TSTP Solution File: GEO568+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 22:51:46 EDT 2023
% Result : Theorem 19.31s 19.56s
% Output : Proof 19.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 22:29:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 19.31/19.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jKlUa3D8U5/cvc5---1.0.5_26612.p...
% 19.31/19.56 ------- get file name : TPTP file name is GEO568+1
% 19.31/19.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26612.smt2...
% 19.31/19.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 19.31/19.56 --- Run --no-e-matching --full-saturate-quant at 5...
% 19.31/19.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 19.31/19.56 % SZS status Theorem for GEO568+1
% 19.31/19.56 % SZS output start Proof for GEO568+1
% 19.31/19.56 (
% 19.31/19.56 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (D $$unsorted) (E $$unsorted) (MIDPNT1 $$unsorted) (MIDPNT2 $$unsorted) (MIDPNT3 $$unsorted)) (=> (and (tptp.midp MIDPNT1 A B) (tptp.perp A B MIDPNT1 O) (tptp.midp MIDPNT2 A C) (tptp.perp A C MIDPNT2 O) (tptp.midp MIDPNT3 B C) (tptp.perp B C MIDPNT3 O) (tptp.perp D C A B) (tptp.coll D A B) (tptp.perp E B A C) (tptp.coll E A C)) (tptp.perp A O D E)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.perp P Q U V)) (tptp.perp A B C D))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.para P Q U V)) (tptp.para A B C D))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.midp A B C) (tptp.cong A B A C))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.cong A B A C) (tptp.coll A B C)) (tptp.midp A B C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.para A B A C) (tptp.coll A B C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (=> (and (tptp.midp M A B) (tptp.para A C B D) (tptp.para A D B C)) (tptp.midp M C D))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp M C D)) (tptp.para A C B D))))) (let ((_let_9 (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_10 (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_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.para A B C D)) (tptp.eqangle A D C D C D C B))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (M $$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) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.midp E A B) (tptp.para E F B C) (tptp.coll F A C)) (tptp.midp F A C))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.cyclic A B C P) (tptp.cyclic A B C Q) (tptp.cyclic A B C R) (tptp.eqangle C A C B R P R Q)) (tptp.cong A B P Q))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (tptp.coll P Q B)) (tptp.cyclic A B P Q))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.cyclic A B P Q) (tptp.eqangle P A P B Q A Q B))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.para A B C D) (tptp.eqangle A B P Q C D P Q))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.eqangle A B P Q C D P Q) (tptp.para A B C D))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle A B P Q C D U V))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle P Q U V A B C D))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle C D A B U V P Q))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle B A C D P Q U V))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic B A C D))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic A C B D))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.para A B C D) (tptp.perp C D E F)) (tptp.perp A B E F))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.perp A B C D) (tptp.perp C D E F)) (tptp.para A B E F))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.perp A B C D) (tptp.perp C D A B))))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.perp A B C D) (tptp.perp A B D C))))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.para A B C D) (tptp.para C D E F)) (tptp.para A B E F))))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para C D A B))))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para A B D C))))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.coll A B C) (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll A C B))))) (let ((_let_34 (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_35 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_35))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (not _let_35))) (let ((_let_45 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_43))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.cong A B A C)) (not (tptp.coll A B C)) (tptp.midp A B C))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_52 (not _let_43))) (let ((_let_53 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_51))) (let ((_let_56 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (M $$unsorted)) (or (not (tptp.perp A B B C)) (not (tptp.midp M A C)) (tptp.cong A M B M))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_60 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_51))) (let ((_let_63 (or _let_62 _let_61 _let_59))) (let ((_let_64 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.cong A P B P)) (not (tptp.cong A Q B Q)) (tptp.perp A B P Q))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_68 (not _let_59))) (let ((_let_69 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68 _let_67))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.para A B C D)) (not (tptp.perp C D E F)) (tptp.perp A B E F))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_54 _let_69))) (let ((_let_78 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.perp A B C D)) (not (tptp.perp C D E F)) (tptp.para A B E F))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_82 _let_75))) (let ((_let_84 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_85 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86 _let_81))) (let ((_let_90 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_54 _let_87))) (let ((_let_93 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (not (tptp.perp P Q U V)) (tptp.perp A B C D))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_90))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle B A C D P Q U V))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_96))) (let ((_let_105 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.cyclic A B P Q)) (tptp.eqangle P A P B Q A Q B))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_102))) (let ((_let_111 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic A C B D))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_108))) (let ((_let_117 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic B A C D))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_37 _let_114))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.eqangle P A P B Q A Q B)) (not (tptp.coll P Q B)) (tptp.cyclic A B P Q))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_120))) (let ((_let_129 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle C D A B U V P Q))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (_let_129))) (let ((_let_132 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_126))) (let ((_let_135 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.para A B C D)) (tptp.eqangle A B P Q C D P Q))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_139 (not _let_138))) (let ((_let_140 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_139 _let_132))) (let ((_let_143 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.para A B C D)) (not (tptp.para C D E F)) (tptp.para A B E F))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_146 _let_140))) (let ((_let_148 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (or (not (tptp.midp M A B)) (not (tptp.midp M C D)) (tptp.para A C B D))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_151 (not _let_150))) (let ((_let_152 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_146 (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_153 _let_151 (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_67))) (let ((_let_155 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (D $$unsorted) (E $$unsorted) (MIDPNT1 $$unsorted) (MIDPNT2 $$unsorted) (MIDPNT3 $$unsorted)) (or (not (tptp.midp MIDPNT1 A B)) (not (tptp.perp A B MIDPNT1 O)) (not (tptp.midp MIDPNT2 A C)) (not (tptp.perp A C MIDPNT2 O)) (not (tptp.midp MIDPNT3 B C)) (not (tptp.perp B C MIDPNT3 O)) (not (tptp.perp D C A B)) (not (tptp.coll D A B)) (not (tptp.perp E B A C)) (not (tptp.coll E A C)) (tptp.perp A O D E))))) (let ((_let_156 (not _let_154))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (or))) (let ((_let_159 (not _let_155))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_157) :args (_let_159))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_159) _let_155))) (REFL :args (_let_156)) :args _let_158)) _let_157 :args (_let_156 true _let_155)))) (let ((_let_161 (REFL :args (_let_154)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_147))) :args ((or _let_146 _let_140 (not _let_147)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_154 0)) (CONG _let_161 (MACRO_SR_PRED_INTRO :args ((= (not _let_146) _let_145))) :args _let_158)) :args ((or _let_145 _let_154))) _let_160 :args (_let_145 true _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_148))) _let_149 :args (_let_147 false _let_148)) :args (_let_140 false _let_145 false _let_147)))) (let ((_let_163 (or _let_141 _let_138))) (let ((_let_164 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.para A B C D)) (tptp.para C D A B))))) (let ((_let_165 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_166 (_let_164))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_132 _let_139 _let_141 (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_138 _let_141 (not _let_163)))) _let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_166)) _let_165 :args (_let_163 false _let_164)) :args (_let_138 false _let_140 false _let_163)) _let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_143))) _let_144 :args (_let_142 false _let_143)) :args (_let_132 false _let_138 false _let_140 false _let_142)))) (let ((_let_168 (or _let_133 _let_36))) (let ((_let_169 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.para A B A C)) (tptp.coll A B C))))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (_let_169))) (let ((_let_172 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_36 _let_133 (not _let_168)))) _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args _let_172) :args _let_171)) _let_170 :args (_let_168 false _let_169)) :args (_let_36 false _let_132 false _let_168)))) (let ((_let_174 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_175 _let_175 _let_53))) (let ((_let_177 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_178 (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_179 (not _let_178))) (let ((_let_180 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_181 (not _let_180))) (let ((_let_182 (or _let_181 _let_181 _let_181 _let_179 _let_174))) (let ((_let_183 (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_184 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_185 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_186 (or _let_133 _let_178))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_133 _let_178 (not _let_186)))) _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args _let_185) :args _let_137)) _let_136 :args (_let_186 false _let_135)) :args (_let_178 false _let_132 false _let_186)))) (let ((_let_188 (or _let_179 _let_37 _let_180))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_182))) :args ((or _let_174 _let_181 _let_179 (not _let_182)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_188)) :args ((or _let_37 _let_180 _let_179 (not _let_188)))) _let_173 _let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_177) :args _let_125)) _let_124 :args (_let_188 false _let_123)) :args (_let_180 false _let_36 false _let_178 false _let_188)) _let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args _let_185) :args (_let_183))) _let_184 :args (_let_182 false _let_183)) :args (_let_174 false _let_180 false _let_178 false _let_182)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_176))) :args ((or _let_53 _let_175 (not _let_176)))) _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_177) :args _let_66)) _let_65 :args (_let_176 false _let_64)) :args (_let_53 false _let_174 false _let_176)))) (let ((_let_191 (or _let_175 _let_37 _let_85))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_37 _let_85 _let_175 (not _let_191)))) _let_173 _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_172) :args _let_50)) _let_49 :args (_let_191 false _let_48)) :args (_let_85 false _let_36 false _let_174 false _let_191)))) (let ((_let_193 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_194 (not _let_193))) (let ((_let_195 (or _let_54 _let_194 _let_60))) (let ((_let_196 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM))) (let ((_let_197 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_198 (not _let_197))) (let ((_let_199 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_200 (not _let_199))) (let ((_let_201 (or _let_200 _let_198 _let_193))) (let ((_let_202 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_203 (not _let_202))) (let ((_let_204 (or _let_86 _let_203 _let_199))) (let ((_let_205 (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_206 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_207 (_let_205))) (let ((_let_208 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_209 (not _let_208))) (let ((_let_210 (or _let_209 _let_202))) (let ((_let_211 (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_212 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_213 (_let_211))) (let ((_let_214 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_215 (tptp.eqangle 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_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_216 (not _let_215))) (let ((_let_217 (or _let_216 _let_54 _let_208))) (let ((_let_218 (tptp.eqangle 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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_219 (not _let_218))) (let ((_let_220 (or _let_219 _let_215))) (let ((_let_221 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_222 (not _let_221))) (let ((_let_223 (or _let_222 _let_218))) (let ((_let_224 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_225 (not _let_224))) (let ((_let_226 (or _let_225 _let_221))) (let ((_let_227 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_228 (not _let_227))) (let ((_let_229 (or _let_228 _let_224))) (let ((_let_230 (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_231 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_232 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_233 (not _let_232))) (let ((_let_234 (or _let_54 _let_233 _let_227))) (let ((_let_235 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_236 (not _let_235))) (let ((_let_237 (or _let_236 _let_232))) (let ((_let_238 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_239 (not _let_238))) (let ((_let_240 (or _let_239 _let_239 _let_235))) (let ((_let_241 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_242 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_243 (not _let_242))) (let ((_let_244 (or _let_243 _let_86 _let_238))) (let ((_let_245 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_246 (not _let_245))) (let ((_let_247 (or _let_246 _let_54 _let_242))) (let ((_let_248 (tptp.eqangle 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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_249 (not _let_248))) (let ((_let_250 (or _let_249 _let_245))) (let ((_let_251 (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_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_252 (not _let_251))) (let ((_let_253 (or _let_252 _let_248))) (let ((_let_254 (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_255 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_256 (tptp.eqangle 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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_257 (not _let_256))) (let ((_let_258 (or _let_257 _let_251))) (let ((_let_259 (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_260 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_261 (_let_259))) (let ((_let_262 (or _let_133 _let_256))) (let ((_let_263 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_252 _let_248 (not _let_253)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_258)) :args ((or _let_251 _let_257 (not _let_258)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_133 _let_256 (not _let_262)))) _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :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_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_137)) _let_136 :args (_let_262 false _let_135)) :args (_let_256 false _let_132 false _let_262)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args (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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_261)) _let_260 :args (_let_258 false _let_259)) :args (_let_251 false _let_256 false _let_258)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_255 :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_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_254))) _let_255 :args (_let_253 false _let_254)) :args (_let_248 false _let_251 false _let_253)))) (let ((_let_264 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_265 (not _let_264))) (let ((_let_266 (or _let_265 _let_197))) (let ((_let_267 (or _let_249 _let_133 _let_264))) (let ((_let_268 (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_269 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_270 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_271 (not _let_270))) (let ((_let_272 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_273 (not _let_272))) (let ((_let_274 (or _let_273 _let_271 _let_45))) (let ((_let_275 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_276 (not _let_275))) (let ((_let_277 (or _let_276 _let_270))) (let ((_let_278 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_279 (not _let_278))) (let ((_let_280 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_281 (not _let_280))) (let ((_let_282 (or _let_281 _let_279 _let_275))) (let ((_let_283 (or _let_153 _let_278))) (let ((_let_284 (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_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_285 (not _let_284))) (let ((_let_286 (or _let_285 _let_280))) (let ((_let_287 (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_288 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_289 (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_3))) (let ((_let_290 (not _let_289))) (let ((_let_291 (or _let_290 _let_284))) (let ((_let_292 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_293 (not _let_292))) (let ((_let_294 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_295 (not _let_294))) (let ((_let_296 (or _let_295 _let_293 _let_289))) (let ((_let_297 (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_298 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_299 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_300 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_301 (not _let_300))) (let ((_let_302 (or _let_301 _let_294))) (let ((_let_303 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_304 (not _let_303))) (let ((_let_305 (or _let_304 _let_37 _let_300))) (let ((_let_306 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_307 (not _let_306))) (let ((_let_308 (or _let_307 _let_303))) (let ((_let_309 (or _let_133 _let_306))) (let ((_let_310 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_308)) :args ((or _let_307 _let_303 (not _let_308)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_309)) :args ((or _let_133 _let_306 (not _let_309)))) _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :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_3 QUANTIFIERS_INST_ENUM)) :args _let_137)) _let_136 :args (_let_309 false _let_135)) :args (_let_306 false _let_132 false _let_309)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131)) _let_130 :args (_let_308 false _let_129)) :args (_let_303 false _let_306 false _let_308)))) (let ((_let_311 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_312 (not _let_311))) (let ((_let_313 (or _let_312 _let_54 _let_292))) (let ((_let_314 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_315 (not _let_314))) (let ((_let_316 (or _let_315 _let_315 _let_311))) (let ((_let_317 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_318 (not _let_317))) (let ((_let_319 (or _let_318 _let_86 _let_314))) (let ((_let_320 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_321 (not _let_320))) (let ((_let_322 (or _let_321 _let_317))) (let ((_let_323 (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_324 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_325 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_326 (not _let_325))) (let ((_let_327 (or _let_326 _let_54 _let_320))) (let ((_let_328 (or _let_304 _let_325))) (let ((_let_329 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_330 (not _let_329))) (let ((_let_331 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_332 (not _let_331))) (let ((_let_333 (or _let_86 _let_332 _let_330 _let_272))) (let ((_let_334 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.midp E A B)) (not (tptp.para E F B C)) (not (tptp.coll F A C)) (tptp.midp F A C))))) (let ((_let_335 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_336 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_337 (not _let_336))) (let ((_let_338 (or _let_337 _let_54 _let_331))) (let ((_let_339 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_340 (not _let_339))) (let ((_let_341 (or _let_340 _let_336))) (let ((_let_342 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_343 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_344 (not _let_343))) (let ((_let_345 (or _let_175 _let_344 _let_339))) (let ((_let_346 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_347 (not _let_346))) (let ((_let_348 (or _let_347 _let_343))) (let ((_let_349 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.midp A B C)) (tptp.cong A B A C))))) (let ((_let_350 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_351 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_352 (not _let_351))) (let ((_let_353 (or _let_86 _let_352 _let_352 _let_346))) (let ((_let_354 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (or (not (tptp.midp M A B)) (not (tptp.para A C B D)) (not (tptp.para A D B C)) (tptp.midp M C D))))) (let ((_let_355 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_356 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_357 (not _let_356))) (let ((_let_358 (or _let_357 _let_357 _let_351))) (let ((_let_359 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_360 (not _let_359))) (let ((_let_361 (or _let_360 _let_54 _let_356))) (let ((_let_362 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_363 (not _let_362))) (let ((_let_364 (or _let_363 _let_359))) (let ((_let_365 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_366 (not _let_365))) (let ((_let_367 (or _let_366 _let_362))) (let ((_let_368 (or _let_133 _let_365))) (let ((_let_369 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_366 _let_362 (not _let_367)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_133 _let_365 (not _let_368)))) _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :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_4 QUANTIFIERS_INST_ENUM)) :args _let_137)) _let_136 :args (_let_368 false _let_135)) :args (_let_365 false _let_132 false _let_368)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131)) _let_130 :args (_let_367 false _let_129)) :args (_let_362 false _let_365 false _let_367)))) (let ((_let_370 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_371 (not _let_370))) (let ((_let_372 (or _let_371 _let_329))) (let ((_let_373 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_374 (not _let_373))) (let ((_let_375 (or _let_374 _let_374 _let_370))) (let ((_let_376 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_377 (not _let_376))) (let ((_let_378 (or _let_377 _let_54 _let_373))) (let ((_let_379 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_380 (not _let_379))) (let ((_let_381 (or _let_380 _let_376))) (let ((_let_382 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_383 (not _let_382))) (let ((_let_384 (or _let_383 _let_379))) (let ((_let_385 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_386 (not _let_385))) (let ((_let_387 (or _let_386 _let_382))) (let ((_let_388 (or _let_363 _let_37 _let_385))) (let ((_let_389 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_390 (not _let_389))) (let ((_let_391 (or _let_390 _let_390 _let_38))) (let ((_let_392 (_let_34))) (let ((_let_393 (or _let_151 _let_389))) (let ((_let_394 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.coll A B C)) (tptp.coll A C B))))) (let ((_let_395 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_392)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_37 _let_39 _let_35 _let_42))) _let_173 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_391))) :args ((or _let_38 _let_390 (not _let_391)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_393)) :args ((or _let_151 _let_389 (not _let_393)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_154 7)) (CONG _let_161 (MACRO_SR_PRED_INTRO :args ((= (not _let_151) _let_150))) :args _let_158)) :args ((or _let_150 _let_154))) _let_160 :args (_let_150 true _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_394))) _let_395 :args (_let_393 false _let_394)) :args (_let_389 false _let_150 false _let_393)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_392)) _let_41 :args (_let_391 false _let_34)) :args (_let_38 false _let_389 false _let_391)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_44 _let_46 _let_43 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_274)) :args ((or _let_273 _let_45 _let_271 (not _let_274)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_333)) :args ((or _let_86 _let_272 _let_330 _let_332 (not _let_333)))) _let_192 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_372)) :args ((or _let_329 _let_371 (not _let_372)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_375))) :args ((or _let_374 _let_370 (not _let_375)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_378)) :args ((or _let_54 _let_373 _let_377 (not _let_378)))) _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_381)) :args ((or _let_380 _let_376 (not _let_381)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_384)) :args ((or _let_383 _let_379 (not _let_384)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_387)) :args ((or _let_382 _let_386 (not _let_387)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_388)) :args ((or _let_37 _let_385 _let_363 (not _let_388)))) _let_173 _let_369 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_125)) _let_124 :args (_let_388 false _let_123)) :args (_let_385 false _let_36 false _let_362 false _let_388)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_118 :args (_let_387 false _let_117)) :args (_let_382 false _let_385 false _let_387)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)) _let_112 :args (_let_384 false _let_111)) :args (_let_379 false _let_382 false _let_384)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_107)) _let_106 :args (_let_381 false _let_105)) :args (_let_376 false _let_379 false _let_381)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_94 :args (_let_378 false _let_93)) :args (_let_373 false _let_53 false _let_376 false _let_378)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_80)) _let_79 :args (_let_375 false _let_78)) :args (_let_370 false _let_373 false _let_375)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_171)) _let_170 :args (_let_372 false _let_169)) :args (_let_329 false _let_370 false _let_372)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_338)) :args ((or _let_54 _let_337 _let_331 (not _let_338)))) _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_341)) :args ((or _let_340 _let_336 (not _let_341)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_345)) :args ((or _let_175 _let_339 _let_344 (not _let_345)))) _let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_348)) :args ((or _let_343 _let_347 (not _let_348)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_353))) :args ((or _let_86 _let_346 _let_352 (not _let_353)))) _let_192 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_358))) :args ((or _let_351 _let_357 (not _let_358)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_361)) :args ((or _let_54 _let_360 _let_356 (not _let_361)))) _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_364)) :args ((or _let_363 _let_359 (not _let_364)))) _let_369 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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(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 $$unsorted)) (=> (and (tptp.contri A B C E F G) (tptp.contri E F G P Q R)) (tptp.contri A B C P Q R))) _let_18 _let_17 _let_16 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (not (tptp.coll P Q A))) (tptp.cyclic A B P Q))) _let_15 _let_14 (forall ((A $$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_13 (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted)) (=> (tptp.cong O A O B) (tptp.eqangle O A A B A B O B))) (forall ((A $$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 (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_11 _let_10 _let_9 (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))) _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (=> (and (tptp.para A B C D) (tptp.coll O A C) (tptp.coll O B D)) (tptp.eqratio O A A C O B B D))) _let_6 _let_5 _let_4 (forall ((A $$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_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqratio A B C D P Q U V) (tptp.cong P Q U V)) (tptp.cong A B C D))) (forall ((A $$unsorted) (M $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((B $$unsorted)) (=> (and (tptp.perp O M M A) (tptp.eqangle X O M O M O A O)) (and (tptp.coll B A M) (tptp.coll B O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.eqangle A O O X O X O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.perp O X A B) (tptp.eqangle A O O X O X O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.perp O X A B) (tptp.cong O A O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (X $$unsorted) (Y $$unsorted)) (exists ((Q $$unsorted)) (=> (and (tptp.eqangle A P B P A X B Y) (not (tptp.coll A B P))) (and (tptp.eqangle A P B P A Q B Q) (tptp.cyclic X B P Q))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D)) (and (tptp.midp P A D) (tptp.para P M B D) (tptp.para P N A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted) (Q $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D) (tptp.coll C A B) (tptp.coll D A B)) (tptp.midp P A Q)))) (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted) (M $$unsorted)) (exists ((X $$unsorted)) (=> (and (tptp.midp M A B) (tptp.para A P R M) (tptp.para A P B Q) (tptp.coll P Q R)) (and (tptp.coll X A Q) (tptp.coll X M R))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.cong O C O D) (tptp.perp A B B O)) (and (tptp.cong O C O P) (tptp.para P C A B) (tptp.cong B C B P))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (H $$unsorted)) (exists ((P $$unsorted) (Q $$unsorted)) (=> (and (tptp.perp A H B C) (tptp.perp B H A C)) (and (tptp.coll P C B) (tptp.perp A P C B) (tptp.coll Q C A) (tptp.perp B Q C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (exists ((P $$unsorted)) (=> (tptp.circle O A B C) (tptp.perp P A A O)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (exists ((P $$unsorted) (Q $$unsorted)) (=> (and (tptp.circle M A B C) (tptp.cong M A M D) (tptp.cong N A N B) (not (= M N))) (and (tptp.coll P A C) (tptp.cong P N N A) (tptp.coll Q B D) (tptp.cong Q N N A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (exists ((O $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.para A B C D) (tptp.midp M A B)) (tptp.circle O A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (exists ((O $$unsorted)) (=> (and (tptp.perp A C C B) (tptp.cyclic A B C D)) (tptp.circle O A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.perp A C C B) (tptp.coll B E F)) (and (tptp.coll P E F) (tptp.perp P A E F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.perp A B A C) (tptp.perp C A C D) (tptp.midp M B D)) (tptp.midp P A C)))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted)) (exists ((C $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.perp A O O B)) (and (tptp.coll A O C) (tptp.cong O A O C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (=> (and (tptp.para A B C D) (tptp.coll P A C) (tptp.coll P B D) (tptp.coll Q A B)) (and (tptp.coll P Q R) (tptp.coll R C D))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 19.31/19.56 )
% 19.31/19.56 % SZS output end Proof for GEO568+1
% 19.31/19.56 % cvc5---1.0.5 exiting
% 19.31/19.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------