TSTP Solution File: NUM802^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM802^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 11:55:41 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 6
% Syntax : Number of formulae : 92 ( 18 unt; 5 typ; 0 def)
% Number of atoms : 454 ( 222 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 879 ( 303 ~; 126 |; 5 &; 435 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 152 ( 45 ^ 102 !; 5 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_absval,type,
absval: $i > $i ).
thf(tp_c0,type,
c0: $i ).
thf(tp_c_2,type,
c_2: $i ).
thf(tp_c_less_,type,
c_less_: $i > $i > $o ).
thf(tp_sK1_Xy,type,
sK1_Xy: ( $i > $o ) > $i ).
thf(1,conjecture,
( ( c_less_ @ c_2 @ c0 )
=> ( ! [Xu: $i,Xv: $i] :
( ( c_less_ @ Xu @ c0 )
=> ( Xu
!= ( absval @ Xv ) ) )
=> ? [A: $i > $o] :
( ! [Xy: $i] :
~ ( A @ ( absval @ Xy ) )
& ( A @ c_2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_8) ).
thf(2,negated_conjecture,
( ( ( c_less_ @ c_2 @ c0 )
=> ( ! [Xu: $i,Xv: $i] :
( ( c_less_ @ Xu @ c0 )
=> ( Xu
!= ( absval @ Xv ) ) )
=> ? [A: $i > $o] :
( ! [Xy: $i] :
~ ( A @ ( absval @ Xy ) )
& ( A @ c_2 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( c_less_ @ c_2 @ c0 )
=> ( ! [Xu: $i,Xv: $i] :
( ( c_less_ @ Xu @ c0 )
=> ( Xu
!= ( absval @ Xv ) ) )
=> ? [A: $i > $o] :
( ! [Xy: $i] :
~ ( A @ ( absval @ Xy ) )
& ( A @ c_2 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( c_less_ @ c_2 @ c0 )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xu: $i,Xv: $i] :
( ( c_less_ @ Xu @ c0 )
=> ( Xu
!= ( absval @ Xv ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ? [A: $i > $o] :
( ! [Xy: $i] :
~ ( A @ ( absval @ Xy ) )
& ( A @ c_2 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ? [A: $i > $o] :
( ! [Xy: $i] :
~ ( A @ ( absval @ Xy ) )
& ( A @ c_2 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [A: $i > $o] :
( ( A @ ( absval @ ( sK1_Xy @ A ) ) )
| ~ ( A @ c_2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [Xu: $i] :
( ~ ( c_less_ @ Xu @ c0 )
| ! [Xv: $i] :
( Xu
!= ( absval @ Xv ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(10,plain,
( ( ! [Xu: $i] :
( ~ ( c_less_ @ Xu @ c0 )
| ! [Xv: $i] :
( Xu
!= ( absval @ Xv ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( c_less_ @ c_2 @ c0 )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(12,plain,
( ( ! [A: $i > $o] :
( ( A @ ( absval @ ( sK1_Xy @ A ) ) )
| ~ ( A @ c_2 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
! [SV1: $i] :
( ( ~ ( c_less_ @ SV1 @ c0 )
| ! [SY4: $i] :
( SV1
!= ( absval @ SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(14,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) )
| ~ ( SV2 @ c_2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i] :
( ( ( ~ ( c_less_ @ SV1 @ c0 ) )
= $true )
| ( ( ! [SY4: $i] :
( SV1
!= ( absval @ SY4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) )
= $true )
| ( ( ~ ( SV2 @ c_2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i] :
( ( ( c_less_ @ SV1 @ c0 )
= $false )
| ( ( ! [SY4: $i] :
( SV1
!= ( absval @ SY4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ c_2 )
= $false )
| ( ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV3: $i,SV1: $i] :
( ( ( ( SV1
!= ( absval @ SV3 ) ) )
= $true )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1
= ( absval @ SV3 ) )
= $false )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV5: $i > $o] :
( ( ( ~ ( SV5 @ c_2 ) )
= $false )
| ( ( ~ ( SV5
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[18:[bind(SV2,$thf( ^ [SV4: $i] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(24,plain,
( ( ( c_2 = c_2 )
= $false )
| ( ( ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] : ( SX0 = c_2 ) ) )
= c_2 )
= $true ) ),
inference(prim_subst,[status(thm)],[18:[bind(SV2,$thf( ^ [SV8: $i] : ( SV8 = c_2 ) ))]]) ).
thf(26,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ c_2 )
= $false )
| ( ( ( SV2 @ c_2 )
= ( ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[18]) ).
thf(27,plain,
! [SV3: $i,SV1: $i] :
( ( ( c_less_ @ SV1 @ c0 )
= $false )
| ( ( ( SV1
= ( absval @ SV3 ) )
= ( c_less_ @ SV1 @ c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[20]) ).
thf(28,plain,
! [SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ c_2 )
| ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) )
| ~ ( ~ ( SV2 @ c_2 )
| ~ ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) ) )
= $false )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV2: $i > $o] :
( ( ( ( SV2 @ c_2 )
= ( ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) ) )
= $false )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( ( SV1
= ( absval @ SV3 ) )
| ( c_less_ @ SV1 @ c0 ) )
| ~ ( ( SV1
!= ( absval @ SV3 ) )
| ~ ( c_less_ @ SV1 @ c0 ) ) )
= $false )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV2: $i > $o] :
( ( ( ~ ( ~ ( SV2 @ c_2 )
| ~ ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) ) )
= $false )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( ( SV1
!= ( absval @ SV3 ) )
| ~ ( c_less_ @ SV1 @ c0 ) ) )
= $false )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ c_2 )
| ~ ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV3: $i,SV1: $i] :
( ( ( ( SV1
!= ( absval @ SV3 ) )
| ~ ( c_less_ @ SV1 @ c0 ) )
= $true )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV3: $i,SV1: $i] :
( ( ( ( SV1
!= ( absval @ SV3 ) ) )
= $true )
| ( ( ~ ( c_less_ @ SV1 @ c0 ) )
= $true )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ c_2 )
= $false )
| ( ( ~ ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1
= ( absval @ SV3 ) )
= $false )
| ( ( ~ ( c_less_ @ SV1 @ c0 ) )
= $true )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ c_2 )
= $false )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV3: $i,SV1: $i] :
( ( ( c_less_ @ SV1 @ c0 )
= $false )
| ( ( SV1
= ( absval @ SV3 ) )
= $false )
| ( ( c_less_ @ SV1 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) )
= $true )
| ( ( SV2 @ c_2 )
= $false )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV24: $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[29:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV24 @ SX0 ) ) ) ) ) ))]]) ).
thf(52,plain,
! [SV21: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV21 @ c_2 ) )
= $false )
| ( ( ~ ( SV21 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[29:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV21 @ SX0 ) ) ) ) ))]]) ).
thf(55,plain,
! [SV18: $i > $o] :
( ( ( ~ ~ ~ ( SV18 @ c_2 ) )
= $false )
| ( ( ~ ( SV18 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[29:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV18 @ SX0 ) ) ) ))]]) ).
thf(56,plain,
! [SV15: $i > $o] :
( ( ( ~ ~ ( SV15 @ c_2 ) )
= $false )
| ( ( ~ ( SV15 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV15
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ( SV15 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[29:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( SV15 @ SX0 ) ) ))]]) ).
thf(59,plain,
! [SV12: $i > $o] :
( ( ( ~ ( SV12 @ c_2 ) )
= $false )
| ( ( ~ ( SV12 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV12
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[29:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(60,plain,
! [SV3: $i] :
( ( ( c_less_ @ ( absval @ SV3 ) @ c0 )
= $false )
| ( ( c_less_ @ ( absval @ SV3 ) @ c0 )
= $false ) ),
inference(extuni,[status(esa)],[48:[bind(SV1,$thf( absval @ SV3 ))]]) ).
thf(61,plain,
! [SV3: $i] :
( ( c_less_ @ ( absval @ SV3 ) @ c0 )
= $false ),
inference(extuni,[status(esa)],[20:[bind(SV1,$thf( absval @ SV3 ))]]) ).
thf(62,plain,
! [SV12: $i > $o] :
( ( ( SV12 @ c_2 )
= $true )
| ( ( ~ ( SV12 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV12
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV15: $i > $o] :
( ( ( ~ ( SV15 @ c_2 ) )
= $true )
| ( ( ~ ( SV15 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV15
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ( SV15 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(66,plain,
! [SV18: $i > $o] :
( ( ( ~ ~ ( SV18 @ c_2 ) )
= $true )
| ( ( ~ ( SV18 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(69,plain,
! [SV21: $i > $o] :
( ( ( ~ ~ ~ ( SV21 @ c_2 ) )
= $true )
| ( ( ~ ( SV21 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(70,plain,
! [SV24: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV24 @ c_2 ) )
= $true )
| ( ( ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(72,plain,
! [SV12: $i > $o] :
( ( ( SV12 @ c_2 )
= $true )
| ( ( SV12 @ c_2 )
= $true )
| ( ( ~ ~ ( SV12
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(75,plain,
! [SV15: $i > $o] :
( ( ( SV15 @ c_2 )
= $false )
| ( ( ~ ( SV15 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV15
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ( SV15 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV18: $i > $o] :
( ( ( ~ ( SV18 @ c_2 ) )
= $false )
| ( ( ~ ( SV18 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV21: $i > $o] :
( ( ( ~ ~ ( SV21 @ c_2 ) )
= $false )
| ( ( ~ ( SV21 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV24: $i > $o] :
( ( ( ~ ~ ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV12: $i > $o] :
( ( ( ~ ( SV12
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) ) )
= $true )
| ( ( SV12 @ c_2 )
= $true )
| ( ( SV12 @ c_2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(85,plain,
! [SV15: $i > $o] :
( ( ( SV15 @ c_2 )
= $false )
| ( ( SV15 @ c_2 )
= $false )
| ( ( ~ ~ ( SV15
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ( SV15 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV18: $i > $o] :
( ( ( SV18 @ c_2 )
= $true )
| ( ( ~ ( SV18 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(89,plain,
! [SV21: $i > $o] :
( ( ( ~ ( SV21 @ c_2 ) )
= $true )
| ( ( ~ ( SV21 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(90,plain,
! [SV24: $i > $o] :
( ( ( ~ ~ ( SV24 @ c_2 ) )
= $true )
| ( ( ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(92,plain,
! [SV12: $i > $o] :
( ( ( SV12
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV12 @ c_2 )
= $true )
| ( ( SV12 @ c_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV15: $i > $o] :
( ( ( ~ ( SV15
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ( SV15 @ SX0 ) ) ) ) )
= $false )
| ( ( SV15 @ c_2 )
= $false )
| ( ( SV15 @ c_2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(96,plain,
! [SV18: $i > $o] :
( ( ( SV18 @ c_2 )
= $true )
| ( ( SV18 @ c_2 )
= $true )
| ( ( ~ ~ ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(99,plain,
! [SV21: $i > $o] :
( ( ( SV21 @ c_2 )
= $false )
| ( ( ~ ( SV21 @ c_2 ) )
= $true )
| ( ( ~ ~ ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV24: $i > $o] :
( ( ( ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV15: $i > $o] :
( ( ( SV15
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ( SV15 @ SX0 ) ) ) )
= $true )
| ( ( SV15 @ c_2 )
= $false )
| ( ( SV15 @ c_2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(104,plain,
! [SV18: $i > $o] :
( ( ( ~ ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) ) )
= $true )
| ( ( SV18 @ c_2 )
= $true )
| ( ( SV18 @ c_2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(107,plain,
! [SV21: $i > $o] :
( ( ( SV21 @ c_2 )
= $false )
| ( ( SV21 @ c_2 )
= $false )
| ( ( ~ ~ ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV24: $i > $o] :
( ( ( SV24 @ c_2 )
= $true )
| ( ( ~ ( SV24 @ c_2 ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(110,plain,
! [SV18: $i > $o] :
( ( ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $false )
| ( ( SV18 @ c_2 )
= $true )
| ( ( SV18 @ c_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV21: $i > $o] :
( ( ( ~ ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) ) )
= $false )
| ( ( SV21 @ c_2 )
= $false )
| ( ( SV21 @ c_2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(114,plain,
! [SV24: $i > $o] :
( ( ( SV24 @ c_2 )
= $true )
| ( ( SV24 @ c_2 )
= $true )
| ( ( ~ ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(117,plain,
! [SV21: $i > $o] :
( ( ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $true )
| ( ( SV21 @ c_2 )
= $false )
| ( ( SV21 @ c_2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(118,plain,
! [SV24: $i > $o] :
( ( ( ~ ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) ) )
= $true )
| ( ( SV24 @ c_2 )
= $true )
| ( ( SV24 @ c_2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(120,plain,
! [SV24: $i > $o] :
( ( ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $false )
| ( ( SV24 @ c_2 )
= $true )
| ( ( SV24 @ c_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV5: $i > $o] :
( ( ( SV5 @ c_2 )
= $true )
| ( ( ~ ( SV5
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(123,plain,
! [SV5: $i > $o] :
( ( ( SV5
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) ) )
= $false )
| ( ( SV5 @ c_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(124,plain,
( ( ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] : ( SX0 = c_2 ) ) )
= c_2 )
= $true ),
inference(extuni,[status(esa)],[24]) ).
thf(125,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ ( absval @ ( sK1_Xy @ SV2 ) ) )
= $true )
| ( ( SV2 @ c_2 )
= $false ) ),
inference(sim,[status(thm)],[49]) ).
thf(126,plain,
! [SV12: $i > $o] :
( ( ( SV12
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV12 @ c_2 )
= $true ) ),
inference(sim,[status(thm)],[92]) ).
thf(127,plain,
! [SV15: $i > $o] :
( ( ( SV15
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ( SV15 @ SX0 ) ) ) )
= $true )
| ( ( SV15 @ c_2 )
= $false ) ),
inference(sim,[status(thm)],[103]) ).
thf(128,plain,
! [SV18: $i > $o] :
( ( ( SV18
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $false )
| ( ( SV18 @ c_2 )
= $true ) ),
inference(sim,[status(thm)],[110]) ).
thf(129,plain,
! [SV21: $i > $o] :
( ( ( SV21
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $true )
| ( ( SV21 @ c_2 )
= $false ) ),
inference(sim,[status(thm)],[117]) ).
thf(130,plain,
! [SV24: $i > $o] :
( ( ( SV24
@ ( absval
@ ( sK1_Xy
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $false )
| ( ( SV24 @ c_2 )
= $true ) ),
inference(sim,[status(thm)],[120]) ).
thf(131,plain,
! [SV3: $i] :
( ( c_less_ @ ( absval @ SV3 ) @ c0 )
= $false ),
inference(sim,[status(thm)],[60]) ).
thf(132,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,131,130,129,128,127,126,125,124,123,61,20,18]) ).
thf(133,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM802^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 07:51:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:0,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.19/0.48
% 0.19/0.48 ********************************
% 0.19/0.48 * All subproblems solved! *
% 0.19/0.48 ********************************
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:132,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.19/0.48
% 0.19/0.48 %**** Beginning of derivation protocol ****
% 0.19/0.48 % SZS output start CNFRefutation
% See solution above
% 0.19/0.48
% 0.19/0.48 %**** End of derivation protocol ****
% 0.19/0.48 %**** no. of clauses in derivation: 87 ****
% 0.19/0.48 %**** clause counter: 132 ****
% 0.19/0.48
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:132,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------