TSTP Solution File: GEO024-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO024-2 : 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 22:49:15 EDT 2023

% Result   : Unsatisfiable 20.47s 20.66s
% Output   : Proof 20.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : GEO024-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n005.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 19:15:37 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.URUbsc9x0l/cvc5---1.0.5_25404.p...
% 0.22/0.50  ------- get file name : TPTP file name is GEO024-2
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25404.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.33/10.57  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.41/15.60  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.43/20.63  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.47/20.66  % SZS status Unsatisfiable for GEO024-2
% 20.47/20.66  % SZS output start Proof for GEO024-2
% 20.47/20.66  (
% 20.47/20.66  (let ((_let_1 (tptp.equidistant tptp.u tptp.u tptp.v tptp.v))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)))) (let ((_let_7 (tptp.extension tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.v tptp.v))) (let ((_let_8 (tptp.equidistant tptp.lower_dimension_point_2 _let_7 tptp.v tptp.v))) (let ((_let_9 (= tptp.lower_dimension_point_2 _let_7))) (let ((_let_10 (tptp.equidistant tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.v tptp.v))) (let ((_let_11 (_let_3))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.v tptp.v QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_11)) _let_12 :args (_let_8 false _let_3)))) (let ((_let_14 (not _let_8))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (_let_4))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_10))) (let ((_let_19 (tptp.equidistant tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.u tptp.u))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_1))) (let ((_let_22 (_let_5))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.extension tptp.lower_dimension_point_2 tptp.u tptp.lower_dimension_point_2 tptp.lower_dimension_point_2))) (let ((_let_25 (tptp.equidistant tptp.u _let_24 tptp.u tptp.u))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.equidistant tptp.u _let_24 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_19))) (let ((_let_30 (= tptp.u _let_24))) (let ((_let_31 (tptp.equidistant tptp.u tptp.u tptp.u tptp.u))) (let ((_let_32 (or _let_28 _let_30))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.u tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_11)) _let_12 :args (_let_27 false _let_3)))) (let ((_let_34 (_let_6))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (and _let_31 _let_30))) (let ((_let_37 (_let_31 _let_30))) (let ((_let_38 (ASSUME :args (_let_31)))) (let ((_let_39 (APPLY_UF tptp.equidistant))) (let ((_let_40 (REFL :args (tptp.u)))) (let ((_let_41 (ASSUME :args (_let_30)))) (let ((_let_42 (ASSUME :args (_let_18)))) (let ((_let_43 (REFL :args (tptp.v)))) (let ((_let_44 (ASSUME :args (_let_9)))) (let ((_let_45 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_44 _let_45) :args (_let_8 _let_9 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_45)) (CONG (REFL :args (tptp.lower_dimension_point_2)) (SYMM _let_44) _let_43 _let_43 :args _let_39) (FALSE_INTRO _let_42))) :args (_let_18 _let_9 _let_8)) :args ((not (and _let_8 _let_9 _let_18)) SB_LITERAL))) (CONG (REFL :args (_let_14)) (REFL :args ((not _let_9))) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_10))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_1 _let_20 _let_18 (not _let_21)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_19 _let_28 _let_26 (not _let_29)))) _let_33 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_38 _let_41) (SCOPE (TRUE_ELIM (TRANS (CONG _let_40 (SYMM _let_41) _let_40 _let_40 :args _let_39) (TRUE_INTRO _let_38))) :args _let_37)) :args _let_37)) :args (true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.u tptp.u QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_34)) _let_35 :args (_let_31 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_28 _let_30 (not _let_32)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.u _let_24 tptp.lower_dimension_point_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_16)) _let_17 :args (_let_32 false _let_4)) :args (_let_30 false _let_27 false _let_32)) :args (_let_25 false _let_31 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.u _let_24 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.u tptp.u QUANTIFIERS_INST_CBQI_PROP)) :args _let_22)) _let_23 :args (_let_29 false _let_5)) :args (_let_19 false _let_27 false _let_25 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.u tptp.u tptp.v tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_21 false _let_5)) :args (_let_18 true _let_1 false _let_19 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 (not _let_15)))) _let_13 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.lower_dimension_point_2 _let_7 tptp.v QUANTIFIERS_INST_CBQI_PROP)) :args _let_16)) _let_17 :args (_let_15 false _let_4)) :args (_let_9 false _let_8 false _let_15)) _let_13 :args (false true _let_10 false _let_9 false _let_8)) :args (_let_6 _let_5 _let_4 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))) _let_3 (forall ((X $$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 $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))) (forall ((U $$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)))) _let_2))))))))))))))))))))))))))))))))))))))))))))))))
% 20.47/20.66  )
% 20.47/20.67  % SZS output end Proof for GEO024-2
% 20.47/20.67  % cvc5---1.0.5 exiting
% 20.47/20.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------