%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU927^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n019.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 10:49:15 AM UTC 2026
% Result : Theorem 0.11s 0.24s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 42 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 194 ( 81 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 385 ( 5 ~; 23 |; 5 &; 340 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 170 ( 143 ^; 27 !; 0 ?; 170 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xf,type,
sK1_Xf: a > a ).
thf(tp_sK2_SY6,type,
sK2_SY6: ( a > a ) > $o ).
thf(tp_sK3_E,type,
sK3_E: a ).
thf(tp_sK4_E,type,
sK4_E: a ).
thf(tp_sK5_E,type,
sK5_E: a ).
thf(tp_sK6_E,type,
sK6_E: ( a > a ) > a ).
thf(tp_sK7_E,type,
sK7_E: ( a > a > a ) > a ).
thf(tp_sK8_E,type,
sK8_E: a ).
thf(tp_sK9_E,type,
sK9_E: ( a > a > a > a ) > a ).
thf(1,conjecture,
! [Xf: a > a,Xp: ( a > a ) > $o] :
( ( ( Xp
@ ^ [Xu: a] : Xu )
& ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xf @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM92_pme) ).
thf(2,negated_conjecture,
( ( ! [Xf: a > a,Xp: ( a > a ) > $o] :
( ( ( Xp
@ ^ [Xu: a] : Xu )
& ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xf @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xf: a > a,Xp: ( a > a ) > $o] :
( ( ( Xp
@ ^ [Xu: a] : Xu )
& ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xf @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY6: ( a > a ) > $o] :
( ( ( SY6
@ ^ [Xu: a] : Xu )
& ! [SY8: a > a] :
( ( SY6 @ SY8 )
=> ( SY6
@ ^ [SY9: a] : ( sK1_Xf @ ( SY8 @ SY9 ) ) ) ) )
=> ( SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ( sK2_SY6
@ ^ [Xu: a] : Xu )
& ! [SY12: a > a] :
( ( sK2_SY6 @ SY12 )
=> ( sK2_SY6
@ ^ [SY9: a] : ( sK1_Xf @ ( SY12 @ SY9 ) ) ) ) )
=> ( sK2_SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( sK2_SY6
@ ^ [Xu: a] : Xu )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY12: a > a] :
( ( sK2_SY6 @ SY12 )
=> ( sK2_SY6
@ ^ [SY9: a] : ( sK1_Xf @ ( SY12 @ SY9 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( sK2_SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ( sK2_SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY12: a > a] :
( ( sK2_SY6 @ SY12 )
=> ( sK2_SY6
@ ^ [SY9: a] : ( sK1_Xf @ ( SY12 @ SY9 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( sK2_SY6
@ ^ [Xu: a] : Xu )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ ( sK2_SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [SX0: a > a] :
( ~ ( sK2_SY6 @ SX0 )
| ( sK2_SY6
@ ^ [SX1: a] : ( sK1_Xf @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
( ( sK2_SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: a > a] :
( ( ~ ( sK2_SY6 @ SV1 )
| ( sK2_SY6
@ ^ [SY15: a] : ( sK1_Xf @ ( SV1 @ SY15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: a > a] :
( ( ( ~ ( sK2_SY6 @ SV1 ) )
= $true )
| ( ( sK2_SY6
@ ^ [SY15: a] : ( sK1_Xf @ ( SV1 @ SY15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: a > a] :
( ( ( sK2_SY6 @ SV1 )
= $false )
| ( ( sK2_SY6
@ ^ [SY15: a] : ( sK1_Xf @ ( SV1 @ SY15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(18,plain,
( ( ( sK2_SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) )
= ( sK2_SY6
@ ^ [Xu: a] : Xu ) )
= $false ),
inference(res,[status(thm)],[14,11]) ).
thf(19,plain,
( ( ( sK1_Xf @ ( sK1_Xf @ sK3_E ) )
= sK3_E )
= $false ),
inference(extuni,[status(esa)],[18]) ).
thf(21,plain,
! [SV2: a > a] :
( ( ( sK2_SY6 @ SV2 )
= $false )
| ( ( sK2_SY6
@ ^ [SX0: a] : ( sK1_Xf @ ( SV2 @ SX0 ) ) )
= $true ) ),
inference(rename,[status(thm)],[17]) ).
thf(25,plain,
! [SV2: a > a] :
( ( ( ( sK2_SY6
@ ^ [SX0: a] : ( sK1_Xf @ ( SV2 @ SX0 ) ) )
= ( sK2_SY6
@ ^ [SY10: a] : ( sK1_Xf @ ( sK1_Xf @ SY10 ) ) ) )
= $false )
| ( ( sK2_SY6 @ SV2 )
= $false ) ),
inference(res,[status(thm)],[21,14]) ).
thf(26,plain,
! [SV2: a > a] :
( ( ( ( sK2_SY6 @ SV2 )
= ( sK2_SY6
@ ^ [Xu: a] : Xu ) )
= $false )
| ( ( sK2_SY6
@ ^ [SX0: a] : ( sK1_Xf @ ( SV2 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[21,11]) ).
thf(27,plain,
( ( sK2_SY6
@ ^ [SX0: a] : ( sK1_Xf @ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[26:[bind(SV2,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(28,plain,
! [SV25: a > a > a > a] :
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : ( sK1_Xf @ ( SV25 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xf
@ ( SV25
@ ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : ( sK1_Xf @ ( SV25 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: a,SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : ( sK1_Xf @ ( SV25 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK9_E
@ ^ [SX0: a,SX1: a,SX2: a] : ( sK1_Xf @ ( SV25 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( SV25
@ ( sK7_E
@ ^ [SX1: a,SX2: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX3: a] : ( sK1_Xf @ ( SV25 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( sK9_E
@ ^ [SX1: a,SX2: a,SX3: a] : ( sK1_Xf @ ( SV25 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX2: a] : ( sK1_Xf @ ( SV25 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ))]]) ).
thf(29,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : SX2 ) ) ) ) )
= $false )
| ( ( ( sK9_E
@ ^ [SX0: a,SX1: a,SX2: a] : SX2 )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] : SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX2: a] : SX2 ) ) ) ) ))]]) ).
thf(30,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : SX1 ) ) ) ) )
= $false )
| ( ( ( sK7_E
@ ^ [SX0: a,SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : SX1 ) ) )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] :
( sK9_E
@ ^ [SX1: a,SX2: a,SX3: a] : SX2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX2: a] : SX1 ) ) ) ) ))]]) ).
thf(31,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : SX0 ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX2: a] : SX0 ) ) ) ) )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] :
( sK7_E
@ ^ [SX1: a,SX2: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX3: a] : SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX2: a] : SX0 ) ) ) ) ))]]) ).
thf(32,plain,
! [SV18: a > a > a > a] :
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ ( sK6_E @ ( SV18 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV18
@ ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ ( sK6_E @ ( SV18 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: a,SX1: a] : ( sK1_Xf @ ( sK6_E @ ( SV18 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ( SV18
@ ( sK7_E
@ ^ [SX1: a,SX2: a] : ( sK1_Xf @ ( sK6_E @ ( SV18 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ ( sK6_E @ ( SV18 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(33,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ SX1 ) ) ) )
= $false )
| ( ( ( sK7_E
@ ^ [SX0: a,SX1: a] : ( sK1_Xf @ SX1 ) )
= ( sK6_E
@ ^ [SX0: a] : ( sK1_Xf @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ SX1 ) ) ) ))]]) ).
thf(34,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ SX0 ) ) ) )
= $false )
| ( ( ( sK6_E
@ ^ [SY25: a] : ( sK1_Xf @ sK8_E ) )
= ( sK7_E
@ ^ [SX1: a,SX2: a] : ( sK1_Xf @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ SX0 ) ) ) ))]]) ).
thf(35,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xf
@ ( sK6_E
@ ^ [SY25: a] : ( sK1_Xf @ sK8_E ) ) )
= ( sK1_Xf
@ ( sK7_E
@ ^ [SX1: a,SX2: a] : ( sK1_Xf @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ SX0 ) ) ) ))]]) ).
thf(36,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ SX0 ) ) ) )
= $false )
| ( ( ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ SX0 ) ) ) )
= ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK7_E
@ ^ [SX1: a,SX2: a] : ( sK1_Xf @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ SX0 ) ) ) ))]]) ).
thf(37,plain,
! [SV13: a > a > a] :
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ ( SV13 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_Xf
@ ( SV13
@ ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : ( sK1_Xf @ ( SV13 @ SX0 @ SX1 ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: a,SX1: a] : ( sK1_Xf @ ( SV13 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( SV13
@ ( sK7_E
@ ^ [SX1: a,SX2: a] : ( sK1_Xf @ ( SV13 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : ( sK1_Xf @ ( SV13 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(38,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : SX1 ) ) )
= $false )
| ( ( ( sK7_E
@ ^ [SX0: a,SX1: a] : SX1 )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] : SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : SX1 ) ) ))]]) ).
thf(39,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : SX0 ) ) )
= $false )
| ( ( ( sK6_E
@ ^ [SX0: a] :
( sK1_Xf
@ ( sK6_E
@ ^ [SX1: a] : SX0 ) ) )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] :
( sK7_E
@ ^ [SX1: a,SX2: a] : SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ^ [SX1: a] : SX0 ) ) ))]]) ).
thf(40,plain,
! [SV8: a > a > a] :
( ( ( sK2_SY6
@ ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ( SV8 @ SX0 ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV8
@ ( sK6_E
@ ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ( SV8 @ SX0 ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ( SV8 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( sK6_E @ ( SV8 @ SX0 ) ) ) ))]]) ).
thf(41,plain,
( ( sK2_SY6
@ ^ [SX0: a] : ( sK1_Xf @ SX0 ) )
= $false ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ SX0 ) ))]]) ).
thf(42,plain,
! [SV5: a > a] :
( ( ( sK2_SY6
@ ^ [SX0: a] : ( sK1_Xf @ ( SV5 @ SX0 ) ) )
= $false )
| ( ( ( sK1_Xf
@ ( SV5
@ ( sK6_E
@ ^ [SX0: a] : ( sK1_Xf @ ( SV5 @ SX0 ) ) ) ) )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] : ( sK1_Xf @ ( SV5 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : ( sK1_Xf @ ( SV5 @ SX0 ) ) ))]]) ).
thf(43,plain,
( ( ( sK2_SY6
@ ^ [SX0: a] : SX0 )
= $false )
| ( ( ( sK6_E
@ ^ [SX0: a] : SX0 )
= ( sK1_Xf
@ ( sK6_E
@ ^ [SX0: a] : SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV2,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(44,plain,
! [SV2: a > a] :
( ( ( sK2_SY6 @ SV2 )
= $false )
| ( ( ( sK1_Xf @ ( SV2 @ ( sK6_E @ SV2 ) ) )
= ( sK1_Xf @ ( sK1_Xf @ ( sK6_E @ SV2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25]) ).
thf(45,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,21,19,14]) ).
thf(46,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU927^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.11/0.17 % Computer : n019.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 15:38:16 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.24
% 0.11/0.24 No.of.Axioms: 0
% 0.11/0.24
% 0.11/0.24 Length.of.Defs: 0
% 0.11/0.24
% 0.11/0.24 Contains.Choice.Funs: false
% 0.11/0.24 .
% 0.11/0.24
% 0.11/0.24 ********************************
% 0.11/0.24 * All subproblems solved! *
% 0.11/0.24 ********************************
% 0.11/0.24 % SZS status Theorem for /export/starexec/sandbox2/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:45,loop_count:5,foatp_calls:2,translation:fof_full)
% 0.11/0.24
% 0.11/0.24 %**** Beginning of derivation protocol ****
% 0.11/0.24 % SZS output start CNFRefutation
% See solution above
% 0.11/0.24
% 0.11/0.24 %**** End of derivation protocol ****
% 0.11/0.24 %**** no. of clauses in derivation: 42 ****
% 0.11/0.24 %**** clause counter: 45 ****
% 0.11/0.24
% 0.11/0.24 % SZS status Theorem for /export/starexec/sandbox2/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:45,loop_count:5,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------