TSTP Solution File: SWV030+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 10:27:45 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of formulae : 95 ( 20 unt; 1 typ; 0 def)
% Number of atoms : 1560 ( 64 equ)
% Maximal formula atoms : 34 ( 16 avg)
% Number of connectives : 706 ( 245 ~; 235 |; 183 &)
% ( 19 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1005 (1005 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 42 ( 40 usr; 36 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 62 ( 42 !; 19 ?; 10 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ5_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f383,plain,
$false,
inference(avatar_sat_refutation,[],[f290,f295,f300,f305,f310,f351,f356,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f375,f382]) ).
tff(f382,plain,
( spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f381]) ).
tff(f381,plain,
( $false
| spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6 ),
inference(subsumption_resolution,[],[f380,f309]) ).
tff(f309,plain,
( leq(n0,sK1)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f307]) ).
tff(f307,plain,
( spl6_6
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
tff(f380,plain,
( ~ leq(n0,sK1)
| spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f379,f304]) ).
tff(f304,plain,
( leq(sK1,n2)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f302]) ).
tff(f302,plain,
( spl6_5
<=> leq(sK1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
tff(f379,plain,
( ~ leq(sK1,n2)
| ~ leq(n0,sK1)
| spl6_2
| ~ spl6_3
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f378,f299]) ).
tff(f299,plain,
( leq(n0,sK2)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f297,plain,
( spl6_4
<=> leq(n0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f378,plain,
( ~ leq(n0,sK2)
| ~ leq(sK1,n2)
| ~ leq(n0,sK1)
| spl6_2
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f377,f294]) ).
tff(f294,plain,
( leq(sK2,n3)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f292]) ).
tff(f292,plain,
( spl6_3
<=> leq(sK2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f377,plain,
( ~ leq(sK2,n3)
| ~ leq(n0,sK2)
| ~ leq(sK1,n2)
| ~ leq(n0,sK1)
| spl6_2 ),
inference(resolution,[],[f289,f255]) ).
tff(f255,plain,
! [X2: $i,X3: $i] :
( sQ5_eqProxy($i,init,a_select3(simplex7_init,X3,X2))
| ~ leq(X3,n3)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f160,f249]) ).
tff(f249,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ5_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
tff(f160,plain,
! [X2: $i,X3: $i] :
( ( init = a_select3(simplex7_init,X3,X2) )
| ~ leq(X3,n3)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f141]) ).
tff(f141,plain,
( ( ( ( init != a_select2(s_values7_init,sK3) )
& leq(sK3,minus(pv1376,n1))
& leq(n0,sK3) )
| sP0
| ~ 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 ) )
& ! [X1] :
( ( init = a_select2(s_values7_init,X1) )
| ~ leq(X1,minus(pv1376,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( ! [X3] :
( ( init = a_select3(simplex7_init,X3,X2) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& 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,[sK3])],[f139,f140]) ).
tff(f140,plain,
( ? [X0] :
( ( init != a_select2(s_values7_init,X0) )
& leq(X0,minus(pv1376,n1))
& leq(n0,X0) )
=> ( ( init != a_select2(s_values7_init,sK3) )
& leq(sK3,minus(pv1376,n1))
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f139,plain,
( ( ? [X0] :
( ( init != a_select2(s_values7_init,X0) )
& leq(X0,minus(pv1376,n1))
& leq(n0,X0) )
| sP0
| ~ 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 ) )
& ! [X1] :
( ( init = a_select2(s_values7_init,X1) )
| ~ leq(X1,minus(pv1376,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( ! [X3] :
( ( init = a_select3(simplex7_init,X3,X2) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& 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,[],[f133]) ).
tff(f133,plain,
( ( ? [X3] :
( ( init != a_select2(s_values7_init,X3) )
& leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
| sP0
| ~ 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(definition_folding,[],[f107,f132]) ).
tff(f132,plain,
( ? [X4] :
( ? [X5] :
( ( init != a_select3(simplex7_init,X5,X4) )
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f107,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,[],[f106]) ).
tff(f106,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]) ).
tff(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]) ).
tff(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]) ).
tff(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.eY7zWrO5eI/Vampire---4.8_11751',gauss_init_0033) ).
tff(f289,plain,
( ~ sQ5_eqProxy($i,init,a_select3(simplex7_init,sK2,sK1))
| spl6_2 ),
inference(avatar_component_clause,[],[f287]) ).
tff(f287,plain,
( spl6_2
<=> sQ5_eqProxy($i,init,a_select3(simplex7_init,sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f375,plain,
( ~ spl6_18
| spl6_16
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f372,f353,f348,f358]) ).
tff(f358,plain,
( spl6_18
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
tff(f348,plain,
( spl6_16
<=> sQ5_eqProxy($i,init,a_select2(s_values7_init,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
tff(f353,plain,
( spl6_17
<=> leq(sK3,minus(pv1376,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
tff(f372,plain,
( ~ leq(n0,sK3)
| spl6_16
| ~ spl6_17 ),
inference(subsumption_resolution,[],[f371,f355]) ).
tff(f355,plain,
( leq(sK3,minus(pv1376,n1))
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f353]) ).
tff(f371,plain,
( ~ leq(sK3,minus(pv1376,n1))
| ~ leq(n0,sK3)
| spl6_16 ),
inference(resolution,[],[f254,f350]) ).
tff(f350,plain,
( ~ sQ5_eqProxy($i,init,a_select2(s_values7_init,sK3))
| spl6_16 ),
inference(avatar_component_clause,[],[f348]) ).
tff(f254,plain,
! [X1: $i] :
( sQ5_eqProxy($i,init,a_select2(s_values7_init,X1))
| ~ leq(X1,minus(pv1376,n1))
| ~ leq(n0,X1) ),
inference(equality_proxy_replacement,[],[f161,f249]) ).
tff(f161,plain,
! [X1: $i] :
( ( init = a_select2(s_values7_init,X1) )
| ~ leq(X1,minus(pv1376,n1))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tff(f370,plain,
spl6_7,
inference(avatar_split_clause,[],[f256,f312]) ).
tff(f312,plain,
( spl6_7
<=> sQ5_eqProxy($i,init,init) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
tff(f256,plain,
sQ5_eqProxy($i,init,init),
inference(equality_proxy_replacement,[],[f151,f249]) ).
tff(f151,plain,
init = init,
inference(cnf_transformation,[],[f141]) ).
tff(f369,plain,
spl6_8,
inference(avatar_split_clause,[],[f152,f316]) ).
tff(f316,plain,
( spl6_8
<=> leq(n0,pv7) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
tff(f152,plain,
leq(n0,pv7),
inference(cnf_transformation,[],[f141]) ).
tff(f368,plain,
spl6_9,
inference(avatar_split_clause,[],[f153,f320]) ).
tff(f320,plain,
( spl6_9
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
tff(f153,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f141]) ).
tff(f367,plain,
spl6_10,
inference(avatar_split_clause,[],[f154,f324]) ).
tff(f324,plain,
( spl6_10
<=> leq(n0,pv20) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
tff(f154,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f141]) ).
tff(f366,plain,
spl6_11,
inference(avatar_split_clause,[],[f155,f328]) ).
tff(f328,plain,
( spl6_11
<=> leq(n0,pv1376) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
tff(f155,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f141]) ).
tff(f365,plain,
spl6_12,
inference(avatar_split_clause,[],[f156,f332]) ).
tff(f332,plain,
( spl6_12
<=> leq(pv7,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
tff(f156,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f141]) ).
tff(f364,plain,
spl6_13,
inference(avatar_split_clause,[],[f157,f336]) ).
tff(f336,plain,
( spl6_13
<=> leq(pv19,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
tff(f157,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f141]) ).
tff(f363,plain,
spl6_14,
inference(avatar_split_clause,[],[f158,f340]) ).
tff(f340,plain,
( spl6_14
<=> leq(pv20,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
tff(f158,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f141]) ).
tff(f362,plain,
spl6_15,
inference(avatar_split_clause,[],[f159,f344]) ).
tff(f344,plain,
( spl6_15
<=> leq(pv1376,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
tff(f159,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f141]) ).
tff(f361,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_9
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14
| ~ spl6_15
| spl6_1
| spl6_18 ),
inference(avatar_split_clause,[],[f253,f358,f283,f344,f340,f336,f332,f328,f324,f320,f316,f312]) ).
tff(f283,plain,
( spl6_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f253,plain,
( leq(n0,sK3)
| sP0
| ~ 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)
| ~ sQ5_eqProxy($i,init,init) ),
inference(equality_proxy_replacement,[],[f162,f249]) ).
tff(f162,plain,
( leq(n0,sK3)
| sP0
| ~ 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,[],[f141]) ).
tff(f356,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_9
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14
| ~ spl6_15
| spl6_1
| spl6_17 ),
inference(avatar_split_clause,[],[f252,f353,f283,f344,f340,f336,f332,f328,f324,f320,f316,f312]) ).
tff(f252,plain,
( leq(sK3,minus(pv1376,n1))
| sP0
| ~ 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)
| ~ sQ5_eqProxy($i,init,init) ),
inference(equality_proxy_replacement,[],[f163,f249]) ).
tff(f163,plain,
( leq(sK3,minus(pv1376,n1))
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ( init != init ) ),
inference(cnf_transformation,[],[f141]) ).
tff(f351,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_9
| ~ spl6_10
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14
| ~ spl6_15
| spl6_1
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f251,f348,f283,f344,f340,f336,f332,f328,f324,f320,f316,f312]) ).
tff(f251,plain,
( ~ sQ5_eqProxy($i,init,a_select2(s_values7_init,sK3))
| sP0
| ~ 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)
| ~ sQ5_eqProxy($i,init,init) ),
inference(equality_proxy_replacement,[],[f164,f249]) ).
tff(f164,plain,
( ( init != a_select2(s_values7_init,sK3) )
| sP0
| ~ 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,[],[f141]) ).
tff(f310,plain,
( ~ spl6_1
| spl6_6 ),
inference(avatar_split_clause,[],[f146,f307,f283]) ).
tff(f146,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f138]) ).
tff(f138,plain,
( ( ( init != a_select3(simplex7_init,sK2,sK1) )
& leq(sK2,n3)
& leq(n0,sK2)
& leq(sK1,n2)
& leq(n0,sK1) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f135,f137,f136]) ).
tff(f136,plain,
( ? [X0] :
( ? [X1] :
( ( init != a_select3(simplex7_init,X1,X0) )
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ? [X1] :
( ( init != a_select3(simplex7_init,X1,sK1) )
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK1,n2)
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f137,plain,
( ? [X1] :
( ( init != a_select3(simplex7_init,X1,sK1) )
& leq(X1,n3)
& leq(n0,X1) )
=> ( ( init != a_select3(simplex7_init,sK2,sK1) )
& leq(sK2,n3)
& leq(n0,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f135,plain,
( ? [X0] :
( ? [X1] :
( ( init != a_select3(simplex7_init,X1,X0) )
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f134]) ).
tff(f134,plain,
( ? [X4] :
( ? [X5] :
( ( init != a_select3(simplex7_init,X5,X4) )
& leq(X5,n3)
& leq(n0,X5) )
& leq(X4,n2)
& leq(n0,X4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f132]) ).
tff(f305,plain,
( ~ spl6_1
| spl6_5 ),
inference(avatar_split_clause,[],[f147,f302,f283]) ).
tff(f147,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f138]) ).
tff(f300,plain,
( ~ spl6_1
| spl6_4 ),
inference(avatar_split_clause,[],[f148,f297,f283]) ).
tff(f148,plain,
( leq(n0,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f138]) ).
tff(f295,plain,
( ~ spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f149,f292,f283]) ).
tff(f149,plain,
( leq(sK2,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f138]) ).
tff(f290,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f250,f287,f283]) ).
tff(f250,plain,
( ~ sQ5_eqProxy($i,init,a_select3(simplex7_init,sK2,sK1))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f150,f249]) ).
tff(f150,plain,
( ( init != a_select3(simplex7_init,sK2,sK1) )
| ~ sP0 ),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 21:03:08 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.eY7zWrO5eI/Vampire---4.8_11751
% 0.62/0.80 % (11860)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80 % (11862)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (11865)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80 % (11863)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (11861)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.80 % (11864)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80 % (11866)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.80 % (11867)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.81 % (11860)First to succeed.
% 0.62/0.81 % (11867)Also succeeded, but the first one will report.
% 0.62/0.81 % (11860)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11858"
% 0.62/0.81 % (11863)Also succeeded, but the first one will report.
% 0.62/0.81 % (11862)Also succeeded, but the first one will report.
% 0.62/0.81 % (11860)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for Vampire---4
% 0.62/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81 % (11860)------------------------------
% 0.62/0.81 % (11860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (11860)Termination reason: Refutation
% 0.62/0.81
% 0.62/0.81 % (11860)Memory used [KB]: 1178
% 0.62/0.81 % (11860)Time elapsed: 0.007 s
% 0.62/0.81 % (11860)Instructions burned: 11 (million)
% 0.62/0.81 % (11858)Success in time 0.487 s
% 0.62/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------