TSTP Solution File: GEO196+3 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 11:09:49 EDT 2023
% Result : Theorem 4.08s 2.04s
% Output : Refutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 52
% Syntax : Number of formulae : 90 ( 15 unt; 16 typ; 0 def)
% Number of atoms : 215 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 680 ( 63 ~; 38 |; 43 &; 476 @)
% ( 5 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 1 con; 0-2 aty)
% Number of variables : 174 ( 0 ^; 174 !; 0 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(incident_point_and_line_type,type,
incident_point_and_line: $i > $i > $o ).
thf(intersection_point_type,type,
intersection_point: $i > $i > $i ).
thf(equal_points_type,type,
equal_points: $i > $i > $o ).
thf(distinct_points_type,type,
distinct_points: $i > $i > $o ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(apart_point_and_line_type,type,
apart_point_and_line: $i > $i > $o ).
thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(orthogonal_through_point_type,type,
orthogonal_through_point: $i > $i > $i ).
thf(equal_lines_type,type,
equal_lines: $i > $i > $o ).
thf(line_type,type,
line: $i > $o ).
thf(point_type,type,
point: $i > $o ).
thf(parallel_through_point_type,type,
parallel_through_point: $i > $i > $i ).
thf(orthogonal_lines_type,type,
orthogonal_lines: $i > $i > $o ).
thf(line_connecting_type,type,
line_connecting: $i > $i > $i ).
thf(parallel_lines_type,type,
parallel_lines: $i > $i > $o ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( distinct_lines @ B @ C )
=> ( ( apart_point_and_line @ A @ B )
| ( apart_point_and_line @ A @ C )
| ( unorthogonal_lines @ B @ D )
| ( unorthogonal_lines @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
thf(57,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( distinct_lines @ B @ C )
=> ( ( apart_point_and_line @ A @ B )
| ( apart_point_and_line @ A @ C )
| ( unorthogonal_lines @ B @ D )
| ( unorthogonal_lines @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
! [A: $i,B: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ B @ A ) @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
thf(60,plain,
! [A: $i,B: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ B @ A ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( convergent_lines @ A @ B )
& ( convergent_lines @ C @ D )
& ( incident_point_and_line @ ( intersection_point @ A @ B ) @ C )
& ( incident_point_and_line @ ( intersection_point @ A @ B ) @ D ) )
=> ( ( incident_point_and_line @ ( intersection_point @ C @ D ) @ A )
& ( incident_point_and_line @ ( intersection_point @ C @ D ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( convergent_lines @ A @ B )
& ( convergent_lines @ C @ D )
& ( incident_point_and_line @ ( intersection_point @ A @ B ) @ C )
& ( incident_point_and_line @ ( intersection_point @ A @ B ) @ D ) )
=> ( ( incident_point_and_line @ ( intersection_point @ C @ D ) @ A )
& ( incident_point_and_line @ ( intersection_point @ C @ D ) @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(38,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( convergent_lines @ A @ B )
& ( convergent_lines @ C @ D )
& ( incident_point_and_line @ ( intersection_point @ A @ B ) @ C )
& ( incident_point_and_line @ ( intersection_point @ A @ B ) @ D ) )
=> ( ( incident_point_and_line @ ( intersection_point @ C @ D ) @ A )
& ( incident_point_and_line @ ( intersection_point @ C @ D ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( point @ B ) )
=> ( line @ ( orthogonal_through_point @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',orth1) ).
thf(97,plain,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( point @ B ) )
=> ( line @ ( orthogonal_through_point @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(37,axiom,
! [A: $i] :
~ ( convergent_lines @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
thf(148,plain,
! [A: $i] :
~ ( convergent_lines @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( equal_points @ A @ B )
<=> ~ ( distinct_points @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( equal_points @ A @ B )
=> ~ ( distinct_points @ A @ B ) )
& ( ~ ( distinct_points @ A @ B )
=> ( equal_points @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
thf(130,plain,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( apart_point_and_line @ A @ B )
=> ( ( distinct_lines @ B @ C )
| ( apart_point_and_line @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
thf(63,plain,
! [A: $i,B: $i,C: $i] :
( ( apart_point_and_line @ A @ B )
=> ( ( distinct_lines @ B @ C )
| ( apart_point_and_line @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ( convergent_lines @ A @ B )
=> ( ( distinct_lines @ B @ C )
| ( convergent_lines @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
thf(127,plain,
! [A: $i,B: $i,C: $i] :
( ( convergent_lines @ A @ B )
=> ( ( distinct_lines @ B @ C )
| ( convergent_lines @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( incident_point_and_line @ A @ B )
<=> ~ ( apart_point_and_line @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
thf(143,plain,
! [A: $i,B: $i] :
( ( ( incident_point_and_line @ A @ B )
=> ~ ( apart_point_and_line @ A @ B ) )
& ( ~ ( apart_point_and_line @ A @ B )
=> ( incident_point_and_line @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( distinct_points @ A @ B )
=> ~ ( apart_point_and_line @ A @ ( line_connecting @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
thf(99,plain,
! [A: $i,B: $i] :
( ( distinct_points @ A @ B )
=> ~ ( apart_point_and_line @ A @ ( line_connecting @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ B )
& ( distinct_lines @ C @ D ) )
=> ( ( apart_point_and_line @ A @ C )
| ( apart_point_and_line @ A @ D )
| ( apart_point_and_line @ B @ C )
| ( apart_point_and_line @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
thf(55,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ B )
& ( distinct_lines @ C @ D ) )
=> ( ( apart_point_and_line @ A @ C )
| ( apart_point_and_line @ A @ D )
| ( apart_point_and_line @ B @ C )
| ( apart_point_and_line @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( convergent_lines @ A @ B )
& ( unorthogonal_lines @ A @ B ) )
=> ( ( ( convergent_lines @ A @ C )
& ( unorthogonal_lines @ A @ C ) )
| ( ( convergent_lines @ B @ C )
& ( unorthogonal_lines @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oac1) ).
thf(119,plain,
! [A: $i,B: $i,C: $i] :
( ( ( convergent_lines @ A @ B )
& ( unorthogonal_lines @ A @ B ) )
=> ( ( ( convergent_lines @ A @ C )
& ( unorthogonal_lines @ A @ C ) )
| ( ( convergent_lines @ B @ C )
& ( unorthogonal_lines @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( apart_point_and_line @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
thf(83,plain,
! [A: $i,B: $i,C: $i] :
( ( apart_point_and_line @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( equal_lines @ A @ B )
<=> ~ ( distinct_lines @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(69,plain,
! [A: $i,B: $i] :
( ( ( equal_lines @ A @ B )
=> ~ ( distinct_lines @ A @ B ) )
& ( ~ ( distinct_lines @ A @ B )
=> ( equal_lines @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( ~ ( convergent_lines @ A @ B )
| ~ ( unorthogonal_lines @ A @ B ) )
& ( ~ ( convergent_lines @ A @ C )
| ~ ( unorthogonal_lines @ A @ C ) ) )
=> ( ~ ( convergent_lines @ B @ C )
| ~ ( unorthogonal_lines @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
thf(138,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ~ ( convergent_lines @ A @ B )
| ~ ( unorthogonal_lines @ A @ B ) )
& ( ~ ( convergent_lines @ A @ C )
| ~ ( unorthogonal_lines @ A @ C ) ) )
=> ( ~ ( convergent_lines @ B @ C )
| ~ ( unorthogonal_lines @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( distinct_lines @ B @ C )
=> ( ( apart_point_and_line @ A @ B )
| ( apart_point_and_line @ A @ C )
| ( convergent_lines @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).
thf(101,plain,
! [A: $i,B: $i,C: $i] :
( ( distinct_lines @ B @ C )
=> ( ( apart_point_and_line @ A @ B )
| ( apart_point_and_line @ A @ C )
| ( convergent_lines @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(17,axiom,
! [A: $i] :
~ ( distinct_lines @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
thf(88,plain,
! [A: $i] :
~ ( distinct_lines @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(5,axiom,
! [A: $i] :
~ ( distinct_points @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
thf(52,plain,
! [A: $i] :
~ ( distinct_points @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
| ( unorthogonal_lines @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',occu1) ).
thf(125,plain,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
| ( unorthogonal_lines @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
thf(132,plain,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( convergent_lines @ A @ B )
=> ( ( convergent_lines @ A @ C )
| ( convergent_lines @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(116,plain,
! [A: $i,B: $i,C: $i] :
( ( convergent_lines @ A @ B )
=> ( ( convergent_lines @ A @ C )
| ( convergent_lines @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( point @ B ) )
=> ( line @ ( parallel_through_point @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',par1) ).
thf(74,plain,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( point @ B ) )
=> ( line @ ( parallel_through_point @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( unorthogonal_lines @ A @ B )
& ~ ( unorthogonal_lines @ A @ C ) )
=> ~ ( convergent_lines @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',couo1) ).
thf(134,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( unorthogonal_lines @ A @ B )
& ~ ( unorthogonal_lines @ A @ C ) )
=> ~ ( convergent_lines @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(24,axiom,
! [A: $i,B: $i] :
~ ( ~ ( convergent_lines @ A @ B )
& ~ ( unorthogonal_lines @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
thf(105,plain,
! [A: $i,B: $i] :
~ ( ~ ( convergent_lines @ A @ B )
& ~ ( unorthogonal_lines @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( distinct_points @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
thf(49,plain,
! [A: $i,B: $i,C: $i] :
( ( distinct_points @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ( line @ ( line_connecting @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
thf(86,plain,
! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ( line @ ( line_connecting @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(26,axiom,
! [A: $i,B: $i] :
~ ( convergent_lines @ ( parallel_through_point @ B @ A ) @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
thf(113,plain,
! [A: $i,B: $i] :
~ ( convergent_lines @ ( parallel_through_point @ B @ A ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( distinct_points @ A @ B )
=> ~ ( apart_point_and_line @ B @ ( line_connecting @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
thf(81,plain,
! [A: $i,B: $i] :
( ( distinct_points @ A @ B )
=> ~ ( apart_point_and_line @ B @ ( line_connecting @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( orthogonal_lines @ A @ B )
<=> ~ ( unorthogonal_lines @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
thf(76,plain,
! [A: $i,B: $i] :
( ( ( orthogonal_lines @ A @ B )
=> ~ ( unorthogonal_lines @ A @ B ) )
& ( ~ ( unorthogonal_lines @ A @ B )
=> ( orthogonal_lines @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( line @ B )
& ( convergent_lines @ A @ B ) )
=> ( point @ ( intersection_point @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',int1) ).
thf(103,plain,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( line @ B )
& ( convergent_lines @ A @ B ) )
=> ( point @ ( intersection_point @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(18,axiom,
! [A: $i,B: $i] :
~ ( apart_point_and_line @ A @ ( orthogonal_through_point @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc2) ).
thf(91,plain,
! [A: $i,B: $i] :
~ ( apart_point_and_line @ A @ ( orthogonal_through_point @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( distinct_lines @ A @ B )
=> ( ( distinct_lines @ A @ C )
| ( distinct_lines @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
thf(66,plain,
! [A: $i,B: $i,C: $i] :
( ( distinct_lines @ A @ B )
=> ( ( distinct_lines @ A @ C )
| ( distinct_lines @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( parallel_lines @ A @ B )
<=> ~ ( convergent_lines @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( ( parallel_lines @ A @ B )
=> ~ ( convergent_lines @ A @ B ) )
& ( ~ ( convergent_lines @ A @ B )
=> ( parallel_lines @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( distinct_lines @ A @ B )
=> ( convergent_lines @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
thf(136,plain,
! [A: $i,B: $i] :
( ( distinct_lines @ A @ B )
=> ( convergent_lines @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(19,axiom,
! [A: $i,B: $i] :
~ ( apart_point_and_line @ A @ ( parallel_through_point @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
thf(94,plain,
! [A: $i,B: $i] :
~ ( apart_point_and_line @ A @ ( parallel_through_point @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(151,plain,
$false,
inference(e,[status(thm)],[57,60,38,97,148,44,130,63,127,143,99,55,119,83,69,138,101,88,52,125,132,116,74,134,105,49,86,113,81,76,103,91,66,108,136,94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n026.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 04:42:07 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.33/1.01 % [INFO] Parsing done (144ms).
% 1.33/1.02 % [INFO] Running in sequential loop mode.
% 1.91/1.24 % [INFO] eprover registered as external prover.
% 1.91/1.24 % [INFO] cvc4 registered as external prover.
% 1.91/1.25 % [INFO] Scanning for conjecture ...
% 1.98/1.31 % [INFO] Found a conjecture and 35 axioms. Running axiom selection ...
% 2.15/1.36 % [INFO] Axiom selection finished. Selected 35 axioms (removed 0 axioms).
% 2.27/1.40 % [INFO] Problem is first-order (TPTP FOF).
% 2.27/1.41 % [INFO] Type checking passed.
% 2.27/1.41 % [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 ...
% 4.08/2.04 % External prover 'e' found a proof!
% 4.08/2.04 % [INFO] Killing All external provers ...
% 4.08/2.04 % Time passed: 1507ms (effective reasoning time: 1014ms)
% 4.08/2.04 % 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)>
% 4.08/2.04 % Axioms used in derivation (35): par1, ouo1, ooc2, apart4, a5, ceq2, a4, ax1, oac1, orth1, ax2, a3, occu1, con1, cp2, apart3, ooc1, ceq3, ax6, cup1, ci4, couo1, int1, apart5, coipo1, ci3, apart1, ci2, cp1, ceq1, cu1, ci1, apart2, p1, cotno1
% 4.08/2.04 % No. of inferences in proof: 74
% 4.08/2.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1507 ms resp. 1014 ms w/o parsing
% 4.43/2.10 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.43/2.10 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------