%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU805^2 : TPTP v9.3.1. Released v3.7.0.
% 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 10:48:27 AM UTC 2026
% Result : Theorem 0.12s 0.22s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 35 unt; 0 typ; 4 def)
% Number of atoms : 331 ( 127 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 569 ( 109 ~; 68 |; 20 &; 349 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 120 ( 1 ^; 99 !; 20 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_binintersect,type,
binintersect: $i > $i > $i ).
thf(tp_disjointsetsI1,type,
disjointsetsI1: $o ).
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_foundationAx,type,
foundationAx: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_nonempty,type,
nonempty: $i > $o ).
thf(tp_nonemptyE1,type,
nonemptyE1: $o ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK2_B,type,
sK2_B: $i > $i ).
thf(tp_sK3_Xx,type,
sK3_Xx: $i > $i ).
thf(tp_sK4_Xx,type,
sK4_Xx: $i > $i > $i ).
thf(disjointsetsI1,definition,
( disjointsetsI1
= ( ! [A: $i,B: $i] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( in @ Xx @ B ) )
=> ( ( binintersect @ A @ B )
= emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjointsetsI1) ).
thf(foundationAx,definition,
( foundationAx
= ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',foundationAx) ).
thf(nonempty,definition,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonempty) ).
thf(nonemptyE1,definition,
( nonemptyE1
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyE1) ).
thf(1,conjecture,
( foundationAx
=> ( nonemptyE1
=> ( disjointsetsI1
=> ! [A: $i] :
( ( nonempty @ A )
=> ? [X: $i] :
( ( in @ X @ A )
& ( ( binintersect @ X @ A )
= emptyset ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',foundation2) ).
thf(2,negated_conjecture,
( ( foundationAx
=> ( nonemptyE1
=> ( disjointsetsI1
=> ! [A: $i] :
( ( nonempty @ A )
=> ? [X: $i] :
( ( in @ X @ A )
& ( ( binintersect @ X @ A )
= emptyset ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) )
=> ( ! [SY6: $i] :
( ( SY6 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY6 ) )
=> ( ! [A: $i,B: $i] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( in @ Xx @ B ) )
=> ( ( binintersect @ A @ B )
= emptyset ) )
=> ! [SY0: $i] :
( ( SY0 != emptyset )
=> ? [X: $i] :
( ( in @ X @ SY0 )
& ( ( binintersect @ X @ SY0 )
= emptyset ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,disjointsetsI1,foundationAx,nonempty,nonemptyE1]) ).
thf(4,plain,
( ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY6: $i] :
( ( SY6 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY6 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,B: $i] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( in @ Xx @ B ) )
=> ( ( binintersect @ A @ B )
= emptyset ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [SY0: $i] :
( ( SY0 != emptyset )
=> ? [X: $i] :
( ( in @ X @ SY0 )
& ( ( binintersect @ X @ SY0 )
= emptyset ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ~ ! [SY0: $i] :
( ( SY0 != emptyset )
=> ? [X: $i] :
( ( in @ X @ SY0 )
& ( ( binintersect @ X @ SY0 )
= emptyset ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( sK1_SY0 != emptyset )
& ! [SY24: $i] :
( ( ( binintersect @ SY24 @ sK1_SY0 )
!= emptyset )
| ~ ( in @ SY24 @ sK1_SY0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
| ( ( in @ ( sK2_B @ A ) @ A )
& ! [SY25: $i] :
( ~ ( in @ SY25 @ ( sK2_B @ A ) )
| ~ ( in @ SY25 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(11,plain,
( ( ! [SY6: $i] :
( ( SY6 = emptyset )
| ( in @ ( sK3_Xx @ SY6 ) @ SY6 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(12,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK4_Xx @ B @ A ) @ A )
& ( in @ ( sK4_Xx @ B @ A ) @ B ) )
| ( ( binintersect @ A @ B )
= emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(13,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK4_Xx @ B @ A ) @ A )
& ( in @ ( sK4_Xx @ B @ A ) @ B ) )
| ( ( binintersect @ A @ B )
= emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY6: $i] :
( ( SY6 = emptyset )
| ( in @ ( sK3_Xx @ SY6 ) @ SY6 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
| ( ( in @ ( sK2_B @ A ) @ A )
& ! [SY25: $i] :
( ~ ( in @ SY25 @ ( sK2_B @ A ) )
| ~ ( in @ SY25 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ( sK1_SY0 != emptyset )
& ! [SY24: $i] :
( ( ( binintersect @ SY24 @ sK1_SY0 )
!= emptyset )
| ~ ( in @ SY24 @ sK1_SY0 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(17,plain,
( ( ~ ( ~ ( ( sK1_SY0 != emptyset ) )
| ~ ! [SX0: $i] :
( ( ( binintersect @ SX0 @ sK1_SY0 )
!= emptyset )
| ~ ( in @ SX0 @ sK1_SY0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,disjointsetsI1,foundationAx,nonempty,nonemptyE1]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ( ( binintersect @ SX0 @ SX1 )
= emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,disjointsetsI1,foundationAx,nonempty,nonemptyE1]) ).
thf(19,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ~ ( ~ ( in @ ( sK2_B @ SX0 ) @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ ( sK2_B @ SX0 ) )
| ~ ( in @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,disjointsetsI1,foundationAx,nonempty,nonemptyE1]) ).
thf(20,plain,
! [SV1: $i] :
( ( ( SV1 = emptyset )
| ( in @ ( sK3_Xx @ SV1 ) @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(21,plain,
( ( ~ ( ( sK1_SY0 != emptyset ) )
| ~ ! [SX0: $i] :
( ( ( binintersect @ SX0 @ sK1_SY0 )
!= emptyset )
| ~ ( in @ SX0 @ sK1_SY0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV2: $i] :
( ( ! [SY26: $i] :
( ~ ( ~ ( in @ ( sK4_Xx @ SY26 @ SV2 ) @ SV2 )
| ~ ( in @ ( sK4_Xx @ SY26 @ SV2 ) @ SY26 ) )
| ( ( binintersect @ SV2 @ SY26 )
= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i] :
( ( ! [SY27: $i] :
~ ( in @ SY27 @ SV3 )
| ~ ( ~ ( in @ ( sK2_B @ SV3 ) @ SV3 )
| ~ ! [SY28: $i] :
( ~ ( in @ SY28 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SY28 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i] :
( ( ( SV1 = emptyset )
= $true )
| ( ( in @ ( sK3_Xx @ SV1 ) @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ( sK1_SY0 != emptyset ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ! [SX0: $i] :
( ( ( binintersect @ SX0 @ sK1_SY0 )
!= emptyset )
| ~ ( in @ SX0 @ sK1_SY0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(27,plain,
! [SV2: $i,SV4: $i] :
( ( ~ ( ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV2 )
| ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV4 ) )
| ( ( binintersect @ SV2 @ SV4 )
= emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV3: $i] :
( ( ( ! [SY27: $i] :
~ ( in @ SY27 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK2_B @ SV3 ) @ SV3 )
| ~ ! [SY28: $i] :
( ~ ( in @ SY28 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SY28 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(29,plain,
( ( sK1_SY0 != emptyset )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ! [SX0: $i] :
( ( ( binintersect @ SX0 @ sK1_SY0 )
!= emptyset )
| ~ ( in @ SX0 @ sK1_SY0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV2 )
| ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV4 ) ) )
= $true )
| ( ( ( binintersect @ SV2 @ SV4 )
= emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( in @ SV5 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK2_B @ SV3 ) @ SV3 )
| ~ ! [SY28: $i] :
( ~ ( in @ SY28 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SY28 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
( ( sK1_SY0 = emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV6: $i] :
( ( ( ( binintersect @ SV6 @ sK1_SY0 )
!= emptyset )
| ~ ( in @ SV6 @ sK1_SY0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV2 )
| ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV4 ) )
= $false )
| ( ( ( binintersect @ SV2 @ SV4 )
= emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV3: $i,SV5: $i] :
( ( ( in @ SV5 @ SV3 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK2_B @ SV3 ) @ SV3 )
| ~ ! [SY28: $i] :
( ~ ( in @ SY28 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SY28 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV6: $i] :
( ( ( ( binintersect @ SV6 @ sK1_SY0 )
!= emptyset )
= $true )
| ( ( ~ ( in @ SV6 @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV2 ) )
= $false )
| ( ( ( binintersect @ SV2 @ SV4 )
= emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV4 ) )
= $false )
| ( ( ( binintersect @ SV2 @ SV4 )
= emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ( in @ ( sK2_B @ SV3 ) @ SV3 )
| ~ ! [SY28: $i] :
( ~ ( in @ SY28 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SY28 @ SV3 ) ) )
= $false )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV6: $i] :
( ( ( ( binintersect @ SV6 @ sK1_SY0 )
= emptyset )
= $false )
| ( ( ~ ( in @ SV6 @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV2: $i,SV4: $i] :
( ( ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV2 )
= $true )
| ( ( ( binintersect @ SV2 @ SV4 )
= emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: $i,SV4: $i] :
( ( ( in @ ( sK4_Xx @ SV4 @ SV2 ) @ SV4 )
= $true )
| ( ( ( binintersect @ SV2 @ SV4 )
= emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ( in @ ( sK2_B @ SV3 ) @ SV3 ) )
= $false )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ! [SY28: $i] :
( ~ ( in @ SY28 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SY28 @ SV3 ) ) )
= $false )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
! [SV6: $i] :
( ( ( in @ SV6 @ sK1_SY0 )
= $false )
| ( ( ( binintersect @ SV6 @ sK1_SY0 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV5: $i,SV3: $i] :
( ( ( in @ ( sK2_B @ SV3 ) @ SV3 )
= $true )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV5: $i,SV3: $i] :
( ( ( ! [SY28: $i] :
( ~ ( in @ SY28 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SY28 @ SV3 ) ) )
= $true )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV5: $i,SV3: $i,SV7: $i] :
( ( ( ~ ( in @ SV7 @ ( sK2_B @ SV3 ) )
| ~ ( in @ SV7 @ SV3 ) )
= $true )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(50,plain,
! [SV5: $i,SV3: $i,SV7: $i] :
( ( ( ~ ( in @ SV7 @ ( sK2_B @ SV3 ) ) )
= $true )
| ( ( ~ ( in @ SV7 @ SV3 ) )
= $true )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(51,plain,
! [SV5: $i,SV3: $i,SV7: $i] :
( ( ( in @ SV7 @ ( sK2_B @ SV3 ) )
= $false )
| ( ( ~ ( in @ SV7 @ SV3 ) )
= $true )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(52,plain,
! [SV5: $i,SV3: $i,SV7: $i] :
( ( ( in @ SV7 @ SV3 )
= $false )
| ( ( in @ SV7 @ ( sK2_B @ SV3 ) )
= $false )
| ( ( in @ SV5 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(53,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,52,47,46,43,42,33]) ).
thf(54,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU805^2 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.12/0.18 % Computer : n006.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Oct 6 15:35:07 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.22
% 0.12/0.22 No.of.Axioms: 0
% 0.12/0.22
% 0.12/0.22 Length.of.Defs: 759
% 0.12/0.22
% 0.12/0.22 Contains.Choice.Funs: false
% 0.12/0.22 .
% 0.12/0.22
% 0.12/0.22 ********************************
% 0.12/0.22 * All subproblems solved! *
% 0.12/0.22 ********************************
% 0.12/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:53,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.22
% 0.12/0.22 %**** Beginning of derivation protocol ****
% 0.12/0.22 % SZS output start CNFRefutation
% See solution above
% 0.12/0.22
% 0.12/0.22 %**** End of derivation protocol ****
% 0.12/0.22 %**** no. of clauses in derivation: 54 ****
% 0.12/0.22 %**** clause counter: 53 ****
% 0.12/0.22
% 0.12/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:53,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------