TSTP Solution File: SWV030+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 18:43:55 EDT 2022
% Result : Theorem 0.14s 0.49s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 84 ( 17 unt; 0 def)
% Number of atoms : 500 ( 64 equ)
% Maximal formula atoms : 34 ( 5 avg)
% Number of connectives : 631 ( 215 ~; 205 |; 170 &)
% ( 17 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 51 ( 33 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f425,plain,
$false,
inference(avatar_sat_refutation,[],[f287,f288,f293,f294,f295,f300,f305,f310,f311,f312,f317,f322,f323,f328,f329,f330,f421,f424]) ).
fof(f424,plain,
( spl4_13
| ~ spl4_5
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f423,f290,f264,f302]) ).
fof(f302,plain,
( spl4_13
<=> init = a_select2(s_values7_init,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f264,plain,
( spl4_5
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f290,plain,
( spl4_11
<=> leq(sK3,minus(pv1376,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f423,plain,
( init = a_select2(s_values7_init,sK3)
| ~ spl4_5
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f422,f266]) ).
fof(f266,plain,
( leq(n0,sK3)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f422,plain,
( ~ leq(n0,sK3)
| init = a_select2(s_values7_init,sK3)
| ~ spl4_11 ),
inference(resolution,[],[f292,f170]) ).
fof(f170,plain,
! [X2] :
( ~ leq(X2,minus(pv1376,n1))
| init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& ! [X0] :
( ! [X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& leq(pv1376,n3)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(pv19,minus(n410,n1))
& leq(n0,pv1376)
& ! [X2] :
( ~ leq(X2,minus(pv1376,n1))
| init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2) )
& init = init
& ( ~ leq(n0,pv20)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ( leq(sK3,minus(pv1376,n1))
& init != a_select2(s_values7_init,sK3)
& leq(n0,sK3) )
| ~ leq(n0,pv1376)
| sP0
| ~ leq(pv7,minus(n410,n1))
| init != init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3) )
& leq(n0,pv20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f134,f142]) ).
fof(f142,plain,
( ? [X3] :
( leq(X3,minus(pv1376,n1))
& init != a_select2(s_values7_init,X3)
& leq(n0,X3) )
=> ( leq(sK3,minus(pv1376,n1))
& init != a_select2(s_values7_init,sK3)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& ! [X0] :
( ! [X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& leq(pv1376,n3)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(pv19,minus(n410,n1))
& leq(n0,pv1376)
& ! [X2] :
( ~ leq(X2,minus(pv1376,n1))
| init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2) )
& init = init
& ( ~ leq(n0,pv20)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ? [X3] :
( leq(X3,minus(pv1376,n1))
& init != a_select2(s_values7_init,X3)
& leq(n0,X3) )
| ~ leq(n0,pv1376)
| sP0
| ~ leq(pv7,minus(n410,n1))
| init != init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3) )
& leq(n0,pv20) ),
inference(definition_folding,[],[f127,f133]) ).
fof(f133,plain,
( ? [X4] :
( leq(n0,X4)
& ? [X5] :
( leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4)
& leq(X5,n3) )
& leq(X4,n2) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f127,plain,
( leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& ! [X0] :
( ! [X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& leq(pv1376,n3)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(pv19,minus(n410,n1))
& leq(n0,pv1376)
& ! [X2] :
( ~ leq(X2,minus(pv1376,n1))
| init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2) )
& init = init
& ( ~ leq(n0,pv20)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ? [X3] :
( leq(X3,minus(pv1376,n1))
& init != a_select2(s_values7_init,X3)
& leq(n0,X3) )
| ~ leq(n0,pv1376)
| ? [X4] :
( leq(n0,X4)
& ? [X5] :
( leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4)
& leq(X5,n3) )
& leq(X4,n2) )
| ~ leq(pv7,minus(n410,n1))
| init != init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3) )
& leq(n0,pv20) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
( ( ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(n0,X5)
& leq(X5,n3) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ? [X3] :
( init != a_select2(s_values7_init,X3)
& leq(n0,X3)
& leq(X3,minus(pv1376,n1)) )
| ~ leq(n0,pv7)
| ~ leq(n0,pv1376)
| init != init
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(pv19,minus(n410,n1)) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv1376,n1)) )
& ! [X0] :
( ! [X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(X1,n3)
| ~ leq(n0,X1) )
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& init = init
& leq(pv20,minus(n330,n1))
& leq(n0,pv19)
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv20)
& leq(n0,pv7)
& leq(n0,pv1376)
& leq(pv1376,n3) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( ! [X2] :
( ( leq(n0,X2)
& leq(X2,minus(pv1376,n1)) )
=> init = a_select2(s_values7_init,X2) )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> init = a_select3(simplex7_init,X1,X0) ) )
& init = init
& leq(pv20,minus(n330,n1))
& leq(n0,pv19)
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv20)
& leq(n0,pv7)
& leq(n0,pv1376)
& leq(pv1376,n3) )
=> ( ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n3) )
=> init = a_select3(simplex7_init,X5,X4) ) )
& leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,minus(pv1376,n1)) )
=> init = a_select2(s_values7_init,X3) )
& leq(n0,pv7)
& leq(n0,pv1376)
& init = init
& leq(n0,pv19)
& leq(n0,pv20)
& leq(pv19,minus(n410,n1)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& init = init
& leq(n0,pv19)
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n3) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv1376)
& leq(n0,pv7)
& ! [X3] :
( ( leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& leq(n0,pv20)
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1)) )
=> ( leq(pv7,minus(n410,n1))
& init = init
& leq(pv20,minus(n330,n1))
& leq(n0,pv7)
& leq(pv1376,n3)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& ! [X21] :
( ( leq(X21,minus(pv1376,n1))
& leq(n0,X21) )
=> init = a_select2(s_values7_init,X21) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n3) )
=> init = a_select3(simplex7_init,X20,X19) ) )
& leq(pv19,minus(n410,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& init = init
& leq(n0,pv19)
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n3) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv1376)
& leq(n0,pv7)
& ! [X3] :
( ( leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& leq(n0,pv20)
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1)) )
=> ( leq(pv7,minus(n410,n1))
& init = init
& leq(pv20,minus(n330,n1))
& leq(n0,pv7)
& leq(pv1376,n3)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& ! [X21] :
( ( leq(X21,minus(pv1376,n1))
& leq(n0,X21) )
=> init = a_select2(s_values7_init,X21) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n3) )
=> init = a_select3(simplex7_init,X20,X19) ) )
& leq(pv19,minus(n410,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0033) ).
fof(f292,plain,
( leq(sK3,minus(pv1376,n1))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f421,plain,
( ~ spl4_15
| spl4_12
| ~ spl4_14
| ~ spl4_16
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f418,f325,f319,f307,f297,f314]) ).
fof(f314,plain,
( spl4_15
<=> leq(sK2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f297,plain,
( spl4_12
<=> init = a_select3(simplex7_init,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f307,plain,
( spl4_14
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f319,plain,
( spl4_16
<=> leq(sK1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f325,plain,
( spl4_17
<=> leq(n0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f418,plain,
( ~ leq(sK2,n3)
| spl4_12
| ~ spl4_14
| ~ spl4_16
| ~ spl4_17 ),
inference(subsumption_resolution,[],[f417,f309]) ).
fof(f309,plain,
( leq(n0,sK1)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f417,plain,
( ~ leq(n0,sK1)
| ~ leq(sK2,n3)
| spl4_12
| ~ spl4_16
| ~ spl4_17 ),
inference(subsumption_resolution,[],[f416,f327]) ).
fof(f327,plain,
( leq(n0,sK2)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f416,plain,
( ~ leq(n0,sK2)
| ~ leq(sK2,n3)
| ~ leq(n0,sK1)
| spl4_12
| ~ spl4_16 ),
inference(subsumption_resolution,[],[f415,f321]) ).
fof(f321,plain,
( leq(sK1,n2)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f415,plain,
( ~ leq(sK1,n2)
| ~ leq(n0,sK1)
| ~ leq(sK2,n3)
| ~ leq(n0,sK2)
| spl4_12 ),
inference(trivial_inequality_removal,[],[f414]) ).
fof(f414,plain,
( ~ leq(sK2,n3)
| ~ leq(n0,sK1)
| init != init
| ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| spl4_12 ),
inference(superposition,[],[f299,f176]) ).
fof(f176,plain,
! [X0,X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(X1,n3)
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f299,plain,
( init != a_select3(simplex7_init,sK2,sK1)
| spl4_12 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f330,plain,
spl4_2,
inference(avatar_split_clause,[],[f177,f252]) ).
fof(f252,plain,
( spl4_2
<=> leq(pv20,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f177,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f143]) ).
fof(f329,plain,
spl4_10,
inference(avatar_split_clause,[],[f173,f284]) ).
fof(f284,plain,
( spl4_10
<=> leq(n0,pv7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f173,plain,
leq(n0,pv7),
inference(cnf_transformation,[],[f143]) ).
fof(f328,plain,
( spl4_17
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f163,f280,f325]) ).
fof(f280,plain,
( spl4_9
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f163,plain,
( ~ sP0
| leq(n0,sK2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( leq(n0,sK1)
& leq(n0,sK2)
& init != a_select3(simplex7_init,sK2,sK1)
& leq(sK2,n3)
& leq(sK1,n2) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f138,f140,f139]) ).
fof(f139,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3) )
& leq(X0,n2) )
=> ( leq(n0,sK1)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK1)
& leq(X1,n3) )
& leq(sK1,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK1)
& leq(X1,n3) )
=> ( leq(n0,sK2)
& init != a_select3(simplex7_init,sK2,sK1)
& leq(sK2,n3) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3) )
& leq(X0,n2) )
| ~ sP0 ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
( ? [X4] :
( leq(n0,X4)
& ? [X5] :
( leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4)
& leq(X5,n3) )
& leq(X4,n2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f133]) ).
fof(f323,plain,
spl4_6,
inference(avatar_split_clause,[],[f175,f268]) ).
fof(f268,plain,
( spl4_6
<=> leq(pv1376,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f175,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f143]) ).
fof(f322,plain,
( spl4_16
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f160,f280,f319]) ).
fof(f160,plain,
( ~ sP0
| leq(sK1,n2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f317,plain,
( spl4_15
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f161,f280,f314]) ).
fof(f161,plain,
( ~ sP0
| leq(sK2,n3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f312,plain,
spl4_1,
inference(avatar_split_clause,[],[f172,f248]) ).
fof(f248,plain,
( spl4_1
<=> leq(pv19,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f172,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f143]) ).
fof(f311,plain,
spl4_4,
inference(avatar_split_clause,[],[f171,f260]) ).
fof(f260,plain,
( spl4_4
<=> leq(n0,pv1376) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f171,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f143]) ).
fof(f310,plain,
( spl4_14
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f164,f280,f307]) ).
fof(f164,plain,
( ~ sP0
| leq(n0,sK1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f305,plain,
( ~ spl4_10
| ~ spl4_13
| ~ spl4_8
| spl4_9
| ~ spl4_4
| ~ spl4_2
| ~ spl4_3
| ~ spl4_1
| ~ spl4_7
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f244,f268,f272,f248,f256,f252,f260,f280,f276,f302,f284]) ).
fof(f276,plain,
( spl4_8
<=> leq(n0,pv20) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f256,plain,
( spl4_3
<=> leq(pv7,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f272,plain,
( spl4_7
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f244,plain,
( ~ leq(pv1376,n3)
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv1376)
| sP0
| ~ leq(n0,pv20)
| init != a_select2(s_values7_init,sK3)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f167]) ).
fof(f167,plain,
( ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| init != a_select2(s_values7_init,sK3)
| init != init
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| sP0
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(cnf_transformation,[],[f143]) ).
fof(f300,plain,
( ~ spl4_12
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f162,f280,f297]) ).
fof(f162,plain,
( ~ sP0
| init != a_select3(simplex7_init,sK2,sK1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f295,plain,
spl4_3,
inference(avatar_split_clause,[],[f178,f256]) ).
fof(f178,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f143]) ).
fof(f294,plain,
spl4_8,
inference(avatar_split_clause,[],[f165,f276]) ).
fof(f165,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f143]) ).
fof(f293,plain,
( ~ spl4_8
| ~ spl4_1
| ~ spl4_2
| ~ spl4_7
| spl4_9
| ~ spl4_3
| spl4_11
| ~ spl4_6
| ~ spl4_10
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f245,f260,f284,f268,f290,f256,f280,f272,f252,f248,f276]) ).
fof(f245,plain,
( ~ leq(n0,pv1376)
| ~ leq(n0,pv7)
| ~ leq(pv1376,n3)
| leq(sK3,minus(pv1376,n1))
| ~ leq(pv7,minus(n410,n1))
| sP0
| ~ leq(n0,pv19)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20) ),
inference(trivial_inequality_removal,[],[f168]) ).
fof(f168,plain,
( ~ leq(pv1376,n3)
| ~ leq(n0,pv7)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv19)
| init != init
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv20)
| leq(sK3,minus(pv1376,n1))
| ~ leq(pv19,minus(n410,n1)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f288,plain,
spl4_7,
inference(avatar_split_clause,[],[f174,f272]) ).
fof(f174,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f143]) ).
fof(f287,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| spl4_9
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f246,f284,f280,f276,f272,f268,f264,f260,f256,f252,f248]) ).
fof(f246,plain,
( ~ leq(n0,pv7)
| sP0
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(pv1376,n3)
| leq(n0,sK3)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1)) ),
inference(trivial_inequality_removal,[],[f166]) ).
fof(f166,plain,
( ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| sP0
| leq(n0,sK3)
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 18:53:11 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.46 % (24152)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.46 % (24160)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46 % (24151)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.47 % (24153)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.47 % (24159)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.47 % (24159)Instruction limit reached!
% 0.14/0.47 % (24159)------------------------------
% 0.14/0.47 % (24159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (24159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (24159)Termination reason: Unknown
% 0.14/0.47 % (24159)Termination phase: Preprocessing 3
% 0.14/0.47 % (24160)Instruction limit reached!
% 0.14/0.47 % (24160)------------------------------
% 0.14/0.47 % (24160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (24160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (24160)Termination reason: Unknown
% 0.14/0.47 % (24160)Termination phase: Function definition elimination
% 0.14/0.47
% 0.14/0.47 % (24160)Memory used [KB]: 1663
% 0.14/0.47 % (24160)Time elapsed: 0.006 s
% 0.14/0.47 % (24160)Instructions burned: 7 (million)
% 0.14/0.47 % (24160)------------------------------
% 0.14/0.47 % (24160)------------------------------
% 0.14/0.47
% 0.14/0.47 % (24159)Memory used [KB]: 1535
% 0.14/0.47 % (24159)Time elapsed: 0.005 s
% 0.14/0.47 % (24159)Instructions burned: 3 (million)
% 0.14/0.47 % (24159)------------------------------
% 0.14/0.47 % (24159)------------------------------
% 0.14/0.48 % (24168)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.14/0.48 % (24170)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.14/0.48 % (24151)First to succeed.
% 0.14/0.48 % (24169)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.49 % (24161)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.49 % (24151)Refutation found. Thanks to Tanya!
% 0.14/0.49 % SZS status Theorem for theBenchmark
% 0.14/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.49 % (24151)------------------------------
% 0.14/0.49 % (24151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (24151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (24151)Termination reason: Refutation
% 0.14/0.49
% 0.14/0.49 % (24151)Memory used [KB]: 6268
% 0.14/0.49 % (24151)Time elapsed: 0.123 s
% 0.14/0.49 % (24151)Instructions burned: 9 (million)
% 0.14/0.49 % (24151)------------------------------
% 0.14/0.49 % (24151)------------------------------
% 0.14/0.49 % (24144)Success in time 0.187 s
%------------------------------------------------------------------------------