TSTP Solution File: SEU902^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU902^5 : 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 : n008.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 : Tue Jul 19 12:15:41 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 87 ( 21 unt; 4 typ; 0 def)
% Number of atoms : 570 ( 298 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 928 ( 323 ~; 167 |; 10 &; 419 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 133 ( 133 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 191 ( 8 ^ 177 !; 6 ?; 191 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_d,type,
d: $i > $o ).
thf(tp_sK1_Xh,type,
sK1_Xh: ( $i > $o ) > $i ).
thf(tp_sK2_SY11,type,
sK2_SY11: $i > $i > $o ).
thf(tp_sK3_SY11,type,
sK3_SY11: ( $i > $o ) > $i > $i > $o ).
thf(1,conjecture,
! [Xh: ( $i > $o ) > $i] :
( ( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
& ( d
= ( ^ [Xz: $i] :
? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( Xz
= ( Xh @ Xt ) ) ) ) ) )
=> ~ ( d @ ( Xh @ d ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM143_pme) ).
thf(2,negated_conjecture,
( ( ! [Xh: ( $i > $o ) > $i] :
( ( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
& ( d
= ( ^ [Xz: $i] :
? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( Xz
= ( Xh @ Xt ) ) ) ) ) )
=> ~ ( d @ ( Xh @ d ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xh: ( $i > $o ) > $i] :
( ( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
& ( d
= ( ^ [Xz: $i] :
? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( Xz
= ( Xh @ Xt ) ) ) ) ) )
=> ~ ( d @ ( Xh @ d ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ! [SY5: $i > $o,SY6: $i > $o] :
( ( ( sK1_Xh @ SY5 )
= ( sK1_Xh @ SY6 ) )
=> ( SY5 = SY6 ) )
& ( d
= ( ^ [SY7: $i] :
? [SY8: $i > $o] :
( ~ ( SY8 @ ( sK1_Xh @ SY8 ) )
& ( SY7
= ( sK1_Xh @ SY8 ) ) ) ) ) )
=> ~ ( d @ ( sK1_Xh @ d ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY5: $i > $o,SY6: $i > $o] :
( ( ( sK1_Xh @ SY5 )
= ( sK1_Xh @ SY6 ) )
=> ( SY5 = SY6 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( d
= ( ^ [SY7: $i] :
? [SY8: $i > $o] :
( ~ ( SY8 @ ( sK1_Xh @ SY8 ) )
& ( SY7
= ( sK1_Xh @ SY8 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( d @ ( sK1_Xh @ d ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( d @ ( sK1_Xh @ d ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY5: $i > $o,SY6: $i > $o] :
( ( ( sK1_Xh @ SY5 )
!= ( sK1_Xh @ SY6 ) )
| ( SY5 = SY6 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(10,plain,
( ( d
= ( ^ [SY7: $i] :
? [SY8: $i > $o] :
( ~ ( SY8 @ ( sK1_Xh @ SY8 ) )
& ( SY7
= ( sK1_Xh @ SY8 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [SY5: $i > $o,SY6: $i > $o] :
( ( ( sK1_Xh @ SY5 )
!= ( sK1_Xh @ SY6 ) )
| ( SY5 = SY6 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( d @ ( sK1_Xh @ d ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( d
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
! [SV1: $i > $o] :
( ( ! [SY9: $i > $o] :
( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SY9 ) )
| ( SV1 = SY9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SV2: $i] :
( ( d @ SV2 )
= ( ~ ! [SY10: $i > $o] :
~ ~ ( ~ ~ ( SY10 @ ( sK1_Xh @ SY10 ) )
| ( SV2
!= ( sK1_Xh @ SY10 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( d
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV3: $i > $o,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SV3 ) )
| ( SV1 = SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV4: $i] :
( ( ( d @ SV4 )
= ( ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV3: $i > $o,SV1: $i > $o] :
( ( ( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SV3 ) ) )
= $true )
| ( ( SV1 = SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV4: $i] :
( ( ~ ( ( d @ SV4 )
| ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
| ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV4: $i] :
( ( ( d @ SV4 )
= ( ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV3: $i > $o,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false )
| ( ( SV1 = SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV4: $i] :
( ( ( ~ ( ( d @ SV4 )
| ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV3: $i > $o,SV1: $i > $o] :
( ( ( ! [SV5: $i] :
( ( SV1 @ SV5 )
= ( SV3 @ SV5 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV3: $i > $o,SV1: $i > $o] :
( ( ( SV1 = SV3 )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV4: $i] :
( ( ( ( d @ SV4 )
| ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
= ( SV3 @ SV6 ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV4: $i] :
( ( ( d @ SV4 )
= $false )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV4: $i] :
( ( ( ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV6 )
| ( SV3 @ SV6 ) )
| ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV3 @ SV6 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
= ( SV3 @ SV6 ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV4: $i] :
( ( ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV4: $i] :
( ( ( ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV6 )
| ( SV3 @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV3 @ SV6 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV4: $i] :
( ( ( ~ ( d @ SV4 ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV4: $i] :
( ( ( ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV7 @ ( sK1_Xh @ SV7 ) )
| ( SV4
!= ( sK1_Xh @ SV7 ) ) ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
| ( SV3 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV3 @ SV6 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: $i] :
( ( ( d @ SV4 )
= $true )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV4: $i] :
( ( ( ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $true )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ( ~ ~ ( SV7 @ ( sK1_Xh @ SV7 ) )
| ( SV4
!= ( sK1_Xh @ SV7 ) ) ) )
= $false )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV3 @ SV6 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV1: $i > $o,SV6: $i,SV3: $i > $o] :
( ( ( SV3 @ SV6 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV3 @ SV6 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV4: $i] :
( ( ( ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ~ ( SV7 @ ( sK1_Xh @ SV7 ) )
| ( SV4
!= ( sK1_Xh @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ~ ( SV3 @ SV6 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ~ ( SV3 @ SV6 ) )
= $false )
| ( ( SV3 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( sK2_SY11 @ SV4 @ ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) )
| ( SV4
!= ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(49,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ~ ( SV7 @ ( sK1_Xh @ SV7 ) ) )
= $true )
| ( ( ( SV4
!= ( sK1_Xh @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV1: $i > $o,SV6: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ SV6 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(52,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 ) )
= $false )
| ( ( SV3 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV1: $i > $o,SV6: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ SV6 ) )
= $false )
| ( ( SV3 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( sK2_SY11 @ SV4 @ ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) )
| ( SV4
!= ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) ) ) )
= $true )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK1_Xh @ SV7 ) ) )
= $false )
| ( ( ( SV4
!= ( sK1_Xh @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $true )
| ( ( SV1 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV1: $i > $o,SV6: $i,SV3: $i > $o] :
( ( ( SV3 @ SV6 )
= $true )
| ( ( SV1 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV3: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $true )
| ( ( SV3 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: $i > $o,SV6: $i,SV3: $i > $o] :
( ( ( SV3 @ SV6 )
= $true )
| ( ( SV3 @ SV6 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV4: $i] :
( ( ( ~ ~ ( sK2_SY11 @ SV4 @ ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) )
| ( SV4
!= ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( ( SV4
!= ( sK1_Xh @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV4: $i] :
( ( ( ~ ~ ( sK2_SY11 @ SV4 @ ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(63,plain,
! [SV4: $i] :
( ( ( ( SV4
!= ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(65,plain,
! [SV4: $i] :
( ( ( ~ ( sK2_SY11 @ SV4 @ ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) ) )
= $true )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(66,plain,
! [SV4: $i] :
( ( ( SV4
= ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) )
= $true )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( ~ ( d @ SV4 )
| ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV4: $i] :
( ( ( sK2_SY11 @ SV4 @ ( sK1_Xh @ ( sK2_SY11 @ SV4 ) ) )
= $false )
| ( ( d @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( ~ ( d @ SV4 ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(70,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( ~ ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(71,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( d @ SV4 )
= $true )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(72,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( ~ ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $true )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(73,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( ! [SY11: $i > $o] :
~ ~ ( ~ ~ ( SY11 @ ( sK1_Xh @ SY11 ) )
| ( SV4
!= ( sK1_Xh @ SY11 ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(74,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK3_SY11 @ SV7 @ SV4 @ ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) )
| ( SV4
!= ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(75,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ( ~ ~ ( sK3_SY11 @ SV7 @ SV4 @ ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) )
| ( SV4
!= ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) ) ) )
= $true )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(76,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ~ ( sK3_SY11 @ SV7 @ SV4 @ ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) )
| ( SV4
!= ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(77,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ~ ( sK3_SY11 @ SV7 @ SV4 @ ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(78,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( ( SV4
!= ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(79,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( ~ ( sK3_SY11 @ SV7 @ SV4 @ ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) ) )
= $true )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(80,plain,
! [SV7: $i > $o,SV4: $i] :
( ( ( SV4
= ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) )
= $true )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(81,plain,
! [SV4: $i,SV7: $i > $o] :
( ( ( sK3_SY11 @ SV7 @ SV4 @ ( sK1_Xh @ ( sK3_SY11 @ SV7 @ SV4 ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xh @ SV7 ) )
= $true )
| ( ( SV4
= ( sK1_Xh @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(82,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,81,80,71,68,66,59,58,57,56,39,31,25,21,16]) ).
thf(83,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU902^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 05:46:22 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
% 0.12/0.34 (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)..
% 0.19/0.40
% 0.19/0.40 ********************************
% 0.19/0.40 * All subproblems solved! *
% 0.19/0.40 ********************************
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox2/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:82,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.40
% 0.19/0.40 %**** Beginning of derivation protocol ****
% 0.19/0.40 % SZS output start CNFRefutation
% See solution above
% 0.19/0.40
% 0.19/0.40 %**** End of derivation protocol ****
% 0.19/0.40 %**** no. of clauses in derivation: 83 ****
% 0.19/0.40 %**** clause counter: 82 ****
% 0.19/0.40
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox2/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:82,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------