TSTP Solution File: GEO038-3 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : GEO038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 : Fri May 19 11:09:02 EDT 2023

% Result   : Unsatisfiable 3.30s 1.73s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   76 (  21 unt;  15 typ;   0 def)
%            Number of atoms       :  155 (  18 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  780 (  88   ~;  94   |;   0   &; 598   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   32 (  32   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-6 aty)
%            Number of variables   :  220 (   0   ^; 220   !;   0   ?; 220   :)

% Comments : 
%------------------------------------------------------------------------------
thf(between_type,type,
    between: $i > $i > $i > $o ).

thf(u_type,type,
    u: $i ).

thf(v_type,type,
    v: $i ).

thf(y_type,type,
    y: $i ).

thf(equidistant_type,type,
    equidistant: $i > $i > $i > $i > $o ).

thf(extension_type,type,
    extension: $i > $i > $i > $i > $i ).

thf(inner_pasch_type,type,
    inner_pasch: $i > $i > $i > $i > $i > $i ).

thf(continuous_type,type,
    continuous: $i > $i > $i > $i > $i > $i > $i ).

thf(lower_dimension_point_2_type,type,
    lower_dimension_point_2: $i ).

thf(lower_dimension_point_3_type,type,
    lower_dimension_point_3: $i ).

thf(lower_dimension_point_1_type,type,
    lower_dimension_point_1: $i ).

thf(euclid1_type,type,
    euclid1: $i > $i > $i > $i > $i > $i ).

thf(euclid2_type,type,
    euclid2: $i > $i > $i > $i > $i > $i ).

thf(w_type,type,
    w: $i ).

thf(x_type,type,
    x: $i ).

thf(28,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ B @ E )
      | ( A = B )
      | ( between @ A @ E @ ( euclid2 @ A @ D @ B @ E @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid2) ).

thf(88,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ B @ E )
      | ( A = B )
      | ( between @ A @ E @ ( euclid2 @ A @ D @ B @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(14,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ B @ A @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).

thf(56,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ B @ A @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(9,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ D @ C @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).

thf(46,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ D @ C @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(27,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ B @ E )
      | ( A = B )
      | ( between @ ( euclid1 @ A @ D @ B @ E @ C ) @ C @ ( euclid2 @ A @ D @ B @ E @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid3) ).

thf(85,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ B @ E )
      | ( A = B )
      | ( between @ ( euclid1 @ A @ D @ B @ E @ C ) @ C @ ( euclid2 @ A @ D @ B @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(30,axiom,
    ( y
    = ( extension @ u @ v @ w @ x ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_is_extension) ).

thf(92,plain,
    ( y
    = ( extension @ u @ v @ w @ x ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(12,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ D @ C @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_5) ).

thf(53,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ D @ C @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(24,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ A @ C )
      | ~ ( equidistant @ A @ D @ A @ E )
      | ~ ( between @ A @ B @ D )
      | ~ ( between @ B @ F @ D )
      | ( equidistant @ A @ F @ A @ ( continuous @ A @ B @ C @ F @ D @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity2) ).

thf(77,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ A @ C )
      | ~ ( equidistant @ A @ D @ A @ E )
      | ~ ( between @ A @ B @ D )
      | ~ ( between @ B @ F @ D )
      | ( equidistant @ A @ F @ A @ ( continuous @ A @ B @ C @ F @ D @ E ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(3,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ B @ A @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).

thf(35,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ B @ A @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(1,negated_conjecture,
    ~ ( between @ u @ v @ y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary) ).

thf(31,plain,
    ~ ( between @ u @ v @ y ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(22,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ E @ C )
      | ( between @ B @ ( inner_pasch @ A @ B @ C @ E @ D ) @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).

thf(72,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ E @ C )
      | ( between @ B @ ( inner_pasch @ A @ B @ C @ E @ D ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(11,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ C @ D @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_3) ).

thf(51,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ C @ D @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(25,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ B @ E )
      | ( A = B )
      | ( between @ A @ D @ ( euclid1 @ A @ D @ B @ E @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid1) ).

thf(79,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ B @ E )
      | ( A = B )
      | ( between @ A @ D @ ( euclid1 @ A @ D @ B @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(20,axiom,
    ~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).

thf(68,plain,
    ~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(7,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( A
      = ( extension @ B @ A @ C @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e1) ).

thf(42,plain,
    ! [C: $i,B: $i,A: $i] :
      ( A
      = ( extension @ B @ A @ C @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(4,axiom,
    ! [B: $i,A: $i] : ( equidistant @ A @ B @ B @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

thf(37,plain,
    ! [B: $i,A: $i] : ( equidistant @ A @ B @ B @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(17,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ A @ C )
      | ~ ( equidistant @ A @ D @ A @ E )
      | ~ ( between @ A @ B @ D )
      | ~ ( between @ B @ F @ D )
      | ( between @ C @ ( continuous @ A @ B @ C @ F @ D @ E ) @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity1) ).

thf(61,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ A @ C )
      | ~ ( equidistant @ A @ D @ A @ E )
      | ~ ( between @ A @ B @ D )
      | ~ ( between @ B @ F @ D )
      | ( between @ C @ ( continuous @ A @ B @ C @ F @ D @ E ) @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(23,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ~ ( equidistant @ B @ E @ D @ F )
      | ~ ( equidistant @ A @ G @ C @ H )
      | ~ ( equidistant @ B @ G @ D @ H )
      | ~ ( between @ A @ B @ E )
      | ~ ( between @ C @ D @ F )
      | ( A = B )
      | ( equidistant @ E @ G @ F @ H ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).

thf(74,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ~ ( equidistant @ B @ E @ D @ F )
      | ~ ( equidistant @ A @ G @ C @ H )
      | ~ ( equidistant @ B @ G @ D @ H )
      | ~ ( between @ A @ B @ E )
      | ~ ( between @ C @ D @ F )
      | ( A = B )
      | ( equidistant @ E @ G @ F @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(5,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ~ ( equidistant @ C @ D @ E @ F )
      | ( equidistant @ A @ B @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5) ).

thf(38,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ~ ( equidistant @ C @ D @ E @ F )
      | ( equidistant @ A @ B @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(21,axiom,
    ~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).

thf(70,plain,
    ~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(2,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ C @ D @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).

thf(33,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ C @ D @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(8,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ~ ( equidistant @ A @ B @ E @ F )
      | ( equidistant @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

thf(44,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ~ ( equidistant @ A @ B @ E @ F )
      | ( equidistant @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(16,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ E @ C )
      | ( between @ E @ ( inner_pasch @ A @ B @ C @ E @ D ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).

thf(59,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( between @ A @ B @ C )
      | ~ ( between @ D @ E @ C )
      | ( between @ E @ ( inner_pasch @ A @ B @ C @ E @ D ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(29,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] : ( between @ A @ B @ ( extension @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).

thf(91,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( between @ A @ B @ ( extension @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(19,axiom,
    ~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).

thf(66,plain,
    ~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(10,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ C )
      | ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).

thf(48,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ C )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(18,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( between @ A @ B @ A )
      | ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).

thf(63,plain,
    ! [B: $i,A: $i] :
      ( ~ ( between @ A @ B @ A )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(6,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ A @ B @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_1) ).

thf(40,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ C @ D )
      | ( equidistant @ A @ B @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(13,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] : ( equidistant @ A @ ( extension @ B @ A @ C @ D ) @ C @ D ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).

thf(55,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( equidistant @ A @ ( extension @ B @ A @ C @ D ) @ C @ D ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(15,axiom,
    ! [B: $i,A: $i] : ( equidistant @ A @ B @ A @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

thf(58,plain,
    ! [B: $i,A: $i] : ( equidistant @ A @ B @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(26,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ A @ C )
      | ~ ( equidistant @ D @ B @ D @ C )
      | ~ ( equidistant @ E @ B @ E @ C )
      | ( between @ A @ D @ E )
      | ( between @ D @ E @ A )
      | ( between @ E @ A @ D )
      | ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_dimension) ).

thf(82,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( equidistant @ A @ B @ A @ C )
      | ~ ( equidistant @ D @ B @ D @ C )
      | ~ ( equidistant @ E @ B @ E @ C )
      | ( between @ A @ D @ E )
      | ( between @ D @ E @ A )
      | ( between @ E @ A @ D )
      | ( B = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(94,plain,
    $false,
    inference(e,[status(thm)],[88,56,46,85,92,53,77,35,31,72,51,79,68,42,37,61,74,38,70,33,44,59,91,66,48,63,40,55,58,82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n014.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Fri May 19 04:06:43 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.96/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.23/0.96  % [INFO] 	 Parsing done (121ms). 
% 1.36/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.75/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.75/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.75/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.83/1.22  % [INFO] 	 Found a conjecture and 29 axioms. Running axiom selection ... 
% 1.99/1.26  % [INFO] 	 Axiom selection finished. Selected 29 axioms (removed 0 axioms). 
% 1.99/1.30  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.99/1.30  % [INFO] 	 Type checking passed. 
% 1.99/1.31  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 3.30/1.73  % External prover 'e' found a proof!
% 3.30/1.73  % [INFO] 	 Killing All external provers ... 
% 3.30/1.73  % Time passed: 1215ms (effective reasoning time: 761ms)
% 3.30/1.73  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.30/1.73  % Axioms used in derivation (29): continuity1, continuity2, inner_pasch2, d3, reflexivity_for_equidistance, lower_dimension2, identity_for_betweeness, outer_five_segment, upper_dimension, euclid1, d4_2, inner_pasch1, d1, euclid3, d5, lower_dimension1, d4_4, d4_5, transitivity_for_equidistance, e1, segment_construction2, d2, d4_1, lower_dimension3, segment_construction1, euclid2, identity_for_equidistance, y_is_extension, d4_3
% 3.30/1.73  % No. of inferences in proof: 61
% 3.30/1.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1215 ms resp. 761 ms w/o parsing
% 3.81/1.84  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.81/1.84  % [INFO] 	 Killing All external provers ... 
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