%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO011-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 22:49:10 EDT 2023

% Result   : Unsatisfiable 11.63s 11.86s
% Output   : Proof 11.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO011-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 29 20:44:34 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eV9WsK7LWa/cvc5---1.0.5_13964.p...
% 0.20/0.48  ------- get file name : TPTP file name is GEO011-1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13964.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.34/10.54  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.63/11.86  % SZS status Unsatisfiable for GEO011-1
% 11.63/11.86  % SZS output start Proof for GEO011-1
% 11.63/11.86  (
% 11.63/11.86  (let ((_let_1 (tptp.colinear tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.colinear X Y Z)) (tptp.between X Y Z) (tptp.between Y X Z) (tptp.between X Z Y))))) (let ((_let_3 (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))))) (let ((_let_11 (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X W V)) (not (tptp.between Y V Z)) (tptp.between Z W (tptp.outer_pasch W X Y Z V)))))) (let ((_let_12 (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X W V)) (not (tptp.between Y V Z)) (tptp.between X (tptp.outer_pasch W X Y Z V) Y))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))))) (let ((_let_15 (tptp.outer_pasch tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2))) (let ((_let_16 (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 _let_15))) (let ((_let_17 (= tptp.lower_dimension_point_1 _let_15))) (let ((_let_18 (ASSUME :args (_let_6)))) (let ((_let_19 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_16))) (let ((_let_24 (_let_11))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 QUANTIFIERS_INST_ENUM))) (let ((_let_27 (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) (let ((_let_28 (not _let_1))) (let ((_let_29 (or _let_28 _let_7 _let_27 _let_21))) (let ((_let_30 (_let_2))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_33 (tptp.outer_pasch tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) (let ((_let_34 (tptp.between tptp.lower_dimension_point_2 _let_33 tptp.lower_dimension_point_2))) (let ((_let_35 (not _let_27))) (let ((_let_36 (not _let_32))) (let ((_let_37 (or _let_36 _let_35 _let_34))) (let ((_let_38 (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 _let_33))) (let ((_let_39 (or _let_36 _let_35 _let_38))) (let ((_let_40 (= tptp.lower_dimension_point_2 _let_33))) (let ((_let_41 (not _let_34))) (let ((_let_42 (or _let_41 _let_40))) (let ((_let_43 (tptp.extension tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_44 (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 _let_43))) (let ((_let_45 (= tptp.lower_dimension_point_1 _let_43))) (let ((_let_46 (_let_10))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.equidistant tptp.lower_dimension_point_1 _let_43 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_45))) (let ((_let_51 (_let_13))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (_let_9))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_ENUM))) (let ((_let_56 (and _let_45 _let_44))) (let ((_let_57 (ASSUME :args (_let_44)))) (let ((_let_58 (APPLY_UF tptp.between))) (let ((_let_59 (ASSUME :args (_let_45)))) (let ((_let_60 (REFL :args (tptp.lower_dimension_point_1)))) (let ((_let_61 (REFL :args (tptp.lower_dimension_point_2)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_59) (SCOPE (TRUE_ELIM (TRANS (CONG _let_61 _let_60 (SYMM (SYMM _let_59)) :args _let_58) (TRUE_INTRO _let_57))) :args (_let_44 _let_45))) :args (_let_45 _let_44))) :args (true _let_56)) :args ((or _let_32 (not _let_45) (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_45 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_55) :args _let_53)) _let_54 :args (_let_48 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.lower_dimension_point_1 _let_43 tptp.lower_dimension_point_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_52 :args (_let_50 false _let_13)) :args (_let_45 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_44 false _let_10)) :args (_let_32 false _let_45 false _let_44)))) (let ((_let_63 (_let_12))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 QUANTIFIERS_INST_ENUM))) (let ((_let_66 (_let_14))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (ASSUME :args (_let_4)))) (let ((_let_69 (or))) (let ((_let_70 (ASSUME :args (_let_40)))) (let ((_let_71 (REFL :args (tptp.lower_dimension_point_3)))) (let ((_let_72 (ASSUME :args (_let_38)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_7 _let_28 _let_21 _let_27 (not _let_29)))) (ASSUME :args (_let_8)) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_70 _let_72) :args (_let_4 _let_38 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_72)) (CONG _let_71 _let_60 (SYMM _let_70) :args _let_58) (FALSE_INTRO _let_68))) :args (_let_4 _let_40 _let_38)) :args ((not (and _let_4 _let_38 _let_40)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_38))) (REFL :args ((not _let_40))) :args _let_69)) _let_68 (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.lower_dimension_point_2 _let_33 QUANTIFIERS_INST_CBQI_PROP)) :args _let_66)) _let_67 :args (_let_42 false _let_14)) (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_36 _let_35 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_65) :args _let_24)) _let_25 :args (_let_39 false _let_11)) _let_62 (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 _let_34 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args _let_65) :args _let_63)) _let_64 :args (_let_37 false _let_12)) _let_62 :args (_let_35 true _let_3 false _let_40 false _let_42 false _let_38 false _let_39 false _let_32 false _let_34 false _let_37 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_29 false _let_2)) :args (_let_21 true _let_7 false _let_1 true _let_27 false _let_29)))) (let ((_let_74 (tptp.extension tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_75 (= tptp.lower_dimension_point_2 _let_74))) (let ((_let_76 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 _let_74))) (let ((_let_77 (tptp.equidistant tptp.lower_dimension_point_2 _let_74 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_75))) (let ((_let_80 (and _let_76 _let_75))) (let ((_let_81 (_let_76 _let_75))) (let ((_let_82 (ASSUME :args (_let_76)))) (let ((_let_83 (ASSUME :args (_let_75)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_83) (SCOPE (TRUE_ELIM (TRANS (CONG _let_60 _let_61 (SYMM (SYMM _let_83)) :args _let_58) (TRUE_INTRO _let_82))) :args _let_81)) :args _let_81)) :args (true _let_80)) :args ((or _let_19 (not _let_76) (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_55) :args _let_46)) _let_47 :args (_let_76 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_75 (not _let_79)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_ENUM)) :args _let_53)) _let_54 :args (_let_77 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.lower_dimension_point_2 _let_74 tptp.lower_dimension_point_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_52 :args (_let_79 false _let_13)) :args (_let_75 false _let_77 false _let_79)) :args (_let_19 false _let_76 false _let_75)))) (let ((_let_85 (tptp.between tptp.lower_dimension_point_1 _let_15 tptp.lower_dimension_point_1))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_17))) (let ((_let_88 (or _let_22 _let_20 _let_85))) (let ((_let_89 (ASSUME :args (_let_17)))) (let ((_let_90 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_18 _let_89 _let_90) :args (_let_6 _let_16 _let_17)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_90)) (CONG _let_61 _let_71 (SYMM _let_89) :args _let_58) (FALSE_INTRO _let_18))) :args (_let_6 _let_17 _let_16)) :args ((not (and _let_6 _let_16 _let_17)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) :args _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_17 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_20 _let_22 _let_85 (not _let_88)))) _let_84 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args _let_26) :args _let_63)) _let_64 :args (_let_88 false _let_12)) :args (_let_85 false _let_19 false _let_21 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.lower_dimension_point_1 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_66)) _let_67 :args (_let_87 false _let_14)) :args (_let_17 false _let_85 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 _let_16 (not _let_23)))) _let_84 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_26) :args _let_24)) _let_25 :args (_let_23 false _let_11)) :args (_let_16 false _let_19 false _let_21 false _let_23)) _let_18 :args (false false _let_17 false _let_16 true _let_5)) :args (_let_14 (forall ((X $$unsorted) (Y $$unsorted) (V $$unsorted) (Z $$unsorted)) (or (not (tptp.between X Y V)) (not (tptp.between Y Z V)) (tptp.between X Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted)) (or (not (tptp.between X Y Z)) (not (tptp.between X Y V)) (= X Y) (tptp.between X Z V) (tptp.between X V Z))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)) _let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))) _let_12 _let_11 (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X V W)) (not (tptp.between Y V Z)) (= X V) (tptp.between X Z (tptp.euclid1 W X Y Z V)))) (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X V W)) (not (tptp.between Y V Z)) (= X V) (tptp.between X Y (tptp.euclid2 W X Y Z V)))) (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X V W)) (not (tptp.between Y V Z)) (= X V) (tptp.between (tptp.euclid1 W X Y Z V) W (tptp.euclid2 W X Y Z V)))) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) _let_10 _let_9 _let_8 _let_6 _let_4 (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X W X V)) (not (tptp.equidistant Y W Y V)) (not (tptp.equidistant Z W Z V)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y) (= W V))) (forall ((V $$unsorted) (X $$unsorted) (X1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (Y $$unsorted)) (or (not (tptp.equidistant V X V X1)) (not (tptp.equidistant V Z V Z1)) (not (tptp.between V X Z)) (not (tptp.between X Y Z)) (tptp.equidistant V Y V (tptp.continuous X Y Z X1 Z1 V)))) (forall ((V $$unsorted) (X $$unsorted) (X1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (Y $$unsorted)) (or (not (tptp.equidistant V X V X1)) (not (tptp.equidistant V Z V Z1)) (not (tptp.between V X Z)) (not (tptp.between X Y Z)) (tptp.between X1 (tptp.continuous X Y Z X1 Z1 V) Z1))) _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X Y Z)) (tptp.colinear X Y Z))) (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.between Y X Z)) (tptp.colinear X Y Z))) (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Z Y)) (tptp.colinear X Y Z))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.63/11.86  )
% 11.70/11.86  % SZS output end Proof for GEO011-1
% 11.70/11.86  % cvc5---1.0.5 exiting
% 11.70/11.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------