%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO001-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 22:49:05 EDT 2023

% Result   : Unsatisfiable 0.44s 0.70s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GEO001-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n022.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 23:03:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ybPKDnV3nw/cvc5---1.0.5_8108.p...
% 0.19/0.50  ------- get file name : TPTP file name is GEO001-1
% 0.19/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8108.smt2...
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.70  % SZS status Unsatisfiable for GEO001-1
% 0.44/0.70  % SZS output start Proof for GEO001-1
% 0.44/0.71  (
% 0.44/0.71  (let ((_let_1 (tptp.between tptp.c tptp.b tptp.a))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.between tptp.a tptp.b tptp.c))) (let ((_let_4 (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X W V)) (not (tptp.between Y V Z)) (tptp.between Z W (tptp.outer_pasch W X Y Z V)))))) (let ((_let_5 (forall ((X $$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_6 (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))))) (let ((_let_7 (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))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))))) (let ((_let_9 (= tptp.a tptp.b))) (let ((_let_10 (tptp.outer_pasch tptp.a tptp.a tptp.a tptp.c tptp.a))) (let ((_let_11 (tptp.between tptp.c tptp.a _let_10))) (let ((_let_12 (tptp.outer_pasch tptp.a tptp.a tptp.a tptp.c tptp.b))) (let ((_let_13 (= tptp.a _let_12))) (let ((_let_14 (ASSUME :args (_let_2)))) (let ((_let_15 (tptp.between tptp.a tptp.c tptp.c))) (let ((_let_16 (not _let_3))) (let ((_let_17 (or _let_16 _let_16 _let_9 _let_15 _let_15))) (let ((_let_18 (_let_6))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (tptp.outer_pasch tptp.b tptp.a tptp.a tptp.c tptp.c))) (let ((_let_21 (tptp.between tptp.a _let_20 tptp.a))) (let ((_let_22 (not _let_15))) (let ((_let_23 (or _let_16 _let_22 _let_21))) (let ((_let_24 (tptp.between tptp.c tptp.b _let_20))) (let ((_let_25 (or _let_16 _let_22 _let_24))) (let ((_let_26 (= tptp.a _let_20))) (let ((_let_27 (not _let_21))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (ASSUME :args (_let_3)))) (let ((_let_30 (_let_5))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((not (= (tptp.between Y V Z) false)) (not (= (tptp.between X W V) false))))) (let ((_let_33 (_let_4))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((not (= (tptp.between X W V) false)) (not (= (tptp.between Y V Z) false))))) (let ((_let_36 (_let_8))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((not (= (tptp.between X Y X) false))))) (let ((_let_39 (or))) (let ((_let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))))) (let ((_let_41 (FALSE_INTRO _let_14))) (let ((_let_42 (APPLY_UF tptp.between))) (let ((_let_43 (ASSUME :args (_let_26)))) (let ((_let_44 (REFL :args (tptp.c)))) (let ((_let_45 (ASSUME :args (_let_24)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_17))) :args ((or _let_16 _let_9 _let_15 (not _let_17)))) _let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_14 _let_43 _let_45) :args (_let_2 _let_24 _let_26)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_45)) (CONG _let_44 (REFL :args (tptp.b)) (SYMM _let_43) :args _let_42) _let_41)) :args (_let_2 _let_26 _let_24)) :args ((not (and _let_2 _let_24 _let_26)) SB_LITERAL))) (CONG _let_40 (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) :args _let_39)) _let_14 (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_28 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_16 _let_22 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.b tptp.c tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_25 false _let_4)) _let_29 (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_16 _let_22 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.a tptp.b tptp.c tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30)) _let_31 :args (_let_23 false _let_5)) _let_29 :args (_let_22 true _let_1 false _let_26 false _let_28 false _let_24 false _let_25 false _let_3 false _let_21 false _let_23 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a tptp.b tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between X Y Z) false)) (not (= (tptp.between X Y V) false))))) :args _let_18)) _let_19 :args (_let_17 false _let_6)) :args (_let_9 false _let_3 true _let_15 false _let_17)))) (let ((_let_47 (tptp.between tptp.a tptp.a tptp.c))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.between tptp.a tptp.a tptp.a))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_11))) (let ((_let_52 (and _let_3 _let_9))) (let ((_let_53 (_let_3 _let_9))) (let ((_let_54 (ASSUME :args (_let_9)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (REFL :args (tptp.a)))) (let ((_let_58 (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_29 _let_54) (SCOPE (TRUE_ELIM (TRANS (CONG _let_57 _let_56 _let_44 :args _let_42) (TRUE_INTRO _let_29))) :args _let_53)) :args _let_53)) :args (true _let_52)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST _let_58 _let_29 _let_46 :args (_let_47 false _let_3 false _let_9)))) (let ((_let_60 (or _let_48 _let_48 _let_49))) (let ((_let_61 (_let_7))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a tptp.a tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between X Y Z) true)) (not (= (tptp.between Y Z V) false))))) :args _let_61)) _let_62 :args (_let_60 false _let_7)))) (let ((_let_64 (REORDERING (FACTORING (CNF_OR_POS :args (_let_60))) :args ((or _let_49 _let_48 (not _let_60)))))) (let ((_let_65 (tptp.between tptp.a _let_12 tptp.a))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_13))) (let ((_let_68 (tptp.between tptp.a tptp.a tptp.b))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_16 _let_65))) (let ((_let_71 (not _let_9))) (let ((_let_72 (REFL :args (_let_71)))) (let ((_let_73 (and _let_9 _let_69))) (let ((_let_74 (ASSUME :args (_let_69)))) (let ((_let_75 (ASSUME :args (_let_13)))) (let ((_let_76 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_14 _let_54 _let_75 _let_76) :args (_let_2 _let_9 _let_11 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_76)) (CONG _let_44 _let_56 (REFL :args (_let_10)) :args _let_42) (CONG _let_44 _let_55 (CONG _let_57 _let_57 _let_57 _let_44 _let_56 :args (APPLY_UF tptp.outer_pasch)) :args _let_42) (CONG _let_44 _let_56 (SYMM _let_75) :args _let_42) _let_41)) :args (_let_2 _let_9 _let_13 _let_11)) :args ((not (and _let_2 _let_9 _let_11 _let_13)) SB_LITERAL))) (CONG _let_40 _let_72 (REFL :args ((not _let_11))) (REFL :args ((not _let_13))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_13 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_16 _let_69 _let_65 (not _let_70)))) _let_29 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_64 _let_63 _let_58 _let_29 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_54) (SCOPE (FALSE_ELIM (TRANS (CONG _let_57 _let_57 _let_56 :args _let_42) (FALSE_INTRO _let_74))) :args (_let_69 _let_9))) :args (_let_9 _let_69))) :args (true _let_73)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) (REFL :args (_let_50)) :args _let_39)) :args ((or _let_71 _let_50 _let_68))) :args ((or _let_71 _let_68) false _let_60 false _let_47 false _let_3 true _let_49)) _let_46 :args (_let_68 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.a tptp.a tptp.b tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30)) _let_31 :args (_let_70 false _let_5)) :args (_let_65 false _let_3 false _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_67 false _let_8)) :args (_let_13 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_48 _let_11 (not _let_51)))) (MACRO_RESOLUTION_TRUST _let_64 _let_59 _let_63 :args (_let_49 false _let_47 false _let_60)) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.a tptp.a tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_51 false _let_4)) :args (_let_11 false _let_49 false _let_47 false _let_51)) _let_46 _let_14 :args (false false _let_13 false _let_11 false _let_9 true _let_1)) :args (_let_8 _let_7 _let_6 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))) _let_5 _let_4 (forall ((X $$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))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))) (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)) (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (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_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.44/0.71  )
% 0.44/0.71  % SZS output end Proof for GEO001-1
% 0.44/0.71  % cvc5---1.0.5 exiting
% 0.44/0.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------