%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 27.57s 27.86s
% Output   : Proof 27.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 21:56:07 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VfB6XyyaDV/cvc5---1.0.5_3623.p...
% 0.21/0.51  ------- get file name : TPTP file name is GEO001-3
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3623.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.64  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.41/15.68  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.47/20.70  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.53/25.78  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.57/27.86  % SZS status Unsatisfiable for GEO001-3
% 27.57/27.86  % SZS output start Proof for GEO001-3
% 27.57/27.86  (
% 27.57/27.86  (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 ((U $$unsorted) (W $$unsorted) (X $$unsorted) (V $$unsorted)) (or (not (tptp.between U W X)) (not (= U X)) (tptp.between V W X))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V V)))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (= U V) (= W (tptp.extension U V V W)))))) (let ((_let_7 (forall ((U $$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))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between V (tptp.inner_pasch U V W X Y) Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))))) (let ((_let_10 (tptp.extension tptp.a tptp.b tptp.b tptp.c))) (let ((_let_11 (= tptp.c _let_10))) (let ((_let_12 (tptp.inner_pasch tptp.a tptp.b tptp.c _let_10 tptp.b))) (let ((_let_13 (tptp.between _let_10 _let_12 tptp.a))) (let ((_let_14 (= tptp.b _let_12))) (let ((_let_15 (ASSUME :args (_let_2)))) (let ((_let_16 (= tptp.a tptp.b))) (let ((_let_17 (not _let_3))) (let ((_let_18 (or _let_17 _let_16 _let_11))) (let ((_let_19 (_let_6))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (tptp.between tptp.a tptp.b tptp.a))) (let ((_let_22 (tptp.between tptp.a tptp.b tptp.b))) (let ((_let_23 (not _let_16))) (let ((_let_24 (not _let_21))) (let ((_let_25 (or _let_24 _let_1))) (let ((_let_26 (forall ((W $$unsorted) (X $$unsorted) (V $$unsorted)) (or (not (tptp.between X W X)) (tptp.between V W X))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_5))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_22))) (let ((_let_31 (or))) (let ((_let_32 (ASSUME :args (_let_24)))) (let ((_let_33 (APPLY_UF tptp.between))) (let ((_let_34 (ASSUME :args (_let_16)))) (let ((_let_35 (REFL :args (tptp.b)))) (let ((_let_36 (REFL :args (tptp.a)))) (let ((_let_37 (ASSUME :args (_let_22)))) (let ((_let_38 (ASSUME :args (_let_3)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 _let_11 (not _let_18)))) _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_32 _let_34 _let_37) :args (_let_16 _let_24 _let_22)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_37)) (CONG _let_36 _let_35 (SYMM _let_34) :args _let_33) (FALSE_INTRO _let_32))) :args (_let_24 _let_16 _let_22)) :args ((not (and _let_16 _let_24 _let_22)) SB_LITERAL))) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args (_let_30)) :args _let_31)) :args ((or _let_21 _let_23 _let_30))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.a tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) _let_29 :args (_let_22 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_1 _let_24 (not _let_25)))) _let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.b tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.between V W X) true))))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_24 true _let_1 false _let_25)) :args (_let_23 false _let_22 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.between U V W) false))))) :args _let_19)) _let_20 :args (_let_18 false _let_6)) :args (_let_11 false _let_3 true _let_16 false _let_18)))) (let ((_let_40 (tptp.between tptp.b _let_10 tptp.c))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_17 _let_41 _let_13))) (let ((_let_43 (_let_7))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.between tptp.b _let_10 _let_10))) (let ((_let_46 (and _let_11 _let_45))) (let ((_let_47 (ASSUME :args (_let_45)))) (let ((_let_48 (ASSUME :args (_let_11)))) (let ((_let_49 (SYMM _let_48))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_48) (SCOPE (TRUE_ELIM (TRANS (CONG _let_35 (REFL :args (_let_10)) (SYMM _let_49) :args _let_33) (TRUE_INTRO _let_47))) :args (_let_45 _let_11))) :args (_let_11 _let_45))) :args (true _let_46)) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.b _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) _let_29 :args (_let_45 false _let_5)) :args (_let_40 false _let_11 false _let_45)))) (let ((_let_51 (tptp.between tptp.b _let_12 tptp.b))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_14))) (let ((_let_54 (_let_9))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (or _let_17 _let_41 _let_51))) (let ((_let_57 (_let_8))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (ASSUME :args (_let_14)))) (let ((_let_60 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_15 _let_48 _let_59 _let_60) :args (_let_2 _let_11 _let_13 _let_14)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_60)) (CONG _let_49 (SYMM _let_59) _let_36 :args _let_33) (FALSE_INTRO _let_15))) :args (_let_2 _let_11 _let_14 _let_13)) :args ((not (and _let_2 _let_11 _let_13 _let_14)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_11))) (REFL :args ((not _let_13))) (REFL :args ((not _let_14))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_14 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_17 _let_41 _let_51 (not _let_56)))) _let_38 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a tptp.b tptp.c tptp.b _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U V W) false)) (not (= (tptp.between Y X W) false))))) :args _let_57)) _let_58 :args (_let_56 false _let_8)) :args (_let_51 false _let_3 false _let_40 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.b _let_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_55 :args (_let_53 false _let_9)) :args (_let_14 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_17 _let_41 _let_13 (not _let_42)))) _let_38 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.a tptp.b tptp.c tptp.b _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U V W) false)) (not (= (tptp.between Y X W) false))))) :args _let_43)) _let_44 :args (_let_42 false _let_7)) :args (_let_13 false _let_3 false _let_40 false _let_42)) _let_39 _let_15 :args (false false _let_14 false _let_13 false _let_11 true _let_1)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)) (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))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))) (forall ((X $$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 $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) _let_9 _let_8 _let_7 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (forall ((X $$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 $$unsorted)) (= (tptp.reflection U V) (tptp.extension U V U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U V U V)) (forall ((U $$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))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U U V V)) (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_6 (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))) _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.57/27.86  )
% 27.57/27.87  % SZS output end Proof for GEO001-3
% 27.66/27.87  % cvc5---1.0.5 exiting
% 27.66/27.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------