%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : HEN007-4 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 10:22:04 AM UTC 2026
% Result : Unsatisfiable 4.26s 0.91s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 91 ( 72 unt; 0 typ; 0 def)
% Number of atoms : 336 ( 131 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 504 ( 55 ~; 61 |; 0 &; 388 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 150 ( 0 ^; 150 !; 0 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_divide,type,
divide: $i > $i > $i ).
thf(tp_identity,type,
identity: $i ).
thf(tp_less_equal,type,
less_equal: $i > $i > $o ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( less_equal @ ( divide @ X @ Y ) @ Z )
| ( less_equal @ ( divide @ X @ Z ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( less_equal @ X @ Y )
| ~ ( less_equal @ Y @ Z )
| ( less_equal @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
thf(3,axiom,
( ( divide @ a @ zero )
= a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
thf(4,axiom,
! [X: $i] :
( ( divide @ X @ X )
= zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
thf(5,axiom,
! [X: $i] :
( ( divide @ zero @ X )
= zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
thf(6,axiom,
! [X: $i] :
( ( divide @ X @ identity )
= zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everything_divide_id_is_zero) ).
thf(7,axiom,
! [X: $i] : ( less_equal @ X @ identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ~ ( less_equal @ X @ Y )
| ~ ( less_equal @ Y @ X )
| ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
thf(9,axiom,
! [X: $i] : ( less_equal @ zero @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
thf(10,axiom,
! [X: $i,Z: $i,Y: $i] : ( less_equal @ ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ ( divide @ ( divide @ X @ Y ) @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
thf(11,axiom,
! [X: $i,Y: $i] : ( less_equal @ ( divide @ X @ Y ) @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
thf(12,axiom,
! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( less_equal @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
thf(13,axiom,
! [X: $i,Y: $i] :
( ~ ( less_equal @ X @ Y )
| ( ( divide @ X @ Y )
= zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
thf(14,axiom,
less_equal @ a @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
thf(15,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(16,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[15]) ).
thf(17,negated_conjecture,
~ ( less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
thf(18,plain,
$false = $false,
inference(unfold_def,[status(thm)],[16]) ).
thf(19,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less_equal @ ( divide @ X @ Y ) @ Z )
| ( less_equal @ ( divide @ X @ Z ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(20,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less_equal @ X @ Y )
| ~ ( less_equal @ Y @ Z )
| ( less_equal @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(21,plain,
( ( ( divide @ a @ zero )
= a )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( divide @ X @ X )
= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(23,plain,
( ( ! [X: $i] :
( ( divide @ zero @ X )
= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(24,plain,
( ( ! [X: $i] :
( ( divide @ X @ identity )
= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(25,plain,
( ( ! [X: $i] : ( less_equal @ X @ identity ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_equal @ X @ Y )
| ~ ( less_equal @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(27,plain,
( ( ! [X: $i] : ( less_equal @ zero @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(28,plain,
( ( ! [X: $i,Z: $i,Y: $i] : ( less_equal @ ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ ( divide @ ( divide @ X @ Y ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] : ( less_equal @ ( divide @ X @ Y ) @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( less_equal @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_equal @ X @ Y )
| ( ( divide @ X @ Y )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(32,plain,
( ( less_equal @ a @ b )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(33,plain,
( ( ~ ( less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(34,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(35,plain,
( ( ~ ( less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(36,plain,
( ( less_equal @ a @ b )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_equal @ X @ Y )
| ( ( divide @ X @ Y )
= zero ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( less_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] : ( less_equal @ ( divide @ X @ Y ) @ X ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(40,plain,
( ( ! [X: $i,Z: $i,Y: $i] : ( less_equal @ ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ ( divide @ ( divide @ X @ Y ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(41,plain,
( ( ! [X: $i] : ( less_equal @ zero @ X ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_equal @ X @ Y )
| ~ ( less_equal @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(43,plain,
( ( ! [X: $i] : ( less_equal @ X @ identity ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( divide @ X @ identity )
= zero ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(45,plain,
( ( ! [X: $i] :
( ( divide @ zero @ X )
= zero ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(46,plain,
( ( ! [X: $i] :
( ( divide @ X @ X )
= zero ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(47,plain,
( ( ( divide @ a @ zero )
= a )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less_equal @ X @ Y )
| ~ ( less_equal @ Y @ Z )
| ( less_equal @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less_equal @ ( divide @ X @ Y ) @ Z )
| ( less_equal @ ( divide @ X @ Z ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(50,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[34]) ).
thf(51,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( divide @ SX0 @ SX1 )
!= zero )
| ( less_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(52,plain,
( ( less_equal @ ( divide @ c @ b ) @ ( divide @ c @ a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(53,plain,
! [SV1: $i] :
( ( ! [SY22: $i] :
( ~ ( less_equal @ SV1 @ SY22 )
| ( ( divide @ SV1 @ SY22 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(54,plain,
! [SV2: $i] :
( ( ! [SY23: $i] : ( less_equal @ ( divide @ SV2 @ SY23 ) @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(55,plain,
! [SV3: $i] :
( ( ! [SY24: $i,SY25: $i] : ( less_equal @ ( divide @ ( divide @ SV3 @ SY24 ) @ ( divide @ SY25 @ SY24 ) ) @ ( divide @ ( divide @ SV3 @ SY25 ) @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(56,plain,
! [SV4: $i] :
( ( less_equal @ zero @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(57,plain,
! [SV5: $i] :
( ( ! [SY26: $i] :
( ~ ( less_equal @ SV5 @ SY26 )
| ~ ( less_equal @ SY26 @ SV5 )
| ( SV5 = SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(58,plain,
! [SV6: $i] :
( ( less_equal @ SV6 @ identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(59,plain,
! [SV7: $i] :
( ( ( divide @ SV7 @ identity )
= zero )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(60,plain,
! [SV8: $i] :
( ( ( divide @ zero @ SV8 )
= zero )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(61,plain,
! [SV9: $i] :
( ( ( divide @ SV9 @ SV9 )
= zero )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(62,plain,
! [SV10: $i] :
( ( ! [SY27: $i,SY28: $i] :
( ~ ( less_equal @ SV10 @ SY27 )
| ~ ( less_equal @ SY27 @ SY28 )
| ( less_equal @ SV10 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
! [SV11: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( less_equal @ ( divide @ SV11 @ SY29 ) @ SY30 )
| ( less_equal @ ( divide @ SV11 @ SY30 ) @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(64,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV12: $i] :
( ( ! [SY31: $i] :
( ( ( divide @ SV12 @ SY31 )
!= zero )
| ( less_equal @ SV12 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV13: $i,SV1: $i] :
( ( ~ ( less_equal @ SV1 @ SV13 )
| ( ( divide @ SV1 @ SV13 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(67,plain,
! [SV14: $i,SV2: $i] :
( ( less_equal @ ( divide @ SV2 @ SV14 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(68,plain,
! [SV15: $i,SV3: $i] :
( ( ! [SY32: $i] : ( less_equal @ ( divide @ ( divide @ SV3 @ SV15 ) @ ( divide @ SY32 @ SV15 ) ) @ ( divide @ ( divide @ SV3 @ SY32 ) @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(69,plain,
! [SV16: $i,SV5: $i] :
( ( ~ ( less_equal @ SV5 @ SV16 )
| ~ ( less_equal @ SV16 @ SV5 )
| ( SV5 = SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(70,plain,
! [SV17: $i,SV10: $i] :
( ( ! [SY33: $i] :
( ~ ( less_equal @ SV10 @ SV17 )
| ~ ( less_equal @ SV17 @ SY33 )
| ( less_equal @ SV10 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV18: $i,SV11: $i] :
( ( ! [SY34: $i] :
( ~ ( less_equal @ ( divide @ SV11 @ SV18 ) @ SY34 )
| ( less_equal @ ( divide @ SV11 @ SY34 ) @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV19: $i,SV12: $i] :
( ( ( ( divide @ SV12 @ SV19 )
!= zero )
| ( less_equal @ SV12 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV13: $i,SV1: $i] :
( ( ( ~ ( less_equal @ SV1 @ SV13 ) )
= $true )
| ( ( ( divide @ SV1 @ SV13 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV20: $i,SV15: $i,SV3: $i] :
( ( less_equal @ ( divide @ ( divide @ SV3 @ SV15 ) @ ( divide @ SV20 @ SV15 ) ) @ ( divide @ ( divide @ SV3 @ SV20 ) @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(75,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( less_equal @ SV5 @ SV16 ) )
= $true )
| ( ( ~ ( less_equal @ SV16 @ SV5 )
| ( SV5 = SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV21: $i,SV17: $i,SV10: $i] :
( ( ~ ( less_equal @ SV10 @ SV17 )
| ~ ( less_equal @ SV17 @ SV21 )
| ( less_equal @ SV10 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV22: $i,SV18: $i,SV11: $i] :
( ( ~ ( less_equal @ ( divide @ SV11 @ SV18 ) @ SV22 )
| ( less_equal @ ( divide @ SV11 @ SV22 ) @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV19: $i,SV12: $i] :
( ( ( ( divide @ SV12 @ SV19 )
!= zero )
= $true )
| ( ( less_equal @ SV12 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV13: $i,SV1: $i] :
( ( ( less_equal @ SV1 @ SV13 )
= $false )
| ( ( ( divide @ SV1 @ SV13 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV16: $i,SV5: $i] :
( ( ( less_equal @ SV5 @ SV16 )
= $false )
| ( ( ~ ( less_equal @ SV16 @ SV5 )
| ( SV5 = SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV21: $i,SV17: $i,SV10: $i] :
( ( ( ~ ( less_equal @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( less_equal @ SV17 @ SV21 )
| ( less_equal @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(82,plain,
! [SV22: $i,SV18: $i,SV11: $i] :
( ( ( ~ ( less_equal @ ( divide @ SV11 @ SV18 ) @ SV22 ) )
= $true )
| ( ( less_equal @ ( divide @ SV11 @ SV22 ) @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV19: $i,SV12: $i] :
( ( ( ( divide @ SV12 @ SV19 )
= zero )
= $false )
| ( ( less_equal @ SV12 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( less_equal @ SV16 @ SV5 ) )
= $true )
| ( ( SV5 = SV16 )
= $true )
| ( ( less_equal @ SV5 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV21: $i,SV17: $i,SV10: $i] :
( ( ( less_equal @ SV10 @ SV17 )
= $false )
| ( ( ~ ( less_equal @ SV17 @ SV21 )
| ( less_equal @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV22: $i,SV18: $i,SV11: $i] :
( ( ( less_equal @ ( divide @ SV11 @ SV18 ) @ SV22 )
= $false )
| ( ( less_equal @ ( divide @ SV11 @ SV22 ) @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(87,plain,
! [SV5: $i,SV16: $i] :
( ( ( less_equal @ SV16 @ SV5 )
= $false )
| ( ( SV5 = SV16 )
= $true )
| ( ( less_equal @ SV5 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV10: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( less_equal @ SV17 @ SV21 ) )
= $true )
| ( ( less_equal @ SV10 @ SV21 )
= $true )
| ( ( less_equal @ SV10 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV10: $i,SV21: $i,SV17: $i] :
( ( ( less_equal @ SV17 @ SV21 )
= $false )
| ( ( less_equal @ SV10 @ SV21 )
= $true )
| ( ( less_equal @ SV10 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(90,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[36,89,87,86,83,79,74,67,64,61,60,59,58,56,52,47]) ).
thf(91,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-4 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n006.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 10:56:07 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.26/0.91
% 4.26/0.91 No.of.Axioms: 15
% 4.26/0.91
% 4.26/0.91 Length.of.Defs: 0
% 4.26/0.91
% 4.26/0.91 Contains.Choice.Funs: false
% 4.26/0.91 .
% 4.26/0.91
% 4.26/0.91 ********************************
% 4.26/0.91 * All subproblems solved! *
% 4.26/0.91 ********************************
% 4.26/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,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:90,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.26/0.91
% 4.26/0.91 %**** Beginning of derivation protocol ****
% 4.26/0.91 % SZS output start CNFRefutation
% See solution above
% 4.26/0.91
% 4.26/0.91 %**** End of derivation protocol ****
% 4.26/0.91 %**** no. of clauses in derivation: 91 ****
% 4.26/0.91 %**** clause counter: 90 ****
% 4.26/0.91
% 4.26/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,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:90,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------