TSTP Solution File: GEO590+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 22:51:50 EDT 2023
% Result : Theorem 15.29s 15.48s
% Output : Proof 15.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.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 19:02:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 15.29/15.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.aK9lF8uhgm/cvc5---1.0.5_3471.p...
% 15.29/15.48 ------- get file name : TPTP file name is GEO590+1
% 15.29/15.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3471.smt2...
% 15.29/15.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 15.29/15.48 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.29/15.48 % SZS status Theorem for GEO590+1
% 15.29/15.48 % SZS output start Proof for GEO590+1
% 15.29/15.48 (
% 15.29/15.48 (let ((_let_1 (not (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (O $$unsorted) (A $$unsorted) (F $$unsorted)) (=> (and (tptp.perp E C E D) (tptp.midp O D C) (tptp.perp C D C A) (tptp.perp E O E A) (tptp.coll F C A) (tptp.coll F D E)) (tptp.cong A E A F)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqratio A B C D P Q U V) (tptp.cong P Q U V)) (tptp.cong A B C D))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.perp P Q U V)) (tptp.perp A B C D))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.para P Q U V)) (tptp.para A B C D))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.cong A B A C) (tptp.coll A B C)) (tptp.midp A B C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.para A B A C) (tptp.coll A B C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (=> (and (tptp.para A B C D) (tptp.coll O A C) (tptp.coll O B D)) (tptp.eqratio O A A C O B B D))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (=> (and (tptp.midp M A B) (tptp.para A C B D) (tptp.para A D B C)) (tptp.midp M C D))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp M C D)) (tptp.para A C B D))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.cong A P B P) (tptp.cong A Q B Q)) (tptp.perp A B P Q))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.para A B C D)) (tptp.eqangle A D C D C D C B))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (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) (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 ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (M $$unsorted)) (=> (and (tptp.circle O A B C) (tptp.midp M B C)) (tptp.eqangle A B A C O B O M))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.midp E A B) (tptp.para E F B C) (tptp.coll F A C)) (tptp.midp F A C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.midp E A B) (tptp.midp F A C)) (tptp.para E F B C))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.cyclic A B C P) (tptp.cyclic A B C Q) (tptp.cyclic A B C R) (tptp.eqangle C A C B R P R Q)) (tptp.cong A B P Q))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (tptp.coll P Q B)) (tptp.cyclic A B P Q))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.eqangle P A P B Q A Q B) (not (tptp.coll P Q A))) (tptp.cyclic A B P Q))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.cyclic A B P Q) (tptp.eqangle P A P B Q A Q B))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.para A B C D) (tptp.eqangle A B P Q C D P Q))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.cong A B C D) (tptp.cong C D E F)) (tptp.cong A B E F))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cong A B C D) (tptp.cong C D A B))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cong A B C D) (tptp.cong A B D C))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.eqangle A B C D P Q U V) (tptp.eqangle P Q U V E F G H)) (tptp.eqangle A B C D E F G H))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle A B P Q C D U V))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle P Q U V A B C D))))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle C D A B U V P Q))))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.eqangle A B C D P Q U V) (tptp.eqangle B A C D P Q U V))))) (let ((_let_30 (forall ((A $$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_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic A C B D))))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic A B D C))))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.cong O A O C) (tptp.cong O A O D)) (tptp.cyclic A B C D))))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.cong O A O C)) (tptp.circle O A B C))))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.para A B C D) (tptp.perp C D E F)) (tptp.perp A B E F))))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.perp A B C D) (tptp.perp C D E F)) (tptp.para A B E F))))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.perp A B C D) (tptp.perp C D A B))))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.perp A B C D) (tptp.perp A B D C))))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.para A B C D) (tptp.para C D E F)) (tptp.para A B E F))))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para C D A B))))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.coll A B C) (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll B A C))))) (let ((_let_43 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.coll A B C)) (tptp.coll B A C))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_44))) (let ((_let_55 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.coll A B C)) (not (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_59 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_50))) (let ((_let_62 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.para A B A C)) (tptp.coll A B C))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66 _let_59))) (let ((_let_70 (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_71 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args _let_73) :args _let_72)) _let_71 :args (_let_69 false _let_70)))) (let ((_let_75 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_65))) (let ((_let_80 (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_81 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_84 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_44 _let_83))) (let ((_let_87 (or _let_85 _let_45 _let_83))) (let ((_let_88 (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_89 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_84))) (let ((_let_94 (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_95 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (_let_94))) (let ((_let_97 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_91))) (let ((_let_100 (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_101 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_104 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105 _let_97))) (let ((_let_109 (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_110 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (or _let_105 _let_106))) (let ((_let_112 (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_113 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_116 _let_104))) (let ((_let_118 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (or (not (tptp.midp M A B)) (not (tptp.midp M C D)) (tptp.para A C B D))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_121 (or (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_116 (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_120))) (let ((_let_122 (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (O $$unsorted) (A $$unsorted) (F $$unsorted)) (or (not (tptp.perp E C E D)) (not (tptp.midp O D C)) (not (tptp.perp C D C A)) (not (tptp.perp E O E A)) (not (tptp.coll F C A)) (not (tptp.coll F D E)) (tptp.cong A E A F))))) (let ((_let_123 (not _let_121))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (or))) (let ((_let_126 (not _let_122))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_124) :args (_let_126))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_122))) (REFL :args (_let_123)) :args _let_125)) _let_124 :args (_let_123 true _let_122)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_117))) :args ((or _let_116 _let_104 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_121 1)) (CONG (REFL :args (_let_121)) (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_115))) :args _let_125)) :args ((or _let_115 _let_121))) _let_127 :args (_let_115 true _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args (_let_104 false _let_115 false _let_117)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_97 _let_105 _let_107 (not _let_108)))) _let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_105 _let_106 (not _let_111)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (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_114)) _let_113 :args (_let_111 false _let_112)) :args (_let_106 false _let_104 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :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_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_97 false _let_104 false _let_106 false _let_108)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_84 _let_92 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_91 (not _let_99)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args _let_103) :args _let_102)) _let_101 :args (_let_99 false _let_100)) :args (_let_91 false _let_97 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_96)) _let_95 :args (_let_93 false _let_94)) :args (_let_84 false _let_91 false _let_93)))) (let ((_let_131 (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_132 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (_let_131))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_83 _let_85 _let_45 (not _let_87)))) _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_58) :args _let_133)) _let_132 :args (_let_87 false _let_131)) (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_83 _let_44 _let_85 (not _let_86)))) _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_58) :args _let_90)) _let_89 :args (_let_86 false _let_88)) :args (_let_83 false _let_84 false _let_87 false _let_44 false _let_84 false _let_86)))) (let ((_let_135 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_136 (not _let_83))) (let ((_let_137 (or _let_136 _let_135))) (let ((_let_138 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_139 (or _let_136 _let_136 _let_138))) (let ((_let_140 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_141 (not _let_135))) (let ((_let_142 (or _let_141 _let_140))) (let ((_let_143 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_144 (not _let_138))) (let ((_let_145 (or _let_141 _let_144 _let_143))) (let ((_let_146 (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_147 (not _let_146))) (let ((_let_148 (not _let_140))) (let ((_let_149 (not _let_143))) (let ((_let_150 (or _let_148 _let_149 _let_148 _let_147 _let_75))) (let ((_let_151 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (tptp.cyclic A B D C))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (_let_151))) (let ((_let_154 (forall ((A $$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_155 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (_let_154))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_156)) _let_155 :args (_let_139 false _let_154)))) (let ((_let_158 (REORDERING (FACTORING (CNF_OR_POS :args (_let_139))) :args ((or _let_136 _let_138 (not _let_139)))))) (let ((_let_159 (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_160 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (_let_159))) (let ((_let_162 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_163 (or _let_98 _let_146))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_98 _let_146 (not _let_163)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args _let_73) :args _let_102)) _let_101 :args (_let_163 false _let_100)) :args (_let_146 false _let_97 false _let_163)))) (let ((_let_165 (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_166 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (_let_165))) (let ((_let_168 (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_169 (not _let_168))) (let ((_let_170 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_171 (not _let_170))) (let ((_let_172 (or _let_171 _let_171 _let_171 _let_169 _let_77))) (let ((_let_173 (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_174 (or _let_98 _let_168))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_98 _let_168 (not _let_174)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args _let_173) :args _let_102)) _let_101 :args (_let_174 false _let_100)) :args (_let_168 false _let_97 false _let_174)))) (let ((_let_176 (or _let_169 _let_53 _let_170))) (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 (or _let_98 _let_52))) (let ((_let_179 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_52 _let_98 (not _let_178)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_179) :args _let_64)) _let_63 :args (_let_178 false _let_62)) :args (_let_52 false _let_97 false _let_178)))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_53 _let_170 _let_169 (not _let_176)))) _let_180 _let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_177) :args _let_133)) _let_132 :args (_let_176 false _let_131)) :args (_let_170 false _let_52 false _let_168 false _let_176)))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_172))) :args ((or _let_77 _let_171 _let_169 (not _let_172)))) _let_181 _let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args _let_173) :args _let_167)) _let_166 :args (_let_172 false _let_165)) :args (_let_77 false _let_170 false _let_168 false _let_172)))) (let ((_let_183 (or _let_78 _let_78 _let_67))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_183))) :args ((or _let_67 _let_78 (not _let_183)))) _let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_177) :args _let_82)) _let_81 :args (_let_183 false _let_80)) :args (_let_67 false _let_77 false _let_183)))) (let ((_let_185 (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_66 _let_59 (not _let_69)))))) (let ((_let_186 (MACRO_RESOLUTION_TRUST _let_185 _let_184 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_65 _let_76 (not _let_79)))) _let_182 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_150))) :args ((or _let_75 _let_147 _let_149 _let_148 (not _let_150)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_167)) _let_166 :args (_let_150 false _let_165)) _let_164 (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_141 _let_144 _let_143 (not _let_145)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_156)) _let_155 :args (_let_145 false _let_154)) (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_141 _let_140 (not _let_142)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args _let_162) :args _let_161)) _let_160 :args (_let_142 false _let_159)) _let_158 _let_157 (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_136 _let_135 (not _let_137)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args _let_58) :args _let_153)) _let_152 :args (_let_137 false _let_151)) :args ((or _let_136 _let_75) false _let_150 false _let_146 false _let_143 false _let_145 false _let_140 false _let_142 false _let_138 false _let_139 false _let_135 false _let_137)) _let_134 :args (_let_75 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_58) :args _let_82)) _let_81 :args (_let_79 false _let_80)) :args (_let_65 false _let_77 false _let_75 false _let_79)) _let_74 :args (_let_59 false _let_67 false _let_65 false _let_69)))) (let ((_let_187 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_188 (not _let_43))) (let ((_let_189 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_190 (not _let_189))) (let ((_let_191 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_192 (not _let_191))) (let ((_let_193 (or _let_192 _let_190 _let_188 _let_187))) (let ((_let_194 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.midp E A B)) (not (tptp.para E F B C)) (not (tptp.coll F A C)) (tptp.midp F A C))))) (let ((_let_195 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_196 (_let_194))) (let ((_let_197 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_198 (or _let_60 _let_189))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_58) :args _let_114)) _let_113 :args (_let_198 false _let_112)))) (let ((_let_200 (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_60 _let_189 (not _let_198)))))) (let ((_let_201 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_202 (not _let_187))) (let ((_let_203 (tptp.circle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_204 (not _let_203))) (let ((_let_205 (or _let_204 _let_202 _let_201))) (let ((_let_206 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (M $$unsorted)) (or (not (tptp.circle O A B C)) (not (tptp.midp M B C)) (tptp.eqangle A B A C O B O M))))) (let ((_let_207 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_208 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_209 (not _let_201))) (let ((_let_210 (or _let_171 _let_136 _let_171 _let_209 _let_208))) (let ((_let_211 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_212 (not _let_208))) (let ((_let_213 (or _let_212 _let_211))) (let ((_let_214 (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_215 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_216 (_let_214))) (let ((_let_217 (not _let_211))) (let ((_let_218 (or _let_217 _let_208))) (let ((_let_219 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_220 (or _let_217 _let_217 _let_219))) (let ((_let_221 (or _let_78 _let_78 _let_212 _let_83))) (let ((_let_222 (tptp.circle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_223 (or _let_78 _let_212 _let_222))) (let ((_let_224 (not _let_219))) (let ((_let_225 (or _let_224 _let_65))) (let ((_let_226 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_227 (or _let_144 _let_144 _let_226))) (let ((_let_228 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_229 (or _let_136 _let_60 _let_228))) (let ((_let_230 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_231 (not _let_226))) (let ((_let_232 (or _let_231 _let_231 _let_230))) (let ((_let_233 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_234 (not _let_228))) (let ((_let_235 (or _let_234 _let_190 _let_233))) (let ((_let_236 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_237 (not _let_233))) (let ((_let_238 (or _let_237 _let_236))) (let ((_let_239 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_240 (not _let_236))) (let ((_let_241 (or _let_240 _let_239))) (let ((_let_242 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_243 (not _let_239))) (let ((_let_244 (not _let_222))) (let ((_let_245 (or _let_244 _let_243 _let_147 _let_242))) (let ((_let_246 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_247 (or _let_243 _let_243 _let_246))) (let ((_let_248 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_249 (not _let_242))) (let ((_let_250 (or _let_249 _let_249 _let_248))) (let ((_let_251 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_252 (not _let_248))) (let ((_let_253 (or _let_252 _let_251))) (let ((_let_254 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_255 (or _let_252 _let_254))) (let ((_let_256 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_257 (or _let_252 _let_256))) (let ((_let_258 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_259 (or _let_252 _let_258))) (let ((_let_260 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_261 (not _let_251))) (let ((_let_262 (or _let_261 _let_260))) (let ((_let_263 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_264 (not _let_254))) (let ((_let_265 (or _let_264 _let_263))) (let ((_let_266 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_267 (not _let_256))) (let ((_let_268 (or _let_267 _let_266))) (let ((_let_269 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_270 (not _let_258))) (let ((_let_271 (or _let_270 _let_269))) (let ((_let_272 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_273 (not _let_260))) (let ((_let_274 (or _let_273 _let_272))) (let ((_let_275 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_276 (not _let_263))) (let ((_let_277 (or _let_276 _let_275))) (let ((_let_278 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_279 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_280 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_281 (not _let_275))) (let ((_let_282 (or _let_281 _let_252 _let_280))) (let ((_let_283 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_284 (not _let_278))) (let ((_let_285 (or _let_284 _let_283))) (let ((_let_286 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_287 (or _let_284 _let_284 _let_286))) (let ((_let_288 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_289 (not _let_279))) (let ((_let_290 (or _let_289 _let_288))) (let ((_let_291 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_292 (or _let_289 _let_289 _let_291))) (let ((_let_293 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_294 (not _let_230))) (let ((_let_295 (or _let_289 _let_289 _let_294 _let_273 _let_293))) (let ((_let_296 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_297 (not _let_280))) (let ((_let_298 (or _let_297 _let_296))) (let ((_let_299 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_300 (not _let_283))) (let ((_let_301 (or _let_300 _let_299))) (let ((_let_302 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_303 (not _let_286))) (let ((_let_304 (or _let_300 _let_303 _let_302))) (let ((_let_305 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_306 (not _let_288))) (let ((_let_307 (or _let_306 _let_305))) (let ((_let_308 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_309 (not _let_291))) (let ((_let_310 (or _let_306 _let_309 _let_308))) (let ((_let_311 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_312 (not _let_293))) (let ((_let_313 (or _let_312 _let_311))) (let ((_let_314 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_315 (not _let_296))) (let ((_let_316 (or _let_315 _let_314))) (let ((_let_317 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_318 (not _let_299))) (let ((_let_319 (not _let_302))) (let ((_let_320 (or _let_318 _let_319 _let_318 _let_264 _let_317))) (let ((_let_321 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_322 (not _let_305))) (let ((_let_323 (or _let_322 _let_321))) (let ((_let_324 (tptp.cyclic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_325 (not _let_308))) (let ((_let_326 (or _let_325 _let_325 _let_324))) (let ((_let_327 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_328 (not _let_311))) (let ((_let_329 (or _let_328 _let_312 _let_327))) (let ((_let_330 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_331 (or _let_312 _let_328 _let_330))) (let ((_let_332 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_333 (not _let_317))) (let ((_let_334 (or _let_333 _let_332))) (let ((_let_335 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_336 (or _let_333 _let_333 _let_335))) (let ((_let_337 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_338 (not _let_321))) (let ((_let_339 (or _let_338 _let_252 _let_337))) (let ((_let_340 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_341 (not _let_324))) (let ((_let_342 (or _let_341 _let_340))) (let ((_let_343 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_344 (not _let_330))) (let ((_let_345 (or _let_344 _let_333 _let_343))) (let ((_let_346 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_347 (or _let_344 _let_344 _let_346))) (let ((_let_348 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_349 (not _let_246))) (let ((_let_350 (or _let_344 _let_349 _let_348))) (let ((_let_351 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_352 (not _let_337))) (let ((_let_353 (or _let_352 _let_351))) (let ((_let_354 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_355 (not _let_340))) (let ((_let_356 (or _let_355 _let_354))) (let ((_let_357 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_358 (not _let_343))) (let ((_let_359 (or _let_358 _let_357))) (let ((_let_360 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_361 (not _let_346))) (let ((_let_362 (or _let_361 _let_358 _let_360))) (let ((_let_363 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_364 (not _let_357))) (let ((_let_365 (or _let_361 _let_364 _let_363))) (let ((_let_366 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_367 (not _let_272))) (let ((_let_368 (or _let_367 _let_361 _let_366))) (let ((_let_369 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_370 (not _let_314))) (let ((_let_371 (not _let_348))) (let ((_let_372 (or _let_371 _let_297 _let_370 _let_369))) (let ((_let_373 (tptp.eqangle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_374 (not _let_354))) (let ((_let_375 (or _let_374 _let_322 _let_373))) (let ((_let_376 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_377 (not _let_360))) (let ((_let_378 (or _let_377 _let_376))) (let ((_let_379 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_380 (or _let_377 _let_379))) (let ((_let_381 (tptp.eqratio SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_382 (not _let_376))) (let ((_let_383 (not _let_363))) (let ((_let_384 (or _let_383 _let_382 _let_349 _let_381))) (let ((_let_385 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_386 (or _let_383 _let_385))) (let ((_let_387 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_388 (not _let_366))) (let ((_let_389 (not _let_351))) (let ((_let_390 (or _let_389 _let_388 _let_387))) (let ((_let_391 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_392 (not _let_373))) (let ((_let_393 (or _let_392 _let_252 _let_391))) (let ((_let_394 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_395 (or _let_382 _let_382 _let_394))) (let ((_let_396 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_397 (not _let_335))) (let ((_let_398 (not _let_379))) (let ((_let_399 (or _let_398 _let_397 _let_396))) (let ((_let_400 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_401 (not _let_381))) (let ((_let_402 (or _let_401 _let_344 _let_400))) (let ((_let_403 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_404 (not _let_387))) (let ((_let_405 (or _let_404 _let_403))) (let ((_let_406 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_407 (not _let_391))) (let ((_let_408 (or _let_407 _let_406))) (let ((_let_409 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_410 (not _let_369))) (let ((_let_411 (not _let_396))) (let ((_let_412 (or _let_411 _let_410 _let_409))) (let ((_let_413 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_414 (not _let_332))) (let ((_let_415 (not _let_400))) (let ((_let_416 (or _let_415 _let_414 _let_413))) (let ((_let_417 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_418 (not _let_403))) (let ((_let_419 (or _let_352 _let_418 _let_417))) (let ((_let_420 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_421 (not _let_406))) (let ((_let_422 (not _let_327))) (let ((_let_423 (or _let_422 _let_421 _let_420))) (let ((_let_424 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_425 (not _let_409))) (let ((_let_426 (or _let_415 _let_425 _let_424))) (let ((_let_427 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_428 (not _let_420))) (let ((_let_429 (or _let_404 _let_428 _let_427))) (let ((_let_430 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_431 (not _let_424))) (let ((_let_432 (or _let_431 _let_430))) (let ((_let_433 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_434 (not _let_427))) (let ((_let_435 (or _let_312 _let_434 _let_433))) (let ((_let_436 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_437 (not _let_413))) (let ((_let_438 (not _let_430))) (let ((_let_439 (or _let_438 _let_437 _let_436))) (let ((_let_440 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_441 (not _let_433))) (let ((_let_442 (or _let_441 _let_440))) (let ((_let_443 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_444 (not _let_394))) (let ((_let_445 (not _let_436))) (let ((_let_446 (or _let_445 _let_444 _let_443))) (let ((_let_447 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_448 (not _let_440))) (let ((_let_449 (or _let_448 _let_447))) (let ((_let_450 (tptp.midp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_451 (not _let_385))) (let ((_let_452 (not _let_443))) (let ((_let_453 (or _let_452 _let_451 _let_451 _let_450))) (let ((_let_454 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_455 (not _let_454))) (let ((_let_456 (not _let_447))) (let ((_let_457 (or _let_456 _let_455 _let_120))) (let ((_let_458 (tptp.cong SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_459 (not _let_450))) (let ((_let_460 (not _let_417))) (let ((_let_461 (or _let_460 _let_459 _let_458))) (let ((_let_462 (not _let_458))) (let ((_let_463 (or _let_415 _let_462 _let_454))) (let ((_let_464 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (or (not (tptp.cong O A O B)) (not (tptp.cong O A O C)) (not (tptp.cong O A O D)) (tptp.cyclic A B C D))))) (let ((_let_465 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_466 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (or (not (tptp.cong O A O B)) (not (tptp.cong O A O C)) (tptp.circle O A B C))))) (let ((_let_467 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_468 (_let_466))) (let ((_let_469 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.perp A B C D)) (tptp.perp C D A B))))) (let ((_let_470 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_471 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cyclic A B C D)) (not (tptp.para A B C D)) (tptp.eqangle A D C D C D C B))))) (let ((_let_472 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_473 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_474 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (not (tptp.para P Q U V)) (tptp.para A B C D))))) (let ((_let_475 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_476 (_let_474))) (let ((_let_477 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted) (M $$unsorted)) (or (not (tptp.circle O A B C)) (not (tptp.coll M B C)) (not (tptp.eqangle A B A C O B O M)) (tptp.midp M B C))))) (let ((_let_478 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_479 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.midp E A B)) (not (tptp.midp F A C)) (tptp.para E F B C))))) (let ((_let_480 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_481 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM))) (let ((_let_482 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_483 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle C D A B U V P Q))))) (let ((_let_484 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_485 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle P Q U V A B C D))))) (let ((_let_486 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_487 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_488 (not _let_487))) (let ((_let_489 (not _let_266))) (let ((_let_490 (or _let_489 _let_488 _let_278))) (let ((_let_491 (or _let_489 _let_487 _let_278))) (let ((_let_492 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM))) (let ((_let_493 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_494 (not _let_493))) (let ((_let_495 (not _let_269))) (let ((_let_496 (or _let_495 _let_494 _let_279))) (let ((_let_497 (or _let_495 _let_493 _let_279))) (let ((_let_498 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM))) (let ((_let_499 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.cong A B C D)) (tptp.cong C D A B))))) (let ((_let_507 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_508 (_let_506))) (let ((_let_509 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqangle A B C D P Q U V)) (tptp.eqangle B A C D P Q U V))))) (let ((_let_510 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_511 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.cong A B C D)) (not (tptp.cong C D E F)) (tptp.cong A B E F))))) (let ((_let_512 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_513 (_let_511))) (let ((_let_514 (forall ((A $$unsorted) (B $$unsorted) (C 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM))) (let ((_let_530 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.eqratio A B C D P Q U V)) (not (tptp.cong P Q U V)) (tptp.cong A B C D))))) (let ((_let_531 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_532 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM))) (let ((_let_533 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (M $$unsorted)) (or (not (tptp.perp A B B C)) (not (tptp.midp M A C)) (tptp.cong A M B M))))) (let ((_let_534 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_535 (_let_533))) (let ((_let_536 (forall ((A 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_64)) _let_63 :args (_let_61 false _let_62)) :args (_let_50 false _let_59 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_58) :args _let_57)) _let_56 :args (_let_54 false _let_55)) :args (_let_44 false _let_52 false _let_50 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (false true _let_43 false _let_44 false _let_46)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll A C B))) _let_42 _let_41 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.para A B C D) (tptp.para A B D C))) _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.midp M B A) (tptp.midp M A B))) _let_34 _let_33 _let_32 _let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.cyclic A B C D) (tptp.cyclic B A C D))) _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 (forall ((A $$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 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(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_9 _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.midp A B C) (tptp.cong A B A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.midp A B C) (tptp.coll A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D)) (tptp.eqratio M A A B N C C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.eqangle A B C D C D A B) (not (tptp.para A B C D))) (tptp.perp A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.eqangle A B C D C D A B) (not (tptp.perp A B C D))) (tptp.para A B C D))) _let_4 _let_3 _let_2 (forall ((A $$unsorted) (M $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((B $$unsorted)) (=> (and (tptp.perp O M M A) (tptp.eqangle X O M O M O A O)) (and (tptp.coll B A M) (tptp.coll B O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.eqangle A O O X O X O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.perp O X A B) (tptp.eqangle A O O X O X O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted) (X $$unsorted)) (exists ((M $$unsorted)) (=> (and (tptp.perp O X A B) (tptp.cong O A O B)) (and (tptp.coll B A M) (tptp.coll M O X))))) (forall ((A $$unsorted) (B $$unsorted) (P $$unsorted) (X $$unsorted) (Y $$unsorted)) (exists ((Q $$unsorted)) (=> (and (tptp.eqangle A P B P A X B Y) (not (tptp.coll A B P))) (and (tptp.eqangle A P B P A Q B Q) (tptp.cyclic X B P Q))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D)) (and (tptp.midp P A D) (tptp.para P M B D) (tptp.para P N A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted) (Q $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.midp M A B) (tptp.midp N C D) (tptp.coll C A B) (tptp.coll D A B)) (tptp.midp P A Q)))) (forall ((A $$unsorted) (B $$unsorted) (M $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted) (M $$unsorted)) (exists ((X $$unsorted)) (=> (and (tptp.midp M A B) (tptp.para A P R M) (tptp.para A P B Q) (tptp.coll P Q R)) (and (tptp.coll X A Q) (tptp.coll X M R))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (O $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.cong O C O D) (tptp.perp A B B O)) (and (tptp.cong O C O P) (tptp.para P C A B) (tptp.cong B C B P))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (H $$unsorted)) (exists ((P $$unsorted) (Q $$unsorted)) (=> (and (tptp.perp A H B C) (tptp.perp B H A C)) (and (tptp.coll P C B) (tptp.perp A P C B) (tptp.coll Q C A) (tptp.perp B Q C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (exists ((P $$unsorted)) (=> (tptp.circle O A B C) (tptp.perp P A A O)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted) (N $$unsorted)) (exists ((P $$unsorted) (Q $$unsorted)) (=> (and (tptp.circle M A B C) (tptp.cong M A M D) (tptp.cong N A N B) (not (= M N))) (and (tptp.coll P A C) (tptp.cong P N N A) (tptp.coll Q B D) (tptp.cong Q N N A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (exists ((O $$unsorted)) (=> (and (tptp.cyclic A B C D) (tptp.para A B C D) (tptp.midp M A B)) (tptp.circle O A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (exists ((O $$unsorted)) (=> (and (tptp.perp A C C B) (tptp.cyclic A B C D)) (tptp.circle O A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted) (F $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.perp A C C B) (tptp.coll B E F)) (and (tptp.coll P E F) (tptp.perp P A E F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (M $$unsorted)) (exists ((P $$unsorted)) (=> (and (tptp.perp A B A C) (tptp.perp C A C D) (tptp.midp M B D)) (tptp.midp P A C)))) (forall ((A $$unsorted) (B $$unsorted) (O $$unsorted)) (exists ((C $$unsorted)) (=> (and (tptp.cong O A O B) (tptp.perp A O O B)) (and (tptp.coll A O C) (tptp.cong O A O C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (=> (and (tptp.para A B C D) (tptp.coll P A C) (tptp.coll P B D) (tptp.coll Q A B)) (and (tptp.coll P Q R) (tptp.coll R C D))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.29/15.49 )
% 15.29/15.49 % SZS output end Proof for GEO590+1
% 15.29/15.49 % cvc5---1.0.5 exiting
% 15.29/15.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------