%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 10.41s 10.99s
% Output   : Proof 10.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.10  % Command    : do_cvc5 %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Tue Aug 29 19:05:46 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.37  %----Proving TF0_NAR, FOF, or CNF
% 10.41/10.99  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.iHL85wQDXK/cvc5---1.0.5_16998.p...
% 10.41/10.99  ------- get file name : TPTP file name is GEO094+1
% 10.41/10.99  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16998.smt2...
% 10.41/10.99  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.99  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.41/10.99  % SZS status Theorem for GEO094+1
% 10.41/10.99  % SZS output start Proof for GEO094+1
% 10.41/10.99  (
% 10.41/10.99  (let ((_let_1 (not (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (P $$unsorted)) (=> (and (tptp.meet P C1 C2) (tptp.part_of C1 C) (tptp.part_of C2 C)) (not (tptp.end_point P C))))))) (let ((_let_2 (forall ((C $$unsorted)) (exists ((P $$unsorted)) (tptp.inner_point P C))))) (let ((_let_3 (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 ((_let_4 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.inner_point P C) (and (tptp.incident_c P C) (not (tptp.end_point P C))))))) (let ((_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))))))))) (let ((_let_6 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (=> (tptp.incident_c P C1) (tptp.incident_c P C))))))) (let ((_let_7 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_8 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (= _let_12 _let_7))) (let ((_let_14 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (or (not (tptp.incident_c P C1)) (tptp.incident_c P C))))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (_let_14))) (let ((_let_17 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21 _let_19 _let_12 _let_17))) (let ((_let_27 (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.part_of C2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 C1)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1))))) (let ((_let_28 (and (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_27))) (let ((_let_29 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.end_point P C) (and (tptp.incident_c P C) (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 C)) (not (tptp.part_of C2 C)) (not (tptp.incident_c P C1)) (not (tptp.incident_c P C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1)))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (not _let_29))) (let ((_let_34 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_25 _let_23 _let_33))) (let ((_let_37 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (P $$unsorted)) (or (not (tptp.meet P C1 C2)) (not (tptp.part_of C1 C)) (not (tptp.part_of C2 C)) (not (tptp.end_point P C)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)))) (let ((_let_43 (REFL :args (_let_36)))) (let ((_let_44 (_let_27))) (let ((_let_45 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_46 (forall ((Q $$unsorted)) (or (not (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and (tptp.end_point Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.end_point Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_47 (and _let_20 _let_18 _let_46))) (let ((_let_48 (= _let_34 _let_47))) (let ((_let_49 (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)) (or (not (tptp.incident_c Q C)) (not (tptp.incident_c Q C1)) (and (tptp.end_point Q C) (tptp.end_point Q C1))))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or _let_35 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_40)) :args ((or _let_34 _let_36))) _let_42 :args (_let_34 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_47 false _let_34 false _let_48)))) (let ((_let_52 (not _let_47))) (let ((_let_53 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_54 (= _let_17 _let_53))) (let ((_let_55 (not _let_17))) (let ((_let_56 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_57 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_62 (not _let_61))) (let ((_let_63 (and _let_57 _let_62))) (let ((_let_64 (tptp.inner_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_65 (= _let_64 _let_63))) (let ((_let_66 (_let_4))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (forall ((P $$unsorted)) (not (tptp.inner_point P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_69 (forall ((C $$unsorted)) (not (forall ((P $$unsorted)) (not (tptp.inner_point P C))))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_69))) (let ((_let_73 (not _let_64))) (let ((_let_74 (_let_70))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or _let_73 _let_63 (not _let_65)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74) (REWRITE :args ((=> _let_70 (not _let_73)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_68))) (REFL :args (_let_64)) :args _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_71 :args (_let_70 false _let_69)) :args (_let_64 true _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_66)) _let_67 :args (_let_65 false _let_4)) :args (_let_63 false _let_64 false _let_65)))) (let ((_let_76 (not _let_63))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 0)) :args ((or _let_57 _let_76))) _let_75 :args (_let_57 false _let_63)))) (let ((_let_78 (and (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_61))) (let ((_let_79 (not _let_56))) (let ((_let_80 (or _let_79 _let_58 _let_78))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_47 2)) :args ((or _let_46 _let_52))) _let_51 :args (_let_46 false _let_47)))) (let ((_let_82 (_let_46))) (let ((_let_83 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_84 (ASSUME :args _let_82))) (let ((_let_85 (not _let_78))) (let ((_let_86 (_let_53))) (let ((_let_87 (not _let_11))) (let ((_let_88 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_89 (and _let_88 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_90 (not _let_8))) (let ((_let_91 (or _let_10 _let_90 _let_89))) (let ((_let_92 (not _let_89))) (let ((_let_93 (not _let_88))) (let ((_let_94 (and _let_9 _let_93))) (let ((_let_95 (tptp.inner_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_96 (= _let_95 _let_94))) (let ((_let_97 (forall ((P $$unsorted)) (not (tptp.inner_point P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_98 (not _let_97))) (let ((_let_99 (not _let_95))) (let ((_let_100 (_let_98))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_96)) :args ((or _let_99 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100) (REWRITE :args ((=> _let_98 (not _let_99)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_97))) (REFL :args (_let_95)) :args _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_71 :args (_let_98 false _let_69)) :args (_let_95 true _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_66)) _let_67 :args (_let_96 false _let_4)) :args (_let_94 false _let_95 false _let_96)))) (let ((_let_102 (not _let_94))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 0)) :args ((or _let_9 _let_102))) _let_101 :args (_let_9 false _let_94)))) (let ((_let_104 (_let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 _let_87))) _let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_10 _let_90 _let_89 (not _let_91)))) _let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 0)) :args ((or _let_88 _let_92))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 1)) :args ((or _let_93 _let_102))) _let_101 :args (_let_93 false _let_94)) :args (_let_92 true _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_ENUM)) :args _let_82)) _let_81 :args (_let_91 false _let_46)) :args (_let_90 false _let_9 true _let_89 false _let_91)) :args (_let_87 false _let_9 true _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or (not _let_12) _let_7 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_21 _let_12 _let_17 _let_19 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_40)) :args ((or _let_24 _let_36))) _let_42 :args (_let_24 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_40)) :args ((or _let_22 _let_36))) _let_42 :args (_let_22 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_47 0)) :args ((or _let_20 _let_52))) _let_51 :args (_let_20 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_55 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args _let_83) :args _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_56 _let_58 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_58 _let_78 (not _let_80)))) _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_61 _let_85))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_62 _let_76))) _let_75 :args (_let_62 false _let_63)) :args (_let_85 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_83) :args _let_82)) _let_81 :args (_let_80 false _let_46)) :args (_let_79 false _let_57 true _let_78 false _let_80)) _let_77 :args (_let_60 true _let_56 false _let_57)) :args ((not _let_53) true _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args _let_45) :args _let_16)) _let_15 :args (_let_54 false _let_14)) :args (_let_55 true _let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_47 1)) :args ((or _let_18 _let_52))) _let_51 :args (_let_18 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args _let_45) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or _let_33 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 3)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) :args _let_40)) :args ((or _let_29 _let_36))) _let_42 :args (_let_29 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_29 false _let_30)) :args (_let_27 false _let_28)) :args (_let_26 false _let_27)) :args (_let_12 false _let_24 false _let_22 false _let_20 true _let_17 false _let_18 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_16)) _let_15 :args (_let_13 false _let_14)) :args (_let_7 false _let_12 false _let_13)) :args (false true _let_11 false _let_7)) :args (_let_6 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted)) (= (= C (tptp.sum C1 C2)) (forall ((Q $$unsorted)) (= (tptp.incident_c Q C) (or (tptp.incident_c Q C1) (tptp.incident_c Q C2)))))) _let_5 _let_4 _let_3 (forall ((C $$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)))) _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.41/11.00  )
% 10.41/11.00  % SZS output end Proof for GEO094+1
% 10.41/11.00  % cvc5---1.0.5 exiting
% 10.41/11.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------