TSTP Solution File: SWV039+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV039+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 : n029.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 May 1 04:02:17 EDT 2024
% Result : Theorem 0.69s 0.86s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 43
% Syntax : Number of formulae : 198 ( 23 unt; 0 def)
% Number of atoms : 1082 ( 270 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 1372 ( 488 ~; 533 |; 278 &)
% ( 30 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 33 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 24 con; 0-3 aty)
% Number of variables : 108 ( 77 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1364,plain,
$false,
inference(avatar_sat_refutation,[],[f237,f246,f255,f305,f310,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f574,f694,f699,f742,f890,f896,f906,f922,f971,f981,f986,f1028,f1312,f1363]) ).
fof(f1363,plain,
( ~ spl8_18
| ~ spl8_101 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1362,plain,
( $false
| ~ spl8_18
| ~ spl8_101 ),
inference(subsumption_resolution,[],[f1359,f165]) ).
fof(f165,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.60QRRhrbW6/Vampire---4.8_18442',irreflexivity_gt) ).
fof(f1359,plain,
( gt(n0,n0)
| ~ spl8_18
| ~ spl8_101 ),
inference(superposition,[],[f1309,f1004]) ).
fof(f1004,plain,
( n0 = sK7
| ~ spl8_101 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1002,plain,
( spl8_101
<=> n0 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_101])]) ).
fof(f1309,plain,
( gt(n0,sK7)
| ~ spl8_18 ),
inference(resolution,[],[f304,f216]) ).
fof(f216,plain,
! [X0,X1] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f194,f184]) ).
fof(f184,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.60QRRhrbW6/Vampire---4.8_18442',pred_minus_1) ).
fof(f194,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.60QRRhrbW6/Vampire---4.8_18442',leq_gt_pred) ).
fof(f304,plain,
( leq(sK7,minus(n0,n1))
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl8_18
<=> leq(sK7,minus(n0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f1312,plain,
( ~ spl8_18
| spl8_106 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl8_18
| spl8_106 ),
inference(subsumption_resolution,[],[f1309,f1052]) ).
fof(f1052,plain,
( ~ gt(n0,sK7)
| spl8_106 ),
inference(resolution,[],[f1027,f164]) ).
fof(f164,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.60QRRhrbW6/Vampire---4.8_18442',leq_gt1) ).
fof(f1027,plain,
( ~ leq(sK7,n0)
| spl8_106 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl8_106
<=> leq(sK7,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_106])]) ).
fof(f1028,plain,
( spl8_101
| ~ spl8_106
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f991,f307,f1025,f1002]) ).
fof(f307,plain,
( spl8_19
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f991,plain,
( ~ leq(sK7,n0)
| n0 = sK7
| ~ spl8_19 ),
inference(resolution,[],[f309,f168]) ).
fof(f168,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.60QRRhrbW6/Vampire---4.8_18442',finite_domain_0) ).
fof(f309,plain,
( leq(n0,sK7)
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f986,plain,
( ~ spl8_5
| spl8_89 ),
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f985,plain,
( $false
| ~ spl8_5
| spl8_89 ),
inference(subsumption_resolution,[],[f982,f249]) ).
fof(f249,plain,
( sP0
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl8_5
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f982,plain,
( ~ sP0
| spl8_89 ),
inference(resolution,[],[f885,f139]) ).
fof(f139,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( init != a_select3(simplex7_init,sK6,sK5)
& leq(sK6,n3)
& leq(n0,sK6)
& leq(sK5,n2)
& leq(n0,sK5) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f121,f123,f122]) ).
fof(f122,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,sK5)
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK5,n2)
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X1] :
( init != a_select3(simplex7_init,X1,sK5)
& leq(X1,n3)
& leq(n0,X1) )
=> ( init != a_select3(simplex7_init,sK6,sK5)
& leq(sK6,n3)
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f121,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,[],[f120]) ).
fof(f120,plain,
( ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ sP0 ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
( ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f885,plain,
( ~ leq(n0,sK6)
| spl8_89 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f883,plain,
( spl8_89
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_89])]) ).
fof(f981,plain,
( ~ spl8_5
| spl8_90 ),
inference(avatar_contradiction_clause,[],[f980]) ).
fof(f980,plain,
( $false
| ~ spl8_5
| spl8_90 ),
inference(subsumption_resolution,[],[f977,f249]) ).
fof(f977,plain,
( ~ sP0
| spl8_90 ),
inference(resolution,[],[f889,f140]) ).
fof(f140,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f889,plain,
( ~ leq(sK6,n3)
| spl8_90 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl8_90
<=> leq(sK6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).
fof(f971,plain,
( ~ spl8_5
| spl8_88 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f970,plain,
( $false
| ~ spl8_5
| spl8_88 ),
inference(subsumption_resolution,[],[f967,f249]) ).
fof(f967,plain,
( ~ sP0
| spl8_88 ),
inference(resolution,[],[f881,f138]) ).
fof(f138,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f881,plain,
( ~ leq(sK5,n2)
| spl8_88 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl8_88
<=> leq(sK5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_88])]) ).
fof(f922,plain,
( ~ spl8_1
| spl8_55 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| ~ spl8_1
| spl8_55 ),
inference(subsumption_resolution,[],[f918,f231]) ).
fof(f231,plain,
( sP2
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl8_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f918,plain,
( ~ sP2
| spl8_55 ),
inference(resolution,[],[f573,f132]) ).
fof(f132,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( init != a_select2(s_center7_init,sK3)
& leq(sK3,n2)
& leq(n0,sK3) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f113,f114]) ).
fof(f114,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
=> ( init != a_select2(s_center7_init,sK3)
& leq(sK3,n2)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
( ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ~ sP2 ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
( ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f573,plain,
( ~ leq(sK3,n2)
| spl8_55 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl8_55
<=> leq(sK3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_55])]) ).
fof(f906,plain,
( ~ spl8_1
| spl8_54 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f905,plain,
( $false
| ~ spl8_1
| spl8_54 ),
inference(subsumption_resolution,[],[f902,f231]) ).
fof(f902,plain,
( ~ sP2
| spl8_54 ),
inference(resolution,[],[f569,f131]) ).
fof(f131,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f115]) ).
fof(f569,plain,
( ~ leq(n0,sK3)
| spl8_54 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f567,plain,
( spl8_54
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).
fof(f896,plain,
( ~ spl8_5
| spl8_87 ),
inference(avatar_split_clause,[],[f891,f875,f248]) ).
fof(f875,plain,
( spl8_87
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_87])]) ).
fof(f891,plain,
( ~ sP0
| spl8_87 ),
inference(resolution,[],[f877,f137]) ).
fof(f137,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f877,plain,
( ~ leq(n0,sK5)
| spl8_87 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f890,plain,
( ~ spl8_87
| ~ spl8_88
| ~ spl8_89
| ~ spl8_90
| spl8_6 ),
inference(avatar_split_clause,[],[f873,f252,f887,f883,f879,f875]) ).
fof(f252,plain,
( spl8_6
<=> s_worst7_init = a_select3(simplex7_init,sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f873,plain,
( ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl8_6 ),
inference(trivial_inequality_removal,[],[f872]) ).
fof(f872,plain,
( s_worst7_init != s_worst7_init
| ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl8_6 ),
inference(superposition,[],[f254,f211]) ).
fof(f211,plain,
! [X3,X4] :
( s_worst7_init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f151,f144]) ).
fof(f144,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ( init != a_select2(s_try7_init,sK7)
& leq(sK7,minus(n0,n1))
& leq(n0,sK7) )
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f125,f126]) ).
fof(f126,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_try7_init,sK7)
& leq(sK7,minus(n0,n1))
& leq(n0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X4] :
( init != a_select2(s_try7_init,X4)
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(X1,n3)
| ~ 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(definition_folding,[],[f89,f110,f109,f108]) ).
fof(f109,plain,
( ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f89,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X4] :
( init != a_select2(s_try7_init,X4)
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(X1,n3)
| ~ 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X4] :
( init != a_select2(s_try7_init,X4)
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(X1,n3)
| ~ 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> init = a_select2(s_center7_init,X0) )
& ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> init = a_select2(s_values7_init,X1) )
& ! [X2] :
( ( leq(X2,n2)
& leq(n0,X2) )
=> ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select3(simplex7_init,X3,X2) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X4] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> init = a_select2(s_try7_init,X4) )
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> init = a_select2(s_center7_init,X5) )
& ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> init = a_select2(s_values7_init,X6) )
& ! [X7] :
( ( leq(X7,n2)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n3)
& leq(n0,X8) )
=> init = a_select3(simplex7_init,X8,X7) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X4] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> init = a_select2(s_try7_init,X4) )
& ! [X28] :
( ( leq(X28,n2)
& leq(n0,X28) )
=> init = a_select2(s_center7_init,X28) )
& ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select2(s_values7_init,X27) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> ! [X21] :
( ( leq(X21,n3)
& leq(n0,X21) )
=> init = a_select3(simplex7_init,X21,X20) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X4] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> init = a_select2(s_try7_init,X4) )
& ! [X28] :
( ( leq(X28,n2)
& leq(n0,X28) )
=> init = a_select2(s_center7_init,X28) )
& ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select2(s_values7_init,X27) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> ! [X21] :
( ( leq(X21,n3)
& leq(n0,X21) )
=> init = a_select3(simplex7_init,X21,X20) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ) ),
file('/export/starexec/sandbox2/tmp/tmp.60QRRhrbW6/Vampire---4.8_18442',gauss_init_0069) ).
fof(f151,plain,
! [X3,X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f254,plain,
( s_worst7_init != a_select3(simplex7_init,sK6,sK5)
| spl8_6 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f742,plain,
( ~ spl8_3
| spl8_68 ),
inference(avatar_split_clause,[],[f737,f691,f239]) ).
fof(f239,plain,
( spl8_3
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f691,plain,
( spl8_68
<=> leq(sK4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).
fof(f737,plain,
( ~ sP1
| spl8_68 ),
inference(resolution,[],[f693,f135]) ).
fof(f135,plain,
( leq(sK4,n3)
| ~ sP1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( init != a_select2(s_values7_init,sK4)
& leq(sK4,n3)
& leq(n0,sK4) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f117,f118]) ).
fof(f118,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
=> ( init != a_select2(s_values7_init,sK4)
& leq(sK4,n3)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
( ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ~ sP1 ),
inference(nnf_transformation,[],[f109]) ).
fof(f693,plain,
( ~ leq(sK4,n3)
| spl8_68 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f699,plain,
( ~ spl8_3
| spl8_67 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f698,plain,
( $false
| ~ spl8_3
| spl8_67 ),
inference(subsumption_resolution,[],[f695,f240]) ).
fof(f240,plain,
( sP1
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f695,plain,
( ~ sP1
| spl8_67 ),
inference(resolution,[],[f689,f134]) ).
fof(f134,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f689,plain,
( ~ leq(n0,sK4)
| spl8_67 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl8_67
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_67])]) ).
fof(f694,plain,
( ~ spl8_67
| ~ spl8_68
| spl8_4 ),
inference(avatar_split_clause,[],[f685,f243,f691,f687]) ).
fof(f243,plain,
( spl8_4
<=> s_worst7_init = a_select2(s_values7_init,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f685,plain,
( ~ leq(sK4,n3)
| ~ leq(n0,sK4)
| spl8_4 ),
inference(trivial_inequality_removal,[],[f684]) ).
fof(f684,plain,
( s_worst7_init != s_worst7_init
| ~ leq(sK4,n3)
| ~ leq(n0,sK4)
| spl8_4 ),
inference(superposition,[],[f245,f210]) ).
fof(f210,plain,
! [X2] :
( s_worst7_init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f152,f144]) ).
fof(f152,plain,
! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f245,plain,
( s_worst7_init != a_select2(s_values7_init,sK4)
| spl8_4 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f574,plain,
( ~ spl8_54
| ~ spl8_55
| spl8_2 ),
inference(avatar_split_clause,[],[f565,f234,f571,f567]) ).
fof(f234,plain,
( spl8_2
<=> s_worst7_init = a_select2(s_center7_init,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f565,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK3)
| spl8_2 ),
inference(trivial_inequality_removal,[],[f564]) ).
fof(f564,plain,
( s_worst7_init != s_worst7_init
| ~ leq(sK3,n2)
| ~ leq(n0,sK3)
| spl8_2 ),
inference(superposition,[],[f236,f209]) ).
fof(f209,plain,
! [X1] :
( s_worst7_init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f153,f144]) ).
fof(f153,plain,
! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f236,plain,
( s_worst7_init != a_select2(s_center7_init,sK3)
| spl8_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f327,plain,
spl8_7,
inference(avatar_split_clause,[],[f212,f257]) ).
fof(f257,plain,
( spl8_7
<=> s_sworst7_init = s_worst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f212,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f143,f144]) ).
fof(f143,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f127]) ).
fof(f326,plain,
spl8_8,
inference(avatar_split_clause,[],[f145,f261]) ).
fof(f261,plain,
( spl8_8
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f145,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f127]) ).
fof(f325,plain,
spl8_9,
inference(avatar_split_clause,[],[f146,f265]) ).
fof(f265,plain,
( spl8_9
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f146,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f127]) ).
fof(f324,plain,
spl8_10,
inference(avatar_split_clause,[],[f147,f269]) ).
fof(f269,plain,
( spl8_10
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f147,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f127]) ).
fof(f323,plain,
spl8_11,
inference(avatar_split_clause,[],[f148,f273]) ).
fof(f273,plain,
( spl8_11
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f148,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f127]) ).
fof(f322,plain,
spl8_12,
inference(avatar_split_clause,[],[f149,f277]) ).
fof(f277,plain,
( spl8_12
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f149,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f127]) ).
fof(f321,plain,
spl8_13,
inference(avatar_split_clause,[],[f150,f281]) ).
fof(f281,plain,
( spl8_13
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f150,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f127]) ).
fof(f320,plain,
( ~ spl8_20
| spl8_15 ),
inference(avatar_split_clause,[],[f208,f289,f312]) ).
fof(f312,plain,
( spl8_20
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f289,plain,
( spl8_15
<=> s_worst7_init = pvar1400_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f208,plain,
( s_worst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f154,f144]) ).
fof(f154,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f319,plain,
( ~ spl8_20
| spl8_16 ),
inference(avatar_split_clause,[],[f207,f293,f312]) ).
fof(f293,plain,
( spl8_16
<=> s_worst7_init = pvar1401_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f207,plain,
( s_worst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f155,f144]) ).
fof(f155,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f318,plain,
( ~ spl8_20
| spl8_17 ),
inference(avatar_split_clause,[],[f206,f297,f312]) ).
fof(f297,plain,
( spl8_17
<=> s_worst7_init = pvar1402_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f206,plain,
( s_worst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f156,f144]) ).
fof(f156,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f317,plain,
( ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13
| spl8_5
| spl8_3
| spl8_1
| spl8_19
| spl8_20 ),
inference(avatar_split_clause,[],[f218,f312,f307,f230,f239,f248,f281,f277,f273,f269,f265,f261,f257]) ).
fof(f218,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_sworst7_init != s_worst7_init ),
inference(trivial_inequality_removal,[],[f217]) ).
fof(f217,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init ),
inference(definition_unfolding,[],[f157,f144,f144,f196,f144]) ).
fof(f196,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f142,f144]) ).
fof(f142,plain,
s_best7_init = init,
inference(cnf_transformation,[],[f127]) ).
fof(f157,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
( ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13
| spl8_5
| spl8_3
| spl8_1
| spl8_18
| spl8_20 ),
inference(avatar_split_clause,[],[f220,f312,f302,f230,f239,f248,f281,f277,f273,f269,f265,f261,f257]) ).
fof(f220,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_sworst7_init != s_worst7_init ),
inference(trivial_inequality_removal,[],[f219]) ).
fof(f219,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init ),
inference(definition_unfolding,[],[f158,f144,f144,f196,f144]) ).
fof(f158,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(cnf_transformation,[],[f127]) ).
fof(f310,plain,
( ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13
| spl8_5
| spl8_3
| spl8_1
| spl8_19
| ~ spl8_15
| ~ spl8_16
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f224,f297,f293,f289,f307,f230,f239,f248,f281,f277,f273,f269,f265,f261,f257]) ).
fof(f224,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_sworst7_init != s_worst7_init ),
inference(trivial_inequality_removal,[],[f223]) ).
fof(f223,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init ),
inference(definition_unfolding,[],[f160,f144,f144,f144,f144,f144,f196,f144]) ).
fof(f160,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(cnf_transformation,[],[f127]) ).
fof(f305,plain,
( ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13
| spl8_5
| spl8_3
| spl8_1
| spl8_18
| ~ spl8_15
| ~ spl8_16
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f226,f297,f293,f289,f302,f230,f239,f248,f281,f277,f273,f269,f265,f261,f257]) ).
fof(f226,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_sworst7_init != s_worst7_init ),
inference(trivial_inequality_removal,[],[f225]) ).
fof(f225,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init ),
inference(definition_unfolding,[],[f161,f144,f144,f144,f144,f144,f196,f144]) ).
fof(f161,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(sK7,minus(n0,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(cnf_transformation,[],[f127]) ).
fof(f255,plain,
( ~ spl8_5
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f199,f252,f248]) ).
fof(f199,plain,
( s_worst7_init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(definition_unfolding,[],[f141,f144]) ).
fof(f141,plain,
( init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f246,plain,
( ~ spl8_3
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f198,f243,f239]) ).
fof(f198,plain,
( s_worst7_init != a_select2(s_values7_init,sK4)
| ~ sP1 ),
inference(definition_unfolding,[],[f136,f144]) ).
fof(f136,plain,
( init != a_select2(s_values7_init,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f237,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f197,f234,f230]) ).
fof(f197,plain,
( s_worst7_init != a_select2(s_center7_init,sK3)
| ~ sP2 ),
inference(definition_unfolding,[],[f133,f144]) ).
fof(f133,plain,
( init != a_select2(s_center7_init,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV039+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:50:20 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.60QRRhrbW6/Vampire---4.8_18442
% 0.65/0.84 % (18701)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.84 % (18699)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)
% 0.65/0.84 % (18704)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)
% 0.65/0.84 % (18700)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)
% 0.65/0.84 % (18702)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)
% 0.65/0.84 % (18703)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)
% 0.65/0.84 % (18705)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)
% 0.65/0.84 % (18706)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)
% 0.69/0.86 % (18703)Instruction limit reached!
% 0.69/0.86 % (18703)------------------------------
% 0.69/0.86 % (18703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86 % (18703)Termination reason: Unknown
% 0.69/0.86 % (18703)Termination phase: Saturation
% 0.69/0.86
% 0.69/0.86 % (18703)Memory used [KB]: 1570
% 0.69/0.86 % (18703)Time elapsed: 0.019 s
% 0.69/0.86 % (18703)Instructions burned: 35 (million)
% 0.69/0.86 % (18703)------------------------------
% 0.69/0.86 % (18703)------------------------------
% 0.69/0.86 % (18704)First to succeed.
% 0.69/0.86 % (18699)Instruction limit reached!
% 0.69/0.86 % (18699)------------------------------
% 0.69/0.86 % (18699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86 % (18699)Termination reason: Unknown
% 0.69/0.86 % (18699)Termination phase: Saturation
% 0.69/0.86
% 0.69/0.86 % (18699)Memory used [KB]: 1440
% 0.69/0.86 % (18699)Time elapsed: 0.021 s
% 0.69/0.86 % (18699)Instructions burned: 34 (million)
% 0.69/0.86 % (18699)------------------------------
% 0.69/0.86 % (18699)------------------------------
% 0.69/0.86 % (18702)Instruction limit reached!
% 0.69/0.86 % (18702)------------------------------
% 0.69/0.86 % (18702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86 % (18702)Termination reason: Unknown
% 0.69/0.86 % (18702)Termination phase: Saturation
% 0.69/0.86
% 0.69/0.86 % (18702)Memory used [KB]: 1613
% 0.69/0.86 % (18702)Time elapsed: 0.022 s
% 0.69/0.86 % (18702)Instructions burned: 34 (million)
% 0.69/0.86 % (18702)------------------------------
% 0.69/0.86 % (18702)------------------------------
% 0.69/0.86 % (18710)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.69/0.86 % (18711)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.69/0.86 % (18704)Refutation found. Thanks to Tanya!
% 0.69/0.86 % SZS status Theorem for Vampire---4
% 0.69/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.87 % (18704)------------------------------
% 0.69/0.87 % (18704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.87 % (18704)Termination reason: Refutation
% 0.69/0.87
% 0.69/0.87 % (18704)Memory used [KB]: 1467
% 0.69/0.87 % (18704)Time elapsed: 0.024 s
% 0.69/0.87 % (18704)Instructions burned: 38 (million)
% 0.69/0.87 % (18704)------------------------------
% 0.69/0.87 % (18704)------------------------------
% 0.69/0.87 % (18650)Success in time 0.497 s
% 0.69/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------