%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO112+1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n026.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 10:17:57 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of formulae : 76 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 687 ( 211 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 1814 ( 597 ~; 261 |; 12 &; 934 @)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 309 ( 0 ^; 306 !; 3 ?; 309 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_between_c,type,
between_c: $i > $i > $i > $i > $o ).
thf(tp_closed,type,
closed: $i > $o ).
thf(tp_end_point,type,
end_point: $i > $i > $o ).
thf(tp_incident_c,type,
incident_c: $i > $i > $o ).
thf(tp_inner_point,type,
inner_point: $i > $i > $o ).
thf(tp_meet,type,
meet: $i > $i > $i > $o ).
thf(tp_open,type,
open: $i > $o ).
thf(tp_part_of,type,
part_of: $i > $i > $o ).
thf(tp_sK1_C,type,
sK1_C: $i ).
thf(tp_sK2_SY9,type,
sK2_SY9: $i ).
thf(tp_sK3_SY12,type,
sK3_SY12: $i ).
thf(tp_sK4_SY14,type,
sK4_SY14: $i ).
thf(tp_sK5_SY27,type,
sK5_SY27: $i > $i > $i > $i > $i ).
thf(tp_sum,type,
sum: $i > $i > $i ).
thf(1,axiom,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
<=> ( ( P != R )
& ? [Cpp: $i] :
( ( part_of @ Cpp @ C )
& ( end_point @ P @ Cpp )
& ( end_point @ R @ Cpp )
& ( inner_point @ Q @ Cpp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).
thf(18,conjecture,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
=> ( between_c @ C @ R @ Q @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2) ).
thf(19,negated_conjecture,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
=> ( between_c @ C @ R @ Q @ P ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[18]) ).
thf(20,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
=> ( between_c @ C @ R @ Q @ P ) ) )
= $false ),
inference(unfold_def,[status(thm)],[19]) ).
thf(21,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
<=> ( ( P != R )
& ? [Cpp: $i] :
( ( part_of @ Cpp @ C )
& ( end_point @ P @ Cpp )
& ( end_point @ R @ Cpp )
& ( inner_point @ Q @ Cpp ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( between_c @ sK1_C @ SY9 @ SY10 @ SY11 )
=> ( between_c @ sK1_C @ SY11 @ SY10 @ SY9 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(23,plain,
( ( ! [SY12: $i,SY13: $i] :
( ( between_c @ sK1_C @ sK2_SY9 @ SY12 @ SY13 )
=> ( between_c @ sK1_C @ SY13 @ SY12 @ sK2_SY9 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(24,plain,
( ( ! [SY14: $i] :
( ( between_c @ sK1_C @ sK2_SY9 @ sK3_SY12 @ SY14 )
=> ( between_c @ sK1_C @ SY14 @ sK3_SY12 @ sK2_SY9 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(25,plain,
( ( ( between_c @ sK1_C @ sK2_SY9 @ sK3_SY12 @ sK4_SY14 )
=> ( between_c @ sK1_C @ sK4_SY14 @ sK3_SY12 @ sK2_SY9 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(26,plain,
( ( between_c @ sK1_C @ sK2_SY9 @ sK3_SY12 @ sK4_SY14 )
= $true ),
inference(standard_cnf,[status(thm)],[25]) ).
thf(27,plain,
( ( between_c @ sK1_C @ sK4_SY14 @ sK3_SY12 @ sK2_SY9 )
= $false ),
inference(standard_cnf,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ( between_c @ sK1_C @ sK4_SY14 @ sK3_SY12 @ sK2_SY9 ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(29,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
<=> ( ( P != R )
& ? [Cpp: $i] :
( ( part_of @ Cpp @ C )
& ( end_point @ P @ Cpp )
& ( end_point @ R @ Cpp )
& ( inner_point @ Q @ Cpp ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(30,plain,
( ( between_c @ sK1_C @ sK2_SY9 @ sK3_SY12 @ sK4_SY14 )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ( between_c @ sK1_C @ sK4_SY14 @ sK3_SY12 @ sK2_SY9 ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( ( SX1 != SX3 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SX4 @ SX0 )
| ~ ( end_point @ SX1 @ SX4 ) )
| ~ ( end_point @ SX3 @ SX4 ) )
| ~ ( inner_point @ SX2 @ SX4 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SX1 != SX3 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SX4 @ SX0 )
| ~ ( end_point @ SX1 @ SX4 ) )
| ~ ( end_point @ SX3 @ SX4 ) )
| ~ ( inner_point @ SX2 @ SX4 ) ) )
| ( between_c @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(33,plain,
( ( between_c @ sK1_C @ sK4_SY14 @ sK3_SY12 @ sK2_SY9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: $i] :
( ( ! [SY15: $i,SY16: $i,SY17: $i] :
~ ( ~ ( ~ ( between_c @ SV1 @ SY15 @ SY16 @ SY17 )
| ~ ( ~ ( ( SY15 != SY17 ) )
| ~ ~ ! [SY18: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY18 @ SV1 )
| ~ ( end_point @ SY15 @ SY18 ) )
| ~ ( end_point @ SY17 @ SY18 ) )
| ~ ( inner_point @ SY16 @ SY18 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SY15 != SY17 ) )
| ~ ~ ! [SY19: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY19 @ SV1 )
| ~ ( end_point @ SY15 @ SY19 ) )
| ~ ( end_point @ SY17 @ SY19 ) )
| ~ ( inner_point @ SY16 @ SY19 ) ) )
| ( between_c @ SV1 @ SY15 @ SY16 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY20: $i,SY21: $i] :
~ ( ~ ( ~ ( between_c @ SV1 @ SV2 @ SY20 @ SY21 )
| ~ ( ~ ( ( SV2 != SY21 ) )
| ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY22 @ SV1 )
| ~ ( end_point @ SV2 @ SY22 ) )
| ~ ( end_point @ SY21 @ SY22 ) )
| ~ ( inner_point @ SY20 @ SY22 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV2 != SY21 ) )
| ~ ~ ! [SY23: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY23 @ SV1 )
| ~ ( end_point @ SV2 @ SY23 ) )
| ~ ( end_point @ SY21 @ SY23 ) )
| ~ ( inner_point @ SY20 @ SY23 ) ) )
| ( between_c @ SV1 @ SV2 @ SY20 @ SY21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(36,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY24: $i] :
~ ( ~ ( ~ ( between_c @ SV1 @ SV2 @ SV3 @ SY24 )
| ~ ( ~ ( ( SV2 != SY24 ) )
| ~ ~ ! [SY25: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY25 @ SV1 )
| ~ ( end_point @ SV2 @ SY25 ) )
| ~ ( end_point @ SY24 @ SY25 ) )
| ~ ( inner_point @ SV3 @ SY25 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV2 != SY24 ) )
| ~ ~ ! [SY26: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY26 @ SV1 )
| ~ ( end_point @ SV2 @ SY26 ) )
| ~ ( end_point @ SY24 @ SY26 ) )
| ~ ( inner_point @ SV3 @ SY26 ) ) )
| ( between_c @ SV1 @ SV2 @ SV3 @ SY24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(37,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
| ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
| ( between_c @ SV1 @ SV2 @ SV3 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(38,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( ~ ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
| ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
| ( between_c @ SV1 @ SV2 @ SV3 @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(39,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( ~ ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
| ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(40,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
| ( between_c @ SV1 @ SV2 @ SV3 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(41,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
| ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(42,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ~ ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
| ( between_c @ SV1 @ SV2 @ SV3 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(43,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( between_c @ SV1 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false )
| ( ( ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ( SV2 != SV4 ) )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(49,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ( SV2 != SV4 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(50,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i] :
( ( ( ~ ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ( SV2 != SV4 ) ) )
= $true )
| ( ( ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( SV2 != SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(53,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i] :
( ( ( ~ ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( SV2 != SV4 )
= $false )
| ( ( ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( SV2 = SV4 )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i] :
( ( ( ! [SY27: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY27 @ SV1 )
| ~ ( end_point @ SV2 @ SY27 ) )
| ~ ( end_point @ SV4 @ SY27 ) )
| ~ ( inner_point @ SV3 @ SY27 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV3: $i,SV1: $i,SV4: $i,SV2: $i] :
( ( ( SV2 = SV4 )
= $true )
| ( ( ~ ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(58,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( inner_point @ SV3 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(59,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i] :
( ( ( ~ ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
= $false )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( inner_point @ SV3 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(61,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i] :
( ( ( ! [SY28: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY28 @ SV1 )
| ~ ( end_point @ SV2 @ SY28 ) )
| ~ ( end_point @ SV4 @ SY28 ) )
| ~ ( inner_point @ SV3 @ SY28 ) ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(62,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( inner_point @ SV3 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) )
| ~ ( end_point @ SV4 @ SV5 ) )
| ~ ( inner_point @ SV3 @ SV5 ) ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(65,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( inner_point @ SV3 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(66,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) )
| ~ ( end_point @ SV4 @ SV5 ) )
| ~ ( inner_point @ SV3 @ SV5 ) ) )
= $false )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(67,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( inner_point @ SV3 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(69,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) )
| ~ ( end_point @ SV4 @ SV5 ) )
| ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(70,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
| ~ ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) )
| ~ ( end_point @ SV4 @ SV5 ) ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(72,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(73,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i] :
( ( ( ~ ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(74,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) )
| ~ ( end_point @ SV4 @ SV5 ) ) )
= $false )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(75,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(76,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i] :
( ( ( end_point @ SV4 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(77,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) )
| ~ ( end_point @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(78,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) ) )
= $true )
| ( ( ~ ( end_point @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(81,plain,
! [SV1: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) ) )
= $false )
| ( ( ~ ( end_point @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV1: $i,SV2: $i,SV4: $i,SV3: $i] :
( ( ( part_of @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) @ SV1 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(84,plain,
! [SV1: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( end_point @ SV2 @ ( sK5_SY27 @ SV3 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(85,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ( part_of @ SV5 @ SV1 )
| ~ ( end_point @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( end_point @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(86,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( ~ ( part_of @ SV5 @ SV1 ) )
= $true )
| ( ( ~ ( end_point @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( end_point @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(87,plain,
! [SV3: $i,SV4: $i,SV2: $i,SV1: $i,SV5: $i] :
( ( ( part_of @ SV5 @ SV1 )
= $false )
| ( ( ~ ( end_point @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( end_point @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(88,plain,
! [SV3: $i,SV4: $i,SV1: $i,SV5: $i,SV2: $i] :
( ( ( end_point @ SV2 @ SV5 )
= $false )
| ( ( part_of @ SV5 @ SV1 )
= $false )
| ( ( ~ ( end_point @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(89,plain,
! [SV3: $i,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( end_point @ SV4 @ SV5 )
= $false )
| ( ( part_of @ SV5 @ SV1 )
= $false )
| ( ( end_point @ SV2 @ SV5 )
= $false )
| ( ( ~ ( inner_point @ SV3 @ SV5 ) )
= $true )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(90,plain,
! [SV4: $i,SV1: $i,SV2: $i,SV5: $i,SV3: $i] :
( ( ( inner_point @ SV3 @ SV5 )
= $false )
| ( ( end_point @ SV2 @ SV5 )
= $false )
| ( ( part_of @ SV5 @ SV1 )
= $false )
| ( ( end_point @ SV4 @ SV5 )
= $false )
| ( ( SV2 = SV4 )
= $true )
| ( ( between_c @ SV1 @ SV2 @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(91,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,90,84,83,76,68,55,33]) ).
thf(92,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO112+1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.07/0.18 % Computer : n026.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 10:06:46 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26
% 0.07/0.26 No.of.Axioms: 1
% 0.07/0.26
% 0.07/0.26 Length.of.Defs: 0
% 0.07/0.26
% 0.07/0.26 Contains.Choice.Funs: false
% 0.07/0.26 ..
% 0.07/0.26
% 0.07/0.26 ********************************
% 0.07/0.26 * All subproblems solved! *
% 0.07/0.26 ********************************
% 0.07/0.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.26
% 0.07/0.26 %**** Beginning of derivation protocol ****
% 0.07/0.26 % SZS output start CNFRefutation
% See solution above
% 0.07/0.26
% 0.07/0.26 %**** End of derivation protocol ****
% 0.07/0.26 %**** no. of clauses in derivation: 76 ****
% 0.07/0.26 %**** clause counter: 91 ****
% 0.07/0.26
% 0.07/0.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------