TSTP Solution File: GEO040-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO040-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 0.14s 0.46s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : GEO040-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.10  % Command    : do_cvc5 %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Tue Aug 29 19:47:32 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.39  %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.39  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GNMOKTFWTB/cvc5---1.0.5_30226.p...
% 0.14/0.40  ------- get file name : TPTP file name is GEO040-2
% 0.14/0.40  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30226.smt2...
% 0.14/0.40  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.46  % SZS status Unsatisfiable for GEO040-2
% 0.14/0.46  % SZS output start Proof for GEO040-2
% 0.14/0.46  (
% 0.14/0.46  (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 $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between X (tptp.inner_pasch U V W X Y) U))))) (let ((_let_6 (forall ((U $$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_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))))) (let ((_let_8 (tptp.inner_pasch tptp.v tptp.u tptp.w tptp.v tptp.u))) (let ((_let_9 (= tptp.u _let_8))) (let ((_let_10 (= tptp.v _let_8))) (let ((_let_11 (ASSUME :args (_let_2)))) (let ((_let_12 (tptp.between tptp.u _let_8 tptp.u))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_9))) (let ((_let_15 (_let_7))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 ((not (= (tptp.between X Y X) false))))) (let ((_let_18 (not _let_4))) (let ((_let_19 (not _let_3))) (let ((_let_20 (or _let_19 _let_18 _let_12))) (let ((_let_21 (_let_6))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (ASSUME :args (_let_3)))) (let ((_let_24 (ASSUME :args (_let_4)))) (let ((_let_25 (tptp.between tptp.v _let_8 tptp.v))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_10))) (let ((_let_28 (or _let_19 _let_18 _let_25))) (let ((_let_29 (_let_5))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (ASSUME :args (_let_10)))) (let ((_let_32 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_32 _let_31 _let_11) :args (_let_2 _let_9 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_11)) (TRUE_INTRO (TRANS (SYMM (SYMM _let_32)) (SYMM _let_31))))) :args (_let_9 _let_10 _let_2)) :args ((not (and _let_2 _let_9 _let_10)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_9))) (REFL :args ((not _let_10))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_10 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_18 _let_19 _let_25 (not _let_28)))) _let_24 _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :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_29)) _let_30 :args (_let_28 false _let_5)) :args (_let_25 false _let_4 false _let_3 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.v _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_15)) _let_16 :args (_let_27 false _let_7)) :args (_let_10 false _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_9 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_18 _let_19 _let_12 (not _let_20)))) _let_24 _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :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_21)) _let_22 :args (_let_20 false _let_6)) :args (_let_12 false _let_4 false _let_3 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.u _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_15)) _let_16 :args (_let_14 false _let_7)) :args (_let_9 false _let_12 false _let_14)) _let_11 :args (false false _let_10 false _let_9 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 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) _let_7 _let_6 _let_5 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (forall ((X $$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_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))
% 0.14/0.46  )
% 0.14/0.46  % SZS output end Proof for GEO040-2
% 0.14/0.47  % cvc5---1.0.5 exiting
% 0.14/0.47  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------