%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : REL046+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 10:37:24 AM UTC 2026
% Result : Theorem 1.04s 0.48s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 73 ( 72 unt; 0 typ; 0 def)
% Number of atoms : 216 ( 148 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 527 ( 4 ~; 0 |; 7 &; 510 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 136 ( 0 ^; 136 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_complement,type,
complement: $i > $i ).
thf(tp_composition,type,
composition: $i > $i > $i ).
thf(tp_converse,type,
converse: $i > $i ).
thf(tp_join,type,
join: $i > $i > $i ).
thf(tp_meet,type,
meet: $i > $i > $i ).
thf(tp_one,type,
one: $i ).
thf(tp_sK1_X0,type,
sK1_X0: $i ).
thf(tp_sK2_SY17,type,
sK2_SY17: $i ).
thf(tp_sK3_SY19,type,
sK3_SY19: $i ).
thf(tp_top,type,
top: $i ).
thf(tp_zero,type,
zero: $i ).
thf(5,axiom,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
thf(7,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X1 ) @ X2 )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
thf(10,axiom,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
thf(11,axiom,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
thf(12,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
thf(13,axiom,
! [X0: $i,X1: $i] :
( ( join @ X0 @ X1 )
= ( join @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
thf(14,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( join @ X0 @ ( meet @ X1 @ X2 ) )
= ( meet @ X1 @ X2 ) )
=> ( ( ( join @ X0 @ X1 )
= X1 )
& ( ( join @ X0 @ X2 )
= X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
thf(15,negated_conjecture,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( join @ X0 @ ( meet @ X1 @ X2 ) )
= ( meet @ X1 @ X2 ) )
=> ( ( ( join @ X0 @ X1 )
= X1 )
& ( ( join @ X0 @ X2 )
= X2 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[14]) ).
thf(16,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( join @ X0 @ ( meet @ X1 @ X2 ) )
= ( meet @ X1 @ X2 ) )
=> ( ( ( join @ X0 @ X1 )
= X1 )
& ( ( join @ X0 @ X2 )
= X2 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X1 ) @ X2 )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X1 @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(20,plain,
( ( ! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(22,plain,
( ( ! [X0: $i,X1: $i] :
( ( join @ X0 @ X1 )
= ( join @ X1 @ X0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(23,plain,
( ( ! [SY17: $i,SY18: $i] :
( ( ( join @ sK1_X0 @ ( meet @ SY17 @ SY18 ) )
= ( meet @ SY17 @ SY18 ) )
=> ( ( ( join @ sK1_X0 @ SY17 )
= SY17 )
& ( ( join @ sK1_X0 @ SY18 )
= SY18 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(24,plain,
( ( ! [SY19: $i] :
( ( ( join @ sK1_X0 @ ( meet @ sK2_SY17 @ SY19 ) )
= ( meet @ sK2_SY17 @ SY19 ) )
=> ( ( ( join @ sK1_X0 @ sK2_SY17 )
= sK2_SY17 )
& ( ( join @ sK1_X0 @ SY19 )
= SY19 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(25,plain,
( ( ( ( join @ sK1_X0 @ ( meet @ sK2_SY17 @ sK3_SY19 ) )
= ( meet @ sK2_SY17 @ sK3_SY19 ) )
=> ( ( ( join @ sK1_X0 @ sK2_SY17 )
= sK2_SY17 )
& ( ( join @ sK1_X0 @ sK3_SY19 )
= sK3_SY19 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(26,plain,
( ( ( join @ sK1_X0 @ ( meet @ sK2_SY17 @ sK3_SY19 ) )
= ( meet @ sK2_SY17 @ sK3_SY19 ) )
= $true ),
inference(standard_cnf,[status(thm)],[25]) ).
thf(27,plain,
( ( ( ( join @ sK1_X0 @ sK2_SY17 )
= sK2_SY17 )
& ( ( join @ sK1_X0 @ sK3_SY19 )
= sK3_SY19 ) )
= $false ),
inference(standard_cnf,[status(thm)],[25]) ).
thf(28,plain,
( ( ( join @ sK1_X0 @ sK2_SY17 )
= sK2_SY17 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[27]) ).
thf(29,plain,
( ( ( join @ sK1_X0 @ sK3_SY19 )
= sK3_SY19 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[27]) ).
thf(30,plain,
( ( ( join @ sK1_X0 @ sK2_SY17 )
!= sK2_SY17 )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(31,plain,
( ( ( join @ sK1_X0 @ sK3_SY19 )
!= sK3_SY19 )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(32,plain,
( ( ! [X0: $i,X1: $i] :
( ( join @ X0 @ X1 )
= ( join @ X1 @ X0 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(33,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(34,plain,
( ( ! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(35,plain,
( ( ! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(36,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X1 ) @ X2 )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(37,plain,
( ( ! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(38,plain,
( ( ( join @ sK1_X0 @ ( meet @ sK2_SY17 @ sK3_SY19 ) )
= ( meet @ sK2_SY17 @ sK3_SY19 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(39,plain,
( ( ( join @ sK1_X0 @ sK2_SY17 )
!= sK2_SY17 )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(40,plain,
! [SV1: $i] :
( ( ! [SY20: $i] :
( ( join @ SV1 @ SY20 )
= ( join @ SY20 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV2: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ( join @ SV2 @ ( join @ SY21 @ SY22 ) )
= ( join @ ( join @ SV2 @ SY21 ) @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(42,plain,
! [SV3: $i] :
( ( ! [SY23: $i] :
( SV3
= ( join @ ( complement @ ( join @ ( complement @ SV3 ) @ ( complement @ SY23 ) ) ) @ ( complement @ ( join @ ( complement @ SV3 ) @ SY23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV4: $i] :
( ( ! [SY24: $i] :
( ( meet @ SV4 @ SY24 )
= ( complement @ ( join @ ( complement @ SV4 ) @ ( complement @ SY24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV5: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ( composition @ ( join @ SV5 @ SY25 ) @ SY26 )
= ( join @ ( composition @ SV5 @ SY26 ) @ ( composition @ SY25 @ SY26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV6: $i] :
( ( ! [SY27: $i] :
( ( converse @ ( join @ SV6 @ SY27 ) )
= ( join @ ( converse @ SV6 ) @ ( converse @ SY27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(46,plain,
( ( ( join @ sK1_X0 @ sK2_SY17 )
= sK2_SY17 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV7: $i,SV1: $i] :
( ( ( join @ SV1 @ SV7 )
= ( join @ SV7 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV8: $i,SV2: $i] :
( ( ! [SY28: $i] :
( ( join @ SV2 @ ( join @ SV8 @ SY28 ) )
= ( join @ ( join @ SV2 @ SV8 ) @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV9: $i,SV3: $i] :
( ( SV3
= ( join @ ( complement @ ( join @ ( complement @ SV3 ) @ ( complement @ SV9 ) ) ) @ ( complement @ ( join @ ( complement @ SV3 ) @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV10: $i,SV4: $i] :
( ( ( meet @ SV4 @ SV10 )
= ( complement @ ( join @ ( complement @ SV4 ) @ ( complement @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV11: $i,SV5: $i] :
( ( ! [SY29: $i] :
( ( composition @ ( join @ SV5 @ SV11 ) @ SY29 )
= ( join @ ( composition @ SV5 @ SY29 ) @ ( composition @ SV11 @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV12: $i,SV6: $i] :
( ( ( converse @ ( join @ SV6 @ SV12 ) )
= ( join @ ( converse @ SV6 ) @ ( converse @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV13: $i,SV8: $i,SV2: $i] :
( ( ( join @ SV2 @ ( join @ SV8 @ SV13 ) )
= ( join @ ( join @ SV2 @ SV8 ) @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV14: $i,SV11: $i,SV5: $i] :
( ( ( composition @ ( join @ SV5 @ SV11 ) @ SV14 )
= ( join @ ( composition @ SV5 @ SV14 ) @ ( composition @ SV11 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(55,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,54,53,52,50,49,47,46]) ).
thf(56,plain,
( ( ! [X0: $i,X1: $i] :
( ( join @ X0 @ X1 )
= ( join @ X1 @ X0 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(57,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(58,plain,
( ( ! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(59,plain,
( ( ! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(60,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X1 ) @ X2 )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(61,plain,
( ( ! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(62,plain,
( ( ( join @ sK1_X0 @ ( meet @ sK2_SY17 @ sK3_SY19 ) )
= ( meet @ sK2_SY17 @ sK3_SY19 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(63,plain,
( ( ( join @ sK1_X0 @ sK3_SY19 )
!= sK3_SY19 )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(64,plain,
! [SV15: $i] :
( ( ! [SY30: $i] :
( ( join @ SV15 @ SY30 )
= ( join @ SY30 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV16: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ( join @ SV16 @ ( join @ SY31 @ SY32 ) )
= ( join @ ( join @ SV16 @ SY31 ) @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV17: $i] :
( ( ! [SY33: $i] :
( SV17
= ( join @ ( complement @ ( join @ ( complement @ SV17 ) @ ( complement @ SY33 ) ) ) @ ( complement @ ( join @ ( complement @ SV17 ) @ SY33 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV18: $i] :
( ( ! [SY34: $i] :
( ( meet @ SV18 @ SY34 )
= ( complement @ ( join @ ( complement @ SV18 ) @ ( complement @ SY34 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(68,plain,
! [SV19: $i] :
( ( ! [SY35: $i,SY36: $i] :
( ( composition @ ( join @ SV19 @ SY35 ) @ SY36 )
= ( join @ ( composition @ SV19 @ SY36 ) @ ( composition @ SY35 @ SY36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV20: $i] :
( ( ! [SY37: $i] :
( ( converse @ ( join @ SV20 @ SY37 ) )
= ( join @ ( converse @ SV20 ) @ ( converse @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(70,plain,
( ( ( join @ sK1_X0 @ sK3_SY19 )
= sK3_SY19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV21: $i,SV15: $i] :
( ( ( join @ SV15 @ SV21 )
= ( join @ SV21 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV22: $i,SV16: $i] :
( ( ! [SY38: $i] :
( ( join @ SV16 @ ( join @ SV22 @ SY38 ) )
= ( join @ ( join @ SV16 @ SV22 ) @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV23: $i,SV17: $i] :
( ( SV17
= ( join @ ( complement @ ( join @ ( complement @ SV17 ) @ ( complement @ SV23 ) ) ) @ ( complement @ ( join @ ( complement @ SV17 ) @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV24: $i,SV18: $i] :
( ( ( meet @ SV18 @ SV24 )
= ( complement @ ( join @ ( complement @ SV18 ) @ ( complement @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV25: $i,SV19: $i] :
( ( ! [SY39: $i] :
( ( composition @ ( join @ SV19 @ SV25 ) @ SY39 )
= ( join @ ( composition @ SV19 @ SY39 ) @ ( composition @ SV25 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV26: $i,SV20: $i] :
( ( ( converse @ ( join @ SV20 @ SV26 ) )
= ( join @ ( converse @ SV20 ) @ ( converse @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV27: $i,SV22: $i,SV16: $i] :
( ( ( join @ SV16 @ ( join @ SV22 @ SV27 ) )
= ( join @ ( join @ SV16 @ SV22 ) @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV28: $i,SV25: $i,SV19: $i] :
( ( ( composition @ ( join @ SV19 @ SV25 ) @ SV28 )
= ( join @ ( composition @ SV19 @ SV28 ) @ ( composition @ SV25 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(79,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[62,78,77,76,74,73,71,70]) ).
thf(80,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[79,55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL046+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.20 % Computer : n010.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Oct 6 14:06:55 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/0.48
% 1.04/0.48 No.of.Axioms: 6
% 1.04/0.48
% 1.04/0.48 Length.of.Defs: 0
% 1.04/0.48
% 1.04/0.48 Contains.Choice.Funs: false
% 1.04/0.48 .
% 1.04/0.48
% 1.04/0.48 ********************************
% 1.04/0.48 * All subproblems solved! *
% 1.04/0.48 ********************************
% 1.04/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,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:79,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.04/0.48
% 1.04/0.48 %**** Beginning of derivation protocol ****
% 1.04/0.48 % SZS output start CNFRefutation
% See solution above
% 1.04/0.48
% 1.04/0.48 %**** End of derivation protocol ****
% 1.04/0.48 %**** no. of clauses in derivation: 73 ****
% 1.04/0.48 %**** clause counter: 79 ****
% 1.04/0.48
% 1.04/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,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:79,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------