%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO226^5 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 11:07:52 AM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 1
% Syntax : Number of formulae : 70 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 340 ( 177 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1572 ( 626 ~; 100 |; 0 &; 834 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 124 ( 124 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 384 ( 304 ^; 80 !; 0 ?; 384 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY4,type,
sK2_SY4: $i ).
thf(tp_sK3_SY9,type,
sK3_SY9: ( $i > $i > $o ) > $i ).
thf(1,conjecture,
! [X: $i,Y: $i] :
( ! [R: $i > $i > $o] :
( ! [Z: $i] : ( R @ Z @ Z )
=> ( R @ X @ Y ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM47B) ).
thf(2,negated_conjecture,
( ( ! [X: $i,Y: $i] :
( ! [R: $i > $i > $o] :
( ! [Z: $i] : ( R @ Z @ Z )
=> ( R @ X @ Y ) )
=> ( X = Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: $i,Y: $i] :
( ! [R: $i > $i > $o] :
( ! [Z: $i] : ( R @ Z @ Z )
=> ( R @ X @ Y ) )
=> ( X = Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY4: $i] :
( ! [SY5: $i > $i > $o] :
( ! [Z: $i] : ( SY5 @ Z @ Z )
=> ( SY5 @ sK1_X @ SY4 ) )
=> ( sK1_X = SY4 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY7: $i > $i > $o] :
( ! [Z: $i] : ( SY7 @ Z @ Z )
=> ( SY7 @ sK1_X @ sK2_SY4 ) )
=> ( sK1_X = sK2_SY4 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY7: $i > $i > $o] :
( ! [Z: $i] : ( SY7 @ Z @ Z )
=> ( SY7 @ sK1_X @ sK2_SY4 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( sK1_X = sK2_SY4 )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( sK1_X != sK2_SY4 )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY7: $i > $i > $o] :
( ! [Z: $i] : ( SY7 @ Z @ Z )
=> ( SY7 @ sK1_X @ sK2_SY4 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(10,plain,
( ( sK1_X != sK2_SY4 )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ! [SX1: $i] : ( SX0 @ SX1 @ SX1 )
| ( SX0 @ sK1_X @ sK2_SY4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( sK1_X = sK2_SY4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i > $i > $o] :
( ( ~ ! [SY9: $i] : ( SV1 @ SY9 @ SY9 )
| ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ! [SY9: $i] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: $i > $i > $o] :
( ( ( ! [SY9: $i] : ( SV1 @ SY9 @ SY9 ) )
= $false )
| ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(16,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(17,plain,
( ( ( ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK1_X = sK2_SY4 )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[16:[bind(SV1,$thf( ^ [SV3: $i] : ^ [SV2: $i] : ( SV3 = SV2 ) ))]]) ).
thf(18,plain,
( ( sK1_X = sK2_SY4 )
= $true ),
inference(sim,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false )
| ( ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= ( ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
| ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
| ~ ( ~ ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
| ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[19]) ).
thf(21,plain,
! [SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= ( ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
| ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
| ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false )
| ( ( ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $false )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(33,plain,
! [SV28: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extuni,[status(esa)],[21:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV28 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(34,plain,
! [SV23: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV23 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extuni,[status(esa)],[21:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( SV23 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(37,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV18 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extuni,[status(esa)],[21:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( SV18 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(38,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ~ ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV13 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extuni,[status(esa)],[21:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( SV13 @ SX0 @ SX1 ) ) ))]]) ).
thf(41,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV8 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extuni,[status(esa)],[21:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV8 @ SX0 @ SX1 ) ))]]) ).
thf(42,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV8 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV13 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(46,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ~ ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV18 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(49,plain,
! [SV23: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV23 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(50,plain,
! [SV28: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(52,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV8 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(55,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV13 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV18 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(59,plain,
! [SV23: $i > $i > $o] :
( ( ( ~ ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV23 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV28: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(62,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(65,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( SV13 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(66,plain,
! [SV18: $i > $i > $o] :
( ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV18 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(69,plain,
! [SV23: $i > $i > $o] :
( ( ( ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV23 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(70,plain,
! [SV28: $i > $i > $o] :
( ( ( ~ ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(72,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(75,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ sK1_X @ sK2_SY4 ) )
= $false )
| ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV18: $i > $i > $o] :
( ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV18 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(79,plain,
! [SV23: $i > $i > $o] :
( ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV23 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV28: $i > $i > $o] :
( ( ( ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(84,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(87,plain,
! [SV23: $i > $i > $o] :
( ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( SV23 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV28: $i > $i > $o] :
( ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(90,plain,
! [SV18: $i > $i > $o] :
( ( ( SV18 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV23: $i > $i > $o] :
( ( ( ~ ( SV23 @ sK1_X @ sK2_SY4 ) )
= $false )
| ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV28: $i > $i > $o] :
( ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(97,plain,
! [SV23: $i > $i > $o] :
( ( ( SV23 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(98,plain,
! [SV28: $i > $i > $o] :
( ( ( ~ ( SV28 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(100,plain,
! [SV28: $i > $i > $o] :
( ( ( SV28 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV1 @ ( sK3_SY9 @ SV1 ) @ ( sK3_SY9 @ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[31]) ).
thf(103,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV8
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV8 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[72]) ).
thf(104,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV13
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV13 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[83]) ).
thf(105,plain,
! [SV18: $i > $i > $o] :
( ( ( SV18 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV18
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV18 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[90]) ).
thf(106,plain,
! [SV23: $i > $i > $o] :
( ( ( SV23 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV23
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[97]) ).
thf(107,plain,
! [SV28: $i > $i > $o] :
( ( ( SV28 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV28
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) )
@ ( sK3_SY9
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV28 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[100]) ).
thf(108,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,107,106,105,104,103,102,18,16]) ).
thf(109,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO226^5 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n009.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 17:33:32 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23
% 0.09/0.23 No.of.Axioms: 0
% 0.09/0.23
% 0.09/0.23 Length.of.Defs: 0
% 0.09/0.23
% 0.09/0.23 Contains.Choice.Funs: false
% 0.09/0.23 .
% 0.09/0.23
% 0.09/0.23 ********************************
% 0.09/0.23 * All subproblems solved! *
% 0.09/0.23 ********************************
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,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:108,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.09/0.23
% 0.09/0.23 %**** Beginning of derivation protocol ****
% 0.09/0.23 % SZS output start CNFRefutation
% See solution above
% 0.09/0.23
% 0.09/0.23 %**** End of derivation protocol ****
% 0.09/0.23 %**** no. of clauses in derivation: 70 ****
% 0.09/0.23 %**** clause counter: 108 ****
% 0.09/0.23
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,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:108,loop_count:0,foatp_calls:2,translation:fof_full)
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