%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO011-5 : TPTP v9.3.1. Released v1.0.0.
% 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 : n018.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 10:17:31 AM UTC 2026
% Result : Unsatisfiable 0.39s 0.28s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 152 ( 103 unt; 0 typ; 0 def)
% Number of atoms : 897 ( 256 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 2488 ( 216 ~; 311 |; 0 &;1961 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 596 ( 0 ^; 596 !; 0 ?; 596 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_between,type,
between: $i > $i > $i > $o ).
thf(tp_colinear,type,
colinear: $i > $i > $i > $o ).
thf(tp_distance,type,
distance: $i > $i > $i ).
thf(tp_equal_distance,type,
equal_distance: $i > $i > $o ).
thf(tp_extension,type,
extension: $i > $i > $i > $i > $i ).
thf(tp_inner_pasch,type,
inner_pasch: $i > $i > $i > $i > $i > $i ).
thf(tp_lower_dimension_point_1,type,
lower_dimension_point_1: $i ).
thf(tp_lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
thf(tp_lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
thf(1,axiom,
~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
thf(2,axiom,
~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
thf(3,axiom,
~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
thf(4,axiom,
! [U: $i,V: $i,W: $i,Y: $i,X: $i] :
( ~ ( between @ U @ V @ W )
| ~ ( between @ Y @ X @ W )
| ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
thf(5,axiom,
! [U: $i,V: $i,W: $i,Y: $i,X: $i] :
( ~ ( between @ U @ V @ W )
| ~ ( between @ Y @ X @ W )
| ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ~ ( between @ X @ Y @ X )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
thf(7,axiom,
! [X: $i,Y: $i,X1: $i,Y1: $i,Z: $i,Z1: $i,V: $i,V1: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ X1 @ Y1 ) )
| ~ ( equal_distance @ ( distance @ Y @ Z ) @ ( distance @ Y1 @ Z1 ) )
| ~ ( equal_distance @ ( distance @ X @ V ) @ ( distance @ X1 @ V1 ) )
| ~ ( equal_distance @ ( distance @ Y @ V ) @ ( distance @ Y1 @ V1 ) )
| ~ ( between @ X @ Y @ Z )
| ~ ( between @ X1 @ Y1 @ Z1 )
| ( X = Y )
| ( equal_distance @ ( distance @ Z @ V ) @ ( distance @ Z1 @ V1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
thf(8,axiom,
! [Y: $i,X: $i,W: $i,V: $i] : ( equal_distance @ ( distance @ Y @ ( extension @ X @ Y @ W @ V ) ) @ ( distance @ W @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
thf(9,axiom,
! [X: $i,Y: $i,W: $i,V: $i] : ( between @ X @ Y @ ( extension @ X @ Y @ W @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
thf(10,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Z @ Z ) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
thf(11,axiom,
! [X: $i,Y: $i,Z: $i,V: $i,V2: $i,W: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Z @ V ) )
| ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ V2 @ W ) )
| ( equal_distance @ ( distance @ Z @ V ) @ ( distance @ V2 @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
thf(12,axiom,
! [X: $i,Y: $i] : ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
thf(13,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( colinear @ X @ Y @ Z )
| ( between @ X @ Y @ Z )
| ( between @ Y @ Z @ X )
| ( between @ Z @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity4) ).
thf(14,axiom,
! [Z: $i,X: $i,Y: $i] :
( ~ ( between @ Z @ X @ Y )
| ( colinear @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity3) ).
thf(15,axiom,
! [Y: $i,Z: $i,X: $i] :
( ~ ( between @ Y @ Z @ X )
| ( colinear @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity2) ).
thf(16,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( between @ X @ Y @ Z )
| ( colinear @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).
thf(17,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(18,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[17]) ).
thf(19,negated_conjecture,
colinear @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
thf(20,plain,
$false = $false,
inference(unfold_def,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( ~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [U: $i,V: $i,W: $i,Y: $i,X: $i] :
( ~ ( between @ U @ V @ W )
| ~ ( between @ Y @ X @ W )
| ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [U: $i,V: $i,W: $i,Y: $i,X: $i] :
( ~ ( between @ U @ V @ W )
| ~ ( between @ Y @ X @ W )
| ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( between @ X @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,X1: $i,Y1: $i,Z: $i,Z1: $i,V: $i,V1: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ X1 @ Y1 ) )
| ~ ( equal_distance @ ( distance @ Y @ Z ) @ ( distance @ Y1 @ Z1 ) )
| ~ ( equal_distance @ ( distance @ X @ V ) @ ( distance @ X1 @ V1 ) )
| ~ ( equal_distance @ ( distance @ Y @ V ) @ ( distance @ Y1 @ V1 ) )
| ~ ( between @ X @ Y @ Z )
| ~ ( between @ X1 @ Y1 @ Z1 )
| ( X = Y )
| ( equal_distance @ ( distance @ Z @ V ) @ ( distance @ Z1 @ V1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [Y: $i,X: $i,W: $i,V: $i] : ( equal_distance @ ( distance @ Y @ ( extension @ X @ Y @ W @ V ) ) @ ( distance @ W @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i,W: $i,V: $i] : ( between @ X @ Y @ ( extension @ X @ Y @ W @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Z @ Z ) )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i,Z: $i,V: $i,V2: $i,W: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Z @ V ) )
| ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ V2 @ W ) )
| ( equal_distance @ ( distance @ Z @ V ) @ ( distance @ V2 @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] : ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( colinear @ X @ Y @ Z )
| ( between @ X @ Y @ Z )
| ( between @ Y @ Z @ X )
| ( between @ Z @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [Z: $i,X: $i,Y: $i] :
( ~ ( between @ Z @ X @ Y )
| ( colinear @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ! [Y: $i,Z: $i,X: $i] :
( ~ ( between @ Y @ Z @ X )
| ( colinear @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(36,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( between @ X @ Y @ Z )
| ( colinear @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(37,plain,
( ( colinear @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(38,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(39,plain,
( ( colinear @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( between @ X @ Y @ Z )
| ( colinear @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(41,plain,
( ( ! [Y: $i,Z: $i,X: $i] :
( ~ ( between @ Y @ Z @ X )
| ( colinear @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(42,plain,
( ( ! [Z: $i,X: $i,Y: $i] :
( ~ ( between @ Z @ X @ Y )
| ( colinear @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( colinear @ X @ Y @ Z )
| ( between @ X @ Y @ Z )
| ( between @ Y @ Z @ X )
| ( between @ Z @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] : ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i,Z: $i,V: $i,V2: $i,W: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Z @ V ) )
| ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ V2 @ W ) )
| ( equal_distance @ ( distance @ Z @ V ) @ ( distance @ V2 @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ Z @ Z ) )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i,W: $i,V: $i] : ( between @ X @ Y @ ( extension @ X @ Y @ W @ V ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(48,plain,
( ( ! [Y: $i,X: $i,W: $i,V: $i] : ( equal_distance @ ( distance @ Y @ ( extension @ X @ Y @ W @ V ) ) @ ( distance @ W @ V ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i,X1: $i,Y1: $i,Z: $i,Z1: $i,V: $i,V1: $i] :
( ~ ( equal_distance @ ( distance @ X @ Y ) @ ( distance @ X1 @ Y1 ) )
| ~ ( equal_distance @ ( distance @ Y @ Z ) @ ( distance @ Y1 @ Z1 ) )
| ~ ( equal_distance @ ( distance @ X @ V ) @ ( distance @ X1 @ V1 ) )
| ~ ( equal_distance @ ( distance @ Y @ V ) @ ( distance @ Y1 @ V1 ) )
| ~ ( between @ X @ Y @ Z )
| ~ ( between @ X1 @ Y1 @ Z1 )
| ( X = Y )
| ( equal_distance @ ( distance @ Z @ V ) @ ( distance @ Z1 @ V1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( between @ X @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(51,plain,
( ( ! [U: $i,V: $i,W: $i,Y: $i,X: $i] :
( ~ ( between @ U @ V @ W )
| ~ ( between @ Y @ X @ W )
| ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(52,plain,
( ( ! [U: $i,V: $i,W: $i,Y: $i,X: $i] :
( ~ ( between @ U @ V @ W )
| ~ ( between @ Y @ X @ W )
| ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(53,plain,
( ( ~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(54,plain,
( ( ~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(55,plain,
( ( ~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(56,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[38]) ).
thf(57,plain,
! [SV1: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( between @ SV1 @ SY51 @ SY52 )
| ( colinear @ SV1 @ SY51 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(58,plain,
! [SV2: $i] :
( ( ! [SY53: $i,SY54: $i] :
( ~ ( between @ SV2 @ SY53 @ SY54 )
| ( colinear @ SY54 @ SV2 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(59,plain,
! [SV3: $i] :
( ( ! [SY55: $i,SY56: $i] :
( ~ ( between @ SV3 @ SY55 @ SY56 )
| ( colinear @ SY55 @ SY56 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(60,plain,
! [SV4: $i] :
( ( ! [SY57: $i,SY58: $i] :
( ~ ( colinear @ SV4 @ SY57 @ SY58 )
| ( between @ SV4 @ SY57 @ SY58 )
| ( between @ SY57 @ SY58 @ SV4 )
| ( between @ SY58 @ SV4 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(61,plain,
! [SV5: $i] :
( ( ! [SY59: $i] : ( equal_distance @ ( distance @ SV5 @ SY59 ) @ ( distance @ SY59 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(62,plain,
! [SV6: $i] :
( ( ! [SY60: $i,SY61: $i,SY62: $i,SY63: $i,SY64: $i] :
( ~ ( equal_distance @ ( distance @ SV6 @ SY60 ) @ ( distance @ SY61 @ SY62 ) )
| ~ ( equal_distance @ ( distance @ SV6 @ SY60 ) @ ( distance @ SY63 @ SY64 ) )
| ( equal_distance @ ( distance @ SY61 @ SY62 ) @ ( distance @ SY63 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(63,plain,
! [SV7: $i] :
( ( ! [SY65: $i,SY66: $i] :
( ~ ( equal_distance @ ( distance @ SV7 @ SY65 ) @ ( distance @ SY66 @ SY66 ) )
| ( SV7 = SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(64,plain,
! [SV8: $i] :
( ( ! [SY67: $i,SY68: $i,SY69: $i] : ( between @ SV8 @ SY67 @ ( extension @ SV8 @ SY67 @ SY68 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(65,plain,
! [SV9: $i] :
( ( ! [SY70: $i,SY71: $i,SY72: $i] : ( equal_distance @ ( distance @ SV9 @ ( extension @ SY70 @ SV9 @ SY71 @ SY72 ) ) @ ( distance @ SY71 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(66,plain,
! [SV10: $i] :
( ( ! [SY73: $i,SY74: $i,SY75: $i,SY76: $i,SY77: $i,SY78: $i,SY79: $i] :
( ~ ( equal_distance @ ( distance @ SV10 @ SY73 ) @ ( distance @ SY74 @ SY75 ) )
| ~ ( equal_distance @ ( distance @ SY73 @ SY76 ) @ ( distance @ SY75 @ SY77 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SY78 ) @ ( distance @ SY74 @ SY79 ) )
| ~ ( equal_distance @ ( distance @ SY73 @ SY78 ) @ ( distance @ SY75 @ SY79 ) )
| ~ ( between @ SV10 @ SY73 @ SY76 )
| ~ ( between @ SY74 @ SY75 @ SY77 )
| ( SV10 = SY73 )
| ( equal_distance @ ( distance @ SY76 @ SY78 ) @ ( distance @ SY77 @ SY79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(67,plain,
! [SV11: $i] :
( ( ! [SY80: $i] :
( ~ ( between @ SV11 @ SY80 @ SV11 )
| ( SV11 = SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(68,plain,
! [SV12: $i] :
( ( ! [SY81: $i,SY82: $i,SY83: $i,SY84: $i] :
( ~ ( between @ SV12 @ SY81 @ SY82 )
| ~ ( between @ SY83 @ SY84 @ SY82 )
| ( between @ SY81 @ ( inner_pasch @ SV12 @ SY81 @ SY82 @ SY84 @ SY83 ) @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(69,plain,
! [SV13: $i] :
( ( ! [SY85: $i,SY86: $i,SY87: $i,SY88: $i] :
( ~ ( between @ SV13 @ SY85 @ SY86 )
| ~ ( between @ SY87 @ SY88 @ SY86 )
| ( between @ SY88 @ ( inner_pasch @ SV13 @ SY85 @ SY86 @ SY88 @ SY87 ) @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(70,plain,
( ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(71,plain,
( ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(72,plain,
( ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(73,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(74,plain,
! [SV14: $i,SV1: $i] :
( ( ! [SY89: $i] :
( ~ ( between @ SV1 @ SV14 @ SY89 )
| ( colinear @ SV1 @ SV14 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(75,plain,
! [SV15: $i,SV2: $i] :
( ( ! [SY90: $i] :
( ~ ( between @ SV2 @ SV15 @ SY90 )
| ( colinear @ SY90 @ SV2 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV16: $i,SV3: $i] :
( ( ! [SY91: $i] :
( ~ ( between @ SV3 @ SV16 @ SY91 )
| ( colinear @ SV16 @ SY91 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
! [SV17: $i,SV4: $i] :
( ( ! [SY92: $i] :
( ~ ( colinear @ SV4 @ SV17 @ SY92 )
| ( between @ SV4 @ SV17 @ SY92 )
| ( between @ SV17 @ SY92 @ SV4 )
| ( between @ SY92 @ SV4 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(78,plain,
! [SV18: $i,SV5: $i] :
( ( equal_distance @ ( distance @ SV5 @ SV18 ) @ ( distance @ SV18 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(79,plain,
! [SV19: $i,SV6: $i] :
( ( ! [SY93: $i,SY94: $i,SY95: $i,SY96: $i] :
( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SY93 @ SY94 ) )
| ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SY95 @ SY96 ) )
| ( equal_distance @ ( distance @ SY93 @ SY94 ) @ ( distance @ SY95 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(80,plain,
! [SV20: $i,SV7: $i] :
( ( ! [SY97: $i] :
( ~ ( equal_distance @ ( distance @ SV7 @ SV20 ) @ ( distance @ SY97 @ SY97 ) )
| ( SV7 = SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(81,plain,
! [SV21: $i,SV8: $i] :
( ( ! [SY98: $i,SY99: $i] : ( between @ SV8 @ SV21 @ ( extension @ SV8 @ SV21 @ SY98 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(82,plain,
! [SV22: $i,SV9: $i] :
( ( ! [SY100: $i,SY101: $i] : ( equal_distance @ ( distance @ SV9 @ ( extension @ SV22 @ SV9 @ SY100 @ SY101 ) ) @ ( distance @ SY100 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV23: $i,SV10: $i] :
( ( ! [SY102: $i,SY103: $i,SY104: $i,SY105: $i,SY106: $i,SY107: $i] :
( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SY102 @ SY103 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY104 ) @ ( distance @ SY103 @ SY105 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SY106 ) @ ( distance @ SY102 @ SY107 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY106 ) @ ( distance @ SY103 @ SY107 ) )
| ~ ( between @ SV10 @ SV23 @ SY104 )
| ~ ( between @ SY102 @ SY103 @ SY105 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SY104 @ SY106 ) @ ( distance @ SY105 @ SY107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(84,plain,
! [SV24: $i,SV11: $i] :
( ( ~ ( between @ SV11 @ SV24 @ SV11 )
| ( SV11 = SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(85,plain,
! [SV25: $i,SV12: $i] :
( ( ! [SY108: $i,SY109: $i,SY110: $i] :
( ~ ( between @ SV12 @ SV25 @ SY108 )
| ~ ( between @ SY109 @ SY110 @ SY108 )
| ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SY108 @ SY110 @ SY109 ) @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(86,plain,
! [SV26: $i,SV13: $i] :
( ( ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ( between @ SV13 @ SV26 @ SY111 )
| ~ ( between @ SY112 @ SY113 @ SY111 )
| ( between @ SY113 @ ( inner_pasch @ SV13 @ SV26 @ SY111 @ SY113 @ SY112 ) @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(87,plain,
! [SV27: $i,SV14: $i,SV1: $i] :
( ( ~ ( between @ SV1 @ SV14 @ SV27 )
| ( colinear @ SV1 @ SV14 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV28: $i,SV15: $i,SV2: $i] :
( ( ~ ( between @ SV2 @ SV15 @ SV28 )
| ( colinear @ SV28 @ SV2 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV29: $i,SV16: $i,SV3: $i] :
( ( ~ ( between @ SV3 @ SV16 @ SV29 )
| ( colinear @ SV16 @ SV29 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(90,plain,
! [SV30: $i,SV17: $i,SV4: $i] :
( ( ~ ( colinear @ SV4 @ SV17 @ SV30 )
| ( between @ SV4 @ SV17 @ SV30 )
| ( between @ SV17 @ SV30 @ SV4 )
| ( between @ SV30 @ SV4 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV31: $i,SV19: $i,SV6: $i] :
( ( ! [SY114: $i,SY115: $i,SY116: $i] :
( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SY114 ) )
| ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SY115 @ SY116 ) )
| ( equal_distance @ ( distance @ SV31 @ SY114 ) @ ( distance @ SY115 @ SY116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV32: $i,SV20: $i,SV7: $i] :
( ( ~ ( equal_distance @ ( distance @ SV7 @ SV20 ) @ ( distance @ SV32 @ SV32 ) )
| ( SV7 = SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV33: $i,SV21: $i,SV8: $i] :
( ( ! [SY117: $i] : ( between @ SV8 @ SV21 @ ( extension @ SV8 @ SV21 @ SV33 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV34: $i,SV22: $i,SV9: $i] :
( ( ! [SY118: $i] : ( equal_distance @ ( distance @ SV9 @ ( extension @ SV22 @ SV9 @ SV34 @ SY118 ) ) @ ( distance @ SV34 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV35: $i,SV23: $i,SV10: $i] :
( ( ! [SY119: $i,SY120: $i,SY121: $i,SY122: $i,SY123: $i] :
( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SY119 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY120 ) @ ( distance @ SY119 @ SY121 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SY122 ) @ ( distance @ SV35 @ SY123 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY122 ) @ ( distance @ SY119 @ SY123 ) )
| ~ ( between @ SV10 @ SV23 @ SY120 )
| ~ ( between @ SV35 @ SY119 @ SY121 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SY120 @ SY122 ) @ ( distance @ SY121 @ SY123 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV24: $i,SV11: $i] :
( ( ( ~ ( between @ SV11 @ SV24 @ SV11 ) )
= $true )
| ( ( SV11 = SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV36: $i,SV25: $i,SV12: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ~ ( between @ SV12 @ SV25 @ SV36 )
| ~ ( between @ SY124 @ SY125 @ SV36 )
| ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SV36 @ SY125 @ SY124 ) @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV37: $i,SV26: $i,SV13: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ~ ( between @ SV13 @ SV26 @ SV37 )
| ~ ( between @ SY126 @ SY127 @ SV37 )
| ( between @ SY127 @ ( inner_pasch @ SV13 @ SV26 @ SV37 @ SY127 @ SY126 ) @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV27: $i,SV14: $i,SV1: $i] :
( ( ( ~ ( between @ SV1 @ SV14 @ SV27 ) )
= $true )
| ( ( colinear @ SV1 @ SV14 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV28: $i,SV15: $i,SV2: $i] :
( ( ( ~ ( between @ SV2 @ SV15 @ SV28 ) )
= $true )
| ( ( colinear @ SV28 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV29: $i,SV16: $i,SV3: $i] :
( ( ( ~ ( between @ SV3 @ SV16 @ SV29 ) )
= $true )
| ( ( colinear @ SV16 @ SV29 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(102,plain,
! [SV30: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( colinear @ SV4 @ SV17 @ SV30 ) )
= $true )
| ( ( ( between @ SV4 @ SV17 @ SV30 )
| ( between @ SV17 @ SV30 @ SV4 )
| ( between @ SV30 @ SV4 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV38: $i,SV31: $i,SV19: $i,SV6: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SV38 ) )
| ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SY128 @ SY129 ) )
| ( equal_distance @ ( distance @ SV31 @ SV38 ) @ ( distance @ SY128 @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV32: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( equal_distance @ ( distance @ SV7 @ SV20 ) @ ( distance @ SV32 @ SV32 ) ) )
= $true )
| ( ( SV7 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV39: $i,SV33: $i,SV21: $i,SV8: $i] :
( ( between @ SV8 @ SV21 @ ( extension @ SV8 @ SV21 @ SV33 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV40: $i,SV34: $i,SV22: $i,SV9: $i] :
( ( equal_distance @ ( distance @ SV9 @ ( extension @ SV22 @ SV9 @ SV34 @ SV40 ) ) @ ( distance @ SV34 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV41: $i,SV35: $i,SV23: $i,SV10: $i] :
( ( ! [SY130: $i,SY131: $i,SY132: $i,SY133: $i] :
( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY130 ) @ ( distance @ SV41 @ SY131 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SY132 ) @ ( distance @ SV35 @ SY133 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY132 ) @ ( distance @ SV41 @ SY133 ) )
| ~ ( between @ SV10 @ SV23 @ SY130 )
| ~ ( between @ SV35 @ SV41 @ SY131 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SY130 @ SY132 ) @ ( distance @ SY131 @ SY133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV24: $i,SV11: $i] :
( ( ( between @ SV11 @ SV24 @ SV11 )
= $false )
| ( ( SV11 = SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV42: $i,SV36: $i,SV25: $i,SV12: $i] :
( ( ! [SY134: $i] :
( ~ ( between @ SV12 @ SV25 @ SV36 )
| ~ ( between @ SV42 @ SY134 @ SV36 )
| ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SV36 @ SY134 @ SV42 ) @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV43: $i,SV37: $i,SV26: $i,SV13: $i] :
( ( ! [SY135: $i] :
( ~ ( between @ SV13 @ SV26 @ SV37 )
| ~ ( between @ SV43 @ SY135 @ SV37 )
| ( between @ SY135 @ ( inner_pasch @ SV13 @ SV26 @ SV37 @ SY135 @ SV43 ) @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV27: $i,SV14: $i,SV1: $i] :
( ( ( between @ SV1 @ SV14 @ SV27 )
= $false )
| ( ( colinear @ SV1 @ SV14 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV28: $i,SV15: $i,SV2: $i] :
( ( ( between @ SV2 @ SV15 @ SV28 )
= $false )
| ( ( colinear @ SV28 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(113,plain,
! [SV29: $i,SV16: $i,SV3: $i] :
( ( ( between @ SV3 @ SV16 @ SV29 )
= $false )
| ( ( colinear @ SV16 @ SV29 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV30: $i,SV17: $i,SV4: $i] :
( ( ( colinear @ SV4 @ SV17 @ SV30 )
= $false )
| ( ( ( between @ SV4 @ SV17 @ SV30 )
| ( between @ SV17 @ SV30 @ SV4 )
| ( between @ SV30 @ SV4 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV44: $i,SV38: $i,SV31: $i,SV19: $i,SV6: $i] :
( ( ! [SY136: $i] :
( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SV38 ) )
| ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV44 @ SY136 ) )
| ( equal_distance @ ( distance @ SV31 @ SV38 ) @ ( distance @ SV44 @ SY136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV32: $i,SV20: $i,SV7: $i] :
( ( ( equal_distance @ ( distance @ SV7 @ SV20 ) @ ( distance @ SV32 @ SV32 ) )
= $false )
| ( ( SV7 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(117,plain,
! [SV45: $i,SV41: $i,SV35: $i,SV23: $i,SV10: $i] :
( ( ! [SY137: $i,SY138: $i,SY139: $i] :
( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SY137 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SY138 ) @ ( distance @ SV35 @ SY139 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY138 ) @ ( distance @ SV41 @ SY139 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SY137 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SY138 ) @ ( distance @ SY137 @ SY139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV46: $i,SV42: $i,SV36: $i,SV25: $i,SV12: $i] :
( ( ~ ( between @ SV12 @ SV25 @ SV36 )
| ~ ( between @ SV42 @ SV46 @ SV36 )
| ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SV36 @ SV46 @ SV42 ) @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV47: $i,SV43: $i,SV37: $i,SV26: $i,SV13: $i] :
( ( ~ ( between @ SV13 @ SV26 @ SV37 )
| ~ ( between @ SV43 @ SV47 @ SV37 )
| ( between @ SV47 @ ( inner_pasch @ SV13 @ SV26 @ SV37 @ SV47 @ SV43 ) @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV30: $i,SV17: $i,SV4: $i] :
( ( ( between @ SV4 @ SV17 @ SV30 )
= $true )
| ( ( ( between @ SV17 @ SV30 @ SV4 )
| ( between @ SV30 @ SV4 @ SV17 ) )
= $true )
| ( ( colinear @ SV4 @ SV17 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(121,plain,
! [SV48: $i,SV44: $i,SV38: $i,SV31: $i,SV19: $i,SV6: $i] :
( ( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SV38 ) )
| ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV44 @ SV48 ) )
| ( equal_distance @ ( distance @ SV31 @ SV38 ) @ ( distance @ SV44 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV49: $i,SV45: $i,SV41: $i,SV35: $i,SV23: $i,SV10: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SY140 ) @ ( distance @ SV35 @ SY141 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SY140 ) @ ( distance @ SV41 @ SY141 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SY140 ) @ ( distance @ SV49 @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(123,plain,
! [SV46: $i,SV42: $i,SV36: $i,SV25: $i,SV12: $i] :
( ( ( ~ ( between @ SV12 @ SV25 @ SV36 ) )
= $true )
| ( ( ~ ( between @ SV42 @ SV46 @ SV36 )
| ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SV36 @ SV46 @ SV42 ) @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(124,plain,
! [SV47: $i,SV43: $i,SV37: $i,SV26: $i,SV13: $i] :
( ( ( ~ ( between @ SV13 @ SV26 @ SV37 ) )
= $true )
| ( ( ~ ( between @ SV43 @ SV47 @ SV37 )
| ( between @ SV47 @ ( inner_pasch @ SV13 @ SV26 @ SV37 @ SV47 @ SV43 ) @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(125,plain,
! [SV4: $i,SV30: $i,SV17: $i] :
( ( ( between @ SV17 @ SV30 @ SV4 )
= $true )
| ( ( between @ SV30 @ SV4 @ SV17 )
= $true )
| ( ( between @ SV4 @ SV17 @ SV30 )
= $true )
| ( ( colinear @ SV4 @ SV17 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(126,plain,
! [SV48: $i,SV44: $i,SV38: $i,SV31: $i,SV19: $i,SV6: $i] :
( ( ( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SV38 ) ) )
= $true )
| ( ( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV44 @ SV48 ) )
| ( equal_distance @ ( distance @ SV31 @ SV38 ) @ ( distance @ SV44 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV50: $i,SV49: $i,SV45: $i,SV41: $i,SV35: $i,SV23: $i,SV10: $i] :
( ( ! [SY142: $i] :
( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SY142 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SY142 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(128,plain,
! [SV46: $i,SV42: $i,SV36: $i,SV25: $i,SV12: $i] :
( ( ( between @ SV12 @ SV25 @ SV36 )
= $false )
| ( ( ~ ( between @ SV42 @ SV46 @ SV36 )
| ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SV36 @ SV46 @ SV42 ) @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(129,plain,
! [SV47: $i,SV43: $i,SV37: $i,SV26: $i,SV13: $i] :
( ( ( between @ SV13 @ SV26 @ SV37 )
= $false )
| ( ( ~ ( between @ SV43 @ SV47 @ SV37 )
| ( between @ SV47 @ ( inner_pasch @ SV13 @ SV26 @ SV37 @ SV47 @ SV43 ) @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(130,plain,
! [SV48: $i,SV44: $i,SV38: $i,SV31: $i,SV19: $i,SV6: $i] :
( ( ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SV38 ) )
= $false )
| ( ( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV44 @ SV48 ) )
| ( equal_distance @ ( distance @ SV31 @ SV38 ) @ ( distance @ SV44 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV51: $i,SV50: $i,SV49: $i,SV45: $i,SV41: $i,SV35: $i,SV23: $i,SV10: $i] :
( ( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(132,plain,
! [SV12: $i,SV25: $i,SV36: $i,SV46: $i,SV42: $i] :
( ( ( ~ ( between @ SV42 @ SV46 @ SV36 ) )
= $true )
| ( ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SV36 @ SV46 @ SV42 ) @ SV42 )
= $true )
| ( ( between @ SV12 @ SV25 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(133,plain,
! [SV26: $i,SV13: $i,SV37: $i,SV47: $i,SV43: $i] :
( ( ( ~ ( between @ SV43 @ SV47 @ SV37 ) )
= $true )
| ( ( between @ SV47 @ ( inner_pasch @ SV13 @ SV26 @ SV37 @ SV47 @ SV43 ) @ SV13 )
= $true )
| ( ( between @ SV13 @ SV26 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(134,plain,
! [SV38: $i,SV31: $i,SV48: $i,SV44: $i,SV19: $i,SV6: $i] :
( ( ( ~ ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV44 @ SV48 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV31 @ SV38 ) @ ( distance @ SV44 @ SV48 ) )
= $true )
| ( ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(135,plain,
! [SV51: $i,SV50: $i,SV49: $i,SV45: $i,SV41: $i,SV35: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) ) )
= $true )
| ( ( ~ ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(136,plain,
! [SV12: $i,SV25: $i,SV36: $i,SV46: $i,SV42: $i] :
( ( ( between @ SV42 @ SV46 @ SV36 )
= $false )
| ( ( between @ SV25 @ ( inner_pasch @ SV12 @ SV25 @ SV36 @ SV46 @ SV42 ) @ SV42 )
= $true )
| ( ( between @ SV12 @ SV25 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(137,plain,
! [SV26: $i,SV13: $i,SV37: $i,SV47: $i,SV43: $i] :
( ( ( between @ SV43 @ SV47 @ SV37 )
= $false )
| ( ( between @ SV47 @ ( inner_pasch @ SV13 @ SV26 @ SV37 @ SV47 @ SV43 ) @ SV13 )
= $true )
| ( ( between @ SV13 @ SV26 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(138,plain,
! [SV38: $i,SV31: $i,SV48: $i,SV44: $i,SV19: $i,SV6: $i] :
( ( ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV44 @ SV48 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV31 @ SV38 ) @ ( distance @ SV44 @ SV48 ) )
= $true )
| ( ( equal_distance @ ( distance @ SV6 @ SV19 ) @ ( distance @ SV31 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(139,plain,
! [SV51: $i,SV50: $i,SV49: $i,SV45: $i,SV41: $i,SV35: $i,SV23: $i,SV10: $i] :
( ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false )
| ( ( ~ ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
| ~ ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(140,plain,
! [SV51: $i,SV35: $i,SV50: $i,SV10: $i,SV49: $i,SV41: $i,SV45: $i,SV23: $i] :
( ( ( ~ ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) ) )
= $true )
| ( ( ~ ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(141,plain,
! [SV51: $i,SV35: $i,SV50: $i,SV10: $i,SV49: $i,SV41: $i,SV45: $i,SV23: $i] :
( ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( ~ ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
| ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(142,plain,
! [SV49: $i,SV45: $i,SV41: $i,SV23: $i,SV51: $i,SV35: $i,SV50: $i,SV10: $i] :
( ( ( ~ ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) ) )
= $true )
| ( ( ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(143,plain,
! [SV49: $i,SV45: $i,SV41: $i,SV23: $i,SV51: $i,SV35: $i,SV50: $i,SV10: $i] :
( ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
| ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(144,plain,
! [SV49: $i,SV35: $i,SV45: $i,SV10: $i,SV51: $i,SV41: $i,SV50: $i,SV23: $i] :
( ( ( ~ ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) ) )
= $true )
| ( ( ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(145,plain,
! [SV49: $i,SV35: $i,SV45: $i,SV10: $i,SV51: $i,SV41: $i,SV50: $i,SV23: $i] :
( ( ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
= $false )
| ( ( ~ ( between @ SV10 @ SV23 @ SV45 )
| ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(146,plain,
! [SV51: $i,SV50: $i,SV49: $i,SV41: $i,SV35: $i,SV45: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( between @ SV10 @ SV23 @ SV45 ) )
= $true )
| ( ( ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(147,plain,
! [SV51: $i,SV50: $i,SV49: $i,SV41: $i,SV35: $i,SV45: $i,SV23: $i,SV10: $i] :
( ( ( between @ SV10 @ SV23 @ SV45 )
= $false )
| ( ( ~ ( between @ SV35 @ SV41 @ SV49 )
| ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(148,plain,
! [SV51: $i,SV50: $i,SV45: $i,SV23: $i,SV10: $i,SV49: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( between @ SV35 @ SV41 @ SV49 ) )
= $true )
| ( ( ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( between @ SV10 @ SV23 @ SV45 )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(149,plain,
! [SV51: $i,SV50: $i,SV45: $i,SV23: $i,SV10: $i,SV49: $i,SV41: $i,SV35: $i] :
( ( ( between @ SV35 @ SV41 @ SV49 )
= $false )
| ( ( ( SV10 = SV23 )
| ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) ) )
= $true )
| ( ( between @ SV10 @ SV23 @ SV45 )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(150,plain,
! [SV41: $i,SV35: $i,SV51: $i,SV49: $i,SV50: $i,SV45: $i,SV23: $i,SV10: $i] :
( ( ( SV10 = SV23 )
= $true )
| ( ( equal_distance @ ( distance @ SV45 @ SV50 ) @ ( distance @ SV49 @ SV51 ) )
= $true )
| ( ( between @ SV35 @ SV41 @ SV49 )
= $false )
| ( ( between @ SV10 @ SV23 @ SV45 )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV50 ) @ ( distance @ SV41 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV50 ) @ ( distance @ SV35 @ SV51 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV23 @ SV45 ) @ ( distance @ SV41 @ SV49 ) )
= $false )
| ( ( equal_distance @ ( distance @ SV10 @ SV23 ) @ ( distance @ SV35 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(151,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[39,150,138,137,136,125,116,113,112,111,108,106,105,78,73,72,71,70]) ).
thf(152,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO011-5 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Oct 6 10:03:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.28
% 0.39/0.28 No.of.Axioms: 17
% 0.39/0.28
% 0.39/0.28 Length.of.Defs: 0
% 0.39/0.28
% 0.39/0.28 Contains.Choice.Funs: false
% 0.39/0.28 .....
% 0.39/0.28
% 0.39/0.28 ********************************
% 0.39/0.28 * All subproblems solved! *
% 0.39/0.28 ********************************
% 0.39/0.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:17,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:151,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.39/0.28
% 0.39/0.28 %**** Beginning of derivation protocol ****
% 0.39/0.28 % SZS output start CNFRefutation
% See solution above
% 0.39/0.28
% 0.39/0.28 %**** End of derivation protocol ****
% 0.39/0.28 %**** no. of clauses in derivation: 152 ****
% 0.39/0.28 %**** clause counter: 151 ****
% 0.39/0.28
% 0.39/0.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:17,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:151,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------