%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 22:49:39 EDT 2023

% Result   : Theorem 0.20s 0.68s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n014.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 23:04:30 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.68  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.4tirAXvk5l/cvc5---1.0.5_25273.p...
% 0.20/0.68  ------- get file name : TPTP file name is GEO088+1
% 0.20/0.68  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25273.smt2...
% 0.20/0.68  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.68  % SZS status Theorem for GEO088+1
% 0.20/0.68  % SZS output start Proof for GEO088+1
% 0.20/0.68  (
% 0.20/0.68  (let ((_let_1 (not (forall ((C $$unsorted) (Cpp $$unsorted) (P $$unsorted)) (=> (and (tptp.part_of Cpp C) (tptp.end_point P C) (tptp.incident_c P Cpp)) (tptp.end_point P Cpp)))))) (let ((_let_2 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.end_point P C) (and (tptp.incident_c P C) (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.incident_c P C1) (tptp.incident_c P C2)) (or (tptp.part_of C1 C2) (tptp.part_of C2 C1))))))))) (let ((_let_3 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (=> (tptp.incident_c P C1) (tptp.incident_c P C))))))) (let ((_let_4 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_9 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (forall ((C $$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_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (_let_11))) (let ((_let_14 ((tptp.part_of C1 C)))) (let ((_let_15 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_9))) (let ((_let_21 (or _let_20 _let_19 _let_17 _let_15))) (let ((_let_22 (forall ((C $$unsorted) (Cpp $$unsorted) (P $$unsorted)) (or (not (tptp.part_of Cpp C)) (not (tptp.end_point P C)) (not (tptp.incident_c P Cpp)) (tptp.end_point P Cpp))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (REFL :args (_let_21)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_20 _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_9))) :args _let_25)) :args ((or _let_9 _let_21))) _let_27 :args (_let_9 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_14)) :args _let_13)) _let_12 :args (_let_10 false _let_11)) :args (_let_8 false _let_9 false _let_10)))) (let ((_let_30 (_let_8))) (let ((_let_31 ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) true))))) (let ((_let_32 (ASSUME :args _let_30))) (let ((_let_33 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_4))) (let ((_let_36 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (= _let_38 _let_36))) (let ((_let_40 (not _let_36))) (let ((_let_41 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_42 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_43 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_38))) (let ((_let_50 (or _let_49 _let_48 _let_46 _let_44 _let_42 _let_41))) (let ((_let_51 (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.part_of C2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C1)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1))))) (let ((_let_52 (and (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_51))) (let ((_let_53 (= _let_18 _let_52))) (let ((_let_54 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.end_point P C) (and (tptp.incident_c P C) (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 C)) (not (tptp.part_of C2 C)) (not (tptp.incident_c P C1)) (not (tptp.incident_c P C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1)))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.end_point P C)))) (let ((_let_58 (_let_51))) (let ((_let_59 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_60 (= _let_47 _let_59))) (let ((_let_61 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_66 (or _let_63 _let_65))) (let ((_let_67 (not _let_65))) (let ((_let_68 (or _let_67 _let_61))) (let ((_let_69 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_70 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_71 (= _let_70 _let_69))) (let ((_let_72 (not _let_70))) (let ((_let_73 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72 _let_46 _let_44 _let_42 _let_41))) (let ((_let_76 (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.part_of C2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C1)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1))))) (let ((_let_77 (not _let_75))) (let ((_let_78 (and _let_16 _let_76))) (let ((_let_79 (not _let_76))) (let ((_let_80 (= _let_15 _let_78))) (let ((_let_81 (not _let_78))) (let ((_let_82 (_let_79))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_76))) (REFL :args (_let_77)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_78)) :args ((or _let_17 _let_78 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_25)) :args ((or _let_16 _let_21))) _let_27 :args (_let_16 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_80)) :args ((or _let_15 _let_81 (not _let_80)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 3)) _let_27 :args ((not _let_15) true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_80 false _let_54)) :args (_let_81 true _let_15 false _let_80)) :args (_let_79 false _let_16 true _let_78)) :args (_let_77 true _let_76)))) (let ((_let_84 (REFL :args (_let_75)))) (let ((_let_85 (_let_69))) (let ((_let_86 (not _let_59))) (let ((_let_87 (_let_86))) (let ((_let_88 (_let_40))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_88)) :args _let_88)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_39)) :args ((or _let_38 _let_40 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_46 _let_44 _let_42 _let_41 _let_49 _let_48 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 2)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_25)) :args ((or _let_45 _let_75))) _let_83 :args (_let_45 true _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 3)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_25)) :args ((or _let_43 _let_75))) _let_83 :args (_let_43 true _let_75)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_75 4)) _let_83 :args ((not _let_42) true _let_75)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_75 5)) _let_83 :args ((not _let_41) true _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_47 _let_86 (not _let_60)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_59))) (REFL :args ((not _let_64))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_61 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_68 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_63 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_85) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) false))))) :args _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or _let_72 _let_69 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 1)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_70))) :args _let_25)) :args ((or _let_70 _let_75))) _let_83 :args (_let_70 true _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_14)) :args _let_13)) _let_12 :args (_let_71 false _let_11)) :args (_let_69 false _let_70 false _let_71)) :args (_let_66 false _let_69)) (CNF_OR_NEG :args (_let_64 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG (REFL :args (_let_64)) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_25)) :args ((or _let_62 _let_64))) :args (_let_64 false _let_68 false _let_65 false _let_66 true _let_61 false _let_62)) :args (_let_59 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_14)) :args _let_13)) _let_12 :args (_let_60 false _let_11)) :args (_let_47 false _let_59 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.part_of C1 C2) true))))) :args _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or _let_19 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_25)) :args ((or _let_18 _let_21))) _let_27 :args (_let_18 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_18 false _let_53)) :args (_let_51 false _let_52)) :args (_let_50 false _let_51)) :args (_let_49 false _let_45 false _let_43 true _let_42 true _let_41 false _let_47 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_14)) :args _let_13)) _let_12 :args (_let_39 false _let_11)) :args (_let_40 true _let_38 false _let_39)) :args (_let_37 true _let_36)))) (let ((_let_90 (or _let_34 _let_5))) (let ((_let_91 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_92 (= _let_73 _let_91))) (let ((_let_93 (_let_91))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_4 _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_34 _let_5 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_25)) :args ((or _let_33 _let_35))) _let_89 :args (_let_33 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) false))))) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_74 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 0)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_25)) :args ((or _let_73 _let_75))) _let_83 :args (_let_73 true _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_14)) :args _let_13)) _let_12 :args (_let_92 false _let_11)) :args (_let_91 false _let_73 false _let_92)) :args (_let_90 false _let_91)) :args (_let_5 false _let_33 false _let_90)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 1)) _let_89 :args ((not _let_4) true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_7 false _let_8)) :args (false false _let_5 true _let_4 false _let_7)) :args (_let_3 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted)) (= (= C (tptp.sum C1 C2)) (forall ((Q $$unsorted)) (= (tptp.incident_c Q C) (or (tptp.incident_c Q C1) (tptp.incident_c Q C2)))))) _let_2 (forall ((P $$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 $$unsorted)) (=> (and (tptp.incident_c Q C) (tptp.incident_c Q C1)) (and (tptp.end_point Q C) (tptp.end_point Q C1))))))) (forall ((C $$unsorted)) (= (tptp.closed C) (not (exists ((P $$unsorted)) (tptp.end_point P C))))) (forall ((C $$unsorted)) (= (tptp.open C) (exists ((P $$unsorted)) (tptp.end_point P C)))) (forall ((C $$unsorted) (C1 $$unsorted)) (=> (and (tptp.part_of C1 C) (not (= C1 C))) (tptp.open C1))) (forall ((C $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.68  )
% 0.20/0.68  % SZS output end Proof for GEO088+1
% 0.20/0.68  % cvc5---1.0.5 exiting
% 0.20/0.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------