%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO256+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/sandbox/solver/bin/eprover /export/starexec/sandbox/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 10:18:42 AM UTC 2026
% Result : Theorem 0.48s 0.27s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 102 ( 61 unt; 0 typ; 0 def)
% Number of atoms : 670 ( 155 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 1496 ( 227 ~; 203 |; 30 &;1011 @)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 27 usr; 7 con; 0-4 aty)
% Number of variables : 278 ( 0 ^; 278 !; 0 ?; 278 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apart_point_and_line,type,
apart_point_and_line: $i > $i > $o ).
thf(tp_before_on_line,type,
before_on_line: $i > $i > $i > $o ).
thf(tp_between_on_line,type,
between_on_line: $i > $i > $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_divides_points,type,
divides_points: $i > $i > $i > $o ).
thf(tp_equally_directed_lines,type,
equally_directed_lines: $i > $i > $o ).
thf(tp_equally_directed_opposite_lines,type,
equally_directed_opposite_lines: $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_left_apart_point,type,
left_apart_point: $i > $i > $o ).
thf(tp_left_convergent_lines,type,
left_convergent_lines: $i > $i > $o ).
thf(tp_line,type,
line: $i > $o ).
thf(tp_line_connecting,type,
line_connecting: $i > $i > $i ).
thf(tp_parallel_through_point,type,
parallel_through_point: $i > $i > $i ).
thf(tp_point,type,
point: $i > $o ).
thf(tp_reverse_line,type,
reverse_line: $i > $i ).
thf(tp_right_apart_point,type,
right_apart_point: $i > $i > $o ).
thf(tp_right_convergent_lines,type,
right_convergent_lines: $i > $i > $o ).
thf(tp_sK1_L,type,
sK1_L: $i ).
thf(tp_sK2_SY18,type,
sK2_SY18: $i ).
thf(tp_sK3_SY22,type,
sK3_SY22: $i ).
thf(tp_sK4_SY25,type,
sK4_SY25: $i ).
thf(tp_sK5_SY27,type,
sK5_SY27: $i ).
thf(tp_unequally_directed_lines,type,
unequally_directed_lines: $i > $i > $o ).
thf(tp_unequally_directed_opposite_lines,type,
unequally_directed_opposite_lines: $i > $i > $o ).
thf(3,axiom,
! [A: $i,B: $i,L: $i] :
( ( left_apart_point @ A @ L )
=> ( ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_subs) ).
thf(17,axiom,
! [A: $i,L: $i] :
~ ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
thf(25,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',ax2_basics) ).
thf(26,axiom,
! [A: $i] :
~ ( distinct_points @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_basics) ).
thf(27,axiom,
! [L: $i,A: $i,B: $i,C: $i] :
( ( between_on_line @ L @ A @ B @ C )
<=> ( ( ( before_on_line @ L @ A @ B )
& ( before_on_line @ L @ B @ C ) )
| ( ( before_on_line @ L @ C @ B )
& ( before_on_line @ L @ B @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_defns) ).
thf(37,conjecture,
! [L: $i,A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ C )
& ( distinct_points @ B @ C )
& ( incident_point_and_line @ C @ L )
& ( left_apart_point @ D @ L ) )
=> ( ( before_on_line @ L @ A @ B )
=> ( ( before_on_line @ L @ A @ C )
| ( before_on_line @ L @ C @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(38,negated_conjecture,
( ( ! [L: $i,A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ C )
& ( distinct_points @ B @ C )
& ( incident_point_and_line @ C @ L )
& ( left_apart_point @ D @ L ) )
=> ( ( before_on_line @ L @ A @ B )
=> ( ( before_on_line @ L @ A @ C )
| ( before_on_line @ L @ C @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[37]) ).
thf(39,plain,
( ( ! [L: $i,A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ C )
& ( distinct_points @ B @ C )
& ( incident_point_and_line @ C @ L )
& ( left_apart_point @ D @ L ) )
=> ( ( before_on_line @ L @ A @ B )
=> ( ( before_on_line @ L @ A @ C )
| ( before_on_line @ L @ C @ B ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[38]) ).
thf(40,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ( left_apart_point @ A @ L )
=> ( ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(41,plain,
( ( ! [A: $i,L: $i] :
~ ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(42,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( distinct_points @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(43,plain,
( ( ! [A: $i] :
~ ( distinct_points @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(44,plain,
( ( ! [L: $i,A: $i,B: $i,C: $i] :
( ( between_on_line @ L @ A @ B @ C )
<=> ( ( ( before_on_line @ L @ A @ B )
& ( before_on_line @ L @ B @ C ) )
| ( ( before_on_line @ L @ C @ B )
& ( before_on_line @ L @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(45,plain,
( ( ! [SY18: $i,SY19: $i,SY20: $i,SY21: $i] :
( ( ( distinct_points @ SY18 @ SY20 )
& ( distinct_points @ SY19 @ SY20 )
& ( incident_point_and_line @ SY20 @ sK1_L )
& ( left_apart_point @ SY21 @ sK1_L ) )
=> ( ( before_on_line @ sK1_L @ SY18 @ SY19 )
=> ( ( before_on_line @ sK1_L @ SY18 @ SY20 )
| ( before_on_line @ sK1_L @ SY20 @ SY19 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(46,plain,
( ( ! [SY22: $i,SY23: $i,SY24: $i] :
( ( ( distinct_points @ sK2_SY18 @ SY23 )
& ( distinct_points @ SY22 @ SY23 )
& ( incident_point_and_line @ SY23 @ sK1_L )
& ( left_apart_point @ SY24 @ sK1_L ) )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ SY22 )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ SY23 )
| ( before_on_line @ sK1_L @ SY23 @ SY22 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(47,plain,
( ( ! [SY25: $i,SY26: $i] :
( ( ( distinct_points @ sK2_SY18 @ SY25 )
& ( distinct_points @ sK3_SY22 @ SY25 )
& ( incident_point_and_line @ SY25 @ sK1_L )
& ( left_apart_point @ SY26 @ sK1_L ) )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK3_SY22 )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ SY25 )
| ( before_on_line @ sK1_L @ SY25 @ sK3_SY22 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(48,plain,
( ( ! [SY27: $i] :
( ( ( distinct_points @ sK2_SY18 @ sK4_SY25 )
& ( distinct_points @ sK3_SY22 @ sK4_SY25 )
& ( incident_point_and_line @ sK4_SY25 @ sK1_L )
& ( left_apart_point @ SY27 @ sK1_L ) )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK3_SY22 )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK4_SY25 )
| ( before_on_line @ sK1_L @ sK4_SY25 @ sK3_SY22 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[47]) ).
thf(49,plain,
( ( ( ( distinct_points @ sK2_SY18 @ sK4_SY25 )
& ( distinct_points @ sK3_SY22 @ sK4_SY25 )
& ( incident_point_and_line @ sK4_SY25 @ sK1_L )
& ( left_apart_point @ sK5_SY27 @ sK1_L ) )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK3_SY22 )
=> ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK4_SY25 )
| ( before_on_line @ sK1_L @ sK4_SY25 @ sK3_SY22 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(50,plain,
( ( distinct_points @ sK2_SY18 @ sK4_SY25 )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(51,plain,
( ( distinct_points @ sK3_SY22 @ sK4_SY25 )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(52,plain,
( ( incident_point_and_line @ sK4_SY25 @ sK1_L )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(53,plain,
( ( left_apart_point @ sK5_SY27 @ sK1_L )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(54,plain,
( ( before_on_line @ sK1_L @ sK2_SY18 @ sK3_SY22 )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(55,plain,
( ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK4_SY25 )
| ( before_on_line @ sK1_L @ sK4_SY25 @ sK3_SY22 ) )
= $false ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(56,plain,
( ( ~ ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK4_SY25 )
| ( before_on_line @ sK1_L @ sK4_SY25 @ sK3_SY22 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[55]) ).
thf(57,plain,
( ( ! [L: $i,A: $i,B: $i,C: $i] :
( ( between_on_line @ L @ A @ B @ C )
<=> ( ( ( before_on_line @ L @ A @ B )
& ( before_on_line @ L @ B @ C ) )
| ( ( before_on_line @ L @ C @ B )
& ( before_on_line @ L @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(58,plain,
( ( ! [A: $i] :
~ ( distinct_points @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( distinct_points @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(60,plain,
( ( ! [A: $i,L: $i] :
~ ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ( left_apart_point @ A @ L )
=> ( ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(62,plain,
( ( before_on_line @ sK1_L @ sK2_SY18 @ sK3_SY22 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(63,plain,
( ( left_apart_point @ sK5_SY27 @ sK1_L )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(64,plain,
( ( incident_point_and_line @ sK4_SY25 @ sK1_L )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(65,plain,
( ( distinct_points @ sK3_SY22 @ sK4_SY25 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(66,plain,
( ( distinct_points @ sK2_SY18 @ sK4_SY25 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(67,plain,
( ( ~ ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK4_SY25 )
| ( before_on_line @ sK1_L @ sK4_SY25 @ sK3_SY22 ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(68,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( left_apart_point @ SX0 @ SX2 )
| ( distinct_points @ SX0 @ SX1 )
| ( left_apart_point @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(69,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)],[59]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX3 ) )
| ~ ( ~ ( before_on_line @ SX0 @ SX3 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX1 ) ) )
| ~ ( ~ ( ~ ( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX3 ) )
| ~ ( ~ ( before_on_line @ SX0 @ SX3 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX1 ) ) )
| ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(71,plain,
! [SV1: $i] :
( ( ~ ( distinct_points @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(72,plain,
! [SV2: $i] :
( ( ! [SY28: $i] :
~ ( ( left_apart_point @ SV2 @ SY28 )
| ( left_apart_point @ SV2 @ ( reverse_line @ SY28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(73,plain,
( ( ( before_on_line @ sK1_L @ sK2_SY18 @ sK4_SY25 )
| ( before_on_line @ sK1_L @ sK4_SY25 @ sK3_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV3: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( left_apart_point @ SV3 @ SY30 )
| ( distinct_points @ SV3 @ SY29 )
| ( left_apart_point @ SY29 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(75,plain,
! [SV4: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ~ ( distinct_points @ SV4 @ SY31 )
| ( distinct_points @ SV4 @ SY32 )
| ( distinct_points @ SY31 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV5: $i] :
( ( ! [SY33: $i,SY34: $i,SY35: $i] :
~ ( ~ ( ~ ( between_on_line @ SV5 @ SY33 @ SY34 @ SY35 )
| ~ ( ~ ( before_on_line @ SV5 @ SY33 @ SY34 )
| ~ ( before_on_line @ SV5 @ SY34 @ SY35 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SY35 @ SY34 )
| ~ ( before_on_line @ SV5 @ SY34 @ SY33 ) ) )
| ~ ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SY33 @ SY34 )
| ~ ( before_on_line @ SV5 @ SY34 @ SY35 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SY35 @ SY34 )
| ~ ( before_on_line @ SV5 @ SY34 @ SY33 ) ) )
| ( between_on_line @ SV5 @ SY33 @ SY34 @ SY35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV1: $i] :
( ( distinct_points @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( ( left_apart_point @ SV2 @ SV6 )
| ( left_apart_point @ SV2 @ ( reverse_line @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(79,plain,
( ( before_on_line @ sK1_L @ sK2_SY18 @ sK4_SY25 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(80,plain,
( ( before_on_line @ sK1_L @ sK4_SY25 @ sK3_SY22 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(81,plain,
! [SV7: $i,SV3: $i] :
( ( ! [SY36: $i] :
( ~ ( left_apart_point @ SV3 @ SY36 )
| ( distinct_points @ SV3 @ SV7 )
| ( left_apart_point @ SV7 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV8: $i,SV4: $i] :
( ( ! [SY37: $i] :
( ~ ( distinct_points @ SV4 @ SV8 )
| ( distinct_points @ SV4 @ SY37 )
| ( distinct_points @ SV8 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV9: $i,SV5: $i] :
( ( ! [SY38: $i,SY39: $i] :
~ ( ~ ( ~ ( between_on_line @ SV5 @ SV9 @ SY38 @ SY39 )
| ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SY38 )
| ~ ( before_on_line @ SV5 @ SY38 @ SY39 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SY39 @ SY38 )
| ~ ( before_on_line @ SV5 @ SY38 @ SV9 ) ) )
| ~ ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SY38 )
| ~ ( before_on_line @ SV5 @ SY38 @ SY39 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SY39 @ SY38 )
| ~ ( before_on_line @ SV5 @ SY38 @ SV9 ) ) )
| ( between_on_line @ SV5 @ SV9 @ SY38 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(84,plain,
! [SV6: $i,SV2: $i] :
( ( ( left_apart_point @ SV2 @ SV6 )
| ( left_apart_point @ SV2 @ ( reverse_line @ SV6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV7: $i,SV10: $i,SV3: $i] :
( ( ~ ( left_apart_point @ SV3 @ SV10 )
| ( distinct_points @ SV3 @ SV7 )
| ( left_apart_point @ SV7 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV11: $i,SV8: $i,SV4: $i] :
( ( ~ ( distinct_points @ SV4 @ SV8 )
| ( distinct_points @ SV4 @ SV11 )
| ( distinct_points @ SV8 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(87,plain,
! [SV12: $i,SV9: $i,SV5: $i] :
( ( ! [SY40: $i] :
~ ( ~ ( ~ ( between_on_line @ SV5 @ SV9 @ SV12 @ SY40 )
| ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SY40 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SY40 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ~ ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SY40 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SY40 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ( between_on_line @ SV5 @ SV9 @ SV12 @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV6: $i,SV2: $i] :
( ( left_apart_point @ SV2 @ SV6 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(89,plain,
! [SV6: $i,SV2: $i] :
( ( left_apart_point @ SV2 @ ( reverse_line @ SV6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV7: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( left_apart_point @ SV3 @ SV10 ) )
= $true )
| ( ( ( distinct_points @ SV3 @ SV7 )
| ( left_apart_point @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV11: $i,SV8: $i,SV4: $i] :
( ( ( ~ ( distinct_points @ SV4 @ SV8 ) )
= $true )
| ( ( ( distinct_points @ SV4 @ SV11 )
| ( distinct_points @ SV8 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
| ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ~ ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV7: $i,SV10: $i,SV3: $i] :
( ( ( left_apart_point @ SV3 @ SV10 )
= $false )
| ( ( ( distinct_points @ SV3 @ SV7 )
| ( left_apart_point @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV11: $i,SV8: $i,SV4: $i] :
( ( ( distinct_points @ SV4 @ SV8 )
= $false )
| ( ( ( distinct_points @ SV4 @ SV11 )
| ( distinct_points @ SV8 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ~ ( ~ ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
| ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ~ ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV10: $i,SV7: $i,SV3: $i] :
( ( ( distinct_points @ SV3 @ SV7 )
= $true )
| ( ( left_apart_point @ SV7 @ SV10 )
= $true )
| ( ( left_apart_point @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV8: $i,SV11: $i,SV4: $i] :
( ( ( distinct_points @ SV4 @ SV11 )
= $true )
| ( ( distinct_points @ SV8 @ SV11 )
= $true )
| ( ( distinct_points @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(98,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ~ ( ~ ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
| ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(99,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(100,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ~ ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
| ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(101,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
| ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(102,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(103,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(104,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(105,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
| ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $false )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(106,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(107,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) ) )
= $false )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(108,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $false )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(109,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(111,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(112,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(113,plain,
! [SV9: $i,SV13: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(114,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 ) )
= $true )
| ( ( ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(116,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $true )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(117,plain,
! [SV9: $i,SV13: $i,SV12: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV12 @ SV13 )
= $true )
| ( ( ~ ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(118,plain,
! [SV13: $i,SV12: $i,SV9: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $false )
| ( ( ~ ( before_on_line @ SV5 @ SV12 @ SV13 ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(119,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV13 @ SV12 )
= $false )
| ( ( ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) )
= $false )
| ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(121,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 )
| ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) )
= $false )
| ( ( before_on_line @ SV5 @ SV12 @ SV13 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(122,plain,
! [SV9: $i,SV13: $i,SV12: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV12 @ SV13 )
= $false )
| ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $false )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(123,plain,
! [SV13: $i,SV9: $i,SV12: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV12 @ SV9 )
= $false )
| ( ( before_on_line @ SV5 @ SV13 @ SV12 )
= $false )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(124,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 ) )
= $false )
| ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(125,plain,
! [SV13: $i,SV9: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) )
= $false )
| ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(126,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV13 @ SV12 ) )
= $false )
| ( ( before_on_line @ SV5 @ SV12 @ SV13 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(127,plain,
! [SV13: $i,SV9: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( before_on_line @ SV5 @ SV12 @ SV9 ) )
= $false )
| ( ( before_on_line @ SV5 @ SV12 @ SV13 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(128,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV13 @ SV12 )
= $true )
| ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(129,plain,
! [SV13: $i,SV9: $i,SV12: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV12 @ SV9 )
= $true )
| ( ( before_on_line @ SV5 @ SV9 @ SV12 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV9: $i,SV12: $i,SV13: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV13 @ SV12 )
= $true )
| ( ( before_on_line @ SV5 @ SV12 @ SV13 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(131,plain,
! [SV13: $i,SV9: $i,SV12: $i,SV5: $i] :
( ( ( before_on_line @ SV5 @ SV12 @ SV9 )
= $true )
| ( ( before_on_line @ SV5 @ SV12 @ SV13 )
= $true )
| ( ( between_on_line @ SV5 @ SV9 @ SV12 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(132,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[62,131,130,129,128,123,122,97,96,89,88,80,79,77,66,65,64,63]) ).
thf(133,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO256+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 10:11:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.27
% 0.48/0.27 No.of.Axioms: 5
% 0.48/0.27
% 0.48/0.27 Length.of.Defs: 0
% 0.48/0.27
% 0.48/0.27 Contains.Choice.Funs: false
% 0.48/0.27 ...
% 0.48/0.27
% 0.48/0.27 ********************************
% 0.48/0.27 * All subproblems solved! *
% 0.48/0.27 ********************************
% 0.48/0.27 % SZS status Theorem for /export/starexec/sandbox/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:132,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.48/0.27
% 0.48/0.27 %**** Beginning of derivation protocol ****
% 0.48/0.27 % SZS output start CNFRefutation
% See solution above
% 0.48/0.27
% 0.48/0.27 %**** End of derivation protocol ****
% 0.48/0.27 %**** no. of clauses in derivation: 102 ****
% 0.48/0.27 %**** clause counter: 132 ****
% 0.48/0.27
% 0.48/0.27 % SZS status Theorem for /export/starexec/sandbox/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:132,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------