%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU657^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/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 10:46:00 AM UTC 2026
% Result : Theorem 0.07s 0.23s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 41 unt; 0 typ; 4 def)
% Number of atoms : 169 ( 84 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 740 ( 117 ~; 27 |; 10 &; 574 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 63 ( 3 ^; 50 !; 10 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_iskpair,type,
iskpair: $i > $o ).
thf(tp_kfst,type,
kfst: $i > $i ).
thf(tp_kfstpairEq,type,
kfstpairEq: $o ).
thf(tp_kpair,type,
kpair: $i > $i > $i ).
thf(tp_ksnd,type,
ksnd: $i > $i ).
thf(tp_ksndpairEq,type,
ksndpairEq: $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY22,type,
sK2_SY22: $i ).
thf(tp_sK3_SY24,type,
sK3_SY24: $i ).
thf(tp_setadjoin,type,
setadjoin: $i > $i > $i ).
thf(tp_setunion,type,
setunion: $i > $i ).
thf(iskpair,definition,
( iskpair
= ( ^ [A: $i] :
? [Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
& ? [Xy: $i] :
( ( in @ Xy @ ( setunion @ A ) )
& ( A
= ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iskpair) ).
thf(kfstpairEq,definition,
( kfstpairEq
= ( ! [Xx: $i,Xy: $i] :
( ( kfst @ ( kpair @ Xx @ Xy ) )
= Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kfstpairEq) ).
thf(kpair,definition,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kpair) ).
thf(ksndpairEq,definition,
( ksndpairEq
= ( ! [Xx: $i,Xy: $i] :
( ( ksnd @ ( kpair @ Xx @ Xy ) )
= Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ksndpairEq) ).
thf(1,conjecture,
( kfstpairEq
=> ( ksndpairEq
=> ! [Xu: $i] :
( ( iskpair @ Xu )
=> ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) )
= Xu ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kpairsurjEq) ).
thf(2,negated_conjecture,
( ( kfstpairEq
=> ( ksndpairEq
=> ! [Xu: $i] :
( ( iskpair @ Xu )
=> ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) )
= Xu ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY4: $i,SY5: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ SY4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY4 @ ( setadjoin @ SY5 @ emptyset ) ) @ emptyset ) ) )
= SY4 )
=> ( ! [SY7: $i,SY8: $i] :
( ( ksnd @ ( setadjoin @ ( setadjoin @ SY7 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY7 @ ( setadjoin @ SY8 @ emptyset ) ) @ emptyset ) ) )
= SY8 )
=> ! [SY0: $i] :
( ? [SY1: $i] :
( ( in @ SY1 @ ( setunion @ SY0 ) )
& ? [SY2: $i] :
( ( in @ SY2 @ ( setunion @ SY0 ) )
& ( SY0
= ( setadjoin @ ( setadjoin @ SY1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY1 @ ( setadjoin @ SY2 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ ( setadjoin @ ( ksnd @ SY0 ) @ emptyset ) ) @ emptyset ) )
= SY0 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,iskpair,kfstpairEq,kpair,ksndpairEq]) ).
thf(4,plain,
( ( ! [SY4: $i,SY5: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ SY4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY4 @ ( setadjoin @ SY5 @ emptyset ) ) @ emptyset ) ) )
= SY4 ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY7: $i,SY8: $i] :
( ( ksnd @ ( setadjoin @ ( setadjoin @ SY7 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY7 @ ( setadjoin @ SY8 @ emptyset ) ) @ emptyset ) ) )
= SY8 ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [SY0: $i] :
( ? [SY1: $i] :
( ( in @ SY1 @ ( setunion @ SY0 ) )
& ? [SY2: $i] :
( ( in @ SY2 @ ( setunion @ SY0 ) )
& ( SY0
= ( setadjoin @ ( setadjoin @ SY1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY1 @ ( setadjoin @ SY2 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ ( setadjoin @ ( ksnd @ SY0 ) @ emptyset ) ) @ emptyset ) )
= SY0 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [SY0: $i] :
( ? [SY1: $i] :
( ( in @ SY1 @ ( setunion @ SY0 ) )
& ? [SY2: $i] :
( ( in @ SY2 @ ( setunion @ SY0 ) )
& ( SY0
= ( setadjoin @ ( setadjoin @ SY1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY1 @ ( setadjoin @ SY2 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ ( setadjoin @ ( ksnd @ SY0 ) @ emptyset ) ) @ emptyset ) )
= SY0 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY7: $i,SY8: $i] :
( ( ksnd @ ( setadjoin @ ( setadjoin @ SY7 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY7 @ ( setadjoin @ SY8 @ emptyset ) ) @ emptyset ) ) )
= SY8 ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [SY4: $i,SY5: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ SY4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY4 @ ( setadjoin @ SY5 @ emptyset ) ) @ emptyset ) ) )
= SY4 ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(10,plain,
( ( ~ ! [SY0: $i] :
( ? [SY1: $i] :
( ( in @ SY1 @ ( setunion @ SY0 ) )
& ? [SY2: $i] :
( ( in @ SY2 @ ( setunion @ SY0 ) )
& ( SY0
= ( setadjoin @ ( setadjoin @ SY1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY1 @ ( setadjoin @ SY2 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ SY0 ) @ ( setadjoin @ ( ksnd @ SY0 ) @ emptyset ) ) @ emptyset ) )
= SY0 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ! [SX0: $i] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ ( setunion @ SX0 ) )
| ( SX0
!= ( setadjoin @ ( setadjoin @ SX1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SX1 @ ( setadjoin @ SX2 @ emptyset ) ) @ emptyset ) ) ) ) )
| ( ( setadjoin @ ( setadjoin @ ( kfst @ SX0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ SX0 ) @ ( setadjoin @ ( ksnd @ SX0 ) @ emptyset ) ) @ emptyset ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,iskpair,kfstpairEq,kpair,ksndpairEq]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY20: $i] :
( ( ksnd @ ( setadjoin @ ( setadjoin @ SV1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SV1 @ ( setadjoin @ SY20 @ emptyset ) ) @ emptyset ) ) )
= SY20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(13,plain,
! [SV2: $i] :
( ( ! [SY21: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ SV2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SV2 @ ( setadjoin @ SY21 @ emptyset ) ) @ emptyset ) ) )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(14,plain,
( ( ! [SX0: $i] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ ( setunion @ SX0 ) )
| ( SX0
!= ( setadjoin @ ( setadjoin @ SX1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SX1 @ ( setadjoin @ SX2 @ emptyset ) ) @ emptyset ) ) ) ) )
| ( ( setadjoin @ ( setadjoin @ ( kfst @ SX0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ SX0 ) @ ( setadjoin @ ( ksnd @ SX0 ) @ emptyset ) ) @ emptyset ) )
= SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(15,plain,
! [SV3: $i,SV1: $i] :
( ( ( ksnd @ ( setadjoin @ ( setadjoin @ SV1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SV1 @ ( setadjoin @ SV3 @ emptyset ) ) @ emptyset ) ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV4: $i,SV2: $i] :
( ( ( kfst @ ( setadjoin @ ( setadjoin @ SV2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SV2 @ ( setadjoin @ SV4 @ emptyset ) ) @ emptyset ) ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ ( setunion @ sK1_SX0 ) )
| ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( in @ SY23 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY22 @ ( setadjoin @ SY23 @ emptyset ) ) @ emptyset ) ) ) ) )
| ( ( setadjoin @ ( setadjoin @ ( kfst @ sK1_SX0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ sK1_SX0 ) @ ( setadjoin @ ( ksnd @ sK1_SX0 ) @ emptyset ) ) @ emptyset ) )
= sK1_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(18,plain,
( ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ ( setunion @ sK1_SX0 ) )
| ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( in @ SY23 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY22 @ ( setadjoin @ SY23 @ emptyset ) ) @ emptyset ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(19,plain,
( ( ( setadjoin @ ( setadjoin @ ( kfst @ sK1_SX0 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ sK1_SX0 ) @ ( setadjoin @ ( ksnd @ sK1_SX0 ) @ emptyset ) ) @ emptyset ) )
= sK1_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ ( setunion @ sK1_SX0 ) )
| ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( in @ SY23 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY22 @ ( setadjoin @ SY23 @ emptyset ) ) @ emptyset ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ ( setunion @ sK1_SX0 ) )
| ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( in @ SY23 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ SY22 @ ( setadjoin @ SY23 @ emptyset ) ) @ emptyset ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
( ( ~ ~ ( ~ ( in @ sK2_SY22 @ ( setunion @ sK1_SX0 ) )
| ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ SY24 @ emptyset ) ) @ emptyset ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(23,plain,
( ( ~ ( ~ ( in @ sK2_SY22 @ ( setunion @ sK1_SX0 ) )
| ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ SY24 @ emptyset ) ) @ emptyset ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(24,plain,
( ( ~ ( in @ sK2_SY22 @ ( setunion @ sK1_SX0 ) )
| ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ SY24 @ emptyset ) ) @ emptyset ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(25,plain,
( ( ~ ( in @ sK2_SY22 @ ( setunion @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(26,plain,
( ( ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ SY24 @ emptyset ) ) @ emptyset ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( in @ sK2_SY22 @ ( setunion @ sK1_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ SY24 @ emptyset ) ) @ emptyset ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ SY24 @ emptyset ) ) @ emptyset ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(30,plain,
( ( ~ ~ ( ~ ( in @ sK3_SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ sK3_SY24 @ emptyset ) ) @ emptyset ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(31,plain,
( ( ~ ( ~ ( in @ sK3_SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ sK3_SY24 @ emptyset ) ) @ emptyset ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(32,plain,
( ( ~ ( in @ sK3_SY24 @ ( setunion @ sK1_SX0 ) )
| ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ sK3_SY24 @ emptyset ) ) @ emptyset ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(33,plain,
( ( ~ ( in @ sK3_SY24 @ ( setunion @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(34,plain,
( ( sK1_SX0
!= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ sK3_SY24 @ emptyset ) ) @ emptyset ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( in @ sK3_SY24 @ ( setunion @ sK1_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(36,plain,
( ( sK1_SX0
= ( setadjoin @ ( setadjoin @ sK2_SY22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2_SY22 @ ( setadjoin @ sK3_SY24 @ emptyset ) ) @ emptyset ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(37,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,36,35,27,19,16]) ).
thf(38,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU657^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/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 15:29:52 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.23
% 0.07/0.23 No.of.Axioms: 0
% 0.07/0.23
% 0.07/0.23 Length.of.Defs: 849
% 0.07/0.23
% 0.07/0.23 Contains.Choice.Funs: false
% 0.07/0.23 .
% 0.07/0.23
% 0.07/0.23 ********************************
% 0.07/0.23 * All subproblems solved! *
% 0.07/0.23 ********************************
% 0.07/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:37,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.23
% 0.07/0.23 %**** Beginning of derivation protocol ****
% 0.07/0.23 % SZS output start CNFRefutation
% See solution above
% 0.07/0.23
% 0.07/0.23 %**** End of derivation protocol ****
% 0.07/0.23 %**** no. of clauses in derivation: 38 ****
% 0.07/0.23 %**** clause counter: 37 ****
% 0.07/0.23
% 0.07/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:37,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------