%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO090+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 22:49:40 EDT 2023

% Result   : Theorem 27.47s 27.82s
% Output   : Proof 27.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GEO090+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.32  % Computer : n012.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 23:48:23 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  %----Proving TF0_NAR, FOF, or CNF
% 27.47/27.82  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9mSPrs2mrl/cvc5---1.0.5_31674.p...
% 27.47/27.82  ------- get file name : TPTP file name is GEO090+1
% 27.47/27.82  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31674.smt2...
% 27.47/27.82  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 27.47/27.82  --- Run --no-e-matching --full-saturate-quant at 5...
% 27.47/27.82  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 27.47/27.82  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 27.47/27.82  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.47/27.82  % SZS status Theorem for GEO090+1
% 27.47/27.82  % SZS output start Proof for GEO090+1
% 27.47/27.82  (
% 27.47/27.82  (let ((_let_1 (not (forall ((C1 $$unsorted) (C2 $$unsorted) (Cpp $$unsorted) (P $$unsorted)) (=> (and (tptp.part_of C2 C1) (tptp.incident_c P C2) (tptp.meet P C1 Cpp)) (tptp.meet P C2 Cpp)))))) (let ((_let_2 (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_3 (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_4 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (=> (tptp.incident_c P C1) (tptp.incident_c P C))))))) (let ((_let_5 (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.part_of C2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C1)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1))))) (let ((_let_6 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_7 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_8 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11 _let_9 _let_7 _let_6))) (let ((_let_17 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (and _let_17 _let_5))) (let ((_let_19 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.end_point P C) (and (tptp.incident_c P C) (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 C)) (not (tptp.part_of C2 C)) (not (tptp.incident_c P C1)) (not (tptp.incident_c P C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1)))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 ((tptp.end_point P C)))) (let ((_let_25 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (and _let_19 _let_25))) (let ((_let_27 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_17))) (let ((_let_30 (or _let_29 _let_28 _let_26))) (let ((_let_31 (forall ((Q $$unsorted)) (or (not (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and (tptp.end_point Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.end_point Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_32 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (and (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_32 _let_31))) (let ((_let_34 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (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_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((tptp.meet P C C1)))) (let ((_let_40 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_41 (not _let_34))) (let ((_let_42 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_41 _let_40))) (let ((_let_47 (forall ((C1 $$unsorted) (C2 $$unsorted) (Cpp $$unsorted) (P $$unsorted)) (or (not (tptp.part_of C2 C1)) (not (tptp.incident_c P C2)) (not (tptp.meet P C1 Cpp)) (tptp.meet P C2 Cpp))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (or))) (let ((_let_51 (not _let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_49) :args (_let_51))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_50)) _let_49 :args (_let_48 true _let_47)))) (let ((_let_53 (REFL :args (_let_46)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or _let_41 _let_33 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 2)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_34))) :args _let_50)) :args ((or _let_34 _let_46))) _let_52 :args (_let_34 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_35 false _let_36)) :args (_let_33 false _let_34 false _let_35)))) (let ((_let_55 (not _let_33))) (let ((_let_56 (_let_31))) (let ((_let_57 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_17))) (let ((_let_60 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_61 (= _let_44 _let_60))) (let ((_let_62 (forall ((C $$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_63 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_45 _let_60 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_50)) :args ((or _let_44 _let_46))) _let_52 :args (_let_44 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_63 :args (_let_61 false _let_62)) :args (_let_60 false _let_44 false _let_61)))) (let ((_let_66 (_let_60))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (tptp.end_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_69 (and _let_68 _let_25))) (let ((_let_70 (or _let_58 _let_28 _let_69))) (let ((_let_71 (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_72 (not _let_70))) (let ((_let_73 (and _let_42 _let_32 _let_71))) (let ((_let_74 (not _let_71))) (let ((_let_75 (= _let_40 _let_73))) (let ((_let_76 (not _let_73))) (let ((_let_77 (_let_74))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_77)) :args _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_71))) (REFL :args (_let_72)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_73)) :args ((or _let_43 _let_73 (not _let_32) _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_50)) :args ((or _let_42 _let_46))) _let_52 :args (_let_42 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_75)) :args ((or _let_40 _let_76 (not _let_75)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 3)) _let_52 :args ((not _let_40) true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_75 false _let_36)) :args (_let_76 true _let_40 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 1)) :args ((or _let_32 _let_55))) _let_54 :args (_let_32 false _let_33)) :args (_let_74 false _let_42 true _let_73 false _let_32)) :args (_let_72 true _let_71)))) (let ((_let_79 (REFL :args (_let_70)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_50)) :args ((or _let_57 _let_70))) _let_78 :args (_let_57 true _let_70)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_28 _let_29 _let_26 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 1)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_50)) :args ((or _let_27 _let_70))) _let_78 :args (_let_27 true _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_17 (not _let_59)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_66)) _let_65 :args (_let_59 false _let_60)) :args (_let_17 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 2)) :args ((or _let_31 _let_55))) _let_54 :args (_let_31 false _let_33)) :args (_let_30 false _let_31)) :args (_let_26 false _let_27 false _let_17 false _let_30)))) (let ((_let_82 (not _let_26))) (let ((_let_83 (not _let_16))) (let ((_let_84 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_85 (= _let_12 _let_84))) (let ((_let_86 ((tptp.part_of C1 C)))) (let ((_let_87 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87))) (let ((_let_91 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_92 (or _let_89 _let_91))) (let ((_let_93 (not _let_91))) (let ((_let_94 (or _let_93 _let_87))) (let ((_let_95 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_96 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_97 (= _let_96 _let_95))) (let ((_let_98 (not _let_96))) (let ((_let_99 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98 _let_11 _let_9 _let_7 _let_6))) (let ((_let_102 (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.part_of C2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C1)) (not (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 C2)) (tptp.part_of C1 C2) (tptp.part_of C2 C1))))) (let ((_let_103 (not _let_101))) (let ((_let_104 (and _let_57 _let_102))) (let ((_let_105 (not _let_102))) (let ((_let_106 (= _let_68 _let_104))) (let ((_let_107 (not _let_104))) (let ((_let_108 (_let_105))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_108)) :args _let_108)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_102))) (REFL :args (_let_103)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_104)) :args ((or _let_58 _let_104 _let_105))) _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_106)) :args ((or _let_68 _let_107 (not _let_106)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_69)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_70 2)) _let_78 :args ((not _let_69) true _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_25 _let_82))) _let_81 :args (_let_25 false _let_26)) :args ((not _let_68) true _let_69 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_106 false _let_21)) :args (_let_107 true _let_68 false _let_106)) :args (_let_105 false _let_57 true _let_104)) :args (_let_103 true _let_102)))) (let ((_let_110 (REFL :args (_let_101)))) (let ((_let_111 (_let_95))) (let ((_let_112 ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) true))))) (let ((_let_113 (not _let_84))) (let ((_let_114 (_let_113))) (let ((_let_115 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_116 (= _let_14 _let_115))) (let ((_let_117 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_118 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_122 (or _let_119 _let_121))) (let ((_let_123 (not _let_121))) (let ((_let_124 (or _let_123 _let_117))) (let ((_let_125 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_126 (= _let_99 _let_125))) (let ((_let_127 (_let_125))) (let ((_let_128 (not _let_115))) (let ((_let_129 (_let_128))) (let ((_let_130 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_130) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_11 _let_9 _let_7 _let_6 _let_15 _let_13 _let_83))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_101 2)) (CONG _let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_50)) :args ((or _let_10 _let_101))) _let_109 :args (_let_10 true _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_101 3)) (CONG _let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_50)) :args ((or _let_8 _let_101))) _let_109 :args (_let_8 true _let_101)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_101 4)) _let_109 :args ((not _let_7) true _let_101)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_101 5)) _let_109 :args ((not _let_6) true _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_116)) :args ((or _let_14 _let_128 (not _let_116)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_129)) :args _let_129)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_115))) (REFL :args ((not _let_120))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_117 _let_123 (not _let_124)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_66)) _let_65 :args (_let_124 false _let_60)) (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_119 _let_121 (not _let_122)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_127) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) false))))) :args _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_126)) :args ((or _let_100 _let_125 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_101 0)) (CONG _let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_99))) :args _let_50)) :args ((or _let_99 _let_101))) _let_109 :args (_let_99 true _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_64)) _let_63 :args (_let_126 false _let_62)) :args (_let_125 false _let_99 false _let_126)) :args (_let_122 false _let_125)) (CNF_OR_NEG :args (_let_120 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_120 0)) (CONG (REFL :args (_let_120)) (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_118))) :args _let_50)) :args ((or _let_118 _let_120))) :args (_let_120 false _let_124 false _let_121 false _let_122 true _let_117 false _let_118)) :args (_let_115 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_64)) _let_63 :args (_let_116 false _let_62)) :args (_let_14 false _let_115 false _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_85)) :args ((or _let_12 _let_113 (not _let_85)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_84))) (REFL :args ((not _let_90))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_87 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_66)) _let_65 :args (_let_94 false _let_60)) (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_89 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_111) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) false))))) :args _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_97)) :args ((or _let_98 _let_95 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_101 1)) (CONG _let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_96))) :args _let_50)) :args ((or _let_96 _let_101))) _let_109 :args (_let_96 true _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_64)) _let_63 :args (_let_97 false _let_62)) :args (_let_95 false _let_96 false _let_97)) :args (_let_92 false _let_95)) (CNF_OR_NEG :args (_let_90 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_90 0)) (CONG (REFL :args (_let_90)) (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_50)) :args ((or _let_88 _let_90))) :args (_let_90 false _let_94 false _let_91 false _let_92 true _let_87 false _let_88)) :args (_let_84 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_64)) _let_63 :args (_let_85 false _let_62)) :args (_let_12 false _let_84 false _let_85)) :args (_let_83 false _let_10 false _let_8 true _let_7 true _let_6 false _let_14 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_5 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_20)) :args ((or (not _let_19) _let_18 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_19 _let_82))) _let_81 :args (_let_19 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_20 false _let_21)) :args (_let_18 false _let_19 false _let_20)) :args (_let_5 false _let_18)) :args (false true _let_16 false _let_5)) :args (_let_4 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted)) (= (= C (tptp.sum C1 C2)) (forall ((Q $$unsorted)) (= (tptp.incident_c Q C) (or (tptp.incident_c Q C1) (tptp.incident_c Q C2)))))) _let_3 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.inner_point P C) (and (tptp.incident_c P C) (not (tptp.end_point P C))))) _let_2 (forall ((C $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.47/27.83  )
% 27.47/27.83  % SZS output end Proof for GEO090+1
% 27.47/27.83  % cvc5---1.0.5 exiting
% 27.47/27.83  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------