TSTP Solution File: GEO623+1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO623+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 : Wed Aug 30 22:51:57 EDT 2023

% Result   : Theorem 12.83s 13.04s
% Output   : Proof 12.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO623+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 21:06:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 12.83/13.04  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4q80fDnwvi/cvc5---1.0.5_8247.p...
% 12.83/13.04  ------- get file name : TPTP file name is GEO623+1
% 12.83/13.04  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8247.smt2...
% 12.83/13.04  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.83/13.04  --- Run --no-e-matching --full-saturate-quant at 5...
% 12.83/13.04  % SZS status Theorem for GEO623+1
% 12.83/13.04  % SZS output start Proof for GEO623+1
% 12.83/13.04  (
% 12.83/13.04  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.midp D C A) (tptp.midp E B C) (tptp.midp F A B) (tptp.eqangle G B B C G B B A) (tptp.coll G D F) (tptp.coll H B G) (tptp.coll H D E)) (tptp.cong D G D H)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqratio A B C D P Q U V) (tptp.cong P Q U V)) (tptp.cong A B C D))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.perp P Q U V)) (tptp.perp A B C D))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.para P Q U V)) (tptp.para A B C D))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.cong A B A C) (tptp.coll A B C)) (tptp.midp A B C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.para A B A C) (tptp.coll A B C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (=> (and (tptp.para A B C D) (tptp.coll O A C) (tptp.coll O B D)) (tptp.eqratio O A A C O B B D))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (=> (and (tptp.midp M A B) (tptp.para A C B D) (tptp.para A D B C)) (tptp.midp M C D))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp M C D)) (tptp.para A C B D))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.cong A P B P) (tptp.cong A Q B Q)) (tptp.perp A B P Q))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.para A B C D)) (tptp.eqangle A D C D C D C B))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.coll O A C)) (tptp.perp A B B C))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (M $$unsorted)) (=> (and (tptp.perp A B B C) (tptp.midp M A C)) (tptp.cong A M B M))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (X $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.perp O A A X)) (tptp.eqangle A X A B C A C B))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.midp E A B) (tptp.para E F B C) (tptp.coll F A C)) (tptp.midp F A C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.cyclic A B C P) (tptp.cyclic A B C Q) (tptp.cyclic A B C R) (tptp.eqangle C A C B R P R Q)) (tptp.cong A B P Q))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (tptp.coll P Q B)) (tptp.cyclic A B P Q))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (not (tptp.coll P Q A))) (tptp.cyclic A B P Q))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.cyclic A B P Q) (tptp.eqangle P A P B Q A Q B))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.para A B C D) (tptp.eqangle A B P Q C D P Q))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.eqangle A B P Q C D P Q) (tptp.para A B C D))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.cong A B C D) (tptp.cong C D E F)) (tptp.cong A B E F))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cong A B C D) (tptp.cong C D A B))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cong A B C D) (tptp.cong A B D C))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle A B P Q C D U V))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle P Q U V A B C D))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle B A C D P Q U V))))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.cyclic A B C E)) (tptp.cyclic B C D E))))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic B A C D))))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic A C B D))))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic A B D C))))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.cong O A O C)) (tptp.circle O A B C))))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.perp A B C D) (tptp.perp C D E F)) (tptp.para A B E F))))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.para A B C D) (tptp.para C D E F)) (tptp.para A B E F))))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para C D A B))))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para A B D C))))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.coll A B C) (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll B A C))))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll A C B))))) (let ((_let_40 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_41 (tptp.eqratio SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_42 (not _let_40))) (let ((_let_43 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_42 _let_41))) (let ((_let_48 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_49 _let_40))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.coll A B C)) (not (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_48))) (let ((_let_57 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.coll A B C)) (tptp.coll A C B))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_61 _let_54))) (let ((_let_63 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_60))) (let ((_let_66 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_63))) (let ((_let_69 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_70 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_63 _let_69))) (let ((_let_73 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_66))) (let ((_let_76 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_77 (not _let_69))) (let ((_let_78 (or _let_77 _let_76))) (let ((_let_79 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_80 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_81 (not _let_79))) (let ((_let_82 (or _let_81 _let_81 _let_77 _let_71 _let_80))) (let ((_let_83 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_84 (not _let_76))) (let ((_let_85 (or _let_84 _let_83))) (let ((_let_86 (tptp.circle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_87 (not _let_80))) (let ((_let_88 (or _let_87 _let_87 _let_86))) (let ((_let_89 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_90 (not _let_83))) (let ((_let_91 (or _let_90 _let_89))) (let ((_let_92 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_93 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_94 (not _let_92))) (let ((_let_95 (not _let_86))) (let ((_let_96 (or _let_95 _let_94 _let_93))) (let ((_let_97 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_98 (not _let_97))) (let ((_let_99 (not _let_93))) (let ((_let_100 (or _let_99 _let_98 _let_73))) (let ((_let_101 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_102 (not _let_89))) (let ((_let_103 (or _let_102 _let_99 _let_101))) (let ((_let_104 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_87 _let_105 _let_97))) (let ((_let_107 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_108 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_109 (not _let_107))) (let ((_let_110 (not _let_101))) (let ((_let_111 (or _let_110 _let_109 _let_108))) (let ((_let_112 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_113 (not _let_108))) (let ((_let_114 (or _let_113 _let_112))) (let ((_let_115 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_116 (not _let_112))) (let ((_let_117 (or _let_116 _let_115))) (let ((_let_118 (not _let_115))) (let ((_let_119 (or _let_118 _let_116 _let_104))) (let ((_let_120 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.para A B A C)) (tptp.coll A B C))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.eqangle P A P B Q A Q B)) (tptp.coll P Q A) (tptp.cyclic A B P Q))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM))) (let ((_let_127 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_70))) (let ((_let_130 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle A B P Q C D U V))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (_let_130))) (let ((_let_133 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_127))) (let ((_let_136 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.para A B C D)) (tptp.eqangle A B P Q C D P Q))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_136))) (let ((_let_139 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_140 _let_133))) (let ((_let_142 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (or (not (tptp.midp M A B)) (not (tptp.midp M C D)) (tptp.para A C B D))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (_let_142))) (let ((_let_145 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_146 (not _let_145))) (let ((_let_147 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_146 _let_146 _let_139))) (let ((_let_150 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (or (not (tptp.midp M A B)) (not (tptp.para A C B D)) (not (tptp.para A D B C)) (tptp.midp M C D))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (_let_150))) (let ((_let_153 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_156 _let_154 _let_145))) (let ((_let_158 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (not (tptp.para P Q U V)) (tptp.para A B C D))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_161 (not _let_160))) (let ((_let_162 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_163 _let_161 _let_155))) (let ((_let_165 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (not (tptp.para A B C D)) (tptp.eqangle A D C D C D C B))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_168 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_169 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_170 _let_168 _let_162))) (let ((_let_172 (not _let_168))) (let ((_let_173 (or _let_170 _let_172 _let_162))) (let ((_let_174 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_175 _let_169))) (let ((_let_177 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_178 (not _let_177))) (let ((_let_179 (or _let_178 _let_174))) (let ((_let_180 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_181 (not _let_180))) (let ((_let_182 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_183 (not _let_182))) (let ((_let_184 (or _let_183 _let_181 _let_177))) (let ((_let_185 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.para A B C D)) (not (tptp.para C D E F)) (tptp.para A B E F))))) (let ((_let_186 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_187 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_188 (not _let_187))) (let ((_let_189 (or _let_188 _let_188 _let_182))) (let ((_let_190 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_191 (or (not (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_188 (not (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) _let_190))) (let ((_let_192 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (or (not (tptp.midp D C A)) (not (tptp.midp E B C)) (not (tptp.midp F A B)) (not (tptp.eqangle G B B C G B B A)) (not (tptp.coll G D F)) (not (tptp.coll H B G)) (not (tptp.coll H D E)) (tptp.cong D G D H))))) (let ((_let_193 (not _let_191))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_195 (or))) (let ((_let_196 (not _let_192))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_194) :args (_let_196))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_196) _let_192))) (REFL :args (_let_193)) :args _let_195)) _let_194 :args (_let_193 true _let_192)))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_189))) :args ((or _let_188 _let_182 (not _let_189)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_191 2)) (CONG (REFL :args (_let_191)) (MACRO_SR_PRED_INTRO :args ((= (not _let_188) _let_187))) :args _let_195)) :args ((or _let_187 _let_191))) _let_197 :args (_let_187 true _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_144)) _let_143 :args (_let_189 false _let_142)) :args (_let_182 false _let_187 false _let_189)))) (let ((_let_199 (or _let_183 _let_180))) (let ((_let_200 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.para A B C D)) (tptp.para C D A B))))) (let ((_let_201 (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_202 (_let_200))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_184)) :args ((or _let_177 _let_181 _let_183 (not _let_184)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_180 _let_183 (not _let_199)))) _let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_202)) _let_201 :args (_let_199 false _let_200)) :args (_let_180 false _let_182 false _let_199)) _let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_185))) _let_186 :args (_let_184 false _let_185)) :args (_let_177 false _let_180 false _let_182 false _let_184)))) (let ((_let_204 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_169 _let_175 (not _let_176)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_178 _let_174 (not _let_179)))) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_138)) _let_137 :args (_let_179 false _let_136)) :args (_let_174 false _let_177 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_132)) _let_131 :args (_let_176 false _let_130)) :args (_let_169 false _let_174 false _let_176)))) (let ((_let_205 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.eqangle P A P B Q A Q B)) (not (tptp.coll P Q B)) (tptp.cyclic A B P Q))))) (let ((_let_206 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_207 (_let_205))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_162 _let_170 _let_172 (not _let_173)))) _let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_206 :args _let_167) :args _let_207)) _let_206 :args (_let_173 false _let_205)) (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_162 _let_168 _let_170 (not _let_171)))) _let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_167) :args _let_125)) _let_124 :args (_let_171 false _let_123)) :args (_let_162 false _let_169 false _let_173 false _let_168 false _let_169 false _let_171)))) (let ((_let_209 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_210 (not _let_209))) (let ((_let_211 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_212 (not _let_211))) (let ((_let_213 (or _let_212 _let_210 _let_160))) (let ((_let_214 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.perp A B C D)) (not (tptp.perp C D E F)) (tptp.para A B E F))))) (let ((_let_215 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_216 (_let_214))) (let ((_let_217 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_218 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_219 (not _let_218))) (let ((_let_220 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_221 (not _let_220))) (let ((_let_222 (or _let_221 _let_219 _let_209))) (let ((_let_223 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.cong A P B P)) (not (tptp.cong A Q B Q)) (tptp.perp A B P Q))))) (let ((_let_224 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_225 (_let_223))) (let ((_let_226 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_227 (or _let_163 _let_226))) (let ((_let_228 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_229 (or _let_163 _let_163 _let_228))) (let ((_let_230 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_231 (not _let_226))) (let ((_let_232 (or _let_231 _let_230))) (let ((_let_233 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_234 (not _let_228))) (let ((_let_235 (or _let_231 _let_234 _let_233))) (let ((_let_236 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_237 (not _let_236))) (let ((_let_238 (not _let_230))) (let ((_let_239 (not _let_233))) (let ((_let_240 (or _let_238 _let_239 _let_238 _let_237 _let_218))) (let ((_let_241 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic A B D C))))) (let ((_let_242 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_243 (_let_241))) (let ((_let_244 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.cyclic A B C D)) (not (tptp.cyclic A B C E)) (tptp.cyclic B C D E))))) (let ((_let_245 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_246 (_let_244))) (let ((_let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_245 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_246)) _let_245 :args (_let_229 false _let_244)))) (let ((_let_248 (REORDERING (FACTORING (CNF_OR_POS :args (_let_229))) :args ((or _let_163 _let_228 (not _let_229)))))) (let ((_let_249 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic A C B D))))) (let ((_let_250 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_251 (_let_249))) (let ((_let_252 (or _let_178 _let_236))) (let ((_let_253 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.cyclic A B C P)) (not (tptp.cyclic A B C Q)) (not (tptp.cyclic A B C R)) (not (tptp.eqangle C A C B R P R Q)) (tptp.cong A B P Q))))) (let ((_let_254 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_255 (_let_253))) (let ((_let_256 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_257 (not _let_256))) (let ((_let_258 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_259 (not _let_258))) (let ((_let_260 (or _let_259 _let_259 _let_259 _let_257 _let_220))) (let ((_let_261 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_262 (or _let_178 _let_256))) (let ((_let_263 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_256 _let_178 (not _let_262)))) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_261) :args _let_138)) _let_137 :args (_let_262 false _let_136)) :args (_let_256 false _let_177 false _let_262)))) (let ((_let_264 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_265 (not _let_264))) (let ((_let_266 (or _let_257 _let_265 _let_258))) (let ((_let_267 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_268 (or _let_178 _let_264))) (let ((_let_269 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_270 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_268)) :args ((or _let_264 _let_178 (not _let_268)))) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_269) :args _let_122)) _let_121 :args (_let_268 false _let_120)) :args (_let_264 false _let_177 false _let_268)))) (let ((_let_271 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_260))) :args ((or _let_220 _let_259 _let_257 (not _let_260)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_266)) :args ((or _let_258 _let_265 _let_257 (not _let_266)))) _let_270 _let_263 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_206 :args _let_267) :args _let_207)) _let_206 :args (_let_266 false _let_205)) :args (_let_258 false _let_264 false _let_256 false _let_266)) _let_263 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_254 :args _let_261) :args _let_255)) _let_254 :args (_let_260 false _let_253)) :args (_let_220 false _let_258 false _let_256 false _let_260)))) (let ((_let_272 (or _let_221 _let_221 _let_211))) (let ((_let_273 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_212 _let_210 _let_160 (not _let_213)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_272))) :args ((or _let_211 _let_221 (not _let_272)))) _let_271 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_267) :args _let_225)) _let_224 :args (_let_272 false _let_223)) :args (_let_211 false _let_220 false _let_272)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_222)) :args ((or _let_221 _let_209 _let_219 (not _let_222)))) _let_271 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_240))) :args ((or _let_218 _let_237 _let_239 _let_238 (not _let_240)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_254 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_255)) _let_254 :args (_let_240 false _let_253)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_178 _let_236 (not _let_252)))) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_217) :args _let_138)) _let_137 :args (_let_252 false _let_136)) :args (_let_236 false _let_177 false _let_252)) (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_231 _let_234 _let_233 (not _let_235)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_245 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_246)) _let_245 :args (_let_235 false _let_244)) (REORDERING (CNF_OR_POS :args (_let_232)) :args ((or _let_231 _let_230 (not _let_232)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_250 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_251)) _let_250 :args (_let_232 false _let_249)) _let_248 _let_247 (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_163 _let_226 (not _let_227)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args _let_167) :args _let_243)) _let_242 :args (_let_227 false _let_241)) :args ((or _let_163 _let_218) false _let_240 false _let_236 false _let_233 false _let_235 false _let_230 false _let_232 false _let_228 false _let_229 false _let_226 false _let_227)) _let_208 :args (_let_218 false _let_162)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_167) :args _let_225)) _let_224 :args (_let_222 false _let_223)) :args (_let_209 false _let_220 false _let_218 false _let_222)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args _let_217) :args _let_216)) _let_215 :args (_let_213 false _let_214)) :args (_let_160 false _let_211 false _let_209 false _let_213)))) (let ((_let_274 (or _let_161 _let_153))) (let ((_let_275 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_274)) :args ((or _let_161 _let_153 (not _let_274)))) _let_273 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args _let_167) :args _let_202)) _let_201 :args (_let_274 false _let_200)) :args (_let_153 false _let_160 false _let_274)))) (let ((_let_276 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_154 _let_156 _let_145 (not _let_157)))) _let_275 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_161 _let_163 _let_155 (not _let_164)))) _let_273 _let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args _let_167) :args (_let_165))) _let_166 :args (_let_164 false _let_165)) :args (_let_155 false _let_160 false _let_162 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_158))) _let_159 :args (_let_157 false _let_158)) :args (_let_145 false _let_153 false _let_155 false _let_157)))) (let ((_let_277 (or _let_221 _let_265 _let_147))) (let ((_let_278 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.cong A B A C)) (not (tptp.coll A B C)) (tptp.midp A B C))))) (let ((_let_279 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_280 (_let_278))) (let ((_let_281 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_147 _let_265 _let_221 (not _let_277)))) _let_270 _let_271 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args _let_269) :args _let_280)) _let_279 :args (_let_277 false _let_278)) :args (_let_147 false _let_264 false _let_220 false _let_277)))) (let ((_let_282 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_70 _let_128 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_134 _let_127 (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_141))) :args ((or _let_140 _let_133 (not _let_141)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_149))) :args ((or _let_148 _let_146 _let_139 (not _let_149)))) _let_281 _let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_152)) _let_151 :args (_let_149 false _let_150)) :args (_let_139 false _let_147 false _let_145 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_144)) _let_143 :args (_let_141 false _let_142)) :args (_let_133 false _let_139 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_138)) _let_137 :args (_let_135 false _let_136)) :args (_let_127 false _let_133 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_132)) _let_131 :args (_let_129 false _let_130)) :args (_let_70 false _let_127 false _let_129)))) (let ((_let_283 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args _let_126) :args _let_243)) _let_242 :args (_let_78 false _let_241)))) (let ((_let_284 (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_76 (not _let_78)))))) (let ((_let_285 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_286 (not _let_285))) (let 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((_let_301 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_298 :args _let_300) :args _let_299)) _let_298 :args (_let_88 false _let_297)))) (let ((_let_302 (REORDERING (FACTORING (CNF_OR_POS :args (_let_88))) :args ((or _let_87 _let_86 (not _let_88)))))) (let ((_let_303 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle B A C D P Q U V))))) (let ((_let_304 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_305 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_152)) _let_151 :args (_let_328 false _let_150)) :args (_let_107 false _let_326 false _let_145 false _let_328)))) (let ((_let_340 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (M $$unsorted)) (or (not (tptp.perp A B B C)) (not (tptp.midp M A C)) (tptp.cong A M B M))))) (let ((_let_341 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_342 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_340))) _let_341 :args (_let_111 false _let_340)))) (let ((_let_343 (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_109 _let_108 _let_110 (not _let_111)))))) (let ((_let_344 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) 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:args _let_126) :args _let_351)) _let_350 :args (_let_117 false _let_349)))) (let ((_let_353 (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_115 (not _let_117)))))) (let ((_let_354 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.cong A B C D)) (not (tptp.cong C D E F)) (tptp.cong A B E F))))) (let ((_let_355 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_356 (_let_354))) (let ((_let_357 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_356)) _let_355 :args (_let_119 false _let_354)))) (let ((_let_358 (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_116 _let_104 _let_118 (not _let_119)))))) (let ((_let_359 (MACRO_RESOLUTION_TRUST _let_358 _let_357 _let_353 _let_352 _let_348 _let_347 _let_343 _let_342 _let_339 (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_97 _let_87 _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_126) :args _let_225)) _let_224 :args (_let_106 false _let_223)) _let_325 _let_324 (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_73 _let_99 _let_98 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_216)) _let_215 :args (_let_100 false _let_214)) _let_321 _let_320 _let_317 _let_306 _let_305 _let_302 _let_301 _let_296 _let_295 _let_291 _let_290 _let_282 _let_289 _let_284 _let_283 (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_66 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args _let_126) :args _let_202)) _let_201 :args (_let_75 false _let_200)) (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_63 _let_69 _let_71 (not _let_72)))) _let_282 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_126) :args _let_125)) _let_124 :args (_let_72 false _let_123)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_63 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_122)) _let_121 :args (_let_68 false _let_120)) :args (_let_63 false _let_119 false _let_115 false _let_117 false _let_112 false _let_114 false _let_108 false _let_111 false _let_107 true _let_104 false _let_106 false _let_101 false _let_103 true _let_97 false _let_100 false _let_93 false _let_96 false _let_92 false _let_89 false _let_91 false _let_86 false _let_88 false _let_83 false _let_85 false _let_80 false _let_82 false _let_70 false _let_79 false _let_76 false _let_78 true _let_73 false _let_75 false _let_69 false _let_70 false _let_72 true _let_66 false _let_68)))) (let ((_let_360 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_48 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_62))) :args ((or _let_61 _let_54 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_60 _let_64 (not _let_65)))) _let_359 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) _let_58 :args (_let_65 false _let_57)) :args (_let_60 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_53)) _let_52 :args (_let_62 false _let_51)) :args (_let_54 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) _let_58 :args (_let_56 false _let_57)) :args (_let_48 false _let_54 false _let_56)))) (let ((_let_361 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_362 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_363 (not _let_362))) (let ((_let_364 (not _let_41))) (let ((_let_365 (or _let_364 _let_363 _let_361))) (let ((_let_366 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqratio A B C D P Q U V)) (not (tptp.cong P Q U V)) (tptp.cong A B C D))))) (let ((_let_367 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_368 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_369 (not _let_361))) (let ((_let_370 (or _let_369 _let_368))) (let ((_let_371 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_ENUM))) (let ((_let_372 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_373 (not _let_372))) (let ((_let_374 (not _let_368))) (let ((_let_375 (or _let_374 _let_373 _let_190))) (let ((_let_376 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_377 (not _let_376))) (let ((_let_378 (or _let_377 _let_372))) (let ((_let_379 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM))) (let ((_let_380 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_381 (not _let_380))) (let ((_let_382 (or _let_381 _let_376))) (let ((_let_383 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_384 (not _let_383))) (let ((_let_385 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_386 (not _let_385))) (let ((_let_387 (or _let_386 _let_386 _let_386 _let_384 _let_380))) (let ((_let_388 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_389 (not _let_388))) (let ((_let_390 (or _let_389 _let_385))) (let ((_let_391 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic B A C D))))) (let ((_let_392 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_393 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_394 (not _let_393))) (let ((_let_395 (or _let_394 _let_388))) (let ((_let_396 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_397 (not _let_396))) (let ((_let_398 (or _let_397 _let_393))) (let ((_let_399 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_ENUM))) (let ((_let_400 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_401 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_402 (not _let_401))) (let ((_let_403 (or _let_402 _let_400))) (let ((_let_404 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_405 (not _let_404))) (let ((_let_406 (or _let_405 _let_401))) (let ((_let_407 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_408 (not _let_407))) (let ((_let_409 (or _let_408 _let_408 _let_404))) (let ((_let_410 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_411 (not _let_410))) (let ((_let_412 (or _let_105 _let_411 _let_407))) (let ((_let_413 (or _let_71 _let_64 _let_69))) (let ((_let_414 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_413)) :args ((or _let_64 _let_69 _let_71 (not _let_413)))) _let_359 _let_282 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_206 :args _let_126) :args _let_207)) _let_206 :args (_let_413 false _let_205)) :args (_let_69 false _let_63 false _let_70 false _let_413)))) (let ((_let_415 (MACRO_RESOLUTION_TRUST _let_348 (MACRO_RESOLUTION_TRUST _let_343 _let_339 (MACRO_RESOLUTION_TRUST _let_325 (MACRO_RESOLUTION_TRUST _let_321 _let_317 (MACRO_RESOLUTION_TRUST _let_302 (MACRO_RESOLUTION_TRUST _let_291 _let_289 _let_414 _let_282 _let_290 :args (_let_80 false _let_79 false _let_69 false _let_70 false _let_82)) _let_301 :args (_let_86 false _let_80 false _let_88)) _let_320 :args (_let_93 false _let_92 false _let_86 false _let_96)) (MACRO_RESOLUTION_TRUST _let_306 (MACRO_RESOLUTION_TRUST _let_296 (MACRO_RESOLUTION_TRUST _let_284 _let_414 _let_283 :args (_let_76 false _let_69 false _let_78)) _let_295 :args (_let_83 false _let_76 false _let_85)) _let_305 :args (_let_89 false _let_83 false _let_91)) _let_324 :args (_let_101 false _let_93 false _let_89 false _let_103)) _let_342 :args (_let_108 false _let_107 false _let_101 false _let_111)) _let_347 :args (_let_112 false _let_108 false _let_114)))) (let ((_let_416 (or _let_49 _let_410))) (let ((_let_417 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_409))) :args ((or _let_408 _let_404 (not _let_409)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_412)) :args ((or _let_411 _let_105 _let_407 (not _let_412)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_416)) :args ((or _let_410 _let_49 (not _let_416)))) _let_360 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_314 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_315)) _let_314 :args (_let_416 false _let_313)) :args (_let_410 false _let_48 false _let_416)) (MACRO_RESOLUTION_TRUST _let_358 _let_415 (MACRO_RESOLUTION_TRUST _let_353 _let_415 _let_352 :args (_let_115 false _let_112 false _let_117)) _let_357 :args (_let_104 false _let_112 false _let_115 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_280)) _let_279 :args (_let_412 false _let_278)) :args (_let_407 false _let_410 false _let_104 false _let_412)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_144)) _let_143 :args (_let_409 false _let_142)) :args (_let_404 false _let_407 false _let_409)))) (let ((_let_418 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_419 (not _let_418))) (let ((_let_420 (not _let_400))) (let ((_let_421 (or _let_420 _let_419 _let_396))) (let ((_let_422 (or _let_420 _let_418 _let_396))) (let ((_let_423 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_422)) :args ((or _let_396 _let_418 _let_420 (not _let_422)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_399) :args _let_125)) _let_124 :args (_let_422 false _let_123)) (REORDERING (CNF_OR_POS :args (_let_421)) :args ((or _let_396 _let_419 _let_420 (not _let_421)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_206 :args _let_399) :args _let_207)) _let_206 :args (_let_421 false _let_205)) :args ((or _let_396 _let_420) false _let_422 true _let_418 false _let_421)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_403)) :args ((or _let_400 _let_402 (not _let_403)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_406)) :args ((or _let_405 _let_401 (not _let_406)))) _let_417 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_138)) _let_137 :args (_let_406 false _let_136)) :args (_let_401 false _let_404 false _let_406)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_132)) _let_131 :args (_let_403 false _let_130)) :args (_let_400 false _let_401 false _let_403)) :args (_let_396 false _let_400)))) (let ((_let_424 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_398)) :args ((or _let_397 _let_393 (not _let_398)))) _let_423 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args _let_399) :args _let_243)) _let_242 :args (_let_398 false _let_241)) :args (_let_393 false _let_396 false _let_398)))) (let ((_let_425 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_395)) :args ((or _let_394 _let_388 (not _let_395)))) _let_424 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_250 :args _let_379) :args _let_251)) _let_250 :args (_let_395 false _let_249)) :args (_let_388 false _let_393 false _let_395)))) (let ((_let_426 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_427 (not _let_426))) (let ((_let_428 (tptp.circle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_429 (not _let_428))) (let ((_let_430 (or _let_429 _let_427 _let_383))) (let ((_let_431 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (X $$unsorted)) (or (not (tptp.circle O A B C)) (not (tptp.perp O A A X)) (tptp.eqangle A X A B C A C B))))) (let ((_let_432 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_433 (_let_431))) (let ((_let_434 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_435 (not _let_434))) (let ((_let_436 (or _let_363 _let_435 _let_426))) (let ((_let_437 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_438 (not _let_437))) (let ((_let_439 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_440 (not _let_439))) (let ((_let_441 (or _let_389 _let_440 _let_389 _let_438 _let_434))) (let ((_let_442 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_443 (not _let_442))) (let ((_let_444 (or _let_394 _let_443 _let_439))) (let ((_let_445 (or _let_397 _let_397 _let_442))) (let ((_let_446 (or _let_405 _let_437))) (let ((_let_447 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_448 (not _let_447))) (let ((_let_449 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_450 (not _let_449))) (let ((_let_451 (or _let_450 _let_450 _let_450 _let_448 _let_362))) (let ((_let_452 (or _let_450 _let_447))) (let ((_let_453 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM))) (let ((_let_454 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_455 (not _let_454))) (let ((_let_456 (or _let_455 _let_449))) (let ((_let_457 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_458 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_459 (not _let_458))) (let ((_let_460 (or _let_459 _let_457))) (let ((_let_461 (or _let_405 _let_458))) (let ((_let_462 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_463 (not _let_462))) (let ((_let_464 (not _let_457))) (let ((_let_465 (or _let_464 _let_463 _let_454))) (let ((_let_466 (or _let_464 _let_462 _let_454))) (let ((_let_467 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_466)) :args ((or _let_462 _let_454 _let_464 (not _let_466)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_371) :args _let_125)) _let_124 :args (_let_466 false _let_123)) (REORDERING (CNF_OR_POS :args (_let_465)) :args ((or _let_454 _let_464 _let_463 (not _let_465)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_206 :args _let_371) :args _let_207)) _let_206 :args (_let_465 false _let_205)) :args ((or _let_454 _let_464) false _let_466 true _let_462 false _let_465)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_460)) :args ((or _let_457 _let_459 (not _let_460)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_461)) :args ((or _let_405 _let_458 (not _let_461)))) _let_417 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_138)) _let_137 :args (_let_461 false _let_136)) :args (_let_458 false _let_404 false _let_461)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_132)) _let_131 :args (_let_460 false _let_130)) :args (_let_457 false _let_458 false _let_460)) :args (_let_454 false _let_457)))) (let ((_let_468 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_456)) :args ((or _let_455 _let_449 (not _let_456)))) _let_467 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args _let_371) :args _let_243)) _let_242 :args (_let_456 false _let_241)) :args (_let_449 false _let_454 false _let_456)))) (let ((_let_469 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_451))) :args ((or _let_362 _let_450 _let_448 (not _let_451)))) _let_468 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_452)) :args ((or _let_450 _let_447 (not _let_452)))) _let_468 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args _let_453) :args _let_294)) _let_293 :args (_let_452 false _let_292)) :args (_let_447 false _let_449 false _let_452)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_254 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_255)) _let_254 :args (_let_451 false _let_253)) :args (_let_362 false _let_449 false _let_447 false _let_451)))) (let ((_let_470 (or _let_363 _let_363 _let_428))) (let ((_let_471 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_470))) :args ((or _let_363 _let_428 (not _let_470)))) _let_469 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_298 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_299)) _let_298 :args (_let_470 false _let_297)) :args (_let_428 false _let_362 false _let_470)))) (let ((_let_472 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (or (not (tptp.para A B C D)) (not (tptp.coll O A C)) (not (tptp.coll O B D)) (tptp.eqratio O A A C O B B D))))) (let ((_let_473 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_474 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_475 (not _let_474))) (let ((_let_476 (or _let_475 _let_43))) (let ((_let_477 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_478 (not _let_477))) (let ((_let_479 (or _let_478 _let_474))) (let ((_let_480 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.eqangle A B P Q C D P Q)) (tptp.para A B C D))))) (let ((_let_481 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_482 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_483 (not _let_482))) (let ((_let_484 (or _let_483 _let_477))) (let ((_let_485 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle P Q U V A B C D))))) (let ((_let_486 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_487 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_488 (not _let_487))) (let ((_let_489 (or _let_429 _let_488 _let_482))) (let ((_let_490 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_491 (not _let_490))) (let ((_let_492 (or _let_363 _let_491 _let_487))) (let ((_let_493 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_494 (not _let_493))) (let ((_let_495 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_496 (not _let_495))) (let ((_let_497 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_498 (not _let_497))) (let ((_let_499 (or _let_496 _let_498 _let_496 _let_494 _let_490))) (let ((_let_500 (or _let_450 _let_495))) (let ((_let_501 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_502 (not _let_501))) (let ((_let_503 (or _let_450 _let_502 _let_497))) (let ((_let_504 (or _let_455 _let_455 _let_501))) (let ((_let_505 (or _let_405 _let_493))) (let ((_let_506 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_479)) :args ((or _let_474 _let_478 (not _let_479)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_484)) :args ((or _let_477 _let_483 (not _let_484)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_489)) :args ((or _let_429 _let_488 _let_482 (not _let_489)))) _let_471 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_492)) :args ((or _let_363 _let_487 _let_491 (not _let_492)))) _let_469 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_499))) :args ((or _let_490 _let_494 _let_498 _let_496 (not _let_499)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_505)) :args ((or _let_405 _let_493 (not _let_505)))) _let_417 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_ENUM)) :args _let_138)) _let_137 :args (_let_505 false _let_136)) :args (_let_493 false _let_404 false _let_505)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_503)) :args ((or _let_450 _let_502 _let_497 (not _let_503)))) _let_468 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_504))) :args ((or _let_455 _let_501 (not _let_504)))) _let_467 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_245 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_246)) _let_245 :args (_let_504 false _let_244)) :args (_let_501 false _let_454 false _let_504)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_245 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_246)) _let_245 :args (_let_503 false _let_244)) :args (_let_497 false _let_449 false _let_501 false _let_503)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_500)) :args ((or _let_450 _let_495 (not _let_500)))) _let_468 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_250 :args _let_453) :args _let_251)) _let_250 :args (_let_500 false _let_249)) :args (_let_495 false _let_449 false _let_500)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_254 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_255)) _let_254 :args (_let_499 false _let_253)) :args (_let_490 false _let_493 false _let_497 false _let_495 false _let_499)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_371) :args _let_225)) _let_224 :args (_let_492 false _let_223)) :args (_let_487 false _let_362 false _let_490 false _let_492)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_ENUM)) :args _let_433)) _let_432 :args (_let_489 false _let_431)) :args (_let_482 false _let_428 false _let_487 false _let_489)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_486 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_485))) _let_486 :args (_let_484 false _let_485)) :args (_let_477 false _let_482 false _let_484)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_481 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args (_let_480))) _let_481 :args (_let_479 false _let_480)) :args (_let_474 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C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.simtri A B C P Q R) (tptp.eqratio A B A C P Q P R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.simtri A B C P Q R) (tptp.eqangle A B B C P Q Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.simtri A B C P Q R) (tptp.cong A B P Q)) (tptp.contri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.contri A B C P Q R) (tptp.cong A B P Q))) _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.midp A B C) (tptp.cong A B A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.midp A B C) (tptp.coll A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D)) (tptp.eqratio M A A B N C C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.eqangle A B C D C D A B) (not (tptp.para A B C D))) (tptp.perp A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.eqangle A B C D C D A B) (not (tptp.perp A B C D))) (tptp.para A B C D))) _let_4 _let_3 _let_2 (forall ((A $$unsorted) (M $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((B $$unsorted)) (=> (and (tptp.perp O M M A) (tptp.eqangle X O M O M O A O)) (and (tptp.coll B A M) (tptp.coll B O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.eqangle A O O X O X O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.perp O X A B) (tptp.eqangle A O O X O X O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.perp O X A B) (tptp.cong O A O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (X $$unsorted) (Y $$unsorted)) (exists ((Q $$unsorted)) (=> (and (tptp.eqangle A P B P A X B Y) (not (tptp.coll A B P))) (and (tptp.eqangle A P B P A Q B Q) (tptp.cyclic X B P Q))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D)) (and (tptp.midp P A D) (tptp.para P M B D) (tptp.para P N A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted) (Q $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D) (tptp.coll C A B) (tptp.coll D A B)) (tptp.midp P A Q)))) (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted) (M $$unsorted)) (exists ((X $$unsorted)) (=> (and (tptp.midp M A B) (tptp.para A P R M) (tptp.para A P B Q) (tptp.coll P Q R)) (and (tptp.coll X A Q) (tptp.coll X M R))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.cong O C O D) (tptp.perp A B B O)) (and (tptp.cong O C O P) (tptp.para P C A B) (tptp.cong B C B P))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (H $$unsorted)) (exists ((P $$unsorted) (Q $$unsorted)) (=> (and (tptp.perp A H B C) (tptp.perp B H A C)) (and (tptp.coll P C B) (tptp.perp A P C B) (tptp.coll Q C A) (tptp.perp B Q C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (exists ((P $$unsorted)) (=> (tptp.circle O A B C) (tptp.perp P A A O)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (exists ((P $$unsorted) (Q $$unsorted)) (=> (and (tptp.circle M A B C) (tptp.cong M A M D) (tptp.cong N A N B) (not (= M N))) (and (tptp.coll P A C) (tptp.cong P N N A) (tptp.coll Q B D) (tptp.cong Q N N A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (exists ((O $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.para A B C D) (tptp.midp M A B)) (tptp.circle O A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (exists ((O $$unsorted)) (=> (and (tptp.perp A C C B) (tptp.cyclic A B C D)) (tptp.circle O A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.perp A C C B) (tptp.coll B E F)) (and (tptp.coll P E F) (tptp.perp P A E F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.perp A B A C) (tptp.perp C A C D) (tptp.midp M B D)) (tptp.midp P A C)))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted)) (exists ((C $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.perp A O O B)) (and (tptp.coll A O C) (tptp.cong O A O C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (=> (and (tptp.para A B C D) (tptp.coll P A C) (tptp.coll P B D) (tptp.coll Q A B)) (and (tptp.coll P Q R) (tptp.coll R C D))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.83/13.04  )
% 12.83/13.04  % SZS output end Proof for GEO623+1
% 12.83/13.04  % cvc5---1.0.5 exiting
% 12.91/13.04  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------