%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ028-5 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:31:57 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 45
% Syntax : Number of formulae : 361 ( 45 unt; 30 def)
% Number of atoms : 900 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1147 ( 608 ~; 509 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 31 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
person(one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person1) ).
fof(f2,axiom,
person(two),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person2) ).
fof(f3,axiom,
person(three),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person3) ).
fof(f4,axiom,
person(four),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person4) ).
fof(f5,axiom,
person(five),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person5) ).
fof(f6,axiom,
person(six),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person6) ).
fof(f7,axiom,
after(one,two),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order1) ).
fof(f8,axiom,
after(two,three),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order2) ).
fof(f9,axiom,
after(three,four),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order3) ).
fof(f10,axiom,
after(four,five),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order4) ).
fof(f11,axiom,
after(five,six),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order5) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ after(X2,X1)
| ~ after(X0,X2)
| after(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order) ).
fof(f13,axiom,
! [X0,X1] :
( ~ after(X0,X1)
| not_familiar(X0,X1)
| ~ person(X0)
| ~ person(X1)
| familiar(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',familiar_or_not) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ familiar(X1,X2)
| ~ familiar(X0,X1)
| ~ familiar(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_familiar) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ not_familiar(X1,X2)
| ~ not_familiar(X0,X1)
| ~ not_familiar(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_not_familiar) ).
fof(f17,plain,
! [X0] :
( ~ after(X0,two)
| after(X0,three) ),
inference(resolution,[],[f12,f8]) ).
fof(f18,plain,
! [X0] :
( ~ after(X0,three)
| after(X0,four) ),
inference(resolution,[],[f12,f9]) ).
fof(f19,plain,
! [X0] :
( ~ after(X0,four)
| after(X0,five) ),
inference(resolution,[],[f12,f10]) ).
fof(f20,plain,
! [X0] :
( ~ after(X0,five)
| after(X0,six) ),
inference(resolution,[],[f12,f11]) ).
fof(f21,plain,
( not_familiar(one,two)
| ~ person(one)
| ~ person(two)
| familiar(one,two) ),
inference(resolution,[],[f13,f7]) ).
fof(f22,plain,
( not_familiar(two,three)
| ~ person(two)
| ~ person(three)
| familiar(two,three) ),
inference(resolution,[],[f13,f8]) ).
fof(f23,plain,
( not_familiar(three,four)
| ~ person(three)
| ~ person(four)
| familiar(three,four) ),
inference(resolution,[],[f13,f9]) ).
fof(f24,plain,
( not_familiar(four,five)
| ~ person(four)
| ~ person(five)
| familiar(four,five) ),
inference(resolution,[],[f13,f10]) ).
fof(f25,plain,
( not_familiar(five,six)
| ~ person(five)
| ~ person(six)
| familiar(five,six) ),
inference(resolution,[],[f13,f11]) ).
fof(f26,plain,
( not_familiar(five,six)
| ~ person(six)
| familiar(five,six) ),
inference(forward_subsumption_resolution,[],[f25,f5]) ).
fof(f27,plain,
( not_familiar(four,five)
| ~ person(five)
| familiar(four,five) ),
inference(forward_subsumption_resolution,[],[f24,f4]) ).
fof(f28,plain,
( not_familiar(three,four)
| ~ person(four)
| familiar(three,four) ),
inference(forward_subsumption_resolution,[],[f23,f3]) ).
fof(f29,plain,
( not_familiar(two,three)
| ~ person(three)
| familiar(two,three) ),
inference(forward_subsumption_resolution,[],[f22,f2]) ).
fof(f30,plain,
( not_familiar(one,two)
| ~ person(two)
| familiar(one,two) ),
inference(forward_subsumption_resolution,[],[f21,f1]) ).
fof(f31,plain,
( not_familiar(five,six)
| familiar(five,six) ),
inference(forward_subsumption_resolution,[],[f26,f6]) ).
fof(f32,plain,
( not_familiar(four,five)
| familiar(four,five) ),
inference(forward_subsumption_resolution,[],[f27,f5]) ).
fof(f33,plain,
( not_familiar(three,four)
| familiar(three,four) ),
inference(forward_subsumption_resolution,[],[f28,f4]) ).
fof(f34,plain,
( not_familiar(two,three)
| familiar(two,three) ),
inference(forward_subsumption_resolution,[],[f29,f3]) ).
fof(f35,plain,
( not_familiar(one,two)
| familiar(one,two) ),
inference(forward_subsumption_resolution,[],[f30,f2]) ).
fof(f37,definition,
( spl0_1
<=> familiar(five,six) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f39,plain,
( familiar(five,six)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl0_2
<=> not_familiar(five,six) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f43,plain,
( not_familiar(five,six)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f31,f41,f37]) ).
fof(f46,definition,
( spl0_3
<=> familiar(four,five) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f48,plain,
( familiar(four,five)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl0_4
<=> not_familiar(four,five) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f52,plain,
( not_familiar(four,five)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f32,f50,f46]) ).
fof(f55,definition,
( spl0_5
<=> familiar(three,four) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f57,plain,
( familiar(three,four)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_6
<=> not_familiar(three,four) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f61,plain,
( not_familiar(three,four)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f33,f59,f55]) ).
fof(f64,definition,
( spl0_7
<=> familiar(two,three) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f66,plain,
( familiar(two,three)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_8
<=> not_familiar(two,three) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f70,plain,
( not_familiar(two,three)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f34,f68,f64]) ).
fof(f73,definition,
( spl0_9
<=> familiar(one,two) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f75,plain,
( familiar(one,two)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_10
<=> not_familiar(one,two) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f79,plain,
( not_familiar(one,two)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f35,f77,f73]) ).
fof(f81,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,five) )
| ~ spl0_2 ),
inference(resolution,[],[f43,f15]) ).
fof(f82,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,four) )
| ~ spl0_3 ),
inference(resolution,[],[f48,f14]) ).
fof(f84,plain,
( ! [X0] :
( ~ familiar(X0,four)
| ~ familiar(X0,three) )
| ~ spl0_5 ),
inference(resolution,[],[f57,f14]) ).
fof(f85,plain,
( ! [X0] :
( ~ familiar(X0,three)
| ~ familiar(X0,two) )
| ~ spl0_7 ),
inference(resolution,[],[f66,f14]) ).
fof(f88,plain,
after(one,three),
inference(resolution,[],[f17,f7]) ).
fof(f90,plain,
after(two,four),
inference(resolution,[],[f18,f8]) ).
fof(f91,plain,
after(three,five),
inference(resolution,[],[f19,f9]) ).
fof(f93,plain,
after(four,six),
inference(resolution,[],[f20,f10]) ).
fof(f95,plain,
after(one,four),
inference(resolution,[],[f88,f18]) ).
fof(f96,plain,
( not_familiar(one,three)
| ~ person(one)
| ~ person(three)
| familiar(one,three) ),
inference(resolution,[],[f88,f13]) ).
fof(f98,plain,
( not_familiar(one,three)
| ~ person(three)
| familiar(one,three) ),
inference(forward_subsumption_resolution,[],[f96,f1]) ).
fof(f99,plain,
( not_familiar(one,three)
| familiar(one,three) ),
inference(forward_subsumption_resolution,[],[f98,f3]) ).
fof(f101,definition,
( spl0_11
<=> familiar(one,three) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f103,plain,
( familiar(one,three)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl0_12
<=> not_familiar(one,three) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f107,plain,
( not_familiar(one,three)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f99,f105,f101]) ).
fof(f109,plain,
after(two,five),
inference(resolution,[],[f90,f19]) ).
fof(f110,plain,
( not_familiar(two,four)
| ~ person(two)
| ~ person(four)
| familiar(two,four) ),
inference(resolution,[],[f90,f13]) ).
fof(f112,plain,
( not_familiar(two,four)
| ~ person(four)
| familiar(two,four) ),
inference(forward_subsumption_resolution,[],[f110,f2]) ).
fof(f113,plain,
( not_familiar(two,four)
| familiar(two,four) ),
inference(forward_subsumption_resolution,[],[f112,f4]) ).
fof(f115,definition,
( spl0_13
<=> familiar(two,four) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f117,plain,
( familiar(two,four)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f119,definition,
( spl0_14
<=> not_familiar(two,four) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f121,plain,
( not_familiar(two,four)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f113,f119,f115]) ).
fof(f123,plain,
after(three,six),
inference(resolution,[],[f91,f20]) ).
fof(f124,plain,
( not_familiar(three,five)
| ~ person(three)
| ~ person(five)
| familiar(three,five) ),
inference(resolution,[],[f91,f13]) ).
fof(f126,plain,
( not_familiar(three,five)
| ~ person(five)
| familiar(three,five) ),
inference(forward_subsumption_resolution,[],[f124,f3]) ).
fof(f127,plain,
( not_familiar(three,five)
| familiar(three,five) ),
inference(forward_subsumption_resolution,[],[f126,f5]) ).
fof(f129,definition,
( spl0_15
<=> familiar(three,five) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f131,plain,
( familiar(three,five)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f133,definition,
( spl0_16
<=> not_familiar(three,five) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f135,plain,
( not_familiar(three,five)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f127,f133,f129]) ).
fof(f137,plain,
( not_familiar(four,six)
| ~ person(four)
| ~ person(six)
| familiar(four,six) ),
inference(resolution,[],[f93,f13]) ).
fof(f138,plain,
! [X0] :
( ~ after(X0,four)
| after(X0,six) ),
inference(resolution,[],[f93,f12]) ).
fof(f139,plain,
( not_familiar(four,six)
| ~ person(six)
| familiar(four,six) ),
inference(forward_subsumption_resolution,[],[f137,f4]) ).
fof(f140,plain,
( not_familiar(four,six)
| familiar(four,six) ),
inference(forward_subsumption_resolution,[],[f139,f6]) ).
fof(f142,definition,
( spl0_17
<=> familiar(four,six) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f144,plain,
( familiar(four,six)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl0_18
<=> not_familiar(four,six) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f148,plain,
( not_familiar(four,six)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f140,f146,f142]) ).
fof(f150,plain,
after(one,five),
inference(resolution,[],[f95,f19]) ).
fof(f151,plain,
( not_familiar(one,four)
| ~ person(one)
| ~ person(four)
| familiar(one,four) ),
inference(resolution,[],[f95,f13]) ).
fof(f153,plain,
( not_familiar(one,four)
| ~ person(four)
| familiar(one,four) ),
inference(forward_subsumption_resolution,[],[f151,f1]) ).
fof(f154,plain,
( not_familiar(one,four)
| familiar(one,four) ),
inference(forward_subsumption_resolution,[],[f153,f4]) ).
fof(f156,definition,
( spl0_19
<=> familiar(one,four) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f158,plain,
( familiar(one,four)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f160,definition,
( spl0_20
<=> not_familiar(one,four) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f162,plain,
( not_familiar(one,four)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f154,f160,f156]) ).
fof(f164,plain,
( ~ familiar(one,two)
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f103,f85]) ).
fof(f168,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f164,f101,f64,f73]) ).
fof(f173,plain,
after(two,six),
inference(resolution,[],[f109,f20]) ).
fof(f174,plain,
( not_familiar(two,five)
| ~ person(two)
| ~ person(five)
| familiar(two,five) ),
inference(resolution,[],[f109,f13]) ).
fof(f176,plain,
( not_familiar(two,five)
| ~ person(five)
| familiar(two,five) ),
inference(forward_subsumption_resolution,[],[f174,f2]) ).
fof(f177,plain,
( not_familiar(two,five)
| familiar(two,five) ),
inference(forward_subsumption_resolution,[],[f176,f5]) ).
fof(f179,definition,
( spl0_21
<=> familiar(two,five) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f181,plain,
( familiar(two,five)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f183,definition,
( spl0_22
<=> not_familiar(two,five) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f185,plain,
( not_familiar(two,five)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f177,f183,f179]) ).
fof(f187,plain,
( ~ familiar(two,three)
| ~ spl0_5
| ~ spl0_13 ),
inference(resolution,[],[f117,f84]) ).
fof(f193,plain,
( not_familiar(three,six)
| ~ person(three)
| ~ person(six)
| familiar(three,six) ),
inference(resolution,[],[f123,f13]) ).
fof(f195,plain,
( not_familiar(three,six)
| ~ person(six)
| familiar(three,six) ),
inference(forward_subsumption_resolution,[],[f193,f3]) ).
fof(f196,plain,
( not_familiar(three,six)
| familiar(three,six) ),
inference(forward_subsumption_resolution,[],[f195,f6]) ).
fof(f198,definition,
( spl0_23
<=> familiar(three,six) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f200,plain,
( familiar(three,six)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f202,definition,
( spl0_24
<=> not_familiar(three,six) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f204,plain,
( not_familiar(three,six)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f196,f202,f198]) ).
fof(f206,plain,
( ~ familiar(three,four)
| ~ spl0_3
| ~ spl0_15 ),
inference(resolution,[],[f131,f82]) ).
fof(f207,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,three) )
| ~ spl0_15 ),
inference(resolution,[],[f131,f14]) ).
fof(f208,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f206,f57]) ).
fof(f209,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f211,plain,
( ! [X0] :
( ~ not_familiar(X0,five)
| ~ not_familiar(X0,four) )
| ~ spl0_4 ),
inference(resolution,[],[f52,f15]) ).
fof(f213,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,four) )
| ~ spl0_17 ),
inference(resolution,[],[f144,f14]) ).
fof(f217,plain,
( not_familiar(one,five)
| ~ person(one)
| ~ person(five)
| familiar(one,five) ),
inference(resolution,[],[f150,f13]) ).
fof(f219,plain,
( not_familiar(one,five)
| ~ person(five)
| familiar(one,five) ),
inference(forward_subsumption_resolution,[],[f217,f1]) ).
fof(f220,plain,
( not_familiar(one,five)
| familiar(one,five) ),
inference(forward_subsumption_resolution,[],[f219,f5]) ).
fof(f222,definition,
( spl0_25
<=> familiar(one,five) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f224,plain,
( familiar(one,five)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_26
<=> not_familiar(one,five) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f228,plain,
( not_familiar(one,five)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f220,f226,f222]) ).
fof(f232,plain,
( ~ familiar(one,three)
| ~ spl0_5
| ~ spl0_19 ),
inference(resolution,[],[f158,f84]) ).
fof(f234,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f232,f103]) ).
fof(f235,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f237,plain,
( ! [X0] :
( ~ not_familiar(X0,four)
| ~ not_familiar(X0,three) )
| ~ spl0_6 ),
inference(resolution,[],[f61,f15]) ).
fof(f238,plain,
( ~ not_familiar(two,three)
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f237,f121]) ).
fof(f240,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f238,f119,f59,f68]) ).
fof(f242,plain,
after(one,six),
inference(resolution,[],[f138,f95]) ).
fof(f245,plain,
( not_familiar(two,six)
| ~ person(two)
| ~ person(six)
| familiar(two,six) ),
inference(resolution,[],[f173,f13]) ).
fof(f247,plain,
( not_familiar(two,six)
| ~ person(six)
| familiar(two,six) ),
inference(forward_subsumption_resolution,[],[f245,f2]) ).
fof(f248,plain,
( not_familiar(two,six)
| familiar(two,six) ),
inference(forward_subsumption_resolution,[],[f247,f6]) ).
fof(f250,definition,
( spl0_27
<=> familiar(two,six) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f252,plain,
( familiar(two,six)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl0_28
<=> not_familiar(two,six) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f256,plain,
( not_familiar(two,six)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f248,f254,f250]) ).
fof(f258,plain,
( ~ familiar(two,three)
| ~ spl0_15
| ~ spl0_21 ),
inference(resolution,[],[f181,f207]) ).
fof(f259,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,two) )
| ~ spl0_21 ),
inference(resolution,[],[f181,f14]) ).
fof(f262,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f258,f179,f129,f64]) ).
fof(f265,plain,
( ! [X0] :
( ~ not_familiar(X0,three)
| ~ not_familiar(X0,two) )
| ~ spl0_8 ),
inference(resolution,[],[f70,f15]) ).
fof(f268,plain,
( ! [X0] :
( ~ familiar(X0,four)
| ~ familiar(X0,two) )
| ~ spl0_13 ),
inference(resolution,[],[f117,f14]) ).
fof(f269,plain,
( ~ familiar(one,two)
| ~ spl0_13
| ~ spl0_19 ),
inference(resolution,[],[f268,f158]) ).
fof(f272,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,three) )
| ~ spl0_23 ),
inference(resolution,[],[f200,f14]) ).
fof(f275,plain,
( not_familiar(one,six)
| ~ person(one)
| ~ person(six)
| familiar(one,six) ),
inference(resolution,[],[f242,f13]) ).
fof(f277,plain,
( not_familiar(one,six)
| ~ person(six)
| familiar(one,six) ),
inference(forward_subsumption_resolution,[],[f275,f1]) ).
fof(f278,plain,
( not_familiar(one,six)
| familiar(one,six) ),
inference(forward_subsumption_resolution,[],[f277,f6]) ).
fof(f280,definition,
( spl0_29
<=> familiar(one,six) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f282,plain,
( familiar(one,six)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_30
<=> not_familiar(one,six) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f286,plain,
( not_familiar(one,six)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f278,f284,f280]) ).
fof(f288,plain,
( ~ familiar(one,two)
| ~ spl0_21
| ~ spl0_25 ),
inference(resolution,[],[f224,f259]) ).
fof(f289,plain,
( ~ familiar(one,three)
| ~ spl0_15
| ~ spl0_25 ),
inference(resolution,[],[f224,f207]) ).
fof(f296,plain,
( ~ not_familiar(one,four)
| ~ spl0_4
| ~ spl0_26 ),
inference(resolution,[],[f228,f211]) ).
fof(f298,plain,
( ~ spl0_20
| ~ spl0_4
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f296,f226,f50,f160]) ).
fof(f301,plain,
( ~ familiar(two,three)
| ~ spl0_23
| ~ spl0_27 ),
inference(resolution,[],[f252,f272]) ).
fof(f302,plain,
( ~ familiar(two,four)
| ~ spl0_17
| ~ spl0_27 ),
inference(resolution,[],[f252,f213]) ).
fof(f306,plain,
( ~ not_familiar(two,five)
| ~ spl0_2
| ~ spl0_28 ),
inference(resolution,[],[f256,f81]) ).
fof(f307,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,two) )
| ~ spl0_28 ),
inference(resolution,[],[f256,f15]) ).
fof(f308,plain,
( ~ spl0_22
| ~ spl0_2
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f306,f254,f41,f183]) ).
fof(f311,plain,
( ~ familiar(one,three)
| ~ spl0_23
| ~ spl0_29 ),
inference(resolution,[],[f282,f272]) ).
fof(f312,plain,
( ~ familiar(one,four)
| ~ spl0_17
| ~ spl0_29 ),
inference(resolution,[],[f282,f213]) ).
fof(f318,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f289,f222,f129,f101]) ).
fof(f319,plain,
( ~ spl0_19
| ~ spl0_17
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f312,f280,f142,f156]) ).
fof(f320,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f311,f280,f198,f101]) ).
fof(f324,plain,
( ~ not_familiar(one,two)
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f107,f265]) ).
fof(f328,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f324,f105,f68,f77]) ).
fof(f329,plain,
( ~ spl0_9
| ~ spl0_21
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f288,f222,f179,f73]) ).
fof(f332,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,four) )
| ~ spl0_3 ),
inference(resolution,[],[f48,f14]) ).
fof(f334,plain,
( ~ familiar(two,four)
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f332,f181]) ).
fof(f339,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f269,f156,f115,f73]) ).
fof(f340,plain,
( ! [X0] :
( ~ not_familiar(X0,five)
| ~ not_familiar(X0,four) )
| ~ spl0_4 ),
inference(resolution,[],[f52,f15]) ).
fof(f350,plain,
( ~ not_familiar(three,five)
| ~ spl0_2
| ~ spl0_24 ),
inference(resolution,[],[f204,f81]) ).
fof(f351,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,three) )
| ~ spl0_24 ),
inference(resolution,[],[f204,f15]) ).
fof(f352,plain,
( ~ spl0_16
| ~ spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f350,f202,f41,f133]) ).
fof(f353,plain,
( ~ not_familiar(two,three)
| ~ spl0_24
| ~ spl0_28 ),
inference(resolution,[],[f351,f256]) ).
fof(f356,plain,
( $false
| ~ spl0_8
| ~ spl0_24
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f353,f70]) ).
fof(f357,plain,
( ~ spl0_8
| ~ spl0_24
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f358,plain,
( ~ familiar(three,four)
| ~ spl0_17
| ~ spl0_23 ),
inference(resolution,[],[f200,f213]) ).
fof(f366,plain,
( ~ not_familiar(one,two)
| ~ spl0_28
| ~ spl0_30 ),
inference(resolution,[],[f286,f307]) ).
fof(f367,plain,
( ~ not_familiar(one,five)
| ~ spl0_2
| ~ spl0_30 ),
inference(resolution,[],[f286,f81]) ).
fof(f369,plain,
( $false
| ~ spl0_2
| ~ spl0_26
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f367,f228]) ).
fof(f370,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f373,plain,
( ~ not_familiar(four,five)
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f148,f81]) ).
fof(f374,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,four) )
| ~ spl0_18 ),
inference(resolution,[],[f148,f15]) ).
fof(f378,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,five) )
| ~ spl0_1 ),
inference(resolution,[],[f39,f14]) ).
fof(f380,plain,
( ~ not_familiar(three,four)
| ~ spl0_18
| ~ spl0_24 ),
inference(resolution,[],[f204,f374]) ).
fof(f382,plain,
( $false
| ~ spl0_6
| ~ spl0_18
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f380,f61]) ).
fof(f383,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f384,plain,
( ~ familiar(three,five)
| ~ spl0_1
| ~ spl0_23 ),
inference(resolution,[],[f200,f378]) ).
fof(f388,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f302,f250,f142,f115]) ).
fof(f395,plain,
( ~ familiar(four,five)
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f144,f378]) ).
fof(f402,plain,
( ~ not_familiar(two,four)
| ~ spl0_4
| ~ spl0_22 ),
inference(resolution,[],[f185,f340]) ).
fof(f406,plain,
( ~ spl0_14
| ~ spl0_4
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f402,f183,f50,f119]) ).
fof(f413,plain,
( ~ not_familiar(one,three)
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f162,f237]) ).
fof(f415,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f413,f107]) ).
fof(f416,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f435,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,three) )
| ~ spl0_24 ),
inference(resolution,[],[f204,f15]) ).
fof(f440,plain,
( ~ familiar(two,five)
| ~ spl0_1
| ~ spl0_27 ),
inference(resolution,[],[f252,f378]) ).
fof(f441,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,two) )
| ~ spl0_27 ),
inference(resolution,[],[f252,f14]) ).
fof(f444,plain,
( ~ spl0_21
| ~ spl0_1
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f440,f250,f37,f179]) ).
fof(f450,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,four) )
| ~ spl0_18 ),
inference(resolution,[],[f148,f15]) ).
fof(f465,plain,
( ~ familiar(one,two)
| ~ spl0_27
| ~ spl0_29 ),
inference(resolution,[],[f282,f441]) ).
fof(f466,plain,
( ~ familiar(one,five)
| ~ spl0_1
| ~ spl0_29 ),
inference(resolution,[],[f282,f378]) ).
fof(f470,plain,
( $false
| ~ spl0_9
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f465,f75]) ).
fof(f471,plain,
( ~ spl0_9
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f472,plain,
( ~ not_familiar(one,four)
| ~ spl0_18
| ~ spl0_30 ),
inference(resolution,[],[f286,f450]) ).
fof(f473,plain,
( ~ not_familiar(one,three)
| ~ spl0_24
| ~ spl0_30 ),
inference(resolution,[],[f286,f435]) ).
fof(f475,plain,
( $false
| ~ spl0_12
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f473,f107]) ).
fof(f476,plain,
( ~ spl0_12
| ~ spl0_24
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f479,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f301,f250,f198,f64]) ).
fof(f480,plain,
( ~ spl0_15
| ~ spl0_1
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f384,f198,f37,f129]) ).
fof(f481,plain,
( ~ spl0_20
| ~ spl0_18
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f472,f284,f146,f160]) ).
fof(f482,plain,
( ~ spl0_25
| ~ spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f466,f280,f37,f222]) ).
fof(f491,plain,
( ~ not_familiar(three,four)
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f135,f340]) ).
fof(f492,plain,
( ! [X0] :
( ~ not_familiar(X0,five)
| ~ not_familiar(X0,three) )
| ~ spl0_16 ),
inference(resolution,[],[f135,f15]) ).
fof(f495,plain,
( ~ spl0_7
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f187,f115,f55,f64]) ).
fof(f496,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f358,f198,f142,f55]) ).
fof(f497,plain,
( ~ spl0_10
| ~ spl0_28
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f366,f284,f254,f77]) ).
fof(f498,plain,
( ~ spl0_6
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f491,f133,f50,f59]) ).
fof(f522,plain,
( ~ not_familiar(one,three)
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f228,f492]) ).
fof(f527,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f373,f146,f41,f50]) ).
fof(f531,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,four) )
| ~ spl0_3 ),
inference(resolution,[],[f48,f14]) ).
fof(f542,plain,
( ~ familiar(one,four)
| ~ spl0_3
| ~ spl0_25 ),
inference(resolution,[],[f224,f531]) ).
fof(f547,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f522,f226,f133,f105]) ).
fof(f560,plain,
( ~ not_familiar(two,three)
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f185,f492]) ).
fof(f564,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f395,f48]) ).
fof(f565,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f566,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f560,f183,f133,f68]) ).
fof(f567,plain,
( ~ spl0_13
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f334,f179,f46,f115]) ).
fof(f568,plain,
( ~ spl0_19
| ~ spl0_3
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f542,f222,f46,f156]) ).
fof(f576,plain,
( ! [X0] :
( ~ not_familiar(X0,four)
| ~ not_familiar(X0,two) )
| ~ spl0_14 ),
inference(resolution,[],[f121,f15]) ).
fof(f583,plain,
( ~ not_familiar(one,two)
| ~ spl0_14
| ~ spl0_20 ),
inference(resolution,[],[f162,f576]) ).
fof(f585,plain,
( $false
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f583,f79]) ).
fof(f586,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f585]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f53]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f62]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f71]) ).
cnf(s5,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f80]) ).
cnf(s6,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f122]) ).
cnf(s8,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f136]) ).
cnf(s9,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f149]) ).
cnf(s10,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f163]) ).
cnf(s12,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f168]) ).
cnf(s13,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f186]) ).
cnf(s15,plain,
( spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f205]) ).
cnf(s16,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(sat_conversion,[],[f209]) ).
cnf(s17,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f229]) ).
cnf(s18,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f235]) ).
cnf(s19,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(sat_conversion,[],[f240]) ).
cnf(s20,plain,
( spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f257]) ).
cnf(s22,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f262]) ).
cnf(s23,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f287]) ).
cnf(s25,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f298]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f308]) ).
cnf(s30,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_25 ),
inference(sat_conversion,[],[f318]) ).
cnf(s31,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f319]) ).
cnf(s32,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_29 ),
inference(sat_conversion,[],[f320]) ).
cnf(s34,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f328]) ).
cnf(s35,plain,
( ~ spl0_9
| ~ spl0_21
| ~ spl0_25 ),
inference(sat_conversion,[],[f329]) ).
cnf(s38,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f339]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_24 ),
inference(sat_conversion,[],[f352]) ).
cnf(s40,plain,
( ~ spl0_8
| ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f357]) ).
cnf(s41,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f370]) ).
cnf(s44,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f383]) ).
cnf(s47,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(sat_conversion,[],[f388]) ).
cnf(s51,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f406]) ).
cnf(s52,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f416]) ).
cnf(s60,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f444]) ).
cnf(s62,plain,
( ~ spl0_9
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f471]) ).
cnf(s63,plain,
( ~ spl0_12
| ~ spl0_24
| ~ spl0_30 ),
inference(sat_conversion,[],[f476]) ).
cnf(s69,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f479]) ).
cnf(s70,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_23 ),
inference(sat_conversion,[],[f480]) ).
cnf(s71,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_30 ),
inference(sat_conversion,[],[f481]) ).
cnf(s76,plain,
( ~ spl0_1
| ~ spl0_25
| ~ spl0_29 ),
inference(sat_conversion,[],[f482]) ).
cnf(s78,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f495]) ).
cnf(s82,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(sat_conversion,[],[f496]) ).
cnf(s84,plain,
( ~ spl0_10
| ~ spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f497]) ).
cnf(s85,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(sat_conversion,[],[f498]) ).
cnf(s91,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_18 ),
inference(sat_conversion,[],[f527]) ).
cnf(s97,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_26 ),
inference(sat_conversion,[],[f547]) ).
cnf(s104,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(sat_conversion,[],[f565]) ).
cnf(s106,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f566]) ).
cnf(s108,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f567]) ).
cnf(s111,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f568]) ).
cnf(s112,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f586]) ).
cnf(s113,plain,
( ~ spl0_10
| ~ spl0_28
| ~ spl0_8 ),
inference(rat,[],[s32,s23,s6,s84,s34,s15,s40]) ).
cnf(s114,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s25,s17,s10,s35,s38,s5,s113,s13,s27,s20,s47,s7,s19,s9,s91]) ).
cnf(s115,plain,
( ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s47,s7,s20,s51,s27,s9,s91]) ).
cnf(s116,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_5
| ~ spl0_8 ),
inference(rat,[],[s18,s10,s6,s112,s34]) ).
cnf(s117,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s41,s17,s23,s35,s62,s5,s116,s7,s47,s20,s40,s15,s82,s3,s114,s9,s91,s13,s115]) ).
cnf(s118,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s82,s15,s3,s39,s85,s8,s22,s4,s117,s13,s115,s9,s91]) ).
cnf(s119,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s27,s20,s13,s47,s108,s2,s118]) ).
cnf(s120,plain,
( ~ spl0_17
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s39,s15,s8,s82,s16,s3,s19,s7,s119,s2,s118]) ).
cnf(s121,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s41,s17,s23,s30,s32]) ).
cnf(s122,plain,
( ~ spl0_13
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s38,s10,s5,s52,s34,s6,s121,s15,s44,s3,s16,s8,s106,s13,s108,s2,s118,s9,s120]) ).
cnf(s123,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s32,s6,s23,s97,s41,s17,s35,s13,s15,s106,s39,s5,s8,s116,s16,s3,s19,s7,s122,s2,s118]) ).
cnf(s124,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s69,s15,s20,s44,s27,s9,s3,s13,s119,s78,s108,s2,s118,s4,s123]) ).
cnf(s126,plain,
( ~ spl0_9
| ~ spl0_21
| ~ spl0_7 ),
inference(rat,[],[s97,s17,s6,s35,s12,s8,s22]) ).
cnf(s127,plain,
( ~ spl0_23
| ~ spl0_2 ),
inference(rat,[],[s97,s17,s6,s111,s32,s10,s23,s112,s84,s5,s126,s8,s22,s13,s27,s20,s69,s2,s118,s4,s123,s7,s124]) ).
cnf(s128,plain,
( ~ spl0_19
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s41,s17,s23,s111,s31,s2,s118]) ).
cnf(s129,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s12,s5,s6,s112,s52,s10,s128,s9,s44,s4,s123,s7,s124,s15,s127]) ).
cnf(s130,plain,
~ spl0_2,
inference(rat,[],[s3,s129,s16,s8,s39,s15,s127,s2,s118]) ).
cnf(s131,plain,
spl0_1,
inference(rat,[],[s1,s130]) ).
cnf(s132,plain,
( ~ spl0_27
| ~ spl0_17 ),
inference(rat,[],[s51,s7,s13,s47,s60,s2,s104,s131]) ).
cnf(s133,plain,
( ~ spl0_17
| ~ spl0_8 ),
inference(rat,[],[s85,s3,s8,s82,s70,s15,s40,s20,s132,s2,s104,s131]) ).
cnf(s134,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s25,s10,s2,s18,s16,s3,s44,s17,s15,s30,s70,s8,s106,s13,s60,s20,s6,s113,s34,s9,s133,s131]) ).
cnf(s135,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(rat,[],[s32,s6,s23,s52,s71,s10,s38,s15,s7,s44,s19,s9,s133,s5,s134]) ).
cnf(s136,plain,
( ~ spl0_23
| ~ spl0_8 ),
inference(rat,[],[s71,s10,s23,s18,s32,s6,s97,s17,s35,s13,s106,s8,s70,s9,s133,s5,s134,s3,s135,s131]) ).
cnf(s137,plain,
~ spl0_8,
inference(rat,[],[s18,s10,s6,s71,s63,s23,s62,s20,s40,s15,s136,s3,s135,s5,s134,s9,s133]) ).
cnf(s138,plain,
spl0_7,
inference(rat,[],[s4,s137]) ).
cnf(s139,plain,
( ~ spl0_29
| ~ spl0_23 ),
inference(rat,[],[s97,s6,s17,s32,s76,s8,s70,s131]) ).
cnf(s140,plain,
( ~ spl0_6
| ~ spl0_23 ),
inference(rat,[],[s111,s10,s2,s52,s85,s17,s97,s6,s12,s5,s84,s23,s139,s20,s69,s8,s70,s131,s138]) ).
cnf(s141,plain,
~ spl0_23,
inference(rat,[],[s111,s2,s10,s51,s71,s7,s9,s78,s82,s3,s140,s17,s97,s13,s6,s126,s12,s5,s84,s23,s139,s20,s8,s69,s70,s138,s131]) ).
cnf(s142,plain,
spl0_24,
inference(rat,[],[s15,s141]) ).
cnf(s143,plain,
( ~ spl0_11
| ~ spl0_6 ),
inference(rat,[],[s31,s10,s23,s25,s84,s17,s5,s30,s12,s20,s132,s8,s85,s2,s104,s9,s44,s138,s131,s142]) ).
cnf(s144,plain,
~ spl0_6,
inference(rat,[],[s31,s10,s23,s52,s63,s6,s143,s9,s44,s142]) ).
cnf(s145,plain,
spl0_5,
inference(rat,[],[s3,s144]) ).
cnf(s146,plain,
~ spl0_13,
inference(rat,[],[s78,s138,s145]) ).
cnf(s147,plain,
spl0_14,
inference(rat,[],[s7,s146]) ).
cnf(s148,plain,
~ spl0_11,
inference(rat,[],[s112,s10,s5,s18,s12,s147,s145,s138]) ).
cnf(s149,plain,
spl0_12,
inference(rat,[],[s6,s148]) ).
cnf(s150,plain,
~ spl0_30,
inference(rat,[],[s63,s142,s149]) ).
cnf(s151,plain,
spl0_29,
inference(rat,[],[s23,s150]) ).
cnf(s152,plain,
~ spl0_25,
inference(rat,[],[s76,s131,s151]) ).
cnf(s153,plain,
spl0_26,
inference(rat,[],[s17,s152]) ).
cnf(s154,plain,
~ spl0_16,
inference(rat,[],[s97,s149,s153]) ).
cnf(s155,plain,
spl0_15,
inference(rat,[],[s8,s154]) ).
cnf(s156,plain,
~ spl0_21,
inference(rat,[],[s22,s138,s155]) ).
cnf(s157,plain,
~ spl0_3,
inference(rat,[],[s16,s145,s155]) ).
cnf(s158,plain,
spl0_22,
inference(rat,[],[s13,s156]) ).
cnf(s159,plain,
spl0_4,
inference(rat,[],[s2,s157]) ).
cnf(s160,plain,
$false,
inference(rat,[],[s51,s147,s159,s158]) ).
fof(f587,plain,
$false,
inference(avatar_sat_refutation,[],[s160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ028-5 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n007.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 22:28:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % (1836663)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (1836671)dis+10_1_sil=32000:sp=arity:random_seed=1398903264:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (1836669)% WARNING: option uhcvi not known.
% 0.10/0.45 % (1836672)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3691192725:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (1836671) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1836663-1836671"...
% 0.10/0.45 % (1836668)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1986880980_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (1836670)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3691551076:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (1836673)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4117241403:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (1836674)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2049183561:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % Detected minimum model sizes of [1]
% 0.10/0.45 % Detected maximum model sizes of [6]
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (1836669)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1438021816:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [5]
% 0.10/0.45 % (1836671)...printing done.
% 0.10/0.45 % TRYING [6]
% 0.10/0.45 % (1836671)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (1836671)------------------------------
% 0.10/0.45 % (1836671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (1836671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (1836671)CaDiCaL version: 2.1.3
% 0.10/0.45 % (1836671)Termination reason: Refutation
% 0.10/0.45 % (1836671)Time elapsed: 0.008 s
% 0.10/0.45 % (1836671)Peak memory usage: 11 MB
% 0.10/0.45 % (1836671)Instructions burned: 21 (million)
% 0.10/0.45 % (1836663)Success in time 0.034 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------