TSTP Solution File: SEV094^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV094^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 : 300s
% DateTime : Mon Jun 24 16:01:47 EDT 2024
% Result : Theorem 0.14s 0.43s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 646 ( 300 equ; 0 cnn)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 984 ( 183 ~; 169 |; 102 &; 490 @)
% ( 6 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 167 ( 0 ^ 109 !; 58 ?; 167 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > $o ).
thf(func_def_5,type,
sK1: a > $o ).
thf(func_def_6,type,
sK2: ( a > a ) > a ).
thf(func_def_7,type,
sK3: a > ( a > a ) > a ).
thf(func_def_8,type,
sK4: ( a > a ) > a ).
thf(func_def_9,type,
sK5: a > a ).
thf(func_def_10,type,
sK6: a > a ).
thf(func_def_12,type,
ph8:
!>[X0: $tType] : X0 ).
thf(f154,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f73,f84,f116,f117,f137,f141,f153]) ).
thf(f153,plain,
( spl7_10
| ~ spl7_11 ),
inference(avatar_contradiction_clause,[],[f152]) ).
thf(f152,plain,
( $false
| spl7_10
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f151,f110]) ).
thf(f110,plain,
( ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
= $true )
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f108,plain,
( spl7_11
<=> ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
thf(f151,plain,
( ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
!= $true )
| spl7_10 ),
inference(subsumption_resolution,[],[f150,f34]) ).
thf(f34,plain,
( $true
= ( sK1 @ ( sK2 @ sK6 ) ) ),
inference(subsumption_resolution,[],[f33,f21]) ).
thf(f21,plain,
! [X2: a > a] :
( ( ( sK1 @ ( sK2 @ X2 ) )
= $true )
| ( ( sK0 @ ( sK4 @ X2 ) )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( ! [X2: a > a] :
( ( ! [X4: a] :
( ( ( sK2 @ X2 )
!= ( X2 @ X4 ) )
| ( ( ( sK2 @ X2 )
= ( X2 @ ( sK3 @ X4 @ X2 ) ) )
& ( ( sK0 @ ( sK3 @ X4 @ X2 ) )
= $true )
& ( ( sK3 @ X4 @ X2 )
!= X4 ) )
| ( ( sK0 @ X4 )
!= $true ) )
& ( ( sK1 @ ( sK2 @ X2 ) )
= $true ) )
| ( ( ( sK0 @ ( sK4 @ X2 ) )
= $true )
& ( ( sK1 @ ( X2 @ ( sK4 @ X2 ) ) )
!= $true ) ) )
& ! [X8: a] :
( ( ( ( sK5 @ ( sK6 @ X8 ) )
= X8 )
& ! [X10: a] :
( ( ( sK1 @ X10 )
!= $true )
| ( ( sK6 @ X8 )
= X10 )
| ( ( sK5 @ X10 )
!= X8 ) )
& ( ( sK1 @ ( sK6 @ X8 ) )
= $true ) )
| ( ( sK0 @ X8 )
!= $true ) )
& ! [X11: a] :
( ( ( sK1 @ X11 )
!= $true )
| ( ( sK0 @ ( sK5 @ X11 ) )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f8,f14,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > $o,X1: a > $o] :
( ! [X2: a > a] :
( ? [X3: a] :
( ! [X4: a] :
( ( ( X2 @ X4 )
!= X3 )
| ? [X5: a] :
( ( ( X2 @ X5 )
= X3 )
& ( ( X0 @ X5 )
= $true )
& ( X4 != X5 ) )
| ( ( X0 @ X4 )
!= $true ) )
& ( ( X1 @ X3 )
= $true ) )
| ? [X6: a] :
( ( ( X0 @ X6 )
= $true )
& ( ( X1 @ ( X2 @ X6 ) )
!= $true ) ) )
& ? [X7: a > a] :
( ! [X8: a] :
( ? [X9: a] :
( ( ( X7 @ X9 )
= X8 )
& ! [X10: a] :
( ( ( X1 @ X10 )
!= $true )
| ( X9 = X10 )
| ( ( X7 @ X10 )
!= X8 ) )
& ( ( X1 @ X9 )
= $true ) )
| ( ( X0 @ X8 )
!= $true ) )
& ! [X11: a] :
( ( ( X1 @ X11 )
!= $true )
| ( ( X0 @ ( X7 @ X11 ) )
= $true ) ) ) )
=> ( ! [X2: a > a] :
( ? [X3: a] :
( ! [X4: a] :
( ( ( X2 @ X4 )
!= X3 )
| ? [X5: a] :
( ( ( X2 @ X5 )
= X3 )
& ( ( sK0 @ X5 )
= $true )
& ( X4 != X5 ) )
| ( ( sK0 @ X4 )
!= $true ) )
& ( ( sK1 @ X3 )
= $true ) )
| ? [X6: a] :
( ( ( sK0 @ X6 )
= $true )
& ( ( sK1 @ ( X2 @ X6 ) )
!= $true ) ) )
& ? [X7: a > a] :
( ! [X8: a] :
( ? [X9: a] :
( ( ( X7 @ X9 )
= X8 )
& ! [X10: a] :
( ( ( sK1 @ X10 )
!= $true )
| ( X9 = X10 )
| ( ( X7 @ X10 )
!= X8 ) )
& ( $true
= ( sK1 @ X9 ) ) )
| ( ( sK0 @ X8 )
!= $true ) )
& ! [X11: a] :
( ( ( sK1 @ X11 )
!= $true )
| ( ( sK0 @ ( X7 @ X11 ) )
= $true ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X2: a > a] :
( ? [X3: a] :
( ! [X4: a] :
( ( ( X2 @ X4 )
!= X3 )
| ? [X5: a] :
( ( ( X2 @ X5 )
= X3 )
& ( ( sK0 @ X5 )
= $true )
& ( X4 != X5 ) )
| ( ( sK0 @ X4 )
!= $true ) )
& ( ( sK1 @ X3 )
= $true ) )
=> ( ! [X4: a] :
( ( ( sK2 @ X2 )
!= ( X2 @ X4 ) )
| ? [X5: a] :
( ( ( X2 @ X5 )
= ( sK2 @ X2 ) )
& ( ( sK0 @ X5 )
= $true )
& ( X4 != X5 ) )
| ( ( sK0 @ X4 )
!= $true ) )
& ( ( sK1 @ ( sK2 @ X2 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X2: a > a,X4: a] :
( ? [X5: a] :
( ( ( X2 @ X5 )
= ( sK2 @ X2 ) )
& ( ( sK0 @ X5 )
= $true )
& ( X4 != X5 ) )
=> ( ( ( sK2 @ X2 )
= ( X2 @ ( sK3 @ X4 @ X2 ) ) )
& ( ( sK0 @ ( sK3 @ X4 @ X2 ) )
= $true )
& ( ( sK3 @ X4 @ X2 )
!= X4 ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X2: a > a] :
( ? [X6: a] :
( ( ( sK0 @ X6 )
= $true )
& ( ( sK1 @ ( X2 @ X6 ) )
!= $true ) )
=> ( ( ( sK0 @ ( sK4 @ X2 ) )
= $true )
& ( ( sK1 @ ( X2 @ ( sK4 @ X2 ) ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
( ? [X7: a > a] :
( ! [X8: a] :
( ? [X9: a] :
( ( ( X7 @ X9 )
= X8 )
& ! [X10: a] :
( ( ( sK1 @ X10 )
!= $true )
| ( X9 = X10 )
| ( ( X7 @ X10 )
!= X8 ) )
& ( $true
= ( sK1 @ X9 ) ) )
| ( ( sK0 @ X8 )
!= $true ) )
& ! [X11: a] :
( ( ( sK1 @ X11 )
!= $true )
| ( ( sK0 @ ( X7 @ X11 ) )
= $true ) ) )
=> ( ! [X8: a] :
( ? [X9: a] :
( ( ( sK5 @ X9 )
= X8 )
& ! [X10: a] :
( ( ( sK1 @ X10 )
!= $true )
| ( X9 = X10 )
| ( ( sK5 @ X10 )
!= X8 ) )
& ( $true
= ( sK1 @ X9 ) ) )
| ( ( sK0 @ X8 )
!= $true ) )
& ! [X11: a] :
( ( ( sK1 @ X11 )
!= $true )
| ( ( sK0 @ ( sK5 @ X11 ) )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
! [X8: a] :
( ? [X9: a] :
( ( ( sK5 @ X9 )
= X8 )
& ! [X10: a] :
( ( ( sK1 @ X10 )
!= $true )
| ( X9 = X10 )
| ( ( sK5 @ X10 )
!= X8 ) )
& ( $true
= ( sK1 @ X9 ) ) )
=> ( ( ( sK5 @ ( sK6 @ X8 ) )
= X8 )
& ! [X10: a] :
( ( ( sK1 @ X10 )
!= $true )
| ( ( sK6 @ X8 )
= X10 )
| ( ( sK5 @ X10 )
!= X8 ) )
& ( ( sK1 @ ( sK6 @ X8 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o] :
( ! [X2: a > a] :
( ? [X3: a] :
( ! [X4: a] :
( ( ( X2 @ X4 )
!= X3 )
| ? [X5: a] :
( ( ( X2 @ X5 )
= X3 )
& ( ( X0 @ X5 )
= $true )
& ( X4 != X5 ) )
| ( ( X0 @ X4 )
!= $true ) )
& ( ( X1 @ X3 )
= $true ) )
| ? [X6: a] :
( ( ( X0 @ X6 )
= $true )
& ( ( X1 @ ( X2 @ X6 ) )
!= $true ) ) )
& ? [X7: a > a] :
( ! [X8: a] :
( ? [X9: a] :
( ( ( X7 @ X9 )
= X8 )
& ! [X10: a] :
( ( ( X1 @ X10 )
!= $true )
| ( X9 = X10 )
| ( ( X7 @ X10 )
!= X8 ) )
& ( ( X1 @ X9 )
= $true ) )
| ( ( X0 @ X8 )
!= $true ) )
& ! [X11: a] :
( ( ( X1 @ X11 )
!= $true )
| ( ( X0 @ ( X7 @ X11 ) )
= $true ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o] :
( ! [X7: a > a] :
( ? [X9: a] :
( ! [X10: a] :
( ( ( X7 @ X10 )
!= X9 )
| ? [X11: a] :
( ( ( X7 @ X11 )
= X9 )
& ( ( X0 @ X11 )
= $true )
& ( X10 != X11 ) )
| ( ( X0 @ X10 )
!= $true ) )
& ( ( X1 @ X9 )
= $true ) )
| ? [X8: a] :
( ( ( X0 @ X8 )
= $true )
& ( ( X1 @ ( X7 @ X8 ) )
!= $true ) ) )
& ? [X2: a > a] :
( ! [X3: a] :
( ? [X4: a] :
( ( ( X2 @ X4 )
= X3 )
& ! [X5: a] :
( ( ( X1 @ X5 )
!= $true )
| ( X4 = X5 )
| ( ( X2 @ X5 )
!= X3 ) )
& ( ( X1 @ X4 )
= $true ) )
| ( ( X0 @ X3 )
!= $true ) )
& ! [X6: a] :
( ( ( X1 @ X6 )
!= $true )
| ( ( X0 @ ( X2 @ X6 ) )
= $true ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X1: a > $o,X0: a > $o] :
( ! [X7: a > a] :
( ? [X9: a] :
( ! [X10: a] :
( ( ( X0 @ X10 )
!= $true )
| ? [X11: a] :
( ( X10 != X11 )
& ( ( X0 @ X11 )
= $true )
& ( ( X7 @ X11 )
= X9 ) )
| ( ( X7 @ X10 )
!= X9 ) )
& ( ( X1 @ X9 )
= $true ) )
| ? [X8: a] :
( ( ( X0 @ X8 )
= $true )
& ( ( X1 @ ( X7 @ X8 ) )
!= $true ) ) )
& ? [X2: a > a] :
( ! [X6: a] :
( ( ( X1 @ X6 )
!= $true )
| ( ( X0 @ ( X2 @ X6 ) )
= $true ) )
& ! [X3: a] :
( ? [X4: a] :
( ( ( X1 @ X4 )
= $true )
& ( ( X2 @ X4 )
= X3 )
& ! [X5: a] :
( ( X4 = X5 )
| ( ( X1 @ X5 )
!= $true )
| ( ( X2 @ X5 )
!= X3 ) ) )
| ( ( X0 @ X3 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X1: a > $o,X0: a > $o] :
( ? [X2: a > a] :
( ! [X6: a] :
( ( ( X1 @ X6 )
= $true )
=> ( ( X0 @ ( X2 @ X6 ) )
= $true ) )
& ! [X3: a] :
( ( ( X0 @ X3 )
= $true )
=> ? [X4: a] :
( ( ( X1 @ X4 )
= $true )
& ( ( X2 @ X4 )
= X3 )
& ! [X5: a] :
( ( ( ( X1 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X3 ) )
=> ( X4 = X5 ) ) ) ) )
=> ? [X7: a > a] :
( ! [X9: a] :
( ( ( X1 @ X9 )
= $true )
=> ? [X10: a] :
( ( ( X0 @ X10 )
= $true )
& ! [X11: a] :
( ( ( ( X0 @ X11 )
= $true )
& ( ( X7 @ X11 )
= X9 ) )
=> ( X10 = X11 ) )
& ( ( X7 @ X10 )
= X9 ) ) )
& ! [X8: a] :
( ( ( X0 @ X8 )
= $true )
=> ( ( X1 @ ( X7 @ X8 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ? [X2: a > a] :
( ! [X3: a] :
( ( X0 @ X3 )
=> ? [X4: a] :
( ( ( X2 @ X4 )
= X3 )
& ! [X5: a] :
( ( ( X1 @ X5 )
& ( ( X2 @ X5 )
= X3 ) )
=> ( X4 = X5 ) )
& ( X1 @ X4 ) ) )
& ! [X6: a] :
( ( X1 @ X6 )
=> ( X0 @ ( X2 @ X6 ) ) ) )
=> ? [X7: a > a] :
( ! [X8: a] :
( ( X0 @ X8 )
=> ( X1 @ ( X7 @ X8 ) ) )
& ! [X9: a] :
( ( X1 @ X9 )
=> ? [X10: a] :
( ( ( X7 @ X10 )
= X9 )
& ( X0 @ X10 )
& ! [X11: a] :
( ( ( ( X7 @ X11 )
= X9 )
& ( X0 @ X11 ) )
=> ( X10 = X11 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > $o,X0: a > $o] :
( ? [X2: a > a] :
( ! [X4: a] :
( ( X1 @ X4 )
=> ? [X3: a] :
( ( ( X2 @ X3 )
= X4 )
& ! [X5: a] :
( ( ( X0 @ X5 )
& ( ( X2 @ X5 )
= X4 ) )
=> ( X3 = X5 ) )
& ( X0 @ X3 ) ) )
& ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ ( X2 @ X3 ) ) ) )
=> ? [X2: a > a] :
( ! [X3: a] :
( ( X1 @ X3 )
=> ( X0 @ ( X2 @ X3 ) ) )
& ! [X4: a] :
( ( X0 @ X4 )
=> ? [X3: a] :
( ( ( X2 @ X3 )
= X4 )
& ( X1 @ X3 )
& ! [X5: a] :
( ( ( ( X2 @ X5 )
= X4 )
& ( X1 @ X5 ) )
=> ( X3 = X5 ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: a > $o,X0: a > $o] :
( ? [X2: a > a] :
( ! [X4: a] :
( ( X1 @ X4 )
=> ? [X3: a] :
( ( ( X2 @ X3 )
= X4 )
& ! [X5: a] :
( ( ( X0 @ X5 )
& ( ( X2 @ X5 )
= X4 ) )
=> ( X3 = X5 ) )
& ( X0 @ X3 ) ) )
& ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ ( X2 @ X3 ) ) ) )
=> ? [X2: a > a] :
( ! [X3: a] :
( ( X1 @ X3 )
=> ( X0 @ ( X2 @ X3 ) ) )
& ! [X4: a] :
( ( X0 @ X4 )
=> ? [X3: a] :
( ( ( X2 @ X3 )
= X4 )
& ( X1 @ X3 )
& ! [X5: a] :
( ( ( ( X2 @ X5 )
= X4 )
& ( X1 @ X5 ) )
=> ( X3 = X5 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEQP1_1B_pme) ).
thf(f33,plain,
( ( ( sK0 @ ( sK4 @ sK6 ) )
!= $true )
| ( $true
= ( sK1 @ ( sK2 @ sK6 ) ) ) ),
inference(trivial_inequality_removal,[],[f32]) ).
thf(f32,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK4 @ sK6 ) )
!= $true )
| ( $true
= ( sK1 @ ( sK2 @ sK6 ) ) ) ),
inference(superposition,[],[f20,f17]) ).
thf(f17,plain,
! [X8: a] :
( ( ( sK1 @ ( sK6 @ X8 ) )
= $true )
| ( ( sK0 @ X8 )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f20,plain,
! [X2: a > a] :
( ( ( sK1 @ ( X2 @ ( sK4 @ X2 ) ) )
!= $true )
| ( ( sK1 @ ( sK2 @ X2 ) )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f150,plain,
( ( $true
!= ( sK1 @ ( sK2 @ sK6 ) ) )
| ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
!= $true )
| spl7_10 ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f149,plain,
( ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
!= $true )
| ( ( sK2 @ sK6 )
!= ( sK2 @ sK6 ) )
| ( $true
!= ( sK1 @ ( sK2 @ sK6 ) ) )
| spl7_10 ),
inference(superposition,[],[f103,f28]) ).
thf(f28,plain,
! [X10: a] :
( ( ( sK6 @ ( sK5 @ X10 ) )
= X10 )
| ( ( sK0 @ ( sK5 @ X10 ) )
!= $true )
| ( ( sK1 @ X10 )
!= $true ) ),
inference(equality_resolution,[],[f18]) ).
thf(f18,plain,
! [X10: a,X8: a] :
( ( ( sK1 @ X10 )
!= $true )
| ( ( sK6 @ X8 )
= X10 )
| ( ( sK5 @ X10 )
!= X8 )
| ( ( sK0 @ X8 )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f103,plain,
( ( ( sK2 @ sK6 )
!= ( sK6 @ ( sK5 @ ( sK2 @ sK6 ) ) ) )
| spl7_10 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f102,plain,
( spl7_10
<=> ( ( sK2 @ sK6 )
= ( sK6 @ ( sK5 @ ( sK2 @ sK6 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
thf(f141,plain,
spl7_11,
inference(avatar_contradiction_clause,[],[f140]) ).
thf(f140,plain,
( $false
| spl7_11 ),
inference(subsumption_resolution,[],[f139,f34]) ).
thf(f139,plain,
( ( $true
!= ( sK1 @ ( sK2 @ sK6 ) ) )
| spl7_11 ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f138,plain,
( ( $true != $true )
| ( $true
!= ( sK1 @ ( sK2 @ sK6 ) ) )
| spl7_11 ),
inference(superposition,[],[f109,f16]) ).
thf(f16,plain,
! [X11: a] :
( ( ( sK0 @ ( sK5 @ X11 ) )
= $true )
| ( ( sK1 @ X11 )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f109,plain,
( ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
!= $true )
| spl7_11 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f137,plain,
( ~ spl7_11
| ~ spl7_10
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f130,f114,f102,f108]) ).
thf(f114,plain,
( spl7_12
<=> ! [X0: a] :
( ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK5 @ ( sK2 @ sK6 ) )
!= X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
thf(f130,plain,
( ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
!= $true )
| ~ spl7_10
| ~ spl7_12 ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f125,plain,
( ( ( sK5 @ ( sK2 @ sK6 ) )
!= ( sK5 @ ( sK2 @ sK6 ) ) )
| ( ( sK2 @ sK6 )
!= ( sK2 @ sK6 ) )
| ( ( sK0 @ ( sK5 @ ( sK2 @ sK6 ) ) )
!= $true )
| ~ spl7_10
| ~ spl7_12 ),
inference(superposition,[],[f115,f104]) ).
thf(f104,plain,
( ( ( sK2 @ sK6 )
= ( sK6 @ ( sK5 @ ( sK2 @ sK6 ) ) ) )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f115,plain,
( ! [X0: a] :
( ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK5 @ ( sK2 @ sK6 ) )
!= X0 ) )
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f117,plain,
( spl7_4
| spl7_12
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f92,f57,f114,f53]) ).
thf(f53,plain,
( spl7_4
<=> ( ( sK0 @ ( sK4 @ sK6 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
thf(f57,plain,
( spl7_5
<=> ! [X0: a] :
( ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK5 @ ( sK2 @ sK6 ) )
= ( sK3 @ X0 @ sK6 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
thf(f92,plain,
( ! [X0: a] :
( ( ( sK0 @ ( sK4 @ sK6 ) )
= $true )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK5 @ ( sK2 @ sK6 ) )
!= X0 )
| ( ( sK0 @ X0 )
!= $true ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[],[f90]) ).
thf(f90,plain,
( ! [X0: a] :
( ( ( sK0 @ X0 )
!= $true )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK0 @ ( sK4 @ sK6 ) )
= $true )
| ( ( sK5 @ ( sK2 @ sK6 ) )
!= X0 )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) ) )
| ~ spl7_5 ),
inference(superposition,[],[f23,f58]) ).
thf(f58,plain,
( ! [X0: a] :
( ( ( sK5 @ ( sK2 @ sK6 ) )
= ( sK3 @ X0 @ sK6 ) )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) ) )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f23,plain,
! [X2: a > a,X4: a] :
( ( ( sK3 @ X4 @ X2 )
!= X4 )
| ( ( sK2 @ X2 )
!= ( X2 @ X4 ) )
| ( ( sK0 @ X4 )
!= $true )
| ( ( sK0 @ ( sK4 @ X2 ) )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f116,plain,
( spl7_12
| ~ spl7_7
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f95,f57,f70,f114]) ).
thf(f70,plain,
( spl7_7
<=> ( ( sK1 @ ( sK6 @ ( sK4 @ sK6 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
thf(f95,plain,
( ! [X0: a] :
( ( ( sK1 @ ( sK6 @ ( sK4 @ sK6 ) ) )
!= $true )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK5 @ ( sK2 @ sK6 ) )
!= X0 )
| ( ( sK0 @ X0 )
!= $true ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[],[f89]) ).
thf(f89,plain,
( ! [X0: a] :
( ( ( sK5 @ ( sK2 @ sK6 ) )
!= X0 )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK1 @ ( sK6 @ ( sK4 @ sK6 ) ) )
!= $true )
| ( ( sK0 @ X0 )
!= $true ) )
| ~ spl7_5 ),
inference(superposition,[],[f22,f58]) ).
thf(f22,plain,
! [X2: a > a,X4: a] :
( ( ( sK3 @ X4 @ X2 )
!= X4 )
| ( ( sK0 @ X4 )
!= $true )
| ( ( sK1 @ ( X2 @ ( sK4 @ X2 ) ) )
!= $true )
| ( ( sK2 @ X2 )
!= ( X2 @ X4 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f84,plain,
( ~ spl7_4
| spl7_7 ),
inference(avatar_split_clause,[],[f81,f70,f53]) ).
thf(f81,plain,
( ( ( sK0 @ ( sK4 @ sK6 ) )
!= $true )
| spl7_7 ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f80,plain,
( ( ( sK0 @ ( sK4 @ sK6 ) )
!= $true )
| ( $true != $true )
| spl7_7 ),
inference(superposition,[],[f72,f17]) ).
thf(f72,plain,
( ( ( sK1 @ ( sK6 @ ( sK4 @ sK6 ) ) )
!= $true )
| spl7_7 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f73,plain,
( spl7_5
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f68,f70,f57]) ).
thf(f68,plain,
! [X0: a] :
( ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK5 @ ( sK2 @ sK6 ) )
= ( sK3 @ X0 @ sK6 ) )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK1 @ ( sK6 @ ( sK4 @ sK6 ) ) )
!= $true ) ),
inference(subsumption_resolution,[],[f66,f24]) ).
thf(f24,plain,
! [X2: a > a,X4: a] :
( ( ( sK0 @ ( sK3 @ X4 @ X2 ) )
= $true )
| ( ( sK2 @ X2 )
!= ( X2 @ X4 ) )
| ( ( sK0 @ X4 )
!= $true )
| ( ( sK1 @ ( X2 @ ( sK4 @ X2 ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f66,plain,
! [X0: a] :
( ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK5 @ ( sK2 @ sK6 ) )
= ( sK3 @ X0 @ sK6 ) )
| ( ( sK0 @ ( sK3 @ X0 @ sK6 ) )
!= $true )
| ( ( sK1 @ ( sK6 @ ( sK4 @ sK6 ) ) )
!= $true ) ),
inference(superposition,[],[f19,f26]) ).
thf(f26,plain,
! [X2: a > a,X4: a] :
( ( ( sK2 @ X2 )
= ( X2 @ ( sK3 @ X4 @ X2 ) ) )
| ( ( sK1 @ ( X2 @ ( sK4 @ X2 ) ) )
!= $true )
| ( ( sK0 @ X4 )
!= $true )
| ( ( sK2 @ X2 )
!= ( X2 @ X4 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f19,plain,
! [X8: a] :
( ( ( sK5 @ ( sK6 @ X8 ) )
= X8 )
| ( ( sK0 @ X8 )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f59,plain,
( spl7_4
| spl7_5 ),
inference(avatar_split_clause,[],[f51,f57,f53]) ).
thf(f51,plain,
! [X0: a] :
( ( ( sK0 @ ( sK4 @ sK6 ) )
= $true )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) )
| ( ( sK5 @ ( sK2 @ sK6 ) )
= ( sK3 @ X0 @ sK6 ) )
| ( ( sK0 @ X0 )
!= $true ) ),
inference(subsumption_resolution,[],[f37,f25]) ).
thf(f25,plain,
! [X2: a > a,X4: a] :
( ( ( sK0 @ ( sK3 @ X4 @ X2 ) )
= $true )
| ( ( sK0 @ X4 )
!= $true )
| ( ( sK0 @ ( sK4 @ X2 ) )
= $true )
| ( ( sK2 @ X2 )
!= ( X2 @ X4 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f37,plain,
! [X0: a] :
( ( ( sK0 @ ( sK4 @ sK6 ) )
= $true )
| ( ( sK0 @ X0 )
!= $true )
| ( ( sK0 @ ( sK3 @ X0 @ sK6 ) )
!= $true )
| ( ( sK5 @ ( sK2 @ sK6 ) )
= ( sK3 @ X0 @ sK6 ) )
| ( ( sK2 @ sK6 )
!= ( sK6 @ X0 ) ) ),
inference(superposition,[],[f19,f27]) ).
thf(f27,plain,
! [X2: a > a,X4: a] :
( ( ( sK2 @ X2 )
= ( X2 @ ( sK3 @ X4 @ X2 ) ) )
| ( ( sK0 @ ( sK4 @ X2 ) )
= $true )
| ( ( sK2 @ X2 )
!= ( X2 @ X4 ) )
| ( ( sK0 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : SEV094^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.15 % Command : run_vampire %s %d THM
% 0.14/0.37 % Computer : n025.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Fri Jun 21 18:14:24 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.39 This is a TH0_THM_EQU_NAR problem
% 0.14/0.39 Running higher-order theorem proving
% 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.14/0.40 % (24720)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.41 % (24715)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.14/0.41 % (24714)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.41 % (24718)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.41 % (24720)Instruction limit reached!
% 0.14/0.41 % (24720)------------------------------
% 0.14/0.41 % (24720)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.41 % (24720)Termination reason: Unknown
% 0.14/0.41 % (24720)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (24720)Memory used [KB]: 5628
% 0.14/0.41 % (24720)Time elapsed: 0.009 s
% 0.14/0.41 % (24720)Instructions burned: 19 (million)
% 0.14/0.41 % (24720)------------------------------
% 0.14/0.41 % (24720)------------------------------
% 0.14/0.41 % (24718)Instruction limit reached!
% 0.14/0.41 % (24718)------------------------------
% 0.14/0.41 % (24718)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.41 % (24718)Termination reason: Unknown
% 0.14/0.41 % (24718)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (24718)Memory used [KB]: 1023
% 0.14/0.41 % (24718)Time elapsed: 0.003 s
% 0.14/0.41 % (24718)Instructions burned: 2 (million)
% 0.14/0.41 % (24718)------------------------------
% 0.14/0.41 % (24718)------------------------------
% 0.14/0.41 % (24715)Instruction limit reached!
% 0.14/0.41 % (24715)------------------------------
% 0.14/0.41 % (24715)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.41 % (24715)Termination reason: Unknown
% 0.14/0.41 % (24715)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (24715)Memory used [KB]: 5500
% 0.14/0.41 % (24715)Time elapsed: 0.006 s
% 0.14/0.41 % (24715)Instructions burned: 5 (million)
% 0.14/0.41 % (24715)------------------------------
% 0.14/0.41 % (24715)------------------------------
% 0.14/0.41 % (24716)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.14/0.41 % (24719)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.14/0.42 % (24721)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.42 % (24721)Instruction limit reached!
% 0.14/0.42 % (24721)------------------------------
% 0.14/0.42 % (24721)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.42 % (24721)Termination reason: Unknown
% 0.14/0.42 % (24721)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (24721)Memory used [KB]: 5500
% 0.14/0.42 % (24721)Time elapsed: 0.002 s
% 0.14/0.42 % (24721)Instructions burned: 3 (million)
% 0.14/0.42 % (24721)------------------------------
% 0.14/0.42 % (24721)------------------------------
% 0.14/0.42 % (24717)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.42 % (24717)Instruction limit reached!
% 0.14/0.42 % (24717)------------------------------
% 0.14/0.42 % (24717)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.42 % (24717)Termination reason: Unknown
% 0.14/0.42 % (24717)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (24717)Memory used [KB]: 5500
% 0.14/0.42 % (24717)Time elapsed: 0.004 s
% 0.14/0.42 % (24717)Instructions burned: 3 (million)
% 0.14/0.42 % (24717)------------------------------
% 0.14/0.42 % (24717)------------------------------
% 0.14/0.43 % (24722)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.43 % (24724)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.43 % (24724)Instruction limit reached!
% 0.14/0.43 % (24724)------------------------------
% 0.14/0.43 % (24724)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.43 % (24724)Termination reason: Unknown
% 0.14/0.43 % (24724)Termination phase: Saturation
% 0.14/0.43
% 0.14/0.43 % (24724)Memory used [KB]: 5500
% 0.14/0.43 % (24724)Time elapsed: 0.002 s
% 0.14/0.43 % (24724)Instructions burned: 3 (million)
% 0.14/0.43 % (24724)------------------------------
% 0.14/0.43 % (24724)------------------------------
% 0.14/0.43 % (24719)First to succeed.
% 0.14/0.43 % (24716)Instruction limit reached!
% 0.14/0.43 % (24716)------------------------------
% 0.14/0.43 % (24716)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.43 % (24716)Termination reason: Unknown
% 0.14/0.43 % (24716)Termination phase: Saturation
% 0.14/0.43
% 0.14/0.43 % (24716)Memory used [KB]: 5628
% 0.14/0.43 % (24716)Time elapsed: 0.018 s
% 0.14/0.43 % (24716)Instructions burned: 28 (million)
% 0.14/0.43 % (24716)------------------------------
% 0.14/0.43 % (24716)------------------------------
% 0.14/0.43 % (24723)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.43 % (24719)Refutation found. Thanks to Tanya!
% 0.14/0.43 % SZS status Theorem for theBenchmark
% 0.14/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43 % (24719)------------------------------
% 0.14/0.43 % (24719)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.43 % (24719)Termination reason: Refutation
% 0.14/0.43
% 0.14/0.43 % (24719)Memory used [KB]: 5628
% 0.14/0.43 % (24719)Time elapsed: 0.020 s
% 0.14/0.43 % (24719)Instructions burned: 21 (million)
% 0.14/0.43 % (24719)------------------------------
% 0.14/0.43 % (24719)------------------------------
% 0.14/0.43 % (24713)Success in time 0.035 s
%------------------------------------------------------------------------------