%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUM638^1 : 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 : n002.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 10:34:44 AM UTC 2026
% Result : Theorem 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 67 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 409 ( 245 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 347 ( 109 ~; 77 |; 6 &; 137 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 86 ( 37 ^; 49 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_nat,type,
nat: $tType ).
thf(tp_n_1,type,
n_1: nat ).
thf(tp_sK1_Xx_0,type,
sK1_Xx_0: nat ).
thf(tp_sK2_SY7,type,
sK2_SY7: nat ).
thf(tp_sK3_REN,type,
sK3_REN: $o ).
thf(tp_sK4_E,type,
sK4_E: nat ).
thf(tp_some,type,
some: ( nat > $o ) > $o ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_x,type,
x: nat ).
thf(1,axiom,
! [Xx: nat] :
( ( Xx != n_1 )
=> ( some
@ ^ [Xu: nat] :
( Xx
= ( suc @ Xu ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz3) ).
thf(2,axiom,
! [Xx: nat,Xy: nat] :
( ( ( suc @ Xx )
= ( suc @ Xy ) )
=> ( Xx = Xy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(3,axiom,
x != n_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
thf(4,conjecture,
~ ( ! [Xx_0: nat,Xy: nat] :
( ( x
= ( suc @ Xx_0 ) )
=> ( ( x
= ( suc @ Xy ) )
=> ( Xx_0 = Xy ) ) )
=> ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz3a) ).
thf(5,negated_conjecture,
( ( ~ ( ! [Xx_0: nat,Xy: nat] :
( ( x
= ( suc @ Xx_0 ) )
=> ( ( x
= ( suc @ Xy ) )
=> ( Xx_0 = Xy ) ) )
=> ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ~ ( ! [Xx_0: nat,Xy: nat] :
( ( x
= ( suc @ Xx_0 ) )
=> ( ( x
= ( suc @ Xy ) )
=> ( Xx_0 = Xy ) ) )
=> ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [Xx: nat] :
( ( Xx != n_1 )
=> ( some
@ ^ [Xu: nat] :
( Xx
= ( suc @ Xu ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [Xx: nat,Xy: nat] :
( ( ( suc @ Xx )
= ( suc @ Xy ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( x != n_1 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [Xx_0: nat,Xy: nat] :
( ( x
= ( suc @ Xx_0 ) )
=> ( ( x
= ( suc @ Xy ) )
=> ( Xx_0 = Xy ) ) )
=> ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ( sK3_REN
| ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) )
& ( sK3_REN
=> ( ( x
= ( suc @ sK1_Xx_0 ) )
& ( x
= ( suc @ sK2_SY7 ) )
& ( sK1_Xx_0 != sK2_SY7 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [Xx: nat] :
( ( Xx = n_1 )
| ( some
@ ^ [Xu: nat] :
( Xx
= ( suc @ Xu ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [Xx: nat,Xy: nat] :
( ( ( suc @ Xx )
!= ( suc @ Xy ) )
| ( Xx = Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(14,plain,
( ( x != n_1 )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(15,plain,
( ( x != n_1 )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [Xx: nat,Xy: nat] :
( ( ( suc @ Xx )
!= ( suc @ Xy ) )
| ( Xx = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [Xx: nat] :
( ( Xx = n_1 )
| ( some
@ ^ [Xu: nat] :
( Xx
= ( suc @ Xu ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ( sK3_REN
| ~ ( some
@ ^ [Xu: nat] :
( x
= ( suc @ Xu ) ) ) )
& ( sK3_REN
=> ( ( x
= ( suc @ sK1_Xx_0 ) )
& ( x
= ( suc @ sK2_SY7 ) )
& ( sK1_Xx_0 != sK2_SY7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(19,plain,
( ( ~ ( ~ ( sK3_REN
| ~ ( some
@ ^ [SX0: nat] :
( x
= ( suc @ SX0 ) ) ) )
| ~ ( ~ sK3_REN
| ~ ( ( x
!= ( suc @ sK1_Xx_0 ) )
| ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(20,plain,
( ( x = n_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV1: nat] :
( ( ! [SY8: nat] :
( ( ( suc @ SV1 )
!= ( suc @ SY8 ) )
| ( SV1 = SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV2: nat] :
( ( ( SV2 = n_1 )
| ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
( ( ~ ( sK3_REN
| ~ ( some
@ ^ [SX0: nat] :
( x
= ( suc @ SX0 ) ) ) )
| ~ ( ~ sK3_REN
| ~ ( ( x
!= ( suc @ sK1_Xx_0 ) )
| ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV3: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
!= ( suc @ SV3 ) )
| ( SV1 = SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: nat] :
( ( ( SV2 = n_1 )
= $true )
| ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( sK3_REN
| ~ ( some
@ ^ [SX0: nat] :
( x
= ( suc @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( ~ sK3_REN
| ~ ( ( x
!= ( suc @ sK1_Xx_0 ) )
| ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
! [SV3: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
!= ( suc @ SV3 ) )
= $true )
| ( ( SV1 = SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( sK3_REN
| ~ ( some
@ ^ [SX0: nat] :
( x
= ( suc @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ sK3_REN
| ~ ( ( x
!= ( suc @ sK1_Xx_0 ) )
| ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
= ( suc @ SV3 ) )
= $false )
| ( ( SV1 = SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( sK3_REN = $true )
| ( ( ~ ( some
@ ^ [SX0: nat] :
( x
= ( suc @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ~ sK3_REN ) = $true )
| ( ( ~ ( ( x
!= ( suc @ sK1_Xx_0 ) )
| ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ( some
@ ^ [SX0: nat] :
( x
= ( suc @ SX0 ) ) )
= $false )
| ( sK3_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(35,plain,
( ( sK3_REN = $false )
| ( ( ~ ( ( x
!= ( suc @ sK1_Xx_0 ) )
| ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(36,plain,
( ( ( ( x
!= ( suc @ sK1_Xx_0 ) )
| ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) )
= $false )
| ( sK3_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(37,plain,
( ( ( x
!= ( suc @ sK1_Xx_0 ) )
= $false )
| ( sK3_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(38,plain,
( ( ( ~ ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) )
= $false )
| ( sK3_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(39,plain,
( ( ( x
= ( suc @ sK1_Xx_0 ) )
= $true )
| ( sK3_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(40,plain,
( ( ( ~ ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) ) )
= $true )
| ( sK3_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(41,plain,
( ( ( ( x
!= ( suc @ sK2_SY7 ) )
| ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) )
= $false )
| ( sK3_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(42,plain,
( ( ( x
!= ( suc @ sK2_SY7 ) )
= $false )
| ( sK3_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(43,plain,
( ( ( ~ ( ( sK1_Xx_0 != sK2_SY7 ) ) )
= $false )
| ( sK3_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(44,plain,
( ( ( x
= ( suc @ sK2_SY7 ) )
= $true )
| ( sK3_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
( ( ( sK1_Xx_0 != sK2_SY7 )
= $true )
| ( sK3_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
( ( ( sK1_Xx_0 = sK2_SY7 )
= $false )
| ( sK3_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(47,plain,
! [SV2: nat] :
( ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true )
| ( ( ( SV2 = n_1 )
= ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[25]) ).
thf(49,plain,
! [SV2: nat] :
( ( ( ~ ( ( SV2 = n_1 )
| ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) ) )
| ~ ( ( SV2 != n_1 )
| ~ ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) ) ) )
= $false )
| ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV2: nat] :
( ( ( ~ ( ( SV2 = n_1 )
| ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) ) ) )
= $false )
| ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV2: nat] :
( ( ( ( SV2 = n_1 )
| ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) ) )
= $true )
| ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(61,plain,
! [SV2: nat] :
( ( ( SV2 = n_1 )
= $true )
| ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true )
| ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(71,plain,
! [SV2: nat] :
( ( ( SV2 = n_1 )
= $true )
| ( ( some
@ ^ [SY9: nat] :
( SV2
= ( suc @ SY9 ) ) )
= $true ) ),
inference(sim,[status(thm)],[61]) ).
thf(72,plain,
! [SV4: nat] :
( ( ( SV4 = n_1 )
= $true )
| ( ( some
@ ^ [SX0: nat] :
( SV4
= ( suc @ SX0 ) ) )
= $true ) ),
inference(rename,[status(thm)],[25]) ).
thf(74,plain,
! [SV4: nat] :
( ( ( ( SV4 = n_1 )
= ( x = n_1 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] :
( SV4
= ( suc @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[72,20]) ).
thf(76,plain,
( ( ( some
@ ^ [SX0: nat] :
( n_1
= ( suc @ SX0 ) ) )
= $true )
| ( ( n_1 = x )
= $false ) ),
inference(extuni,[status(esa)],[74:[bind(SV4,$thf( n_1 ))]]) ).
thf(77,plain,
( ( some
@ ^ [SX0: nat] :
( x
= ( suc @ SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[74:[bind(SV4,$thf( x ))]]) ).
thf(79,plain,
! [SV5: nat,SV6: nat] :
( ( ( ( suc @ SV6 )
= ( suc @ SV5 ) )
= $false )
| ( ( SV6 = SV5 )
= $true ) ),
inference(rename,[status(thm)],[31]) ).
thf(84,plain,
! [SV5: nat,SV6: nat,SV4: nat] :
( ( ( ( ( suc @ SV6 )
= ( suc @ SV5 ) )
= ( SV4 = n_1 ) )
= $false )
| ( ( SV6 = SV5 )
= $true )
| ( ( some
@ ^ [SX0: nat] :
( SV4
= ( suc @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[79,72]) ).
thf(85,plain,
! [SV5: nat,SV6: nat] :
( ( ( ( SV6 = SV5 )
= ( x = n_1 ) )
= $false )
| ( ( ( suc @ SV6 )
= ( suc @ SV5 ) )
= $false ) ),
inference(res,[status(thm)],[79,20]) ).
thf(86,plain,
( ( n_1 = x )
= $false ),
inference(extuni,[status(esa)],[85:[bind(SV6,$thf( n_1 )),bind(SV5,$thf( x ))]]) ).
thf(87,plain,
( ( ( suc @ n_1 )
= ( suc @ x ) )
= $false ),
inference(extuni,[status(esa)],[85:[bind(SV6,$thf( n_1 )),bind(SV5,$thf( x ))]]) ).
thf(88,plain,
( ( x = n_1 )
= $false ),
inference(extuni,[status(esa)],[85:[bind(SV5,$thf( n_1 )),bind(SV6,$thf( x ))]]) ).
thf(89,plain,
( ( ( suc @ x )
= ( suc @ n_1 ) )
= $false ),
inference(extuni,[status(esa)],[85:[bind(SV5,$thf( n_1 )),bind(SV6,$thf( x ))]]) ).
thf(90,plain,
! [SV6: nat,SV5: nat] :
( ( ( some
@ ^ [SX0: nat] :
( ( suc @ SV5 )
= ( suc @ SX0 ) ) )
= $true )
| ( ( SV6 = SV5 )
= $true )
| ( ( ( suc @ SV6 )
= n_1 )
= $false ) ),
inference(extuni,[status(esa)],[84:[bind(SV4,$thf( suc @ SV5 ))]]) ).
thf(91,plain,
! [SV5: nat,SV6: nat] :
( ( ( some
@ ^ [SX0: nat] :
( ( suc @ SV6 )
= ( suc @ SX0 ) ) )
= $true )
| ( ( SV6 = SV5 )
= $true )
| ( ( ( suc @ SV5 )
= n_1 )
= $false ) ),
inference(extuni,[status(esa)],[84:[bind(SV4,$thf( suc @ SV6 ))]]) ).
thf(93,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,91,90,89,88,87,86,79,77,76,72,71,46,44,39,34]) ).
thf(94,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM638^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.18 % Computer : n002.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Oct 6 13:33:57 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
% 0.10/0.27
% 0.10/0.27 No.of.Axioms: 3
% 0.10/0.27
% 0.10/0.27 Length.of.Defs: 0
% 0.10/0.27
% 0.10/0.27 Contains.Choice.Funs: false
% 0.10/0.27 .
% 0.10/0.27
% 0.10/0.27 ********************************
% 0.10/0.27 * All subproblems solved! *
% 0.10/0.27 ********************************
% 0.10/0.27 % 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:93,loop_count:5,foatp_calls:3,translation:fof_experiment)
% 0.10/0.27
% 0.10/0.27 %**** Beginning of derivation protocol ****
% 0.10/0.27 % SZS output start CNFRefutation
% See solution above
% 0.10/0.27
% 0.10/0.27 %**** End of derivation protocol ****
% 0.10/0.27 %**** no. of clauses in derivation: 67 ****
% 0.10/0.27 %**** clause counter: 93 ****
% 0.10/0.27
% 0.10/0.27 % 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:93,loop_count:5,foatp_calls:3,translation:fof_experiment)
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