TSTP Solution File: GEO040-3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 22:49:22 EDT 2023
% Result : Unsatisfiable 0.65s 0.83s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n004.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 23:44:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mJ0k1KgdSf/cvc5---1.0.5_19350.p...
% 0.21/0.51 ------- get file name : TPTP file name is GEO040-3
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19350.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.65/0.83 % SZS status Unsatisfiable for GEO040-3
% 0.65/0.83 % SZS output start Proof for GEO040-3
% 0.65/0.83 (
% 0.65/0.83 (let ((_let_1 (= tptp.u tptp.v))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.between tptp.v tptp.u tptp.w))) (let ((_let_4 (tptp.between tptp.u tptp.v tptp.w))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (tptp.between W V U))))) (let ((_let_6 (forall ((U $$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.u (tptp.extension tptp.w tptp.v tptp.v tptp.u)))) (let ((_let_11 (tptp.inner_pasch tptp.v tptp.u tptp.w tptp.v tptp.u))) (let ((_let_12 (= tptp.u _let_11))) (let ((_let_13 (= tptp.v _let_11))) (let ((_let_14 (ASSUME :args (_let_2)))) (let ((_let_15 (= tptp.v tptp.w))) (let ((_let_16 (tptp.between tptp.w tptp.v tptp.u))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_10))) (let ((_let_19 (_let_6))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (= tptp.u tptp.w))) (let ((_let_22 (tptp.between tptp.w tptp.u tptp.v))) (let ((_let_23 (tptp.between tptp.w tptp.u tptp.w))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_21))) (let ((_let_26 (not _let_15))) (let ((_let_27 (not _let_21))) (let ((_let_28 (or))) (let ((_let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))))) (let ((_let_30 (and _let_2 _let_15))) (let ((_let_31 (_let_2 _let_15))) (let ((_let_32 (FALSE_INTRO _let_14))) (let ((_let_33 (ASSUME :args (_let_15)))) (let ((_let_34 (SYMM _let_33))) (let ((_let_35 (REFL :args (tptp.u)))) (let ((_let_36 (not _let_3))) (let ((_let_37 (or _let_36 _let_22))) (let ((_let_38 (_let_5))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((not (= (tptp.between U V W) false))))) (let ((_let_41 (ASSUME :args (_let_3)))) (let ((_let_42 (and _let_22 _let_15))) (let ((_let_43 (_let_22 _let_15))) (let ((_let_44 (ASSUME :args (_let_22)))) (let ((_let_45 (_let_9))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.between X Y X) false))))) (let ((_let_48 (not _let_4))) (let ((_let_49 (or _let_48 _let_16))) (let ((_let_50 (ASSUME :args (_let_4)))) (let ((_let_51 (tptp.between tptp.u _let_11 tptp.u))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_12))) (let ((_let_54 (or _let_36 _let_48 _let_51))) (let ((_let_55 (_let_8))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.between tptp.v _let_11 tptp.v))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_13))) (let ((_let_60 (or _let_36 _let_48 _let_57))) (let ((_let_61 (_let_7))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (ASSUME :args (_let_10)))) (let ((_let_64 (SYMM (SYMM _let_63)))) (let ((_let_65 (ASSUME :args (_let_12)))) (let ((_let_66 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_65 _let_66 _let_14) :args (_let_2 _let_10 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_32) (TRUE_INTRO (TRANS _let_64 (SYMM (TRANS (SYMM (SYMM _let_66)) (SYMM _let_65) _let_64)))))) :args (_let_10 _let_12 _let_13 _let_2)) :args ((not (and _let_2 _let_10 _let_12 _let_13)) SB_LITERAL))) (CONG _let_29 (REFL :args ((not _let_10))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_13 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_48 _let_36 _let_57 (not _let_60)))) _let_50 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.v tptp.u tptp.w tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U V W) false)) (not (= (tptp.between Y X W) false))))) :args _let_61)) _let_62 :args (_let_60 false _let_7)) :args (_let_57 false _let_4 false _let_3 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.v _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_59 false _let_9)) :args (_let_13 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_12 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_48 _let_36 _let_51 (not _let_54)))) _let_50 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.v tptp.u tptp.w tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between Y X W) false)) (not (= (tptp.between U V W) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_8)) :args (_let_51 false _let_4 false _let_3 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.u _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_53 false _let_9)) :args (_let_12 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_10 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_16 (not _let_49)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.u tptp.v tptp.w QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_49 false _let_5)) :args (_let_16 false _let_4 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_21 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.w tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45))) _let_46 :args (_let_25 false _let_9)) (RESOLUTION (CNF_AND_NEG :args (_let_42)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_44 _let_33) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.w)) _let_35 _let_34 :args (APPLY_UF tptp.between)) (TRUE_INTRO _let_44))) :args _let_43)) :args _let_43)) :args (true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_22 (not _let_37)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v tptp.u tptp.w QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_5)) :args (_let_22 false _let_3 false _let_37)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_30)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_14 _let_33) (SCOPE (FALSE_ELIM (TRANS (CONG _let_35 _let_34 :args (=)) _let_32)) :args _let_31)) :args _let_31)) :args (true _let_30)) (CONG _let_29 (REFL :args (_let_26)) (REFL :args (_let_27)) :args _let_28)) :args ((or _let_1 _let_27 _let_26))) _let_14 :args (_let_26 false _let_25 false _let_23 false _let_22 true _let_21 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.w tptp.v tptp.u 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_10 false _let_16 true _let_15 false _let_18)) _let_14 :args (false false _let_13 false _let_12 false _let_10 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))) (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))) _let_5 (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U U V)) _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.65/0.83 )
% 0.65/0.84 % SZS output end Proof for GEO040-3
% 0.65/0.84 % cvc5---1.0.5 exiting
% 0.65/0.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------