%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GRA014+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 : 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 10:19:43 AM UTC 2026
% Result : Theorem 0.30s 0.31s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 78 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 466 ( 116 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 714 ( 158 ~; 126 |; 22 &; 400 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 129 ( 0 ^; 129 !; 0 ?; 129 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_goal,type,
goal: $o ).
thf(tp_green,type,
green: $i > $i > $o ).
thf(tp_less_than,type,
less_than: $i > $i > $o ).
thf(tp_n1,type,
n1: $i ).
thf(tp_n2,type,
n2: $i ).
thf(tp_n3,type,
n3: $i ).
thf(tp_n4,type,
n4: $i ).
thf(tp_n5,type,
n5: $i ).
thf(tp_n6,type,
n6: $i ).
thf(tp_red,type,
red: $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( less_than @ A @ B )
=> ( ( red @ A @ B )
| ( green @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( less_than @ A @ B )
& ( less_than @ B @ C ) )
=> ( less_than @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_than_transitive) ).
thf(3,axiom,
( ( less_than @ n1 @ n2 )
& ( less_than @ n2 @ n3 )
& ( less_than @ n3 @ n4 )
& ( less_than @ n4 @ n5 )
& ( less_than @ n5 @ n6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordering) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( green @ A @ B )
& ( green @ B @ C )
& ( green @ A @ C ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',green_clique) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( red @ A @ B )
& ( red @ B @ C )
& ( red @ A @ C ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',red_clique) ).
thf(6,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(7,negated_conjecture,
goal = $false,
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
goal = $false,
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [A: $i,B: $i] :
( ( less_than @ A @ B )
=> ( ( red @ A @ B )
| ( green @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( less_than @ A @ B )
& ( less_than @ B @ C ) )
=> ( less_than @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ( less_than @ n1 @ n2 )
& ( less_than @ n2 @ n3 )
& ( less_than @ n3 @ n4 )
& ( less_than @ n4 @ n5 )
& ( less_than @ n5 @ n6 ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( green @ A @ B )
& ( green @ B @ C )
& ( green @ A @ C ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( red @ A @ B )
& ( red @ B @ C )
& ( red @ A @ C ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( ~ goal ) = $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [A: $i,B: $i] :
( ~ ( less_than @ A @ B )
| ( green @ A @ B )
| ( red @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(16,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( less_than @ A @ B )
| ~ ( less_than @ B @ C )
| ( less_than @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(17,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( green @ A @ B )
| ~ ( green @ B @ C )
| ~ ( green @ A @ C ) )
| goal ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(18,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( red @ A @ B )
| ~ ( red @ B @ C )
| ~ ( red @ A @ C ) )
| goal ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(19,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( red @ A @ B )
| ~ ( red @ B @ C )
| ~ ( red @ A @ C ) )
| goal ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( green @ A @ B )
| ~ ( green @ B @ C )
| ~ ( green @ A @ C ) )
| goal ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(21,plain,
( ( ( less_than @ n1 @ n2 )
& ( less_than @ n2 @ n3 )
& ( less_than @ n3 @ n4 )
& ( less_than @ n4 @ n5 )
& ( less_than @ n5 @ n6 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(22,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( less_than @ A @ B )
| ~ ( less_than @ B @ C )
| ( less_than @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
( ~ ( less_than @ A @ B )
| ( green @ A @ B )
| ( red @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(24,plain,
( ( ~ goal ) = $true ),
inference(copy,[status(thm)],[14]) ).
thf(25,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) )
| ~ ( less_than @ n4 @ n5 ) )
| ~ ( less_than @ n5 @ n6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: $i] :
( ( ! [SY11: $i,SY12: $i] :
( ~ ( red @ SV1 @ SY11 )
| ~ ( red @ SY11 @ SY12 )
| ~ ( red @ SV1 @ SY12 ) )
| goal )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(27,plain,
! [SV2: $i] :
( ( ! [SY13: $i,SY14: $i] :
( ~ ( green @ SV2 @ SY13 )
| ~ ( green @ SY13 @ SY14 )
| ~ ( green @ SV2 @ SY14 ) )
| goal )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(28,plain,
! [SV3: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ~ ( less_than @ SV3 @ SY15 )
| ~ ( less_than @ SY15 @ SY16 )
| ( less_than @ SV3 @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(29,plain,
! [SV4: $i] :
( ( ! [SY17: $i] :
( ~ ( less_than @ SV4 @ SY17 )
| ( green @ SV4 @ SY17 )
| ( red @ SV4 @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(30,plain,
goal = $false,
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(31,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) )
| ~ ( less_than @ n4 @ n5 ) )
| ~ ( less_than @ n5 @ n6 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(32,plain,
! [SV1: $i] :
( ( ( ! [SY11: $i,SY12: $i] :
( ~ ( red @ SV1 @ SY11 )
| ~ ( red @ SY11 @ SY12 )
| ~ ( red @ SV1 @ SY12 ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(33,plain,
! [SV2: $i] :
( ( ( ! [SY13: $i,SY14: $i] :
( ~ ( green @ SV2 @ SY13 )
| ~ ( green @ SY13 @ SY14 )
| ~ ( green @ SV2 @ SY14 ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(34,plain,
! [SV5: $i,SV3: $i] :
( ( ! [SY18: $i] :
( ~ ( less_than @ SV3 @ SV5 )
| ~ ( less_than @ SV5 @ SY18 )
| ( less_than @ SV3 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV6: $i,SV4: $i] :
( ( ~ ( less_than @ SV4 @ SV6 )
| ( green @ SV4 @ SV6 )
| ( red @ SV4 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) )
| ~ ( less_than @ n4 @ n5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
( ( ~ ( less_than @ n5 @ n6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(38,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY19: $i] :
( ~ ( red @ SV1 @ SV7 )
| ~ ( red @ SV7 @ SY19 )
| ~ ( red @ SV1 @ SY19 ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY20: $i] :
( ~ ( green @ SV2 @ SV8 )
| ~ ( green @ SV8 @ SY20 )
| ~ ( green @ SV2 @ SY20 ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV9: $i,SV5: $i,SV3: $i] :
( ( ~ ( less_than @ SV3 @ SV5 )
| ~ ( less_than @ SV5 @ SV9 )
| ( less_than @ SV3 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV6: $i,SV4: $i] :
( ( ( ~ ( less_than @ SV4 @ SV6 ) )
= $true )
| ( ( ( green @ SV4 @ SV6 )
| ( red @ SV4 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) )
| ~ ( less_than @ n4 @ n5 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
( ( less_than @ n5 @ n6 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV10: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( red @ SV1 @ SV7 )
| ~ ( red @ SV7 @ SV10 )
| ~ ( red @ SV1 @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV11: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( green @ SV2 @ SV8 )
| ~ ( green @ SV8 @ SV11 )
| ~ ( green @ SV2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV9: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( less_than @ SV3 @ SV5 )
| ~ ( less_than @ SV5 @ SV9 ) )
= $true )
| ( ( less_than @ SV3 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV6: $i,SV4: $i] :
( ( ( less_than @ SV4 @ SV6 )
= $false )
| ( ( ( green @ SV4 @ SV6 )
| ( red @ SV4 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ~ ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) )
| ~ ( less_than @ n4 @ n5 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV10: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( red @ SV1 @ SV7 )
| ~ ( red @ SV7 @ SV10 ) )
= $true )
| ( ( ~ ( red @ SV1 @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV11: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( green @ SV2 @ SV8 )
| ~ ( green @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ( green @ SV2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV9: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( less_than @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( less_than @ SV5 @ SV9 ) )
= $true )
| ( ( less_than @ SV3 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV6: $i,SV4: $i] :
( ( ( green @ SV4 @ SV6 )
= $true )
| ( ( red @ SV4 @ SV6 )
= $true )
| ( ( less_than @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
( ( ~ ~ ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( ~ ( less_than @ n4 @ n5 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV10: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( red @ SV1 @ SV7 ) )
= $true )
| ( ( ~ ( red @ SV7 @ SV10 ) )
= $true )
| ( ( ~ ( red @ SV1 @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV11: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( green @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ( green @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ( green @ SV2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV9: $i,SV5: $i,SV3: $i] :
( ( ( less_than @ SV3 @ SV5 )
= $false )
| ( ( ~ ( less_than @ SV5 @ SV9 ) )
= $true )
| ( ( less_than @ SV3 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
( ( ~ ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(59,plain,
( ( less_than @ n4 @ n5 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV10: $i,SV7: $i,SV1: $i] :
( ( ( red @ SV1 @ SV7 )
= $false )
| ( ( ~ ( red @ SV7 @ SV10 ) )
= $true )
| ( ( ~ ( red @ SV1 @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(61,plain,
! [SV11: $i,SV8: $i,SV2: $i] :
( ( ( green @ SV2 @ SV8 )
= $false )
| ( ( ~ ( green @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ( green @ SV2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV3: $i,SV9: $i,SV5: $i] :
( ( ( less_than @ SV5 @ SV9 )
= $false )
| ( ( less_than @ SV3 @ SV5 )
= $false )
| ( ( less_than @ SV3 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(63,plain,
( ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
| ~ ( less_than @ n3 @ n4 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV1: $i,SV10: $i,SV7: $i] :
( ( ( red @ SV7 @ SV10 )
= $false )
| ( ( red @ SV1 @ SV7 )
= $false )
| ( ( ~ ( red @ SV1 @ SV10 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV2: $i,SV11: $i,SV8: $i] :
( ( ( green @ SV8 @ SV11 )
= $false )
| ( ( green @ SV2 @ SV8 )
= $false )
| ( ( ~ ( green @ SV2 @ SV11 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( ~ ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(67,plain,
( ( ~ ( less_than @ n3 @ n4 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(68,plain,
! [SV7: $i,SV10: $i,SV1: $i] :
( ( ( red @ SV1 @ SV10 )
= $false )
| ( ( red @ SV1 @ SV7 )
= $false )
| ( ( red @ SV7 @ SV10 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV8: $i,SV11: $i,SV2: $i] :
( ( ( green @ SV2 @ SV11 )
= $false )
| ( ( green @ SV2 @ SV8 )
= $false )
| ( ( green @ SV8 @ SV11 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
( ( ~ ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(71,plain,
( ( less_than @ n3 @ n4 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(72,plain,
( ( ~ ( less_than @ n1 @ n2 )
| ~ ( less_than @ n2 @ n3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(73,plain,
( ( ~ ( less_than @ n1 @ n2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(74,plain,
( ( ~ ( less_than @ n2 @ n3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(75,plain,
( ( less_than @ n1 @ n2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(76,plain,
( ( less_than @ n2 @ n3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(77,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,76,75,71,69,68,62,59,52,43]) ).
thf(78,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA014+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
% 0.13/0.18 % Computer : n026.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Oct 6 10:25:01 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.31
% 0.30/0.31 No.of.Axioms: 5
% 0.30/0.31
% 0.30/0.31 Length.of.Defs: 0
% 0.30/0.31
% 0.30/0.31 Contains.Choice.Funs: false
% 0.30/0.31 .
% 0.30/0.31
% 0.30/0.31 ********************************
% 0.30/0.31 * All subproblems solved! *
% 0.30/0.31 ********************************
% 0.30/0.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:77,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.30/0.31
% 0.30/0.31 %**** Beginning of derivation protocol ****
% 0.30/0.31 % SZS output start CNFRefutation
% See solution above
% 0.30/0.31
% 0.30/0.31 %**** End of derivation protocol ****
% 0.30/0.31 %**** no. of clauses in derivation: 78 ****
% 0.30/0.31 %**** clause counter: 77 ****
% 0.30/0.31
% 0.30/0.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:77,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------