%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 22:51:56 EDT 2023

% Result   : Theorem 30.38s 30.70s
% Output   : Proof 30.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 22:10:05 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 30.38/30.70  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0QmgeRZxVA/cvc5---1.0.5_30843.p...
% 30.38/30.70  ------- get file name : TPTP file name is GEO618+1
% 30.38/30.70  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30843.smt2...
% 30.38/30.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.38/30.70  --- Run --no-e-matching --full-saturate-quant at 5...
% 30.38/30.70  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.38/30.70  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.38/30.70  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.38/30.70  % SZS status Theorem for GEO618+1
% 30.38/30.70  % SZS output start Proof for GEO618+1
% 30.38/30.70  (
% 30.38/30.70  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (U $$unsorted) (O $$unsorted) (T $$unsorted)) (=> (and (tptp.eqangle U A A C U A A B) (tptp.coll U B C) (tptp.circle O A B C) (tptp.perp A O A T) (tptp.coll T B C)) (tptp.cong T A T U)))))) (let ((_let_2 (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))))))) (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 $$unsorted)) (=> (tptp.midp A B C) (tptp.cong A B A C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.cong A B A C) (tptp.coll A B C)) (tptp.midp A B C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.para A B A C) (tptp.coll A B C))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.cong A P B P) (tptp.cong A Q B Q)) (tptp.perp A B P Q))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted) (O $$unsorted)) (=> (and (tptp.midp M A B) (tptp.perp O M A B)) (tptp.cong O A O B))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.para A B C D)) (tptp.eqangle A D C D C D C B))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.coll O A C)) (tptp.perp A B B C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (M $$unsorted)) (=> (and (tptp.perp A B B C) (tptp.midp M A C)) (tptp.cong A M B M))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted)) (=> (tptp.cong O A O B) (tptp.eqangle O A A B A B O B))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.midp E A B) (tptp.para E F B C) (tptp.coll F A C)) (tptp.midp F A C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.cyclic A B C P) (tptp.cyclic A B C Q) (tptp.cyclic A B C R) (tptp.eqangle C A C B R P R Q)) (tptp.cong A B P Q))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (tptp.coll P Q B)) (tptp.cyclic A B P Q))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (not (tptp.coll P Q A))) (tptp.cyclic A B P Q))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.cyclic A B P Q) (tptp.eqangle P A P B Q A Q B))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.para A B C D) (tptp.eqangle A B P Q C D P Q))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.eqangle A B P Q C D P Q) (tptp.para A B C D))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cong A B C D) (tptp.cong A B D C))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.eqangle P Q U V E F G H)) (tptp.eqangle A B C D E F G H))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle A B P Q C D U V))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle P Q U V A B C D))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle C D A B U V P Q))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle B A C D P Q U V))))) (let ((_let_27 (forall ((A $$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_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic B A C D))))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic A C B D))))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic A B D C))))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.cong O A O C) (tptp.cong O A O D)) (tptp.cyclic A B C D))))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.midp M B A) (tptp.midp M A B))))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.para A B C D) (tptp.perp C D E F)) (tptp.perp A B E F))))) (let ((_let_34 (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_35 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.perp A B C D) (tptp.perp C D A B))))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.perp A B C D) (tptp.perp A B D C))))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para C D A B))))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para A B D C))))) (let ((_let_39 (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_40 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll B A C))))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll A C B))))) (let ((_let_42 (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_43 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_44 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_43))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_44))) (let ((_let_56 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.para A B C D)) (not (tptp.perp C D E F)) (tptp.perp A B E F))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_53))) (let ((_let_62 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.para A B C D)) (tptp.para A B D C))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_59))) (let ((_let_67 (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_68 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_67))) (let ((_let_70 ((not (= (tptp.eqangle A B P Q C D P Q) false))))) (let ((_let_71 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72 _let_64))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (not (tptp.eqangle P Q U V E F G H)) (tptp.eqangle A B C D E F G H))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80 _let_73))) (let ((_let_84 (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_85 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87 _let_81))) (let ((_let_91 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.cyclic A B C D)) (not (tptp.cyclic A B C E)) (tptp.cyclic B C D E))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_95 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_96 (not _let_94))) (let ((_let_97 (or _let_96 _let_95 _let_88))) (let ((_let_98 (not _let_95))) (let ((_let_99 (or _let_96 _let_98 _let_88))) (let ((_let_100 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101 _let_94))) (let ((_let_105 (or _let_103 _let_100))) (let ((_let_106 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle P Q U V A B C D))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_102))) (let ((_let_111 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle A B P Q C D U V))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_114 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.circle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_109 _let_121 _let_119 _let_117 _let_115 _let_113))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (U $$unsorted) (O $$unsorted) (T $$unsorted)) (or (not (tptp.eqangle U A A C U A A B)) (not (tptp.coll U B C)) (not (tptp.circle O A B C)) (not (tptp.perp A O A T)) (not (tptp.coll T B C)) (tptp.cong T A T U))))) (let ((_let_124 (not _let_122))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (or))) (let ((_let_127 (not _let_123))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_125) :args (_let_127))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_123))) (REFL :args (_let_124)) :args _let_126)) _let_125 :args (_let_124 true _let_123)))) (let ((_let_129 (REFL :args (_let_122)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 0)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_108))) :args _let_126)) :args ((or _let_108 _let_122))) _let_128 :args (_let_108 true _let_122)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_109 _let_102 (not _let_110)))) _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.eqangle A B C D P Q U V) false))))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_102 false _let_108 false _let_110)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_101 _let_94 (not _let_104)))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_103 _let_100 (not _let_105)))) _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.eqangle A B C D P Q U V) false))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_100 false _let_102 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.eqangle A B C D P Q U V) false)) (not (= (tptp.eqangle P Q U V E F G H) false))))) :args _let_78)) _let_77 :args (_let_104 false _let_76)) :args (_let_94 false _let_102 false _let_100 false _let_104)))) (let ((_let_133 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.eqangle P A P B Q A Q B)) (tptp.coll P Q A) (tptp.cyclic A B P Q))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.eqangle P A P B Q A Q B)) (not (tptp.coll P Q B)) (tptp.cyclic A B P Q))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 ((not (= (tptp.eqangle P A P B Q A Q B) false))))) (let ((_let_139 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_140 (not _let_139))) (let ((_let_141 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_140 _let_142 _let_140 _let_86))) (let ((_let_144 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (or (not (tptp.cong O A O B)) (not (tptp.cong O A O C)) (not (tptp.cong O A O D)) (tptp.cyclic A B C D))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_141))) (let ((_let_149 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cong A B C D)) (tptp.cong A B D C))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_152 (not _let_151))) (let ((_let_153 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_152 _let_146))) (let ((_let_156 (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_157 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_140 _let_159 _let_151))) (let ((_let_161 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.cong A B A C)) (not (tptp.coll A B C)) (tptp.midp A B C))))) (let ((_let_162 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_163 (_let_161))) (let ((_let_164 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_165 _let_165 _let_158))) (let ((_let_167 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.coll A B C)) (not (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (_let_167))) (let ((_let_170 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_171 (not _let_170))) (let ((_let_172 (or _let_171 _let_164))) (let ((_let_173 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.coll A B C)) (tptp.coll A C B))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (_let_173))) (let ((_let_176 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_177 (not _let_176))) (let ((_let_178 (or _let_177 _let_177 _let_170))) (let ((_let_179 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_180 (not _let_179))) (let ((_let_181 (or _let_180 _let_176))) (let ((_let_182 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.coll A B C)) (tptp.coll B A C))))) (let ((_let_183 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_184 (_let_182))) (let ((_let_185 ((not (= (tptp.coll A B C) false))))) (let ((_let_186 (or _let_180 (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_187 (forall ((BOUND_VARIABLE_2492 $$unsorted)) (or (not (tptp.coll BOUND_VARIABLE_2492 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_2492 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_188 (not _let_186))) (let ((_let_189 (not _let_187))) (let ((_let_190 (and _let_189 (not (forall ((BOUND_VARIABLE_2494 $$unsorted)) (or (not (tptp.coll BOUND_VARIABLE_2494 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_2494 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (let ((_let_191 (or _let_117 _let_117 _let_190))) (let ((_let_192 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (H $$unsorted)) (or (not (tptp.perp A H B C)) (not (tptp.perp B H A C)) (and (not (forall ((BOUND_VARIABLE_2492 $$unsorted)) (or (not (tptp.coll BOUND_VARIABLE_2492 C B)) (not (tptp.perp A BOUND_VARIABLE_2492 C B))))) (not (forall ((BOUND_VARIABLE_2494 $$unsorted)) (or (not (tptp.coll BOUND_VARIABLE_2494 C A)) (not (tptp.perp B BOUND_VARIABLE_2494 C A)))))))))) (let ((_let_193 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_194 (_let_192))) (let ((_let_195 ((not (= (tptp.perp A H B C) false))))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 3)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_116))) :args _let_126)) :args ((or _let_116 _let_122))) _let_128 :args (_let_116 true _let_122)))) (let ((_let_197 (_let_189))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_178))) :args ((or _let_170 _let_177 (not _let_178)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_180 _let_176 (not _let_181)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_186 0)) (CONG (REFL :args (_let_186)) (MACRO_SR_PRED_INTRO :args ((= (not _let_180) _let_179))) :args _let_126)) :args ((or _let_179 _let_186))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_197)) :args _let_197)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_189) _let_187))) (REFL :args (_let_188)) :args _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_190 0)) :args ((or _let_189 (not _let_190)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_191))) :args ((or _let_117 _let_190 (not _let_191)))) _let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_195)) :args _let_194)) _let_193 :args (_let_191 false _let_192)) :args (_let_190 false _let_116 false _let_191)) :args (_let_189 false _let_190)) :args (_let_188 true _let_187)) :args (_let_179 true _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_185)) :args _let_184)) _let_183 :args (_let_181 false _let_182)) :args (_let_176 false _let_179 false _let_181)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_168 :args (_let_178 false _let_167)) :args (_let_170 false _let_176 false _let_178)))) (let ((_let_199 (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_200 (not _let_199))) (let ((_let_201 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_202 (not _let_201))) (let ((_let_203 (or _let_202 _let_202 _let_202 _let_200 _let_139))) (let ((_let_204 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.cyclic A B C P)) (not (tptp.cyclic A B C Q)) (not (tptp.cyclic A B C R)) (not (tptp.eqangle C A C B R P R Q)) (tptp.cong A B P Q))))) (let ((_let_205 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_206 (_let_204))) (let ((_let_207 (or _let_202 _let_199))) (let ((_let_208 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.cyclic A B P Q)) (tptp.eqangle P A P B Q A Q B))))) (let ((_let_209 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_210 (_let_208))) (let ((_let_211 ((not (= (tptp.cyclic A B P Q) false))))) (let ((_let_212 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_213 (not _let_212))) (let ((_let_214 (or _let_213 _let_213 _let_201))) (let ((_let_215 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_216 (not _let_215))) (let ((_let_217 (or _let_216 _let_212))) (let ((_let_218 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic B A C D))))) (let ((_let_219 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_220 (_let_218))) (let ((_let_221 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_222 (not _let_221))) (let ((_let_223 (or _let_222 _let_222 _let_215))) (let ((_let_224 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_225 (not _let_224))) (let ((_let_226 (or _let_225 _let_221))) (let ((_let_227 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic A C B D))))) (let ((_let_228 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_229 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_230 (not _let_229))) (let ((_let_231 (or _let_230 _let_171 _let_224))) (let ((_let_232 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_233 (not _let_232))) (let ((_let_234 (or _let_233 _let_229))) (let ((_let_235 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.para A B C D)) (tptp.eqangle A B P Q C D P Q))))) (let ((_let_236 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_237 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_238 (not _let_237))) (let ((_let_239 (or _let_238 _let_117 _let_232))) (let ((_let_240 (_let_42))) (let ((_let_241 (or _let_117 _let_237))) (let ((_let_242 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.perp A B C D)) (tptp.perp C D A B))))) (let ((_let_243 (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_244 (_let_242))) (let ((_let_245 ((not (= (tptp.perp A B C D) false))))) (let ((_let_246 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_241)) :args ((or _let_117 _let_237 (not _let_241)))) _let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_245)) :args _let_244)) _let_243 :args (_let_241 false _let_242)) :args (_let_237 false _let_116 false _let_241)))) (let ((_let_247 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_225 _let_221 (not _let_226)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_171 _let_230 _let_224 (not _let_231)))) _let_198 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_233 _let_229 (not _let_234)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_239)) :args ((or _let_117 _let_238 _let_232 (not _let_239)))) _let_196 _let_246 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.perp A B C D) false)) (not (= (tptp.perp C D E F) false))))) :args _let_240)) _let_49 :args (_let_239 false _let_42)) :args (_let_232 false _let_116 false _let_237 false _let_239)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_236 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.eqangle A B P Q C D P Q) true))))) :args (_let_235))) _let_236 :args (_let_234 false _let_235)) :args (_let_229 false _let_232 false _let_234)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_138)) :args _let_137)) _let_136 :args (_let_231 false _let_135)) :args (_let_224 false _let_170 false _let_229 false _let_231)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_227))) _let_228 :args (_let_226 false _let_227)) :args (_let_221 false _let_224 false _let_226)))) (let ((_let_248 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_223))) :args ((or _let_215 _let_222 (not _let_223)))) _let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_92 :args (_let_223 false _let_91)) :args (_let_215 false _let_221 false _let_223)))) (let ((_let_249 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_214))) :args ((or _let_201 _let_213 (not _let_214)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_216 _let_212 (not _let_217)))) _let_248 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cyclic A B C D) false))))) :args _let_220)) _let_219 :args (_let_217 false _let_218)) :args (_let_212 false _let_215 false _let_217)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_92 :args (_let_214 false _let_91)) :args (_let_201 false _let_212 false _let_214)))) (let ((_let_250 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_203))) :args ((or _let_139 _let_202 _let_200 (not _let_203)))) _let_249 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_202 _let_199 (not _let_207)))) _let_249 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)) _let_209 :args (_let_207 false _let_208)) :args (_let_199 false _let_201 false _let_207)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :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_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.cyclic A B C P) false)) (not (= (tptp.cyclic A B C Q) false)) (not (= (tptp.cyclic A B C R) false))))) :args _let_206)) _let_205 :args (_let_203 false _let_204)) :args (_let_139 false _let_201 false _let_199 false _let_203)))) (let ((_let_251 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_140 _let_159 _let_151 (not _let_160)))) _let_250 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_166))) :args ((or _let_158 _let_165 (not _let_166)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_171 _let_164 (not _let_172)))) _let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.coll A B C) false))))) :args _let_175)) _let_174 :args (_let_172 false _let_173)) :args (_let_164 false _let_170 false _let_172)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_168 :args (_let_166 false _let_167)) :args (_let_158 false _let_164 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cong A B A C) false))))) :args _let_163)) _let_162 :args (_let_160 false _let_161)) :args (_let_151 false _let_139 false _let_158 false _let_160)))) (let ((_let_252 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_253 (not _let_252))) (let ((_let_254 (or _let_253 _let_153))) (let ((_let_255 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_256 (not _let_255))) (let ((_let_257 (or _let_256 _let_252))) (let ((_let_258 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.perp A B C D)) (tptp.perp A B D C))))) (let ((_let_259 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_260 (_let_258))) (let ((_let_261 ((not (= (tptp.perp A B C D) false))))) (let ((_let_262 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_263 (not _let_262))) (let ((_let_264 (or _let_103 _let_263 _let_255))) (let ((_let_265 (forall ((A $$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.perp P Q U V)) (tptp.perp A B C D))))) (let ((_let_266 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_267 (_let_265))) (let ((_let_268 ((not (= (tptp.eqangle A B C D P Q U V) false))))) (let ((_let_269 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_270 (not _let_269))) (let ((_let_271 (or _let_270 _let_262))) (let ((_let_272 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_273 (not _let_272))) (let ((_let_274 (or _let_273 _let_269))) (let ((_let_275 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_276 (not _let_275))) (let ((_let_277 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 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_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_278 (not _let_277))) (let ((_let_279 (or _let_278 _let_276 _let_272))) (let ((_let_280 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_281 (not _let_280))) (let ((_let_282 (or _let_281 _let_275))) (let ((_let_283 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_284 (not _let_283))) (let ((_let_285 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_286 (not _let_285))) (let ((_let_287 (or _let_286 _let_284 _let_280))) (let ((_let_288 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_289 (not _let_288))) (let ((_let_290 (or _let_289 _let_285))) (let ((_let_291 (or _let_109 _let_288))) (let ((_let_292 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle C D A B U V P Q))))) (let ((_let_293 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_294 (_let_292))) (let ((_let_295 ((not (= (tptp.eqangle A B C D P Q U V) false))))) (let ((_let_296 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_289 _let_285 (not _let_290)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_291)) :args ((or _let_109 _let_288 (not _let_291)))) _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_295)) :args _let_294)) _let_293 :args (_let_291 false _let_292)) :args (_let_288 false _let_108 false _let_291)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_290 false _let_67)) :args (_let_285 false _let_288 false _let_290)))) (let ((_let_297 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_298 (not _let_297))) (let ((_let_299 (or _let_298 _let_283))) (let ((_let_300 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_301 (not _let_300))) (let ((_let_302 (or _let_119 _let_301 _let_297))) (let ((_let_303 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (or (not (tptp.circle O A B C)) (not (tptp.coll O A C)) (tptp.perp A B B C))))) (let ((_let_304 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_305 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_306 (not _let_305))) (let ((_let_307 (or _let_306 _let_300))) (let ((_let_308 ((not (= (tptp.coll A C B) true))))) (let ((_let_309 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_310 (not _let_309))) (let ((_let_311 (or _let_310 _let_305))) (let ((_let_312 ((not (= (tptp.coll B A C) true))))) (let ((_let_313 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_314 (not _let_313))) (let ((_let_315 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_316 (not _let_315))) (let ((_let_317 (or _let_316 _let_314 _let_309))) (let ((_let_318 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_319 (not _let_318))) (let ((_let_320 (or _let_319 _let_313))) (let ((_let_321 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_322 (not _let_321))) (let ((_let_323 (or _let_322 _let_318))) (let ((_let_324 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_325 (not _let_324))) (let ((_let_326 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_327 (not _let_326))) (let ((_let_328 (or _let_327 _let_325 _let_321))) (let ((_let_329 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_330 (not _let_329))) (let ((_let_331 (or _let_330 _let_330 _let_324))) (let ((_let_332 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_333 (not _let_332))) (let ((_let_334 (or _let_333 _let_329))) (let ((_let_335 (or _let_333 (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_336 (forall ((BOUND_VARIABLE_2492 $$unsorted)) (or (not (tptp.coll BOUND_VARIABLE_2492 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_2492 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_337 (not _let_335))) (let ((_let_338 (not _let_336))) (let ((_let_339 (and _let_338 (not (forall ((BOUND_VARIABLE_2494 $$unsorted)) (or (not (tptp.coll BOUND_VARIABLE_2494 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_2494 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (let ((_let_340 (or _let_238 _let_238 _let_339))) (let ((_let_341 (_let_338))) (let ((_let_342 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_343 (not _let_342))) (let ((_let_344 (or _let_343 _let_343 _let_326))) (let ((_let_345 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_346 (not _let_345))) (let ((_let_347 (or _let_346 _let_342))) (let ((_let_348 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.para A B A C)) (tptp.coll A B C))))) (let ((_let_349 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_350 (_let_348))) (let ((_let_351 ((not (= (tptp.para A B A C) false))))) (let ((_let_352 (or _let_103 _let_286 _let_345))) (let ((_let_353 (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_354 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_355 (_let_353))) (let ((_let_356 ((not (= (tptp.eqangle A B C D P Q U V) false))))) (let ((_let_357 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_344))) :args ((or _let_343 _let_326 (not _let_344)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_347)) :args ((or _let_346 _let_342 (not _let_347)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_352)) :args ((or _let_103 _let_286 _let_345 (not _let_352)))) _let_131 _let_296 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_354 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_356)) :args _let_355)) _let_354 :args (_let_352 false _let_353)) :args (_let_345 false _let_102 false _let_285 false _let_352)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_349 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_351)) :args _let_350)) _let_349 :args (_let_347 false _let_348)) :args (_let_342 false _let_345 false _let_347)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_168 :args (_let_344 false _let_167)) :args (_let_326 false _let_342 false _let_344)))) (let ((_let_358 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_359 (not _let_358))) (let ((_let_360 (or _let_359 _let_315))) (let ((_let_361 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_362 (not _let_361))) (let ((_let_363 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_364 (not _let_363))) (let ((_let_365 (or _let_364 _let_362 _let_358))) (let ((_let_366 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_367 (not _let_366))) (let ((_let_368 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_369 (not _let_368))) (let ((_let_370 (or _let_369 _let_367 _let_361))) (let ((_let_371 ((not (= (tptp.coll A B C) false)) (not (= (tptp.coll A B D) false))))) (let ((_let_372 (or _let_115 _let_115 _let_366))) (let ((_let_373 (or _let_121 _let_121 _let_368))) (let ((_let_374 (or _let_327 _let_171 _let_363))) (let ((_let_375 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_374)) :args ((or _let_171 _let_363 _let_327 (not _let_374)))) _let_198 _let_357 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_169)) _let_168 :args (_let_374 false _let_167)) :args (_let_363 false _let_170 false _let_326 false _let_374)))) (let ((_let_376 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_377 (not _let_376))) (let ((_let_378 (or _let_377 _let_277))) (let ((_let_379 (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted)) (or (not (tptp.cong O A O B)) (tptp.eqangle O A A B A B O B))))) (let ((_let_380 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_381 (_let_379))) (let ((_let_382 ((not (= (tptp.cong O A O B) false))))) (let ((_let_383 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_384 (not _let_383))) (let ((_let_385 (or _let_384 _let_376))) (let ((_let_386 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.midp A B C)) (tptp.cong A B A C))))) (let ((_let_387 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_388 (_let_386))) (let ((_let_389 ((not (= (tptp.cong A B A C) true))))) (let ((_let_390 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_391 (not _let_390))) (let ((_let_392 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_393 (not _let_392))) (let ((_let_394 (or _let_152 _let_393 _let_391 _let_383))) (let ((_let_395 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.midp E A B)) (not (tptp.para E F B C)) (not (tptp.coll F A C)) (tptp.midp F A C))))) (let ((_let_396 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_397 (_let_395))) (let ((_let_398 ((not (= (tptp.coll F A C) false)) (not (= (tptp.para E F B C) false))))) (let ((_let_399 (or _let_286 _let_392))) (let ((_let_400 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.para A B C D)) (tptp.para C D A B))))) (let ((_let_401 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_402 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_403 (not _let_402))) (let ((_let_404 (or _let_403 _let_390))) (let ((_let_405 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_406 (not _let_405))) (let ((_let_407 (or _let_406 _let_402))) (let ((_let_408 (or _let_286 _let_405))) (let ((_let_409 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_103 _let_263 _let_255 (not _let_264)))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_262 _let_270 (not _let_271)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_274)) :args ((or _let_269 _let_273 (not _let_274)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_278 _let_272 _let_276 (not _let_279)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_378)) :args ((or _let_377 _let_277 (not _let_378)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_385)) :args ((or _let_376 _let_384 (not _let_385)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_394)) :args ((or _let_383 _let_391 _let_393 _let_152 (not _let_394)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_404)) :args ((or _let_390 _let_403 (not _let_404)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS 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(INSTANTIATE _let_259 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260)) _let_259 :args (_let_257 false _let_258)) :args (_let_252 false _let_255 false _let_257)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_244)) _let_243 :args (_let_254 false _let_242)) :args (_let_153 false _let_252 false _let_254)))) (let ((_let_411 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_147 _let_141 (not _let_148)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_146 _let_154 _let_152 (not _let_155)))) _let_410 _let_251 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.cong A M B M) true)) (not (= (tptp.perp A B B C) false))))) :args (_let_156))) _let_157 :args (_let_155 false _let_156)) :args (_let_146 false _let_153 false _let_151 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_149))) _let_150 :args (_let_148 false _let_149)) :args (_let_141 false _let_146 false _let_148)))) (let ((_let_412 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_413 (not _let_412))) (let ((_let_414 (or _let_413 _let_286 _let_79))) (let ((_let_415 (or _let_103 _let_412))) (let ((_let_416 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle B A C D P Q U V))))) (let ((_let_417 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_418 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_419 (not _let_418))) (let ((_let_420 (or _let_419 _let_71))) (let ((_let_421 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_422 (not _let_421))) (let ((_let_423 (or _let_422 _let_418))) (let ((_let_424 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_425 (not _let_424))) (let ((_let_426 (or _let_425 _let_256 _let_421))) (let ((_let_427 (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted) (O $$unsorted)) (or (not (tptp.midp M A B)) (not (tptp.perp O M A B)) (tptp.cong O A O B))))) (let ((_let_428 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_429 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_430 (not _let_429))) (let ((_let_431 (or _let_430 _let_424))) (let ((_let_432 (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted)) (or (not (tptp.midp M B A)) (tptp.midp M A B))))) (let ((_let_433 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_434 (or _let_142 _let_327 _let_429))) (let ((_let_435 (or _let_154 _let_51))) (let ((_let_436 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_437 (not _let_436))) (let ((_let_438 (or _let_437 _let_46))) (let ((_let_439 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_440 (not _let_439))) (let ((_let_441 (or _let_140 _let_440 _let_436))) (let ((_let_442 (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_443 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_444 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_445 (not _let_444))) (let ((_let_446 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_447 (not _let_446))) (let ((_let_448 (or _let_216 _let_447 _let_216 _let_445 _let_439))) (let ((_let_449 (or _let_216 _let_444))) (let ((_let_450 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_451 (not _let_450))) (let ((_let_452 (or _let_451 _let_446))) (let ((_let_453 (or _let_222 _let_450))) (let ((_let_454 (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_455 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_456 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_457 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_458 (not _let_457))) (let ((_let_459 (not _let_43))) (let ((_let_460 (or _let_152 _let_459 _let_458 _let_456))) (let ((_let_461 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_462 (not _let_461))) (let ((_let_463 (or _let_462 _let_457))) (let ((_let_464 (or _let_364 _let_461))) (let ((_let_465 (not _let_456))) (let ((_let_466 (or _let_465 _let_113))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_240)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_43 _let_47 _let_45 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_460)) :args ((or _let_456 _let_458 _let_459 _let_152 (not _let_460)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_466)) :args ((or _let_113 _let_465 (not _let_466)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_122 5)) _let_128 :args ((not _let_113) true _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_389)) :args _let_388)) _let_387 :args (_let_466 false _let_386)) :args (_let_465 true _let_113 false _let_466)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_463)) :args ((or _let_457 _let_462 (not _let_463)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_464)) :args ((or _let_461 _let_364 (not _let_464)))) _let_375 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_312)) :args _let_184)) _let_183 :args (_let_464 false _let_182)) :args (_let_461 false _let_363 false _let_464)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_308)) :args _let_175)) _let_174 :args (_let_463 false _let_173)) :args (_let_457 false _let_461 false _let_463)) _let_251 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_398)) :args _let_397)) _let_396 :args (_let_460 false _let_395)) :args (_let_459 true _let_456 false _let_457 false _let_151 false _let_460)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_438)) :args ((or _let_437 _let_46 (not _let_438)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_441)) :args ((or _let_140 _let_436 _let_440 (not _let_441)))) _let_250 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_448))) :args ((or _let_447 _let_216 _let_445 _let_439 (not _let_448)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_452)) :args ((or _let_446 _let_451 (not _let_452)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_453)) :args ((or _let_450 _let_222 (not _let_453)))) _let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_455 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_454))) _let_455 :args (_let_453 false _let_454)) :args (_let_450 false _let_221 false _let_453)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cyclic B A C D) true))))) :args _let_220)) _let_219 :args (_let_452 false _let_218)) :args (_let_446 false _let_450 false _let_452)) _let_248 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_449)) :args ((or _let_216 _let_444 (not _let_449)))) _let_248 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)) _let_209 :args (_let_449 false _let_208)) :args (_let_444 false _let_215 false _let_449)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_206)) _let_205 :args (_let_448 false _let_204)) :args (_let_439 false _let_446 false _let_215 false _let_444 false _let_448)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perp A B P Q) true))))) :args (_let_442))) _let_443 :args (_let_441 false _let_442)) :args (_let_436 false _let_139 false _let_439 false _let_441)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_245)) :args _let_244)) _let_243 :args (_let_438 false _let_242)) :args (_let_46 false _let_436 false _let_438)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_52 _let_54 _let_44 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_435)) :args ((or _let_154 _let_51 (not _let_435)))) _let_410 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260)) _let_259 :args (_let_435 false _let_258)) :args (_let_51 false _let_153 false _let_435)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_53 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_59 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_64 _let_72 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_420)) :args ((or _let_419 _let_71 (not _let_420)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_423)) :args ((or _let_418 _let_422 (not _let_423)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_426)) :args ((or _let_256 _let_425 _let_421 (not _let_426)))) _let_409 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_431)) :args ((or _let_424 _let_430 (not _let_431)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_434)) :args ((or _let_327 _let_429 _let_142 (not _let_434)))) _let_357 _let_411 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.coll A B C) false))))) :args _let_163)) _let_162 :args (_let_434 false _let_161)) :args (_let_429 false _let_326 false _let_141 false _let_434)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.midp M A B) true))))) :args (_let_432))) _let_433 :args (_let_431 false _let_432)) :args (_let_424 false _let_429 false _let_431)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perp O M A B) false))))) :args (_let_427))) _let_428 :args (_let_426 false _let_427)) :args (_let_421 false _let_255 false _let_424 false _let_426)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_380 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_382)) :args _let_381)) _let_380 :args (_let_423 false _let_379)) :args (_let_418 false _let_421 false _let_423)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_295)) :args _let_294)) _let_293 :args (_let_420 false _let_292)) :args (_let_71 false _let_418 false _let_420)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_80 _let_82 _let_73 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_414)) :args ((or _let_286 _let_413 _let_79 (not _let_414)))) _let_296 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_415)) :args ((or _let_103 _let_412 (not _let_415)))) _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.eqangle A B C D P Q U V) false))))) :args (_let_416))) _let_417 :args (_let_415 false _let_416)) :args (_let_412 false _let_102 false _let_415)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_354 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_356)) :args _let_355)) _let_354 :args (_let_414 false _let_353)) :args (_let_79 false _let_285 false _let_412 false _let_414)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_87 _let_81 _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_143))) :args ((or _let_86 _let_140 _let_142 (not _let_143)))) _let_250 _let_411 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.cong O A O B) false)) (not (= (tptp.cyclic A B C D) true))))) :args (_let_144))) _let_145 :args (_let_143 false _let_144)) :args (_let_86 false _let_139 false _let_141 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_96 _let_88 _let_98 (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_138)) :args _let_137)) _let_136 :args (_let_99 false _let_135)) _let_132 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_95 _let_88 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.eqangle P A P B Q A Q B) false))))) :args (_let_133))) _let_134 :args (_let_97 false _let_133)) _let_132 :args (_let_88 false _let_99 false _let_94 false _let_95 false _let_97 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_92 :args (_let_90 false _let_91)) :args (_let_81 false _let_86 false _let_88 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.para A B C D) false))))) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_73 false _let_79 false _let_81 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) _let_77 :args (_let_75 false _let_76)) :args (_let_64 false _let_71 false _let_73 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_66 false _let_67)) :args (_let_59 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.para A B C D) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_53 false _let_59 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_44 false _let_51 false _let_53 false _let_55)) :args (_let_50 true _let_43 false _let_46 false _let_44)) _let_49 :args (false true _let_48 false _let_42)) :args (_let_41 _let_40 _let_39 _let_38 _let_37 (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_36 _let_35 _let_34 _let_33 _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_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cong A B C D) (tptp.cong C D A B))) (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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqratio A B C D P Q U V) (tptp.eqratio B A C D P Q U V))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqratio A B C D P Q U V) (tptp.eqratio C D A B U V P Q))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqratio A B C D P Q U V) (tptp.eqratio P Q U V A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqratio A B C D P Q U V) (tptp.eqratio A B P Q C D U V))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqratio A B C D P Q U V) (tptp.eqratio P Q U V E F G H)) (tptp.eqratio A B C D E F G H))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.simtri A C B P R Q) (tptp.simtri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.simtri B A C Q P R) (tptp.simtri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.simtri P Q R A B C) (tptp.simtri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.simtri A B C E F G) (tptp.simtri E F G P Q R)) (tptp.simtri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.contri A C B P R Q) (tptp.contri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.contri B A C Q P R) (tptp.contri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (tptp.contri P Q R A B C) (tptp.contri A B C P Q R))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.contri A B C E F G) (tptp.contri E F G P Q R)) (tptp.contri A B C P Q R))) _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.midp E A B) (tptp.midp F A C)) (tptp.para E F B C))) _let_14 _let_13 (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted)) (=> (and (tptp.eqangle O A A B A B O B) (not (tptp.coll O A B))) (tptp.cong O A O B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (X $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.perp O A A X)) (tptp.eqangle A X A B C A C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (X $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.eqangle A X A B C A C B)) (tptp.perp O A A X))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (M $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.midp M B C)) (tptp.eqangle A B A C O B O M))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (M $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.coll M B C) (tptp.eqangle A B A C O B O M)) (tptp.midp M B C))) _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.cong A P B P) (tptp.cong A Q B Q) (tptp.cyclic A B P Q)) (tptp.perp P A A Q))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.eqangle A B B C P Q Q R) (tptp.eqangle A C B C P R Q R) (not (tptp.coll A B C))) (tptp.simtri A B 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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp M C D)) (tptp.para A C B D))) (forall ((A $$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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (=> (and (tptp.para A B C D) (tptp.coll O A C) (tptp.coll O B D)) (tptp.eqratio O A A C O B B D))) _let_7 _let_6 _let_5 (forall ((A $$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 (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))) (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 $$unsorted)) (=> (and (tptp.cong O C O D) (tptp.perp A B B O)) (and (tptp.cong O C O P) (tptp.para P C A B) (tptp.cong B C B P))))) _let_2 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.38/30.71  )
% 30.38/30.71  % SZS output end Proof for GEO618+1
% 30.38/30.71  % cvc5---1.0.5 exiting
% 30.38/30.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------