%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO026-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:12:05 AM UTC 2026
% Result : Unsatisfiable 12.54s 9.45s
% Output : Refutation 11.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 42
% Syntax : Number of formulae : 145 ( 62 unt; 0 typ; 0 def)
% Number of atoms : 349 ( 114 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1360 ( 208 ~; 168 |; 0 &; 984 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 9 con; 0-6 aty)
% Number of variables : 336 ( 0 ^; 336 !; 0 ?; 336 :)
% Comments :
%------------------------------------------------------------------------------
thf(w_decl,type,
w: $i ).
thf(x_decl,type,
x: $i ).
thf(extension_decl,type,
extension: $i > $i > $i > $i > $i ).
thf(reflection_decl,type,
reflection: $i > $i > $i ).
thf(equidistant_decl,type,
equidistant: $i > $i > $i > $i > $o ).
thf(between_decl,type,
between: $i > $i > $i > $o ).
thf(continuous_decl,type,
continuous: $i > $i > $i > $i > $i > $i > $i ).
thf(euclid1_decl,type,
euclid1: $i > $i > $i > $i > $i > $i ).
thf(u_decl,type,
u: $i ).
thf(v_decl,type,
v: $i ).
thf(euclid2_decl,type,
euclid2: $i > $i > $i > $i > $i > $i ).
thf(inner_pasch_decl,type,
inner_pasch: $i > $i > $i > $i > $i > $i ).
thf(lower_dimension_point_2_decl,type,
lower_dimension_point_2: $i ).
thf(lower_dimension_point_3_decl,type,
lower_dimension_point_3: $i ).
thf(lower_dimension_point_1_decl,type,
lower_dimension_point_1: $i ).
thf(41,axiom,
w @ ( v @ ( u @ between ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
thf(129,plain,
w @ ( v @ ( u @ between ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(27,axiom,
~ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
thf(104,plain,
~ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(105,plain,
~ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) ),
inference(polarity_switch,[status(thm)],[104]) ).
thf(172,plain,
( ( ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) )
!= ( w @ ( v @ ( u @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,105]) ).
thf(173,plain,
( ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) )
!= ( w @ ( v @ ( u @ between ) ) ) ),
inference(simp,[status(thm)],[172]) ).
thf(174,plain,
( ( lower_dimension_point_2 != w )
| ( lower_dimension_point_1 != v )
| ( lower_dimension_point_3 != u ) ),
inference(simp,[status(thm)],[173]) ).
thf(26,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( B @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5) ).
thf(102,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( B @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B
= ( B @ ( A @ reflection ) ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3_1) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( B
= ( B @ ( A @ reflection ) ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(40,axiom,
x @ ( v @ ( u @ between ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
thf(128,plain,
x @ ( v @ ( u @ between ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(22,axiom,
~ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
thf(93,plain,
~ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(94,plain,
~ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) ),
inference(polarity_switch,[status(thm)],[93]) ).
thf(153,plain,
( ( ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) )
!= ( x @ ( v @ ( u @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[128,94]) ).
thf(154,plain,
( ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) )
!= ( x @ ( v @ ( u @ between ) ) ) ),
inference(simp,[status(thm)],[153]) ).
thf(158,plain,
( ( lower_dimension_point_3 != x )
| ( lower_dimension_point_2 != v )
| ( lower_dimension_point_1 != u ) ),
inference(simp,[status(thm)],[154]) ).
thf(4,axiom,
! [A: $i] :
( A
= ( A @ ( A @ reflection ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3_2) ).
thf(51,plain,
! [A: $i] :
( A
= ( A @ ( A @ reflection ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( A @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( A @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(25,axiom,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ equidistant ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
thf(101,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ equidistant ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( A @ ( B @ ( A @ between ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
thf(88,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( A @ ( B @ ( A @ between ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(32,axiom,
! [B: $i,A: $i] : ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_1) ).
thf(115,plain,
! [B: $i,A: $i] : ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_3) ).
thf(120,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(52,plain,
! [A: $i] :
( ( A @ ( A @ reflection ) )
= A ),
inference(lifteq,[status(thm)],[51]) ).
thf(38,axiom,
! [B: $i,A: $i] : ( B @ ( A @ ( B @ ( A @ equidistant ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
thf(125,plain,
! [B: $i,A: $i] : ( B @ ( A @ ( B @ ( A @ equidistant ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(155,plain,
( ( ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) )
!= ( x @ ( v @ ( u @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[128,105]) ).
thf(156,plain,
( ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) )
!= ( x @ ( v @ ( u @ between ) ) ) ),
inference(simp,[status(thm)],[155]) ).
thf(157,plain,
( ( lower_dimension_point_2 != x )
| ( lower_dimension_point_1 != v )
| ( lower_dimension_point_3 != u ) ),
inference(simp,[status(thm)],[156]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( A
= ( C @ ( C @ ( A @ ( B @ extension ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e1) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( A
= ( C @ ( C @ ( A @ ( B @ extension ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ reflection ) )
= ( B @ ( A @ ( B @ ( A @ extension ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflection) ).
thf(57,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ reflection ) )
= ( B @ ( A @ ( B @ ( A @ extension ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
thf(76,plain,
u != v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(77,plain,
u != v,
inference(polarity_switch,[status(thm)],[76]) ).
thf(78,plain,
v != u,
inference(lifteq,[status(thm)],[77]) ).
thf(215,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ reflection ) )
!= ( C @ ( B @ reflection ) ) )
| ( A @ ( C @ ( B @ between ) ) ) ),
inference(paramod_ordered,[status(thm)],[52,115]) ).
thf(216,plain,
! [A: $i] : ( A @ ( A @ ( A @ between ) ) ),
inference(pattern_uni,[status(thm)],[215:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(28,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( E @ ( C @ ( B @ ( A @ inner_pasch ) ) ) ) @ ( B @ between ) ) )
| ~ ( C @ ( E @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
thf(106,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( E @ ( C @ ( B @ ( A @ inner_pasch ) ) ) ) @ ( B @ between ) ) )
| ~ ( C @ ( E @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(217,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) )
!= ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[115,105]) ).
thf(218,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) )
!= ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ between ) ) ) ),
inference(simp,[status(thm)],[217]) ).
thf(226,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ reflection ) )
!= lower_dimension_point_2 )
| ( B != lower_dimension_point_1 )
| ( A != lower_dimension_point_3 ) ),
inference(simp,[status(thm)],[218]) ).
thf(230,plain,
( ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ reflection ) )
!= lower_dimension_point_2 ),
inference(simp,[status(thm)],[226]) ).
thf(236,plain,
! [A: $i] :
( ( ( A @ ( A @ reflection ) )
!= ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ reflection ) ) )
| ( A != lower_dimension_point_2 ) ),
inference(paramod_ordered,[status(thm)],[52,230]) ).
thf(238,plain,
( ( lower_dimension_point_1 != lower_dimension_point_2 )
| ( lower_dimension_point_3 != lower_dimension_point_2 ) ),
inference(simp,[status(thm)],[236]) ).
thf(18,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( D @ ( E @ ( C @ ( B @ ( A @ inner_pasch ) ) ) ) @ ( E @ between ) ) )
| ~ ( C @ ( E @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
thf(84,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( D @ ( E @ ( C @ ( B @ ( A @ inner_pasch ) ) ) ) @ ( E @ between ) ) )
| ~ ( C @ ( E @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(7,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( F @ ( G @ ( E @ equidistant ) ) ) )
| ( A = B )
| ~ ( F @ ( D @ ( C @ between ) ) )
| ~ ( E @ ( B @ ( A @ between ) ) )
| ~ ( H @ ( D @ ( G @ ( B @ equidistant ) ) ) )
| ~ ( H @ ( C @ ( G @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
thf(59,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( F @ ( G @ ( E @ equidistant ) ) ) )
| ( A = B )
| ~ ( F @ ( D @ ( C @ between ) ) )
| ~ ( E @ ( B @ ( A @ between ) ) )
| ~ ( H @ ( D @ ( G @ ( B @ equidistant ) ) ) )
| ~ ( H @ ( C @ ( G @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(60,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( F @ ( G @ ( E @ equidistant ) ) ) )
| ( A = B )
| ~ ( F @ ( D @ ( C @ between ) ) )
| ~ ( E @ ( B @ ( A @ between ) ) )
| ~ ( H @ ( D @ ( G @ ( B @ equidistant ) ) ) )
| ~ ( H @ ( C @ ( G @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(cnf,[status(esa)],[59]) ).
thf(61,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( F @ ( G @ ( E @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( C @ between ) ) )
| ~ ( E @ ( B @ ( A @ between ) ) )
| ~ ( H @ ( D @ ( G @ ( B @ equidistant ) ) ) )
| ~ ( H @ ( C @ ( G @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[60]) ).
thf(33,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = C )
| ( D @ ( A @ ( E @ between ) ) )
| ( A @ ( E @ ( D @ between ) ) )
| ( E @ ( D @ ( A @ between ) ) )
| ~ ( C @ ( E @ ( B @ ( E @ equidistant ) ) ) )
| ~ ( C @ ( D @ ( B @ ( D @ equidistant ) ) ) )
| ~ ( C @ ( A @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_dimension) ).
thf(116,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = C )
| ( D @ ( A @ ( E @ between ) ) )
| ( A @ ( E @ ( D @ between ) ) )
| ( E @ ( D @ ( A @ between ) ) )
| ~ ( C @ ( E @ ( B @ ( E @ equidistant ) ) ) )
| ~ ( C @ ( D @ ( B @ ( D @ equidistant ) ) ) )
| ~ ( C @ ( A @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(21,axiom,
~ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
thf(91,plain,
~ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(92,plain,
~ ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) ),
inference(polarity_switch,[status(thm)],[91]) ).
thf(211,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) )
!= ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[115,92]) ).
thf(212,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) )
!= ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) ) ),
inference(simp,[status(thm)],[211]) ).
thf(225,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ reflection ) )
!= lower_dimension_point_1 )
| ( B != lower_dimension_point_3 )
| ( A != lower_dimension_point_2 ) ),
inference(simp,[status(thm)],[212]) ).
thf(229,plain,
( ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ reflection ) )
!= lower_dimension_point_1 ),
inference(simp,[status(thm)],[225]) ).
thf(10,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( F @ ( C @ ( B @ ( A @ continuous ) ) ) ) ) @ ( A @ ( F @ ( A @ equidistant ) ) ) )
| ~ ( D @ ( F @ ( B @ between ) ) )
| ~ ( D @ ( B @ ( A @ between ) ) )
| ~ ( E @ ( A @ ( D @ ( A @ equidistant ) ) ) )
| ~ ( C @ ( A @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity2) ).
thf(65,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( F @ ( C @ ( B @ ( A @ continuous ) ) ) ) ) @ ( A @ ( F @ ( A @ equidistant ) ) ) )
| ~ ( D @ ( F @ ( B @ between ) ) )
| ~ ( D @ ( B @ ( A @ between ) ) )
| ~ ( E @ ( A @ ( D @ ( A @ equidistant ) ) ) )
| ~ ( C @ ( A @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(30,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ between ) ) )
| ( A
!= ( E @ ( D @ ( C @ ( B @ extension ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b0) ).
thf(109,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( C @ ( B @ between ) ) )
| ( A
!= ( E @ ( D @ ( C @ ( B @ extension ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(37,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( D @ ( C @ ( A @ ( B @ extension ) ) ) @ ( A @ equidistant ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
thf(124,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( D @ ( C @ ( A @ ( B @ extension ) ) ) @ ( A @ equidistant ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(14,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( B @ ( D @ ( A @ euclid1 ) ) ) ) @ ( D @ ( A @ between ) ) )
| ( A = B )
| ~ ( E @ ( B @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid1) ).
thf(73,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( B @ ( D @ ( A @ euclid1 ) ) ) ) @ ( D @ ( A @ between ) ) )
| ( A = B )
| ~ ( E @ ( B @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(1,negated_conjecture,
w != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_x) ).
thf(43,plain,
w != x,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(44,plain,
w != x,
inference(polarity_switch,[status(thm)],[43]) ).
thf(45,plain,
x != w,
inference(lifteq,[status(thm)],[44]) ).
thf(9,axiom,
! [B: $i,A: $i] : ( B @ ( B @ ( A @ ( A @ equidistant ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
thf(64,plain,
! [B: $i,A: $i] : ( B @ ( B @ ( A @ ( A @ equidistant ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(162,plain,
( ( ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) )
!= ( w @ ( v @ ( u @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,92]) ).
thf(163,plain,
( ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) )
!= ( w @ ( v @ ( u @ between ) ) ) ),
inference(simp,[status(thm)],[162]) ).
thf(176,plain,
( ( lower_dimension_point_1 != w )
| ( lower_dimension_point_3 != v )
| ( lower_dimension_point_2 != u ) ),
inference(simp,[status(thm)],[163]) ).
thf(13,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
thf(71,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(19,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( D @ ( F @ ( C @ ( B @ ( A @ continuous ) ) ) ) ) @ ( C @ between ) ) )
| ~ ( D @ ( F @ ( B @ between ) ) )
| ~ ( D @ ( B @ ( A @ between ) ) )
| ~ ( E @ ( A @ ( D @ ( A @ equidistant ) ) ) )
| ~ ( C @ ( A @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity1) ).
thf(86,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( E @ ( D @ ( F @ ( C @ ( B @ ( A @ continuous ) ) ) ) ) @ ( C @ between ) ) )
| ~ ( D @ ( F @ ( B @ between ) ) )
| ~ ( D @ ( B @ ( A @ between ) ) )
| ~ ( E @ ( A @ ( D @ ( A @ equidistant ) ) ) )
| ~ ( C @ ( A @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(145,plain,
( ( ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) )
!= ( x @ ( v @ ( u @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[128,92]) ).
thf(146,plain,
( ( lower_dimension_point_1 @ ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ between ) ) )
!= ( x @ ( v @ ( u @ between ) ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(159,plain,
( ( lower_dimension_point_1 != x )
| ( lower_dimension_point_3 != v )
| ( lower_dimension_point_2 != u ) ),
inference(simp,[status(thm)],[146]) ).
thf(31,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( A @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( A @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(17,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( B @ ( D @ ( A @ euclid2 ) ) ) ) @ ( C @ ( C @ ( E @ ( B @ ( D @ ( A @ euclid1 ) ) ) ) @ between ) ) )
| ( A = B )
| ~ ( E @ ( B @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid3) ).
thf(81,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( B @ ( D @ ( A @ euclid2 ) ) ) ) @ ( C @ ( C @ ( E @ ( B @ ( D @ ( A @ euclid1 ) ) ) ) @ between ) ) )
| ( A = B )
| ~ ( E @ ( B @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(24,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( B @ ( D @ ( A @ euclid2 ) ) ) ) @ ( E @ ( A @ between ) ) )
| ( A = B )
| ~ ( E @ ( B @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid2) ).
thf(98,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( B @ ( D @ ( A @ euclid2 ) ) ) ) @ ( E @ ( A @ between ) ) )
| ( A = B )
| ~ ( E @ ( B @ ( D @ between ) ) )
| ~ ( C @ ( B @ ( A @ between ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( A @ ( B @ ( A @ between ) ) ) ),
inference(cnf,[status(esa)],[88]) ).
thf(90,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ between ) ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[89]) ).
thf(492,plain,
! [B: $i,A: $i] :
( ( A != x )
| ( B != w )
| ~ ( A @ ( B @ ( A @ between ) ) ) ),
inference(paramod_ordered,[status(thm)],[90,45]) ).
thf(493,plain,
! [A: $i] :
( ( A != w )
| ~ ( x @ ( A @ ( x @ between ) ) ) ),
inference(pattern_uni,[status(thm)],[492:[bind(A,$thf( x ))]]) ).
thf(631,plain,
~ ( x @ ( w @ ( x @ between ) ) ),
inference(simp,[status(thm)],[493]) ).
thf(29,axiom,
! [B: $i,A: $i] : ( A @ ( B @ ( A @ ( B @ reflection ) @ ( A @ equidistant ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_2) ).
thf(108,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( A @ ( B @ reflection ) @ ( A @ equidistant ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(42,axiom,
x @ ( v @ ( w @ ( v @ equidistant ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v_to_x) ).
thf(130,plain,
x @ ( v @ ( w @ ( v @ equidistant ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(213,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) )
!= ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[115,94]) ).
thf(214,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ reflection ) @ ( B @ ( A @ between ) ) )
!= ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) ) ),
inference(simp,[status(thm)],[213]) ).
thf(227,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ reflection ) )
!= lower_dimension_point_3 )
| ( B != lower_dimension_point_2 )
| ( A != lower_dimension_point_1 ) ),
inference(simp,[status(thm)],[214]) ).
thf(231,plain,
( ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ reflection ) )
!= lower_dimension_point_3 ),
inference(simp,[status(thm)],[227]) ).
thf(239,plain,
! [A: $i] :
( ( ( A @ ( A @ reflection ) )
!= ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ reflection ) ) )
| ( A != lower_dimension_point_3 ) ),
inference(paramod_ordered,[status(thm)],[52,231]) ).
thf(241,plain,
( ( lower_dimension_point_3 != lower_dimension_point_2 )
| ( lower_dimension_point_1 != lower_dimension_point_3 ) ),
inference(simp,[status(thm)],[239]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B = A )
| ( A
!= ( A @ ( B @ reflection ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r4) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( A
!= ( A @ ( B @ reflection ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( C @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( C @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( A
!= ( A @ ( B @ reflection ) ) ) ),
inference(cnf,[status(esa)],[48]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( ( A @ ( B @ reflection ) )
!= A ) ),
inference(lifteq,[status(thm)],[49]) ).
thf(11,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( D @ ( C @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(39,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( C @ ( E @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( C @ between ) ) )
| ~ ( E @ ( B @ ( A @ between ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8) ).
thf(126,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( C @ ( E @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( C @ between ) ) )
| ~ ( E @ ( B @ ( A @ between ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(127,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( C @ ( E @ ( A @ equidistant ) ) ) )
| ~ ( F @ ( D @ ( C @ between ) ) )
| ~ ( E @ ( B @ ( A @ between ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(cnf,[status(esa)],[126]) ).
thf(170,plain,
( ( ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) )
!= ( w @ ( v @ ( u @ between ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,94]) ).
thf(171,plain,
( ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ ( lower_dimension_point_1 @ between ) ) )
!= ( w @ ( v @ ( u @ between ) ) ) ),
inference(simp,[status(thm)],[170]) ).
thf(175,plain,
( ( lower_dimension_point_3 != w )
| ( lower_dimension_point_2 != v )
| ( lower_dimension_point_1 != u ) ),
inference(simp,[status(thm)],[171]) ).
thf(233,plain,
! [A: $i] :
( ( ( A @ ( A @ reflection ) )
!= ( lower_dimension_point_3 @ ( lower_dimension_point_2 @ reflection ) ) )
| ( A != lower_dimension_point_1 ) ),
inference(paramod_ordered,[status(thm)],[52,229]) ).
thf(235,plain,
( ( lower_dimension_point_1 != lower_dimension_point_3 )
| ( lower_dimension_point_1 != lower_dimension_point_2 ) ),
inference(simp,[status(thm)],[233]) ).
thf(271,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ reflection ) )
!= ( B @ ( C @ reflection ) ) )
| ( B @ ( C @ ( A @ ( B @ equidistant ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[52,108]) ).
thf(272,plain,
! [A: $i] : ( A @ ( A @ ( A @ ( A @ equidistant ) ) ) ),
inference(pattern_uni,[status(thm)],[271:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(34,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( B @ ( A @ extension ) ) ) @ ( B @ ( A @ between ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
thf(119,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( B @ ( A @ extension ) ) ) @ ( B @ ( A @ between ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ ( A @ extension ) ) ) )
= ( B @ ( A @ reflection ) ) ),
inference(lifteq,[status(thm)],[57]) ).
thf(16,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ ( D @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).
thf(79,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ ( D @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( A @ ( B @ extension ) ) ) )
= A ),
inference(lifteq,[status(thm)],[46]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( B @ ( A @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_1) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( B @ ( A @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(36,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_5) ).
thf(122,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ equidistant ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ equidistant ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(1437,plain,
$false,
inference(e,[status(thm)],[174,102,53,129,158,51,69,101,88,115,120,52,125,157,46,93,57,78,216,106,238,84,61,116,92,229,65,109,124,73,128,105,45,64,176,59,71,86,159,113,81,230,76,98,631,91,108,130,241,48,95,50,67,127,175,43,231,104,235,272,119,58,126,79,94,47,62,90,122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO026-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/5.41 % Computer : n002.cluster.edu
% 0.14/5.41 % Model : x86_64 x86_64
% 0.14/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.41 % Memory : 8046.5625MB
% 0.14/5.41 % OS : Linux 6.8.0-71-generic
% 0.14/5.41 % CPULimit : 300
% 0.14/5.41 % WCLimit : 300
% 0.14/5.41 % DateTime : Fri Sep 25 12:36:11 UTC 2026
% 0.14/5.41 % CPUTime :
% 0.14/5.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.18/6.01 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/6.23 % [INFO] Parsing done (219ms).
% 1.35/6.25 % [INFO] Running in sequential loop mode.
% 2.03/6.64 % [INFO] eprover registered as external prover.
% 2.03/6.65 % [INFO] Scanning for conjecture ...
% 2.23/6.74 % [INFO] Found a conjecture (or negated_conjecture) and 41 axioms. Running axiom selection ...
% 2.40/6.81 % [INFO] Axiom selection finished. Selected 41 axioms (removed 0 axioms).
% 2.40/6.88 % [INFO] Problem is propositional (TPTP CNF).
% 2.40/6.89 % [INFO] Type checking passed.
% 2.40/6.90 % [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 ...
% 12.54/9.45 % External prover 'e' found a proof!
% 12.54/9.45 % [INFO] Killing All external provers ...
% 12.54/9.45 % Time passed: 3891ms (effective reasoning time: 3198ms)
% 12.54/9.45 % Axioms used in derivation (41): continuity1, inner_pasch2, d3, reflexivity_for_equidistance, lower_dimension2, reflection, r2_2, identity_for_betweeness, outer_five_segment, upper_dimension, d4_2, v_between_u_and_w, euclid3, d5, lower_dimension1, u_not_v, d4_4, continuity2, r2_1, d4_5, transitivity_for_equidistance, e1, r3_2, b0, euclid1, d7, r4, segment_construction2, d2, d4_1, lower_dimension3, v_to_w_equals_v_to_x, d8, inner_pasch1, r3_1, segment_construction1, euclid2, d1, v_between_u_and_x, identity_for_equidistance, d4_3
% 12.54/9.45 % No. of inferences in proof: 145
% 12.54/9.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3891 ms resp. 3198 ms w/o parsing
% 11.38/9.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.38/9.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------