TSTP Solution File: SWV030+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.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 : Thu Aug 31 23:07:14 EDT 2023
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 162 ( 22 unt; 0 def)
% Number of atoms : 1345 ( 115 equ)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 2129 ( 946 ~; 981 |; 162 &)
% ( 16 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 17 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 50 (; 36 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1337,plain,
$false,
inference(avatar_sat_refutation,[],[f481,f489,f497,f505,f513,f522,f527,f532,f537,f542,f550,f554,f558,f562,f566,f568,f570,f572,f574,f575,f576,f577,f578,f1312,f1334]) ).
fof(f1334,plain,
( spl34_7
| ~ spl34_15
| ~ spl34_16 ),
inference(avatar_contradiction_clause,[],[f1333]) ).
fof(f1333,plain,
( $false
| spl34_7
| ~ spl34_15
| ~ spl34_16 ),
inference(subsumption_resolution,[],[f1332,f549]) ).
fof(f549,plain,
( leq(n0,sK4)
| ~ spl34_16 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl34_16
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_16])]) ).
fof(f1332,plain,
( ~ leq(n0,sK4)
| spl34_7
| ~ spl34_15 ),
inference(subsumption_resolution,[],[f1237,f521]) ).
fof(f521,plain,
( leq(sK4,pred(pv1376))
| ~ spl34_15 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl34_15
<=> leq(sK4,pred(pv1376)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_15])]) ).
fof(f1237,plain,
( ~ leq(sK4,pred(pv1376))
| ~ leq(n0,sK4)
| spl34_7 ),
inference(trivial_inequality_removal,[],[f1235]) ).
fof(f1235,plain,
( init != init
| ~ leq(sK4,pred(pv1376))
| ~ leq(n0,sK4)
| spl34_7 ),
inference(superposition,[],[f468,f567]) ).
fof(f567,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,pred(pv1376))
| ~ leq(n0,X3) ),
inference(forward_demodulation,[],[f247,f314]) ).
fof(f314,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/tmp/tmp.lHaS0Iul9X/Vampire---4.8_25157',pred_minus_1) ).
fof(f247,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,minus(pv1376,n1))
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( ( init != a_select2(s_values7_init,sK4)
& leq(sK4,minus(pv1376,n1))
& leq(n0,sK4) )
| ( init != a_select3(simplex7_init,sK6,sK5)
& leq(sK6,n3)
& leq(n0,sK6)
& leq(sK5,n2)
& leq(n0,sK5) )
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,minus(pv1376,n1))
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f185,f188,f187,f186]) ).
fof(f186,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,minus(pv1376,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_values7_init,sK4)
& leq(sK4,minus(pv1376,n1))
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X1] :
( ? [X2] :
( init != a_select3(simplex7_init,X2,X1)
& leq(X2,n3)
& leq(n0,X2) )
& leq(X1,n2)
& leq(n0,X1) )
=> ( ? [X2] :
( init != a_select3(simplex7_init,X2,sK5)
& leq(X2,n3)
& leq(n0,X2) )
& leq(sK5,n2)
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
( ? [X2] :
( init != a_select3(simplex7_init,X2,sK5)
& leq(X2,n3)
& leq(n0,X2) )
=> ( init != a_select3(simplex7_init,sK6,sK5)
& leq(sK6,n3)
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,minus(pv1376,n1))
& leq(n0,X0) )
| ? [X1] :
( ? [X2] :
( init != a_select3(simplex7_init,X2,X1)
& leq(X2,n3)
& leq(n0,X2) )
& leq(X1,n2)
& leq(n0,X1) )
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,minus(pv1376,n1))
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
( ( ? [X3] :
( init != a_select2(s_values7_init,X3)
& leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
| ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init )
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,minus(pv1376,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
( ( ? [X3] :
( init != a_select2(s_values7_init,X3)
& leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
| ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init )
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,minus(pv1376,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( ! [X0] :
( ( leq(X0,minus(pv1376,n1))
& leq(n0,X0) )
=> init = a_select2(s_values7_init,X0) )
& ! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select3(simplex7_init,X2,X1) ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init )
=> ( ! [X3] :
( ( leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> init = a_select3(simplex7_init,X5,X4) ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3] :
( ( leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init )
=> ( ! [X21] :
( ( leq(X21,minus(pv1376,n1))
& leq(n0,X21) )
=> init = a_select2(s_values7_init,X21) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> ! [X20] :
( ( leq(X20,n3)
& leq(n0,X20) )
=> init = a_select3(simplex7_init,X20,X19) ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3] :
( ( leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init )
=> ( ! [X21] :
( ( leq(X21,minus(pv1376,n1))
& leq(n0,X21) )
=> init = a_select2(s_values7_init,X21) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> ! [X20] :
( ( leq(X20,n3)
& leq(n0,X20) )
=> init = a_select3(simplex7_init,X20,X19) ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& init = init ) ),
file('/export/starexec/sandbox2/tmp/tmp.lHaS0Iul9X/Vampire---4.8_25157',gauss_init_0033) ).
fof(f468,plain,
( init != a_select2(s_values7_init,sK4)
| spl34_7 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl34_7
<=> init = a_select2(s_values7_init,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_7])]) ).
fof(f1312,plain,
( ~ spl34_14
| ~ spl34_13
| spl34_6
| ~ spl34_11
| ~ spl34_12 ),
inference(avatar_split_clause,[],[f1311,f494,f486,f462,f502,f510]) ).
fof(f510,plain,
( spl34_14
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f502,plain,
( spl34_13
<=> leq(sK5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_13])]) ).
fof(f462,plain,
( spl34_6
<=> init = a_select3(simplex7_init,sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f486,plain,
( spl34_11
<=> leq(sK6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_11])]) ).
fof(f494,plain,
( spl34_12
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_12])]) ).
fof(f1311,plain,
( ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl34_6
| ~ spl34_11
| ~ spl34_12 ),
inference(subsumption_resolution,[],[f1310,f496]) ).
fof(f496,plain,
( leq(n0,sK6)
| ~ spl34_12 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f1310,plain,
( ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl34_6
| ~ spl34_11 ),
inference(subsumption_resolution,[],[f1262,f488]) ).
fof(f488,plain,
( leq(sK6,n3)
| ~ spl34_11 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f1262,plain,
( ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl34_6 ),
inference(trivial_inequality_removal,[],[f1248]) ).
fof(f1248,plain,
( init != init
| ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl34_6 ),
inference(superposition,[],[f464,f246]) ).
fof(f246,plain,
! [X4,X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f189]) ).
fof(f464,plain,
( init != a_select3(simplex7_init,sK6,sK5)
| spl34_6 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f578,plain,
spl34_1,
inference(avatar_split_clause,[],[f238,f442]) ).
fof(f442,plain,
( spl34_1
<=> leq(n0,pv7) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f238,plain,
leq(n0,pv7),
inference(cnf_transformation,[],[f189]) ).
fof(f577,plain,
spl34_2,
inference(avatar_split_clause,[],[f239,f446]) ).
fof(f446,plain,
( spl34_2
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_2])]) ).
fof(f239,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f189]) ).
fof(f576,plain,
spl34_3,
inference(avatar_split_clause,[],[f240,f450]) ).
fof(f450,plain,
( spl34_3
<=> leq(n0,pv20) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).
fof(f240,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f189]) ).
fof(f575,plain,
spl34_4,
inference(avatar_split_clause,[],[f241,f454]) ).
fof(f454,plain,
( spl34_4
<=> leq(n0,pv1376) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f241,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f189]) ).
fof(f574,plain,
spl34_10,
inference(avatar_split_clause,[],[f573,f478]) ).
fof(f478,plain,
( spl34_10
<=> leq(pv7,pred(n410)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_10])]) ).
fof(f573,plain,
leq(pv7,pred(n410)),
inference(forward_demodulation,[],[f242,f314]) ).
fof(f242,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f189]) ).
fof(f572,plain,
spl34_9,
inference(avatar_split_clause,[],[f571,f474]) ).
fof(f474,plain,
( spl34_9
<=> leq(pv19,pred(n410)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_9])]) ).
fof(f571,plain,
leq(pv19,pred(n410)),
inference(forward_demodulation,[],[f243,f314]) ).
fof(f243,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f189]) ).
fof(f570,plain,
spl34_8,
inference(avatar_split_clause,[],[f569,f470]) ).
fof(f470,plain,
( spl34_8
<=> leq(pv20,pred(n330)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_8])]) ).
fof(f569,plain,
leq(pv20,pred(n330)),
inference(forward_demodulation,[],[f244,f314]) ).
fof(f244,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f189]) ).
fof(f568,plain,
spl34_5,
inference(avatar_split_clause,[],[f245,f458]) ).
fof(f458,plain,
( spl34_5
<=> leq(pv1376,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f245,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f189]) ).
fof(f566,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_14
| spl34_16
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f565,f478,f474,f470,f547,f510,f458,f454,f450,f446,f442]) ).
fof(f565,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f564,f314]) ).
fof(f564,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f563,f314]) ).
fof(f563,plain,
( ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f423,f314]) ).
fof(f423,plain,
( leq(n0,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f248]) ).
fof(f248,plain,
( leq(n0,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f562,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_13
| spl34_16
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f561,f478,f474,f470,f547,f502,f458,f454,f450,f446,f442]) ).
fof(f561,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f560,f314]) ).
fof(f560,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f559,f314]) ).
fof(f559,plain,
( ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f424,f314]) ).
fof(f424,plain,
( leq(n0,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f249]) ).
fof(f249,plain,
( leq(n0,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f558,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_12
| spl34_16
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f557,f478,f474,f470,f547,f494,f458,f454,f450,f446,f442]) ).
fof(f557,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f556,f314]) ).
fof(f556,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f555,f314]) ).
fof(f555,plain,
( ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f425,f314]) ).
fof(f425,plain,
( leq(n0,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f250]) ).
fof(f250,plain,
( leq(n0,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f554,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_11
| spl34_16
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f553,f478,f474,f470,f547,f486,f458,f454,f450,f446,f442]) ).
fof(f553,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f552,f314]) ).
fof(f552,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f551,f314]) ).
fof(f551,plain,
( ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f426,f314]) ).
fof(f426,plain,
( leq(n0,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f251,plain,
( leq(n0,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f550,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| ~ spl34_6
| spl34_16
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f545,f478,f474,f470,f547,f462,f458,f454,f450,f446,f442]) ).
fof(f545,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f544,f314]) ).
fof(f544,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f543,f314]) ).
fof(f543,plain,
( ~ leq(pv20,pred(n330))
| leq(n0,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f427,f314]) ).
fof(f427,plain,
( leq(n0,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f252]) ).
fof(f252,plain,
( leq(n0,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f542,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_14
| spl34_15
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f541,f478,f474,f470,f519,f510,f458,f454,f450,f446,f442]) ).
fof(f541,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f540,f314]) ).
fof(f540,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f539,f314]) ).
fof(f539,plain,
( ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f538,f314]) ).
fof(f538,plain,
( leq(sK4,pred(pv1376))
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f428,f314]) ).
fof(f428,plain,
( leq(sK4,minus(pv1376,n1))
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f253]) ).
fof(f253,plain,
( leq(sK4,minus(pv1376,n1))
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f537,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_13
| spl34_15
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f536,f478,f474,f470,f519,f502,f458,f454,f450,f446,f442]) ).
fof(f536,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f535,f314]) ).
fof(f535,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f534,f314]) ).
fof(f534,plain,
( ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f533,f314]) ).
fof(f533,plain,
( leq(sK4,pred(pv1376))
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f429,f314]) ).
fof(f429,plain,
( leq(sK4,minus(pv1376,n1))
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( leq(sK4,minus(pv1376,n1))
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f532,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_12
| spl34_15
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f531,f478,f474,f470,f519,f494,f458,f454,f450,f446,f442]) ).
fof(f531,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f530,f314]) ).
fof(f530,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f529,f314]) ).
fof(f529,plain,
( ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f528,f314]) ).
fof(f528,plain,
( leq(sK4,pred(pv1376))
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f430,f314]) ).
fof(f430,plain,
( leq(sK4,minus(pv1376,n1))
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( leq(sK4,minus(pv1376,n1))
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f527,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_11
| spl34_15
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f526,f478,f474,f470,f519,f486,f458,f454,f450,f446,f442]) ).
fof(f526,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f525,f314]) ).
fof(f525,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f524,f314]) ).
fof(f524,plain,
( ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f523,f314]) ).
fof(f523,plain,
( leq(sK4,pred(pv1376))
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f431,f314]) ).
fof(f431,plain,
( leq(sK4,minus(pv1376,n1))
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f256]) ).
fof(f256,plain,
( leq(sK4,minus(pv1376,n1))
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f522,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| ~ spl34_6
| spl34_15
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f517,f478,f474,f470,f519,f462,f458,f454,f450,f446,f442]) ).
fof(f517,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f516,f314]) ).
fof(f516,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f515,f314]) ).
fof(f515,plain,
( ~ leq(pv20,pred(n330))
| leq(sK4,pred(pv1376))
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f514,f314]) ).
fof(f514,plain,
( leq(sK4,pred(pv1376))
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f432,f314]) ).
fof(f432,plain,
( leq(sK4,minus(pv1376,n1))
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f257]) ).
fof(f257,plain,
( leq(sK4,minus(pv1376,n1))
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f513,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_14
| ~ spl34_7
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f508,f478,f474,f470,f466,f510,f458,f454,f450,f446,f442]) ).
fof(f508,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f507,f314]) ).
fof(f507,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f506,f314]) ).
fof(f506,plain,
( ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f433,f314]) ).
fof(f433,plain,
( init != a_select2(s_values7_init,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f258]) ).
fof(f258,plain,
( init != a_select2(s_values7_init,sK4)
| leq(n0,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f505,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_13
| ~ spl34_7
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f500,f478,f474,f470,f466,f502,f458,f454,f450,f446,f442]) ).
fof(f500,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f499,f314]) ).
fof(f499,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f498,f314]) ).
fof(f498,plain,
( ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f434,f314]) ).
fof(f434,plain,
( init != a_select2(s_values7_init,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f259]) ).
fof(f259,plain,
( init != a_select2(s_values7_init,sK4)
| leq(sK5,n2)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f497,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_12
| ~ spl34_7
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f492,f478,f474,f470,f466,f494,f458,f454,f450,f446,f442]) ).
fof(f492,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f491,f314]) ).
fof(f491,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f490,f314]) ).
fof(f490,plain,
( ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f435,f314]) ).
fof(f435,plain,
( init != a_select2(s_values7_init,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f260]) ).
fof(f260,plain,
( init != a_select2(s_values7_init,sK4)
| leq(n0,sK6)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f489,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| spl34_11
| ~ spl34_7
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f484,f478,f474,f470,f466,f486,f458,f454,f450,f446,f442]) ).
fof(f484,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f483,f314]) ).
fof(f483,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f482,f314]) ).
fof(f482,plain,
( ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f436,f314]) ).
fof(f436,plain,
( init != a_select2(s_values7_init,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( init != a_select2(s_values7_init,sK4)
| leq(sK6,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
fof(f481,plain,
( ~ spl34_1
| ~ spl34_2
| ~ spl34_3
| ~ spl34_4
| ~ spl34_5
| ~ spl34_6
| ~ spl34_7
| ~ spl34_8
| ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f440,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442]) ).
fof(f440,plain,
( ~ leq(pv7,pred(n410))
| ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f439,f314]) ).
fof(f439,plain,
( ~ leq(pv19,pred(n410))
| ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f438,f314]) ).
fof(f438,plain,
( ~ leq(pv20,pred(n330))
| init != a_select2(s_values7_init,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(forward_demodulation,[],[f437,f314]) ).
fof(f437,plain,
( init != a_select2(s_values7_init,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7) ),
inference(trivial_inequality_removal,[],[f262]) ).
fof(f262,plain,
( init != a_select2(s_values7_init,sK4)
| init != a_select3(simplex7_init,sK6,sK5)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| init != init ),
inference(cnf_transformation,[],[f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 05:36:58 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.lHaS0Iul9X/Vampire---4.8_25157
% 0.15/0.37 % (25275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (25282)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.43 % (25281)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.21/0.43 % (25284)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 % (25286)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.21/0.43 % (25280)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.43 % (25287)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.43 % (25279)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.21/0.45 % (25287)First to succeed.
% 0.21/0.46 % (25287)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (25287)------------------------------
% 0.21/0.46 % (25287)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (25287)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (25287)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (25287)Memory used [KB]: 6396
% 0.21/0.46 % (25287)Time elapsed: 0.027 s
% 0.21/0.46 % (25287)------------------------------
% 0.21/0.46 % (25287)------------------------------
% 0.21/0.46 % (25275)Success in time 0.091 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------