_160 false _let_709 false _let_710 false _let_699 false _let_701 true _let_704 false _let_39 true _let_702 true _let_705 true _let_706 false _let_256 false _let_707 false _let_403 false _let_693 false _let_232 false _let_498 false _let_499 true _let_497 false _let_52 false _let_53 false _let_54 true _let_51 true _let_49 false _let_70 false _let_190 false _let_1329 true _let_93 true _let_166 true _let_164 true _let_165 false _let_167 false _let_146 false _let_1330 false _let_178 false _let_131 false _let_132 false _let_156 false _let_120 false _let_122 false _let_438 true _let_119 false _let_205 false _let_367 false _let_117 false _let_10 false _let_118 false _let_409 true _let_181 true _let_191 false _let_141 false _let_315 false _let_319 false _let_55 true _let_318 false _let_113)) _let_997 (REORDERING (CNF_OR_POS :args (_let_1264)) :args ((or _let_97 _let_121 _let_1263 (not _let_1264)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_103 _let_63 QUANTIFIERS_INST_CBQI_PROP)) :args _let_180))) _let_179 :args (_let_1264 false _let_178)) _let_796 _let_795 _let_792 _let_791 (REORDERING (CNF_EQUIV_POS2 :args _let_1244) :args ((or _let_134 _let_818 _let_1242))) _let_1241 _let_1247 _let_1246 _let_789 _let_787 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_1326)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_872 _let_1143 _let_600 _let_357 _let_857 _let_1001 _let_883 _let_839 _let_341 _let_353 _let_347 _let_350) (SCOPE (TRANS _let_352 _let_349 (CONG _let_357 (TRANS _let_1144 _let_353 (CONG _let_1235 _let_340 :args _let_339) (CONG _let_1233 _let_1222 :args _let_339) (CONG (TRANS _let_841 (SYMM _let_1328)) _let_1219 :args _let_339) (CONG _let_1328 _let_1216 :args _let_339) (CONG (CONG _let_831 _let_1237 :args _let_826) _let_1237 :args _let_339)) :args _let_338) _let_601 (CONG _let_831 _let_1216 :args _let_1323)) :args (_let_125 _let_79 _let_244 _let_84 _let_713 _let_714 _let_716 _let_136 _let_87 _let_91 _let_142 _let_141))) :args (_let_79 _let_141 _let_84 _let_87 _let_91 _let_142 _let_713 _let_125 _let_136 _let_714 _let_716 _let_244))) :args (true _let_1326)) _let_563 _let_867 _let_998 _let_850 _let_332 _let_326 _let_836 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1315 (MODUS_PONENS (AND_INTRO _let_388 _let_526 _let_1280 _let_1143 _let_824 _let_1306 _let_872 _let_600 _let_357 _let_857 _let_1001 _let_883 _let_341 _let_347 _let_350) (SCOPE (TRANS _let_352 _let_349 (CONG _let_357 (TRANS _let_341 _let_1223 (CONG (TRANS _let_876 (SYMM _let_1325)) _let_1219 :args _let_339) (CONG _let_1325 _let_1225 :args _let_339) (CONG (CONG _let_831 _let_1227 :args _let_826) _let_1227 :args _let_339)) :args _let_338) _let_601 (CONG _let_831 _let_1225 :args _let_1323) _let_526 _let_1309 _let_1308 _let_1305 _let_1303) :args (_let_205 _let_106 _let_101 _let_79 _let_137 _let_1287 _let_125 _let_244 _let_84 _let_713 _let_714 _let_716 _let_87 _let_142 _let_141)))) :args (_let_290 _let_79 _let_141 _let_84 _let_87 _let_205 _let_106 _let_142 _let_713 _let_125 _let_137 _let_714 _let_716 _let_244 _let_99 _let_101 _let_1287)) _let_1300 :args ((not (and _let_290 _let_79 _let_141 _let_84 _let_87 _let_205 _let_106 _let_142 _let_713 _let_125 _let_137 _let_714 _let_716 _let_244 _let_99 _let_101 _let_1287)) SB_LITERAL))) (CONG _let_291 _let_1142 _let_509 _let_580 _let_939 _let_377 _let_622 _let_1081 _let_855 _let_938 _let_853 _let_1080 _let_898 _let_572 _let_1299 _let_1275 _let_1298 :args _let_261)) _let_563 _let_867 _let_998 _let_850 _let_332 _let_326 _let_373 _let_286 _let_844 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1317)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1180 _let_428 _let_277 _let_1143 _let_1280 _let_388 _let_526 _let_781 _let_834 _let_839 _let_1320 _let_827 _let_360 _let_363) (SCOPE (TRANS _let_365 _let_362 (CONG _let_842 (TRANS _let_829 _let_1322 (CONG _let_841 _let_1003 :args _let_339)) :args _let_338) _let_782 _let_528 _let_1319 _let_1282 _let_1318 _let_1182 _let_1181) :args (_let_69 _let_52 _let_70 _let_79 _let_101 _let_205 _let_106 _let_117 _let_123 _let_136 _let_129 _let_126 _let_145 _let_144))) :args (_let_79 _let_144 _let_70 _let_205 _let_52 _let_106 _let_145 _let_117 _let_123 _let_69 _let_126 _let_136 _let_101 _let_129))) :args (true _let_1317)) :args ((or _let_1141 _let_468 _let_264 _let_376 _let_72 _let_520 _let_466 _let_774 _let_820 _let_1274 _let_821 _let_837 _let_1161 _let_1267 _let_1316))) _let_1272 _let_769 _let_331 _let_314 _let_373 _let_420 _let_836 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1315 (MODUS_PONENS (AND_INTRO _let_388 _let_526 _let_1280 _let_1143 _let_824 _let_1306 _let_781 _let_834 _let_827 _let_1310 _let_347 _let_350) (SCOPE (TRANS _let_352 _let_349 (CONG _let_842 (TRANS (SYMM (SYMM _let_1310)) (CONG _let_1006 (TRANS _let_1202 _let_829) :args _let_339) (CONG _let_876 _let_1003 :args _let_339)) :args _let_338) _let_782 _let_526 _let_1309 _let_1308 _let_1305 _let_1303) :args (_let_205 _let_106 _let_101 _let_79 _let_137 _let_1287 _let_117 _let_123 _let_126 _let_1289 _let_142 _let_141)))) :args (_let_290 _let_79 _let_141 _let_205 _let_106 _let_142 _let_117 _let_123 _let_126 _let_137 _let_99 _let_101 _let_1287 _let_1289)) _let_1300 :args ((not (and _let_290 _let_79 _let_141 _let_205 _let_106 _let_142 _let_117 _let_123 _let_126 _let_137 _let_99 _let_101 _let_1287 _let_1289)) SB_LITERAL))) (CONG _let_291 _let_1142 _let_509 _let_377 _let_622 _let_1081 _let_1122 _let_1121 _let_1120 _let_853 _let_1299 _let_1275 _let_1298 _let_1297 :args _let_261)) _let_769 _let_332 _let_326 _let_373 _let_286 _let_284 _let_283 _let_59 _let_282 _let_1177 _let_174 _let_260 _let_258 _let_792 _let_790 _let_150 _let_1296 _let_1295 _let_161 _let_789 _let_786 _let_439 _let_785 _let_372 _let_370 _let_768 _let_560 _let_770 _let_410 _let_1146 _let_286 _let_325 _let_324 _let_320 _let_56 _let_323 _let_322 :args ((or _let_1141 _let_520 _let_821 _let_818 _let_1161 _let_1268 _let_1267 _let_1294 _let_1293) false _let_69 false _let_117 false _let_145 false _let_144 false _let_205 false _let_70 false _let_136 true _let_137 false _let_117 false _let_142 false _let_141 false _let_205 true _let_191 false _let_52 false _let_53 false _let_54 true _let_51 true _let_49 true _let_164 false _let_70 false _let_190 false _let_123 false _let_124 false _let_149 false _let_129 false _let_130 false _let_160 false _let_120 false _let_122 false _let_438 true _let_119 false _let_205 false _let_367 false _let_117 false _let_10 false _let_118 false _let_409 true _let_181 true _let_191 false _let_141 false _let_315 false _let_319 false _let_55 true _let_318 false _let_113)) (REORDERING (CNF_OR_POS :args (_let_1290)) :args ((or _let_1243 _let_1289 (not _let_1290)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_1240) :args _let_158)) _let_157 :args (_let_1290 false _let_156)) (REORDERING (CNF_OR_POS :args (_let_1288)) :args ((or _let_97 _let_1243 _let_1287 (not _let_1288)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_114 _let_63 QUANTIFIERS_INST_CBQI_PROP)) :args _let_180))) _let_179 :args (_let_1288 false _let_178)) _let_1245 _let_1241 _let_1286 _let_1178 _let_611 _let_1271 _let_691 _let_299 _let_1260 _let_284 _let_283 _let_59 _let_282 _let_1177 _let_174 _let_260 _let_258 _let_796 _let_794 _let_147 _let_789 _let_786 _let_439 _let_785 _let_768 _let_560 _let_770 _let_410 _let_1146 _let_325 _let_324 _let_320 _let_56 _let_323 _let_322 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1291)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_294 _let_1143 _let_388 _let_526) (SCOPE (FALSE_ELIM (TRANS (CONG _let_1144 _let_627 :args _let_273) _let_295)) :args _let_1292)) :args _let_1292)) :args (true _let_1291)) (CONG _let_291 _let_1142 _let_377 _let_622 (REFL :args ((not _let_483))) :args _let_261)) _let_286 _let_372 _let_370 :args ((or _let_1141 _let_188 _let_187 _let_186 _let_520 _let_1243 _let_1268 _let_1267) false _let_244 false _let_716 false _let_714 false _let_713 false _let_142 false _let_141 false _let_136 true _let_137 false _let_244 false _let_716 false _let_714 false _let_713 false _let_142 false _let_141 false _let_205 true _let_191 false _let_125 true _let_126 false _let_1289 false _let_1290 false _let_1287 false _let_1288 false _let_138 false _let_139 true _let_1161 false _let_69 false _let_12 true _let_182 true _let_183 false _let_184 true _let_97 false _let_52 false _let_53 false _let_54 true _let_51 true _let_49 true _let_164 false _let_70 false _let_190 false _let_127 false _let_128 false _let_146 false _let_120 false _let_122 false _let_438 true _let_119 false _let_117 false _let_10 false _let_118 false _let_409 true _let_181 false _let_141 false _let_315 false _let_319 false _let_55 true _let_318 false _let_113 true _let_483 true _let_191 false _let_205 false _let_367)) _let_1286 _let_1272 _let_373 _let_420 _let_785 _let_771 _let_769 _let_373 _let_1146 _let_286 _let_325 _let_324 _let_320 _let_323 _let_322 _let_1271 _let_691 _let_299 _let_1260 _let_758 _let_757 _let_147 _let_756 _let_747 _let_1270 _let_518 _let_502 _let_500 _let_517 _let_284 _let_908 _let_911 _let_910 (REORDERING (CNF_AND_POS :args (_let_892 0)) :args ((or _let_703 _let_909))) _let_753 _let_749 _let_746 _let_745 _let_422 _let_744 _let_404 _let_748 _let_283 _let_59 _let_56 _let_282 _let_1177 _let_174 _let_260 _let_258 :args ((or _let_1141 _let_188 _let_187 _let_186 _let_520 _let_1268 _let_1267) false _let_1266 false _let_252 false _let_716 false _let_713 false _let_141 false _let_697 true _let_708 false _let_717 false _let_719 false _let_723 true _let_722 true _let_720 false _let_125 true _let_126 true _let_136 false _let_1263 false _let_1264 false _let_127 false _let_128 false _let_123 false _let_124 true _let_138 false _let_139 false _let_133 false _let_135 false _let_120 false _let_122 true _let_134 true _let_1161 false _let_69 false _let_205 false _let_70 true _let_119 false _let_118 false _let_117 false _let_205 true _let_181 true _let_191 false _let_141 false _let_315 false _let_319 true _let_318 false _let_113 true _let_182 true _let_183 false _let_184 true _let_97 false _let_709 false _let_710 false _let_146 false _let_699 true _let_702 false _let_693 false _let_232 false _let_498 false _let_499 true _let_497 false _let_52 false _let_889 false _let_891 false _let_893 true _let_892 false _let_701 true _let_704 true _let_705 true _let_706 false _let_256 false _let_707 false _let_403 false _let_39 false _let_53 false _let_54 false _let_55 true _let_51 true _let_49 true _let_164 false _let_70 false _let_190)) (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_88 _let_97 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_179 :args _let_77) :args _let_180))) _let_179 :args (_let_102 false _let_178)) (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_88 _let_97 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_1262 :args _let_77) :args (_let_1261)))) _let_1262 :args (_let_100 false _let_1261)) _let_1260 (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_79 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST _let_1136 _let_771 _let_769 _let_322 _let_789 _let_787 (MACRO_RESOLUTION_TRUST _let_1025 _let_1024 _let_1101 _let_1027 _let_998 _let_332 _let_1098 _let_1023 _let_519 _let_1042 _let_1041 _let_1046 _let_1043 _let_1094 _let_861 _let_864 _let_863 _let_866 _let_1077 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1134 _let_350 _let_347 _let_834 _let_921 _let_989 _let_341 _let_839 _let_872 _let_781 _let_1130) :args (_let_113 _let_141 _let_87 _let_110 _let_142 _let_117 _let_123 _let_125 _let_136 _let_913 _let_799)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_1131 (CONG (TRANS _let_783 (CONG _let_835 (TRANS _let_993 _let_991 _let_990 _let_922) :args _let_338) _let_348 _let_351) :args _let_1127) _let_1135)) :args (_let_113 _let_141 _let_142 _let_123 _let_799 _let_913 _let_87 _let_136 _let_125 _let_117 _let_110)) :args ((not (and _let_113 _let_141 _let_87 _let_110 _let_142 _let_117 _let_123 _let_125 _let_136 _let_913 _let_799)) SB_LITERAL))) (CONG _let_1133 _let_509 _let_939 _let_1123 _let_1081 _let_1122 _let_1121 _let_938 _let_1132 _let_936 _let_920 :args _let_261)) _let_769 _let_332 _let_326 _let_322 _let_844 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1125 _let_274 _let_363 _let_360 _let_357 _let_834 _let_353 _let_350 _let_347 _let_341 _let_827 _let_881 _let_883 _let_1001 _let_857 _let_781 _let_1130) :args (_let_36 _let_80 _let_144 _let_141 _let_84 _let_87 _let_91 _let_110 _let_145 _let_142 _let_117 _let_123 _let_713 _let_126 _let_714 _let_716 _let_708)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_1131 (CONG (TRANS _let_783 (CONG _let_994 (TRANS (CONG (SYMM _let_1129) _let_1128 :args _let_339) (CONG (TRANS _let_1129 (TRANS _let_888 _let_1090 (CONG _let_946 (TRANS _let_885 _let_1089 (CONG _let_1006 _let_1128 :args _let_339) _let_342) :args _let_338) _let_348 _let_351)) _let_340 :args _let_339) _let_354) :args _let_338) _let_628 _let_361 _let_364 _let_274) :args _let_1127) (CONG _let_275 :args _let_1127) _let_1126)) :args (_let_36 _let_80 _let_144 _let_145 _let_84 _let_123 _let_91 _let_141 _let_142 _let_87 _let_126 _let_708 _let_716 _let_714 _let_713 _let_117 _let_110)) :args ((not (and _let_36 _let_80 _let_144 _let_141 _let_84 _let_87 _let_91 _let_110 _let_145 _let_142 _let_117 _let_123 _let_713 _let_126 _let_714 _let_716 _let_708)) SB_LITERAL))) (CONG _let_1124 _let_266 _let_624 _let_509 _let_580 _let_939 _let_623 _let_1123 _let_621 _let_1081 _let_1122 _let_1121 _let_855 _let_1120 _let_1080 _let_898 _let_1030 :args _let_261)) _let_867 _let_998 _let_850 _let_769 _let_332 _let_331 _let_326 _let_314 _let_47 _let_796 _let_795 _let_792 _let_791 _let_927 _let_925 _let_161 _let_924 _let_518 _let_502 _let_517 _let_949 _let_947 _let_157 _let_954 _let_950 _let_439 _let_987 _let_958 _let_956 _let_960 _let_410 (CNF_AND_NEG :args (_let_1105)) (CNF_OR_NEG :args (_let_1108 2)) (REORDERING (CNF_EQUIV_POS2 :args (_let_1110)) :args ((or _let_1109 (not _let_1108) (not _let_1110)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1119) :args (_let_78 tptp.false1 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f1 BOUND_VARIABLE_1326 BOUND_VARIABLE_1328 R1)))) :args _let_1119)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_17)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P $$unsorted) (Q $$unsorted)) (not (forall ((R $$unsorted)) (or (not (= (tptp.and2 P Q) (tptp.phi (tptp.f1 P Q R)))) (not (forall ((R1 $$unsorted)) (not (tptp.forallprefers (tptp.f1 P Q R1) (tptp.f1 P Q R))))))))) (and (forall ((BOUND_VARIABLE_1315 $$unsorted) (BOUND_VARIABLE_1317 $$unsorted)) (= (tptp.and2 BOUND_VARIABLE_1315 BOUND_VARIABLE_1317) (tptp.phi (tptp.f1 BOUND_VARIABLE_1315 BOUND_VARIABLE_1317 (skop_2 BOUND_VARIABLE_1315 BOUND_VARIABLE_1317))))) _let_1111)))))) :args _let_41) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_398 :args (_let_1103 _let_808 QUANTIFIERS_INST_CBQI_PROP)) :args _let_399))) _let_398 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_976 _let_363 _let_970 _let_341 _let_353 _let_1116 _let_360 _let_967 _let_973 _let_357 _let_274) (SCOPE (TRANS _let_365 _let_362 _let_359 (CONG _let_356 (TRANS _let_355 (CONG (TRANS _let_967 _let_978 _let_974 (SYMM _let_977) (CONG _let_946 (TRANS _let_975 _let_972 _let_968 _let_343) :args _let_339)) _let_340 :args _let_339)) :args _let_338) _let_1117) :args (_let_815 _let_144 _let_804 _let_87 _let_91 _let_1112 _let_145 _let_810 _let_809 _let_84 _let_80))) :args (_let_80 _let_144 _let_84 _let_87 _let_91 _let_145 _let_1112 _let_809 _let_815 _let_804 _let_810))) :args (true _let_1118)) :args ((or _let_189 _let_468 _let_188 _let_187 _let_186 _let_466 _let_1114 _let_965 _let_1104 _let_964 _let_963 _let_962))) _let_961 _let_959 _let_1113 _let_331 _let_314 _let_982 _let_981 _let_984 _let_983 _let_985 _let_987 _let_961 _let_959 _let_954 _let_951 _let_949 _let_948 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1116 _let_341 _let_921 _let_989 _let_353 _let_357 _let_274 _let_360 _let_363) (SCOPE (TRANS _let_365 _let_362 _let_359 (CONG _let_356 (TRANS _let_355 (CONG (TRANS (TRANS _let_921 (SYMM _let_990)) (CONG _let_946 (TRANS _let_922 _let_343) :args _let_339)) _let_340 :args _let_339)) :args _let_338) _let_1117) :args (_let_1112 _let_87 _let_799 _let_913 _let_91 _let_84 _let_80 _let_145 _let_144))) :args (_let_80 _let_144 _let_84 _let_87 _let_91 _let_145 _let_1112 _let_913 _let_799))) :args (true _let_1115)) :args ((or _let_189 _let_468 _let_188 _let_187 _let_186 _let_466 _let_1114 _let_1104 _let_934 _let_919))) _let_1113 _let_331 _let_314 _let_927 _let_926 _let_924 _let_519 :args ((or _let_189 _let_188 _let_187 _let_186 _let_1104 _let_919) false _let_1112 false _let_145 false _let_144 false _let_913 false _let_915 false _let_912 false _let_232)) :args ((or _let_189 _let_188 _let_187 _let_186 _let_1104) false _let_810 false _let_809 false _let_1112 false _let_145 false _let_144 false _let_815 false _let_817 false _let_813 false _let_814 false _let_812 false _let_811 false _let_810 false _let_809 false _let_804 false _let_805 true _let_800 false _let_802 true _let_799)) _let_767 _let_766 _let_763 _let_762 _let_758 _let_757 _let_147 _let_756 _let_753 _let_749 _let_748 _let_747 _let_746 _let_745 _let_422 _let_744 _let_404 _let_743 _let_742 _let_500 _let_741 _let_506 _let_284 _let_283 _let_59 _let_56 _let_282 _let_280 _let_173 _let_260 _let_258 :args ((or _let_189 _let_188 _let_187 _let_186 _let_107 _let_121) false _let_738 true _let_736 false _let_734 false _let_714 false _let_142 true _let_316 false _let_733 false _let_232 false _let_731 false _let_732 false _let_727 false _let_729 true _let_726 false _let_720 false _let_722 false _let_723 true _let_719 true _let_717 true _let_136 false _let_117 false _let_142 false _let_141 false _let_113 false _let_125 true _let_126 false _let_716 false _let_714 false _let_713 false _let_117 false _let_142 false _let_145 false _let_141 false _let_144 false _let_36 false _let_127 false _let_128 false _let_123 false _let_124 false _let_913 false _let_915 false _let_160 false _let_912 false _let_232 false _let_498 true _let_497 false _let_799 false _let_802 false _let_156 false _let_800 false _let_805 false _let_438 true _let_804 false _let_809 false _let_18 false _let_810 false _let_409 true _let_811 true _let_1105 true _let_1108 true _let_1109 false _let_1111 false _let_1110 false _let_397 false _let_1104 false _let_708 true _let_697 true _let_698 false _let_40 false _let_709 false _let_710 false _let_146 false _let_699 false _let_701 true _let_704 false _let_39 true _let_702 true _let_705 true _let_706 false _let_256 false _let_707 false _let_403 false _let_693 false _let_694 false _let_499 true _let_692 true _let_503 false _let_52 false _let_53 false _let_54 false _let_55 true _let_51 true _let_49 true _let_165 false _let_70 false _let_190)) _let_1102 _let_437 _let_436 _let_445 (MACRO_RESOLUTION_TRUST _let_1025 _let_1024 _let_1101 _let_1027 _let_998 _let_332 _let_1098 _let_1023 _let_519 _let_1042 _let_1041 _let_1046 _let_1043 _let_1094 _let_861 _let_864 _let_863 _let_866 _let_1077 _let_844 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1000)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_857 _let_1001 _let_883 _let_881 _let_274 _let_827 _let_341 _let_347 _let_350) (SCOPE (TRANS _let_352 _let_349 (CONG _let_946 (TRANS _let_343 (CONG _let_1006 _let_830 :args _let_339) _let_1005 _let_884) :args _let_338) _let_1002 _let_858) :args (_let_713 _let_714 _let_716 _let_708 _let_80 _let_126 _let_87 _let_142 _let_141))) :args (_let_80 _let_141 _let_87 _let_142 _let_713 _let_126 _let_714 _let_716 _let_708))) :args (true _let_1000)) :args ((or _let_189 _let_467 _let_187 _let_480 _let_854 _let_136 _let_821 _let_999 _let_869 _let_868))) _let_867 _let_998 _let_850 _let_332 _let_326 _let_997 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_996)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_970 _let_976 _let_274 _let_341 _let_353 _let_526 _let_350 _let_834 _let_967 _let_973 _let_839 _let_347 _let_357 _let_388 _let_781 _let_872) (SCOPE (TRANS _let_784 _let_527 _let_783 _let_995 (CONG _let_358 (TRANS _let_992 _let_979 _let_977 _let_975 _let_972 _let_968) :args _let_338) _let_348 _let_351) :args (_let_804 _let_815 _let_80 _let_87 _let_91 _let_106 _let_141 _let_123 _let_810 _let_809 _let_136 _let_142 _let_84 _let_205 _let_117 _let_125))) :args (_let_80 _let_141 _let_84 _let_87 _let_91 _let_205 _let_106 _let_142 _let_117 _let_123 _let_125 _let_136 _let_809 _let_815 _let_804 _let_810))) :args (true _let_996)) :args ((or _let_189 _let_181 _let_467 _let_188 _let_187 _let_186 _let_376 _let_520 _let_480 _let_774 _let_820 _let_848 _let_837 _let_965 _let_964 _let_963 _let_962))) _let_961 _let_959 _let_769 _let_332 _let_326 _let_373 _let_982 _let_981 _let_984 _let_983 _let_985 _let_987 _let_961 _let_959 _let_954 _let_951 _let_949 _let_948 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_988)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_350 _let_347 _let_357 _let_921 _let_989 _let_341 _let_274 _let_353 _let_834 _let_839 _let_872 _let_781 _let_526 _let_388) (SCOPE (TRANS _let_784 _let_527 _let_783 _let_995 (CONG _let_358 (TRANS _let_992 _let_991 _let_990 _let_922) :args _let_338) _let_348 _let_351) :args (_let_141 _let_142 _let_84 _let_799 _let_913 _let_87 _let_80 _let_91 _let_123 _let_136 _let_125 _let_117 _let_106 _let_205))) :args (_let_80 _let_141 _let_84 _let_87 _let_91 _let_205 _let_106 _let_142 _let_117 _let_123 _let_125 _let_136 _let_913 _let_799))) :args (true _let_988)) :args ((or _let_189 _let_181 _let_467 _let_188 _let_187 _let_186 _let_376 _let_520 _let_480 _let_774 _let_820 _let_848 _let_837 _let_934 _let_919))) _let_769 _let_332 _let_326 _let_373 _let_927 _let_926 _let_924 _let_519 :args ((or _let_189 _let_181 _let_188 _let_187 _let_186 _let_520 _let_820 _let_848 _let_837 _let_919) false _let_117 false _let_142 false _let_141 false _let_205 false _let_913 false _let_915 false _let_912 false _let_232)) _let_836 (MACRO_RESOLUTION_TRUST _let_987 _let_961 _let_959 _let_985 _let_984 _let_983 _let_982 _let_981 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_966)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_274 _let_824 _let_341 _let_428 _let_857 _let_970 _let_277 _let_886 _let_872 _let_883 _let_967 _let_973 _let_943 _let_976) (SCOPE (TRANS _let_278 _let_275 _let_876 _let_888 _let_887 _let_885 (CONG _let_944 _let_980 :args _let_339) _let_979 _let_977 _let_975 _let_972 _let_968 (CONG _let_761 :args _let_740)) :args (_let_80 _let_137 _let_87 _let_52 _let_713 _let_804 _let_70 _let_717 _let_125 _let_716 _let_810 _let_809 _let_697 _let_815))) :args (_let_80 _let_87 _let_70 _let_52 _let_713 _let_125 _let_137 _let_717 _let_716 _let_809 _let_697 _let_815 _let_804 _let_810))) :args (true _let_966)) :args ((or _let_189 _let_187 _let_264 _let_692 _let_72 _let_854 _let_848 _let_822 _let_870 _let_869 _let_965 _let_765 _let_964 _let_963 _let_962))) _let_961 _let_959 _let_867 _let_850 _let_420 _let_954 _let_951 _let_949 _let_948 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_940)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_941 _let_921 _let_942 _let_824 _let_857 _let_886 _let_883 _let_943 _let_872 _let_341) (SCOPE (FALSE_ELIM (TRANS (CONG _let_922 (TRANS (CONG _let_946 (TRANS _let_922 _let_341) :args _let_339) (CONG _let_945 _let_875 :args _let_339) _let_884 _let_900 _let_858 _let_825 (SYMM (SYMM _let_942))) :args _let_273) (FALSE_INTRO _let_941))) :args (_let_929 _let_799 _let_918 _let_137 _let_713 _let_717 _let_716 _let_697 _let_125 _let_87))) :args (_let_87 _let_918 _let_713 _let_929 _let_125 _let_137 _let_717 _let_716 _let_697 _let_799))) :args (true _let_940)) (CONG _let_939 (REFL :args (_let_935)) _let_855 (MACRO_SR_PRED_INTRO :args ((= (not _let_929) _let_917))) _let_938 _let_853 _let_899 _let_898 _let_937 _let_920 _let_936 :args _let_261)) :args ((or _let_187 _let_917 _let_935 _let_854 _let_848 _let_822 _let_870 _let_869 _let_765 _let_934 _let_919))) _let_867 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_930)) (CONG (REFL :args (_let_932)) _let_577 (REFL :args _let_933) :args _let_261)) :args ((or _let_93 _let_918 _let_932))) _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_439 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_931)) :args _let_440))) _let_439 :args (_let_930 false _let_438)) :args (_let_918 true _let_93 false _let_930)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_928)) :args ((or _let_93 _let_929 (not _let_928)))) _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_150 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_152)) :args _let_151))) _let_150 :args (_let_928 false _let_149)) :args (_let_929 true _let_93 false _let_928)) _let_850 _let_927 _let_926 _let_924 _let_519 _let_866 _let_864 _let_862 _let_56 _let_861 _let_859 _let_173 _let_849 _let_549 :args ((or _let_187 _let_848 _let_822 _let_765 _let_919) false _let_716 false _let_918 true _let_917 false _let_713 false _let_913 false _let_915 false _let_912 false _let_232 false _let_717 false _let_719 false _let_723 false _let_55 true _let_722 true _let_720 true _let_165 false _let_713 false _let_546)) _let_767 _let_758 (MACRO_RESOLUTION_TRUST _let_757 _let_147 :args (_let_710 false _let_146)) (REORDERING (CNF_OR_POS :args (_let_847)) :args ((or _let_699 _let_846 (not _let_847)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_696 _let_103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_647)) :args _let_76)) _let_75 :args (_let_847 false _let_74)) (MACRO_RESOLUTION_TRUST _let_911 (MACRO_RESOLUTION_TRUST _let_910 _let_56 :args (_let_893 false _let_55)) (REORDERING (CNF_AND_POS :args (_let_892 1)) :args ((or _let_890 _let_909))) _let_908 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_907)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_271 _let_824 _let_857 _let_886 _let_883 _let_901) (SCOPE (FALSE_ELIM (TRANS (CONG _let_279 (TRANS _let_902 _let_884 _let_900 _let_858 _let_825) :args _let_273) _let_272)) :args (_let_267 _let_137 _let_713 _let_717 _let_716 _let_846))) :args (_let_267 _let_713 _let_137 _let_717 _let_716 _let_846))) :args (true _let_907)) (CONG _let_268 _let_855 _let_853 _let_899 _let_898 _let_897 (REFL :args ((not _let_890))) :args _let_261)) _let_867 _let_850 _let_173 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_507 _let_824 _let_857 _let_886 _let_883 _let_901 _let_903 _let_906) :args (_let_504 _let_713 _let_137 _let_717 _let_716 _let_846 _let_868 _let_889)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_906)) (TRUE_INTRO (TRANS _let_672 (SYMM (TRANS _let_904 _let_902 _let_884 _let_900 _let_858 _let_825 _let_672)))))) :args (_let_504 _let_137 _let_713 _let_717 _let_716 _let_846 _let_889 _let_868)) :args ((not (and _let_504 _let_713 _let_137 _let_717 _let_716 _let_846 _let_868 _let_889)) SB_LITERAL))) (CONG _let_512 _let_855 _let_853 _let_899 _let_898 _let_897 (MACRO_SR_PRED_INTRO :args ((= (not _let_868) _let_708))) _let_896 :args _let_261)) _let_867 _let_850 _let_507 _let_866 _let_864 _let_862 _let_56 _let_861 _let_859 _let_173 _let_849 _let_549 :args ((or _let_822 _let_894 _let_708) false _let_893 true _let_892 true _let_891 true _let_890 false _let_716 false _let_713 true _let_165 true _let_889 false _let_716 false _let_713 false _let_504 false _let_717 false _let_719 false _let_723 false _let_55 true _let_722 true _let_720 true _let_165 false _let_713 false _let_546)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_871)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_388 _let_526 _let_781 _let_834 _let_357 _let_824 _let_274 _let_872 _let_341 _let_353 _let_881 _let_883 _let_886 _let_857 _let_360 _let_363) (SCOPE (TRANS _let_365 _let_362 _let_479 (CONG _let_356 (TRANS _let_275 _let_876 _let_888 _let_887 _let_885 (CONG _let_882 (SYMM _let_875) :args _let_339) (SYMM _let_880)) :args _let_338) (CONG _let_843 (TRANS _let_880 (CONG _let_876 _let_875 :args _let_339)) :args _let_338) _let_782 _let_528 _let_389) :args (_let_205 _let_106 _let_117 _let_123 _let_84 _let_137 _let_80 _let_125 _let_87 _let_91 _let_708 _let_716 _let_717 _let_713 _let_145 _let_144))) :args (_let_80 _let_144 _let_84 _let_87 _let_91 _let_205 _let_106 _let_145 _let_117 _let_123 _let_713 _let_125 _let_137 _let_717 _let_716 _let_708))) :args (true _let_871)) :args ((or _let_189 _let_182 _let_468 _let_188 _let_187 _let_186 _let_376 _let_520 _let_466 _let_774 _let_820 _let_854 _let_848 _let_822 _let_870 _let_869 _let_868))) _let_867 _let_850 _let_769 _let_331 _let_314 _let_373 _let_866 _let_864 _let_863 _let_861 _let_859 _let_850 _let_173 _let_297 _let_286 _let_741 _let_506 _let_284 _let_283 _let_59 _let_56 _let_282 _let_280 _let_173 _let_260 _let_258 :args ((or _let_189 _let_188 _let_187 _let_186 _let_520 _let_820 _let_848 _let_822) false _let_810 false _let_809 true _let_811 true _let_812 false _let_814 true _let_813 false _let_817 true _let_815 false _let_810 false _let_809 false _let_716 false _let_713 false _let_70 false _let_804 false _let_805 true _let_800 false _let_802 true _let_799 false _let_697 false _let_709 false _let_710 false _let_699 false _let_847 true _let_846 true _let_708 false _let_716 false _let_713 false _let_117 false _let_145 false _let_144 false _let_205 false _let_717 false _let_719 false _let_723 true _let_722 true _let_720 false _let_713 true _let_165 true _let_182 true _let_191 true _let_692 true _let_503 false _let_52 false _let_53 false _let_54 false _let_55 true _let_51 true _let_49 true _let_165 false _let_70 false _let_190)) _let_844 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_838)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_388 _let_526 _let_781 _let_834 _let_357 _let_827 _let_274 _let_839 _let_353 _let_360 _let_363) (SCOPE (TRANS _let_365 _let_362 _let_479 (CONG _let_843 (TRANS _let_355 (CONG (TRANS _let_841 _let_833) _let_340 :args _let_339) (CONG _let_832 _let_830 :args _let_339)) :args _let_338) _let_782 _let_528 _let_389) :args (_let_205 _let_106 _let_117 _let_123 _let_84 _let_126 _let_80 _let_136 _let_91 _let_145 _let_144))) :args (_let_80 _let_144 _let_84 _let_91 _let_205 _let_106 _let_145 _let_117 _let_123 _let_126 _let_136))) :args (true _let_838)) :args ((or _let_189 _let_182 _let_468 _let_188 _let_186 _let_376 _let_520 _let_466 _let_774 _let_820 _let_821 _let_837))) _let_769 _let_331 _let_314 _let_373 _let_836 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_823)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_350 _let_347 _let_834 _let_341 _let_274 _let_824 _let_827 _let_781 _let_526 _let_388) (SCOPE (TRANS _let_784 _let_527 _let_783 (CONG _let_835 (TRANS (CONG _let_833 (SYMM _let_830) :args _let_339) (CONG (TRANS _let_832 (TRANS _let_825 _let_274) _let_275) _let_340 :args _let_339) _let_342) :args _let_338) _let_348 _let_351) :args (_let_141 _let_142 _let_123 _let_87 _let_80 _let_137 _let_126 _let_117 _let_106 _let_205))) :args (_let_80 _let_141 _let_87 _let_205 _let_106 _let_142 _let_117 _let_123 _let_126 _let_137))) :args (true _let_823)) :args ((or _let_189 _let_181 _let_467 _let_187 _let_376 _let_520 _let_480 _let_774 _let_820 _let_821 _let_822))) _let_769 _let_332 _let_326 _let_373 _let_297 _let_286 :args ((or _let_189 _let_181 _let_188 _let_187 _let_186 _let_520 _let_820 _let_821 _let_818) false _let_117 false _let_145 false _let_144 false _let_205 false _let_136 true _let_137 false _let_117 false _let_142 false _let_141 false _let_205 true _let_182 true _let_191)) :args ((or _let_189 _let_181 _let_188 _let_187 _let_186 _let_520 _let_820 _let_819 _let_818) false _let_810 false _let_809 false _let_117 false _let_142 false _let_141 false _let_205 false _let_815 false _let_817 false _let_813 false _let_814 false _let_812 false _let_811 false _let_810 false _let_809 false _let_804 false _let_805 true _let_800 false _let_802 true _let_799 false _let_136 true _let_137 false _let_125 true _let_126)) _let_796 _let_795 _let_792 _let_791 _let_789 _let_787 _let_785 _let_771 _let_769 _let_373 _let_767 _let_766 _let_763 _let_762 _let_758 _let_757 _let_147 _let_756 _let_753 _let_749 _let_748 _let_747 _let_746 _let_745 _let_422 _let_744 _let_404 _let_743 _let_742 _let_500 _let_741 _let_506 _let_284 _let_283 _let_59 _let_56 _let_282 _let_280 _let_173 _let_260 _let_258 :args ((or _let_189 _let_181 _let_188 _let_187 _let_186 _let_520) false _let_738 true _let_736 false _let_734 false _let_714 false _let_142 true _let_316 false _let_733 false _let_232 false _let_731 false _let_732 false _let_727 false _let_729 true _let_726 false _let_720 false _let_722 false _let_723 true _let_719 true _let_717 false _let_125 true _let_126 false _let_716 false _let_714 false _let_713 false _let_142 false _let_141 true _let_136 true _let_138 false _let_127 false _let_128 false _let_123 false _let_124 false _let_120 false _let_122 true _let_119 false _let_118 false _let_117 false _let_205 false _let_708 true _let_697 true _let_698 false _let_40 false _let_709 false _let_710 false _let_146 false _let_699 false _let_701 true _let_704 false _let_39 true _let_702 true _let_705 true _let_706 false _let_256 false _let_707 false _let_403 false _let_693 false _let_694 false _let_499 true _let_692 true _let_503 false _let_52 false _let_53 false _let_54 false _let_55 true _let_51 true _let_49 true _let_165 false _let_70 false _let_190)) (CNF_OR_NEG :args (_let_183 1)) _let_691 _let_300 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_689)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_690 _let_632 _let_341 _let_353) (SCOPE (TRANS _let_343 (CONG (SYMM (SYMM _let_690)) _let_353 :args _let_339) _let_635 _let_633) :args (_let_255 _let_252 _let_87 _let_91))) :args (_let_87 _let_91 _let_252 _let_255))) :args (true _let_689)) :args ((or _let_187 _let_186 _let_618 _let_254 _let_671))) _let_613 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_582 _let_584 _let_586 _let_357 _let_588 _let_591 _let_590 _let_274 _let_687 _let_663 _let_632 _let_630 _let_597 _let_353 _let_600 _let_603) :args (_let_80 _let_237 _let_84 _let_91 _let_238 _let_168 _let_95 _let_227 _let_252 _let_242 _let_243 _let_644 _let_248 _let_244 _let_648 _let_234)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_604 (CONG (TRANS _let_602 _let_637 (CONG _let_358 (TRANS _let_636 (CONG (TRANS (TRANS _let_599 _let_631 _let_688 _let_684 (SYMM _let_687)) _let_595) _let_340 :args _let_339) _let_594 _let_589 _let_585) :args _let_338) _let_587 _let_585) :args _let_525) _let_583)) :args (_let_168 _let_237 _let_238 _let_84 _let_243 _let_95 _let_227 _let_80 _let_648 _let_644 _let_252 _let_248 _let_242 _let_91 _let_244 _let_234)) :args ((not (and _let_80 _let_237 _let_84 _let_91 _let_238 _let_168 _let_95 _let_227 _let_252 _let_242 _let_243 _let_644 _let_248 _let_244 _let_648 _let_234)) SB_LITERAL))) (CONG _let_266 _let_581 _let_580 _let_623 _let_578 _let_577 _let_576 _let_575 _let_619 _let_574 _let_573 _let_659 _let_617 _let_572 _let_657 _let_571 :args _let_261)) :args ((or _let_189 _let_570 _let_188 _let_186 _let_93 _let_569 _let_185 _let_568 _let_618 _let_567 _let_566 _let_655 _let_616 _let_564 _let_656 _let_235))) _let_563 _let_558 _let_554 _let_613 _let_177 _let_545 _let_543 _let_665 _let_667 _let_666 _let_668 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_682 _let_630 _let_683 _let_357 _let_632 _let_673 _let_663 _let_353 _let_597 _let_600 _let_603) :args (_let_84 _let_91 _let_252 _let_242 _let_679 _let_644 _let_248 _let_680 _let_244 _let_651 _let_234)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_604 (CONG (TRANS _let_602 (CONG _let_356 (SYMM _let_686) :args _let_338) (CONG _let_358 (TRANS _let_686 (CONG (TRANS _let_685 (TRANS _let_635 _let_684 _let_674)) _let_340 :args _let_339) _let_633) :args _let_338) (SYMM _let_683) _let_631) :args _let_525) (FALSE_INTRO _let_682))) :args (_let_680 _let_248 _let_679 _let_84 _let_252 _let_651 _let_644 _let_91 _let_242 _let_244 _let_234)) :args ((not (and _let_84 _let_91 _let_252 _let_242 _let_679 _let_644 _let_248 _let_680 _let_244 _let_651 _let_234)) SB_LITERAL))) (CONG _let_580 _let_623 _let_619 _let_574 (REFL :args (_let_681)) _let_659 _let_617 (MACRO_SR_PRED_INTRO :args ((= (not _let_680) _let_677))) _let_572 _let_670 _let_571 :args _let_261)) :args ((or _let_188 _let_186 _let_618 _let_567 _let_677 _let_681 _let_655 _let_616 _let_564 _let_669 _let_235))) _let_563 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_328 :args (_let_239 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_330)) :args _let_329)) _let_328 :args (_let_679 false _let_327)) _let_554 _let_613 (REORDERING (CNF_EQUIV_POS1 :args (_let_678)) :args ((or _let_680 _let_676 (not _let_678)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_239 QUANTIFIERS_INST_CBQI_PROP)) :args _let_148))) _let_147 :args (_let_678 false _let_146)) (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_646 _let_254 (not _let_676)))) _let_639 _let_491 _let_563 _let_554 _let_613 _let_331 _let_314 _let_373 :args ((or _let_189 _let_188 _let_186 _let_520 _let_620 _let_185 _let_568 _let_646 _let_655 _let_616 _let_235) false _let_244 false _let_243 false _let_242 false _let_252 true _let_93 false _let_238 false _let_237 false _let_648 false _let_650 false _let_653 true _let_652 true _let_651 false _let_244 false _let_679 false _let_242 false _let_252 true _let_677 false _let_678 true _let_676 true _let_254 true _let_253 false _let_244 false _let_242 false _let_252 false _let_145 false _let_144 false _let_205)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_507 _let_661 _let_632 _let_663 _let_673 _let_675) :args (_let_504 _let_252 _let_644 _let_646 _let_671 _let_651)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_675)) (TRUE_INTRO (TRANS 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_let_252 true _let_165)) (REORDERING (CNF_OR_POS :args (_let_645)) :args ((or _let_641 _let_644 (not _let_645)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_221 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_647)) :args _let_76)) _let_75 :args (_let_645 false _let_74)) (REORDERING (CNF_EQUIV_POS1 :args (_let_642)) :args ((or (not _let_641) _let_640 (not _let_642)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_221 QUANTIFIERS_INST_CBQI_PROP)) :args _let_148))) _let_147 :args (_let_642 false _let_146)) (REORDERING (CNF_OR_POS :args (_let_640)) :args ((or _let_255 _let_223 (not _let_640)))) _let_609 _let_608 _let_607 _let_606 _let_605 _let_542 _let_541 _let_537 _let_56 _let_540 _let_539 _let_544 _let_328 _let_553 _let_549 _let_557 _let_176 _let_175 _let_174 _let_173 _let_169 _let_147 _let_556 _let_75 _let_562 _let_560 :args ((or _let_189 _let_188 _let_186 _let_520 _let_620 _let_185 _let_568 _let_255 _let_223 _let_235) true _let_646 false _let_644 false _let_645 true _let_641 false _let_642 true _let_640 false _let_248 false _let_249 false _let_250 true _let_247 true _let_245 false _let_237 false _let_533 false _let_536 false _let_55 true _let_535 false _let_30 false _let_238 false _let_327 false _let_242 false _let_546 false _let_243 true _let_93 true _let_166 true _let_164 true _let_165 false _let_167 false _let_146 false _let_555 false _let_74 false _let_244 false _let_10)) _let_639 _let_491 _let_563 _let_554 _let_613 _let_331 _let_314 _let_373 _let_609 _let_608 (MACRO_RESOLUTION_TRUST _let_607 _let_56 :args (_let_250 false _let_55)) _let_606 _let_605 _let_563 _let_558 _let_554 _let_177 _let_545 _let_543 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_532) (CONG (REFL :args _let_532) (REFL :args (_let_230)) _let_494 (MACRO_SR_PRED_INTRO :args ((= (not _let_235) _let_234))) _let_531 :args _let_261)) :args ((or _let_110 _let_530 _let_230 _let_234 _let_236))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_484 1)) _let_492 :args ((not _let_236) true _let_484)) _let_529 _let_519 _let_373 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_495) (CONG (REFL :args _let_495) (MACRO_SR_PRED_INTRO :args ((= (not _let_230) _let_229))) _let_494 :args _let_261)) :args ((or _let_110 _let_229 _let_231))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_484 0)) _let_492 :args ((not _let_231) true _let_484)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_481)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_415 _let_477 _let_344 _let_470 _let_472 _let_350 _let_474 _let_482 _let_347) (SCOPE (TRANS _let_352 _let_349 (CONG _let_478 (TRANS (SYMM (SYMM _let_482)) _let_475 _let_473) :args _let_338) _let_416) :args (_let_217 _let_446 _let_193 _let_456 _let_448 _let_141 _let_450 _let_452 _let_142))) :args (_let_141 _let_193 _let_142 _let_217 _let_456 _let_446 _let_448 _let_450 _let_452))) :args (true _let_481)) :args ((or _let_467 _let_457 _let_480 _let_208 _let_412 _let_465 _let_464 _let_463 _let_462 (not _let_452)))) _let_461 _let_408 _let_332 _let_326 (REORDERING (CNF_OR_POS :args (_let_454)) :args ((or _let_453 _let_452 (not _let_454)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_469)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_415 _let_477 _let_357 _let_344 _let_470 _let_472 _let_350 _let_474 _let_476 _let_274 _let_360 _let_363) (SCOPE (TRANS _let_365 _let_362 _let_479 (CONG (TRANS _let_358 _let_478) (TRANS _let_275 (SYMM (SYMM _let_476)) _let_475 _let_473) :args _let_338) _let_416) :args (_let_217 _let_446 _let_84 _let_193 _let_456 _let_448 _let_141 _let_450 _let_453 _let_80 _let_145 _let_144))) :args (_let_80 _let_144 _let_141 _let_84 _let_193 _let_145 _let_217 _let_456 _let_446 _let_448 _let_450 _let_453))) :args (true _let_469)) :args ((or _let_189 _let_468 _let_467 _let_188 _let_457 _let_466 _let_227 _let_412 _let_465 _let_464 _let_463 _let_462 (not _let_453)))) _let_461 _let_408 _let_331 _let_326 _let_314 (REORDERING (CNF_EQUIV_POS1 :args (_let_455)) :args ((or _let_225 _let_454 (not _let_455)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args _let_460) :args _let_148))) _let_147 :args (_let_455 false _let_146)) (REORDERING (CNF_OR_POS :args (_let_451)) :args ((or _let_225 _let_450 (not _let_451)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args _let_460) :args _let_162)) _let_161 :args (_let_451 false _let_160)) (REORDERING (CNF_OR_POS :args (_let_449)) :args ((or _let_225 _let_448 (not _let_449)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_206 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_459)) :args _let_158)) _let_157 :args (_let_449 false _let_156)) (REORDERING (CNF_EQUIV_POS1 :args (_let_447)) :args ((or _let_446 _let_225 (not _let_447)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_206 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_458)) :args _let_151))) _let_150 :args (_let_447 false _let_149)) :args ((or _let_189 _let_188 _let_457 _let_208 _let_227 _let_225) false _let_456 false _let_217 false _let_142 false _let_141 false _let_452 true _let_453 false _let_456 false _let_217 false _let_145 false _let_141 false _let_144 false _let_454 false _let_455 false _let_450 false _let_451 false _let_448 false _let_449 false _let_446 false _let_447)) _let_445 _let_444 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_226)) (CONG (REFL :args (_let_442)) (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_224))) (REFL :args _let_417) :args _let_261)) :args ((or _let_224 _let_219 _let_442))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_439 :args (_let_206 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_441)) :args _let_440))) _let_439 :args (_let_226 false _let_438)) _let_437 _let_436 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_427 _let_385 _let_432 _let_274 _let_277 _let_428 _let_434) :args (_let_80 _let_181 _let_70 _let_52 _let_212 _let_421 _let_223)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_434)) (CONG (TRANS _let_433 _let_386) _let_431 :args (APPLY_UF tptp.existsprefers)) (TRUE_INTRO _let_427))) :args (_let_212 _let_181 _let_223 _let_80 _let_70 _let_52 _let_421)) :args ((not (and _let_80 _let_181 _let_70 _let_52 _let_212 _let_421 _let_223)) SB_LITERAL))) (CONG _let_266 _let_378 _let_265 _let_426 (REFL :args ((not _let_212))) (MACRO_SR_PRED_INTRO :args ((= (not _let_421) _let_222))) (REFL :args ((not _let_223))) :args _let_261)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (skv_9 _let_220 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_423)) _let_422 :args (_let_421 false _let_256)) _let_420 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_413)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_415 _let_418 _let_419) (SCOPE (TRANS (SYMM (SYMM _let_419)) (CONG (SYMM (SYMM _let_418)) (REFL :args (_let_215)) :args _let_338) _let_416) :args _let_414)) :args _let_414)) :args (true _let_413)) :args ((or _let_208 _let_412 (not _let_219) (not _let_218)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_410 :args (_let_215 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_411)) _let_410 :args (_let_218 false _let_409)) _let_408 _let_407 (REORDERING (CNF_EQUIV_POS2 :args (_let_213)) :args ((or _let_212 (not _let_204) (not _let_213)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_404 :args (_let_63 tptp.false1 QUANTIFIERS_INST_E_MATCHING ((tptp.d Y) (tptp.bool X)))) :args _let_405))) _let_404 :args (_let_213 false _let_403)) (REORDERING (CNF_EQUIV_POS2 :args (_let_211)) :args ((or _let_210 (not _let_201) (not _let_211)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_398 :args (tptp.false1 _let_63 QUANTIFIERS_INST_E_MATCHING _let_402)) :args _let_399))) _let_398 :args (_let_211 false _let_397)) (CNF_AND_NEG :args (_let_209)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_393 2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_395)) :args ((or _let_394 _let_396 (not _let_395)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_401) :args (_let_192 tptp.false1 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f2 BOUND_VARIABLE_1370 BOUND_VARIABLE_1372 R1)))) :args _let_401)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_15)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P $$unsorted) (Q $$unsorted)) (not (forall ((R $$unsorted)) (or (not (= (tptp.lazy_and2 P Q) (tptp.phi (tptp.f2 P Q R)))) (not (forall ((R1 $$unsorted)) (not (tptp.forallprefers (tptp.f2 P Q R1) (tptp.f2 P Q R))))))))) (and (forall ((BOUND_VARIABLE_1359 $$unsorted) (BOUND_VARIABLE_1361 $$unsorted)) (= (tptp.lazy_and2 BOUND_VARIABLE_1359 BOUND_VARIABLE_1361) (tptp.phi (tptp.f2 BOUND_VARIABLE_1359 BOUND_VARIABLE_1361 (skop_3 BOUND_VARIABLE_1359 BOUND_VARIABLE_1361))))) _let_400)))))) :args _let_41) :args ((not _let_394) false _let_400)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_398 :args (_let_195 _let_207 QUANTIFIERS_INST_CBQI_PROP)) :args _let_399))) _let_398 :args (_let_395 false _let_397)) :args (_let_396 true _let_394 false _let_395)) :args ((not _let_209) true _let_393)) _let_390 _let_373 _let_174 (REORDERING (CNF_OR_NEG :args (_let_204 2)) :args ((or _let_366 _let_204))) (REORDERING (CNF_OR_NEG :args (_let_201 2)) :args ((or _let_366 _let_201))) (RESOLUTION (CNF_AND_NEG :args (_let_336)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_337 _let_344 _let_341 _let_347 _let_350 _let_353 _let_357 _let_274 _let_360 _let_363) (SCOPE (TRANS _let_365 _let_362 _let_359 (CONG _let_356 (TRANS _let_355 (CONG (TRANS _let_352 _let_349 (CONG _let_346 _let_343 :args _let_338)) _let_340 :args _let_339)) :args _let_338) (SYMM _let_337)) :args (_let_196 _let_193 _let_87 _let_142 _let_141 _let_91 _let_84 _let_80 _let_145 _let_144))) :args (_let_80 _let_144 _let_141 _let_84 _let_193 _let_87 _let_91 _let_145 _let_142 _let_196))) :args (true _let_336)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_192 tptp.false1 _let_62 QUANTIFIERS_INST_E_MATCHING _let_335)) :args _let_333)) _let_334 :args (_let_196 false _let_16)) _let_332 _let_331 _let_326 _let_314 _let_307 _let_305 _let_304 _let_303 _let_300 _let_297 _let_286 _let_284 _let_283 _let_59 _let_56 _let_282 _let_280 _let_173 _let_260 _let_258 :args ((or _let_202 _let_189 _let_188 _let_187 _let_186 _let_185) false _let_252 false _let_255 true _let_254 true _let_253 false _let_244 false _let_242 false _let_252 false _let_145 false _let_144 false _let_205 false _let_248 false _let_249 false _let_250 true _let_247 true _let_245 false _let_244 false _let_243 false _let_242 true _let_93 false _let_238 false _let_237 false _let_234 true _let_236 false _let_233 false _let_232 false _let_205 false _let_229 true _let_231 false _let_227 false _let_106 false _let_107 false _let_224 false _let_226 false _let_108 false _let_112 true _let_223 true _let_222 false _let_70 true _let_219 false _let_218 false _let_217 true _let_111 false _let_212 false _let_213 false _let_210 false _let_211 true _let_208 true _let_209 true _let_109 false _let_205 true _let_164 false _let_204 false _let_201 false _let_197 false _let_196 false _let_142 false _let_145 false _let_141 false _let_144 false _let_181 false _let_193 false _let_194 false _let_183 false _let_184 true _let_182 true _let_191 false _let_52 false _let_53 false _let_54 false _let_55 true _let_51 true _let_49 true _let_165 false _let_70 false _let_190)) :args ((or _let_189 _let_188 _let_187 _let_186 _let_185) false _let_118 false _let_117 false _let_113 false _let_119 false _let_122 true _let_120 true _let_107 false _let_111 false _let_112 true _let_108 true _let_106 true _let_181 true _let_183 false _let_184 true _let_97)) (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_88 _let_93 _let_95 (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_62 tptp.err QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.bool A) false)) (not (= (tptp.bool B) true))))) :args _let_180))) _let_179 :args (_let_96 false _let_178)) _let_177 (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_88 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162)) _let_161 :args (_let_92 false _let_160)) (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_87 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_158)) _let_157 :args (_let_89 false _let_156)) (REORDERING (CNF_EQUIV_POS1 :args _let_155) :args ((or _let_88 _let_84 _let_154))) _let_153 (REORDERING (CNF_EQUIV_POS1 :args (_let_82)) :args ((or _let_88 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_62 QUANTIFIERS_INST_CBQI_PROP)) :args _let_148))) _let_147 :args (_let_82 false _let_146)) :args (_let_88 false _let_117 false _let_145 false _let_144 false _let_36 false _let_126 true _let_125 false _let_141 false _let_136 true _let_137 false _let_117 false _let_142 false _let_141 false _let_113 false _let_138 false _let_139 false _let_134 false _let_135 true _let_133 false _let_131 false _let_132 false _let_129 false _let_130 false _let_127 false _let_128 false _let_123 false _let_124 false _let_120 false _let_122 true _let_119 false _let_118 false _let_117 false _let_113 true _let_107 false _let_111 false _let_112 true _let_108 true _let_106 false _let_101 false _let_102 false _let_99 false _let_100 true _let_97 false _let_79 true _let_80 false _let_95 false _let_96 true _let_93 false _let_91 false _let_92 false _let_87 false _let_89 false _let_84 false _let_85 false _let_81 false _let_82)))) (let ((_let_1382 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_71 _let_65 (not _let_73)))) _let_1381 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_77) :args _let_76)) _let_75 :args (_let_73 false _let_74)) :args (_let_65 true _let_71 false _let_73)))) (let ((_let_1383 (tptp.phi _let_1162))) (let ((_let_1384 (= _let_1383 (tptp.impl _let_1162 _let_63)))) (let ((_let_1385 (or _let_1165 _let_1384))) (let ((_let_1386 (tptp.f5 skv_9 _let_63))) (let ((_let_1387 (= _let_1386 _let_1383))) (let ((_let_1388 (= _let_1383 (tptp.lazy_impl _let_78 _let_1162)))) (let ((_let_1389 (tptp.f6 skv_9 _let_63))) (let ((_let_1390 (= _let_1389 (tptp.lazy_impl _let_192 (tptp.impl _let_1386 _let_63))))) (let ((_let_1391 (= _let_1162 _let_1383))) (let ((_let_1392 (tptp.bool _let_1389))) (let ((_let_1393 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_552 :args (skv_9 _let_63 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_551)) :args _let_550)) _let_549 :args (_let_1387 false _let_546)))) (let ((_let_1394 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_71))))) (let ((_let_1395 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_285 :args _let_44)) (CONG _let_1394 (MACRO_SR_PRED_INTRO :args ((= (not _let_202) _let_97))) :args _let_261)) _let_1381 :args (_let_97 true _let_71)))) (let ((_let_1396 (MACRO_RESOLUTION_TRUST _let_305 _let_1395 _let_304 :args (_let_193 false _let_97 false _let_194)))) (let ((_let_1397 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_560 :args (skv_9 _let_63 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_559)) _let_560 :args (_let_1390 false _let_10)))) (let ((_let_1398 (and _let_1167 _let_1391))) (let ((_let_1399 (= tptp.err _let_1383))) (let ((_let_1400 (not _let_1167))) (let ((_let_1401 (and _let_1400 _let_1399))) (let ((_let_1402 (or _let_1398 _let_1401))) (let ((_let_1403 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_1162 QUANTIFIERS_INST_CBQI_PROP)) :args _let_57)) _let_56 :args (_let_1402 false _let_55)))) (let ((_let_1404 (not _let_1401))) (let ((_let_1405 (tptp.forallprefers tptp.err _let_63))) (let ((_let_1406 (= _let_94 (tptp.impl tptp.err _let_63)))) (let ((_let_1407 (tptp.forallprefers _let_1389 _let_104))) (let ((_let_1408 (not _let_1399))) (let ((_let_1409 (= _let_78 _let_38))) (let ((_let_1410 (or _let_40 _let_1409))) (let ((_let_1411 (= _let_693 _let_1410))) (let ((_let_1412 (= _let_48 _let_68))) (let ((_let_1413 (or _let_693 _let_1412))) (let ((_let_1414 (MACRO_RESOLUTION_TRUST _let_864 _let_863 _let_861 _let_866 _let_1259 _let_850 _let_769 _let_545 _let_1251 _let_314 _let_543 _let_373 _let_1230 _let_998 _let_850 _let_769 _let_373 _let_1247 _let_1246 _let_1245 _let_1241 _let_1239 _let_792 _let_790 _let_150 _let_789 _let_786 _let_439 _let_785 _let_768 _let_560 _let_770 _let_410 _let_1157 _let_506 _let_445 _let_437 _let_435 _let_56 _let_407 _let_1160 _let_173 _let_372 _let_370 :args ((or _let_287 _let_138) false _let_723 true _let_722 true _let_719 true _let_720 false _let_713 false _let_117 false _let_238 true _let_309 false _let_144 false _let_237 false _let_205 true _let_717 false _let_714 false _let_713 false _let_117 false _let_205 false _let_133 false _let_135 true _let_134 false _let_139 true _let_137 false _let_123 false _let_124 false _let_149 false _let_120 false _let_122 false _let_438 true _let_119 false _let_117 false _let_10 false _let_118 false _let_409 true _let_181 true _let_503 false _let_106 false _let_108 false _let_112 false _let_55 true _let_111 true _let_109 true _let_165 false _let_205 false _let_367)))) (let ((_let_1415 (REORDERING (CNF_AND_POS :args (_let_51 0)) :args ((or _let_50 _let_281))))) (let ((_let_1416 (not _let_65))) (let ((_let_1417 (REFL :args (_let_1166)))) (let ((_let_1418 (and _let_88 _let_70 _let_52 _let_69 _let_65))) (let ((_let_1419 (ASSUME :args (_let_88)))) (let ((_let_1420 (TRANS _let_277 _let_429))) (let ((_let_1421 (ASSUME :args (_let_65)))) (let ((_let_1422 (SYMM (SYMM _let_1421)))) (let ((_let_1423 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1418)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1419 _let_277 _let_428 _let_1421 _let_1180) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_1285 (CONG (SYMM _let_1420) _let_296 :args _let_339) _let_1422 (CONG _let_1420 :args _let_471) _let_278) :args _let_525) (FALSE_INTRO _let_1419))) :args (_let_88 _let_70 _let_52 _let_65 _let_69))) :args (_let_88 _let_70 _let_52 _let_69 _let_65))) :args (true _let_1418)) (CONG _let_1394 _let_265 _let_426 _let_1276 (REFL :args (_let_1416)) _let_1417 :args _let_261)) :args ((or _let_71 _let_264 _let_72 _let_1274 _let_1166 _let_1416))))) (let ((_let_1424 (and _let_70 _let_39 _let_52 _let_69 _let_65))) (let ((_let_1425 (ASSUME :args (_let_39)))) (let ((_let_1426 (TRANS _let_760 _let_429))) (let ((_let_1427 (= _let_105 (tptp.not1 _let_104)))) (let ((_let_1428 (and _let_510 _let_182 _let_205 _let_106))) (let ((_let_1429 (= tptp.false1 _let_83))) (let ((_let_1430 (MACRO_RESOLUTION_TRUST _let_1148 _let_1395 _let_1147 :args (_let_1137 false _let_97 false _let_1138)))) (let ((_let_1431 (and _let_182 _let_144 _let_141 _let_1137 _let_1139 _let_205 _let_106 _let_142 _let_117 _let_123 _let_126 _let_137))) (let ((_let_1432 (= _let_88 _let_1429))) (let ((_let_1433 (not _let_1432))) (let ((_let_1434 (_let_1429))) (let ((_let_1435 (not _let_1429))) (let ((_let_1436 (and _let_182 _let_144 _let_1429 _let_1137 _let_188 _let_126 _let_137))) (let ((_let_1437 (ASSUME :args _let_579))) (let ((_let_1438 (ASSUME :args _let_1434))) (let ((_let_1439 (REFL :args (_let_1408)))) (let ((_let_1440 (REFL :args ((not _let_1387))))) (let ((_let_1441 (and _let_379 _let_182 _let_126 _let_136 _let_1387))) (let ((_let_1442 (TRANS _let_1156 _let_829))) (let ((_let_1443 (ASSUME :args (_let_1387)))) (let ((_let_1444 (SYMM _let_1443))) (let ((_let_1445 (REORDERING (CNF_AND_POS :args (_let_1401 1)) :args ((or _let_1399 _let_1404))))) (let ((_let_1446 (REORDERING (CNF_OR_POS :args (_let_1402)) :args ((or _let_1398 _let_1401 (not _let_1402)))))) (let ((_let_1447 (not _let_1398))) (let ((_let_1448 (REORDERING (CNF_AND_POS :args (_let_1398 0)) :args ((or _let_1167 _let_1447))))) (let ((_let_1449 (MACRO_RESOLUTION_TRUST _let_1191 (MACRO_RESOLUTION_TRUST _let_1189 _let_1187 :args ((not _let_1173) false _let_547)) (MACRO_RESOLUTION_TRUST _let_1186 _let_398 :args (_let_1174 false _let_397)) :args (_let_1190 true _let_1173 false _let_1174)))) (let ((_let_1450 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_1172 1)) _let_1449 :args ((not _let_1169) true _let_1172)))) (let ((_let_1451 (not _let_1165))) (let ((_let_1452 (_let_1451))) (let ((_let_1453 (REFL :args (_let_1400)))) (let ((_let_1454 (_let_1169))) (let ((_let_1455 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_1454) (CONG (REFL :args _let_1454) (REFL :args (_let_1170)) _let_1453 (MACRO_SR_PRED_INTRO :args ((= (not _let_1166) _let_67))) (REFL :args _let_1452) :args _let_261)) :args ((or _let_1170 _let_67 _let_1169 _let_1400 _let_1451))))) (let ((_let_1456 (and _let_182 _let_232 _let_713 _let_126 _let_136 _let_717))) (let ((_let_1457 (and _let_182 _let_141 _let_1137 _let_205 _let_106 _let_142 _let_117 _let_123 _let_125 _let_137 _let_131))) (let ((_let_1458 (TRANS _let_1204 _let_874))) (let ((_let_1459 (and _let_141 _let_1137 _let_125 _let_136 _let_129))) (let ((_let_1460 (TRANS _let_1204 _let_872))) (let ((_let_1461 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1459)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_839 _let_350 _let_872 _let_1320 _let_1203) (SCOPE (TRANS (CONG _let_840 (SYMM _let_1460) :args _let_339) (CONG _let_946 _let_1460 :args _let_339) _let_1321 _let_873 _let_352 _let_1232) :args (_let_136 _let_141 _let_125 _let_129 _let_1137))) :args (_let_141 _let_1137 _let_125 _let_136 _let_129))) :args (true _let_1459)) :args ((or _let_467 _let_1152 _let_133 _let_848 _let_837 _let_1316))) _let_1430 _let_326 _let_1230 _let_998 _let_850 _let_769 _let_373 _let_866 _let_864 _let_863 _let_861 _let_1212 _let_850 _let_174 _let_836 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1457)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_526 _let_388 _let_1155 _let_350 _let_347 _let_834 _let_1347 _let_872 _let_1203 _let_824 _let_781) (SCOPE (TRANS _let_527 _let_783 (CONG _let_835 (TRANS (CONG _let_825 (SYMM _let_1458) :args _let_339) (CONG _let_1006 _let_1458 :args _let_339) _let_1348) :args _let_338) _let_348 _let_351 (CONG _let_1185 :args _let_740) (CONG _let_1344 :args _let_740)) :args (_let_106 _let_205 _let_182 _let_141 _let_142 _let_123 _let_131 _let_125 _let_1137 _let_137 _let_117))) :args (_let_182 _let_141 _let_1137 _let_205 _let_106 _let_142 _let_117 _let_123 _let_125 _let_137 _let_131))) :args (true _let_1457)) :args ((or _let_287 _let_467 _let_1152 _let_376 _let_1427 _let_520 _let_480 _let_774 _let_820 _let_848 _let_822 _let_1342))) _let_1430 _let_769 _let_332 _let_326 _let_373 _let_844 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_1456)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_523 _let_839 _let_857 _let_886 _let_827 _let_1155) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG _let_831 (CONG _let_831 _let_1442 :args _let_1215) _let_1442 :args _let_1036) :args _let_525) (CONG (TRANS _let_900 _let_858 _let_840) :args _let_525) _let_524)) :args (_let_232 _let_136 _let_713 _let_717 _let_126 _let_182))) :args (_let_182 _let_232 _let_713 _let_126 _let_136 _let_717))) :args (true _let_1456)) _let_850 _let_519 _let_1455 _let_1450 _let_1448 _let_866 _let_1446 _let_1403 _let_864 _let_863 _let_1445 _let_861 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1441)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_383 _let_839 _let_827 _let_1155 _let_1443) (SCOPE (FALSE_ELIM (TRANS (CONG _let_279 (TRANS _let_1444 (CONG _let_831 _let_1442 :args _let_826) _let_840) :args _let_273) _let_384)) :args (_let_379 _let_136 _let_126 _let_182 _let_1387))) :args (_let_379 _let_182 _let_126 _let_136 _let_1387))) :args (true _let_1441)) (CONG _let_380 _let_289 _let_1120 _let_1132 _let_1440 _let_1439 :args _let_261)) _let_1393 _let_174 _let_1212 _let_850 _let_174 _let_836 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1436)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1437 _let_1203 _let_1155 _let_824 _let_827 _let_1438 _let_363) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_114)) (TRANS _let_828 _let_1155) :args _let_339) (CONG _let_825 _let_296 :args _let_339) _let_1204) (TRANS _let_1224 _let_1201 _let_364 (SYMM (SYMM _let_1438))) :args _let_273) (FALSE_INTRO _let_1437))) :args (_let_188 _let_1137 _let_182 _let_137 _let_126 _let_1429 _let_144))) :args (_let_182 _let_144 _let_1429 _let_1137 _let_188 _let_126 _let_137))) :args (true _let_1436)) (CONG _let_289 _let_624 (REFL :args (_let_1435)) _let_1194 (MACRO_SR_PRED_INTRO :args ((= (not _let_188) _let_84))) _let_1120 _let_853 _let_1334 :args _let_261)) :args ((or _let_84 _let_287 _let_468 _let_1435 _let_1152 _let_1195 _let_821 _let_822))) _let_1430 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_1432)) (CONG (REFL :args (_let_1433)) _let_1394 (REFL :args _let_1434) :args _let_261)) :args ((or _let_71 _let_1429 _let_1433))) _let_1381 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_439 :args (_let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_931)) :args _let_440))) _let_439 :args (_let_1432 false _let_438)) :args (_let_1429 true _let_71 false _let_1432)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_155) :args ((or _let_71 _let_188 _let_154))) _let_1381 _let_153 :args (_let_188 true _let_71 false _let_85)) _let_314 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1431)) (IMPLIES_ELIM (SCOPE _let_1210 :args (_let_182 _let_144 _let_141 _let_1137 _let_1139 _let_205 _let_106 _let_142 _let_117 _let_123 _let_126 _let_137))) :args (true _let_1431)) :args ((or _let_287 _let_468 _let_467 _let_1152 _let_1151 _let_376 _let_520 _let_480 _let_774 _let_133 _let_820 _let_821 _let_822))) (MACRO_RESOLUTION_TRUST _let_1150 _let_1395 _let_1149 :args (_let_1139 false _let_97 false _let_1140)) _let_1430 _let_769 _let_332 _let_326 _let_314 _let_373 _let_792 _let_790 _let_150 _let_789 _let_786 _let_439 _let_785 _let_768 _let_560 _let_770 _let_410 _let_1157 _let_506 _let_445 _let_437 _let_435 _let_56 _let_407 _let_1160 _let_173 _let_372 _let_370 :args ((or _let_287 _let_821 _let_822) false _let_1137 false _let_1429 true _let_84 false _let_144 false _let_133 false _let_1139 false _let_1137 false _let_117 false _let_142 false _let_141 false _let_144 false _let_205 false _let_123 false _let_124 false _let_149 false _let_120 false _let_122 false _let_438 true _let_119 false _let_117 false _let_10 false _let_118 false _let_409 true _let_181 true _let_503 false _let_106 false _let_108 false _let_112 false _let_55 true _let_111 true _let_109 true _let_165 false _let_205 false _let_367)) :args ((or _let_287 _let_821 _let_818 _let_1170 _let_67) false _let_713 false _let_232 true _let_1165 true _let_1169 false _let_1167 false _let_717 false _let_1398 false _let_1402 false _let_719 false _let_723 true _let_1401 true _let_722 true _let_1399 false _let_1387 true _let_164 true _let_720 false _let_713 true _let_164 false _let_136 true _let_137)) _let_796 _let_794 _let_147 _let_1333 _let_1332 _let_157 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1428)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_526 _let_388 _let_1155 _let_514) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (TRANS _let_1155 _let_388)) (TRANS (CONG _let_627 :args _let_740) (CONG _let_1156 :args _let_740)) :args _let_273) _let_515)) :args (_let_106 _let_205 _let_182 _let_510))) :args (_let_510 _let_182 _let_205 _let_106))) :args (true _let_1428)) (CONG _let_511 _let_289 _let_377 _let_622 (REFL :args ((not _let_1427))) :args _let_261)) _let_792 _let_790 _let_150 _let_1296 _let_1295 _let_161 _let_789 _let_786 _let_439 _let_785 _let_768 _let_560 _let_770 _let_410 _let_1157 _let_506 _let_445 _let_437 _let_435 _let_56 _let_407 _let_1160 _let_173 _let_372 _let_370 :args ((or _let_287 _let_818 _let_1170 _let_67) false _let_1137 false _let_141 true _let_133 false _let_714 false _let_713 false _let_117 false _let_205 false _let_717 false _let_719 false _let_723 true _let_722 true _let_720 false _let_713 true _let_164 false _let_136 true _let_137 false _let_1137 false _let_117 false _let_142 false _let_141 false _let_205 false _let_125 true _let_126 false _let_127 false _let_128 false _let_146 false _let_131 false _let_132 false _let_156 true _let_1427 false _let_123 false _let_124 false _let_149 false _let_129 false _let_130 false _let_160 false _let_120 false _let_122 false _let_438 true _let_119 false _let_117 false _let_10 false _let_118 false _let_409 true _let_181 true _let_503 false _let_106 false _let_108 false _let_112 false _let_55 true _let_111 true _let_109 true _let_165 false _let_205 false _let_367)))) (let ((_let_1462 (REFL :args (_let_764)))) (let ((_let_1463 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_39))))) (let ((_let_1464 (ASSUME :args (_let_40)))) (let ((_let_1465 (SYMM _let_1464))) (let ((_let_1466 (ASSUME :args _let_750))) (let ((_let_1467 (SYMM (FALSE_INTRO _let_1466)))) (let ((_let_1468 (not _let_1409))) (let ((_let_1469 (ASSUME :args (_let_1409)))) (let ((_let_1470 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1134 _let_1469 _let_1466) :args (_let_113 _let_50 _let_1409)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_1467 (CONG (SYMM _let_1469) :args _let_1127) _let_1135)) :args (_let_113 _let_1409 _let_50)) :args ((not (and _let_113 _let_50 _let_1409)) SB_LITERAL))) (CONG _let_1133 _let_1463 (REFL :args (_let_1468)) :args _let_261)))) (let ((_let_1471 (REORDERING (CNF_OR_POS :args (_let_1410)) :args ((or _let_40 _let_1409 (not _let_1410)))))) (let ((_let_1472 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_38 QUANTIFIERS_INST_CBQI_PROP)) :args _let_148))) _let_147 :args (_let_1411 false _let_146)))) (let ((_let_1473 (REORDERING (CNF_EQUIV_POS1 :args (_let_1411)) :args ((or _let_754 _let_1410 (not _let_1411)))))) (let ((_let_1474 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_38 _let_63 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76))) _let_75 :args (_let_1413 false _let_74)))) (let ((_let_1475 (REORDERING (CNF_OR_POS :args (_let_1413)) :args ((or _let_693 _let_1412 (not _let_1413)))))) (let ((_let_1476 (not _let_1412))) (let ((_let_1477 (and _let_30 _let_49 _let_69 _let_1412))) (let ((_let_1478 (ASSUME :args (_let_30)))) (let ((_let_1479 (ASSUME :args (_let_49)))) (let ((_let_1480 (ASSUME :args (_let_1412)))) (let ((_let_1481 (TRANS _let_1285 (SYMM _let_1480) (SYMM _let_1479)))) (let ((_let_1482 (and _let_49 _let_168 _let_69 _let_1412))) (let ((_let_1483 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1482)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_582 _let_1479 _let_1480 _let_1180) (SCOPE (FALSE_ELIM (TRANS (CONG _let_1481 :args _let_525) _let_583)) :args (_let_168 _let_49 _let_1412 _let_69))) :args (_let_49 _let_168 _let_69 _let_1412))) :args (true _let_1482)) (CONG _let_263 _let_577 _let_1276 (REFL :args (_let_1476)) _let_1417 :args _let_261)) :args ((or _let_93 _let_262 _let_1274 _let_1166 _let_1476))))) (let ((_let_1484 (MACRO_RESOLUTION_TRUST _let_307 (MACRO_RESOLUTION_TRUST _let_1461 _let_1483 _let_1272 _let_177 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1477)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1478 _let_1479 _let_1480 _let_1180) (SCOPE (TRUE_ELIM (TRANS (CONG _let_1481 :args _let_1127) (TRUE_INTRO _let_1478))) :args (_let_30 _let_49 _let_1412 _let_69))) :args (_let_30 _let_49 _let_69 _let_1412))) :args (true _let_1477)) :args ((or _let_534 _let_262 _let_1274 _let_1168 _let_1476))) _let_1272 _let_539 _let_1475 _let_1474 _let_1473 _let_1472 _let_282 _let_1471 _let_283 _let_60 _let_1470 _let_322 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1125 _let_1155 _let_1464 _let_1466) :args (_let_36 _let_182 _let_50 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_1467 (CONG (TRANS _let_1465 _let_1155) :args _let_1127) (CONG _let_1156 :args _let_1127) _let_1126)) :args (_let_36 _let_182 _let_40 _let_50)) :args ((not (and _let_36 _let_182 _let_50 _let_40)) SB_LITERAL))) (CONG _let_1124 _let_289 _let_1463 _let_1462 :args _let_261)) _let_47 _let_748 (MACRO_RESOLUTION_TRUST _let_1461 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1424)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1425 _let_428 _let_277 _let_1421 _let_1180) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_1285 (CONG (SYMM 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(or _let_93 _let_1406))) (let ((_let_1495 (not _let_1407))) (let ((_let_1496 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_490 :args (skv_9 _let_63 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_489)) _let_488 :args (_let_1495 false _let_368)))) (let ((_let_1497 (REFL :args ((not _let_1390))))) (let ((_let_1498 (REFL :args (_let_457)))) (let ((_let_1499 (ASSUME :args (_let_1405)))) (let ((_let_1500 (ASSUME :args (_let_1406)))) (let ((_let_1501 (ASSUME :args (_let_1399)))) (let ((_let_1502 (SYMM _let_1444))) (let ((_let_1503 (ASSUME :args (_let_1390)))) (let ((_let_1504 (SYMM (SYMM _let_1503)))) (let ((_let_1505 (ASSUME :args (_let_1495)))) (let ((_let_1506 (MACRO_RESOLUTION_TRUST _let_1446 (MACRO_RESOLUTION_TRUST _let_1445 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1499 _let_584 _let_586 _let_344 _let_1500 _let_1501 _let_1443 _let_1503 _let_388 _let_526 _let_1505) :args (_let_237 _let_193 _let_205 _let_106 _let_238 _let_1405 _let_1387 _let_1399 _let_1390 _let_1406 _let_1495)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_1505)) (CONG (TRANS _let_1504 (CONG _let_345 (TRANS (CONG (TRANS _let_1502 (SYMM _let_1501)) _let_296 :args _let_339) (SYMM _let_1500) _let_585) :args _let_338) _let_587 _let_585) _let_627 :args _let_626) (TRUE_INTRO _let_1499))) :args (_let_1405 _let_237 _let_238 _let_193 _let_1406 _let_1399 _let_1387 _let_1390 _let_205 _let_106 _let_1495)) :args ((not (and _let_237 _let_193 _let_205 _let_106 _let_238 _let_1405 _let_1387 _let_1399 _let_1390 _let_1406 _let_1495)) SB_LITERAL))) (CONG _let_581 _let_1498 _let_377 _let_622 _let_578 (REFL :args ((not _let_1405))) _let_1440 _let_1439 _let_1497 (REFL :args ((not _let_1406))) (MACRO_SR_PRED_INTRO :args ((= (not _let_1495) _let_1407))) :args _let_261)) _let_1496 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1494)) :args ((or _let_93 _let_1406 (not _let_1494)))) _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(true _let_1491)) _let_1486 _let_1490 _let_373 :args (_let_199 false _let_106 false _let_107 false _let_205)) :args (_let_1487 false _let_97 false _let_30 true _let_93 false _let_199)) :args (_let_1488 false _let_1487)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_398 :args (tptp.err _let_63 QUANTIFIERS_INST_E_MATCHING _let_402)) :args _let_399)) _let_398 :args (_let_1489 false _let_397)) :args (_let_1405 false _let_1488 false _let_1489)) _let_1486 _let_1396 _let_1393 _let_545 _let_543 _let_373 :args (_let_1408 true _let_1407 false _let_1406 false _let_1390 false _let_1405 false _let_106 false _let_193 false _let_1387 false _let_238 false _let_237 false _let_205)) :args (_let_1404 true _let_1399)) _let_1403 :args (_let_1398 true _let_1401 false _let_1402)))) (let ((_let_1507 (not _let_1392))) (let ((_let_1508 (tptp.d _let_1389))) (let ((_let_1509 (and _let_1508 _let_107 _let_1507 _let_233))) (let ((_let_1510 (not _let_1508))) (let ((_let_1511 (and _let_1510 _let_107))) (let ((_let_1512 (or _let_1511 _let_1509 (and (= tptp.false1 _let_1389) _let_483)))) (let ((_let_1513 (= _let_1407 _let_1512))) (let ((_let_1514 (not _let_1512))) (let ((_let_1515 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_1513)) :args ((or _let_1407 _let_1514 (not _let_1513)))) _let_1496 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_398 :args (_let_1389 _let_104 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_399))) _let_398 :args (_let_1513 false _let_397)) :args (_let_1514 true _let_1407 false _let_1513)))) (let ((_let_1516 (_let_1511))) (let ((_let_1517 (_let_1509))) (let ((_let_1518 (ASSUME :args _let_1452))) (let ((_let_1519 (ASSUME :args (_let_1391)))) (let ((_let_1520 (SYMM _let_1519))) (let ((_let_1521 (ASSUME :args (_let_1388)))) (let ((_let_1522 (ASSUME :args (_let_1384)))) (let ((_let_1523 (ASSUME :args (_let_1392)))) (let ((_let_1524 (MACRO_RESOLUTION_TRUST _let_1448 _let_1506 :args (_let_1167 false _let_1398)))) (let ((_let_1525 (_let_1171))) (let ((_let_1526 (MACRO_RESOLUTION_TRUST _let_1455 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_1525) (CONG (REFL :args _let_1525) (MACRO_SR_PRED_INTRO :args ((= (not _let_1170) _let_1168))) _let_1453 :args _let_261)) :args ((or _let_1168 _let_1171 _let_1400))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_1172 0)) _let_1449 :args ((not _let_1171) true _let_1172)) _let_1524 :args (_let_1168 true _let_1171 false _let_1167)) _let_1450 _let_1524 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1518 _let_1519 _let_1521 _let_344 _let_1522 _let_1443 _let_1503 _let_1523) :args (_let_193 _let_1387 _let_1451 _let_1391 _let_1388 _let_1390 _let_1384 _let_1392)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_1523)) (CONG (TRANS _let_1504 (CONG _let_345 (TRANS (CONG (TRANS _let_1502 _let_1520) _let_296 :args _let_339) (SYMM _let_1522) _let_1520) :args _let_338) (SYMM _let_1521) _let_1520) :args _let_525) (FALSE_INTRO _let_1518))) :args (_let_1451 _let_1391 _let_1388 _let_193 _let_1384 _let_1387 _let_1390 _let_1392)) :args ((not (and _let_193 _let_1387 _let_1451 _let_1391 _let_1388 _let_1390 _let_1384 _let_1392)) SB_LITERAL))) (CONG _let_1498 _let_1440 (MACRO_SR_PRED_INTRO :args ((= (not _let_1451) _let_1165))) (REFL :args ((not _let_1391))) (REFL :args ((not _let_1388))) _let_1497 (REFL :args ((not _let_1384))) (REFL :args (_let_1507)) :args _let_261)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_1517) (CONG (REFL :args _let_1517) (REFL :args (_let_1510)) _let_494 (MACRO_SR_PRED_INTRO :args ((= (not _let_1507) _let_1392))) _let_531 :args _let_261)) :args ((or _let_110 _let_530 _let_1510 _let_1392 _let_1509))) _let_1490 (MACRO_RESOLUTION_TRUST _let_529 _let_1486 _let_1484 _let_519 _let_373 :args (_let_233 false _let_106 false _let_181 false _let_232 false _let_205)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_1516) (CONG (REFL :args _let_1516) (MACRO_SR_PRED_INTRO :args ((= (not _let_1510) _let_1508))) _let_494 :args _let_261)) :args ((or _let_110 _let_1508 _let_1511))) _let_1490 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_1512 0)) _let_1515 :args ((not _let_1511) true _let_1512)) :args (_let_1508 false _let_107 true _let_1511)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_1512 1)) _let_1515 :args ((not _let_1509) true _let_1512)) :args (_let_1392 false _let_107 false _let_233 false _let_1508 true _let_1509)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_1398 1)) :args ((or _let_1391 _let_1447))) _let_1506 :args (_let_1391 false _let_1398)) _let_1397 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_328 :args (_let_1162 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_330)) :args _let_329)) _let_328 :args (_let_1388 false _let_327)) _let_1396 _let_1393 (REORDERING (CNF_OR_POS :args (_let_1385)) :args ((or _let_1165 _let_1384 (not _let_1385)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_1162 _let_63 QUANTIFIERS_INST_CBQI_PROP)) :args _let_76))) _let_75 :args (_let_1385 false _let_74)) :args (_let_1165 false _let_1392 false _let_1391 false _let_1390 false _let_1388 false _let_193 false _let_1387 false _let_1384 false _let_1385)) :args (_let_67 false _let_1168 true _let_1169 false _let_1167 false _let_1165)))) (let ((_let_1527 (MACRO_RESOLUTION_TRUST _let_283 (MACRO_RESOLUTION_TRUST _let_284 (MACRO_RESOLUTION_TRUST _let_1423 _let_1381 _let_420 _let_1272 _let_1526 _let_1382 :args (_let_72 true _let_71 false _let_70 false _let_69 false _let_67 false _let_65)) :args (_let_61 true _let_52)) _let_60 :args (_let_51 true _let_53 false _let_54)))) (let ((_let_1528 (MACRO_RESOLUTION_TRUST _let_1415 _let_1527 :args (_let_50 false _let_51)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1125 _let_1464 _let_1466) :args (_let_36 _let_50 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_1467 (CONG _let_1465 :args _let_1127) _let_1126)) :args (_let_36 _let_40 _let_50)) :args ((not (and _let_36 _let_50 _let_40)) SB_LITERAL))) (CONG _let_1124 _let_1463 _let_1462 :args _let_261)) (MACRO_RESOLUTION_TRUST _let_1471 (MACRO_RESOLUTION_TRUST _let_1470 _let_322 _let_1528 :args (_let_1468 false _let_113 true _let_39)) (MACRO_RESOLUTION_TRUST _let_1473 (MACRO_RESOLUTION_TRUST _let_1475 (MACRO_RESOLUTION_TRUST _let_1483 _let_177 (MACRO_RESOLUTION_TRUST _let_282 _let_1527 :args (_let_49 false _let_51)) _let_1272 _let_1526 :args (_let_1476 true _let_93 false _let_49 false _let_69 false _let_67)) _let_1474 :args (_let_693 true _let_1412 false _let_1413)) _let_1472 :args (_let_1410 false _let_693 false _let_1411)) :args (_let_40 true _let_1409 false _let_1410)) _let_1528 _let_47 :args (false false _let_40 true _let_39 false _let_36)) :args (_let_35 _let_34 _let_31 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.lazy_impl A B) (tptp.phi A)))) _let_20 _let_19 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.and1 A B) (tptp.phi A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.and1 A B) (tptp.phi B)))) (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.and1 tptp.false B) tptp.false))) (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.and1 tptp.true B) B))) _let_18 _let_17 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.lazy_and1 A B) (tptp.phi A)))) (forall ((B $$unsorted)) (= (tptp.lazy_and1 tptp.false B) tptp.false)) (forall ((B $$unsorted)) (= (tptp.lazy_and1 tptp.true B) (tptp.phi B))) _let_16 _let_15 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.or1 A B) (tptp.phi A)))) _let_14 (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.or1 tptp.true B) tptp.true))) (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.or1 tptp.false B) B))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.f3 P Q R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.impl P R) (tptp.impl (tptp.impl Q R) R))))) (forall ((P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.or2 P Q) (tptp.phi (tptp.f3 P Q R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f3 P Q R1) (tptp.f3 P Q R))))))) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((P $$unsorted)) (= (tptp.f7 P) (tptp.lazy_impl (tptp.prop P) P))) _let_7 _let_6 _let_5 _let_3 (forall ((P $$unsorted)) (= (tptp.not2 P) (tptp.impl P tptp.false2))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 66.84/67.11  )
% 66.84/67.11  % SZS output end Proof for SWW099+1
% 66.84/67.11  % cvc5---1.0.5 exiting
% 66.84/67.11  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------