%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 22:49:17 EDT 2023

% Result   : Unsatisfiable 0.96s 1.16s
% Output   : Proof 0.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 22:21:41 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Zy8edsNqjR/cvc5---1.0.5_11040.p...
% 0.22/0.52  ------- get file name : TPTP file name is GEO030-3
% 0.22/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11040.smt2...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.96/1.16  % SZS status Unsatisfiable for GEO030-3
% 0.96/1.16  % SZS output start Proof for GEO030-3
% 0.96/1.17  (
% 0.96/1.17  (let ((_let_1 (= tptp.w tptp.w1))) (let ((_let_2 (not _let_1))) (let ((_let_3 (= tptp.u tptp.v))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.equidistant tptp.v tptp.w tptp.v tptp.w1))) (let ((_let_6 (tptp.equidistant tptp.u tptp.w tptp.u tptp.w1))) (let ((_let_7 (tptp.between tptp.u tptp.v tptp.w))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (= U V) (= W (tptp.extension U V V W)))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U U V V)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U V U V)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))))) (let ((_let_12 (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (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 ((_let_15 (tptp.equidistant tptp.w tptp.w1 tptp.w1 tptp.w1))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_1))) (let ((_let_18 (_let_13))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (not _let_17))) (let ((_let_21 (tptp.extension tptp.u tptp.v tptp.v tptp.w))) (let ((_let_22 (tptp.equidistant _let_21 tptp.w tptp.w1 tptp.w1))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.equidistant _let_21 tptp.w tptp.w tptp.w1))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_15))) (let ((_let_27 (_let_14))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (= tptp.w _let_21))) (let ((_let_30 (tptp.equidistant tptp.w tptp.w tptp.w1 tptp.w1))) (let ((_let_31 (not _let_7))) (let ((_let_32 (or _let_31 _let_3 _let_29))) (let ((_let_33 (_let_8))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (ASSUME :args (_let_7)))) (let ((_let_36 (ASSUME :args (_let_4)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_3 _let_31 _let_29 (not _let_32)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.u tptp.v tptp.w QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.between U V W) false))))) :args _let_33)) _let_34 :args (_let_32 false _let_8)) :args (_let_29 true _let_3 false _let_7 false _let_32)))) (let ((_let_38 (_let_9))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (and _let_30 _let_29))) (let ((_let_41 (_let_30 _let_29))) (let ((_let_42 (ASSUME :args (_let_30)))) (let ((_let_43 (REFL :args (tptp.w1)))) (let ((_let_44 (ASSUME :args (_let_29)))) (let ((_let_45 (SYMM _let_44))) (let ((_let_46 (tptp.between tptp.u tptp.v _let_21))) (let ((_let_47 (not _let_46))) (let ((_let_48 (not _let_5))) (let ((_let_49 (not _let_6))) (let ((_let_50 (tptp.equidistant tptp.v _let_21 tptp.v tptp.w))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.equidistant tptp.u tptp.v tptp.u tptp.v))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_49 _let_48 _let_47 _let_31 _let_3 _let_24))) (let ((_let_55 (_let_11))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (and _let_7 _let_29))) (let ((_let_58 (_let_7 _let_29))) (let ((_let_59 (_let_12))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (_let_10))) (let ((_let_62 (ASSUME :args _let_61))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.w tptp.w1 tptp.w1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant X Y Z Z) false))))) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_1 _let_16 _let_20))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_15 _let_25 _let_23 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_3 _let_31 _let_49 _let_48 _let_53 _let_51 _let_47 _let_24 (not _let_54)))) _let_36 _let_35 (ASSUME :args (_let_6)) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant U V U V) true))))) :args _let_61)) _let_62 :args (_let_52 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.v tptp.u tptp.v tptp.w QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.extension X Y W V)))) :args _let_59)) _let_60 :args (_let_50 false _let_12)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_35 _let_44) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.u)) (REFL :args (tptp.v)) _let_45 :args (APPLY_UF tptp.between)) (TRUE_INTRO _let_35))) :args _let_58)) :args _let_58)) :args (true _let_57)) _let_35 _let_37 :args (_let_46 false _let_7 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.u tptp.v tptp.u tptp.v _let_21 tptp.w tptp.w tptp.w1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equidistant Y Z Y1 Z1) false)) (not (= (tptp.equidistant X V X1 V1) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_11)) :args (_let_24 true _let_3 false _let_7 false _let_6 false _let_5 false _let_52 false _let_50 false _let_46 false _let_54)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_44) (SCOPE (TRUE_ELIM (TRANS (CONG _let_45 (REFL :args (tptp.w)) _let_43 _let_43 :args (APPLY_UF tptp.equidistant)) (TRUE_INTRO _let_42))) :args _let_41)) :args _let_41)) :args (true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.w tptp.w1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant U U V V) true))))) :args _let_38)) _let_39 :args (_let_30 false _let_9)) _let_37 :args (_let_22 false _let_30 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_21 tptp.w tptp.w tptp.w1 tptp.w1 tptp.w1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equidistant X Y Z V) false)) (not (= (tptp.equidistant X Y V2 W) false))))) :args _let_27)) _let_28 :args (_let_26 false _let_14)) :args (_let_15 false _let_24 false _let_22 false _let_26)) :args (_let_20 true _let_1 false _let_15)) _let_19 :args (false true _let_17 false _let_13)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)) _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))) _let_12 _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between V (tptp.inner_pasch U V W X Y) Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between X (tptp.inner_pasch U V W X Y) U))) (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 $$unsorted)) (or (not (tptp.equidistant X W X V)) (not (tptp.equidistant Y W Y V)) (not (tptp.equidistant Z W Z V)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y) (= W V))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U V (tptp.euclid1 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U X (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between (tptp.euclid1 U V W X Y) Y (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.between V1 (tptp.continuous U V V1 W X X1) X1))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.equidistant U W U (tptp.continuous U V V1 W X X1)))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.reflection U V) (tptp.extension U V U V))) _let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant U V X W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U X W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant U V W X)) (not (tptp.equidistant W X Y Z)) (tptp.equidistant U V Y Z))) (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (= V (tptp.extension U V W W))) (forall ((Y $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= Y (tptp.extension U V W X))) (tptp.between U V Y))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V (tptp.reflection U V))) (forall ((V $$unsorted) (U $$unsorted)) (tptp.equidistant V (tptp.reflection U V) U V)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (= V (tptp.reflection U V)))) (forall ((U $$unsorted)) (= U (tptp.reflection U U))) (forall ((V $$unsorted) (U $$unsorted)) (or (not (= V (tptp.reflection U V))) (= U V))) _let_9 (forall ((U $$unsorted) (V $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (W $$unsorted) (W1 $$unsorted)) (or (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant V W V1 W1)) (not (tptp.between U V W)) (not (tptp.between U1 V1 W1)) (tptp.equidistant U W U1 W1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U V X)) (not (tptp.equidistant V W V X)) (= U V) (= W X))) _let_8 (forall ((W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.equidistant W X Y Z)) (= (tptp.extension U V W X) (tptp.extension U V Y Z)) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (= (tptp.extension U V U V) (tptp.extension U V V U)) (= U V))) (forall ((V $$unsorted) (U $$unsorted)) (tptp.equidistant V U V (tptp.reflection (tptp.reflection U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (= U (tptp.reflection (tptp.reflection U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V V)) (forall ((U $$unsorted) (W $$unsorted) (X $$unsorted) (V $$unsorted)) (or (not (tptp.between U W X)) (not (= U X)) (tptp.between V W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (tptp.between W V U))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U U V)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V U W)) (= U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W V)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V U W)) (= U V) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W V)) (= U V) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.between U V W))) (or (not _let_1) (not (tptp.between V W X)) _let_1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W X)) (tptp.between V W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V W X)) (tptp.between U W X) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V W X)) (tptp.between U V X) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (W $$unsorted)) (or (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.between U W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W X)) (tptp.between U V X))) (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3)) (forall ((V $$unsorted) (U $$unsorted)) (not (= V (tptp.extension U V tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) (forall ((V $$unsorted) (U $$unsorted) (X $$unsorted) (W $$unsorted)) (tptp.equidistant V (tptp.extension U V tptp.lower_dimension_point_1 tptp.lower_dimension_point_2) X (tptp.extension W X tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V (tptp.extension U V tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.inner_pasch V1 (tptp.inner_pasch U X U1 V1 W) U V W))) (or (not (tptp.between U V W)) (not (tptp.between U1 V1 W)) (not (tptp.between U X U1)) (tptp.between X _let_1 W) (tptp.between V _let_1 V1)))) _let_7 _let_6 _let_5 _let_4 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.96/1.17  )
% 0.96/1.17  % SZS output end Proof for GEO030-3
% 0.96/1.17  % cvc5---1.0.5 exiting
% 0.96/1.17  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------