%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ017-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:13 PM UTC 2026
% Result : Unsatisfiable 2.46s 1.17s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 229 ( 54 unt; 25 def)
% Number of atoms : 626 ( 0 equ)
% Maximal formula atoms : 25 ( 2 avg)
% Number of connectives : 664 ( 267 ~; 372 |; 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 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,axiom,
! [X0] :
( hasperson(X0,american)
| hasperson(X0,italian)
| hasperson(X0,swede)
| hasperson(X0,russian)
| hasperson(X0,englishman) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_national) ).
fof(f76,axiom,
! [X0] :
( hascolor(X0,red)
| hascolor(X0,white)
| hascolor(X0,green)
| hascolor(X0,yellow)
| hascolor(X0,blue) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_color) ).
fof(f78,axiom,
! [X0] :
( hasdrink(X0,unknown_drink)
| hasdrink(X0,coffee)
| hasdrink(X0,milk)
| hasdrink(X0,vodka)
| hasdrink(X0,lemonade) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_drink) ).
fof(f80,axiom,
! [X0] :
( hasgame(X0,charades)
| hasgame(X0,racquetball)
| hasgame(X0,quoits)
| hasgame(X0,solitaire)
| hasgame(X0,backgammon) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_game) ).
fof(f82,axiom,
! [X0] :
( haspet(X0,no_pet)
| haspet(X0,toad)
| haspet(X0,camel)
| haspet(X0,rat)
| haspet(X0,guppy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_house_has_a_pet) ).
fof(f146,axiom,
hasdrink(n3,milk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_3_has_milk) ).
fof(f147,axiom,
hasperson(n1,russian),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_1_has_russian) ).
fof(f148,negated_conjecture,
! [X2,X21,X0,X11,X18,X6,X9,X16,X4,X15,X22,X13,X20,X3,X10,X1,X8,X19,X7,X14,X17,X24,X5,X12,X23] :
( ~ hasperson(n1,X0)
| ~ hasperson(n2,X1)
| ~ hasperson(n3,X2)
| ~ hasperson(n4,X3)
| ~ hasperson(n5,X4)
| ~ hascolor(n1,X5)
| ~ hascolor(n2,X6)
| ~ hascolor(n3,X7)
| ~ hascolor(n4,X8)
| ~ hascolor(n5,X9)
| ~ hasdrink(n1,X10)
| ~ hasdrink(n2,X11)
| ~ hasdrink(n3,X12)
| ~ hasdrink(n4,X13)
| ~ hasdrink(n5,X14)
| ~ hasgame(n1,X15)
| ~ hasgame(n2,X16)
| ~ hasgame(n3,X17)
| ~ hasgame(n4,X18)
| ~ hasgame(n5,X19)
| ~ haspet(n1,X20)
| ~ haspet(n2,X21)
| ~ haspet(n3,X22)
| ~ haspet(n4,X23)
| ~ haspet(n5,X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_out_house_details) ).
fof(f150,definition,
( spl0_1
<=> ! [X24] : ~ haspet(n5,X24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f151,plain,
( ! [X24] : ~ haspet(n5,X24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,definition,
( spl0_2
<=> ! [X23] : ~ haspet(n4,X23) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f154,plain,
( ! [X23] : ~ haspet(n4,X23)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,definition,
( spl0_3
<=> ! [X22] : ~ haspet(n3,X22) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f157,plain,
( ! [X22] : ~ haspet(n3,X22)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,definition,
( spl0_4
<=> ! [X21] : ~ haspet(n2,X21) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f160,plain,
( ! [X21] : ~ haspet(n2,X21)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,definition,
( spl0_5
<=> ! [X20] : ~ haspet(n1,X20) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f163,plain,
( ! [X20] : ~ haspet(n1,X20)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,definition,
( spl0_6
<=> ! [X19] : ~ hasgame(n5,X19) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f166,plain,
( ! [X19] : ~ hasgame(n5,X19)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,definition,
( spl0_7
<=> ! [X18] : ~ hasgame(n4,X18) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f169,plain,
( ! [X18] : ~ hasgame(n4,X18)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,definition,
( spl0_8
<=> ! [X17] : ~ hasgame(n3,X17) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f172,plain,
( ! [X17] : ~ hasgame(n3,X17)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,definition,
( spl0_9
<=> ! [X16] : ~ hasgame(n2,X16) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f175,plain,
( ! [X16] : ~ hasgame(n2,X16)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,definition,
( spl0_10
<=> ! [X15] : ~ hasgame(n1,X15) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f178,plain,
( ! [X15] : ~ hasgame(n1,X15)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,definition,
( spl0_11
<=> ! [X14] : ~ hasdrink(n5,X14) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f181,plain,
( ! [X14] : ~ hasdrink(n5,X14)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,definition,
( spl0_12
<=> ! [X13] : ~ hasdrink(n4,X13) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f184,plain,
( ! [X13] : ~ hasdrink(n4,X13)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,definition,
( spl0_13
<=> ! [X12] : ~ hasdrink(n3,X12) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f187,plain,
( ! [X12] : ~ hasdrink(n3,X12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,definition,
( spl0_14
<=> ! [X11] : ~ hasdrink(n2,X11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f190,plain,
( ! [X11] : ~ hasdrink(n2,X11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f192,definition,
( spl0_15
<=> ! [X10] : ~ hasdrink(n1,X10) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f193,plain,
( ! [X10] : ~ hasdrink(n1,X10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,definition,
( spl0_16
<=> ! [X9] : ~ hascolor(n5,X9) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f196,plain,
( ! [X9] : ~ hascolor(n5,X9)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,definition,
( spl0_17
<=> ! [X8] : ~ hascolor(n4,X8) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f199,plain,
( ! [X8] : ~ hascolor(n4,X8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,definition,
( spl0_18
<=> ! [X7] : ~ hascolor(n3,X7) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f202,plain,
( ! [X7] : ~ hascolor(n3,X7)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl0_19
<=> ! [X6] : ~ hascolor(n2,X6) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f205,plain,
( ! [X6] : ~ hascolor(n2,X6)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,definition,
( spl0_20
<=> ! [X5] : ~ hascolor(n1,X5) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f208,plain,
( ! [X5] : ~ hascolor(n1,X5)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,definition,
( spl0_21
<=> ! [X4] : ~ hasperson(n5,X4) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f211,plain,
( ! [X4] : ~ hasperson(n5,X4)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,definition,
( spl0_22
<=> ! [X3] : ~ hasperson(n4,X3) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f214,plain,
( ! [X3] : ~ hasperson(n4,X3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,definition,
( spl0_23
<=> ! [X2] : ~ hasperson(n3,X2) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f217,plain,
( ! [X2] : ~ hasperson(n3,X2)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,definition,
( spl0_24
<=> ! [X1] : ~ hasperson(n2,X1) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f220,plain,
( ! [X1] : ~ hasperson(n2,X1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,definition,
( spl0_25
<=> ! [X0] : ~ hasperson(n1,X0) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f223,plain,
( ! [X0] : ~ hasperson(n1,X0)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f222]) ).
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(f545,plain,
( haspet(n4,toad)
| haspet(n4,camel)
| haspet(n4,rat)
| haspet(n4,guppy)
| ~ spl0_2 ),
inference(resolution,[],[f82,f154]) ).
fof(f548,plain,
( haspet(n4,toad)
| haspet(n4,camel)
| haspet(n4,rat)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f545,f154]) ).
fof(f549,plain,
( haspet(n4,camel)
| haspet(n4,rat)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f548,f154]) ).
fof(f550,plain,
( haspet(n4,rat)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f549,f154]) ).
fof(f551,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f550,f154]) ).
fof(f552,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f553,plain,
( haspet(n3,toad)
| haspet(n3,camel)
| haspet(n3,rat)
| haspet(n3,guppy)
| ~ spl0_3 ),
inference(resolution,[],[f157,f82]) ).
fof(f554,plain,
( haspet(n3,toad)
| haspet(n3,camel)
| haspet(n3,rat)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f553,f157]) ).
fof(f555,plain,
( haspet(n3,camel)
| haspet(n3,rat)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f554,f157]) ).
fof(f556,plain,
( haspet(n3,rat)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f555,f157]) ).
fof(f557,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f556,f157]) ).
fof(f558,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f559,plain,
( haspet(n2,toad)
| haspet(n2,camel)
| haspet(n2,rat)
| haspet(n2,guppy)
| ~ spl0_4 ),
inference(resolution,[],[f160,f82]) ).
fof(f560,plain,
( haspet(n2,toad)
| haspet(n2,camel)
| haspet(n2,rat)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f559,f160]) ).
fof(f561,plain,
( haspet(n2,camel)
| haspet(n2,rat)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f560,f160]) ).
fof(f562,plain,
( haspet(n2,rat)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f561,f160]) ).
fof(f563,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f562,f160]) ).
fof(f564,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f565,plain,
( haspet(n1,toad)
| haspet(n1,camel)
| haspet(n1,rat)
| haspet(n1,guppy)
| ~ spl0_5 ),
inference(resolution,[],[f163,f82]) ).
fof(f566,plain,
( haspet(n1,toad)
| haspet(n1,camel)
| haspet(n1,rat)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f565,f163]) ).
fof(f567,plain,
( haspet(n1,camel)
| haspet(n1,rat)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f566,f163]) ).
fof(f568,plain,
( haspet(n1,rat)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f567,f163]) ).
fof(f569,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f568,f163]) ).
fof(f570,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f576,plain,
( hasgame(n4,racquetball)
| hasgame(n4,quoits)
| hasgame(n4,solitaire)
| hasgame(n4,backgammon)
| ~ spl0_7 ),
inference(resolution,[],[f169,f80]) ).
fof(f578,plain,
( hasgame(n4,racquetball)
| hasgame(n4,quoits)
| hasgame(n4,solitaire)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f576,f169]) ).
fof(f579,plain,
( hasgame(n4,quoits)
| hasgame(n4,solitaire)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f578,f169]) ).
fof(f580,plain,
( hasgame(n4,solitaire)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f579,f169]) ).
fof(f581,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f580,f169]) ).
fof(f582,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f583,plain,
( hasgame(n3,racquetball)
| hasgame(n3,quoits)
| hasgame(n3,solitaire)
| hasgame(n3,backgammon)
| ~ spl0_8 ),
inference(resolution,[],[f172,f80]) ).
fof(f585,plain,
( hasgame(n3,racquetball)
| hasgame(n3,quoits)
| hasgame(n3,solitaire)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f583,f172]) ).
fof(f586,plain,
( hasgame(n3,quoits)
| hasgame(n3,solitaire)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f585,f172]) ).
fof(f587,plain,
( hasgame(n3,solitaire)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f586,f172]) ).
fof(f588,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f587,f172]) ).
fof(f589,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f590,plain,
( hasgame(n2,racquetball)
| hasgame(n2,quoits)
| hasgame(n2,solitaire)
| hasgame(n2,backgammon)
| ~ spl0_9 ),
inference(resolution,[],[f175,f80]) ).
fof(f592,plain,
( hasgame(n2,racquetball)
| hasgame(n2,quoits)
| hasgame(n2,solitaire)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f590,f175]) ).
fof(f593,plain,
( hasgame(n2,quoits)
| hasgame(n2,solitaire)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f592,f175]) ).
fof(f594,plain,
( hasgame(n2,solitaire)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f593,f175]) ).
fof(f595,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f594,f175]) ).
fof(f596,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f597,plain,
( hasgame(n1,racquetball)
| hasgame(n1,quoits)
| hasgame(n1,solitaire)
| hasgame(n1,backgammon)
| ~ spl0_10 ),
inference(resolution,[],[f178,f80]) ).
fof(f599,plain,
( hasgame(n1,racquetball)
| hasgame(n1,quoits)
| hasgame(n1,solitaire)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f597,f178]) ).
fof(f600,plain,
( hasgame(n1,quoits)
| hasgame(n1,solitaire)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f599,f178]) ).
fof(f601,plain,
( hasgame(n1,solitaire)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f600,f178]) ).
fof(f602,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f601,f178]) ).
fof(f603,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f606,plain,
( hasdrink(n5,coffee)
| hasdrink(n5,milk)
| hasdrink(n5,vodka)
| hasdrink(n5,lemonade)
| ~ spl0_11 ),
inference(resolution,[],[f181,f78]) ).
fof(f607,plain,
( hasdrink(n5,coffee)
| hasdrink(n5,milk)
| hasdrink(n5,vodka)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f606,f181]) ).
fof(f608,plain,
( hasdrink(n5,milk)
| hasdrink(n5,vodka)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f607,f181]) ).
fof(f609,plain,
( hasdrink(n5,vodka)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f608,f181]) ).
fof(f610,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f609,f181]) ).
fof(f611,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f613,plain,
( hasdrink(n4,coffee)
| hasdrink(n4,milk)
| hasdrink(n4,vodka)
| hasdrink(n4,lemonade)
| ~ spl0_12 ),
inference(resolution,[],[f184,f78]) ).
fof(f614,plain,
( hasdrink(n4,coffee)
| hasdrink(n4,milk)
| hasdrink(n4,vodka)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f613,f184]) ).
fof(f615,plain,
( hasdrink(n4,milk)
| hasdrink(n4,vodka)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f614,f184]) ).
fof(f616,plain,
( hasdrink(n4,vodka)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f615,f184]) ).
fof(f617,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f616,f184]) ).
fof(f618,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f619,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f187,f146]) ).
fof(f622,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f624,plain,
( hasdrink(n2,coffee)
| hasdrink(n2,milk)
| hasdrink(n2,vodka)
| hasdrink(n2,lemonade)
| ~ spl0_14 ),
inference(resolution,[],[f190,f78]) ).
fof(f625,plain,
( hasdrink(n2,coffee)
| hasdrink(n2,milk)
| hasdrink(n2,vodka)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f624,f190]) ).
fof(f626,plain,
( hasdrink(n2,milk)
| hasdrink(n2,vodka)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f625,f190]) ).
fof(f627,plain,
( hasdrink(n2,vodka)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f626,f190]) ).
fof(f628,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f627,f190]) ).
fof(f629,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f631,plain,
( hasdrink(n1,coffee)
| hasdrink(n1,milk)
| hasdrink(n1,vodka)
| hasdrink(n1,lemonade)
| ~ spl0_15 ),
inference(resolution,[],[f193,f78]) ).
fof(f632,plain,
( hasdrink(n1,coffee)
| hasdrink(n1,milk)
| hasdrink(n1,vodka)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f631,f193]) ).
fof(f633,plain,
( hasdrink(n1,milk)
| hasdrink(n1,vodka)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f632,f193]) ).
fof(f634,plain,
( hasdrink(n1,vodka)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f633,f193]) ).
fof(f635,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f634,f193]) ).
fof(f636,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f638,plain,
( hascolor(n5,white)
| hascolor(n5,green)
| hascolor(n5,yellow)
| hascolor(n5,blue)
| ~ spl0_16 ),
inference(resolution,[],[f196,f76]) ).
fof(f640,plain,
( hascolor(n5,white)
| hascolor(n5,green)
| hascolor(n5,yellow)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f638,f196]) ).
fof(f641,plain,
( hascolor(n5,white)
| hascolor(n5,green)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f640,f196]) ).
fof(f642,plain,
( hascolor(n5,white)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f641,f196]) ).
fof(f643,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f642,f196]) ).
fof(f644,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f645,plain,
( hascolor(n4,white)
| hascolor(n4,green)
| hascolor(n4,yellow)
| hascolor(n4,blue)
| ~ spl0_17 ),
inference(resolution,[],[f199,f76]) ).
fof(f647,plain,
( hascolor(n4,white)
| hascolor(n4,green)
| hascolor(n4,yellow)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f645,f199]) ).
fof(f648,plain,
( hascolor(n4,white)
| hascolor(n4,green)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f647,f199]) ).
fof(f649,plain,
( hascolor(n4,white)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f648,f199]) ).
fof(f650,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f649,f199]) ).
fof(f651,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f652,plain,
( hascolor(n3,white)
| hascolor(n3,green)
| hascolor(n3,yellow)
| hascolor(n3,blue)
| ~ spl0_18 ),
inference(resolution,[],[f202,f76]) ).
fof(f654,plain,
( hascolor(n3,white)
| hascolor(n3,green)
| hascolor(n3,yellow)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f652,f202]) ).
fof(f655,plain,
( hascolor(n3,white)
| hascolor(n3,green)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f654,f202]) ).
fof(f656,plain,
( hascolor(n3,white)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f655,f202]) ).
fof(f657,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f656,f202]) ).
fof(f658,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f659,plain,
( hascolor(n2,white)
| hascolor(n2,green)
| hascolor(n2,yellow)
| hascolor(n2,blue)
| ~ spl0_19 ),
inference(resolution,[],[f205,f76]) ).
fof(f661,plain,
( hascolor(n2,white)
| hascolor(n2,green)
| hascolor(n2,yellow)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f659,f205]) ).
fof(f662,plain,
( hascolor(n2,white)
| hascolor(n2,green)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f661,f205]) ).
fof(f663,plain,
( hascolor(n2,white)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f662,f205]) ).
fof(f664,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f663,f205]) ).
fof(f665,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f673,plain,
( hasperson(n5,italian)
| hasperson(n5,swede)
| hasperson(n5,russian)
| hasperson(n5,englishman)
| ~ spl0_21 ),
inference(resolution,[],[f211,f74]) ).
fof(f675,plain,
( hasperson(n5,italian)
| hasperson(n5,swede)
| hasperson(n5,russian)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f673,f211]) ).
fof(f676,plain,
( hasperson(n5,swede)
| hasperson(n5,russian)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f675,f211]) ).
fof(f677,plain,
( hasperson(n5,russian)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f676,f211]) ).
fof(f678,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f677,f211]) ).
fof(f679,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f682,plain,
( hasperson(n4,italian)
| hasperson(n4,swede)
| hasperson(n4,russian)
| hasperson(n4,englishman)
| ~ spl0_22 ),
inference(resolution,[],[f214,f74]) ).
fof(f684,plain,
( hasperson(n4,italian)
| hasperson(n4,swede)
| hasperson(n4,russian)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f682,f214]) ).
fof(f685,plain,
( hasperson(n4,swede)
| hasperson(n4,russian)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f684,f214]) ).
fof(f686,plain,
( hasperson(n4,russian)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f685,f214]) ).
fof(f687,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f686,f214]) ).
fof(f688,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f691,plain,
( hasperson(n3,italian)
| hasperson(n3,swede)
| hasperson(n3,russian)
| hasperson(n3,englishman)
| ~ spl0_23 ),
inference(resolution,[],[f217,f74]) ).
fof(f693,plain,
( hasperson(n3,italian)
| hasperson(n3,swede)
| hasperson(n3,russian)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f691,f217]) ).
fof(f694,plain,
( hasperson(n3,swede)
| hasperson(n3,russian)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f693,f217]) ).
fof(f695,plain,
( hasperson(n3,russian)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f694,f217]) ).
fof(f696,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f695,f217]) ).
fof(f697,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f700,plain,
( hasperson(n2,italian)
| hasperson(n2,swede)
| hasperson(n2,russian)
| hasperson(n2,englishman)
| ~ spl0_24 ),
inference(resolution,[],[f220,f74]) ).
fof(f702,plain,
( hasperson(n2,italian)
| hasperson(n2,swede)
| hasperson(n2,russian)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f700,f220]) ).
fof(f703,plain,
( hasperson(n2,swede)
| hasperson(n2,russian)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f702,f220]) ).
fof(f704,plain,
( hasperson(n2,russian)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f703,f220]) ).
fof(f705,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f704,f220]) ).
fof(f706,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f707,plain,
( $false
| ~ spl0_25 ),
inference(resolution,[],[f223,f147]) ).
fof(f712,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f713,plain,
( hascolor(n1,white)
| hascolor(n1,green)
| hascolor(n1,yellow)
| hascolor(n1,blue)
| ~ spl0_20 ),
inference(resolution,[],[f208,f76]) ).
fof(f715,plain,
( hascolor(n1,white)
| hascolor(n1,green)
| hascolor(n1,yellow)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f713,f208]) ).
fof(f716,plain,
( hascolor(n1,white)
| hascolor(n1,green)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f715,f208]) ).
fof(f717,plain,
( hascolor(n1,white)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f716,f208]) ).
fof(f718,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f717,f208]) ).
fof(f719,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f721,plain,
( hasgame(n5,racquetball)
| hasgame(n5,quoits)
| hasgame(n5,solitaire)
| hasgame(n5,backgammon)
| ~ spl0_6 ),
inference(resolution,[],[f166,f80]) ).
fof(f723,plain,
( hasgame(n5,racquetball)
| hasgame(n5,quoits)
| hasgame(n5,solitaire)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f721,f166]) ).
fof(f724,plain,
( hasgame(n5,quoits)
| hasgame(n5,solitaire)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f723,f166]) ).
fof(f725,plain,
( hasgame(n5,solitaire)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f724,f166]) ).
fof(f726,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f725,f166]) ).
fof(f727,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f729,plain,
( haspet(n5,toad)
| haspet(n5,camel)
| haspet(n5,rat)
| haspet(n5,guppy)
| ~ spl0_1 ),
inference(resolution,[],[f151,f82]) ).
fof(f731,plain,
( haspet(n5,toad)
| haspet(n5,camel)
| haspet(n5,rat)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f729,f151]) ).
fof(f732,plain,
( haspet(n5,camel)
| haspet(n5,rat)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f731,f151]) ).
fof(f733,plain,
( haspet(n5,rat)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f732,f151]) ).
fof(f734,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f733,f151]) ).
fof(f735,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f734]) ).
cnf(s1,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(sat_conversion,[],[f224]) ).
cnf(s18,plain,
~ spl0_2,
inference(sat_conversion,[],[f552]) ).
cnf(s19,plain,
~ spl0_3,
inference(sat_conversion,[],[f558]) ).
cnf(s20,plain,
~ spl0_4,
inference(sat_conversion,[],[f564]) ).
cnf(s21,plain,
~ spl0_5,
inference(sat_conversion,[],[f570]) ).
cnf(s23,plain,
~ spl0_7,
inference(sat_conversion,[],[f582]) ).
cnf(s24,plain,
~ spl0_8,
inference(sat_conversion,[],[f589]) ).
cnf(s25,plain,
~ spl0_9,
inference(sat_conversion,[],[f596]) ).
cnf(s26,plain,
~ spl0_10,
inference(sat_conversion,[],[f603]) ).
cnf(s27,plain,
~ spl0_11,
inference(sat_conversion,[],[f611]) ).
cnf(s28,plain,
~ spl0_12,
inference(sat_conversion,[],[f618]) ).
cnf(s29,plain,
~ spl0_13,
inference(sat_conversion,[],[f622]) ).
cnf(s30,plain,
~ spl0_14,
inference(sat_conversion,[],[f629]) ).
cnf(s31,plain,
~ spl0_15,
inference(sat_conversion,[],[f636]) ).
cnf(s32,plain,
~ spl0_16,
inference(sat_conversion,[],[f644]) ).
cnf(s33,plain,
~ spl0_17,
inference(sat_conversion,[],[f651]) ).
cnf(s34,plain,
~ spl0_18,
inference(sat_conversion,[],[f658]) ).
cnf(s35,plain,
~ spl0_19,
inference(sat_conversion,[],[f665]) ).
cnf(s37,plain,
~ spl0_21,
inference(sat_conversion,[],[f679]) ).
cnf(s38,plain,
~ spl0_22,
inference(sat_conversion,[],[f688]) ).
cnf(s39,plain,
~ spl0_23,
inference(sat_conversion,[],[f697]) ).
cnf(s40,plain,
~ spl0_24,
inference(sat_conversion,[],[f706]) ).
cnf(s41,plain,
~ spl0_25,
inference(sat_conversion,[],[f712]) ).
cnf(s42,plain,
~ spl0_20,
inference(sat_conversion,[],[f719]) ).
cnf(s43,plain,
~ spl0_6,
inference(sat_conversion,[],[f727]) ).
cnf(s45,plain,
~ spl0_1,
inference(sat_conversion,[],[f735]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s1,s41,s40,s39,s38,s37,s42,s35,s34,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s43,s21,s20,s19,s18,s45]) ).
fof(f736,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:30:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/1.17 % (3830654)Input is clausal, will run a generic CNF schedule.
% 2.46/1.17 % (3830665)dis-21_1_sil=8000:lcm=predicate:random_seed=3959396939:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.46/1.17 % (3830659)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1823720948:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.46/1.17 % (3830662)lrs+10_1_sil=8000:sp=occurrence:random_seed=2052594626:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.46/1.17 % (3830660)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4693377:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.46/1.17 % (3830661)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2889615158:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.46/1.17 % (3830665)Instruction limit reached!
% 2.46/1.17 % (3830665)------------------------------
% 2.46/1.17 % (3830665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.17 % (3830665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.17 % (3830665)CaDiCaL version: 2.1.3
% 2.46/1.17 % (3830665)Termination reason: Instruction limit
% 2.46/1.17 % (3830665)Termination phase: Saturation
% 2.46/1.17 % (3830665)Time elapsed: 0.041 s
% 2.46/1.17 % (3830665)Peak memory usage: 89 MB
% 2.46/1.17 % (3830665)Instructions burned: 120 (million)
% 2.46/1.17 % (3830664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2925612296:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.46/1.17 % (3830663)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2940450626:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.46/1.17 % (3830664)First to succeed.
% 2.46/1.17 % (3830663)Also succeeded, but the first one will report.
% 2.46/1.17 % (3830664)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3830654"
% 2.46/1.17 % (3830662)Also succeeded, but the first one will report.
% 2.46/1.17 % (3830671)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2530938088:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.46/1.17 % (3830671)Also succeeded, but the first one will report.
% 2.46/1.17 % (3830664)Refutation found. Thanks to Tanya!
% 2.46/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.46/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/1.36 % (3830664)------------------------------
% 2.91/1.36 % (3830664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.36 % (3830664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.36 % (3830664)CaDiCaL version: 2.1.3
% 2.91/1.36 % (3830664)Termination reason: Refutation
% 2.91/1.36 % (3830664)Time elapsed: 0.011 s
% 2.91/1.36 % (3830664)Peak memory usage: 89 MB
% 2.91/1.36 % (3830664)Instructions burned: 16 (million)
% 2.91/1.36 % (3830664)------------------------------
% 2.91/1.36 % (3830664)------------------------------
% 2.91/1.36 % (3830654)Success in time 0.333 s
% 2.91/1.36 % Vampire exiting
%------------------------------------------------------------------------------