TSTP Solution File: SWV031+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV031+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 : 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 : Wed Aug 31 18:43:55 EDT 2022
% Result : Theorem 1.57s 0.55s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 95 ( 11 unt; 0 def)
% Number of atoms : 462 ( 80 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 560 ( 193 ~; 184 |; 142 &)
% ( 15 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-3 aty)
% Number of variables : 112 ( 93 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f498,plain,
$false,
inference(avatar_sat_refutation,[],[f370,f371,f372,f377,f382,f419,f438,f443,f447,f452,f466,f470,f474,f478,f483]) ).
fof(f483,plain,
( ~ spl6_7
| ~ spl6_6
| spl6_8 ),
inference(avatar_split_clause,[],[f479,f379,f367,f374]) ).
fof(f374,plain,
( spl6_7
<=> leq(sK3,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f367,plain,
( spl6_6
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f379,plain,
( spl6_8
<=> sQ5_eqProxy(init,a_select2(s_values7_init,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f479,plain,
( ~ leq(n0,sK3)
| ~ leq(sK3,n3)
| spl6_8 ),
inference(resolution,[],[f381,f311]) ).
fof(f311,plain,
! [X3] :
( sQ5_eqProxy(init,a_select2(s_values7_init,X3))
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(equality_proxy_replacement,[],[f187,f304]) ).
fof(f304,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f187,plain,
! [X3] :
( ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( init = init
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| init = a_select3(simplex7_init,X1,X0) ) )
& leq(n0,pv10)
& ( ~ leq(n0,pv9)
| init != init
| ~ leq(pv9,minus(n410,n1))
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| ( init != a_select2(s_values7_init,sK3)
& leq(sK3,n3)
& leq(n0,sK3) )
| sP0 )
& ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& leq(pv10,minus(n330,n1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f156,f157]) ).
fof(f157,plain,
( ? [X2] :
( init != a_select2(s_values7_init,X2)
& leq(X2,n3)
& leq(n0,X2) )
=> ( init != a_select2(s_values7_init,sK3)
& leq(sK3,n3)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( init = init
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| init = a_select3(simplex7_init,X1,X0) ) )
& leq(n0,pv10)
& ( ~ leq(n0,pv9)
| init != init
| ~ leq(pv9,minus(n410,n1))
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| ? [X2] :
( init != a_select2(s_values7_init,X2)
& leq(X2,n3)
& leq(n0,X2) )
| sP0 )
& ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& leq(pv10,minus(n330,n1)) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
( init = init
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ) )
& leq(n0,pv10)
& ( ~ leq(n0,pv9)
| init != init
| ~ leq(pv9,minus(n410,n1))
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| ? [X3] :
( init != a_select2(s_values7_init,X3)
& leq(X3,n3)
& leq(n0,X3) )
| sP0 )
& ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& leq(pv10,minus(n330,n1)) ),
inference(definition_folding,[],[f143,f149]) ).
fof(f149,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(f143,plain,
( init = init
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ) )
& leq(n0,pv10)
& ( ~ leq(n0,pv9)
| init != init
| ~ leq(pv9,minus(n410,n1))
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| ? [X3] :
( init != a_select2(s_values7_init,X3)
& leq(X3,n3)
& leq(n0,X3) )
| ? [X4] :
( leq(n0,X4)
& ? [X5] :
( leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4)
& leq(X5,n3) )
& leq(X4,n2) ) )
& ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3) )
& leq(pv9,minus(n410,n1))
& leq(n0,pv9)
& leq(pv10,minus(n330,n1)) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
( ( ~ leq(n0,pv9)
| init != init
| ? [X3] :
( init != a_select2(s_values7_init,X3)
& leq(X3,n3)
& leq(n0,X3) )
| ~ leq(pv9,minus(n410,n1))
| ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) )
& leq(pv10,minus(n330,n1))
& leq(n0,pv10)
& leq(pv9,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& leq(n0,pv9)
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& init = init ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( leq(pv10,minus(n330,n1))
& leq(n0,pv10)
& leq(pv9,minus(n410,n1))
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n3) )
=> init = a_select3(simplex7_init,X2,X1) ) )
& leq(n0,pv9)
& ! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> init = a_select2(s_values7_init,X0) )
& init = init )
=> ( leq(n0,pv9)
& init = init
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& leq(pv9,minus(n410,n1))
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> init = a_select3(simplex7_init,X5,X4) ) )
& init = a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n3) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv9)
& leq(n0,pv10)
& init = init )
=> ( ! [X21] :
( ( leq(X21,n3)
& 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) ) )
& init = init
& init = a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
& leq(n0,pv9)
& leq(pv9,minus(n410,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& leq(pv10,minus(n330,n1))
& leq(pv9,minus(n410,n1))
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n3) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv9)
& leq(n0,pv10)
& init = init )
=> ( ! [X21] :
( ( leq(X21,n3)
& 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) ) )
& init = init
& init = a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
& leq(n0,pv9)
& leq(pv9,minus(n410,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0037) ).
fof(f381,plain,
( ~ sQ5_eqProxy(init,a_select2(s_values7_init,sK3))
| spl6_8 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f478,plain,
( ~ spl6_1
| spl6_13 ),
inference(avatar_split_clause,[],[f475,f408,f347]) ).
fof(f347,plain,
( spl6_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f408,plain,
( spl6_13
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f475,plain,
( ~ sP0
| spl6_13 ),
inference(resolution,[],[f410,f183]) ).
fof(f183,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,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])],[f152,f154,f153]) ).
fof(f153,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(f154,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(f152,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,[],[f151]) ).
fof(f151,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,[],[f149]) ).
fof(f410,plain,
( ~ leq(n0,sK1)
| spl6_13 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f474,plain,
( ~ spl6_1
| spl6_14 ),
inference(avatar_split_clause,[],[f471,f412,f347]) ).
fof(f412,plain,
( spl6_14
<=> leq(sK2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f471,plain,
( ~ sP0
| spl6_14 ),
inference(resolution,[],[f414,f180]) ).
fof(f180,plain,
( leq(sK2,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f414,plain,
( ~ leq(sK2,n3)
| spl6_14 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f470,plain,
( ~ spl6_1
| spl6_12 ),
inference(avatar_split_clause,[],[f467,f404,f347]) ).
fof(f404,plain,
( spl6_12
<=> leq(n0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f467,plain,
( ~ sP0
| spl6_12 ),
inference(resolution,[],[f406,f182]) ).
fof(f182,plain,
( leq(n0,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f406,plain,
( ~ leq(n0,sK2)
| spl6_12 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f466,plain,
( ~ spl6_1
| spl6_15 ),
inference(avatar_split_clause,[],[f463,f416,f347]) ).
fof(f416,plain,
( spl6_15
<=> leq(sK1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f463,plain,
( ~ sP0
| spl6_15 ),
inference(resolution,[],[f418,f179]) ).
fof(f179,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f418,plain,
( ~ leq(sK1,n2)
| spl6_15 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f452,plain,
spl6_4,
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| spl6_4 ),
inference(resolution,[],[f361,f344]) ).
fof(f344,plain,
! [X0] : sQ5_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f304]) ).
fof(f361,plain,
( ~ sQ5_eqProxy(init,init)
| spl6_4 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl6_4
<=> sQ5_eqProxy(init,init) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f447,plain,
spl6_17,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f444,plain,
( $false
| spl6_17 ),
inference(resolution,[],[f433,f191]) ).
fof(f191,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f158]) ).
fof(f433,plain,
( ~ leq(n0,pv10)
| spl6_17 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl6_17
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f443,plain,
spl6_18,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| spl6_18 ),
inference(resolution,[],[f437,f184]) ).
fof(f184,plain,
leq(pv10,minus(n330,n1)),
inference(cnf_transformation,[],[f158]) ).
fof(f437,plain,
( ~ leq(pv10,minus(n330,n1))
| spl6_18 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl6_18
<=> leq(pv10,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f438,plain,
( ~ spl6_5
| ~ spl6_17
| ~ spl6_3
| ~ spl6_18
| spl6_2 ),
inference(avatar_split_clause,[],[f420,f351,f435,f355,f431,f363]) ).
fof(f363,plain,
( spl6_5
<=> leq(n0,pv9) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f355,plain,
( spl6_3
<=> leq(pv9,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f351,plain,
( spl6_2
<=> sQ5_eqProxy(init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f420,plain,
( ~ leq(pv10,minus(n330,n1))
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,pv9)
| spl6_2 ),
inference(resolution,[],[f387,f326]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sQ5_eqProxy(a_select3(tptp_const_array2(dim(X2,X0),dim(X1,X3),X5),X6,X4),X5)
| ~ leq(X4,X3)
| ~ leq(X2,X6)
| ~ leq(X1,X4)
| ~ leq(X6,X0) ),
inference(equality_proxy_replacement,[],[f222,f304]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ leq(X6,X0)
| ~ leq(X2,X6)
| ~ leq(X4,X3)
| a_select3(tptp_const_array2(dim(X2,X0),dim(X1,X3),X5),X6,X4) = X5
| ~ leq(X1,X4) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ leq(X6,X0)
| ~ leq(X2,X6)
| ~ leq(X4,X3)
| a_select3(tptp_const_array2(dim(X2,X0),dim(X1,X3),X5),X6,X4) = X5
| ~ leq(X1,X4) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X6,X3,X5,X2,X1,X0,X4] :
( ~ leq(X4,X6)
| ~ leq(X5,X4)
| ~ leq(X1,X2)
| a_select3(tptp_const_array2(dim(X5,X6),dim(X3,X2),X0),X4,X1) = X0
| ~ leq(X3,X1) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X2,X5,X0,X1,X3,X6,X4] :
( a_select3(tptp_const_array2(dim(X5,X6),dim(X3,X2),X0),X4,X1) = X0
| ~ leq(X3,X1)
| ~ leq(X4,X6)
| ~ leq(X1,X2)
| ~ leq(X5,X4) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X2,X5,X0,X1,X3,X6,X4] :
( ( leq(X3,X1)
& leq(X4,X6)
& leq(X1,X2)
& leq(X5,X4) )
=> a_select3(tptp_const_array2(dim(X5,X6),dim(X3,X2),X0),X4,X1) = X0 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X7,X10,X12,X11,X4,X8,X9] :
( ( leq(X8,X4)
& leq(X11,X10)
& leq(X4,X9)
& leq(X10,X12) )
=> a_select3(tptp_const_array2(dim(X8,X9),dim(X11,X12),X7),X4,X10) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array2_select) ).
fof(f387,plain,
( ~ sQ5_eqProxy(a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10),init)
| spl6_2 ),
inference(resolution,[],[f353,f345]) ).
fof(f345,plain,
! [X0,X1] :
( sQ5_eqProxy(X1,X0)
| ~ sQ5_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f304]) ).
fof(f353,plain,
( ~ sQ5_eqProxy(init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| spl6_2 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f419,plain,
( ~ spl6_12
| ~ spl6_13
| ~ spl6_14
| ~ spl6_1
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f402,f416,f347,f412,f408,f404]) ).
fof(f402,plain,
( ~ leq(sK1,n2)
| ~ sP0
| ~ leq(sK2,n3)
| ~ leq(n0,sK1)
| ~ leq(n0,sK2) ),
inference(resolution,[],[f307,f305]) ).
fof(f305,plain,
( ~ sQ5_eqProxy(init,a_select3(simplex7_init,sK2,sK1))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f181,f304]) ).
fof(f181,plain,
( init != a_select3(simplex7_init,sK2,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f307,plain,
! [X0,X1] :
( sQ5_eqProxy(init,a_select3(simplex7_init,X1,X0))
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(equality_proxy_replacement,[],[f192,f304]) ).
fof(f192,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| init = a_select3(simplex7_init,X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f382,plain,
( ~ spl6_3
| ~ spl6_5
| ~ spl6_8
| ~ spl6_2
| spl6_1
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f308,f359,f347,f351,f379,f363,f355]) ).
fof(f308,plain,
( ~ sQ5_eqProxy(init,init)
| sP0
| ~ sQ5_eqProxy(init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| ~ sQ5_eqProxy(init,a_select2(s_values7_init,sK3))
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(equality_proxy_replacement,[],[f190,f304,f304,f304]) ).
fof(f190,plain,
( ~ leq(n0,pv9)
| init != init
| ~ leq(pv9,minus(n410,n1))
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| init != a_select2(s_values7_init,sK3)
| sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f377,plain,
( ~ spl6_5
| ~ spl6_3
| spl6_7
| ~ spl6_2
| spl6_1
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f309,f359,f347,f351,f374,f355,f363]) ).
fof(f309,plain,
( ~ sQ5_eqProxy(init,init)
| sP0
| ~ sQ5_eqProxy(init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| leq(sK3,n3)
| ~ leq(pv9,minus(n410,n1))
| ~ leq(n0,pv9) ),
inference(equality_proxy_replacement,[],[f189,f304,f304]) ).
fof(f189,plain,
( ~ leq(n0,pv9)
| init != init
| ~ leq(pv9,minus(n410,n1))
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| leq(sK3,n3)
| sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f372,plain,
spl6_3,
inference(avatar_split_clause,[],[f186,f355]) ).
fof(f186,plain,
leq(pv9,minus(n410,n1)),
inference(cnf_transformation,[],[f158]) ).
fof(f371,plain,
spl6_5,
inference(avatar_split_clause,[],[f185,f363]) ).
fof(f185,plain,
leq(n0,pv9),
inference(cnf_transformation,[],[f158]) ).
fof(f370,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f310,f367,f363,f359,f355,f351,f347]) ).
fof(f310,plain,
( leq(n0,sK3)
| ~ leq(n0,pv9)
| ~ sQ5_eqProxy(init,init)
| ~ leq(pv9,minus(n410,n1))
| ~ sQ5_eqProxy(init,a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10))
| sP0 ),
inference(equality_proxy_replacement,[],[f188,f304,f304]) ).
fof(f188,plain,
( ~ leq(n0,pv9)
| init != init
| ~ leq(pv9,minus(n410,n1))
| init != a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10)
| leq(n0,sK3)
| sP0 ),
inference(cnf_transformation,[],[f158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV031+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 18:59:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.48 % (10939)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.49 % (10943)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)
% 0.20/0.49 % (10956)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (10951)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)
% 0.20/0.50 % (10949)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)
% 0.20/0.50 % (10941)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)
% 0.20/0.50 % (10939)Instruction limit reached!
% 0.20/0.50 % (10939)------------------------------
% 0.20/0.50 % (10939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (10958)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)
% 0.20/0.51 % (10938)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (10963)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51 % (10948)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (10949)Instruction limit reached!
% 0.20/0.52 % (10949)------------------------------
% 0.20/0.52 % (10949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10949)Termination reason: Unknown
% 0.20/0.52 % (10949)Termination phase: Naming
% 0.20/0.52
% 0.20/0.52 % (10949)Memory used [KB]: 1535
% 0.20/0.52 % (10949)Time elapsed: 0.004 s
% 0.20/0.52 % (10949)Instructions burned: 3 (million)
% 0.20/0.52 % (10949)------------------------------
% 0.20/0.52 % (10949)------------------------------
% 0.20/0.52 % (10939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10939)Termination reason: Unknown
% 0.20/0.52 % (10939)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (10939)Memory used [KB]: 6268
% 0.20/0.52 % (10939)Time elapsed: 0.110 s
% 0.20/0.52 % (10939)Instructions burned: 14 (million)
% 0.20/0.52 % (10939)------------------------------
% 0.20/0.52 % (10939)------------------------------
% 0.20/0.52 % (10962)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (10961)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (10960)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)
% 0.20/0.52 % (10955)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.52 % (10937)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (10936)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (10937)Instruction limit reached!
% 0.20/0.52 % (10937)------------------------------
% 0.20/0.52 % (10937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10937)Termination reason: Unknown
% 0.20/0.52 % (10937)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (10937)Memory used [KB]: 1663
% 0.20/0.52 % (10937)Time elapsed: 0.004 s
% 0.20/0.52 % (10937)Instructions burned: 5 (million)
% 0.20/0.52 % (10937)------------------------------
% 0.20/0.52 % (10937)------------------------------
% 0.20/0.52 % (10954)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53 % (10953)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (10936)Instruction limit reached!
% 0.20/0.53 % (10936)------------------------------
% 0.20/0.53 % (10936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10936)Termination reason: Unknown
% 0.20/0.53 % (10936)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (10936)Memory used [KB]: 1791
% 0.20/0.53 % (10936)Time elapsed: 0.006 s
% 0.20/0.53 % (10936)Instructions burned: 13 (million)
% 0.20/0.53 % (10936)------------------------------
% 0.20/0.53 % (10936)------------------------------
% 0.20/0.53 % (10947)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53 % (10953)Instruction limit reached!
% 0.20/0.53 % (10953)------------------------------
% 0.20/0.53 % (10953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10953)Termination reason: Unknown
% 0.20/0.53 % (10953)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (10953)Memory used [KB]: 1535
% 0.20/0.53 % (10953)Time elapsed: 0.003 s
% 0.20/0.53 % (10953)Instructions burned: 3 (million)
% 0.20/0.53 % (10953)------------------------------
% 0.20/0.53 % (10953)------------------------------
% 0.20/0.53 % (10954)First to succeed.
% 0.20/0.53 % (10945)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (10952)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (10952)Instruction limit reached!
% 0.20/0.53 % (10952)------------------------------
% 0.20/0.53 % (10952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10952)Termination reason: Unknown
% 0.20/0.53 % (10952)Termination phase: Naming
% 0.20/0.53
% 0.20/0.53 % (10952)Memory used [KB]: 1535
% 0.20/0.53 % (10952)Time elapsed: 0.003 s
% 0.20/0.53 % (10952)Instructions burned: 3 (million)
% 0.20/0.53 % (10952)------------------------------
% 0.20/0.53 % (10952)------------------------------
% 0.20/0.53 % (10964)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (10963)Instruction limit reached!
% 0.20/0.53 % (10963)------------------------------
% 0.20/0.53 % (10963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10963)Termination reason: Unknown
% 0.20/0.53 % (10963)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (10963)Memory used [KB]: 1663
% 0.20/0.53 % (10963)Time elapsed: 0.008 s
% 0.20/0.53 % (10963)Instructions burned: 9 (million)
% 0.20/0.53 % (10963)------------------------------
% 0.20/0.53 % (10963)------------------------------
% 0.20/0.53 % (10944)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54 % (10942)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)
% 0.20/0.54 % (10946)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (10940)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.57/0.54 % (10946)Instruction limit reached!
% 1.57/0.54 % (10946)------------------------------
% 1.57/0.54 % (10946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.54 % (10946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.54 % (10946)Termination reason: Unknown
% 1.57/0.54 % (10946)Termination phase: Saturation
% 1.57/0.54
% 1.57/0.54 % (10946)Memory used [KB]: 6140
% 1.57/0.54 % (10946)Time elapsed: 0.156 s
% 1.57/0.54 % (10946)Instructions burned: 7 (million)
% 1.57/0.54 % (10946)------------------------------
% 1.57/0.54 % (10946)------------------------------
% 1.57/0.54 % (10959)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)
% 1.57/0.55 % (10941)Instruction limit reached!
% 1.57/0.55 % (10941)------------------------------
% 1.57/0.55 % (10941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (10945)Instruction limit reached!
% 1.57/0.55 % (10945)------------------------------
% 1.57/0.55 % (10945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (10945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (10945)Termination reason: Unknown
% 1.57/0.55 % (10945)Termination phase: Saturation
% 1.57/0.55
% 1.57/0.55 % (10945)Memory used [KB]: 6140
% 1.57/0.55 % (10945)Time elapsed: 0.151 s
% 1.57/0.55 % (10945)Instructions burned: 12 (million)
% 1.57/0.55 % (10945)------------------------------
% 1.57/0.55 % (10945)------------------------------
% 1.57/0.55 % (10941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (10941)Termination reason: Unknown
% 1.57/0.55 % (10941)Termination phase: Saturation
% 1.57/0.55
% 1.57/0.55 % (10941)Memory used [KB]: 6524
% 1.57/0.55 % (10941)Time elapsed: 0.146 s
% 1.57/0.55 % (10941)Instructions burned: 39 (million)
% 1.57/0.55 % (10941)------------------------------
% 1.57/0.55 % (10941)------------------------------
% 1.57/0.55 % (10954)Refutation found. Thanks to Tanya!
% 1.57/0.55 % SZS status Theorem for theBenchmark
% 1.57/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.55 % (10954)------------------------------
% 1.57/0.55 % (10954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (10954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (10954)Termination reason: Refutation
% 1.57/0.55
% 1.57/0.55 % (10954)Memory used [KB]: 6140
% 1.57/0.55 % (10954)Time elapsed: 0.148 s
% 1.57/0.55 % (10954)Instructions burned: 7 (million)
% 1.57/0.55 % (10954)------------------------------
% 1.57/0.55 % (10954)------------------------------
% 1.57/0.55 % (10934)Success in time 0.209 s
%------------------------------------------------------------------------------