TSTP Solution File: GEO093+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 22:49:41 EDT 2023
% Result : Theorem 17.94s 18.24s
% Output : Proof 17.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.08 % Command : do_cvc5 %s %d
% 0.08/0.27 % Computer : n021.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Aug 29 21:20:59 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.12/0.35 %----Proving TF0_NAR, FOF, or CNF
% 17.94/18.24 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tX0DT7qzSm/cvc5---1.0.5_11058.p...
% 17.94/18.24 ------- get file name : TPTP file name is GEO093+1
% 17.94/18.24 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11058.smt2...
% 17.94/18.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 17.94/18.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 17.94/18.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 17.94/18.24 % SZS status Theorem for GEO093+1
% 17.94/18.24 % SZS output start Proof for GEO093+1
% 17.94/18.24 (
% 17.94/18.24 (let ((_let_1 (not (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (P $$unsorted)) (=> (and (tptp.open C) (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.meet P C1 C2)) (tptp.open (tptp.sum C1 C2))))))) (let ((_let_2 (forall ((C $$unsorted) (C1 $$unsorted)) (=> (and (tptp.part_of C1 C) (not (= C1 C))) (tptp.open C1))))) (let ((_let_3 (forall ((C $$unsorted)) (= (tptp.open C) (exists ((P $$unsorted)) (tptp.end_point P C)))))) (let ((_let_4 (forall ((C $$unsorted)) (= (tptp.closed C) (not (exists ((P $$unsorted)) (tptp.end_point P C))))))) (let ((_let_5 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted)) (= (= C (tptp.sum C1 C2)) (forall ((Q $$unsorted)) (= (tptp.incident_c Q C) (or (tptp.incident_c Q C1) (tptp.incident_c Q C2)))))))) (let ((_let_6 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (=> (tptp.incident_c P C1) (tptp.incident_c P C))))))) (let ((_let_7 (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 _let_7))) (let ((_let_9 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (or _let_10 _let_9))) (let ((_let_12 (= _let_8 _let_11))) (let ((_let_13 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (not _let_8))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (forall ((P $$unsorted)) (or (not (tptp.incident_c P (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (tptp.part_of _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (not _let_16))) (let ((_let_21 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (or (not (tptp.incident_c P C1)) (tptp.incident_c P C))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_ENUM))) (let ((_let_25 (tptp.open _let_7))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_27 (not _let_18))) (let ((_let_28 (or _let_27 _let_26 _let_25))) (let ((_let_29 (forall ((C $$unsorted) (C1 $$unsorted)) (or (not (tptp.part_of C1 C)) (= C C1) (tptp.open C1))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.closed SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (tptp.closed _let_7))) (let ((_let_33 (not _let_26))) (let ((_let_34 (forall ((P $$unsorted)) (not (tptp.end_point P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_35 (= _let_31 _let_34))) (let ((_let_36 (not _let_31))) (let ((_let_37 (forall ((C $$unsorted)) (= (tptp.closed C) (forall ((P $$unsorted)) (not (tptp.end_point P C))))))) (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 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_41 (forall ((P $$unsorted)) (not (tptp.end_point P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_42 (not _let_34))) (let ((_let_43 (not _let_41))) (let ((_let_44 (tptp.open SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (forall ((C $$unsorted)) (= (tptp.open C) (not (forall ((P $$unsorted)) (not (tptp.end_point P C)))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (not _let_44))) (let ((_let_54 (or _let_53 _let_52 _let_50 (not (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_25))) (let ((_let_55 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (P $$unsorted)) (or (not (tptp.open C)) (not (tptp.part_of C1 C)) (not (tptp.part_of C2 C)) (not (tptp.meet P C1 C2)) (tptp.open (tptp.sum C1 C2)))))) (let ((_let_56 (not _let_54))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (or))) (let ((_let_59 (not _let_55))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_57) :args (_let_59))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_55))) (REFL :args (_let_56)) :args _let_58)) _let_57 :args (_let_56 true _let_55)))) (let ((_let_61 (REFL :args (_let_54)))) (let ((_let_62 (forall ((P $$unsorted)) (not (tptp.end_point P (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_63 (= _let_32 _let_62))) (let ((_let_64 (_let_7 QUANTIFIERS_INST_ENUM))) (let ((_let_65 (forall ((P $$unsorted)) (not (tptp.end_point P (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_66 (not _let_65))) (let ((_let_67 (= _let_25 _let_66))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_54 4)) _let_60 :args ((not _let_25) true _let_54)))) (let ((_let_69 (not _let_67))) (let ((_let_70 (_let_20))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_70)) :args _let_70)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_19)) :args ((or _let_18 _let_20 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_25 _let_27 _let_26 (not _let_28)))) _let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (ASSUME :args (_let_32)))) (CONG (SYMM (ASSUME :args (_let_26))) :args (APPLY_UF tptp.closed)) (FALSE_INTRO (ASSUME :args (_let_36))))) :args (_let_36 _let_26 _let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_31))) (REFL :args (_let_33)) (REFL :args ((not _let_32))) :args _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_32 (not _let_62) (not _let_63)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_65 (= P P)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_67)) (CONG (REFL :args (_let_69)) (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_58)) :args ((or _let_25 _let_65 _let_69))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_64) :args _let_48)) _let_47 :args (_let_67 false _let_46)) :args (_let_65 true _let_25 false _let_67)) :args (_let_62 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_64) :args _let_39)) _let_38 :args (_let_63 false _let_37)) :args (_let_32 false _let_62 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or _let_34 _let_36 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_34 (= P P)))) :args ((or _let_41 _let_42))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_53 _let_43 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_44))) :args _let_58)) :args ((or _let_44 _let_54))) _let_60 :args (_let_44 true _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_40) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_43 false _let_44 false _let_45)) :args (_let_42 true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_40) :args _let_39)) _let_38 :args (_let_35 false _let_37)) :args (_let_36 true _let_34 false _let_35)) :args (_let_33 false _let_32 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args _let_24) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_27 true _let_25 true _let_26 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args _let_24) :args _let_23)) _let_22 :args (_let_19 false _let_21)) :args (_let_20 true _let_18 false _let_19)) :args (_let_17 true _let_16)))) (let ((_let_72 (not _let_11))) (let ((_let_73 (not _let_9))) (let ((_let_74 (or _let_73 _let_13))) (let ((_let_75 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_76 (= _let_49 _let_75))) (let ((_let_77 (_let_75))) (let ((_let_78 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 QUANTIFIERS_INST_ENUM))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 1)) _let_71 :args ((not _let_13) true _let_15)))) (let ((_let_80 (not _let_10))) (let ((_let_81 (or _let_80 _let_13))) (let ((_let_82 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_83 (= _let_51 _let_82))) (let ((_let_84 (_let_82))) (let ((_let_85 (forall ((Q $$unsorted)) (= (or (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.incident_c Q (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_86 (_let_5))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (_let_85))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_12)) :args ((or _let_14 _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_88))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_86))) _let_87 :args (_let_85 false _let_5)) :args (_let_12 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_9 _let_72))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_13 _let_80 (not _let_81)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_84) :args _let_78) :args _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_83)) :args ((or _let_52 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 1)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_58)) :args ((or _let_51 _let_54))) _let_60 :args (_let_51 true _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_23)) _let_22 :args (_let_83 false _let_21)) :args (_let_82 false _let_51 false _let_83)) :args (_let_81 false _let_82)) :args (_let_80 true _let_13 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_13 _let_73 (not _let_74)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_77) :args _let_78) :args _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_50 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 2)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_58)) :args ((or _let_49 _let_54))) _let_60 :args (_let_49 true _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_22 :args (_let_76 false _let_21)) :args (_let_75 false _let_49 false _let_76)) :args (_let_74 false _let_75)) :args (_let_73 true _let_13 false _let_74)) :args (_let_72 true _let_10 true _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_8))) :args _let_58)) :args ((or _let_8 _let_15))) _let_71 :args (_let_8 true _let_15)) :args (false false _let_12 true _let_11 false _let_8)) :args (_let_6 _let_5 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.end_point P C) (and (tptp.incident_c P C) (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.incident_c P C1) (tptp.incident_c P C2)) (or (tptp.part_of C1 C2) (tptp.part_of C2 C1))))))) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.inner_point P C) (and (tptp.incident_c P C) (not (tptp.end_point P C))))) (forall ((P $$unsorted) (C $$unsorted) (C1 $$unsorted)) (= (tptp.meet P C C1) (and (tptp.incident_c P C) (tptp.incident_c P C1) (forall ((Q $$unsorted)) (=> (and (tptp.incident_c Q C) (tptp.incident_c Q C1)) (and (tptp.end_point Q C) (tptp.end_point Q C1))))))) _let_4 _let_3 _let_2 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.part_of C3 C) (exists ((P $$unsorted)) (and (tptp.end_point P C1) (tptp.end_point P C2) (tptp.end_point P C3)))) (or (tptp.part_of C2 C3) (tptp.part_of C3 C2) (tptp.part_of C1 C2) (tptp.part_of C2 C1) (tptp.part_of C1 C3) (tptp.part_of C3 C1)))) (forall ((C $$unsorted)) (exists ((P $$unsorted)) (tptp.inner_point P C))) (forall ((C $$unsorted) (P $$unsorted)) (=> (tptp.inner_point P C) (exists ((C1 $$unsorted) (C2 $$unsorted)) (and (tptp.meet P C1 C2) (= C (tptp.sum C1 C2)))))) (forall ((C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.end_point P C) (tptp.end_point Q C) (tptp.end_point R C)) (or (= P Q) (= P R) (= Q R)))) (forall ((C $$unsorted) (P $$unsorted)) (=> (tptp.end_point P C) (exists ((Q $$unsorted)) (and (tptp.end_point Q C) (not (= P Q)))))) (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (P $$unsorted)) (=> (and (tptp.closed C) (tptp.meet P C1 C2) (= C (tptp.sum C1 C2))) (forall ((Q $$unsorted)) (=> (tptp.end_point Q C1) (tptp.meet Q C1 C2))))) (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (exists ((P $$unsorted)) (tptp.meet P C1 C2)) (exists ((C $$unsorted)) (= C (tptp.sum C1 C2))))) (forall ((C $$unsorted) (C1 $$unsorted)) (=> (forall ((P $$unsorted)) (= (tptp.incident_c P C) (tptp.incident_c P C1))) (= C C1))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 17.94/18.25 )
% 17.94/18.25 % SZS output end Proof for GEO093+1
% 17.94/18.25 % cvc5---1.0.5 exiting
% 17.94/18.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------