%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU894^5 : 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 : n013.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 10:49:11 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 1
% Syntax : Number of formulae : 46 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 215 ( 150 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 605 ( 212 ~; 106 |; 18 &; 245 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 120 ( 120 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 175 ( 25 ^; 132 !; 18 ?; 175 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_F,type,
sK1_F: $i > $i ).
thf(tp_sK2_SY18,type,
sK2_SY18: ( $i > $i ) > $i ).
thf(tp_sK3_SY21,type,
sK3_SY21: ( $i > $i ) > ( ( $i > $i ) > $o ) > $i > $i ).
thf(1,conjecture,
! [F: $i > $i] :
? [G: $i > $i] :
( ( ! [P: ( $i > $i ) > $o] :
( ( ( P @ F )
& ! [H: $i > $i] :
( ( P @ H )
=> ( P
@ ^ [T: $i] : ( F @ ( H @ T ) ) ) ) )
=> ( P @ G ) )
& ? [X: $i] :
( ( ( G @ X )
= X )
& ! [Y: $i] :
( ( ( G @ Y )
= Y )
=> ( X = Y ) ) ) )
=> ? [Y: $i] :
( ( F @ Y )
= Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM15_0_pme) ).
thf(2,negated_conjecture,
( ( ! [F: $i > $i] :
? [G: $i > $i] :
( ( ! [P: ( $i > $i ) > $o] :
( ( ( P @ F )
& ! [H: $i > $i] :
( ( P @ H )
=> ( P
@ ^ [T: $i] : ( F @ ( H @ T ) ) ) ) )
=> ( P @ G ) )
& ? [X: $i] :
( ( ( G @ X )
= X )
& ! [Y: $i] :
( ( ( G @ Y )
= Y )
=> ( X = Y ) ) ) )
=> ? [Y: $i] :
( ( F @ Y )
= Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [F: $i > $i] :
? [G: $i > $i] :
( ( ! [P: ( $i > $i ) > $o] :
( ( ( P @ F )
& ! [H: $i > $i] :
( ( P @ H )
=> ( P
@ ^ [T: $i] : ( F @ ( H @ T ) ) ) ) )
=> ( P @ G ) )
& ? [X: $i] :
( ( ( G @ X )
= X )
& ! [Y: $i] :
( ( ( G @ Y )
= Y )
=> ( X = Y ) ) ) )
=> ? [Y: $i] :
( ( F @ Y )
= Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY8: $i > $i] :
( ( ! [SY9: ( $i > $i ) > $o] :
( ( ( SY9 @ sK1_F )
& ! [SY10: $i > $i] :
( ( SY9 @ SY10 )
=> ( SY9
@ ^ [SY11: $i] : ( sK1_F @ ( SY10 @ SY11 ) ) ) ) )
=> ( SY9 @ SY8 ) )
& ? [X: $i] :
( ( ( SY8 @ X )
= X )
& ! [Y: $i] :
( ( ( SY8 @ Y )
= Y )
=> ( X = Y ) ) ) )
=> ? [SY14: $i] :
( ( sK1_F @ SY14 )
= SY14 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY8: $i > $i] :
( ( ! [SY9: ( $i > $i ) > $o] :
( ( ( SY9 @ sK1_F )
& ! [SY10: $i > $i] :
( ( SY9 @ SY10 )
=> ( SY9
@ ^ [SY11: $i] : ( sK1_F @ ( SY10 @ SY11 ) ) ) ) )
=> ( SY9 @ SY8 ) )
& ? [X: $i] :
( ( ( SY8 @ X )
= X )
& ! [Y: $i] :
( ( ( SY8 @ Y )
= Y )
=> ( X = Y ) ) ) )
=> ? [SY14: $i] :
( ( sK1_F @ SY14 )
= SY14 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ? [SY8: $i > $i] :
( ( ! [SY9: ( $i > $i ) > $o] :
( ( ( SY9 @ sK1_F )
& ! [SY10: $i > $i] :
( ( SY9 @ SY10 )
=> ( SY9
@ ^ [SY11: $i] : ( sK1_F @ ( SY10 @ SY11 ) ) ) ) )
=> ( SY9 @ SY8 ) )
& ? [X: $i] :
( ( ( SY8 @ X )
= X )
& ! [Y: $i] :
( ( ( SY8 @ Y )
= Y )
=> ( X = Y ) ) ) )
=> ? [SY14: $i] :
( ( sK1_F @ SY14 )
= SY14 ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ~ ! [SX0: $i > $i] :
~ ( ~ ~ ( ~ ! [SX1: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SX1 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SX1 @ SX2 )
| ( SX1
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SX1 @ SX0 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ( ( SX0 @ SX1 )
!= SX1 )
| ~ ! [SX2: $i] :
( ( ( SX0 @ SX2 )
!= SX2 )
| ( SX1 = SX2 ) ) ) )
| ~ ! [SX1: $i] :
( ( sK1_F @ SX1 )
!= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ! [SX0: $i > $i] :
~ ( ~ ~ ( ~ ! [SX1: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SX1 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SX1 @ SX2 )
| ( SX1
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SX1 @ SX0 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ( ( SX0 @ SX1 )
!= SX1 )
| ~ ! [SX2: $i] :
( ( ( SX0 @ SX2 )
!= SX2 )
| ( SX1 = SX2 ) ) ) )
| ~ ! [SX1: $i] :
( ( sK1_F @ SX1 )
!= SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SX0: $i > $i] :
~ ( ~ ~ ( ~ ! [SX1: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SX1 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SX1 @ SX2 )
| ( SX1
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SX1 @ SX0 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ( ( SX0 @ SX1 )
!= SX1 )
| ~ ! [SX2: $i] :
( ( ( SX0 @ SX2 )
!= SX2 )
| ( SX1 = SX2 ) ) ) )
| ~ ! [SX1: $i] :
( ( sK1_F @ SX1 )
!= SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i > $i] :
( ( ~ ( ~ ~ ( ~ ! [SY15: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SY15 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SY15 @ SX2 )
| ( SY15
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SY15 @ SV1 ) )
| ~ ~ ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) )
| ~ ! [SX1: $i] :
( ( sK1_F @ SX1 )
!= SX1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i > $i] :
( ( ~ ~ ( ~ ! [SY15: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SY15 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SY15 @ SX2 )
| ( SY15
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SY15 @ SV1 ) )
| ~ ~ ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) )
| ~ ! [SX1: $i] :
( ( sK1_F @ SX1 )
!= SX1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: $i > $i] :
( ( ~ ~ ( ~ ! [SY15: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SY15 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SY15 @ SX2 )
| ( SY15
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SY15 @ SV1 ) )
| ~ ~ ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ! [SX1: $i] :
( ( sK1_F @ SX1 )
!= SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i > $i] :
( ( ~ ( ~ ! [SY15: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SY15 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SY15 @ SX2 )
| ( SY15
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SY15 @ SV1 ) )
| ~ ~ ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SX1: $i] :
( ( sK1_F @ SX1 )
!= SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: $i > $i] :
( ( ~ ! [SY15: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SY15 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SY15 @ SX2 )
| ( SY15
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SY15 @ SV1 ) )
| ~ ~ ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: $i] :
( ( ( sK1_F @ SV2 )
!= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i > $i] :
( ( ~ ! [SY15: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SY15 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SY15 @ SX2 )
| ( SY15
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SY15 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: $i > $i] :
( ( ~ ~ ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: $i] :
( ( ( sK1_F @ SV2 )
= SV2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i > $i] :
( ( ! [SY15: ( $i > $i ) > $o] :
( ~ ~ ( ~ ( SY15 @ sK1_F )
| ~ ! [SX2: $i > $i] :
( ~ ( SY15 @ SX2 )
| ( SY15
@ ^ [SX3: $i] : ( sK1_F @ ( SX2 @ SX3 ) ) ) ) )
| ( SY15 @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: $i > $i] :
( ( ~ ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ~ ~ ( ~ ( SV3 @ sK1_F )
| ~ ! [SY21: $i > $i] :
( ~ ( SV3 @ SY21 )
| ( SV3
@ ^ [SX3: $i] : ( sK1_F @ ( SY21 @ SX3 ) ) ) ) )
| ( SV3 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: $i > $i] :
( ( ! [SY18: $i] :
~ ~ ( ( ( SV1 @ SY18 )
!= SY18 )
| ~ ! [SY19: $i] :
( ( ( SV1 @ SY19 )
!= SY19 )
| ( SY18 = SY19 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ sK1_F )
| ~ ! [SY21: $i > $i] :
( ~ ( SV3 @ SY21 )
| ( SV3
@ ^ [SX3: $i] : ( sK1_F @ ( SY21 @ SX3 ) ) ) ) ) )
= $true )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV1: $i > $i] :
( ( ~ ~ ( ( ( SV1 @ ( sK2_SY18 @ SV1 ) )
!= ( sK2_SY18 @ SV1 ) )
| ~ ! [SY23: $i] :
( ( ( SV1 @ SY23 )
!= SY23 )
| ( ( sK2_SY18 @ SV1 )
= SY23 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(27,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( ~ ( ~ ( SV3 @ sK1_F )
| ~ ! [SY21: $i > $i] :
( ~ ( SV3 @ SY21 )
| ( SV3
@ ^ [SX3: $i] : ( sK1_F @ ( SY21 @ SX3 ) ) ) ) ) )
= $false )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV1: $i > $i] :
( ( ~ ( ( ( SV1 @ ( sK2_SY18 @ SV1 ) )
!= ( sK2_SY18 @ SV1 ) )
| ~ ! [SY23: $i] :
( ( ( SV1 @ SY23 )
!= SY23 )
| ( ( sK2_SY18 @ SV1 )
= SY23 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( ~ ( SV3 @ sK1_F )
| ~ ! [SY21: $i > $i] :
( ~ ( SV3 @ SY21 )
| ( SV3
@ ^ [SX3: $i] : ( sK1_F @ ( SY21 @ SX3 ) ) ) ) )
= $true )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: $i > $i] :
( ( ( ( SV1 @ ( sK2_SY18 @ SV1 ) )
!= ( sK2_SY18 @ SV1 ) )
| ~ ! [SY23: $i] :
( ( ( SV1 @ SY23 )
!= SY23 )
| ( ( sK2_SY18 @ SV1 )
= SY23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( ~ ( SV3 @ sK1_F ) )
= $true )
| ( ( ~ ! [SY21: $i > $i] :
( ~ ( SV3 @ SY21 )
| ( SV3
@ ^ [SX3: $i] : ( sK1_F @ ( SY21 @ SX3 ) ) ) ) )
= $true )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV1: $i > $i] :
( ( ( SV1 @ ( sK2_SY18 @ SV1 ) )
!= ( sK2_SY18 @ SV1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(33,plain,
! [SV1: $i > $i] :
( ( ~ ! [SY23: $i] :
( ( ( SV1 @ SY23 )
!= SY23 )
| ( ( sK2_SY18 @ SV1 )
= SY23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( SV3 @ sK1_F )
= $false )
| ( ( ~ ! [SY21: $i > $i] :
( ~ ( SV3 @ SY21 )
| ( SV3
@ ^ [SX3: $i] : ( sK1_F @ ( SY21 @ SX3 ) ) ) ) )
= $true )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: $i > $i] :
( ( ( SV1 @ ( sK2_SY18 @ SV1 ) )
= ( sK2_SY18 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: $i > $i] :
( ( ! [SY23: $i] :
( ( ( SV1 @ SY23 )
!= SY23 )
| ( ( sK2_SY18 @ SV1 )
= SY23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( ! [SY21: $i > $i] :
( ~ ( SV3 @ SY21 )
| ( SV3
@ ^ [SX3: $i] : ( sK1_F @ ( SY21 @ SX3 ) ) ) ) )
= $false )
| ( ( SV3 @ sK1_F )
= $false )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV4: $i,SV1: $i > $i] :
( ( ( ( SV1 @ SV4 )
!= SV4 )
| ( ( sK2_SY18 @ SV1 )
= SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( ~ ( SV3 @ ( sK3_SY21 @ SV1 @ SV3 ) )
| ( SV3
@ ^ [SY24: $i] : ( sK1_F @ ( sK3_SY21 @ SV1 @ SV3 @ SY24 ) ) ) )
= $false )
| ( ( SV3 @ sK1_F )
= $false )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(40,plain,
! [SV4: $i,SV1: $i > $i] :
( ( ( ( SV1 @ SV4 )
!= SV4 )
= $true )
| ( ( ( sK2_SY18 @ SV1 )
= SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( ~ ( SV3 @ ( sK3_SY21 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV3 @ sK1_F )
= $false )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(42,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( SV3
@ ^ [SY24: $i] : ( sK1_F @ ( sK3_SY21 @ SV1 @ SV3 @ SY24 ) ) )
= $false )
| ( ( SV3 @ sK1_F )
= $false )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
! [SV4: $i,SV1: $i > $i] :
( ( ( ( SV1 @ SV4 )
= SV4 )
= $false )
| ( ( ( sK2_SY18 @ SV1 )
= SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
! [SV1: $i > $i,SV3: ( $i > $i ) > $o] :
( ( ( SV3 @ ( sK3_SY21 @ SV1 @ SV3 ) )
= $true )
| ( ( SV3 @ sK1_F )
= $false )
| ( ( SV3 @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,44,43,42,35]) ).
thf(46,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU894^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.21 % Computer : n013.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Oct 6 15:37:21 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26
% 0.09/0.26 No.of.Axioms: 0
% 0.09/0.26
% 0.09/0.26 Length.of.Defs: 0
% 0.09/0.26
% 0.09/0.26 Contains.Choice.Funs: false
% 0.09/0.26 .
% 0.09/0.26
% 0.09/0.26 ********************************
% 0.09/0.26 * All subproblems solved! *
% 0.09/0.26 ********************************
% 0.09/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:0,foatp_calls:1,translation:fof_full)
% 0.09/0.26
% 0.09/0.26 %**** Beginning of derivation protocol ****
% 0.09/0.26 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26
% 0.09/0.26 %**** End of derivation protocol ****
% 0.09/0.26 %**** no. of clauses in derivation: 46 ****
% 0.09/0.26 %**** clause counter: 45 ****
% 0.09/0.26
% 0.09/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------