%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SET954+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 10:42:38 AM UTC 2026
% Result : Theorem 0.10s 0.22s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 278 ( 70 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 693 ( 125 ~; 66 |; 3 &; 486 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 152 ( 0 ^; 152 !; 0 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cartesian_product2,type,
cartesian_product2: $i > $i > $i ).
thf(tp_empty,type,
empty: $i > $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_ordered_pair,type,
ordered_pair: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY12,type,
sK2_SY12: $i ).
thf(tp_sK3_SY15,type,
sK3_SY15: $i ).
thf(tp_sK4_SY17,type,
sK4_SY17: $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
thf(4,axiom,
! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(8,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
=> ( in @ ( ordered_pair @ B @ A ) @ ( cartesian_product2 @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_zfmisc_1) ).
thf(9,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
=> ( in @ ( ordered_pair @ B @ A ) @ ( cartesian_product2 @ D @ C ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
=> ( in @ ( ordered_pair @ B @ A ) @ ( cartesian_product2 @ D @ C ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(14,plain,
( ( ! [SY12: $i,SY13: $i,SY14: $i] :
( ( in @ ( ordered_pair @ sK1_A @ SY12 ) @ ( cartesian_product2 @ SY13 @ SY14 ) )
=> ( in @ ( ordered_pair @ SY12 @ sK1_A ) @ ( cartesian_product2 @ SY14 @ SY13 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(15,plain,
( ( ! [SY15: $i,SY16: $i] :
( ( in @ ( ordered_pair @ sK1_A @ sK2_SY12 ) @ ( cartesian_product2 @ SY15 @ SY16 ) )
=> ( in @ ( ordered_pair @ sK2_SY12 @ sK1_A ) @ ( cartesian_product2 @ SY16 @ SY15 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( ! [SY17: $i] :
( ( in @ ( ordered_pair @ sK1_A @ sK2_SY12 ) @ ( cartesian_product2 @ sK3_SY15 @ SY17 ) )
=> ( in @ ( ordered_pair @ sK2_SY12 @ sK1_A ) @ ( cartesian_product2 @ SY17 @ sK3_SY15 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(17,plain,
( ( ( in @ ( ordered_pair @ sK1_A @ sK2_SY12 ) @ ( cartesian_product2 @ sK3_SY15 @ sK4_SY17 ) )
=> ( in @ ( ordered_pair @ sK2_SY12 @ sK1_A ) @ ( cartesian_product2 @ sK4_SY17 @ sK3_SY15 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(18,plain,
( ( in @ ( ordered_pair @ sK1_A @ sK2_SY12 ) @ ( cartesian_product2 @ sK3_SY15 @ sK4_SY17 ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(19,plain,
( ( in @ ( ordered_pair @ sK2_SY12 @ sK1_A ) @ ( cartesian_product2 @ sK4_SY17 @ sK3_SY15 ) )
= $false ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( in @ ( ordered_pair @ sK2_SY12 @ sK1_A ) @ ( cartesian_product2 @ sK4_SY17 @ sK3_SY15 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(24,plain,
( ( in @ ( ordered_pair @ sK1_A @ sK2_SY12 ) @ ( cartesian_product2 @ sK3_SY15 @ sK4_SY17 ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(25,plain,
( ( ~ ( in @ ( ordered_pair @ sK2_SY12 @ sK1_A ) @ ( cartesian_product2 @ sK4_SY17 @ sK3_SY15 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(26,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(27,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( in @ ( ordered_pair @ SX0 @ SX1 ) @ ( cartesian_product2 @ SX2 @ SX3 ) )
| ~ ( ~ ( in @ SX0 @ SX2 )
| ~ ( in @ SX1 @ SX3 ) ) )
| ~ ( ~ ~ ( ~ ( in @ SX0 @ SX2 )
| ~ ( in @ SX1 @ SX3 ) )
| ( in @ ( ordered_pair @ SX0 @ SX1 ) @ ( cartesian_product2 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: $i] :
( ( ! [SY18: $i] :
~ ( empty @ ( ordered_pair @ SV1 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(29,plain,
( ( in @ ( ordered_pair @ sK2_SY12 @ sK1_A ) @ ( cartesian_product2 @ sK4_SY17 @ sK3_SY15 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV2: $i] :
( ( ! [SY19: $i] :
( ~ ( in @ SV2 @ SY19 )
| ~ ( in @ SY19 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV3: $i] :
( ( ! [SY20: $i,SY21: $i,SY22: $i] :
~ ( ~ ( ~ ( in @ ( ordered_pair @ SV3 @ SY20 ) @ ( cartesian_product2 @ SY21 @ SY22 ) )
| ~ ( ~ ( in @ SV3 @ SY21 )
| ~ ( in @ SY20 @ SY22 ) ) )
| ~ ( ~ ~ ( ~ ( in @ SV3 @ SY21 )
| ~ ( in @ SY20 @ SY22 ) )
| ( in @ ( ordered_pair @ SV3 @ SY20 ) @ ( cartesian_product2 @ SY21 @ SY22 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( empty @ ( ordered_pair @ SV1 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( in @ SV2 @ SV5 )
| ~ ( in @ SV5 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV6: $i,SV3: $i] :
( ( ! [SY23: $i,SY24: $i] :
~ ( ~ ( ~ ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SY23 @ SY24 ) )
| ~ ( ~ ( in @ SV3 @ SY23 )
| ~ ( in @ SV6 @ SY24 ) ) )
| ~ ( ~ ~ ( ~ ( in @ SV3 @ SY23 )
| ~ ( in @ SV6 @ SY24 ) )
| ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SY23 @ SY24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV4: $i,SV1: $i] :
( ( empty @ ( ordered_pair @ SV1 @ SV4 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ( in @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV7: $i,SV6: $i,SV3: $i] :
( ( ! [SY25: $i] :
~ ( ~ ( ~ ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SY25 ) )
| ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SY25 ) ) )
| ~ ( ~ ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SY25 ) )
| ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SY25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV5: $i,SV2: $i] :
( ( ( in @ SV2 @ SV5 )
= $false )
| ( ( ~ ( in @ SV5 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV8: $i,SV7: $i,SV6: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
| ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) )
| ~ ( ~ ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) )
| ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV2: $i,SV5: $i] :
( ( ( in @ SV5 @ SV2 )
= $false )
| ( ( in @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV8: $i,SV7: $i,SV6: $i,SV3: $i] :
( ( ~ ( ~ ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
| ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) )
| ~ ( ~ ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) )
| ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV8: $i,SV7: $i,SV6: $i,SV3: $i] :
( ( ~ ( ~ ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
| ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(43,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ~ ( ~ ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) )
| ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(44,plain,
! [SV8: $i,SV7: $i,SV6: $i,SV3: $i] :
( ( ~ ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
| ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ~ ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) )
| ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
! [SV8: $i,SV7: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) )
= $true )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV8: $i,SV7: $i,SV6: $i,SV3: $i] :
( ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) ) )
= $false )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) )
= $false )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( in @ SV3 @ SV7 )
| ~ ( in @ SV6 @ SV8 ) )
= $true )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(52,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( in @ SV3 @ SV7 ) )
= $false )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(53,plain,
! [SV7: $i,SV3: $i,SV8: $i,SV6: $i] :
( ( ( ~ ( in @ SV6 @ SV8 ) )
= $false )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( in @ SV3 @ SV7 ) )
= $true )
| ( ( ~ ( in @ SV6 @ SV8 ) )
= $true )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( in @ SV3 @ SV7 )
= $true )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV7: $i,SV3: $i,SV8: $i,SV6: $i] :
( ( ( in @ SV6 @ SV8 )
= $true )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(57,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( in @ SV3 @ SV7 )
= $false )
| ( ( ~ ( in @ SV6 @ SV8 ) )
= $true )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV7: $i,SV3: $i,SV8: $i,SV6: $i] :
( ( ( in @ SV6 @ SV8 )
= $false )
| ( ( in @ SV3 @ SV7 )
= $false )
| ( ( in @ ( ordered_pair @ SV3 @ SV6 ) @ ( cartesian_product2 @ SV7 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(59,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,58,56,55,40,35,29]) ).
thf(60,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET954+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n019.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 14:57:16 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.22
% 0.10/0.22 No.of.Axioms: 3
% 0.10/0.22
% 0.10/0.22 Length.of.Defs: 0
% 0.10/0.22
% 0.10/0.22 Contains.Choice.Funs: false
% 0.10/0.22 .
% 0.10/0.22
% 0.10/0.22 ********************************
% 0.10/0.22 * All subproblems solved! *
% 0.10/0.22 ********************************
% 0.10/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:59,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.22
% 0.10/0.22 %**** Beginning of derivation protocol ****
% 0.10/0.22 % SZS output start CNFRefutation
% See solution above
% 0.10/0.22
% 0.10/0.22 %**** End of derivation protocol ****
% 0.10/0.22 %**** no. of clauses in derivation: 56 ****
% 0.10/0.22 %**** clause counter: 59 ****
% 0.10/0.22
% 0.10/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:59,loop_count:0,foatp_calls:1,translation:fof_full)
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