TSTP Solution File: GEO603+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO603+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 22:51:53 EDT 2023
% Result : Theorem 34.46s 34.66s
% Output : Proof 34.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO603+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 21:29:20 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 34.46/34.66 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7Pb5P54ntp/cvc5---1.0.5_1039.p...
% 34.46/34.66 ------- get file name : TPTP file name is GEO603+1
% 34.46/34.66 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1039.smt2...
% 34.46/34.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 34.46/34.66 --- Run --no-e-matching --full-saturate-quant at 5...
% 34.46/34.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 34.46/34.66 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 34.46/34.66 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 34.46/34.66 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 34.46/34.66 % SZS status Theorem for GEO603+1
% 34.46/34.66 % SZS output start Proof for GEO603+1
% 34.46/34.66 (
% 34.46/34.66 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.circle D A B C) (tptp.coll E A B) (tptp.para B C F E) (tptp.coll F A C) (tptp.circle G A E F)) (tptp.coll A G D)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (exists ((P $$unsorted)) (=> (tptp.circle O A B C) (tptp.perp P A A O)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.para A B A C) (tptp.coll A B C))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.perp A B C D) (tptp.perp C D E F)) (tptp.para A B E F))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.perp A B C D) (tptp.perp C D A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.coll A B C) (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll B A C))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.coll A B C) (tptp.coll A C B))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.coll A B C)) (not (tptp.coll A B D)) (tptp.coll C D A))))) (let ((_let_10 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_10))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_19 _let_11))) (let ((_let_21 (_let_9))) (let ((_let_22 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_23 _let_18))) (let ((_let_25 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_22))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.para A B A C)) (tptp.coll A B C))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((not (= (tptp.para A B A C) false))))) (let ((_let_32 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_25))) (let ((_let_37 (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_38 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.perp A B C D) false)) (not (= (tptp.perp C D E F) false))))) (let ((_let_41 (or _let_33 _let_34))) (let ((_let_42 (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_43 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((not (= (tptp.perp A B C D) false))))) (let ((_let_46 (forall ((BOUND_VARIABLE_2534 $$unsorted)) (not (tptp.perp BOUND_VARIABLE_2534 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.circle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (O $$unsorted)) (or (not (tptp.circle O A B C)) (not (forall ((BOUND_VARIABLE_2534 $$unsorted)) (not (tptp.perp BOUND_VARIABLE_2534 A A O)))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 ((not (= (tptp.circle O A B C) false))))) (let ((_let_55 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_56 (tptp.circle SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_49 _let_55))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (not (tptp.circle D A B C)) (not (tptp.coll E A B)) (not (tptp.para B C F E)) (not (tptp.coll F A C)) (not (tptp.circle G A E F)) (tptp.coll A G D))))) (let ((_let_60 (not _let_58))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (or))) (let ((_let_63 (not _let_59))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_61) :args (_let_63))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_59))) (REFL :args (_let_60)) :args _let_62)) _let_61 :args (_let_60 true _let_59)))) (let ((_let_65 (REFL :args (_let_58)))) (let ((_let_66 (_let_47))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66) (REWRITE :args ((=> _let_47 (not _let_33)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) (REFL :args (_let_32)) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 4)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_62)) :args ((or _let_48 _let_58))) _let_64 :args (_let_48 true _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_52 :args (_let_50 false _let_51)) :args (_let_47 false _let_48 false _let_50)) :args (_let_32 true _let_46)))) (let ((_let_68 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_69 _let_13))) (let ((_let_71 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_72 _let_68))) (let ((_let_74 (tptp.para SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_71))) (let ((_let_77 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78 _let_74))) (let ((_let_82 (or _let_78 _let_79))) (let ((_let_83 (forall ((BOUND_VARIABLE_2534 $$unsorted)) (not (tptp.perp BOUND_VARIABLE_2534 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_57 _let_84))) (let ((_let_86 (_let_84))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_86)) :args _let_86) (REWRITE :args ((=> _let_84 (not _let_78)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_83))) (REFL :args (_let_77)) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_57 _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_62)) :args ((or _let_56 _let_58))) _let_64 :args (_let_56 true _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_52 :args (_let_85 false _let_51)) :args (_let_84 false _let_56 false _let_85)) :args (_let_77 true _let_83)))) (let ((_let_88 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_89 (not _let_10))) (let ((_let_90 (or _let_89 _let_88))) (let ((_let_91 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.coll A B C)) (tptp.coll A C B))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 ((not (= (tptp.coll A C B) true))))) (let ((_let_95 (tptp.coll SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_96 (not _let_88))) (let ((_let_97 (or _let_96 _let_95))) (let ((_let_98 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.coll A B C)) (tptp.coll B A C))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (not _let_95))) (let ((_let_101 (or _let_100 _let_55))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_10 _let_14 _let_12 _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_88 _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_95 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_55 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 5)) _let_64 :args ((not _let_55) true _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)) _let_92 :args (_let_101 false _let_91)) :args (_let_100 true _let_55 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.coll B A C) true))))) :args (_let_98))) _let_99 :args (_let_97 false _let_98)) :args (_let_96 true _let_95 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_82 false _let_42)) :args (_let_79 false _let_77 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_81 false _let_37)) :args (_let_74 false _let_77 false _let_79 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_76 false _let_28)) :args (_let_71 false _let_74 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args 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(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))) (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))) (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))) (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 $$unsorted)) (=> (and (tptp.perp A H B C) (tptp.perp B H A C)) (and (tptp.coll P C B) (tptp.perp A P C B) (tptp.coll Q C A) (tptp.perp B Q C A))))) _let_2 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 34.48/34.67 )
% 34.48/34.67 % SZS output end Proof for GEO603+1
% 34.48/34.67 % cvc5---1.0.5 exiting
% 34.48/34.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------