TSTP Solution File: PUZ017-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ017-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 08:49:36 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of formulae : 202 ( 28 unt; 0 def)
% Number of atoms : 575 ( 0 equ)
% Maximal formula atoms : 25 ( 2 avg)
% Number of connectives : 615 ( 242 ~; 348 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 26 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f928,plain,
$false,
inference(avatar_sat_refutation,[],[f224,f616,f624,f630,f760,f773,f781,f789,f799,f809,f817,f825,f835,f838,f848,f856,f862,f870,f879,f883,f892,f900,f908,f914,f921,f927]) ).
fof(f927,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f926,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f925,f151]) ).
fof(f151,plain,
( ! [X18] : ~ hasgame(n1,X18)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl0_1
<=> ! [X18] : ~ hasgame(n1,X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f925,plain,
( hasgame(n1,racquetball)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f924,f151]) ).
fof(f924,plain,
( hasgame(n1,quoits)
| hasgame(n1,racquetball)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f923,f151]) ).
fof(f923,plain,
( hasgame(n1,backgammon)
| hasgame(n1,quoits)
| hasgame(n1,racquetball)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f922,f151]) ).
fof(f922,plain,
( hasgame(n1,solitaire)
| hasgame(n1,backgammon)
| hasgame(n1,quoits)
| hasgame(n1,racquetball)
| ~ spl0_1 ),
inference(resolution,[],[f151,f80]) ).
fof(f80,axiom,
! [X0] :
( hasgame(X0,charades)
| hasgame(X0,solitaire)
| hasgame(X0,backgammon)
| hasgame(X0,quoits)
| hasgame(X0,racquetball) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_game) ).
fof(f921,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f920,plain,
( $false
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f919,f199]) ).
fof(f199,plain,
( ! [X7] : ~ hasperson(n5,X7)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl0_17
<=> ! [X7] : ~ hasperson(n5,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f919,plain,
( hasperson(n5,russian)
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f918,f199]) ).
fof(f918,plain,
( hasperson(n5,italian)
| hasperson(n5,russian)
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f917,f199]) ).
fof(f917,plain,
( hasperson(n5,swede)
| hasperson(n5,italian)
| hasperson(n5,russian)
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f916,f199]) ).
fof(f916,plain,
( hasperson(n5,englishman)
| hasperson(n5,swede)
| hasperson(n5,italian)
| hasperson(n5,russian)
| ~ spl0_17 ),
inference(resolution,[],[f199,f74]) ).
fof(f74,axiom,
! [X0] :
( hasperson(X0,american)
| hasperson(X0,englishman)
| hasperson(X0,swede)
| hasperson(X0,italian)
| hasperson(X0,russian) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_national) ).
fof(f914,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f913,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f912,f163]) ).
fof(f163,plain,
( ! [X19] : ~ hasgame(n2,X19)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl0_5
<=> ! [X19] : ~ hasgame(n2,X19) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f912,plain,
( hasgame(n2,racquetball)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f911,f163]) ).
fof(f911,plain,
( hasgame(n2,quoits)
| hasgame(n2,racquetball)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f910,f163]) ).
fof(f910,plain,
( hasgame(n2,backgammon)
| hasgame(n2,quoits)
| hasgame(n2,racquetball)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f909,f163]) ).
fof(f909,plain,
( hasgame(n2,solitaire)
| hasgame(n2,backgammon)
| hasgame(n2,quoits)
| hasgame(n2,racquetball)
| ~ spl0_5 ),
inference(resolution,[],[f163,f80]) ).
fof(f908,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f907,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f906,f166]) ).
fof(f166,plain,
( ! [X23] : ~ haspet(n1,X23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_6
<=> ! [X23] : ~ haspet(n1,X23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f906,plain,
( haspet(n1,camel)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f905,f166]) ).
fof(f905,plain,
( haspet(n1,rat)
| haspet(n1,camel)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f904,f166]) ).
fof(f904,plain,
( haspet(n1,guppy)
| haspet(n1,rat)
| haspet(n1,camel)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f902,f166]) ).
fof(f902,plain,
( haspet(n1,toad)
| haspet(n1,guppy)
| haspet(n1,rat)
| haspet(n1,camel)
| ~ spl0_6 ),
inference(resolution,[],[f166,f82]) ).
fof(f82,axiom,
! [X0] :
( haspet(X0,no_pet)
| haspet(X0,toad)
| haspet(X0,guppy)
| haspet(X0,rat)
| haspet(X0,camel) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_pet) ).
fof(f900,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f899,plain,
( $false
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f898,f223]) ).
fof(f223,plain,
( ! [X14] : ~ hasdrink(n2,X14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl0_25
<=> ! [X14] : ~ hasdrink(n2,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f898,plain,
( hasdrink(n2,vodka)
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f897,f223]) ).
fof(f897,plain,
( hasdrink(n2,lemonade)
| hasdrink(n2,vodka)
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f896,f223]) ).
fof(f896,plain,
( hasdrink(n2,coffee)
| hasdrink(n2,lemonade)
| hasdrink(n2,vodka)
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f894,f223]) ).
fof(f894,plain,
( hasdrink(n2,milk)
| hasdrink(n2,coffee)
| hasdrink(n2,lemonade)
| hasdrink(n2,vodka)
| ~ spl0_25 ),
inference(resolution,[],[f223,f78]) ).
fof(f78,axiom,
! [X0] :
( hasdrink(X0,unknown_drink)
| hasdrink(X0,milk)
| hasdrink(X0,coffee)
| hasdrink(X0,lemonade)
| hasdrink(X0,vodka) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_drink) ).
fof(f892,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f891,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f890,f220]) ).
fof(f220,plain,
( ! [X16] : ~ hasdrink(n4,X16)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl0_24
<=> ! [X16] : ~ hasdrink(n4,X16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f890,plain,
( hasdrink(n4,vodka)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f889,f220]) ).
fof(f889,plain,
( hasdrink(n4,lemonade)
| hasdrink(n4,vodka)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f888,f220]) ).
fof(f888,plain,
( hasdrink(n4,coffee)
| hasdrink(n4,lemonade)
| hasdrink(n4,vodka)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f886,f220]) ).
fof(f886,plain,
( hasdrink(n4,milk)
| hasdrink(n4,coffee)
| hasdrink(n4,lemonade)
| hasdrink(n4,vodka)
| ~ spl0_24 ),
inference(resolution,[],[f220,f78]) ).
fof(f883,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f880,plain,
( $false
| ~ spl0_23 ),
inference(resolution,[],[f217,f146]) ).
fof(f146,axiom,
hasdrink(n3,milk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_3_has_milk) ).
fof(f217,plain,
( ! [X15] : ~ hasdrink(n3,X15)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl0_23
<=> ! [X15] : ~ hasdrink(n3,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f879,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f878,plain,
( $false
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f877,f214]) ).
fof(f214,plain,
( ! [X17] : ~ hasdrink(n5,X17)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl0_22
<=> ! [X17] : ~ hasdrink(n5,X17) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f877,plain,
( hasdrink(n5,vodka)
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f876,f214]) ).
fof(f876,plain,
( hasdrink(n5,lemonade)
| hasdrink(n5,vodka)
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f875,f214]) ).
fof(f875,plain,
( hasdrink(n5,coffee)
| hasdrink(n5,lemonade)
| hasdrink(n5,vodka)
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f873,f214]) ).
fof(f873,plain,
( hasdrink(n5,milk)
| hasdrink(n5,coffee)
| hasdrink(n5,lemonade)
| hasdrink(n5,vodka)
| ~ spl0_22 ),
inference(resolution,[],[f214,f78]) ).
fof(f870,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f869,plain,
( $false
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f868,f211]) ).
fof(f211,plain,
( ! [X13] : ~ hasdrink(n1,X13)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl0_21
<=> ! [X13] : ~ hasdrink(n1,X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f868,plain,
( hasdrink(n1,vodka)
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f867,f211]) ).
fof(f867,plain,
( hasdrink(n1,lemonade)
| hasdrink(n1,vodka)
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f866,f211]) ).
fof(f866,plain,
( hasdrink(n1,coffee)
| hasdrink(n1,lemonade)
| hasdrink(n1,vodka)
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f864,f211]) ).
fof(f864,plain,
( hasdrink(n1,milk)
| hasdrink(n1,coffee)
| hasdrink(n1,lemonade)
| hasdrink(n1,vodka)
| ~ spl0_21 ),
inference(resolution,[],[f211,f78]) ).
fof(f862,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f861,plain,
( $false
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f860,f208]) ).
fof(f208,plain,
( ! [X6] : ~ hasperson(n4,X6)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl0_20
<=> ! [X6] : ~ hasperson(n4,X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f860,plain,
( hasperson(n4,russian)
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f859,f208]) ).
fof(f859,plain,
( hasperson(n4,italian)
| hasperson(n4,russian)
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f858,f208]) ).
fof(f858,plain,
( hasperson(n4,swede)
| hasperson(n4,italian)
| hasperson(n4,russian)
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f857,f208]) ).
fof(f857,plain,
( hasperson(n4,englishman)
| hasperson(n4,swede)
| hasperson(n4,italian)
| hasperson(n4,russian)
| ~ spl0_20 ),
inference(resolution,[],[f208,f74]) ).
fof(f856,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f855,plain,
( $false
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f854,f205]) ).
fof(f205,plain,
( ! [X2] : ~ hasperson(n2,X2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl0_19
<=> ! [X2] : ~ hasperson(n2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f854,plain,
( hasperson(n2,russian)
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f853,f205]) ).
fof(f853,plain,
( hasperson(n2,italian)
| hasperson(n2,russian)
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f852,f205]) ).
fof(f852,plain,
( hasperson(n2,swede)
| hasperson(n2,italian)
| hasperson(n2,russian)
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f850,f205]) ).
fof(f850,plain,
( hasperson(n2,englishman)
| hasperson(n2,swede)
| hasperson(n2,italian)
| hasperson(n2,russian)
| ~ spl0_19 ),
inference(resolution,[],[f205,f74]) ).
fof(f848,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f847,plain,
( $false
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f846,f202]) ).
fof(f202,plain,
( ! [X3] : ~ hasperson(n3,X3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl0_18
<=> ! [X3] : ~ hasperson(n3,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f846,plain,
( hasperson(n3,russian)
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f845,f202]) ).
fof(f845,plain,
( hasperson(n3,italian)
| hasperson(n3,russian)
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f844,f202]) ).
fof(f844,plain,
( hasperson(n3,swede)
| hasperson(n3,italian)
| hasperson(n3,russian)
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f843,f202]) ).
fof(f843,plain,
( hasperson(n3,englishman)
| hasperson(n3,swede)
| hasperson(n3,italian)
| hasperson(n3,russian)
| ~ spl0_18 ),
inference(resolution,[],[f202,f74]) ).
fof(f838,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl0_16 ),
inference(resolution,[],[f196,f147]) ).
fof(f147,axiom,
hasperson(n1,russian),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_1_has_russian) ).
fof(f196,plain,
( ! [X5] : ~ hasperson(n1,X5)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl0_16
<=> ! [X5] : ~ hasperson(n1,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f835,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f833,f193]) ).
fof(f193,plain,
( ! [X9] : ~ hascolor(n2,X9)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl0_15
<=> ! [X9] : ~ hascolor(n2,X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f833,plain,
( hascolor(n2,red)
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f832,f193]) ).
fof(f832,plain,
( hascolor(n2,green)
| hascolor(n2,red)
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f831,f193]) ).
fof(f831,plain,
( hascolor(n2,white)
| hascolor(n2,green)
| hascolor(n2,red)
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f828,f193]) ).
fof(f828,plain,
( hascolor(n2,yellow)
| hascolor(n2,white)
| hascolor(n2,green)
| hascolor(n2,red)
| ~ spl0_15 ),
inference(resolution,[],[f193,f76]) ).
fof(f76,axiom,
! [X0] :
( hascolor(X0,blue)
| hascolor(X0,yellow)
| hascolor(X0,white)
| hascolor(X0,green)
| hascolor(X0,red) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_color) ).
fof(f825,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f824,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f823,f190]) ).
fof(f190,plain,
( ! [X11] : ~ hascolor(n4,X11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl0_14
<=> ! [X11] : ~ hascolor(n4,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f823,plain,
( hascolor(n4,red)
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f822,f190]) ).
fof(f822,plain,
( hascolor(n4,green)
| hascolor(n4,red)
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f821,f190]) ).
fof(f821,plain,
( hascolor(n4,white)
| hascolor(n4,green)
| hascolor(n4,red)
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f819,f190]) ).
fof(f819,plain,
( hascolor(n4,yellow)
| hascolor(n4,white)
| hascolor(n4,green)
| hascolor(n4,red)
| ~ spl0_14 ),
inference(resolution,[],[f190,f76]) ).
fof(f817,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f816,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f815,f187]) ).
fof(f187,plain,
( ! [X10] : ~ hascolor(n3,X10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl0_13
<=> ! [X10] : ~ hascolor(n3,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f815,plain,
( hascolor(n3,red)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f814,f187]) ).
fof(f814,plain,
( hascolor(n3,green)
| hascolor(n3,red)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f813,f187]) ).
fof(f813,plain,
( hascolor(n3,white)
| hascolor(n3,green)
| hascolor(n3,red)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f811,f187]) ).
fof(f811,plain,
( hascolor(n3,yellow)
| hascolor(n3,white)
| hascolor(n3,green)
| hascolor(n3,red)
| ~ spl0_13 ),
inference(resolution,[],[f187,f76]) ).
fof(f809,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f807,f184]) ).
fof(f184,plain,
( ! [X12] : ~ hascolor(n5,X12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl0_12
<=> ! [X12] : ~ hascolor(n5,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f807,plain,
( hascolor(n5,red)
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f806,f184]) ).
fof(f806,plain,
( hascolor(n5,green)
| hascolor(n5,red)
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f805,f184]) ).
fof(f805,plain,
( hascolor(n5,white)
| hascolor(n5,green)
| hascolor(n5,red)
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f802,f184]) ).
fof(f802,plain,
( hascolor(n5,yellow)
| hascolor(n5,white)
| hascolor(n5,green)
| hascolor(n5,red)
| ~ spl0_12 ),
inference(resolution,[],[f184,f76]) ).
fof(f799,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f797,f181]) ).
fof(f181,plain,
( ! [X8] : ~ hascolor(n1,X8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl0_11
<=> ! [X8] : ~ hascolor(n1,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f797,plain,
( hascolor(n1,red)
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f796,f181]) ).
fof(f796,plain,
( hascolor(n1,green)
| hascolor(n1,red)
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f795,f181]) ).
fof(f795,plain,
( hascolor(n1,white)
| hascolor(n1,green)
| hascolor(n1,red)
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f792,f181]) ).
fof(f792,plain,
( hascolor(n1,yellow)
| hascolor(n1,white)
| hascolor(n1,green)
| hascolor(n1,red)
| ~ spl0_11 ),
inference(resolution,[],[f181,f76]) ).
fof(f789,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f787,f178]) ).
fof(f178,plain,
( ! [X24] : ~ haspet(n2,X24)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl0_10
<=> ! [X24] : ~ haspet(n2,X24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f787,plain,
( haspet(n2,camel)
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f786,f178]) ).
fof(f786,plain,
( haspet(n2,rat)
| haspet(n2,camel)
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f785,f178]) ).
fof(f785,plain,
( haspet(n2,guppy)
| haspet(n2,rat)
| haspet(n2,camel)
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f783,f178]) ).
fof(f783,plain,
( haspet(n2,toad)
| haspet(n2,guppy)
| haspet(n2,rat)
| haspet(n2,camel)
| ~ spl0_10 ),
inference(resolution,[],[f178,f82]) ).
fof(f781,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f779,f175]) ).
fof(f175,plain,
( ! [X26] : ~ haspet(n4,X26)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl0_9
<=> ! [X26] : ~ haspet(n4,X26) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f779,plain,
( haspet(n4,camel)
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f778,f175]) ).
fof(f778,plain,
( haspet(n4,rat)
| haspet(n4,camel)
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f777,f175]) ).
fof(f777,plain,
( haspet(n4,guppy)
| haspet(n4,rat)
| haspet(n4,camel)
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f775,f175]) ).
fof(f775,plain,
( haspet(n4,toad)
| haspet(n4,guppy)
| haspet(n4,rat)
| haspet(n4,camel)
| ~ spl0_9 ),
inference(resolution,[],[f175,f82]) ).
fof(f773,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f771,f172]) ).
fof(f172,plain,
( ! [X25] : ~ haspet(n3,X25)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_8
<=> ! [X25] : ~ haspet(n3,X25) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f771,plain,
( haspet(n3,camel)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f770,f172]) ).
fof(f770,plain,
( haspet(n3,rat)
| haspet(n3,camel)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f769,f172]) ).
fof(f769,plain,
( haspet(n3,guppy)
| haspet(n3,rat)
| haspet(n3,camel)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f767,f172]) ).
fof(f767,plain,
( haspet(n3,toad)
| haspet(n3,guppy)
| haspet(n3,rat)
| haspet(n3,camel)
| ~ spl0_8 ),
inference(resolution,[],[f172,f82]) ).
fof(f760,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f759,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f758,f169]) ).
fof(f169,plain,
( ! [X27] : ~ haspet(n5,X27)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl0_7
<=> ! [X27] : ~ haspet(n5,X27) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f758,plain,
( haspet(n5,camel)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f757,f169]) ).
fof(f757,plain,
( haspet(n5,rat)
| haspet(n5,camel)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f756,f169]) ).
fof(f756,plain,
( haspet(n5,guppy)
| haspet(n5,rat)
| haspet(n5,camel)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f755,f169]) ).
fof(f755,plain,
( haspet(n5,toad)
| haspet(n5,guppy)
| haspet(n5,rat)
| haspet(n5,camel)
| ~ spl0_7 ),
inference(resolution,[],[f82,f169]) ).
fof(f630,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f628,f157]) ).
fof(f157,plain,
( ! [X20] : ~ hasgame(n3,X20)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl0_3
<=> ! [X20] : ~ hasgame(n3,X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f628,plain,
( hasgame(n3,racquetball)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f627,f157]) ).
fof(f627,plain,
( hasgame(n3,quoits)
| hasgame(n3,racquetball)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f626,f157]) ).
fof(f626,plain,
( hasgame(n3,backgammon)
| hasgame(n3,quoits)
| hasgame(n3,racquetball)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f625,f157]) ).
fof(f625,plain,
( hasgame(n3,solitaire)
| hasgame(n3,backgammon)
| hasgame(n3,quoits)
| hasgame(n3,racquetball)
| ~ spl0_3 ),
inference(resolution,[],[f157,f80]) ).
fof(f624,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f622,f154]) ).
fof(f154,plain,
( ! [X22] : ~ hasgame(n5,X22)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_2
<=> ! [X22] : ~ hasgame(n5,X22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f622,plain,
( hasgame(n5,racquetball)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f621,f154]) ).
fof(f621,plain,
( hasgame(n5,quoits)
| hasgame(n5,racquetball)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f620,f154]) ).
fof(f620,plain,
( hasgame(n5,backgammon)
| hasgame(n5,quoits)
| hasgame(n5,racquetball)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f618,f154]) ).
fof(f618,plain,
( hasgame(n5,solitaire)
| hasgame(n5,backgammon)
| hasgame(n5,quoits)
| hasgame(n5,racquetball)
| ~ spl0_2 ),
inference(resolution,[],[f154,f80]) ).
fof(f616,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f614,f160]) ).
fof(f160,plain,
( ! [X21] : ~ hasgame(n4,X21)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_4
<=> ! [X21] : ~ hasgame(n4,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f614,plain,
( hasgame(n4,racquetball)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f613,f160]) ).
fof(f613,plain,
( hasgame(n4,quoits)
| hasgame(n4,racquetball)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f612,f160]) ).
fof(f612,plain,
( hasgame(n4,backgammon)
| hasgame(n4,quoits)
| hasgame(n4,racquetball)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f611,f160]) ).
fof(f611,plain,
( hasgame(n4,solitaire)
| hasgame(n4,backgammon)
| hasgame(n4,quoits)
| hasgame(n4,racquetball)
| ~ spl0_4 ),
inference(resolution,[],[f80,f160]) ).
fof(f224,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f148,f222,f219,f216,f213,f210,f207,f204,f201,f198,f195,f192,f189,f186,f183,f180,f177,f174,f171,f168,f165,f162,f159,f156,f153,f150]) ).
fof(f148,axiom,
! [X2,X21,X11,X18,X6,X9,X16,X27,X15,X22,X25,X13,X20,X3,X10,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23] :
( ~ hasdrink(n2,X14)
| ~ hasdrink(n4,X16)
| ~ hasdrink(n3,X15)
| ~ hasdrink(n5,X17)
| ~ hasdrink(n1,X13)
| ~ hasperson(n4,X6)
| ~ hasperson(n2,X2)
| ~ hasperson(n3,X3)
| ~ hasperson(n5,X7)
| ~ hasperson(n1,X5)
| ~ hascolor(n2,X9)
| ~ hascolor(n4,X11)
| ~ hascolor(n3,X10)
| ~ hascolor(n5,X12)
| ~ hascolor(n1,X8)
| ~ haspet(n2,X24)
| ~ haspet(n4,X26)
| ~ haspet(n3,X25)
| ~ haspet(n5,X27)
| ~ haspet(n1,X23)
| ~ hasgame(n2,X19)
| ~ hasgame(n4,X21)
| ~ hasgame(n3,X20)
| ~ hasgame(n5,X22)
| ~ hasgame(n1,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_out_house_details) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ017-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n004.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:03:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (31180)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (31183)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (31182)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (31186)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (31184)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (31187)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (31188)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (31185)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [5,5,5,5,5,5]
% 0.15/0.38 TRYING [1,1,1,1,1,1]
% 0.15/0.38 TRYING [2,1,1,1,1,2]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [30]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 Detected minimum model sizes of [1]
% 0.15/0.39 Detected maximum model sizes of [30]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2,1,1,1,2,2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 Detected minimum model sizes of [1,1,1,1,1,1]
% 0.15/0.39 Detected maximum model sizes of [5,5,5,5,5,5]
% 0.15/0.39 TRYING [1,1,1,1,1,1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,1,1,1,1,2]
% 0.15/0.39 TRYING [2,1,1,2,2,2]
% 0.15/0.39 % (31187)First to succeed.
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (31187)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31180"
% 0.15/0.39 TRYING [2,1,1,1,2,2]
% 0.15/0.39 TRYING [2,1,2,2,2,2]
% 0.15/0.39 % (31187)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (31187)------------------------------
% 0.15/0.39 % (31187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (31187)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (31187)Memory used [KB]: 1083
% 0.15/0.39 % (31187)Time elapsed: 0.014 s
% 0.15/0.39 % (31187)Instructions burned: 23 (million)
% 0.15/0.39 % (31180)Success in time 0.033 s
%------------------------------------------------------------------------------