TSTP Solution File: SEV229^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV229^5 : 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 : n009.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 17:35:47 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 12
% Syntax : Number of formulae : 106 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 997 ( 271 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 1237 ( 359 ~; 362 |; 10 &; 491 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 191 ( 16 ^ 175 !; 0 ?; 191 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cD,type,
cD: a > $o ).
thf(tp_cE,type,
cE: a > $o ).
thf(tp_sK1_SV1,type,
sK1_SV1: a > $o ).
thf(tp_sK2_SY8,type,
sK2_SY8: a ).
thf(tp_sK3_SY9,type,
sK3_SY9: a ).
thf(tp_sK4_SY10,type,
sK4_SY10: a ).
thf(tp_sK5_SY9,type,
sK5_SY9: a ).
thf(tp_sK6_SY10,type,
sK6_SY10: a ).
thf(tp_sK7_SY10,type,
sK7_SY10: a ).
thf(tp_sK8_SY10,type,
sK8_SY10: a ).
thf(1,conjecture,
( ( ^ [R: a > $o] :
! [Xx: a] :
( ( R @ Xx )
=> ( ( cD @ Xx )
& ( cE @ Xx ) ) ) )
= ( ^ [Xx: a > $o] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cD @ Xx0 ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cE @ Xx0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5209_pme) ).
thf(2,negated_conjecture,
( ( ( ^ [R: a > $o] :
! [Xx: a] :
( ( R @ Xx )
=> ( ( cD @ Xx )
& ( cE @ Xx ) ) ) )
= ( ^ [Xx: a > $o] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cD @ Xx0 ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cE @ Xx0 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ^ [R: a > $o] :
! [Xx: a] :
( ( R @ Xx )
=> ( ( cD @ Xx )
& ( cE @ Xx ) ) ) )
= ( ^ [Xx: a > $o] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cD @ Xx0 ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cE @ Xx0 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( ^ [R: a > $o] :
! [Xx: a] :
( ( R @ Xx )
=> ( ( cD @ Xx )
& ( cE @ Xx ) ) ) )
!= ( ^ [Xx: a > $o] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cD @ Xx0 ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cE @ Xx0 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ( ^ [R: a > $o] :
! [Xx: a] :
( ( R @ Xx )
=> ( ( cD @ Xx )
& ( cE @ Xx ) ) ) )
!= ( ^ [Xx: a > $o] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cD @ Xx0 ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( cE @ Xx0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ( ( ^ [SX0: a > $o] :
! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ( ~ ( cD @ SX1 )
| ~ ( cE @ SX1 ) ) ) )
!= ( ^ [SX0: a > $o] :
~ ( ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ( cD @ SX1 ) )
| ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ( cE @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ^ [SX0: a > $o] :
! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ( ~ ( cD @ SX1 )
| ~ ( cE @ SX1 ) ) ) )
= ( ^ [SX0: a > $o] :
~ ( ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ( cD @ SX1 ) )
| ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ( cE @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SV1: a > $o] :
( ( ! [SY5: a] :
( ~ ( SV1 @ SY5 )
| ~ ( ~ ( cD @ SY5 )
| ~ ( cE @ SY5 ) ) ) )
= ( ~ ( ~ ! [SY6: a] :
( ~ ( SV1 @ SY6 )
| ( cD @ SY6 ) )
| ~ ! [SY7: a] :
( ~ ( SV1 @ SY7 )
| ( cE @ SY7 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ^ [SX0: a > $o] :
! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ( ~ ( cD @ SX1 )
| ~ ( cE @ SX1 ) ) ) )
= ( ^ [SX0: a > $o] :
~ ( ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ( cD @ SX1 ) )
| ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ( cE @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[7]) ).
thf(10,plain,
( ( ( ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) ) )
= ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(11,plain,
( ( ~ ( ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) )
| ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
| ~ ( ~ ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) )
| ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[10]) ).
thf(12,plain,
( ( ( ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) ) )
= ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) )
| ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ~ ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) )
| ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) )
| ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) )
| ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ( ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ~ ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: a] :
( ( ( ~ ( sK1_SV1 @ SV2 )
| ~ ( ~ ( cD @ SV2 )
| ~ ( cE @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ! [SY8: a] :
( ~ ( sK1_SV1 @ SY8 )
| ~ ( ~ ( cD @ SY8 )
| ~ ( cE @ SY8 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV2: a] :
( ( ( ~ ( sK1_SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ( cD @ SV2 )
| ~ ( cE @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ( sK1_SV1 @ sK2_SY8 )
| ~ ( ~ ( cD @ sK2_SY8 )
| ~ ( cE @ sK2_SY8 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(23,plain,
! [SV2: a] :
( ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ( ~ ( cD @ SV2 )
| ~ ( cE @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ~ ( sK1_SV1 @ sK2_SY8 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ( ~ ( ~ ( cD @ sK2_SY8 )
| ~ ( cE @ sK2_SY8 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: a] :
( ( ( ~ ( cD @ SV2 )
| ~ ( cE @ SV2 ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ( sK1_SV1 @ sK2_SY8 )
= $true )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ( ~ ( cD @ sK2_SY8 )
| ~ ( cE @ sK2_SY8 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: a] :
( ( ( ~ ( cD @ SV2 ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: a] :
( ( ( ~ ( cE @ SV2 ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( ( ~ ( cD @ sK2_SY8 ) )
= $true )
| ( ( ~ ( cE @ sK2_SY8 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: a] :
( ( ( cD @ SV2 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV2: a] :
( ( ( cE @ SV2 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ( cD @ sK2_SY8 )
= $false )
| ( ( ~ ( cE @ sK2_SY8 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: a] :
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV2: a] :
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ( cE @ sK2_SY8 )
= $false )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( ~ ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV2: a] :
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV2: a] :
( ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV2: a] :
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV2: a] :
( ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
( ( ( ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
( ( ( ~ ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) ) )
= $false )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV2: a] :
( ( ( ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV2: a] :
( ( ( ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV2: a] :
( ( ( ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV2: a] :
( ( ( ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
( ( ( ~ ( sK1_SV1 @ sK3_SY9 )
| ( cD @ sK3_SY9 ) )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(52,plain,
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) )
| ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(53,plain,
! [SV2: a,SV3: a] :
( ( ( ~ ( sK1_SV1 @ SV3 )
| ( cD @ SV3 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ( sK1_SV1 @ SV4 )
| ( cE @ SV4 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV2: a,SV5: a] :
( ( ( ~ ( sK1_SV1 @ SV5 )
| ( cD @ SV5 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( sK1_SV1 @ SV6 )
| ( cE @ SV6 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
( ( ( ~ ( sK1_SV1 @ sK3_SY9 ) )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
( ( ( cD @ sK3_SY9 )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ( ~ ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV2: a,SV3: a] :
( ( ( ~ ( sK1_SV1 @ SV3 ) )
= $true )
| ( ( cD @ SV3 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ( sK1_SV1 @ SV4 ) )
= $true )
| ( ( cE @ SV4 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV2: a,SV5: a] :
( ( ( ~ ( sK1_SV1 @ SV5 ) )
= $true )
| ( ( cD @ SV5 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( sK1_SV1 @ SV6 ) )
= $true )
| ( ( cE @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(64,plain,
( ( ( sK1_SV1 @ sK3_SY9 )
= $true )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
( ( ( ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( cD @ sK3_SY9 )
= $false )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( ( ! [SY9: a] :
( ~ ( sK1_SV1 @ SY9 )
| ( cD @ SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV2: a,SV3: a] :
( ( ( sK1_SV1 @ SV3 )
= $false )
| ( ( cD @ SV3 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV2: a,SV4: a] :
( ( ( sK1_SV1 @ SV4 )
= $false )
| ( ( cE @ SV4 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cD @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV2: a,SV5: a] :
( ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( cD @ SV5 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV2: a,SV6: a] :
( ( ( sK1_SV1 @ SV6 )
= $false )
| ( ( cE @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( cE @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
( ( ( ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY9 )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
( ( ( ~ ( sK1_SV1 @ sK4_SY10 )
| ( cE @ sK4_SY10 ) )
= $false )
| ( ( cD @ sK3_SY9 )
= $false )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(73,plain,
( ( ( ~ ( sK1_SV1 @ sK5_SY9 )
| ( cD @ sK5_SY9 ) )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(74,plain,
( ( ( ~ ( sK1_SV1 @ sK6_SY10 )
| ( cE @ sK6_SY10 ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY9 )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(75,plain,
( ( ( ~ ( sK1_SV1 @ sK4_SY10 ) )
= $false )
| ( ( cD @ sK3_SY9 )
= $false )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(76,plain,
( ( ( cE @ sK4_SY10 )
= $false )
| ( ( cD @ sK3_SY9 )
= $false )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(77,plain,
( ( ( ~ ( sK1_SV1 @ sK5_SY9 ) )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(78,plain,
( ( ( cD @ sK5_SY9 )
= $false )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(79,plain,
( ( ( ~ ( sK1_SV1 @ sK6_SY10 ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY9 )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(80,plain,
( ( ( cE @ sK6_SY10 )
= $false )
| ( ( sK1_SV1 @ sK3_SY9 )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(81,plain,
( ( ( sK1_SV1 @ sK4_SY10 )
= $true )
| ( ( cD @ sK3_SY9 )
= $false )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
( ( ( sK1_SV1 @ sK5_SY9 )
= $true )
| ( ( ~ ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(83,plain,
( ( ( ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( cD @ sK5_SY9 )
= $false )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
( ( ( sK1_SV1 @ sK6_SY10 )
= $true )
| ( ( sK1_SV1 @ sK3_SY9 )
= $true )
| ( ( sK1_SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(85,plain,
( ( ( ! [SY10: a] :
( ~ ( sK1_SV1 @ SY10 )
| ( cE @ SY10 ) ) )
= $false )
| ( ( sK1_SV1 @ sK5_SY9 )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(86,plain,
( ( ( ~ ( sK1_SV1 @ sK7_SY10 )
| ( cE @ sK7_SY10 ) )
= $false )
| ( ( cD @ sK5_SY9 )
= $false )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(87,plain,
( ( ( ~ ( sK1_SV1 @ sK8_SY10 )
| ( cE @ sK8_SY10 ) )
= $false )
| ( ( sK1_SV1 @ sK5_SY9 )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(88,plain,
( ( ( ~ ( sK1_SV1 @ sK7_SY10 ) )
= $false )
| ( ( cD @ sK5_SY9 )
= $false )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(89,plain,
( ( ( cE @ sK7_SY10 )
= $false )
| ( ( cD @ sK5_SY9 )
= $false )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(90,plain,
( ( ( ~ ( sK1_SV1 @ sK8_SY10 ) )
= $false )
| ( ( sK1_SV1 @ sK5_SY9 )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(91,plain,
( ( ( cE @ sK8_SY10 )
= $false )
| ( ( sK1_SV1 @ sK5_SY9 )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(92,plain,
( ( ( sK1_SV1 @ sK7_SY10 )
= $true )
| ( ( cD @ sK5_SY9 )
= $false )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(93,plain,
( ( ( sK1_SV1 @ sK8_SY10 )
= $true )
| ( ( sK1_SV1 @ sK5_SY9 )
= $true )
| ( ( cD @ sK2_SY8 )
= $false )
| ( ( cE @ sK2_SY8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(94,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[9,93,92,91,89,84,81,80,76,70,69,68,67,12]) ).
thf(95,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV229^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n009.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 : Tue Jun 28 13:59:52 EDT 2022
% 0.12/0.33 % 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).....
% 0.18/0.38
% 0.18/0.38 ********************************
% 0.18/0.38 * All subproblems solved! *
% 0.18/0.38 ********************************
% 0.18/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:94,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.39
% 0.18/0.39 %**** Beginning of derivation protocol ****
% 0.18/0.39 % SZS output start CNFRefutation
% See solution above
% 0.18/0.39
% 0.18/0.39 %**** End of derivation protocol ****
% 0.18/0.39 %**** no. of clauses in derivation: 95 ****
% 0.18/0.39 %**** clause counter: 94 ****
% 0.18/0.39
% 0.18/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:94,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------