%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO200+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Wed Oct 7 10:18:21 AM UTC 2026
% Result : Theorem 3.56s 0.97s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 123 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 729 ( 180 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 1257 ( 221 ~; 208 |; 9 &; 790 @)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 4 con; 0-2 aty)
% Number of variables : 276 ( 0 ^; 276 !; 0 ?; 276 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apart_point_and_line,type,
apart_point_and_line: $i > $i > $o ).
thf(tp_convergent_lines,type,
convergent_lines: $i > $i > $o ).
thf(tp_distinct_lines,type,
distinct_lines: $i > $i > $o ).
thf(tp_distinct_points,type,
distinct_points: $i > $i > $o ).
thf(tp_equal_lines,type,
equal_lines: $i > $i > $o ).
thf(tp_equal_points,type,
equal_points: $i > $i > $o ).
thf(tp_incident_point_and_line,type,
incident_point_and_line: $i > $i > $o ).
thf(tp_intersection_point,type,
intersection_point: $i > $i > $i ).
thf(tp_line,type,
line: $i > $o ).
thf(tp_line_connecting,type,
line_connecting: $i > $i > $i ).
thf(tp_orthogonal_lines,type,
orthogonal_lines: $i > $i > $o ).
thf(tp_orthogonal_through_point,type,
orthogonal_through_point: $i > $i > $i ).
thf(tp_parallel_lines,type,
parallel_lines: $i > $i > $o ).
thf(tp_parallel_through_point,type,
parallel_through_point: $i > $i > $i ).
thf(tp_point,type,
point: $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY23,type,
sK2_SY23: $i ).
thf(tp_unorthogonal_lines,type,
unorthogonal_lines: $i > $i > $o ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( equal_lines @ X @ Y )
<=> ~ ( distinct_lines @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( equal_points @ X @ Y )
<=> ~ ( distinct_points @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ( line @ ( line_connecting @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
thf(24,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( apart_point_and_line @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( apart_point_and_line @ Z @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
thf(25,axiom,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_lines @ U @ V ) )
=> ( ( apart_point_and_line @ X @ U )
| ( apart_point_and_line @ X @ V )
| ( apart_point_and_line @ Y @ U )
| ( apart_point_and_line @ Y @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
thf(28,axiom,
! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ Y @ ( line_connecting @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
thf(29,axiom,
! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ X @ ( line_connecting @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
thf(32,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( distinct_points @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
thf(35,axiom,
! [X: $i] :
~ ( distinct_points @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
thf(36,conjecture,
! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ( equal_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ Y @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(37,negated_conjecture,
( ( ! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ( equal_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ Y @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[36]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ( equal_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ Y @ X ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[37]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ( equal_lines @ X @ Y )
<=> ~ ( distinct_lines @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ( equal_points @ X @ Y )
<=> ~ ( distinct_points @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ( line @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( apart_point_and_line @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( apart_point_and_line @ Z @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_lines @ U @ V ) )
=> ( ( apart_point_and_line @ X @ U )
| ( apart_point_and_line @ X @ V )
| ( apart_point_and_line @ Y @ U )
| ( apart_point_and_line @ Y @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ Y @ ( line_connecting @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ X @ ( line_connecting @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( distinct_points @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(47,plain,
( ( ! [X: $i] :
~ ( distinct_points @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(48,plain,
( ( ! [SY23: $i] :
( ( distinct_points @ sK1_X @ SY23 )
=> ( equal_lines @ ( line_connecting @ sK1_X @ SY23 ) @ ( line_connecting @ SY23 @ sK1_X ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(49,plain,
( ( ( distinct_points @ sK1_X @ sK2_SY23 )
=> ( equal_lines @ ( line_connecting @ sK1_X @ sK2_SY23 ) @ ( line_connecting @ sK2_SY23 @ sK1_X ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(50,plain,
( ( distinct_points @ sK1_X @ sK2_SY23 )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(51,plain,
( ( equal_lines @ ( line_connecting @ sK1_X @ sK2_SY23 ) @ ( line_connecting @ sK2_SY23 @ sK1_X ) )
= $false ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(52,plain,
( ( ~ ( equal_lines @ ( line_connecting @ sK1_X @ sK2_SY23 ) @ ( line_connecting @ sK2_SY23 @ sK1_X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[51]) ).
thf(53,plain,
( ( ! [X: $i] :
~ ( distinct_points @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(54,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( distinct_points @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(55,plain,
( ( ! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ X @ ( line_connecting @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ Y @ ( line_connecting @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_lines @ U @ V ) )
=> ( ( apart_point_and_line @ X @ U )
| ( apart_point_and_line @ X @ V )
| ( apart_point_and_line @ Y @ U )
| ( apart_point_and_line @ Y @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( apart_point_and_line @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( apart_point_and_line @ Z @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ( line @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i] :
( ( equal_points @ X @ Y )
<=> ~ ( distinct_points @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i] :
( ( equal_lines @ X @ Y )
<=> ~ ( distinct_lines @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(62,plain,
( ( distinct_points @ sK1_X @ sK2_SY23 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(63,plain,
( ( ~ ( equal_lines @ ( line_connecting @ sK1_X @ sK2_SY23 ) @ ( line_connecting @ sK2_SY23 @ sK1_X ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(64,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( distinct_lines @ SX2 @ SX3 ) )
| ( apart_point_and_line @ SX0 @ SX2 )
| ( apart_point_and_line @ SX0 @ SX3 )
| ( apart_point_and_line @ SX1 @ SX2 )
| ( apart_point_and_line @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(65,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ( distinct_points @ SX0 @ SX2 )
| ( distinct_points @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(66,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( distinct_points @ SX0 @ SX2 )
| ( apart_point_and_line @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(67,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( equal_lines @ SX0 @ SX1 )
| ~ ( distinct_lines @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( distinct_lines @ SX0 @ SX1 )
| ( equal_lines @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(68,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(69,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( point @ SX0 )
| ~ ( point @ SX1 ) )
| ~ ( distinct_points @ SX0 @ SX1 ) )
| ( line @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( equal_points @ SX0 @ SX1 )
| ~ ( distinct_points @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( distinct_points @ SX0 @ SX1 )
| ( equal_points @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(71,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(72,plain,
! [SV1: $i] :
( ( ~ ( distinct_points @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(73,plain,
( ( equal_lines @ ( line_connecting @ sK1_X @ sK2_SY23 ) @ ( line_connecting @ sK2_SY23 @ sK1_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV2: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ~ ~ ( ~ ( distinct_points @ SV2 @ SY24 )
| ~ ( distinct_lines @ SY25 @ SY26 ) )
| ( apart_point_and_line @ SV2 @ SY25 )
| ( apart_point_and_line @ SV2 @ SY26 )
| ( apart_point_and_line @ SY24 @ SY25 )
| ( apart_point_and_line @ SY24 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV3: $i] :
( ( ! [SY27: $i,SY28: $i] :
( ~ ( distinct_points @ SV3 @ SY27 )
| ( distinct_points @ SV3 @ SY28 )
| ( distinct_points @ SY27 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV4: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( apart_point_and_line @ SV4 @ SY29 )
| ( distinct_points @ SV4 @ SY30 )
| ( apart_point_and_line @ SY30 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV5: $i] :
( ( ! [SY31: $i] :
~ ( ~ ( ~ ( equal_lines @ SV5 @ SY31 )
| ~ ( distinct_lines @ SV5 @ SY31 ) )
| ~ ( ~ ~ ( distinct_lines @ SV5 @ SY31 )
| ( equal_lines @ SV5 @ SY31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV6: $i] :
( ( ! [SY32: $i] :
( ~ ( distinct_points @ SV6 @ SY32 )
| ~ ( apart_point_and_line @ SY32 @ ( line_connecting @ SV6 @ SY32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV7: $i] :
( ( ! [SY33: $i] :
( ~ ~ ( ~ ~ ( ~ ( point @ SV7 )
| ~ ( point @ SY33 ) )
| ~ ( distinct_points @ SV7 @ SY33 ) )
| ( line @ ( line_connecting @ SV7 @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV8: $i] :
( ( ! [SY34: $i] :
~ ( ~ ( ~ ( equal_points @ SV8 @ SY34 )
| ~ ( distinct_points @ SV8 @ SY34 ) )
| ~ ( ~ ~ ( distinct_points @ SV8 @ SY34 )
| ( equal_points @ SV8 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV9: $i] :
( ( ! [SY35: $i] :
( ~ ( distinct_points @ SV9 @ SY35 )
| ~ ( apart_point_and_line @ SV9 @ ( line_connecting @ SV9 @ SY35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV1: $i] :
( ( distinct_points @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV10: $i,SV2: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ~ ~ ( ~ ( distinct_points @ SV2 @ SV10 )
| ~ ( distinct_lines @ SY36 @ SY37 ) )
| ( apart_point_and_line @ SV2 @ SY36 )
| ( apart_point_and_line @ SV2 @ SY37 )
| ( apart_point_and_line @ SV10 @ SY36 )
| ( apart_point_and_line @ SV10 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV11: $i,SV3: $i] :
( ( ! [SY38: $i] :
( ~ ( distinct_points @ SV3 @ SV11 )
| ( distinct_points @ SV3 @ SY38 )
| ( distinct_points @ SV11 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(85,plain,
! [SV12: $i,SV4: $i] :
( ( ! [SY39: $i] :
( ~ ( apart_point_and_line @ SV4 @ SV12 )
| ( distinct_points @ SV4 @ SY39 )
| ( apart_point_and_line @ SY39 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(86,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( equal_lines @ SV5 @ SV13 )
| ~ ( distinct_lines @ SV5 @ SV13 ) )
| ~ ( ~ ~ ( distinct_lines @ SV5 @ SV13 )
| ( equal_lines @ SV5 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(87,plain,
! [SV14: $i,SV6: $i] :
( ( ~ ( distinct_points @ SV6 @ SV14 )
| ~ ( apart_point_and_line @ SV14 @ ( line_connecting @ SV6 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV15: $i,SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( point @ SV7 )
| ~ ( point @ SV15 ) )
| ~ ( distinct_points @ SV7 @ SV15 ) )
| ( line @ ( line_connecting @ SV7 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV16: $i,SV8: $i] :
( ( ~ ( ~ ( ~ ( equal_points @ SV8 @ SV16 )
| ~ ( distinct_points @ SV8 @ SV16 ) )
| ~ ( ~ ~ ( distinct_points @ SV8 @ SV16 )
| ( equal_points @ SV8 @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV17: $i,SV9: $i] :
( ( ~ ( distinct_points @ SV9 @ SV17 )
| ~ ( apart_point_and_line @ SV9 @ ( line_connecting @ SV9 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(91,plain,
! [SV18: $i,SV10: $i,SV2: $i] :
( ( ! [SY40: $i] :
( ~ ~ ( ~ ( distinct_points @ SV2 @ SV10 )
| ~ ( distinct_lines @ SV18 @ SY40 ) )
| ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SY40 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV19: $i,SV11: $i,SV3: $i] :
( ( ~ ( distinct_points @ SV3 @ SV11 )
| ( distinct_points @ SV3 @ SV19 )
| ( distinct_points @ SV11 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ~ ( apart_point_and_line @ SV4 @ SV12 )
| ( distinct_points @ SV4 @ SV20 )
| ( apart_point_and_line @ SV20 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(94,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ~ ( equal_lines @ SV5 @ SV13 )
| ~ ( distinct_lines @ SV5 @ SV13 ) )
| ~ ( ~ ~ ( distinct_lines @ SV5 @ SV13 )
| ( equal_lines @ SV5 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(95,plain,
! [SV14: $i,SV6: $i] :
( ( ( ~ ( distinct_points @ SV6 @ SV14 ) )
= $true )
| ( ( ~ ( apart_point_and_line @ SV14 @ ( line_connecting @ SV6 @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(96,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( point @ SV7 )
| ~ ( point @ SV15 ) )
| ~ ( distinct_points @ SV7 @ SV15 ) ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV16: $i,SV8: $i] :
( ( ~ ( ~ ( equal_points @ SV8 @ SV16 )
| ~ ( distinct_points @ SV8 @ SV16 ) )
| ~ ( ~ ~ ( distinct_points @ SV8 @ SV16 )
| ( equal_points @ SV8 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV17: $i,SV9: $i] :
( ( ( ~ ( distinct_points @ SV9 @ SV17 ) )
= $true )
| ( ( ~ ( apart_point_and_line @ SV9 @ ( line_connecting @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(99,plain,
! [SV21: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ~ ( ~ ( distinct_points @ SV2 @ SV10 )
| ~ ( distinct_lines @ SV18 @ SV21 ) )
| ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV19: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( distinct_points @ SV3 @ SV11 ) )
= $true )
| ( ( ( distinct_points @ SV3 @ SV19 )
| ( distinct_points @ SV11 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( apart_point_and_line @ SV4 @ SV12 ) )
= $true )
| ( ( ( distinct_points @ SV4 @ SV20 )
| ( apart_point_and_line @ SV20 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ~ ( equal_lines @ SV5 @ SV13 )
| ~ ( distinct_lines @ SV5 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( ~ ~ ( distinct_lines @ SV5 @ SV13 )
| ( equal_lines @ SV5 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(104,plain,
! [SV14: $i,SV6: $i] :
( ( ( distinct_points @ SV6 @ SV14 )
= $false )
| ( ( ~ ( apart_point_and_line @ SV14 @ ( line_connecting @ SV6 @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( point @ SV7 )
| ~ ( point @ SV15 ) )
| ~ ( distinct_points @ SV7 @ SV15 ) ) )
= $false )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV16: $i,SV8: $i] :
( ( ~ ( ~ ( equal_points @ SV8 @ SV16 )
| ~ ( distinct_points @ SV8 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(107,plain,
! [SV16: $i,SV8: $i] :
( ( ~ ( ~ ~ ( distinct_points @ SV8 @ SV16 )
| ( equal_points @ SV8 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(108,plain,
! [SV17: $i,SV9: $i] :
( ( ( distinct_points @ SV9 @ SV17 )
= $false )
| ( ( ~ ( apart_point_and_line @ SV9 @ ( line_connecting @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(109,plain,
! [SV21: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( distinct_points @ SV2 @ SV10 )
| ~ ( distinct_lines @ SV18 @ SV21 ) ) )
= $true )
| ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(110,plain,
! [SV19: $i,SV11: $i,SV3: $i] :
( ( ( distinct_points @ SV3 @ SV11 )
= $false )
| ( ( ( distinct_points @ SV3 @ SV19 )
| ( distinct_points @ SV11 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ( apart_point_and_line @ SV4 @ SV12 )
= $false )
| ( ( ( distinct_points @ SV4 @ SV20 )
| ( apart_point_and_line @ SV20 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( equal_lines @ SV5 @ SV13 )
| ~ ( distinct_lines @ SV5 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(113,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ~ ( distinct_lines @ SV5 @ SV13 )
| ( equal_lines @ SV5 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(114,plain,
! [SV6: $i,SV14: $i] :
( ( ( apart_point_and_line @ SV14 @ ( line_connecting @ SV6 @ SV14 ) )
= $false )
| ( ( distinct_points @ SV6 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( point @ SV7 )
| ~ ( point @ SV15 ) )
| ~ ( distinct_points @ SV7 @ SV15 ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(116,plain,
! [SV16: $i,SV8: $i] :
( ( ~ ( equal_points @ SV8 @ SV16 )
| ~ ( distinct_points @ SV8 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(117,plain,
! [SV16: $i,SV8: $i] :
( ( ~ ~ ( distinct_points @ SV8 @ SV16 )
| ( equal_points @ SV8 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(118,plain,
! [SV17: $i,SV9: $i] :
( ( ( apart_point_and_line @ SV9 @ ( line_connecting @ SV9 @ SV17 ) )
= $false )
| ( ( distinct_points @ SV9 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(119,plain,
! [SV21: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ~ ( distinct_points @ SV2 @ SV10 )
| ~ ( distinct_lines @ SV18 @ SV21 ) ) )
= $false )
| ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(120,plain,
! [SV11: $i,SV19: $i,SV3: $i] :
( ( ( distinct_points @ SV3 @ SV19 )
= $true )
| ( ( distinct_points @ SV11 @ SV19 )
= $true )
| ( ( distinct_points @ SV3 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV12: $i,SV20: $i,SV4: $i] :
( ( ( distinct_points @ SV4 @ SV20 )
= $true )
| ( ( apart_point_and_line @ SV20 @ SV12 )
= $true )
| ( ( apart_point_and_line @ SV4 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(122,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( equal_lines @ SV5 @ SV13 ) )
= $true )
| ( ( ~ ( distinct_lines @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(123,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ~ ( distinct_lines @ SV5 @ SV13 ) )
= $true )
| ( ( equal_lines @ SV5 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(124,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( point @ SV7 )
| ~ ( point @ SV15 ) ) )
= $true )
| ( ( ~ ( distinct_points @ SV7 @ SV15 ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(125,plain,
! [SV16: $i,SV8: $i] :
( ( ( ~ ( equal_points @ SV8 @ SV16 ) )
= $true )
| ( ( ~ ( distinct_points @ SV8 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(126,plain,
! [SV16: $i,SV8: $i] :
( ( ( ~ ~ ( distinct_points @ SV8 @ SV16 ) )
= $true )
| ( ( equal_points @ SV8 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(127,plain,
! [SV21: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( distinct_points @ SV2 @ SV10 )
| ~ ( distinct_lines @ SV18 @ SV21 ) )
= $true )
| ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(128,plain,
! [SV13: $i,SV5: $i] :
( ( ( equal_lines @ SV5 @ SV13 )
= $false )
| ( ( ~ ( distinct_lines @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( distinct_lines @ SV5 @ SV13 ) )
= $false )
| ( ( equal_lines @ SV5 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(130,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ( ~ ( point @ SV7 )
| ~ ( point @ SV15 ) ) )
= $false )
| ( ( ~ ( distinct_points @ SV7 @ SV15 ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(131,plain,
! [SV16: $i,SV8: $i] :
( ( ( equal_points @ SV8 @ SV16 )
= $false )
| ( ( ~ ( distinct_points @ SV8 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV16: $i,SV8: $i] :
( ( ( ~ ( distinct_points @ SV8 @ SV16 ) )
= $false )
| ( ( equal_points @ SV8 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV21: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( distinct_points @ SV2 @ SV10 ) )
= $true )
| ( ( ~ ( distinct_lines @ SV18 @ SV21 ) )
= $true )
| ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV13: $i,SV5: $i] :
( ( ( distinct_lines @ SV5 @ SV13 )
= $false )
| ( ( equal_lines @ SV5 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV13: $i,SV5: $i] :
( ( ( distinct_lines @ SV5 @ SV13 )
= $true )
| ( ( equal_lines @ SV5 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(136,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ( point @ SV7 )
| ~ ( point @ SV15 ) )
= $true )
| ( ( ~ ( distinct_points @ SV7 @ SV15 ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(137,plain,
! [SV16: $i,SV8: $i] :
( ( ( distinct_points @ SV8 @ SV16 )
= $false )
| ( ( equal_points @ SV8 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(138,plain,
! [SV16: $i,SV8: $i] :
( ( ( distinct_points @ SV8 @ SV16 )
= $true )
| ( ( equal_points @ SV8 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(139,plain,
! [SV21: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( distinct_points @ SV2 @ SV10 )
= $false )
| ( ( ~ ( distinct_lines @ SV18 @ SV21 ) )
= $true )
| ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(140,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ( point @ SV7 ) )
= $true )
| ( ( ~ ( point @ SV15 ) )
= $true )
| ( ( ~ ( distinct_points @ SV7 @ SV15 ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(141,plain,
! [SV10: $i,SV2: $i,SV21: $i,SV18: $i] :
( ( ( distinct_lines @ SV18 @ SV21 )
= $false )
| ( ( distinct_points @ SV2 @ SV10 )
= $false )
| ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 )
| ( apart_point_and_line @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(142,plain,
! [SV15: $i,SV7: $i] :
( ( ( point @ SV7 )
= $false )
| ( ( ~ ( point @ SV15 ) )
= $true )
| ( ( ~ ( distinct_points @ SV7 @ SV15 ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(143,plain,
! [SV10: $i,SV21: $i,SV18: $i,SV2: $i] :
( ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 )
| ( apart_point_and_line @ SV10 @ SV18 ) )
= $true )
| ( ( apart_point_and_line @ SV10 @ SV21 )
= $true )
| ( ( distinct_points @ SV2 @ SV10 )
= $false )
| ( ( distinct_lines @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(144,plain,
! [SV7: $i,SV15: $i] :
( ( ( point @ SV15 )
= $false )
| ( ( point @ SV7 )
= $false )
| ( ( ~ ( distinct_points @ SV7 @ SV15 ) )
= $true )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(145,plain,
! [SV10: $i,SV21: $i,SV18: $i,SV2: $i] :
( ( ( ( apart_point_and_line @ SV2 @ SV18 )
| ( apart_point_and_line @ SV2 @ SV21 ) )
= $true )
| ( ( apart_point_and_line @ SV10 @ SV18 )
= $true )
| ( ( apart_point_and_line @ SV10 @ SV21 )
= $true )
| ( ( distinct_points @ SV2 @ SV10 )
= $false )
| ( ( distinct_lines @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(146,plain,
! [SV15: $i,SV7: $i] :
( ( ( distinct_points @ SV7 @ SV15 )
= $false )
| ( ( point @ SV7 )
= $false )
| ( ( point @ SV15 )
= $false )
| ( ( line @ ( line_connecting @ SV7 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(147,plain,
! [SV10: $i,SV21: $i,SV18: $i,SV2: $i] :
( ( ( apart_point_and_line @ SV2 @ SV18 )
= $true )
| ( ( apart_point_and_line @ SV2 @ SV21 )
= $true )
| ( ( apart_point_and_line @ SV10 @ SV18 )
= $true )
| ( ( apart_point_and_line @ SV10 @ SV21 )
= $true )
| ( ( distinct_points @ SV2 @ SV10 )
= $false )
| ( ( distinct_lines @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(148,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[62,147,146,138,137,135,134,121,120,118,114,82,73]) ).
thf(149,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO200+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n007.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 10:05:45 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.56/0.97
% 3.56/0.97 No.of.Axioms: 9
% 3.56/0.97
% 3.56/0.97 Length.of.Defs: 0
% 3.56/0.97
% 3.56/0.97 Contains.Choice.Funs: false
% 3.56/0.97 ...
% 3.56/0.97
% 3.56/0.97 ********************************
% 3.56/0.97 * All subproblems solved! *
% 3.56/0.97 ********************************
% 3.56/0.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:148,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.56/0.97
% 3.56/0.97 %**** Beginning of derivation protocol ****
% 3.56/0.97 % SZS output start CNFRefutation
% See solution above
% 3.56/0.97
% 3.56/0.97 %**** End of derivation protocol ****
% 3.56/0.97 %**** no. of clauses in derivation: 123 ****
% 3.56/0.97 %**** clause counter: 148 ****
% 3.56/0.97
% 3.56/0.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:148,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------