%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n009.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 12:31:55 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.16s
% 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,blue)
| hascolor(X0,white)
| hascolor(X0,green)
| hascolor(X0,yellow)
| hascolor(X0,red) ),
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(f683,plain,
( haspet(n4,toad)
| haspet(n4,camel)
| haspet(n4,rat)
| haspet(n4,guppy)
| ~ spl0_2 ),
inference(resolution,[],[f82,f154]) ).
fof(f686,plain,
( haspet(n4,toad)
| haspet(n4,camel)
| haspet(n4,rat)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f683,f154]) ).
fof(f687,plain,
( haspet(n4,camel)
| haspet(n4,rat)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f686,f154]) ).
fof(f688,plain,
( haspet(n4,rat)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f687,f154]) ).
fof(f689,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f688,f154]) ).
fof(f690,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f691,plain,
( haspet(n3,toad)
| haspet(n3,camel)
| haspet(n3,rat)
| haspet(n3,guppy)
| ~ spl0_3 ),
inference(resolution,[],[f157,f82]) ).
fof(f692,plain,
( haspet(n3,toad)
| haspet(n3,camel)
| haspet(n3,rat)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f691,f157]) ).
fof(f693,plain,
( haspet(n3,camel)
| haspet(n3,rat)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f692,f157]) ).
fof(f694,plain,
( haspet(n3,rat)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f693,f157]) ).
fof(f695,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f694,f157]) ).
fof(f696,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f697,plain,
( haspet(n2,toad)
| haspet(n2,camel)
| haspet(n2,rat)
| haspet(n2,guppy)
| ~ spl0_4 ),
inference(resolution,[],[f160,f82]) ).
fof(f698,plain,
( haspet(n2,toad)
| haspet(n2,camel)
| haspet(n2,rat)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f697,f160]) ).
fof(f699,plain,
( haspet(n2,camel)
| haspet(n2,rat)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f698,f160]) ).
fof(f700,plain,
( haspet(n2,rat)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f699,f160]) ).
fof(f701,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f700,f160]) ).
fof(f702,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f703,plain,
( haspet(n1,toad)
| haspet(n1,camel)
| haspet(n1,rat)
| haspet(n1,guppy)
| ~ spl0_5 ),
inference(resolution,[],[f163,f82]) ).
fof(f704,plain,
( haspet(n1,toad)
| haspet(n1,camel)
| haspet(n1,rat)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f703,f163]) ).
fof(f705,plain,
( haspet(n1,camel)
| haspet(n1,rat)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f704,f163]) ).
fof(f706,plain,
( haspet(n1,rat)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f705,f163]) ).
fof(f707,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f706,f163]) ).
fof(f708,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f715,plain,
( hasgame(n4,racquetball)
| hasgame(n4,quoits)
| hasgame(n4,solitaire)
| hasgame(n4,backgammon)
| ~ spl0_7 ),
inference(resolution,[],[f169,f80]) ).
fof(f716,plain,
( hasgame(n4,racquetball)
| hasgame(n4,quoits)
| hasgame(n4,solitaire)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f715,f169]) ).
fof(f717,plain,
( hasgame(n4,quoits)
| hasgame(n4,solitaire)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f716,f169]) ).
fof(f718,plain,
( hasgame(n4,solitaire)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f717,f169]) ).
fof(f719,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f718,f169]) ).
fof(f720,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f721,plain,
( hasgame(n3,racquetball)
| hasgame(n3,quoits)
| hasgame(n3,solitaire)
| hasgame(n3,backgammon)
| ~ spl0_8 ),
inference(resolution,[],[f172,f80]) ).
fof(f722,plain,
( hasgame(n3,racquetball)
| hasgame(n3,quoits)
| hasgame(n3,solitaire)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f721,f172]) ).
fof(f723,plain,
( hasgame(n3,quoits)
| hasgame(n3,solitaire)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f722,f172]) ).
fof(f724,plain,
( hasgame(n3,solitaire)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f723,f172]) ).
fof(f725,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f724,f172]) ).
fof(f726,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f727,plain,
( hasgame(n2,racquetball)
| hasgame(n2,quoits)
| hasgame(n2,solitaire)
| hasgame(n2,backgammon)
| ~ spl0_9 ),
inference(resolution,[],[f175,f80]) ).
fof(f728,plain,
( hasgame(n2,racquetball)
| hasgame(n2,quoits)
| hasgame(n2,solitaire)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f727,f175]) ).
fof(f729,plain,
( hasgame(n2,quoits)
| hasgame(n2,solitaire)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f728,f175]) ).
fof(f730,plain,
( hasgame(n2,solitaire)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f729,f175]) ).
fof(f731,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f730,f175]) ).
fof(f732,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f733,plain,
( hasgame(n1,racquetball)
| hasgame(n1,quoits)
| hasgame(n1,solitaire)
| hasgame(n1,backgammon)
| ~ spl0_10 ),
inference(resolution,[],[f178,f80]) ).
fof(f734,plain,
( hasgame(n1,racquetball)
| hasgame(n1,quoits)
| hasgame(n1,solitaire)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f733,f178]) ).
fof(f735,plain,
( hasgame(n1,quoits)
| hasgame(n1,solitaire)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f734,f178]) ).
fof(f736,plain,
( hasgame(n1,solitaire)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f735,f178]) ).
fof(f737,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f736,f178]) ).
fof(f738,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f741,plain,
( hasdrink(n5,coffee)
| hasdrink(n5,milk)
| hasdrink(n5,vodka)
| hasdrink(n5,lemonade)
| ~ spl0_11 ),
inference(resolution,[],[f181,f78]) ).
fof(f743,plain,
( hasdrink(n5,coffee)
| hasdrink(n5,milk)
| hasdrink(n5,vodka)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f741,f181]) ).
fof(f744,plain,
( hasdrink(n5,milk)
| hasdrink(n5,vodka)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f743,f181]) ).
fof(f745,plain,
( hasdrink(n5,vodka)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f744,f181]) ).
fof(f746,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f745,f181]) ).
fof(f747,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f748,plain,
( hasdrink(n4,coffee)
| hasdrink(n4,milk)
| hasdrink(n4,vodka)
| hasdrink(n4,lemonade)
| ~ spl0_12 ),
inference(resolution,[],[f184,f78]) ).
fof(f749,plain,
( hasdrink(n4,coffee)
| hasdrink(n4,milk)
| hasdrink(n4,vodka)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f748,f184]) ).
fof(f750,plain,
( hasdrink(n4,milk)
| hasdrink(n4,vodka)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f749,f184]) ).
fof(f751,plain,
( hasdrink(n4,vodka)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f750,f184]) ).
fof(f752,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f751,f184]) ).
fof(f753,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f754,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f187,f146]) ).
fof(f756,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f757,plain,
( hasdrink(n2,coffee)
| hasdrink(n2,milk)
| hasdrink(n2,vodka)
| hasdrink(n2,lemonade)
| ~ spl0_14 ),
inference(resolution,[],[f190,f78]) ).
fof(f758,plain,
( hasdrink(n2,coffee)
| hasdrink(n2,milk)
| hasdrink(n2,vodka)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f757,f190]) ).
fof(f759,plain,
( hasdrink(n2,milk)
| hasdrink(n2,vodka)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f758,f190]) ).
fof(f760,plain,
( hasdrink(n2,vodka)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f759,f190]) ).
fof(f761,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f760,f190]) ).
fof(f762,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f763,plain,
( hasdrink(n1,coffee)
| hasdrink(n1,milk)
| hasdrink(n1,vodka)
| hasdrink(n1,lemonade)
| ~ spl0_15 ),
inference(resolution,[],[f193,f78]) ).
fof(f764,plain,
( hasdrink(n1,coffee)
| hasdrink(n1,milk)
| hasdrink(n1,vodka)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f763,f193]) ).
fof(f765,plain,
( hasdrink(n1,milk)
| hasdrink(n1,vodka)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f764,f193]) ).
fof(f766,plain,
( hasdrink(n1,vodka)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f765,f193]) ).
fof(f767,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f766,f193]) ).
fof(f768,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f771,plain,
( hascolor(n5,white)
| hascolor(n5,green)
| hascolor(n5,yellow)
| hascolor(n5,red)
| ~ spl0_16 ),
inference(resolution,[],[f196,f76]) ).
fof(f773,plain,
( hascolor(n5,white)
| hascolor(n5,green)
| hascolor(n5,yellow)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f771,f196]) ).
fof(f774,plain,
( hascolor(n5,green)
| hascolor(n5,yellow)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f773,f196]) ).
fof(f775,plain,
( hascolor(n5,yellow)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f774,f196]) ).
fof(f776,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f775,f196]) ).
fof(f777,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f778,plain,
( hascolor(n4,white)
| hascolor(n4,green)
| hascolor(n4,yellow)
| hascolor(n4,red)
| ~ spl0_17 ),
inference(resolution,[],[f199,f76]) ).
fof(f779,plain,
( hascolor(n4,white)
| hascolor(n4,green)
| hascolor(n4,yellow)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f778,f199]) ).
fof(f780,plain,
( hascolor(n4,green)
| hascolor(n4,yellow)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f779,f199]) ).
fof(f781,plain,
( hascolor(n4,yellow)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f780,f199]) ).
fof(f782,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f781,f199]) ).
fof(f783,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f784,plain,
( hascolor(n3,white)
| hascolor(n3,green)
| hascolor(n3,yellow)
| hascolor(n3,red)
| ~ spl0_18 ),
inference(resolution,[],[f202,f76]) ).
fof(f785,plain,
( hascolor(n3,white)
| hascolor(n3,green)
| hascolor(n3,yellow)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f784,f202]) ).
fof(f786,plain,
( hascolor(n3,green)
| hascolor(n3,yellow)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f785,f202]) ).
fof(f787,plain,
( hascolor(n3,yellow)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f786,f202]) ).
fof(f788,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f787,f202]) ).
fof(f789,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f791,plain,
( hascolor(n2,white)
| hascolor(n2,green)
| hascolor(n2,yellow)
| hascolor(n2,red)
| ~ spl0_19 ),
inference(resolution,[],[f205,f76]) ).
fof(f793,plain,
( hascolor(n2,white)
| hascolor(n2,green)
| hascolor(n2,yellow)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f791,f205]) ).
fof(f794,plain,
( hascolor(n2,green)
| hascolor(n2,yellow)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f793,f205]) ).
fof(f795,plain,
( hascolor(n2,yellow)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f794,f205]) ).
fof(f796,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f795,f205]) ).
fof(f797,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f805,plain,
( hasperson(n5,italian)
| hasperson(n5,swede)
| hasperson(n5,russian)
| hasperson(n5,englishman)
| ~ spl0_21 ),
inference(resolution,[],[f211,f74]) ).
fof(f806,plain,
( hasperson(n5,italian)
| hasperson(n5,swede)
| hasperson(n5,russian)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f805,f211]) ).
fof(f807,plain,
( hasperson(n5,swede)
| hasperson(n5,russian)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f806,f211]) ).
fof(f808,plain,
( hasperson(n5,russian)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f807,f211]) ).
fof(f809,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f808,f211]) ).
fof(f810,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f811,plain,
( hasperson(n4,italian)
| hasperson(n4,swede)
| hasperson(n4,russian)
| hasperson(n4,englishman)
| ~ spl0_22 ),
inference(resolution,[],[f214,f74]) ).
fof(f812,plain,
( hasperson(n4,italian)
| hasperson(n4,swede)
| hasperson(n4,russian)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f811,f214]) ).
fof(f813,plain,
( hasperson(n4,swede)
| hasperson(n4,russian)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f812,f214]) ).
fof(f814,plain,
( hasperson(n4,russian)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f813,f214]) ).
fof(f815,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f814,f214]) ).
fof(f816,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f817,plain,
( hasperson(n3,italian)
| hasperson(n3,swede)
| hasperson(n3,russian)
| hasperson(n3,englishman)
| ~ spl0_23 ),
inference(resolution,[],[f217,f74]) ).
fof(f818,plain,
( hasperson(n3,italian)
| hasperson(n3,swede)
| hasperson(n3,russian)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f817,f217]) ).
fof(f819,plain,
( hasperson(n3,swede)
| hasperson(n3,russian)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f818,f217]) ).
fof(f820,plain,
( hasperson(n3,russian)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f819,f217]) ).
fof(f821,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f820,f217]) ).
fof(f822,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f823,plain,
( hasperson(n2,italian)
| hasperson(n2,swede)
| hasperson(n2,russian)
| hasperson(n2,englishman)
| ~ spl0_24 ),
inference(resolution,[],[f220,f74]) ).
fof(f824,plain,
( hasperson(n2,italian)
| hasperson(n2,swede)
| hasperson(n2,russian)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f823,f220]) ).
fof(f825,plain,
( hasperson(n2,swede)
| hasperson(n2,russian)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f824,f220]) ).
fof(f826,plain,
( hasperson(n2,russian)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f825,f220]) ).
fof(f827,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f826,f220]) ).
fof(f828,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f829,plain,
( $false
| ~ spl0_25 ),
inference(resolution,[],[f223,f147]) ).
fof(f831,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f832,plain,
( hascolor(n1,white)
| hascolor(n1,green)
| hascolor(n1,yellow)
| hascolor(n1,red)
| ~ spl0_20 ),
inference(resolution,[],[f208,f76]) ).
fof(f833,plain,
( hascolor(n1,white)
| hascolor(n1,green)
| hascolor(n1,yellow)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f832,f208]) ).
fof(f834,plain,
( hascolor(n1,green)
| hascolor(n1,yellow)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f833,f208]) ).
fof(f835,plain,
( hascolor(n1,yellow)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f834,f208]) ).
fof(f836,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f835,f208]) ).
fof(f837,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f839,plain,
( hasgame(n5,racquetball)
| hasgame(n5,quoits)
| hasgame(n5,solitaire)
| hasgame(n5,backgammon)
| ~ spl0_6 ),
inference(resolution,[],[f166,f80]) ).
fof(f840,plain,
( hasgame(n5,racquetball)
| hasgame(n5,quoits)
| hasgame(n5,solitaire)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f839,f166]) ).
fof(f841,plain,
( hasgame(n5,quoits)
| hasgame(n5,solitaire)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f840,f166]) ).
fof(f842,plain,
( hasgame(n5,solitaire)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f841,f166]) ).
fof(f843,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f842,f166]) ).
fof(f844,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f846,plain,
( haspet(n5,toad)
| haspet(n5,camel)
| haspet(n5,rat)
| haspet(n5,guppy)
| ~ spl0_1 ),
inference(resolution,[],[f151,f82]) ).
fof(f848,plain,
( haspet(n5,toad)
| haspet(n5,camel)
| haspet(n5,rat)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f846,f151]) ).
fof(f849,plain,
( haspet(n5,camel)
| haspet(n5,rat)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f848,f151]) ).
fof(f850,plain,
( haspet(n5,rat)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f849,f151]) ).
fof(f851,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f850,f151]) ).
fof(f852,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f851]) ).
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(s22,plain,
~ spl0_2,
inference(sat_conversion,[],[f690]) ).
cnf(s23,plain,
~ spl0_3,
inference(sat_conversion,[],[f696]) ).
cnf(s24,plain,
~ spl0_4,
inference(sat_conversion,[],[f702]) ).
cnf(s25,plain,
~ spl0_5,
inference(sat_conversion,[],[f708]) ).
cnf(s28,plain,
~ spl0_7,
inference(sat_conversion,[],[f720]) ).
cnf(s29,plain,
~ spl0_8,
inference(sat_conversion,[],[f726]) ).
cnf(s30,plain,
~ spl0_9,
inference(sat_conversion,[],[f732]) ).
cnf(s31,plain,
~ spl0_10,
inference(sat_conversion,[],[f738]) ).
cnf(s33,plain,
~ spl0_11,
inference(sat_conversion,[],[f747]) ).
cnf(s34,plain,
~ spl0_12,
inference(sat_conversion,[],[f753]) ).
cnf(s35,plain,
~ spl0_13,
inference(sat_conversion,[],[f756]) ).
cnf(s36,plain,
~ spl0_14,
inference(sat_conversion,[],[f762]) ).
cnf(s37,plain,
~ spl0_15,
inference(sat_conversion,[],[f768]) ).
cnf(s39,plain,
~ spl0_16,
inference(sat_conversion,[],[f777]) ).
cnf(s40,plain,
~ spl0_17,
inference(sat_conversion,[],[f783]) ).
cnf(s41,plain,
~ spl0_18,
inference(sat_conversion,[],[f789]) ).
cnf(s43,plain,
~ spl0_19,
inference(sat_conversion,[],[f797]) ).
cnf(s45,plain,
~ spl0_21,
inference(sat_conversion,[],[f810]) ).
cnf(s46,plain,
~ spl0_22,
inference(sat_conversion,[],[f816]) ).
cnf(s47,plain,
~ spl0_23,
inference(sat_conversion,[],[f822]) ).
cnf(s48,plain,
~ spl0_24,
inference(sat_conversion,[],[f828]) ).
cnf(s49,plain,
~ spl0_25,
inference(sat_conversion,[],[f831]) ).
cnf(s51,plain,
~ spl0_20,
inference(sat_conversion,[],[f837]) ).
cnf(s52,plain,
~ spl0_6,
inference(sat_conversion,[],[f844]) ).
cnf(s54,plain,
~ spl0_1,
inference(sat_conversion,[],[f852]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s1,s49,s48,s47,s46,s45,s51,s43,s41,s40,s39,s37,s36,s35,s34,s33,s31,s30,s29,s28,s52,s25,s24,s23,s22,s54]) ).
fof(f853,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:30:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46 % (2473031)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2473041)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3238451419:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2473037)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2473036)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1648705579_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2473038)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3341627241:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2473039)dis+10_1_sil=32000:sp=arity:random_seed=3371074749:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2473040)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3179342277:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2473042)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=863108958:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (2473037)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1840946021:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % Detected minimum model sizes of [1]
% 0.10/0.46 % Detected maximum model sizes of [30]
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % (2473039) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2473031-2473039"...
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (2473039)...printing done.
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (2473039)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (2473039)------------------------------
% 0.16/0.46 % (2473039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (2473039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (2473039)CaDiCaL version: 2.1.3
% 0.16/0.46 % (2473039)Termination reason: Refutation
% 0.16/0.46 % (2473039)Time elapsed: 0.011 s
% 0.16/0.46 % (2473039)Peak memory usage: 12 MB
% 0.16/0.46 % (2473039)Instructions burned: 15 (million)
% 0.16/0.46 % (2473031)Success in time 0.049 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------