TSTP Solution File: SWW100+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW100+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 62.17s 62.39s
% Output : Proof 62.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW100+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 20:26:03 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 62.17/62.38 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZIs817vpR9/cvc5---1.0.5_26091.p...
% 62.17/62.38 ------- get file name : TPTP file name is SWW100+1
% 62.17/62.38 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26091.smt2...
% 62.17/62.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 62.17/62.38 --- Run --no-e-matching --full-saturate-quant at 5...
% 62.17/62.38 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 62.17/62.38 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 62.17/62.38 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 62.17/62.38 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 62.17/62.38 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 62.17/62.38 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 62.17/62.38 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 62.17/62.38 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 62.17/62.38 --- Run --relevant-triggers --full-saturate-quant at 5...
% 62.17/62.38 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 62.17/62.39 % SZS status Theorem for SWW100+1
% 62.17/62.39 % SZS output start Proof for SWW100+1
% 62.17/62.39 (
% 62.17/62.39 (let ((_let_1 (not (forall ((P $$unsorted)) (=> (forall ((X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.apply P X2))) (let ((_let_2 (tptp.apply P X1))) (=> (and (not (tptp.bool _let_2)) (not (tptp.bool _let_1))) (= _let_2 _let_1))))) (= (tptp.exists1 P) (tptp.exists2 P))))))) (let ((_let_2 (tptp.not1 tptp.true))) (let ((_let_3 (= _let_2 tptp.false))) (let ((_let_4 (tptp.not1 tptp.false))) (let ((_let_5 (= _let_4 tptp.true))) (let ((_let_6 (forall ((A $$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 (forall ((P $$unsorted)) (= (tptp.f7 P) (tptp.lazy_impl (tptp.prop P) P))))) (let ((_let_9 (= tptp.false1 tptp.false))) (let ((_let_10 (forall ((P $$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_11 (forall ((P $$unsorted) (R $$unsorted)) (= (tptp.f6 P R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.f5 P R) R)))))) (let ((_let_12 (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_13 (forall ((P $$unsorted) (X $$unsorted) (R $$unsorted)) (= (tptp.f4 P X R) (tptp.impl (tptp.apply P X) R))))) (let ((_let_14 (forall ((P $$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_15 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.f2 P Q R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.lazy_impl P (tptp.impl Q R)) R)))))) (let ((_let_16 (forall ((B $$unsorted)) (= (tptp.lazy_impl tptp.true B) (tptp.phi B))))) (let ((_let_17 (forall ((B $$unsorted)) (= (tptp.lazy_impl tptp.false B) tptp.true)))) (let ((_let_18 (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.impl tptp.true B) B))))) (let ((_let_19 (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.impl tptp.false B) tptp.true))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.impl A B) (tptp.phi A)))))) (let ((_let_21 (forall ((X $$unsorted)) (= (= (tptp.prop X) tptp.false) (not (tptp.bool X)))))) (let ((_let_22 (forall ((X $$unsorted)) (= (= (tptp.prop X) tptp.true) (tptp.bool X))))) (let ((_let_23 (forall ((X $$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_24 (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_25 (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_26 (tptp.d tptp.err))) (let ((_let_27 (and (tptp.d tptp.true) (tptp.d tptp.false) _let_26))) (let ((_let_28 (not (= tptp.false tptp.err)))) (let ((_let_29 (not (= tptp.true tptp.err)))) (let ((_let_30 (and (not (= tptp.true tptp.false)) _let_29 _let_28))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.bool X) (or (= X tptp.false) (= X tptp.true)))))) (let ((_let_32 (io_tptp.exists2_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_33 (io_tptp.exists1_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_34 (= _let_33 _let_32))) (let ((_let_35 (tptp.not1 tptp.false1))) (let ((_let_36 (tptp.prop _let_35))) (let ((_let_37 (= _let_35 _let_36))) (let ((_let_38 (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63))) (let ((_let_39 (tptp.phi _let_38))) (let ((_let_40 (= _let_33 _let_39))) (let ((_let_41 (io_tptp.f6_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))) (let ((_let_42 (= _let_32 (tptp.phi _let_41)))) (let ((_let_43 (io_tptp.f4_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96 _let_35))) (let ((_let_44 (io_tptp.f5_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_35))) (let ((_let_45 (= _let_44 (tptp.phi _let_43)))) (let ((_let_46 (= (io_tptp.f6_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_35) (tptp.lazy_impl _let_36 (tptp.impl _let_44 _let_35))))) (let ((_let_47 (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96))) (let ((_let_48 (tptp.impl _let_47 _let_35))) (let ((_let_49 (= _let_43 _let_48))) (let ((_let_50 (= _let_39 (tptp.lazy_impl _let_35 _let_38)))) (let ((_let_51 (= _let_38 _let_39))) (let ((_let_52 (= _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))) (let ((_let_53 (= _let_48 (tptp.phi _let_47)))) (let ((_let_54 (= _let_38 _let_47))) (let ((_let_55 (forall ((b_X1 it_107_$$unsorted) (b_X2 it_107_$$unsorted)) (let ((_let_1 (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X2))) (let ((_let_2 (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X1))) (or (tptp.bool _let_2) (tptp.bool _let_1) (= _let_2 _let_1))))))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_34))) (let ((_let_58 (not _let_34))) (let ((_let_59 (forall ((b_P it_106_$$unsorted)) (or (not (forall ((b_X1 it_107_$$unsorted) (b_X2 it_107_$$unsorted)) (let ((_let_1 (io_tptp.apply_3 b_P b_X2))) (let ((_let_2 (io_tptp.apply_3 b_P b_X1))) (or (tptp.bool _let_2) (tptp.bool _let_1) (= _let_2 _let_1)))))) (= (io_tptp.exists1_2 b_P) (io_tptp.exists2_7 b_P)))))) (let ((_let_60 (not _let_57))) (let ((_let_61 (not _let_59))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((P $$unsorted)) (or (not (forall ((X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.apply P X1))) (let ((_let_2 (tptp.apply P X2))) (or (tptp.bool _let_1) (tptp.bool _let_2) (= _let_2 _let_1)))))) (= (tptp.exists1 P) (tptp.exists2 P))))) _let_61))))))) (let ((_let_63 (or))) (let ((_let_64 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_62) :args (_let_61))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_59))) (REFL :args (_let_60)) :args _let_63)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST _let_64 _let_62 :args (_let_60 true _let_59)))) (let ((_let_66 (CNF_OR_NEG :args (_let_57 1)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST _let_66 _let_65 :args (_let_58 true _let_57)))) (let ((_let_68 (tptp.bool _let_35))) (let ((_let_69 (= _let_68 _let_37))) (let ((_let_70 (forall ((X $$unsorted)) (= (tptp.bool X) (= (tptp.prop X) (tptp.not1 tptp.false1)))))) (let ((_let_71 (SYMM (ASSUME :args (_let_9))))) (let ((_let_72 (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_5))) (MACRO_SR_EQ_INTRO _let_71 :args ((= tptp.true _let_4) SB_DEFAULT SBA_FIXPOINT))) _let_71))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_22)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_72 :args ((forall ((X $$unsorted)) (= (tptp.bool X) (= tptp.true (tptp.prop X)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_74 (_let_70))) (let ((_let_75 ((tptp.bool X)))) (let ((_let_76 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74))))) (let ((_let_77 (tptp.phi _let_35))) (let ((_let_78 (tptp.not1 _let_35))) (let ((_let_79 (= _let_78 _let_77))) (let ((_let_80 (or _let_68 _let_79))) (let ((_let_81 (forall ((A $$unsorted)) (or (tptp.bool A) (= (tptp.not1 A) (tptp.phi A)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.not1 A)))) (let ((_let_85 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)))) (let ((_let_86 (= tptp.false1 _let_35))) (let ((_let_87 (= tptp.false1 _let_78))) (let ((_let_88 (= _let_35 _let_77))) (let ((_let_89 (not _let_79))) (let ((_let_90 (0))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_30)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_72 :args ((and (not (= tptp.false tptp.true)) _let_29 _let_28) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_92 (AND_ELIM _let_91 :args _let_90))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_72 :args ((= tptp.false _let_2) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_94 (tptp.d _let_35))) (let ((_let_95 (and _let_94 _let_88))) (let ((_let_96 (not _let_94))) (let ((_let_97 (and _let_96 (= tptp.err _let_77)))) (let ((_let_98 (or _let_95 _let_97))) (let ((_let_99 (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_100 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 ((tptp.d X)))) (let ((_let_103 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)))) (let ((_let_104 (not _let_97))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO _let_72 :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (AND_ELIM _let_105 :args _let_90))) (let ((_let_107 (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_96 _let_104))))) (let ((_let_108 (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_95 _let_97 (not _let_98)))))) (let ((_let_109 (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_88 (not _let_95)))))) (let ((_let_110 (MACRO_RESOLUTION_TRUST _let_109 (MACRO_RESOLUTION_TRUST _let_108 (MACRO_RESOLUTION_TRUST _let_107 _let_106 :args (_let_104 false _let_94)) (MACRO_RESOLUTION_TRUST _let_103 _let_100 :args (_let_98 false _let_99)) :args (_let_95 true _let_97 false _let_98)) :args (_let_88 false _let_95)))) (let ((_let_111 (not _let_88))) (let ((_let_112 (not _let_87))) (let ((_let_113 (REFL :args (_let_111)))) (let ((_let_114 (not _let_86))) (let ((_let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_86))))) (let ((_let_116 (REFL :args (_let_112)))) (let ((_let_117 (and _let_87 _let_114 _let_88))) (let ((_let_118 (ASSUME :args (_let_114)))) (let ((_let_119 (FALSE_INTRO _let_118))) (let ((_let_120 (=))) (let ((_let_121 (ASSUME :args (_let_88)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (SYMM _let_93))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_118 _let_93 _let_121) (SCOPE (FALSE_ELIM (TRANS (CONG _let_123 _let_122 :args _let_120) _let_119)) :args (_let_114 _let_87 _let_88))) :args (_let_87 _let_114 _let_88))) :args (true _let_117)) (CONG _let_116 _let_115 _let_113 (REFL :args (_let_89)) :args _let_63)) :args ((or _let_86 _let_112 _let_111 _let_89))) _let_110 _let_93 _let_92 :args (_let_89 false _let_88 false _let_87 true _let_86)))) (let ((_let_125 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_68 _let_79 (not _let_80)))))) (let ((_let_126 (MACRO_RESOLUTION_TRUST _let_125 _let_124 (MACRO_RESOLUTION_TRUST _let_85 _let_82 :args (_let_80 false _let_81)) :args (_let_68 true _let_79 false _let_80)))) (let ((_let_127 (not _let_68))) (let ((_let_128 (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_127 _let_37 (not _let_69)))))) (let ((_let_129 (MACRO_RESOLUTION_TRUST _let_128 _let_126 (MACRO_RESOLUTION_TRUST _let_76 _let_73 :args (_let_69 false _let_70)) :args (_let_37 false _let_68 false _let_69)))) (let ((_let_130 (forall ((b_X1 it_107_$$unsorted)) (not (tptp.existsprefers (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X1) (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63)))))) (let ((_let_131 (not _let_130))) (let ((_let_132 (not _let_40))) (let ((_let_133 (or _let_132 _let_131))) (let ((_let_134 (forall ((b_X it_107_$$unsorted)) (or (not (= (io_tptp.exists1_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.phi (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X)))) (not (forall ((b_X1 it_107_$$unsorted)) (not (tptp.existsprefers (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X1) (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X))))))))) (let ((_let_135 (not _let_133))) (let ((_let_136 (forall ((b_P it_106_$$unsorted)) (not (forall ((b_X it_107_$$unsorted)) (or (not (= (io_tptp.exists1_2 b_P) (tptp.phi (io_tptp.apply_3 b_P b_X)))) (not (forall ((b_X1 it_107_$$unsorted)) (not (tptp.existsprefers (io_tptp.apply_3 b_P b_X1) (io_tptp.apply_3 b_P b_X))))))))))) (let ((_let_137 (not _let_134))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P $$unsorted)) (not (forall ((X $$unsorted)) (or (not (= (tptp.exists1 P) (tptp.phi (tptp.apply P X)))) (not (forall ((X1 $$unsorted)) (not (tptp.existsprefers (tptp.apply P X1) (tptp.apply P X))))))))) _let_136))))))) (let ((_let_139 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_140 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args _let_139) :args (_let_136))))) (let ((_let_141 (_let_137))) (let ((_let_142 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_141)) :args _let_141)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_134))) (REFL :args (_let_135)) :args _let_63)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST _let_142 (MACRO_RESOLUTION_TRUST _let_140 _let_138 :args (_let_137 false _let_136)) :args (_let_135 true _let_134)))) (let ((_let_144 (REFL :args (_let_133)))) (let ((_let_145 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_133 0)) (CONG _let_144 (MACRO_SR_PRED_INTRO :args ((= (not _let_132) _let_40))) :args _let_63)) :args ((or _let_40 _let_133))))) (let ((_let_146 (MACRO_RESOLUTION_TRUST _let_145 _let_143 :args (_let_40 true _let_133)))) (let ((_let_147 (forall ((R1 $$unsorted)) (not (tptp.forallprefers (io_tptp.f6_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 R1) (io_tptp.f6_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65)))))) (let ((_let_148 (not _let_147))) (let ((_let_149 (not _let_42))) (let ((_let_150 (or _let_149 _let_148))) (let ((_let_151 (forall ((R $$unsorted)) (or (not (= (io_tptp.exists2_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.phi (io_tptp.f6_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 R)))) (not (forall ((R1 $$unsorted)) (not (tptp.forallprefers (io_tptp.f6_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 R1) (io_tptp.f6_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 R))))))))) (let ((_let_152 (not _let_150))) (let ((_let_153 (forall ((b_P it_106_$$unsorted)) (not (forall ((R $$unsorted)) (or (not (= (io_tptp.exists2_7 b_P) (tptp.phi (io_tptp.f6_6 b_P R)))) (not (forall ((R1 $$unsorted)) (not (tptp.forallprefers (io_tptp.f6_6 b_P R1) (io_tptp.f6_6 b_P R))))))))))) (let ((_let_154 (not _let_151))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P $$unsorted)) (not (forall ((R $$unsorted)) (or (not (= (tptp.exists2 P) (tptp.phi (tptp.f6 P R)))) (not (forall ((R1 $$unsorted)) (not (tptp.forallprefers (tptp.f6 P R1) (tptp.f6 P R))))))))) _let_153))))))) (let ((_let_156 (_let_154))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_156)) :args _let_156)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_154) _let_151))) (REFL :args (_let_152)) :args _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args _let_139) :args (_let_153))) _let_155 :args (_let_154 false _let_153)) :args (_let_152 true _let_151)))) (let ((_let_158 (REFL :args (_let_150)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_150 0)) (CONG _let_158 (MACRO_SR_PRED_INTRO :args ((= (not _let_149) _let_42))) :args _let_63)) :args ((or _let_42 _let_150))) _let_157 :args (_let_42 true _let_150)))) (let ((_let_160 (not _let_45))) (let ((_let_161 (or _let_160 (not (forall ((b_X1 it_107_$$unsorted)) (let ((_let_1 (tptp.not1 tptp.false1))) (not (tptp.forallprefers (io_tptp.f4_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X1 _let_1) (io_tptp.f4_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96 _let_1))))))))) (let ((_let_162 (forall ((b_X it_107_$$unsorted)) (let ((_let_1 (tptp.not1 tptp.false1))) (or (not (= (io_tptp.f5_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_1) (tptp.phi (io_tptp.f4_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 b_X 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:args (_let_279 false _let_99)) :args (_let_276 true _let_278 false _let_279)) :args (_let_211 false _let_276)))) (let ((_let_287 (io_tptp.apply_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_288 (tptp.d _let_287))) (let ((_let_289 (not _let_288))) (let ((_let_290 (and _let_289 _let_184))) (let ((_let_291 (tptp.d _let_47))) (let ((_let_292 (not _let_291))) (let ((_let_293 (and _let_292 _let_184))) (let ((_let_294 (tptp.existsprefers _let_35 tptp.false1))) (let ((_let_295 (tptp.existsprefers _let_47 _let_38))) (let ((_let_296 (tptp.existsprefers _let_287 _let_38))) (let ((_let_297 (= _let_35 _let_287))) (let ((_let_298 (tptp.bool tptp.false1))) (let ((_let_299 (tptp.bool _let_287))) (let ((_let_300 (not _let_299))) (let ((_let_301 (and _let_288 _let_184 _let_300 _let_270))) (let ((_let_302 (not _let_267))) (let ((_let_303 (and _let_291 _let_184 _let_302 _let_270))) (let ((_let_304 (= tptp.false1 _let_287))) (let ((_let_305 (or _let_304 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(MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_63)) :args ((or _let_55 _let_57))) _let_65 :args (_let_55 true _let_57)))) (let ((_let_803 (_let_55))) (let ((_let_804 (ASSUME :args _let_803))) (let ((_let_805 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_804 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_803))) _let_802 :args (_let_645 false _let_55)))) (let ((_let_806 (REORDERING (CNF_OR_POS :args (_let_645)) :args ((or _let_644 _let_299 _let_270 (not _let_645)))))) (let ((_let_807 (and _let_308 _let_195 _let_309 _let_297))) (let ((_let_808 (ASSUME :args (_let_195)))) (let ((_let_809 (SYMM (SYMM _let_808)))) (let ((_let_810 (and _let_26 _let_207))) (let ((_let_811 (and _let_687 _let_207))) (let ((_let_812 (or _let_810 _let_811))) (let ((_let_813 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)))) (let ((_let_814 (not _let_811))) (let ((_let_815 (REORDERING (CNF_AND_POS :args (_let_811 0)) :args ((or _let_687 _let_814))))) (let ((_let_816 (REORDERING (CNF_OR_POS :args (_let_812)) :args ((or _let_810 _let_811 (not _let_812)))))) (let ((_let_817 (REORDERING (CNF_AND_POS :args (_let_810 1)) :args ((or _let_207 (not _let_810)))))) (let ((_let_818 (MACRO_RESOLUTION_TRUST _let_817 (MACRO_RESOLUTION_TRUST _let_816 (MACRO_RESOLUTION_TRUST _let_815 _let_691 :args (_let_814 false _let_26)) (MACRO_RESOLUTION_TRUST _let_813 _let_100 :args (_let_812 false _let_99)) :args (_let_810 true _let_811 false _let_812)) :args (_let_207 false _let_810)))) (let ((_let_819 (not _let_199))) (let ((_let_820 (not _let_207))) (let ((_let_821 (and _let_206 _let_211 _let_210 _let_209 _let_207 _let_205 _let_199 _let_309 _let_646))) (let ((_let_822 (CONG _let_327 _let_793 :args _let_488))) (let ((_let_823 (ASSUME :args (_let_199)))) (let ((_let_824 (SYMM (SYMM _let_823)))) (let ((_let_825 (ASSUME :args (_let_207)))) (let ((_let_826 (SYMM _let_825))) (let ((_let_827 (SYMM _let_826))) (let ((_let_828 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_821)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_492 _let_699 _let_401 _let_506 _let_781 _let_792 _let_761 _let_823 _let_825) (SCOPE (TRANS _let_827 _let_824 _let_822 (CONG (SYMM _let_700) _let_489 :args _let_488) _let_493) :args (_let_309 _let_646 _let_211 _let_205 _let_209 _let_206 _let_210 _let_199 _let_207))) :args (_let_206 _let_211 _let_210 _let_209 _let_207 _let_205 _let_199 _let_309 _let_646))) :args (true _let_821)) :args ((or _let_398 _let_758 _let_778 _let_820 _let_788 _let_472 _let_819 _let_195 _let_469 _let_694))))) (let ((_let_829 (MACRO_RESOLUTION_TRUST _let_828 _let_785 _let_771 _let_467 _let_237 _let_430 _let_818 _let_286 _let_722 _let_707 _let_467 _let_465 _let_449 _let_441 _let_286 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_807)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_500 _let_389 _let_492 _let_808) (SCOPE (TRANS _let_809 _let_584 _let_704 _let_501) :args (_let_308 _let_297 _let_309 _let_195))) :args (_let_308 _let_195 _let_309 _let_297))) :args (true _let_807)) :args ((or _let_220 _let_473 _let_212 _let_469 _let_387))) _let_467 _let_449 _let_230 _let_426 _let_422 _let_421 _let_806 _let_805 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_789)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_790 _let_401 _let_506 _let_781 _let_792 _let_761 _let_379 _let_797 _let_492 _let_490 _let_674) (SCOPE (TRANS _let_676 _let_801 _let_795 _let_791) :args (_let_642 _let_211 _let_205 _let_209 _let_206 _let_210 _let_51 _let_644 _let_309 _let_203 _let_202))) :args (_let_206 _let_211 _let_210 _let_209 _let_205 _let_203 _let_202 _let_51 _let_309 _let_644 _let_642))) :args (true _let_789)) :args ((or _let_398 _let_758 _let_778 _let_788 _let_472 _let_454 _let_272 _let_186 _let_371 _let_469 _let_787 _let_786))) _let_785 _let_771 _let_467 _let_465 _let_430 _let_286 _let_722 _let_718 _let_717 _let_715 _let_709 _let_714 _let_685 _let_467 _let_659 _let_657 _let_653 _let_441 _let_516 _let_129 _let_510 _let_110 (MACRO_RESOLUTION_TRUST _let_422 _let_421 _let_417 _let_412 _let_426 _let_713 _let_709 _let_707 _let_467 _let_465 _let_449 _let_441 _let_286 _let_701 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_696 _let_699 _let_697 _let_391) :args (_let_678 _let_639 _let_646 _let_341)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_392 (CONG _let_700 _let_698 :args _let_378) (TRUE_INTRO _let_696))) :args (_let_678 _let_646 _let_639 _let_341)) :args ((not (and _let_678 _let_639 _let_646 _let_341)) SB_LITERAL))) (CONG (REFL :args ((not _let_678))) _let_695 (REFL :args (_let_694)) _let_388 :args _let_63)) _let_347 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_690)) :args ((or _let_678 (not _let_689) (not _let_690)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_689 1)) _let_693 :args (_let_689 false _let_686)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_337 :args (tptp.err _let_35 QUANTIFIERS_INST_E_MATCHING _let_368)) :args _let_338))) _let_337 :args (_let_690 false _let_336)) :args (_let_678 false _let_689 false _let_690)) _let_685 _let_440 _let_439 _let_436 _let_466 _let_175 _let_677 _let_109 _let_108 _let_103 _let_100 _let_107 _let_106 _let_509 _let_180 _let_128 _let_76 _let_73 _let_515 _let_125 _let_85 _let_124 _let_514 _let_448 _let_447 _let_444 _let_405 _let_396 _let_82 _let_404 _let_652 _let_234 _let_233 _let_232 _let_230 _let_227 _let_225 _let_648 _let_598 _let_464 _let_461 _let_459 _let_166 _let_656 _let_655 _let_658 _let_608 _let_354 _let_350 _let_348 _let_346 _let_342 _let_142 _let_140 _let_138 _let_340 _let_337 :args ((or _let_272 _let_679 _let_187) false _let_306 false _let_299 true _let_301 true _let_305 false _let_270 false _let_641 true _let_297 false _let_309 false _let_203 false _let_308 false _let_307 false _let_211 false _let_640 true _let_646 true _let_296 false _let_678 true _let_304 false _let_307 false _let_434 false _let_435 false _let_309 false _let_174 true _let_638 false _let_88 false _let_95 false _let_98 false _let_99 true _let_97 false _let_94 false _let_258 false _let_179 false _let_37 false _let_69 false _let_70 false _let_259 false _let_68 false _let_80 true _let_79 false _let_513 false _let_308 false _let_442 false _let_443 false _let_298 false _let_395 false _let_81 true _let_394 false _let_633 true _let_213 true _let_221 true _let_219 true _let_220 false _let_222 false _let_224 false _let_647 false _let_597 false _let_203 true _let_455 true _let_456 false _let_164 false _let_636 false _let_15 false _let_637 false _let_607 false _let_288 true _let_290 true _let_333 true _let_296 false _let_130 true _let_133 true _let_134 false _let_136 false _let_334 false _let_336)) _let_677 _let_659 _let_657 _let_465 _let_653 _let_449 _let_516 _let_129 _let_510 _let_110 _let_230 _let_331 _let_332 _let_329 _let_191 _let_100 _let_328 :args ((or _let_272 _let_238 _let_186) false _let_206 false _let_209 false _let_309 false _let_199 false _let_205 false _let_207 false _let_211 false _let_210 false _let_646 false _let_309 false _let_203 false _let_308 false _let_307 false _let_211 true _let_195 false _let_309 false _let_308 true _let_220 false _let_297 false _let_305 false _let_306 false _let_299 false _let_645 true _let_644 false _let_206 false _let_209 false _let_309 false _let_203 false _let_205 false _let_211 false _let_210 false _let_642 false _let_643 true _let_270 false _let_641 true _let_640 true _let_304 false _let_309 false _let_637 false _let_636 false _let_633 false _let_307 false _let_259 false _let_37 false _let_258 false _let_88 true _let_639 true _let_638 false _let_637 false _let_636 false _let_203 false _let_633 false _let_308 false _let_259 false _let_37 false _let_258 false _let_88 true _let_220 false _let_184 false _let_51 false _let_185 false _let_189 false _let_99 true _let_188)))) (let ((_let_830 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_182)) :args _let_181)) _let_180 :args (_let_239 false _let_179)))) (let ((_let_831 (= tptp.err _let_32))) (let ((_let_832 (not _let_244))) (let ((_let_833 (= (io_tptp.f4_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 _let_197) (tptp.impl _let_38 _let_197)))) (let ((_let_834 (io_tptp.f4_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 tptp.false1))) (let ((_let_835 (tptp.bool _let_834))) (let ((_let_836 (tptp.d _let_834))) (let ((_let_837 (not _let_831))) (let ((_let_838 (REFL :args (_let_820)))) (let ((_let_839 (ASSUME :args (_let_831)))) (let ((_let_840 (SYMM _let_839))) (let ((_let_841 (ASSUME :args (_let_186)))) (let ((_let_842 (SYMM _let_841))) (let ((_let_843 (ASSUME :args (_let_58)))) (let ((_let_844 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_825 _let_841 _let_325 _let_839 _let_843) :args (_let_58 _let_831 _let_207 _let_40 _let_186)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_843)) (TRUE_INTRO (TRANS (TRANS _let_628 _let_842) _let_827 (SYMM (TRANS _let_840 _let_827)))))) :args (_let_207 _let_186 _let_40 _let_831 _let_58)) :args ((not (and _let_58 _let_831 _let_207 _let_40 _let_186)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_34))) (REFL :args (_let_837)) _let_838 _let_316 _let_315 :args _let_63)))) (let ((_let_845 (tptp.f7 tptp.err))) (let ((_let_846 (= _let_845 (tptp.lazy_impl _let_632 tptp.err)))) (let ((_let_847 (= _let_35 (tptp.lazy_impl tptp.false1 tptp.err)))) (let ((_let_848 (= tptp.err _let_845))) (let ((_let_849 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_744)) :args _let_719)) _let_720 :args (_let_846 false _let_8)))) (let ((_let_850 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_608 :args (tptp.err QUANTIFIERS_INST_CBQI_PROP)) :args _let_609)) _let_608 :args (_let_847 false _let_607)))) (let ((_let_851 (not _let_848))) (let ((_let_852 (not _let_847))) (let ((_let_853 (not _let_846))) (let ((_let_854 (not _let_219))) (let ((_let_855 (and _let_854 _let_633 _let_846 _let_847))) (let ((_let_856 (ASSUME :args (_let_854)))) (let ((_let_857 (ASSUME :args (_let_847)))) (let ((_let_858 (SYMM _let_857))) (let ((_let_859 (ASSUME :args (_let_846)))) (let ((_let_860 (SYMM _let_859))) (let ((_let_861 (and _let_633 _let_846 _let_847 _let_244 _let_312 _let_313 _let_249))) (let ((_let_862 (ASSUME :args (_let_244)))) (let ((_let_863 (SYMM (SYMM _let_862)))) (let ((_let_864 (and _let_831 _let_88 _let_42 _let_312 _let_313 _let_249))) (let ((_let_865 (CONG (SYMM _let_618) _let_616 :args _let_487))) (let ((_let_866 (SYMM _let_615))) (let ((_let_867 (SYMM _let_478))) (let ((_let_868 (SYMM _let_840))) (let ((_let_869 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_864)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_620 _let_617 _let_614 _let_121 _let_477 _let_839) (SCOPE (TRANS _let_868 _let_867 (CONG (TRANS _let_620 (SYMM _let_865) _let_615) :args _let_479) _let_122 _let_866 _let_865 _let_621) :args (_let_312 _let_249 _let_313 _let_88 _let_42 _let_831))) :args (_let_831 _let_88 _let_42 _let_312 _let_313 _let_249))) :args (true _let_864)) :args ((or _let_837 _let_111 _let_149 _let_244 _let_613 _let_612 _let_611))) _let_610 _let_606 _let_159 _let_110 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_861)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_859 _let_668 _let_857 _let_614 _let_617 _let_620 _let_862) (SCOPE (TRANS _let_863 _let_622 _let_619 _let_615 (SYMM _let_858) (CONG _let_681 _let_327 :args _let_487) _let_860) :args (_let_846 _let_633 _let_847 _let_313 _let_249 _let_312 _let_244))) :args (_let_633 _let_846 _let_847 _let_244 _let_312 _let_313 _let_249))) :args (true _let_861)) :args ((or _let_663 _let_853 _let_848 _let_852 _let_832 _let_613 _let_612 _let_611))) _let_610 _let_606 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_855)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_856 _let_857 _let_668 _let_859) (SCOPE (FALSE_ELIM (TRANS (CONG _let_327 (TRANS (SYMM _let_860) (CONG _let_669 _let_327 :args _let_487) _let_858) :args _let_120) (FALSE_INTRO _let_856))) :args (_let_854 _let_847 _let_633 _let_846))) :args (_let_854 _let_633 _let_846 _let_847))) :args (true _let_855)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_854) _let_219))) (REFL :args (_let_663)) (REFL :args (_let_853)) (REFL :args (_let_852)) (REFL :args (_let_851)) :args _let_63)) :args ((or _let_219 _let_663 _let_853 _let_851 _let_852))) _let_232 _let_653 _let_849 _let_850 :args (_let_851 true _let_219 false _let_633 false _let_846 false _let_847)) _let_850 _let_849 _let_653 :args ((or _let_837 _let_611) false _let_313 false _let_312 false _let_42 false _let_88 true _let_244 false _let_313 false _let_312 true _let_848 false _let_847 false _let_846 false _let_633)))) (let ((_let_870 (tptp.forallprefers _let_834 _let_194))) (let ((_let_871 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 _let_197 QUANTIFIERS_INST_E_MATCHING ((tptp.impl (io_tptp.apply_3 b_P b_X) R)))) :args _let_176)) _let_175 :args (_let_833 false _let_174)))) (let ((_let_872 (not _let_870))) (let ((_let_873 (_let_452))) (let ((_let_874 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_873) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_873)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_455 1)) (CONG _let_463 (MACRO_SR_PRED_INTRO :args ((= (not _let_453) _let_452))) :args _let_63)) :args ((or _let_452 _let_455))) _let_462 :args (_let_452 true _let_455)) :args (_let_872 false _let_452)))) (let ((_let_875 (not _let_833))) (let ((_let_876 (REFL :args (_let_875)))) (let ((_let_877 (REFL :args (_let_778)))) (let ((_let_878 (REFL :args (_let_758)))) (let ((_let_879 (REFL :args (_let_788)))) (let ((_let_880 (ASSUME :args (_let_833)))) (let ((_let_881 (SYMM (SYMM _let_880)))) (let ((_let_882 (CONG _let_483 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63)) _let_796 :args (APPLY_UF io_tptp.f4_4)))) (let ((_let_883 (ASSUME :args (_let_872)))) (let ((_let_884 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_555 _let_500 _let_697 _let_401 _let_506 _let_781 _let_792 _let_761 _let_880 _let_496 _let_494 _let_492 _let_883) :args (_let_206 _let_211 _let_210 _let_209 _let_307 _let_308 _let_205 _let_310 _let_639 _let_309 _let_304 _let_833 _let_872)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_883)) (CONG (TRANS _let_882 _let_881 (CONG _let_698 _let_793 :args _let_488) _let_501) _let_585 :args _let_557) _let_556)) :args (_let_310 _let_308 _let_639 _let_211 _let_205 _let_209 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(REORDERING (CNF_EQUIV_POS2 :args (_let_949)) :args ((or _let_870 _let_950 (not _let_949)))) _let_874 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_518 :args (_let_834 _let_194 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_519))) _let_518 :args (_let_949 false _let_517)) :args (_let_950 true _let_870 false _let_949)) :args ((not _let_943) true _let_948)))) (let ((_let_952 (not _let_941))) (let ((_let_953 (not _let_942))) (let ((_let_954 (_let_943))) (let ((_let_955 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_954) (CONG (REFL :args _let_954) (REFL :args (_let_944)) (REFL :args (_let_953)) (MACRO_SR_PRED_INTRO :args ((= (not _let_928) _let_835))) (REFL :args (_let_952)) :args _let_63)) :args ((or _let_953 _let_952 _let_944 _let_835 _let_943))))) (let ((_let_956 (MACRO_RESOLUTION_TRUST _let_955 _let_951 (RESOLUTION (CNF_AND_NEG :args (_let_946)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_947 _let_500 _let_389 _let_492) (SCOPE (TRUE_ELIM 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_let_637))) (let ((_let_961 (MACRO_RESOLUTION_TRUST _let_955 _let_951 (RESOLUTION (CNF_AND_NEG :args (_let_960)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_921 _let_121 _let_558 _let_575 _let_560 _let_665 _let_668 _let_670 _let_672) (SCOPE (TRUE_ELIM (TRANS (CONG _let_673 :args _let_923) _let_922)) :args (_let_94 _let_88 _let_258 _let_37 _let_259 _let_637 _let_633 _let_636 _let_638))) :args (_let_94 _let_88 _let_37 _let_259 _let_258 _let_633 _let_636 _let_638 _let_637))) :args (true _let_960)) _let_659 _let_657 _let_653 _let_516 _let_129 _let_510 _let_110 _let_106 (RESOLUTION (CNF_AND_NEG :args (_let_957)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_958 _let_121 _let_558 _let_575 _let_560 _let_665 _let_668 _let_670 _let_672) (SCOPE (TRUE_ELIM (TRANS (CONG _let_673 :args _let_410) _let_959)) :args (_let_68 _let_88 _let_258 _let_37 _let_259 _let_637 _let_633 _let_636 _let_638))) :args (_let_88 _let_68 _let_37 _let_259 _let_258 _let_633 _let_636 _let_638 _let_637))) :args (true _let_957)) _let_659 _let_657 _let_653 _let_516 _let_129 _let_510 _let_126 _let_110 :args ((or _let_661 _let_944 _let_835) true _let_943 false _let_942 false _let_637 false _let_636 false _let_633 false _let_259 false _let_37 false _let_258 false _let_88 false _let_94 false _let_941 false _let_637 false _let_636 false _let_633 false _let_259 false _let_37 false _let_258 false _let_68 false _let_88)))) (let ((_let_962 (not _let_246))) (let ((_let_963 (REFL :args (_let_962)))) (let ((_let_964 (REFL :args (_let_787)))) (let ((_let_965 (and _let_206 _let_211 _let_210 _let_209 _let_241 _let_205 _let_243 _let_203 _let_51 _let_309 _let_644 _let_413 _let_50 _let_642))) (let ((_let_966 (TRANS _let_588 _let_916 _let_915 _let_790 (SYMM _let_795) (SYMM _let_799) _let_493))) (let ((_let_967 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_965)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_933 _let_379 _let_790 _let_401 _let_506 _let_781 _let_792 _let_761 _let_797 _let_492 _let_914 _let_503 _let_490 _let_485) (SCOPE (FALSE_ELIM (TRANS (CONG _let_966 :args _let_410) (CONG _let_800 :args _let_410) _let_934)) :args (_let_413 _let_51 _let_642 _let_211 _let_205 _let_209 _let_206 _let_210 _let_644 _let_309 _let_50 _let_241 _let_203 _let_243))) :args (_let_206 _let_211 _let_210 _let_209 _let_241 _let_205 _let_243 _let_203 _let_51 _let_309 _let_644 _let_413 _let_50 _let_642))) :args (true _let_965)) (CONG _let_879 _let_399 _let_878 _let_877 _let_546 _let_543 _let_540 _let_539 _let_374 _let_534 _let_964 _let_931 (REFL :args (_let_912)) _let_930 _let_963 :args _let_63)) :args ((or _let_398 _let_758 _let_778 _let_788 _let_475 _let_472 _let_471 _let_454 _let_371 _let_469 _let_270 _let_912 _let_962 _let_787 _let_786))))) (let ((_let_968 (and _let_206 _let_211 _let_210 _let_209 _let_241 _let_205 _let_243 _let_203 _let_184 _let_51 _let_309 _let_644 _let_50 _let_642))) (let ((_let_969 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_968)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_938 _let_379 _let_790 _let_401 _let_506 _let_781 _let_792 _let_761 _let_797 _let_492 _let_914 _let_503 _let_490 _let_485) (SCOPE (TRUE_ELIM (TRANS (CONG _let_966 :args _let_923) (CONG _let_800 :args _let_923) _let_939)) :args (_let_184 _let_51 _let_642 _let_211 _let_205 _let_209 _let_206 _let_210 _let_644 _let_309 _let_50 _let_241 _let_203 _let_243))) :args (_let_206 _let_211 _let_210 _let_209 _let_241 _let_205 _let_243 _let_203 _let_184 _let_51 _let_309 _let_644 _let_50 _let_642))) :args (true _let_968)) :args ((or _let_398 _let_758 _let_778 _let_788 _let_475 _let_472 _let_471 _let_454 _let_187 _let_371 _let_469 _let_912 _let_247 _let_787 _let_786))))) (let ((_let_970 (tptp.bool _let_41))) (let ((_let_971 (tptp.d _let_41))) (let ((_let_972 (and _let_247 _let_971 _let_962 _let_970))) (let ((_let_973 (not _let_247))) (let ((_let_974 (and _let_88 _let_68 _let_37 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_262))) (let ((_let_975 (REFL :args (_let_47)))) (let ((_let_976 (CONG _let_975 _let_580 :args _let_488))) (let ((_let_977 (TRANS _let_582 _let_579 (CONG _let_576 (TRANS _let_900 (CONG (TRANS _let_898 (TRANS _let_573 (CONG (TRANS _let_570 _let_976 (CONG _let_384 _let_581 :args _let_488) _let_561) :args _let_479) _let_122)) _let_562 :args _let_488) _let_561) :args _let_487) _let_559 _let_122))) (let ((_let_978 (and _let_94 _let_88 _let_37 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_262))) (let ((_let_979 (and _let_973 _let_971))) (let ((_let_980 (or _let_979 _let_972 (and (= tptp.false1 _let_242) (= _let_35 _let_41))))) (let ((_let_981 (= _let_261 _let_980))) (let ((_let_982 (not _let_980))) (let ((_let_983 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_981)) :args ((or _let_261 _let_982 (not _let_981)))) _let_526 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_518 :args (_let_242 _let_41 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_519))) _let_518 :args (_let_981 false _let_517)) :args (_let_982 true _let_261 false _let_981)))) (let ((_let_984 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_980 1)) _let_983 :args ((not _let_972) true _let_980)))) (let ((_let_985 (not _let_970))) (let ((_let_986 (not _let_971))) (let ((_let_987 (REFL :args (_let_986)))) (let ((_let_988 (_let_972))) (let ((_let_989 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_988) (CONG (REFL :args _let_988) (REFL :args (_let_973)) _let_987 (MACRO_SR_PRED_INTRO :args ((= (not _let_962) _let_246))) (REFL :args (_let_985)) :args _let_63)) :args ((or _let_973 _let_246 _let_972 _let_986 _let_985))))) (let ((_let_990 (MACRO_RESOLUTION_TRUST _let_989 _let_984 (RESOLUTION (CNF_AND_NEG :args (_let_978)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_921 _let_121 _let_558 _let_575 _let_560 _let_383 _let_580 _let_568 _let_571 _let_577) (SCOPE (TRUE_ELIM (TRANS (CONG _let_977 :args _let_923) _let_922)) :args (_let_94 _let_88 _let_258 _let_37 _let_259 _let_262 _let_52 _let_49 _let_45 _let_46))) :args (_let_94 _let_88 _let_37 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_262))) :args (true _let_978)) _let_178 _let_173 _let_169 _let_516 _let_129 _let_510 _let_110 _let_106 (RESOLUTION (CNF_AND_NEG :args (_let_974)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_958 _let_121 _let_558 _let_575 _let_560 _let_383 _let_580 _let_568 _let_571 _let_577) (SCOPE (TRUE_ELIM (TRANS (CONG _let_977 :args _let_410) _let_959)) :args (_let_68 _let_88 _let_258 _let_37 _let_259 _let_262 _let_52 _let_49 _let_45 _let_46))) :args (_let_88 _let_68 _let_37 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_262))) :args (true _let_974)) _let_178 _let_173 _let_169 _let_516 _let_129 _let_510 _let_126 _let_110 :args ((or _let_537 _let_370 _let_973 _let_246) true _let_972 false _let_971 false _let_49 false _let_46 false _let_45 false _let_259 false _let_37 false _let_258 false _let_88 false _let_94 false _let_970 false _let_49 false _let_46 false _let_45 false _let_259 false _let_37 false _let_258 false _let_68 false _let_88)))) (let ((_let_991 (and _let_94 _let_88 _let_37 _let_263 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_264))) (let ((_let_992 (TRANS _let_582 _let_579 (CONG _let_576 (TRANS _let_900 (CONG (TRANS _let_898 (TRANS _let_573 (CONG (TRANS _let_570 _let_976 (CONG _let_566 _let_581 :args _let_488) _let_564) :args _let_479) _let_122)) _let_562 :args _let_488) _let_561) :args _let_487) _let_559 _let_122))) (let ((_let_993 (and _let_88 _let_68 _let_37 _let_263 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_264))) (let ((_let_994 (MACRO_RESOLUTION_TRUST _let_989 _let_984 (RESOLUTION (CNF_AND_NEG :args (_let_993)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_958 _let_121 _let_558 _let_575 _let_560 _let_563 _let_565 _let_580 _let_568 _let_571 _let_577) (SCOPE (TRUE_ELIM (TRANS (CONG _let_992 :args _let_410) _let_959)) :args (_let_68 _let_88 _let_258 _let_37 _let_259 _let_263 _let_264 _let_52 _let_49 _let_45 _let_46))) :args (_let_88 _let_68 _let_37 _let_263 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_264))) :args (true _let_993)) _let_178 _let_173 _let_169 _let_516 _let_512 _let_129 _let_510 _let_126 _let_110 (RESOLUTION (CNF_AND_NEG :args (_let_991)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_921 _let_121 _let_558 _let_575 _let_560 _let_563 _let_565 _let_580 _let_568 _let_571 _let_577) (SCOPE (TRUE_ELIM (TRANS (CONG _let_992 :args _let_923) _let_922)) :args (_let_94 _let_88 _let_258 _let_37 _let_259 _let_263 _let_264 _let_52 _let_49 _let_45 _let_46))) :args (_let_94 _let_88 _let_37 _let_263 _let_259 _let_258 _let_52 _let_45 _let_46 _let_49 _let_264))) :args (true _let_991)) _let_178 _let_173 _let_169 _let_516 _let_512 _let_129 _let_510 _let_110 _let_106 :args ((or _let_537 _let_527 _let_973 _let_246) true _let_972 false _let_970 false _let_49 false _let_46 false _let_45 false _let_259 false _let_263 false _let_37 false _let_258 false _let_68 false _let_88 false _let_971 false _let_49 false _let_46 false _let_45 false _let_259 false _let_263 false _let_37 false _let_258 false _let_88 false _let_94)))) (let ((_let_995 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_47 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.impl A B)))) :args _let_217)) _let_216 :args (_let_269 false _let_215)))) (let ((_let_996 (REORDERING (CNF_OR_POS :args (_let_269)) :args ((or _let_267 _let_53 (not _let_269)))))) (let ((_let_997 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_804 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_803))) _let_802 :args (_let_271 false _let_55)))) (let ((_let_998 (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_270 _let_54 _let_267 (not _let_271)))))) (let ((_let_999 (not _let_54))) (let ((_let_1000 (not _let_53))) (let ((_let_1001 (and _let_831 _let_37 _let_42 _let_51 _let_52 _let_45 _let_46 _let_49 _let_50 _let_54 _let_53))) (let ((_let_1002 (ASSUME :args (_let_54)))) (let ((_let_1003 (SYMM _let_1002))) (let ((_let_1004 (CONG _let_1003 :args _let_479))) (let ((_let_1005 (ASSUME :args (_let_53)))) (let ((_let_1006 (SYMM _let_1005))) (let ((_let_1007 (SYMM _let_1006))) (let ((_let_1008 (and _let_207 _let_42 _let_244))) (let ((_let_1009 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1008)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_477 _let_862 _let_825) (SCOPE (TRANS _let_827 (CONG _let_863 :args _let_479) _let_478) :args (_let_42 _let_244 _let_207))) :args (_let_207 _let_42 _let_244))) :args (true _let_1008)) :args ((or _let_831 _let_820 _let_149 _let_832))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1001)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_379 _let_914 _let_575 _let_1002 _let_1005 _let_580 _let_568 _let_571 _let_577 _let_477 _let_839) (SCOPE (TRANS _let_868 _let_867 (CONG (TRANS _let_582 _let_579 (CONG _let_576 (TRANS _let_900 (CONG (TRANS _let_898 (TRANS _let_573 (CONG (TRANS _let_570 _let_1007 _let_1004 _let_380) :args _let_479) _let_380)) _let_562 :args _let_488) (CONG _let_1002 _let_580 :args _let_488) (CONG _let_975 _let_581 :args _let_488) _let_1007 _let_1004 _let_380) :args _let_487) _let_915 _let_380) :args _let_479)) :args (_let_51 _let_50 _let_37 _let_54 _let_53 _let_52 _let_49 _let_45 _let_46 _let_42 _let_831))) :args (_let_831 _let_37 _let_42 _let_51 _let_52 _let_45 _let_46 _let_49 _let_50 _let_54 _let_53))) :args (true _let_1001)) :args ((or _let_837 _let_553 _let_149 _let_186 _let_371 _let_537 _let_160 _let_532 _let_529 _let_912 _let_1000 _let_999))) _let_183 _let_178 _let_173 _let_169 _let_159 _let_129 _let_998 _let_997 _let_926 _let_996 _let_995 _let_424 _let_423 _let_428 _let_994 _let_990 _let_969 _let_927 _let_183 _let_785 _let_771 _let_467 _let_465 _let_451 _let_433 _let_430 _let_286 _let_722 _let_967 _let_927 _let_926 _let_183 _let_785 _let_771 _let_467 _let_465 _let_451 _let_433 _let_430 _let_286 _let_722 _let_806 _let_805 _let_926 _let_422 _let_421 _let_426 _let_685 _let_467 _let_659 _let_657 _let_653 _let_441 _let_516 _let_129 _let_510 _let_110 _let_961 _let_956 _let_940 _let_927 _let_785 _let_771 _let_871 _let_430 _let_286 _let_722 _let_936 _let_927 _let_926 _let_785 _let_771 _let_871 _let_430 _let_286 _let_722 _let_593 _let_332 _let_331 _let_596 _let_595 _let_329 _let_192 _let_605 _let_602 _let_328 (MACRO_RESOLUTION_TRUST _let_422 _let_421 _let_806 _let_805 _let_426 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_913)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_379 _let_914 _let_503 _let_790 _let_401 _let_506 _let_781 _let_792 _let_761 _let_797 _let_492 _let_490 _let_485 _let_481 _let_477 _let_839) (SCOPE (TRANS _let_868 _let_867 (CONG (TRANS _let_907 _let_588 _let_916 _let_915 _let_380) :args _let_479)) :args (_let_51 _let_50 _let_241 _let_642 _let_211 _let_205 _let_209 _let_206 _let_210 _let_644 _let_309 _let_203 _let_243 _let_245 _let_42 _let_831))) :args (_let_206 _let_831 _let_211 _let_210 _let_209 _let_241 _let_205 _let_243 _let_203 _let_42 _let_51 _let_245 _let_309 _let_644 _let_50 _let_642))) :args (true _let_913)) :args ((or _let_837 _let_398 _let_758 _let_778 _let_788 _let_475 _let_472 _let_471 _let_454 _let_149 _let_186 _let_371 _let_470 _let_469 _let_912 _let_787 _let_786))) _let_183 _let_785 _let_771 _let_467 _let_159 _let_465 _let_451 _let_433 _let_430 _let_286 _let_722 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_911)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_389 _let_121 _let_558 _let_503 _let_496 _let_401 _let_500 _let_492 _let_490 _let_485 _let_481 _let_477 _let_839) (SCOPE (TRANS _let_868 _let_867 (CONG (TRANS _let_907 _let_588 (CONG _let_504 (TRANS _let_706 _let_497) :args _let_487) _let_559 _let_122) :args _let_479) _let_122 _let_703) :args (_let_297 _let_88 _let_258 _let_241 _let_307 _let_211 _let_308 _let_309 _let_203 _let_243 _let_245 _let_42 _let_831))) :args (_let_831 _let_211 _let_88 _let_258 _let_241 _let_307 _let_308 _let_243 _let_203 _let_42 _let_245 _let_309 _let_297))) :args (true _let_911)) :args ((or _let_837 _let_398 _let_111 _let_547 _let_475 _let_474 _let_473 _let_471 _let_454 _let_149 _let_470 _let_469 _let_646 _let_387))) _let_467 _let_159 _let_465 _let_451 _let_449 _let_441 _let_433 _let_510 _let_110 _let_286 _let_908 _let_467 _let_159 _let_465 _let_451 _let_449 _let_441 _let_433 _let_430 _let_110 _let_286 _let_230 _let_828 _let_466 _let_175 _let_910 _let_721 _let_720 _let_429 _let_180 _let_464 _let_461 _let_459 _let_166 _let_236 _let_234 _let_233 _let_232 _let_230 _let_227 _let_218 _let_770 _let_725 _let_73 _let_784 _let_776 _let_775 _let_768 _let_729 _let_598 _let_766 _let_783 _let_829 _let_332 _let_329 _let_191 _let_328 _let_844 _let_66 _let_64 _let_62 _let_817 _let_816 _let_813 _let_815 _let_691 _let_718 _let_716 _let_216 _let_715 _let_708 _let_225 _let_714 _let_630 _let_93 _let_285 _let_284 _let_280 _let_100 _let_283 _let_282 _let_145 _let_142 _let_140 _let_138 (MACRO_RESOLUTION_TRUST _let_593 _let_592 _let_178 _let_173 _let_467 _let_526 _let_169 _let_465 _let_451 _let_522 _let_449 _let_441 _let_433 _let_430 _let_516 _let_512 _let_129 _let_510 _let_110 _let_286 _let_908 _let_467 _let_159 _let_465 _let_451 _let_449 _let_441 _let_433 _let_430 _let_110 _let_286 _let_230 _let_428 _let_426 _let_424 _let_423 _let_422 _let_421 _let_420 _let_418 _let_417 _let_412 _let_411 _let_146 _let_406 _let_393 _let_347 _let_146 _let_369 _let_386 _let_361 _let_146 _let_369 _let_332 _let_354 _let_350 _let_348 _let_346 _let_340 _let_367 _let_364 _let_362 _let_360 _let_342 _let_358 _let_337 _let_331 _let_329 _let_191 _let_328 _let_844 _let_66 _let_64 _let_62 _let_817 _let_816 _let_813 _let_100 _let_815 _let_691 _let_145 _let_142 _let_140 _let_138 _let_596 _let_594 _let_225 _let_605 _let_601 _let_598 _let_869 :args ((or _let_837 _let_314) true _let_52 false _let_49 false _let_46 false _let_309 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_let_202 _let_52 _let_45 _let_523 _let_46 _let_49 _let_264)) SB_LITERAL))) (CONG _let_113 _let_554 _let_838 _let_552 _let_550 _let_548 _let_546 _let_1016 _let_1035 _let_540 _let_1015 _let_538 _let_536 _let_535 _let_533 _let_530 _let_528 :args _let_63)) _let_178 _let_173 _let_526 _let_169 _let_451 _let_1034 _let_433 _let_830 _let_818 _let_516 _let_512 _let_129 _let_510 _let_110 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1036 _let_825 _let_1012 _let_503 _let_674 _let_485 _let_121 _let_558 _let_575 _let_560 _let_383 _let_568 _let_571 _let_580 _let_577 _let_590) :args (_let_88 _let_37 _let_207 _let_259 _let_258 _let_241 _let_239 _let_260 _let_243 _let_202 _let_52 _let_45 _let_523 _let_46 _let_49 _let_262)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_591 (CONG _let_1020 (TRANS _let_582 _let_579 (CONG _let_576 (TRANS _let_900 (CONG (TRANS _let_898 (TRANS _let_573 (CONG (TRANS _let_570 _let_893 _let_561) :args _let_479) _let_122)) _let_562 :args _let_488) _let_561) :args _let_487) _let_559 _let_122) :args _let_557) _let_1037)) :args (_let_260 _let_207 _let_239 _let_241 _let_202 _let_243 _let_88 _let_258 _let_37 _let_259 _let_262 _let_49 _let_45 _let_52 _let_46 _let_523)) :args ((not (and _let_88 _let_37 _let_207 _let_259 _let_258 _let_241 _let_239 _let_260 _let_243 _let_202 _let_52 _let_45 _let_523 _let_46 _let_49 _let_262)) SB_LITERAL))) (CONG _let_113 _let_554 _let_838 _let_550 _let_548 _let_546 _let_1016 _let_1035 _let_540 _let_1015 _let_538 _let_536 _let_535 _let_533 _let_530 _let_373 :args _let_63)) _let_178 _let_173 _let_526 _let_169 _let_451 _let_1034 _let_433 _let_830 _let_818 _let_516 _let_129 _let_510 _let_110 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1029)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_580 _let_577 _let_575 _let_1030 _let_1031 _let_825 _let_1012) (SCOPE (TRANS _let_827 _let_1014 (CONG _let_683 (TRANS _let_827 (SYMM (SYMM _let_1031)) (CONG _let_327 _let_581 :args _let_488) (CONG (SYMM (SYMM _let_1030)) _let_562 :args _let_488) _let_904) :args _let_487) _let_578 _let_903) :args (_let_52 _let_46 _let_37 _let_257 _let_255 _let_207 _let_239))) :args (_let_37 _let_207 _let_239 _let_52 _let_257 _let_255 _let_46))) :args (true _let_1029)) :args ((or _let_553 _let_820 _let_1010 _let_244 (not _let_257) (not _let_255) _let_537 _let_532))) _let_1009 _let_173 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1028)) :args ((or _let_213 _let_255 (not _let_1028)))) _let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.err SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 QUANTIFIERS_INST_CBQI_PROP)) :args _let_217))) _let_216 :args (_let_1028 false _let_215)) :args (_let_255 true _let_213 false _let_1028)) _let_830 _let_818 _let_129 _let_593 _let_596 _let_595 _let_605 _let_602 (MACRO_RESOLUTION_TRUST _let_989 _let_984 _let_1027 _let_610 _let_606 _let_106 _let_1025 _let_610 _let_606 _let_126 :args ((or _let_611 _let_973 _let_246) true _let_972 false _let_971 false _let_313 false _let_312 false _let_94 false _let_970 false _let_313 false _let_312 false _let_68)) (RESOLUTION (CNF_AND_NEG :args (_let_1021)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1022 _let_825 _let_1012 _let_503 _let_674 _let_485) (SCOPE (TRUE_ELIM (TRANS (CONG _let_1020 :args _let_923) _let_1023)) :args (_let_26 _let_207 _let_239 _let_241 _let_202 _let_243))) :args (_let_26 _let_207 _let_241 _let_239 _let_243 _let_202))) :args (true _let_1021)) _let_451 _let_433 _let_830 _let_818 _let_691 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1017)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1018 _let_825 _let_1012 _let_503 _let_674 _let_485) (SCOPE (FALSE_ELIM (TRANS (CONG _let_1020 :args _let_410) _let_1019)) :args (_let_223 _let_207 _let_239 _let_241 _let_202 _let_243))) :args (_let_207 _let_241 _let_239 _let_223 _let_243 _let_202))) :args (true _let_1017)) (CONG _let_838 _let_546 _let_1016 _let_651 _let_540 _let_1015 _let_963 :args _let_63)) :args ((or _let_820 _let_213 _let_475 _let_1010 _let_471 _let_272 _let_962))) _let_451 _let_235 _let_433 _let_830 _let_818 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1011)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_481 _let_485 _let_503 _let_674 _let_1012 _let_825) (SCOPE (TRANS _let_827 _let_1014 (CONG _let_505 _let_676 :args _let_487) _let_486 _let_484) :args (_let_245 _let_243 _let_241 _let_202 _let_239 _let_207))) :args (_let_207 _let_241 _let_239 _let_243 _let_202 _let_245))) :args (true _let_1011)) :args ((or _let_820 _let_475 _let_1010 _let_471 _let_272 _let_244 _let_470))) _let_1009 _let_451 _let_433 _let_830 _let_818 _let_829 _let_631 :args (_let_272 false _let_49 false _let_54 false _let_271 true _let_270 false _let_53 false _let_269 true _let_267 false _let_268 true _let_266 true _let_265 false _let_45 false _let_207 true _let_264 false _let_49 false _let_46 true _let_261 false _let_45 false _let_243 false _let_260 false _let_241 false _let_239 false _let_207 false _let_259 false _let_263 false _let_37 false _let_258 false _let_88 true _let_262 false _let_49 false _let_46 true _let_261 false _let_45 false _let_243 false _let_260 false _let_241 false _let_239 false _let_207 false _let_259 false _let_37 false _let_258 false _let_88 true _let_257 true _let_244 false _let_46 false _let_255 false _let_239 false _let_207 false _let_37 false _let_52 false _let_253 false _let_254 false _let_250 false _let_252 true _let_249 false _let_247 false _let_243 false _let_241 false _let_239 false _let_207 false _let_26 true _let_246 false _let_243 true _let_213 false _let_241 false _let_239 false _let_207 true _let_245 true _let_244 false _let_243 false _let_241 false _let_239 false _let_207 false _let_186 true _let_238)) _let_237 :args (_let_212 false _let_211 false _let_210 false _let_209 false _let_207 false _let_206 false _let_205 false _let_203 true _let_202 false _let_199)) :args (_let_196 true _let_195)) :args (_let_193 true _let_186)) _let_192 :args (_let_185 true _let_188 false _let_189)))) (let ((_let_1056 (MACRO_RESOLUTION_TRUST _let_332 _let_1055 :args (_let_51 false _let_185)))) (let ((_let_1057 (MACRO_RESOLUTION_TRUST _let_936 _let_286 _let_722 _let_771 _let_785 _let_430 _let_1056 _let_871 _let_926 _let_927 :args (_let_928 false _let_211 false _let_210 false _let_209 false _let_206 false _let_205 false _let_51 false _let_833 true _let_270 false _let_642)))) (let ((_let_1058 (MACRO_RESOLUTION_TRUST _let_331 _let_1055 :args (_let_184 false _let_185)))) (let ((_let_1059 (MACRO_RESOLUTION_TRUST _let_940 _let_286 _let_722 _let_771 _let_785 _let_430 _let_1058 _let_1056 _let_871 _let_927 :args (_let_836 false _let_211 false _let_210 false _let_209 false _let_206 false _let_205 false _let_184 false _let_51 false _let_833 false _let_642)))) (let ((_let_1060 (MACRO_RESOLUTION_TRUST _let_956 _let_1059 _let_1057 :args (_let_387 false _let_836 true _let_835)))) (let ((_let_1061 (_let_979))) (let ((_let_1062 (MACRO_RESOLUTION_TRUST _let_806 (MACRO_RESOLUTION_TRUST _let_422 (MACRO_RESOLUTION_TRUST _let_426 (MACRO_RESOLUTION_TRUST _let_685 _let_110 _let_129 _let_516 _let_510 _let_441 _let_653 _let_657 (MACRO_RESOLUTION_TRUST _let_961 _let_1059 _let_1057 :args (_let_661 false _let_836 true _let_835)) _let_659 _let_467 :args (_let_468 false _let_88 false _let_37 false _let_259 false _let_258 false _let_307 false _let_633 false _let_636 true _let_638 false _let_637 false _let_309)) _let_1060 :args (_let_425 true _let_304 true _let_297)) _let_421 :args (_let_300 true _let_305 false _let_306)) _let_926 _let_805 :args (_let_644 true _let_299 true _let_270 false _let_645)))) (let ((_let_1063 (and _let_206 _let_211 _let_210 _let_209 _let_241 _let_205 _let_243 _let_40 _let_203 _let_42 _let_51 _let_245 _let_309 _let_644 _let_50 _let_642))) (let ((_let_1064 (CONG (TRANS _let_381 _let_1051 _let_1050 _let_1049 _let_493) :args _let_479))) (let ((_let_1065 (MACRO_RESOLUTION_TRUST _let_593 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1063)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_477 _let_481 _let_485 _let_503 _let_490 _let_492 _let_797 _let_401 _let_506 _let_781 _let_792 _let_761 _let_790 _let_379 _let_914 _let_325) (SCOPE (TRANS _let_628 _let_1064 (CONG (TRANS _let_492 (SYMM _let_1049) (SYMM _let_1050) _let_791 _let_918 (CONG _let_505 (TRANS _let_381 _let_1051 _let_1050 (CONG (TRANS _let_381 _let_1064 _let_491) _let_793 :args _let_488)) :args _let_487) _let_486 _let_484) :args _let_479) _let_478) :args (_let_42 _let_245 _let_243 _let_241 _let_203 _let_309 _let_644 _let_211 _let_205 _let_209 _let_206 _let_210 _let_642 _let_51 _let_50 _let_40))) :args (_let_206 _let_211 _let_210 _let_209 _let_241 _let_205 _let_243 _let_40 _let_203 _let_42 _let_51 _let_245 _let_309 _let_644 _let_50 _let_642))) :args (true _let_1063)) :args ((or _let_34 _let_398 _let_758 _let_778 _let_788 _let_475 _let_472 _let_471 _let_132 _let_454 _let_149 _let_371 _let_470 _let_469 _let_912 _let_787 _let_786))) _let_67 _let_286 _let_722 _let_771 _let_785 _let_433 _let_430 _let_451 _let_146 _let_465 _let_159 _let_1056 _let_467 _let_183 _let_1062 _let_927 :args (_let_470 true _let_34 false _let_211 false _let_210 false _let_209 false _let_206 false _let_241 false _let_205 false _let_243 false _let_40 false _let_203 false _let_42 false _let_51 false _let_309 false _let_50 false _let_644 false _let_642)) (MACRO_RESOLUTION_TRUST _let_596 (MACRO_RESOLUTION_TRUST _let_605 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_806 _let_805 _let_926 _let_422 _let_421 _let_967 _let_927 _let_926 _let_183 _let_785 _let_771 _let_467 _let_465 _let_451 _let_433 _let_430 _let_286 _let_722 _let_426 _let_989 _let_984 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_1061) (CONG (REFL :args _let_1061) (MACRO_SR_PRED_INTRO :args ((= (not _let_973) _let_247))) _let_987 :args _let_63)) :args ((or _let_247 _let_979 _let_986))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_980 0)) _let_983 :args ((not _let_979) true _let_980)) _let_624 _let_467 _let_526 _let_610 _let_606 _let_465 _let_451 _let_522 _let_449 _let_441 _let_433 _let_430 _let_110 _let_286 _let_1027 _let_610 _let_606 _let_106 _let_1025 _let_610 _let_606 _let_126 :args ((or _let_371 _let_297 _let_611) false _let_645 true _let_270 true _let_299 false _let_306 true _let_644 false _let_642 true _let_270 false _let_50 false _let_206 false _let_209 false _let_309 false _let_203 false _let_243 false _let_241 false _let_205 false _let_211 false _let_210 true _let_305 false _let_246 true _let_972 false _let_247 true _let_979 true _let_304 false _let_309 true _let_261 false _let_313 false _let_312 false _let_203 false _let_243 false _let_310 false _let_308 false _let_307 false _let_241 false _let_205 false _let_88 false _let_211 false _let_971 false _let_313 false _let_312 false _let_94 false _let_970 false _let_313 false _let_312 false _let_68)) _let_1056 _let_1060 :args (_let_611 false _let_51 true _let_297)) _let_602 :args (_let_250 true _let_249 false _let_252)) _let_595 :args (_let_253 false _let_250 false _let_254)) :args (_let_52 true _let_245 false _let_253)))) (let ((_let_1066 (MACRO_RESOLUTION_TRUST _let_967 _let_286 _let_722 _let_771 _let_785 _let_433 _let_430 _let_451 _let_465 _let_1056 _let_467 _let_926 _let_183 _let_1062 _let_927 :args (_let_962 false _let_211 false _let_210 false _let_209 false _let_206 false _let_241 false _let_205 false _let_243 false _let_203 false _let_51 false _let_309 true _let_270 false _let_50 false _let_644 false _let_642)))) (let ((_let_1067 (MACRO_RESOLUTION_TRUST _let_969 _let_286 _let_722 _let_771 _let_785 _let_433 _let_430 _let_451 _let_465 _let_1058 _let_1056 _let_467 _let_183 _let_1062 _let_927 :args (_let_247 false _let_211 false _let_210 false _let_209 false _let_206 false _let_241 false _let_205 false _let_243 false _let_203 false _let_184 false _let_51 false _let_309 false _let_50 false _let_644 false _let_642)))) (let ((_let_1068 (MACRO_RESOLUTION_TRUST _let_424 (MACRO_RESOLUTION_TRUST _let_428 (MACRO_RESOLUTION_TRUST _let_994 _let_1065 _let_1067 _let_1066 :args (_let_527 false _let_52 false _let_247 true _let_246)) (MACRO_RESOLUTION_TRUST _let_990 _let_1065 _let_1067 _let_1066 :args (_let_370 false _let_52 false _let_247 true _let_246)) :args (_let_427 true _let_264 true _let_262)) _let_423 :args (_let_302 true _let_266 false _let_268)))) (let ((_let_1069 (and _let_37 _let_40 _let_42 _let_51 _let_52 _let_45 _let_46 _let_49 _let_50 _let_54 _let_53))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1069)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_477 _let_580 _let_577 _let_575 _let_571 _let_568 _let_1005 _let_1002 _let_379 _let_914 _let_325) (SCOPE (TRANS _let_628 (CONG (TRANS _let_381 _let_918 (CONG _let_683 (TRANS _let_381 _let_1040 _let_1006 (CONG _let_975 _let_902 :args _let_488) (CONG _let_1003 _let_581 :args _let_488) (CONG (TRANS (TRANS _let_381 (CONG (TRANS _let_381 _let_1040 _let_1006 _let_569) :args _let_479) _let_572) _let_899) _let_562 :args _let_488) _let_904) :args _let_487) _let_578 _let_903) :args _let_479) _let_478) :args (_let_42 _let_52 _let_46 _let_37 _let_45 _let_49 _let_53 _let_54 _let_51 _let_50 _let_40))) :args (_let_37 _let_40 _let_42 _let_51 _let_52 _let_45 _let_46 _let_49 _let_50 _let_54 _let_53))) :args (true _let_1069)) :args ((or _let_34 _let_553 _let_132 _let_149 _let_371 _let_537 _let_160 _let_532 _let_529 _let_912 _let_1000 _let_999))) (MACRO_RESOLUTION_TRUST _let_998 _let_926 _let_1068 _let_997 :args (_let_54 true _let_270 true _let_267 false _let_271)) (MACRO_RESOLUTION_TRUST _let_996 _let_1068 _let_995 :args (_let_53 true _let_267 false _let_269)) _let_1065 _let_1056 _let_183 _let_178 _let_173 _let_169 _let_159 _let_146 _let_129 _let_67 :args (false false _let_54 false _let_53 false _let_52 false _let_51 false _let_50 false _let_49 false _let_46 false _let_45 false _let_42 false _let_40 false _let_37 true _let_34)) :args (_let_31 _let_30 _let_27 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.impl A B) (tptp.phi B)))) _let_19 _let_18 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.lazy_impl A B) (tptp.phi A)))) _let_17 _let_16 (forall ((A $$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 $$unsorted)) (=> (tptp.bool B) (= (tptp.and1 tptp.true B) B))) (forall ((P $$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)))) (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))))))) (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_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))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.or1 A B) (tptp.phi A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.or1 A B) (tptp.phi B)))) (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 $$unsorted)) (tptp.forallprefers (tptp.f3 P Q R1) (tptp.f3 P Q R))))))) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_3 (forall ((P $$unsorted)) (= (tptp.not2 P) (tptp.impl P tptp.false2))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 62.17/62.39 )
% 62.17/62.39 % SZS output end Proof for SWW100+1
% 62.17/62.39 % cvc5---1.0.5 exiting
% 62.17/62.39 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------