TSTP Solution File: GEO076-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO076-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 22:49:33 EDT 2023
% Result : Unsatisfiable 3.21s 3.41s
% Output : Proof 3.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO076-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:37:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UsmyEHGzn6/cvc5---1.0.5_20249.p...
% 0.21/0.51 ------- get file name : TPTP file name is GEO076-4
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20249.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.21/3.41 % SZS status Unsatisfiable for GEO076-4
% 3.21/3.41 % SZS output start Proof for GEO076-4
% 3.21/3.41 (
% 3.21/3.41 (let ((_let_1 (forall ((Line $$unsorted)) (or (not (tptp.line Line)) (tptp.on tptp.a_point Line))))) (let ((_let_2 (tptp.point tptp.a_point))) (let ((_let_3 (tptp.line tptp.at_least_one_line))) (let ((_let_4 (forall ((Y1 $$unsorted)) (or (tptp.point (tptp.point_not_on_line Y1)) (not (tptp.line Y1)))))) (let ((_let_5 (forall ((Y1 $$unsorted)) (or (not (tptp.on (tptp.point_not_on_line Y1) Y1)) (not (tptp.line Y1)))))) (let ((_let_6 (forall ((Y1 $$unsorted)) (or (not (= (tptp.point_1_on_line Y1) (tptp.point_2_on_line Y1))) (not (tptp.line Y1)))))) (let ((_let_7 (forall ((Y1 $$unsorted)) (or (tptp.point (tptp.point_2_on_line Y1)) (not (tptp.line Y1)))))) (let ((_let_8 (forall ((Y1 $$unsorted)) (or (tptp.point (tptp.point_1_on_line Y1)) (not (tptp.line Y1)))))) (let ((_let_9 (forall ((Y1 $$unsorted)) (or (tptp.on (tptp.point_2_on_line Y1) Y1) (not (tptp.line Y1)))))) (let ((_let_10 (forall ((Y1 $$unsorted)) (or (tptp.on (tptp.point_1_on_line Y1) Y1) (not (tptp.line Y1)))))) (let ((_let_11 (forall ((Z1 $$unsorted) (Y3 $$unsorted) (Z2 $$unsorted) (Y4 $$unsorted)) (or (not (tptp.on Z1 Y3)) (= Z1 Z2) (not (tptp.on Z2 Y3)) (= Y3 Y4) (not (tptp.on Z1 Y4)) (not (tptp.on Z2 Y4)) (not (tptp.point Z1)) (not (tptp.point Z2)) (not (tptp.line Y3)) (not (tptp.line Y4)))))) (let ((_let_12 (forall ((Z1 $$unsorted) (Z2 $$unsorted)) (or (tptp.line (tptp.line_from_to Z1 Z2)) (= Z1 Z2) (not (tptp.point Z1)) (not (tptp.point Z2)))))) (let ((_let_13 (forall ((Z2 $$unsorted) (Z1 $$unsorted)) (or (tptp.on Z2 (tptp.line_from_to Z1 Z2)) (= Z1 Z2) (not (tptp.point Z1)) (not (tptp.point Z2)))))) (let ((_let_14 (forall ((Z1 $$unsorted) (Z2 $$unsorted)) (or (tptp.on Z1 (tptp.line_from_to Z1 Z2)) (= Z1 Z2) (not (tptp.point Z1)) (not (tptp.point Z2)))))) (let ((_let_15 (tptp.point_2_on_line tptp.at_least_one_line))) (let ((_let_16 (tptp.point_not_on_line tptp.at_least_one_line))) (let ((_let_17 (tptp.line_from_to _let_16 _let_15))) (let ((_let_18 (tptp.line_from_to _let_15 _let_16))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.point_1_on_line tptp.at_least_one_line))) (let ((_let_21 (tptp.line_from_to _let_16 _let_20))) (let ((_let_22 (= _let_17 _let_21))) (let ((_let_23 (tptp.line_from_to _let_20 _let_16))) (let ((_let_24 (= _let_23 _let_21))) (let ((_let_25 (= _let_18 _let_23))) (let ((_let_26 (tptp.line _let_18))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.line _let_17))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.point _let_16))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.point _let_15))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.on _let_16 _let_18))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.on _let_15 _let_18))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.on _let_16 _let_17))) (let ((_let_39 (not _let_38))) (let ((_let_40 (= _let_15 _let_16))) (let ((_let_41 (tptp.on _let_15 _let_17))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_39 _let_19 _let_37 _let_35 _let_33 _let_31 _let_29 _let_27))) (let ((_let_44 (_let_11))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((not (= (tptp.on Z1 Y3) false)) (not (= (tptp.point Z2) false)) (not (= (tptp.line Y4) false))))) (let ((_let_47 (or _let_26 _let_40 _let_33 _let_31))) (let ((_let_48 (_let_12))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((not (= (tptp.point Z2) false)) (not (= (tptp.point Z1) false))))) (let ((_let_51 (tptp.on _let_15 tptp.at_least_one_line))) (let ((_let_52 (tptp.on _let_16 tptp.at_least_one_line))) (let ((_let_53 (not _let_40))) (let ((_let_54 (not _let_3))) (let ((_let_55 (or _let_51 _let_54))) (let ((_let_56 (_let_9))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (ASSUME :args (_let_3)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_51 (not _let_55)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.line Y1) false))))) :args _let_56)) _let_57 :args (_let_55 false _let_9)) :args (_let_51 false _let_3 false _let_55)))) (let ((_let_60 (not _let_52))) (let ((_let_61 (or _let_60 _let_54))) (let ((_let_62 (_let_5))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_54 _let_60 (not _let_61)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.line Y1) false))))) :args _let_62)) _let_63 :args (_let_61 false _let_5)) :args (_let_60 false _let_3 false _let_61)))) (let ((_let_65 (not _let_51))) (let ((_let_66 (or))) (let ((_let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_52))))) (let ((_let_68 (ASSUME :args (_let_60)))) (let ((_let_69 (FALSE_INTRO _let_68))) (let ((_let_70 (APPLY_UF tptp.on))) (let ((_let_71 (REFL :args (tptp.at_least_one_line)))) (let ((_let_72 (ASSUME :args (_let_40)))) (let ((_let_73 (ASSUME :args (_let_51)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_72 _let_73) :args (_let_51 _let_60 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_73)) (CONG (SYMM (SYMM _let_72)) _let_71 :args _let_70) _let_69)) :args (_let_60 _let_40 _let_51)) :args ((not (and _let_51 _let_60 _let_40)) SB_LITERAL))) (CONG (REFL :args (_let_65)) _let_67 (REFL :args (_let_53)) :args _let_66)) :args ((or _let_52 _let_65 _let_53))) _let_64 _let_59 :args (_let_53 true _let_52 false _let_51)))) (let ((_let_75 (or _let_30 _let_54))) (let ((_let_76 (_let_4))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_54 _let_30 (not _let_75)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.line Y1) false))))) :args _let_76)) _let_77 :args (_let_75 false _let_4)) :args (_let_30 false _let_3 false _let_75)))) (let ((_let_79 (or _let_32 _let_54))) (let ((_let_80 (_let_7))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_54 _let_32 (not _let_79)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.line Y1) false))))) :args _let_80)) _let_81 :args (_let_79 false _let_7)) :args (_let_32 false _let_3 false _let_79)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_33 _let_31 _let_40 _let_26 (not _let_47)))) _let_82 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_15 _let_16 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_47 false _let_12)) :args (_let_26 false _let_32 false _let_30 true _let_40 false _let_47)))) (let ((_let_84 (or _let_28 _let_40 _let_31 _let_33))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_33 _let_31 _let_40 _let_28 (not _let_84)))) _let_82 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48))) _let_49 :args (_let_84 false _let_12)) :args (_let_28 false _let_32 false _let_30 true _let_40 false _let_84)))) (let ((_let_86 (or _let_41 _let_40 _let_31 _let_33))) (let ((_let_87 (forall ((Z2 $$unsorted) (Z1 $$unsorted)) (or (tptp.on Z2 (tptp.line_from_to Z1 Z2)) (= Z2 Z1) (not (tptp.point Z1)) (not (tptp.point Z2)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 ((not (= (tptp.point Z1) false)) (not (= (tptp.point Z2) false))))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_33 _let_31 _let_40 _let_41 (not _let_86)))) _let_82 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_15 _let_16 QUANTIFIERS_INST_E_MATCHING _let_90)) :args _let_89)) _let_88 :args (_let_86 false _let_87)) :args (_let_41 false _let_32 false _let_30 true _let_40 false _let_86)))) (let ((_let_92 (or _let_34 _let_40 _let_33 _let_31))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_33 _let_31 _let_40 _let_34 (not _let_92)))) _let_82 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING _let_90)) :args _let_89))) _let_88 :args (_let_92 false _let_87)) :args (_let_34 false _let_32 false _let_30 true _let_40 false _let_92)))) (let ((_let_94 (or _let_38 _let_40 _let_31 _let_33))) (let ((_let_95 (_let_14))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 ((not (= (tptp.point Z1) false)) (not (= (tptp.point Z2) false))))) (let ((_let_98 (or _let_36 _let_40 _let_33 _let_31))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_33 _let_31 _let_40 _let_37 _let_39 _let_35 _let_42 _let_29 _let_27 _let_19 (not _let_43)))) _let_82 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_33 _let_31 _let_36 _let_40 (not _let_98)))) _let_82 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_15 _let_16 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_98 false _let_14)) :args (_let_36 false _let_32 false _let_30 true _let_40 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_33 _let_31 _let_40 _let_38 (not _let_94)))) _let_82 _let_78 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95))) _let_96 :args (_let_94 false _let_14)) :args (_let_38 false _let_32 false _let_30 true _let_40 false _let_94)) _let_93 _let_91 _let_85 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_15 _let_17 _let_16 _let_18 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44))) _let_45 :args (_let_43 false _let_11)) :args (_let_19 false _let_32 false _let_30 true _let_40 false _let_36 false _let_38 false _let_34 false _let_41 false _let_28 false _let_26 false _let_43)))) (let ((_let_100 (tptp.on _let_20 _let_21))) (let ((_let_101 (tptp.on _let_20 _let_17))) (let ((_let_102 (not _let_22))) (let ((_let_103 (tptp.point _let_20))) (let ((_let_104 (not _let_103))) (let ((_let_105 (= _let_20 _let_16))) (let ((_let_106 (or _let_100 _let_105 _let_31 _let_104))) (let ((_let_107 (tptp.on _let_20 tptp.at_least_one_line))) (let ((_let_108 (not _let_105))) (let ((_let_109 (or _let_107 _let_54))) (let ((_let_110 (_let_10))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_54 _let_107 (not _let_109)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.line Y1) false))))) :args _let_110)) _let_111 :args (_let_109 false _let_10)) :args (_let_107 false _let_3 false _let_109)))) (let ((_let_113 (not _let_107))) (let ((_let_114 (ASSUME :args (_let_107)))) (let ((_let_115 (ASSUME :args (_let_105)))) (let ((_let_116 (SYMM _let_69))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_114 _let_115 _let_68) :args (_let_107 _let_60 _let_105)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_116 (CONG (SYMM _let_115) _let_71 :args _let_70) (TRUE_INTRO _let_114))) :args (_let_107 _let_105 _let_60)) :args ((not (and _let_107 _let_60 _let_105)) SB_LITERAL))) (CONG (REFL :args (_let_113)) _let_67 (REFL :args (_let_108)) :args _let_66)) :args ((or _let_52 _let_113 _let_108))) _let_64 _let_112 :args (_let_108 true _let_52 false _let_107)))) (let ((_let_118 (or _let_103 _let_54))) (let ((_let_119 (_let_8))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_54 _let_103 (not _let_118)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.line Y1) false))))) :args _let_119)) _let_120 :args (_let_118 false _let_8)) :args (_let_103 false _let_3 false _let_118)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_104 _let_31 _let_105 _let_100 (not _let_106)))) _let_121 _let_78 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_20 _let_16 QUANTIFIERS_INST_E_MATCHING _let_90)) :args _let_89)) _let_88 :args (_let_106 false _let_87)) :args (_let_100 false _let_103 false _let_30 true _let_105 false _let_106)))) (let ((_let_123 (not _let_101))) (let ((_let_124 (= tptp.at_least_one_line _let_17))) (let ((_let_125 (= _let_20 _let_15))) (let ((_let_126 (or _let_65 _let_125 _let_113 _let_124 _let_42 _let_123 _let_33 _let_104 _let_54 _let_29))) (let ((_let_127 (not _let_124))) (let ((_let_128 (not _let_19))) (let ((_let_129 (REFL :args (_let_128)))) (let ((_let_130 (ASSUME :args (_let_34)))) (let ((_let_131 (ASSUME :args (_let_19)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (ASSUME :args (_let_124)))) (let ((_let_134 (not _let_125))) (let ((_let_135 (or _let_134 _let_54))) (let ((_let_136 (_let_6))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_54 _let_125 _let_113 _let_65 _let_104 _let_33 _let_42 _let_29 _let_124 _let_123 (not _let_126)))) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_54 _let_134 (not _let_135)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.line Y1) false))))) :args _let_136)) _let_137 :args (_let_135 false _let_6)) :args (_let_134 false _let_3 false _let_135)) _let_112 _let_59 _let_121 _let_82 _let_91 _let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_130 _let_131 _let_133 _let_68) :args (_let_60 _let_34 _let_124 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_116 (CONG (REFL :args (_let_16)) (TRANS (SYMM (SYMM _let_133)) _let_132) :args _let_70) (TRUE_INTRO _let_130))) :args (_let_34 _let_19 _let_124 _let_60)) :args ((not (and _let_60 _let_34 _let_124 _let_19)) SB_LITERAL))) (CONG _let_67 (REFL :args (_let_35)) (REFL :args (_let_127)) _let_129 :args _let_66)) _let_64 _let_93 _let_99 :args (_let_127 true _let_52 false _let_34 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_15 tptp.at_least_one_line _let_20 _let_17 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44))) _let_45 :args (_let_126 false _let_11)) :args (_let_123 false _let_3 true _let_125 false _let_107 false _let_51 false _let_103 false _let_32 false _let_41 false _let_28 true _let_124 false _let_126)))) (let ((_let_139 (not _let_100))) (let ((_let_140 (_let_102))) (let ((_let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_101))))) (let ((_let_142 (ASSUME :args (_let_123)))) (let ((_let_143 (FALSE_INTRO _let_142))) (let ((_let_144 (SYMM _let_132))) (let ((_let_145 (REFL :args (_let_20)))) (let ((_let_146 (ASSUME :args (_let_22)))) (let ((_let_147 (ASSUME :args (_let_100)))) (let ((_let_148 (tptp.line _let_23))) (let ((_let_149 (not _let_148))) (let ((_let_150 (tptp.line _let_21))) (let ((_let_151 (not 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:args ((or _let_54 _let_196 (not _let_203)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.at_least_one_line QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_163)) _let_164 :args (_let_203 false _let_1)) :args (_let_196 false _let_3 false _let_203)) _let_180 _let_202 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_200)) :args ((or _let_152 _let_104 _let_157 _let_194 (not _let_200)))) _let_181 _let_121 _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_20 tptp.a_point QUANTIFIERS_INST_E_MATCHING _let_90)) :args _let_89))) _let_88 :args (_let_200 false _let_87)) :args (_let_194 false _let_2 false _let_103 true _let_157 false _let_200)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_152 _let_104 _let_157 _let_191 (not _let_199)))) _let_181 _let_121 _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args 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(AND_INTRO _let_142 _let_131 _let_146 _let_147) :args (_let_100 _let_123 _let_19 _let_22)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_147)) (CONG _let_145 (TRANS (SYMM _let_146) _let_132) :args _let_70) (CONG _let_145 _let_144 :args _let_70) _let_143)) :args (_let_123 _let_19 _let_22 _let_100)) :args ((not (and _let_100 _let_123 _let_19 _let_22)) SB_LITERAL))) (CONG (REFL :args (_let_139)) _let_141 _let_129 (REFL :args _let_140) :args _let_66)) :args ((or _let_101 _let_139 _let_128 _let_102))) _let_138 _let_122 _let_99 :args (_let_102 true _let_101 false _let_100 false _let_19)) _let_99 :args (false false _let_25 false _let_24 true _let_22 false _let_19)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (tptp.on (tptp.point_on_plane Z1) Z1))) (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (tptp.point (tptp.point_on_plane Z1)))) (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.on (tptp.point_not_on_plane Z1) Z1)))) (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (tptp.point (tptp.point_not_on_plane Z1)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (tptp.on X1 (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted)) (or (tptp.on X2 (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X3 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.on X3 (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (tptp.plane (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3) (not (tptp.on X1 Z1)) (not (tptp.on X2 Z1)) (not (tptp.on X3 Z1)) (not (tptp.plane Z1)) (not (tptp.on X1 Z2)) (not (tptp.on X2 Z2)) (not (tptp.on X3 Z2)) (not (tptp.plane Z2)) (= Z1 Z2))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (X2 $$unsorted) (Z1 $$unsorted)) (or (not (tptp.on X1 Y1)) (not (tptp.on X2 Y1)) (not (tptp.on X1 Z1)) (not (tptp.on X2 Z1)) (not (tptp.plane Z1)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.line Y1)) (= X1 X2) (tptp.on Y1 Z1))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (tptp.on (tptp.common_point_on_planes Z1 Z2 X1) Z1))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (tptp.on (tptp.common_point_on_planes Z1 Z2 X1) Z2))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (tptp.point (tptp.common_point_on_planes Z1 Z2 X1)))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (not (= X1 (tptp.common_point_on_planes Z1 Z2 X1))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.on X1 (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.on X2 (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.on X3 (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.line (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (Y $$unsorted)) (or (tptp.collinear X1 X2 X3) (not (tptp.on X1 Y)) (not (tptp.on X2 Y)) (not (tptp.on X3 Y)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (not (tptp.line Y)))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.21/3.41 )
% 3.25/3.42 % SZS output end Proof for GEO076-4
% 3.25/3.43 % cvc5---1.0.5 exiting
% 3.25/3.43 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------