TSTP Solution File: GEO076-4 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO076-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 11:09:14 EDT 2023
% Result : Unsatisfiable 3.96s 1.89s
% Output : Refutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 49
% Syntax : Number of formulae : 83 ( 5 unt; 16 typ; 0 def)
% Number of atoms : 355 ( 86 equ; 0 cnn)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 996 ( 208 ~; 288 |; 0 &; 500 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 142 ( 0 ^; 142 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(line_type,type,
line: $i > $o ).
thf(on_type,type,
on: $i > $i > $o ).
thf(a_point_type,type,
a_point: $i ).
thf(plane_type,type,
plane: $i > $o ).
thf(point_type,type,
point: $i > $o ).
thf(point_not_on_plane_type,type,
point_not_on_plane: $i > $i ).
thf(point_on_plane_type,type,
point_on_plane: $i > $i ).
thf(plane_for_points_type,type,
plane_for_points: $i > $i > $i > $i ).
thf(collinear_type,type,
collinear: $i > $i > $i > $o ).
thf(line_through_3_points_type,type,
line_through_3_points: $i > $i > $i > $i ).
thf(line_from_to_type,type,
line_from_to: $i > $i > $i ).
thf(common_point_on_planes_type,type,
common_point_on_planes: $i > $i > $i > $i ).
thf(point_1_on_line_type,type,
point_1_on_line: $i > $i ).
thf(point_not_on_line_type,type,
point_not_on_line: $i > $i ).
thf(point_2_on_line_type,type,
point_2_on_line: $i > $i ).
thf(at_least_one_line_type,type,
at_least_one_line: $i ).
thf(28,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( on @ A @ B )
| ( A = C )
| ~ ( on @ C @ B )
| ( B = D )
| ~ ( on @ A @ D )
| ~ ( on @ C @ D )
| ~ ( point @ A )
| ~ ( point @ C )
| ~ ( line @ B )
| ~ ( line @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1D) ).
thf(101,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( on @ A @ B )
| ( A = C )
| ~ ( on @ C @ B )
| ( B = D )
| ~ ( on @ A @ D )
| ~ ( on @ C @ D )
| ~ ( point @ A )
| ~ ( point @ C )
| ~ ( line @ B )
| ~ ( line @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(33,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( on @ ( common_point_on_planes @ A @ B @ C ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G9B) ).
thf(115,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( on @ ( common_point_on_planes @ A @ B @ C ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( on @ ( common_point_on_planes @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G9A) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( on @ ( common_point_on_planes @ A @ B @ C ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( plane @ A )
| ( point @ ( point_on_plane @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G5B) ).
thf(38,plain,
! [A: $i] :
( ~ ( plane @ A )
| ( point @ ( point_on_plane @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(19,axiom,
! [A: $i] :
( ( point @ ( point_2_on_line @ A ) )
| ~ ( line @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2D) ).
thf(80,plain,
! [A: $i] :
( ( point @ ( point_2_on_line @ A ) )
| ~ ( line @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(12,axiom,
point @ a_point,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_point) ).
thf(63,plain,
point @ a_point,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( on @ A @ ( plane_for_points @ B @ C @ A ) )
| ~ ( point @ B )
| ~ ( point @ C )
| ~ ( point @ A )
| ( collinear @ B @ C @ A )
| ( B = C )
| ( B = A )
| ( C = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G7C) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( on @ A @ ( plane_for_points @ B @ C @ A ) )
| ~ ( point @ B )
| ~ ( point @ C )
| ~ ( point @ A )
| ( collinear @ B @ C @ A )
| ( B = C )
| ( B = A )
| ( C = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [A: $i] :
( ~ ( plane @ A )
| ( point @ ( point_not_on_plane @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G6B) ).
thf(36,plain,
! [A: $i] :
( ~ ( plane @ A )
| ( point @ ( point_not_on_plane @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( line @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10D) ).
thf(107,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( line @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(15,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( collinear @ A @ B @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ~ ( on @ A @ D )
| ~ ( on @ B @ D )
| ~ ( on @ C @ D )
| ~ ( plane @ D )
| ~ ( on @ A @ E )
| ~ ( on @ B @ E )
| ~ ( on @ C @ E )
| ~ ( plane @ E )
| ( D = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G7E) ).
thf(68,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( collinear @ A @ B @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ~ ( on @ A @ D )
| ~ ( on @ B @ D )
| ~ ( on @ C @ D )
| ~ ( plane @ D )
| ~ ( on @ A @ E )
| ~ ( on @ B @ E )
| ~ ( on @ C @ E )
| ~ ( plane @ E )
| ( D = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(23,axiom,
line @ at_least_one_line,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G4A) ).
thf(90,plain,
line @ at_least_one_line,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( on @ A @ ( line_from_to @ A @ B ) )
| ( A = B )
| ~ ( point @ A )
| ~ ( point @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1A) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( on @ A @ ( line_from_to @ A @ B ) )
| ( A = B )
| ~ ( point @ A )
| ~ ( point @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(31,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( collinear @ A @ B @ C )
| ~ ( on @ A @ D )
| ~ ( on @ B @ D )
| ~ ( on @ C @ D )
| ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ~ ( line @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10E) ).
thf(110,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( collinear @ A @ B @ C )
| ~ ( on @ A @ D )
| ~ ( on @ B @ D )
| ~ ( on @ C @ D )
| ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ~ ( line @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( on @ C @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10C) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( on @ C @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(25,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( on @ A @ B )
| ~ ( on @ C @ B )
| ~ ( on @ A @ D )
| ~ ( on @ C @ D )
| ~ ( plane @ D )
| ~ ( point @ A )
| ~ ( point @ C )
| ~ ( line @ B )
| ( A = C )
| ( on @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G8A) ).
thf(93,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( on @ A @ B )
| ~ ( on @ C @ B )
| ~ ( on @ A @ D )
| ~ ( on @ C @ D )
| ~ ( plane @ D )
| ~ ( point @ A )
| ~ ( point @ C )
| ~ ( line @ B )
| ( A = C )
| ( on @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(11,axiom,
! [A: $i] :
( ~ ( plane @ A )
| ~ ( on @ ( point_not_on_plane @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G6A) ).
thf(61,plain,
! [A: $i] :
( ~ ( plane @ A )
| ~ ( on @ ( point_not_on_plane @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( line @ ( line_from_to @ A @ B ) )
| ( A = B )
| ~ ( point @ A )
| ~ ( point @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1C) ).
thf(74,plain,
! [B: $i,A: $i] :
( ( line @ ( line_from_to @ A @ B ) )
| ( A = B )
| ~ ( point @ A )
| ~ ( point @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( on @ A @ ( plane_for_points @ B @ A @ C ) )
| ~ ( point @ B )
| ~ ( point @ A )
| ~ ( point @ C )
| ( collinear @ B @ A @ C )
| ( B = A )
| ( B = C )
| ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G7B) ).
thf(77,plain,
! [C: $i,B: $i,A: $i] :
( ( on @ A @ ( plane_for_points @ B @ A @ C ) )
| ~ ( point @ B )
| ~ ( point @ A )
| ~ ( point @ C )
| ( collinear @ B @ A @ C )
| ( B = A )
| ( B = C )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,axiom,
! [A: $i] :
( ( point @ ( point_not_on_line @ A ) )
| ~ ( line @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G3B) ).
thf(96,plain,
! [A: $i] :
( ( point @ ( point_not_on_line @ A ) )
| ~ ( line @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( line @ A )
| ( on @ a_point @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_point_is_not_on_every_line) ).
thf(34,plain,
! [A: $i] :
( ~ ( line @ A )
| ( on @ a_point @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,axiom,
! [A: $i] :
( ( point @ ( point_1_on_line @ A ) )
| ~ ( line @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2C) ).
thf(64,plain,
! [A: $i] :
( ( point @ ( point_1_on_line @ A ) )
| ~ ( line @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(16,axiom,
! [A: $i] :
( ( ( point_1_on_line @ A )
!= ( point_2_on_line @ A ) )
| ~ ( line @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2E) ).
thf(71,plain,
! [A: $i] :
( ( ( point_1_on_line @ A )
!= ( point_2_on_line @ A ) )
| ~ ( line @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( on @ A @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10A) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( on @ A @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(32,axiom,
! [A: $i] :
( ( on @ ( point_1_on_line @ A ) @ A )
| ~ ( line @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2A) ).
thf(113,plain,
! [A: $i] :
( ( on @ ( point_1_on_line @ A ) @ A )
| ~ ( line @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(27,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( C
!= ( common_point_on_planes @ A @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G9D) ).
thf(98,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( C
!= ( common_point_on_planes @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(24,axiom,
! [A: $i] :
( ( on @ ( point_2_on_line @ A ) @ A )
| ~ ( line @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2B) ).
thf(91,plain,
! [A: $i] :
( ( on @ ( point_2_on_line @ A ) @ A )
| ~ ( line @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(14,axiom,
! [A: $i] :
( ~ ( on @ ( point_not_on_line @ A ) @ A )
| ~ ( line @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G3A) ).
thf(66,plain,
! [A: $i] :
( ~ ( on @ ( point_not_on_line @ A ) @ A )
| ~ ( line @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ( on @ A @ ( line_from_to @ B @ A ) )
| ( B = A )
| ~ ( point @ B )
| ~ ( point @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1B) ).
thf(87,plain,
! [B: $i,A: $i] :
( ( on @ A @ ( line_from_to @ B @ A ) )
| ( B = A )
| ~ ( point @ B )
| ~ ( point @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(29,axiom,
! [C: $i,B: $i,A: $i] :
( ( on @ A @ ( plane_for_points @ A @ B @ C ) )
| ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( collinear @ A @ B @ C )
| ( A = B )
| ( A = C )
| ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G7A) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ( on @ A @ ( plane_for_points @ A @ B @ C ) )
| ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( collinear @ A @ B @ C )
| ( A = B )
| ( A = C )
| ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( plane @ ( plane_for_points @ A @ B @ C ) )
| ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( collinear @ A @ B @ C )
| ( A = B )
| ( A = C )
| ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G7D) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ( plane @ ( plane_for_points @ A @ B @ C ) )
| ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( collinear @ A @ B @ C )
| ( A = B )
| ( A = C )
| ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( point @ ( common_point_on_planes @ A @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G9C) ).
thf(55,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( plane @ A )
| ~ ( plane @ B )
| ( A = B )
| ~ ( on @ C @ A )
| ~ ( on @ C @ B )
| ~ ( point @ C )
| ( point @ ( common_point_on_planes @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( on @ B @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10B) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( point @ C )
| ( A = B )
| ( A = C )
| ( B = C )
| ( on @ B @ ( line_through_3_points @ A @ B @ C ) )
| ~ ( collinear @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(20,axiom,
! [A: $i] :
( ~ ( plane @ A )
| ( on @ ( point_on_plane @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G5A) ).
thf(82,plain,
! [A: $i] :
( ~ ( plane @ A )
| ( on @ ( point_on_plane @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(120,plain,
$false,
inference(e,[status(thm)],[101,115,84,38,80,63,43,36,107,68,90,52,110,46,93,61,74,77,96,34,64,71,49,113,98,91,66,87,104,40,55,58,82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO076-4 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n010.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 : Fri May 19 04:15:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.91/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (123ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.74/1.16 % [INFO] eprover registered as external prover.
% 1.74/1.16 % [INFO] cvc4 registered as external prover.
% 1.74/1.17 % [INFO] Scanning for conjecture ...
% 1.74/1.22 % [INFO] Found a conjecture and 32 axioms. Running axiom selection ...
% 1.92/1.27 % [INFO] Axiom selection finished. Selected 32 axioms (removed 0 axioms).
% 2.06/1.31 % [INFO] Problem is propositional (TPTP CNF).
% 2.06/1.32 % [INFO] Type checking passed.
% 2.06/1.32 % [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 ...
% 3.96/1.88 % External prover 'e' found a proof!
% 3.96/1.88 % [INFO] Killing All external provers ...
% 3.96/1.89 % Time passed: 1373ms (effective reasoning time: 916ms)
% 3.96/1.89 % 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)>
% 3.96/1.89 % Axioms used in derivation (32): axiom_G1D, axiom_G2E, axiom_G2A, axiom_G8A, axiom_G7D, axiom_G10A, axiom_G2C, axiom_G7E, axiom_G10D, axiom_G7B, axiom_G1C, axiom_G6A, axiom_G10E, axiom_G2D, axiom_G1A, axiom_G7C, axiom_G6B, there_is_a_point, axiom_G2B, axiom_G3B, axiom_G10C, axiom_G9B, axiom_G5A, axiom_G9C, axiom_G5B, axiom_G1B, axiom_G3A, axiom_G7A, axiom_G10B, axiom_G4A, axiom_G9D, axiom_G9A
% 3.96/1.89 % No. of inferences in proof: 67
% 3.96/1.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1373 ms resp. 916 ms w/o parsing
% 4.21/1.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.21/1.94 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------