TSTP Solution File: MGT012+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT012+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 07:57:03 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 42
% Syntax : Number of formulae : 157 ( 23 unt; 0 def)
% Number of atoms : 600 ( 20 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 793 ( 350 ~; 314 |; 83 &)
% ( 31 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 32 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 290 ( 268 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,plain,
$false,
inference(avatar_sat_refutation,[],[f54,f59,f64,f69,f74,f79,f84,f88,f92,f98,f102,f106,f111,f116,f121,f128,f132,f137,f141,f146,f153,f161,f170,f175,f180,f185,f192,f199,f201,f207,f215,f218]) ).
fof(f218,plain,
( ~ spl7_2
| ~ spl7_10
| ~ spl7_31 ),
inference(avatar_split_clause,[],[f216,f213,f96,f56]) ).
fof(f56,plain,
( spl7_2
<=> organization(sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f96,plain,
( spl7_10
<=> ! [X0,X1] :
( inertia(X0,sK5(X0,X1),X1)
| ~ organization(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f213,plain,
( spl7_31
<=> ! [X0] : ~ inertia(sK0,X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).
fof(f216,plain,
( ~ organization(sK0,sK4)
| ~ spl7_10
| ~ spl7_31 ),
inference(resolution,[],[f214,f97]) ).
fof(f97,plain,
( ! [X0,X1] :
( inertia(X0,sK5(X0,X1),X1)
| ~ organization(X0,X1) )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f214,plain,
( ! [X0] : ~ inertia(sK0,X0,sK4)
| ~ spl7_31 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f215,plain,
( spl7_31
| ~ spl7_26
| ~ spl7_30 ),
inference(avatar_split_clause,[],[f211,f205,f178,f213]) ).
fof(f178,plain,
( spl7_26
<=> ! [X0] :
( ~ inertia(sK0,X0,sK4)
| ~ greater(sK5(sK0,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
fof(f205,plain,
( spl7_30
<=> ! [X0] :
( ~ inertia(sK0,X0,sK4)
| greater(sK5(sK0,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).
fof(f211,plain,
( ! [X0] : ~ inertia(sK0,X0,sK4)
| ~ spl7_26
| ~ spl7_30 ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,plain,
( ! [X0] :
( ~ inertia(sK0,X0,sK4)
| ~ inertia(sK0,X0,sK4) )
| ~ spl7_26
| ~ spl7_30 ),
inference(resolution,[],[f206,f179]) ).
fof(f179,plain,
( ! [X0] :
( ~ greater(sK5(sK0,sK3),X0)
| ~ inertia(sK0,X0,sK4) )
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f206,plain,
( ! [X0] :
( greater(sK5(sK0,sK3),X0)
| ~ inertia(sK0,X0,sK4) )
| ~ spl7_30 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( ~ spl7_1
| spl7_30
| ~ spl7_10
| ~ spl7_23 ),
inference(avatar_split_clause,[],[f203,f165,f96,f205,f51]) ).
fof(f51,plain,
( spl7_1
<=> organization(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f165,plain,
( spl7_23
<=> ! [X2,X1] :
( ~ inertia(sK0,X1,sK4)
| ~ inertia(sK0,X2,sK3)
| greater(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f203,plain,
( ! [X0] :
( ~ inertia(sK0,X0,sK4)
| greater(sK5(sK0,sK3),X0)
| ~ organization(sK0,sK3) )
| ~ spl7_10
| ~ spl7_23 ),
inference(resolution,[],[f166,f97]) ).
fof(f166,plain,
( ! [X2,X1] :
( ~ inertia(sK0,X2,sK3)
| ~ inertia(sK0,X1,sK4)
| greater(X2,X1) )
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f201,plain,
( ~ spl7_1
| ~ spl7_11
| spl7_29 ),
inference(avatar_split_clause,[],[f200,f196,f100,f51]) ).
fof(f100,plain,
( spl7_11
<=> ! [X0,X1] :
( class(X0,sK6(X0,X1),X1)
| ~ organization(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f196,plain,
( spl7_29
<=> class(sK0,sK6(sK0,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
fof(f200,plain,
( ~ organization(sK0,sK3)
| ~ spl7_11
| spl7_29 ),
inference(resolution,[],[f198,f101]) ).
fof(f101,plain,
( ! [X0,X1] :
( class(X0,sK6(X0,X1),X1)
| ~ organization(X0,X1) )
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f198,plain,
( ~ class(sK0,sK6(sK0,sK3),sK3)
| spl7_29 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f199,plain,
( ~ spl7_29
| spl7_27
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f193,f189,f182,f196]) ).
fof(f182,plain,
( spl7_27
<=> class(sK0,sK6(sK0,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
fof(f189,plain,
( spl7_28
<=> sK6(sK0,sK3) = sK6(sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
fof(f193,plain,
( ~ class(sK0,sK6(sK0,sK3),sK3)
| spl7_27
| ~ spl7_28 ),
inference(superposition,[],[f184,f191]) ).
fof(f191,plain,
( sK6(sK0,sK3) = sK6(sK0,sK4)
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f184,plain,
( ~ class(sK0,sK6(sK0,sK4),sK3)
| spl7_27 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f192,plain,
( ~ spl7_2
| spl7_28
| ~ spl7_11
| ~ spl7_18 ),
inference(avatar_split_clause,[],[f157,f135,f100,f189,f56]) ).
fof(f135,plain,
( spl7_18
<=> ! [X0] :
( sK6(sK0,sK3) = X0
| ~ class(sK0,X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
fof(f157,plain,
( sK6(sK0,sK3) = sK6(sK0,sK4)
| ~ organization(sK0,sK4)
| ~ spl7_11
| ~ spl7_18 ),
inference(resolution,[],[f136,f101]) ).
fof(f136,plain,
( ! [X0] :
( ~ class(sK0,X0,sK4)
| sK6(sK0,sK3) = X0 )
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f185,plain,
( ~ spl7_2
| ~ spl7_27
| ~ spl7_11
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f176,f168,f100,f182,f56]) ).
fof(f168,plain,
( spl7_24
<=> ! [X0] :
( ~ class(sK0,X0,sK4)
| ~ class(sK0,X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
fof(f176,plain,
( ~ class(sK0,sK6(sK0,sK4),sK3)
| ~ organization(sK0,sK4)
| ~ spl7_11
| ~ spl7_24 ),
inference(resolution,[],[f169,f101]) ).
fof(f169,plain,
( ! [X0] :
( ~ class(sK0,X0,sK4)
| ~ class(sK0,X0,sK3) )
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f180,plain,
( spl7_26
| ~ spl7_9
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f163,f159,f90,f178]) ).
fof(f90,plain,
( spl7_9
<=> ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f159,plain,
( spl7_22
<=> ! [X0] :
( greater(X0,sK5(sK0,sK3))
| ~ inertia(sK0,X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
fof(f163,plain,
( ! [X0] :
( ~ inertia(sK0,X0,sK4)
| ~ greater(sK5(sK0,sK3),X0) )
| ~ spl7_9
| ~ spl7_22 ),
inference(resolution,[],[f160,f91]) ).
fof(f91,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f160,plain,
( ! [X0] :
( greater(X0,sK5(sK0,sK3))
| ~ inertia(sK0,X0,sK4) )
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f175,plain,
( ~ spl7_25
| ~ spl7_8
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f162,f159,f86,f172]) ).
fof(f172,plain,
( spl7_25
<=> inertia(sK0,sK5(sK0,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
fof(f86,plain,
( spl7_8
<=> ! [X1] : ~ greater(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f162,plain,
( ~ inertia(sK0,sK5(sK0,sK3),sK4)
| ~ spl7_8
| ~ spl7_22 ),
inference(resolution,[],[f160,f87]) ).
fof(f87,plain,
( ! [X1] : ~ greater(X1,X1)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f170,plain,
( spl7_23
| ~ spl7_4
| spl7_24
| ~ spl7_2
| ~ spl7_7
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f148,f144,f81,f56,f168,f66,f165]) ).
fof(f66,plain,
( spl7_4
<=> greater(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f81,plain,
( spl7_7
<=> complexity(sK0,sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f144,plain,
( spl7_20
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ greater(sK1,X0)
| ~ organization(X2,X4)
| ~ class(X2,X5,X4)
| ~ class(sK0,X5,sK3)
| ~ complexity(X2,X0,X4)
| ~ inertia(X2,X3,X4)
| ~ inertia(sK0,X1,sK3)
| greater(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
fof(f148,plain,
( ! [X2,X0,X1] :
( ~ organization(sK0,sK4)
| ~ class(sK0,X0,sK4)
| ~ class(sK0,X0,sK3)
| ~ greater(sK1,sK2)
| ~ inertia(sK0,X1,sK4)
| ~ inertia(sK0,X2,sK3)
| greater(X2,X1) )
| ~ spl7_7
| ~ spl7_20 ),
inference(resolution,[],[f145,f83]) ).
fof(f83,plain,
( complexity(sK0,sK2,sK4)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f145,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ complexity(X2,X0,X4)
| ~ organization(X2,X4)
| ~ class(X2,X5,X4)
| ~ class(sK0,X5,sK3)
| ~ greater(sK1,X0)
| ~ inertia(X2,X3,X4)
| ~ inertia(sK0,X1,sK3)
| greater(X1,X3) )
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f161,plain,
( ~ spl7_1
| spl7_22
| ~ spl7_10
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f142,f139,f96,f159,f51]) ).
fof(f139,plain,
( spl7_19
<=> ! [X0,X1] :
( ~ inertia(sK0,X0,sK4)
| greater(X0,X1)
| ~ inertia(sK0,X1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
fof(f142,plain,
( ! [X0] :
( greater(X0,sK5(sK0,sK3))
| ~ inertia(sK0,X0,sK4)
| ~ organization(sK0,sK3) )
| ~ spl7_10
| ~ spl7_19 ),
inference(resolution,[],[f140,f97]) ).
fof(f140,plain,
( ! [X0,X1] :
( ~ inertia(sK0,X1,sK3)
| greater(X0,X1)
| ~ inertia(sK0,X0,sK4) )
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f153,plain,
( ~ spl7_2
| spl7_21
| ~ spl7_7
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f123,f119,f81,f151,f56]) ).
fof(f151,plain,
( spl7_21
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ greater(sK2,X0)
| ~ organization(X2,X4)
| ~ class(X2,X5,X4)
| ~ class(sK0,X5,sK4)
| ~ complexity(X2,X0,X4)
| ~ inertia(X2,X3,X4)
| ~ inertia(sK0,X1,sK4)
| greater(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f119,plain,
( spl7_15
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ complexity(X1,X4,X8)
| ~ complexity(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f123,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ greater(sK2,X0)
| ~ inertia(sK0,X1,sK4)
| ~ inertia(X2,X3,X4)
| greater(X1,X3)
| ~ complexity(X2,X0,X4)
| ~ class(sK0,X5,sK4)
| ~ class(X2,X5,X4)
| ~ organization(sK0,sK4)
| ~ organization(X2,X4) )
| ~ spl7_7
| ~ spl7_15 ),
inference(resolution,[],[f120,f83]) ).
fof(f120,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ complexity(X1,X4,X8)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| greater(X6,X5)
| ~ complexity(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) )
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f146,plain,
( ~ spl7_1
| spl7_20
| ~ spl7_6
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f122,f119,f76,f144,f51]) ).
fof(f76,plain,
( spl7_6
<=> complexity(sK0,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f122,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ greater(sK1,X0)
| ~ inertia(sK0,X1,sK3)
| ~ inertia(X2,X3,X4)
| greater(X1,X3)
| ~ complexity(X2,X0,X4)
| ~ class(sK0,X5,sK3)
| ~ class(X2,X5,X4)
| ~ organization(sK0,sK3)
| ~ organization(X2,X4) )
| ~ spl7_6
| ~ spl7_15 ),
inference(resolution,[],[f120,f78]) ).
fof(f78,plain,
( complexity(sK0,sK1,sK3)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f141,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_19
| ~ spl7_3
| ~ spl7_5
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f117,f114,f71,f61,f139,f56,f51]) ).
fof(f61,plain,
( spl7_3
<=> greater(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f71,plain,
( spl7_5
<=> reorganization_free(sK0,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f114,plain,
( spl7_14
<=> ! [X4,X0,X3,X2,X1] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f117,plain,
( ! [X0,X1] :
( ~ greater(sK4,sK3)
| ~ inertia(sK0,X0,sK4)
| ~ inertia(sK0,X1,sK3)
| greater(X0,X1)
| ~ organization(sK0,sK4)
| ~ organization(sK0,sK3) )
| ~ spl7_5
| ~ spl7_14 ),
inference(resolution,[],[f115,f73]) ).
fof(f73,plain,
( reorganization_free(sK0,sK3,sK4)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f115,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ reorganization_free(X0,X3,X4)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| greater(X2,X1)
| ~ organization(X0,X4)
| ~ organization(X0,X3) )
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f137,plain,
( ~ spl7_1
| spl7_18
| ~ spl7_11
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f133,f130,f100,f135,f51]) ).
fof(f130,plain,
( spl7_17
<=> ! [X0,X1] :
( ~ class(sK0,X0,sK4)
| X0 = X1
| ~ class(sK0,X1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
fof(f133,plain,
( ! [X0] :
( sK6(sK0,sK3) = X0
| ~ class(sK0,X0,sK4)
| ~ organization(sK0,sK3) )
| ~ spl7_11
| ~ spl7_17 ),
inference(resolution,[],[f131,f101]) ).
fof(f131,plain,
( ! [X0,X1] :
( ~ class(sK0,X1,sK3)
| X0 = X1
| ~ class(sK0,X0,sK4) )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_17
| ~ spl7_5
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f112,f104,f71,f130,f56,f51]) ).
fof(f104,plain,
( spl7_12
<=> ! [X4,X0,X3,X2,X1] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
fof(f112,plain,
( ! [X0,X1] :
( ~ class(sK0,X0,sK4)
| ~ class(sK0,X1,sK3)
| X0 = X1
| ~ organization(sK0,sK4)
| ~ organization(sK0,sK3) )
| ~ spl7_5
| ~ spl7_12 ),
inference(resolution,[],[f105,f73]) ).
fof(f105,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X2)
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| X3 = X4
| ~ organization(X0,X2)
| ~ organization(X0,X1) )
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f128,plain,
( ~ spl7_16
| ~ spl7_4
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f94,f90,f66,f125]) ).
fof(f125,plain,
( spl7_16
<=> greater(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f94,plain,
( ~ greater(sK2,sK1)
| ~ spl7_4
| ~ spl7_9 ),
inference(resolution,[],[f91,f68]) ).
fof(f68,plain,
( greater(sK1,sK2)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f121,plain,
spl7_15,
inference(avatar_split_clause,[],[f43,f119]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ complexity(X1,X4,X8)
| ~ complexity(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ complexity(X1,X4,X8)
| ~ complexity(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ complexity(X1,X4,X8)
| ~ complexity(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X4,X3)
& inertia(X1,X6,X8)
& inertia(X0,X5,X7)
& complexity(X1,X4,X8)
& complexity(X0,X3,X7)
& class(X1,X2,X8)
& class(X0,X2,X7)
& organization(X1,X8)
& organization(X0,X7) )
=> greater(X6,X5) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X3,X4,X7,X8,X9,X10,X5,X6] :
( ( greater(X8,X7)
& inertia(X3,X10,X6)
& inertia(X0,X9,X5)
& complexity(X3,X8,X6)
& complexity(X0,X7,X5)
& class(X3,X4,X6)
& class(X0,X4,X5)
& organization(X3,X6)
& organization(X0,X5) )
=> greater(X10,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_FOL) ).
fof(f116,plain,
spl7_14,
inference(avatar_split_clause,[],[f42,f114]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& inertia(X0,X2,X4)
& inertia(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> greater(X2,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X9,X10,X5,X6] :
( ( greater(X6,X5)
& inertia(X0,X10,X6)
& inertia(X0,X9,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> greater(X10,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL) ).
fof(f111,plain,
( ~ spl7_13
| ~ spl7_3
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f93,f90,f61,f108]) ).
fof(f108,plain,
( spl7_13
<=> greater(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f93,plain,
( ~ greater(sK3,sK4)
| ~ spl7_3
| ~ spl7_9 ),
inference(resolution,[],[f91,f63]) ).
fof(f63,plain,
( greater(sK4,sK3)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f106,plain,
spl7_12,
inference(avatar_split_clause,[],[f48,f104]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ( class(X0,X4,X2)
& class(X0,X3,X1)
& reorganization_free(X0,X1,X2)
& organization(X0,X2)
& organization(X0,X1) )
=> X3 = X4 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X5,X6,X7,X8] :
( ( class(X0,X8,X6)
& class(X0,X7,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> X7 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp10) ).
fof(f102,plain,
spl7_11,
inference(avatar_split_clause,[],[f45,f100]) ).
fof(f45,plain,
! [X0,X1] :
( class(X0,sK6(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( class(X0,sK6(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f24,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] : class(X0,X2,X1)
=> class(X0,sK6(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] : class(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : class(X0,X2,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X4] : class(X0,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp9) ).
fof(f98,plain,
spl7_10,
inference(avatar_split_clause,[],[f44,f96]) ).
fof(f44,plain,
! [X0,X1] :
( inertia(X0,sK5(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( inertia(X0,sK5(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f23,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
=> inertia(X0,sK5(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : inertia(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).
fof(f92,plain,
spl7_9,
inference(avatar_split_clause,[],[f47,f90]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X3] :
~ ( greater(X3,X0)
& greater(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2) ).
fof(f88,plain,
spl7_8,
inference(avatar_split_clause,[],[f49,f86]) ).
fof(f49,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
~ ( X0 = X1
& greater(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X3] :
~ ( X0 = X3
& greater(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1) ).
fof(f84,plain,
spl7_7,
inference(avatar_split_clause,[],[f39,f81]) ).
fof(f39,plain,
complexity(sK0,sK2,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( greater(sK1,sK2)
& greater(sK4,sK3)
& complexity(sK0,sK2,sK4)
& complexity(sK0,sK1,sK3)
& reorganization_free(sK0,sK3,sK4)
& organization(sK0,sK4)
& organization(sK0,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f18,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2,X3,X4] :
( greater(X1,X2)
& greater(X4,X3)
& complexity(X0,X2,X4)
& complexity(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> ( greater(sK1,sK2)
& greater(sK4,sK3)
& complexity(sK0,sK2,sK4)
& complexity(sK0,sK1,sK3)
& reorganization_free(sK0,sK3,sK4)
& organization(sK0,sK4)
& organization(sK0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3,X4] :
( greater(X1,X2)
& greater(X4,X3)
& complexity(X0,X2,X4)
& complexity(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3,X4] :
( greater(X1,X2)
& greater(X4,X3)
& complexity(X0,X2,X4)
& complexity(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& complexity(X0,X2,X4)
& complexity(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> ~ greater(X1,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X7,X8,X5,X6] :
( ( greater(X6,X5)
& complexity(X0,X8,X6)
& complexity(X0,X7,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> ~ greater(X7,X8) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X7,X8,X5,X6] :
( ( greater(X6,X5)
& complexity(X0,X8,X6)
& complexity(X0,X7,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5) )
=> ~ greater(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL) ).
fof(f79,plain,
spl7_6,
inference(avatar_split_clause,[],[f38,f76]) ).
fof(f38,plain,
complexity(sK0,sK1,sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f74,plain,
spl7_5,
inference(avatar_split_clause,[],[f37,f71]) ).
fof(f37,plain,
reorganization_free(sK0,sK3,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f69,plain,
spl7_4,
inference(avatar_split_clause,[],[f41,f66]) ).
fof(f41,plain,
greater(sK1,sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f64,plain,
spl7_3,
inference(avatar_split_clause,[],[f40,f61]) ).
fof(f40,plain,
greater(sK4,sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
spl7_2,
inference(avatar_split_clause,[],[f36,f56]) ).
fof(f36,plain,
organization(sK0,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
spl7_1,
inference(avatar_split_clause,[],[f35,f51]) ).
fof(f35,plain,
organization(sK0,sK3),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT012+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:04:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (5455)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (5456)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 % (5458)WARNING: value z3 for option sas not known
% 0.22/0.38 % (5460)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (5458)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (5459)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (5462)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % (5457)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (5461)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 TRYING [5]
% 0.22/0.39 % (5460)First to succeed.
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (5458)Also succeeded, but the first one will report.
% 0.22/0.39 % (5460)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5455"
% 0.22/0.39 % (5460)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (5460)------------------------------
% 0.22/0.40 % (5460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (5460)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (5460)Memory used [KB]: 899
% 0.22/0.40 % (5460)Time elapsed: 0.010 s
% 0.22/0.40 % (5460)Instructions burned: 10 (million)
% 0.22/0.40 % (5455)Success in time 0.034 s
%------------------------------------------------------------------------------