%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ028-5 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:31:16 PM UTC 2026
% Result : Unsatisfiable 2.13s 1.15s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 45
% Syntax : Number of formulae : 389 ( 45 unt; 30 def)
% Number of atoms : 1014 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1327 ( 702 ~; 595 |; 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 : 46 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
person(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person1) ).
fof(f2,axiom,
person(two),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person2) ).
fof(f3,axiom,
person(three),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person3) ).
fof(f4,axiom,
person(four),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person4) ).
fof(f5,axiom,
person(five),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person5) ).
fof(f6,axiom,
person(six),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person6) ).
fof(f7,axiom,
after(one,two),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order1) ).
fof(f8,axiom,
after(two,three),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order2) ).
fof(f9,axiom,
after(three,four),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order3) ).
fof(f10,axiom,
after(four,five),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order4) ).
fof(f11,axiom,
after(five,six),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order5) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ after(X2,X1)
| ~ after(X0,X2)
| after(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(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(f166,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f164,f75]) ).
fof(f167,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f172,plain,
after(two,six),
inference(resolution,[],[f109,f20]) ).
fof(f173,plain,
( not_familiar(two,five)
| ~ person(two)
| ~ person(five)
| familiar(two,five) ),
inference(resolution,[],[f109,f13]) ).
fof(f175,plain,
( not_familiar(two,five)
| ~ person(five)
| familiar(two,five) ),
inference(forward_subsumption_resolution,[],[f173,f2]) ).
fof(f176,plain,
( not_familiar(two,five)
| familiar(two,five) ),
inference(forward_subsumption_resolution,[],[f175,f5]) ).
fof(f178,definition,
( spl0_21
<=> familiar(two,five) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f180,plain,
( familiar(two,five)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f182,definition,
( spl0_22
<=> not_familiar(two,five) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f184,plain,
( not_familiar(two,five)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f176,f182,f178]) ).
fof(f186,plain,
( ~ familiar(two,three)
| ~ spl0_5
| ~ spl0_13 ),
inference(resolution,[],[f117,f84]) ).
fof(f188,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f186,f66]) ).
fof(f189,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f192,plain,
( not_familiar(three,six)
| ~ person(three)
| ~ person(six)
| familiar(three,six) ),
inference(resolution,[],[f123,f13]) ).
fof(f194,plain,
( not_familiar(three,six)
| ~ person(six)
| familiar(three,six) ),
inference(forward_subsumption_resolution,[],[f192,f3]) ).
fof(f195,plain,
( not_familiar(three,six)
| familiar(three,six) ),
inference(forward_subsumption_resolution,[],[f194,f6]) ).
fof(f197,definition,
( spl0_23
<=> familiar(three,six) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f199,plain,
( familiar(three,six)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_24
<=> not_familiar(three,six) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f203,plain,
( not_familiar(three,six)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,plain,
( spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f195,f201,f197]) ).
fof(f205,plain,
( ~ familiar(three,four)
| ~ spl0_3
| ~ spl0_15 ),
inference(resolution,[],[f131,f82]) ).
fof(f206,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,three) )
| ~ spl0_15 ),
inference(resolution,[],[f131,f14]) ).
fof(f210,plain,
( ! [X0] :
( ~ not_familiar(X0,five)
| ~ not_familiar(X0,four) )
| ~ spl0_4 ),
inference(resolution,[],[f52,f15]) ).
fof(f212,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,four) )
| ~ spl0_17 ),
inference(resolution,[],[f144,f14]) ).
fof(f215,plain,
after(one,six),
inference(resolution,[],[f150,f20]) ).
fof(f216,plain,
( not_familiar(one,five)
| ~ person(one)
| ~ person(five)
| familiar(one,five) ),
inference(resolution,[],[f150,f13]) ).
fof(f218,plain,
( not_familiar(one,five)
| ~ person(five)
| familiar(one,five) ),
inference(forward_subsumption_resolution,[],[f216,f1]) ).
fof(f219,plain,
( not_familiar(one,five)
| familiar(one,five) ),
inference(forward_subsumption_resolution,[],[f218,f5]) ).
fof(f221,definition,
( spl0_25
<=> familiar(one,five) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f223,plain,
( familiar(one,five)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl0_26
<=> not_familiar(one,five) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f227,plain,
( not_familiar(one,five)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f219,f225,f221]) ).
fof(f231,plain,
( ~ familiar(one,three)
| ~ spl0_5
| ~ spl0_19 ),
inference(resolution,[],[f158,f84]) ).
fof(f233,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f231,f103]) ).
fof(f234,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f236,plain,
( ! [X0] :
( ~ not_familiar(X0,four)
| ~ not_familiar(X0,three) )
| ~ spl0_6 ),
inference(resolution,[],[f61,f15]) ).
fof(f237,plain,
( ~ not_familiar(two,three)
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f236,f121]) ).
fof(f239,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f237,f119,f59,f68]) ).
fof(f244,plain,
( not_familiar(two,six)
| ~ person(two)
| ~ person(six)
| familiar(two,six) ),
inference(resolution,[],[f172,f13]) ).
fof(f246,plain,
( not_familiar(two,six)
| ~ person(six)
| familiar(two,six) ),
inference(forward_subsumption_resolution,[],[f244,f2]) ).
fof(f247,plain,
( not_familiar(two,six)
| familiar(two,six) ),
inference(forward_subsumption_resolution,[],[f246,f6]) ).
fof(f249,definition,
( spl0_27
<=> familiar(two,six) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f251,plain,
( familiar(two,six)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl0_28
<=> not_familiar(two,six) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f255,plain,
( not_familiar(two,six)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f247,f253,f249]) ).
fof(f257,plain,
( ~ familiar(two,three)
| ~ spl0_15
| ~ spl0_21 ),
inference(resolution,[],[f180,f206]) ).
fof(f258,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,two) )
| ~ spl0_21 ),
inference(resolution,[],[f180,f14]) ).
fof(f259,plain,
( $false
| ~ spl0_7
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f257,f66]) ).
fof(f260,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f263,plain,
( ! [X0] :
( ~ not_familiar(X0,three)
| ~ not_familiar(X0,two) )
| ~ spl0_8 ),
inference(resolution,[],[f70,f15]) ).
fof(f266,plain,
( ! [X0] :
( ~ familiar(X0,four)
| ~ familiar(X0,two) )
| ~ spl0_13 ),
inference(resolution,[],[f117,f14]) ).
fof(f267,plain,
( ~ familiar(one,two)
| ~ spl0_13
| ~ spl0_19 ),
inference(resolution,[],[f266,f158]) ).
fof(f269,plain,
( ~ familiar(three,four)
| ~ spl0_17
| ~ spl0_23 ),
inference(resolution,[],[f199,f212]) ).
fof(f270,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,three) )
| ~ spl0_23 ),
inference(resolution,[],[f199,f14]) ).
fof(f274,plain,
( not_familiar(one,six)
| ~ person(one)
| ~ person(six)
| familiar(one,six) ),
inference(resolution,[],[f215,f13]) ).
fof(f276,plain,
( not_familiar(one,six)
| ~ person(six)
| familiar(one,six) ),
inference(forward_subsumption_resolution,[],[f274,f1]) ).
fof(f277,plain,
( not_familiar(one,six)
| familiar(one,six) ),
inference(forward_subsumption_resolution,[],[f276,f6]) ).
fof(f279,definition,
( spl0_29
<=> familiar(one,six) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f281,plain,
( familiar(one,six)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl0_30
<=> not_familiar(one,six) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f285,plain,
( not_familiar(one,six)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f277,f283,f279]) ).
fof(f289,plain,
( ~ familiar(one,two)
| ~ spl0_21
| ~ spl0_25 ),
inference(resolution,[],[f223,f258]) ).
fof(f290,plain,
( ~ familiar(one,three)
| ~ spl0_15
| ~ spl0_25 ),
inference(resolution,[],[f223,f206]) ).
fof(f292,plain,
( $false
| ~ spl0_11
| ~ spl0_15
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f290,f103]) ).
fof(f293,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f294,plain,
( ~ not_familiar(one,four)
| ~ spl0_4
| ~ spl0_26 ),
inference(resolution,[],[f227,f210]) ).
fof(f296,plain,
( ~ spl0_20
| ~ spl0_4
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f294,f225,f50,f160]) ).
fof(f299,plain,
( ~ familiar(two,three)
| ~ spl0_23
| ~ spl0_27 ),
inference(resolution,[],[f251,f270]) ).
fof(f300,plain,
( ~ familiar(two,four)
| ~ spl0_17
| ~ spl0_27 ),
inference(resolution,[],[f251,f212]) ).
fof(f302,plain,
( $false
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f300,f117]) ).
fof(f303,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f304,plain,
( ~ not_familiar(two,five)
| ~ spl0_2
| ~ spl0_28 ),
inference(resolution,[],[f255,f81]) ).
fof(f305,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,two) )
| ~ spl0_28 ),
inference(resolution,[],[f255,f15]) ).
fof(f306,plain,
( ~ spl0_22
| ~ spl0_2
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f304,f253,f41,f182]) ).
fof(f310,plain,
( ~ familiar(one,three)
| ~ spl0_23
| ~ spl0_29 ),
inference(resolution,[],[f281,f270]) ).
fof(f311,plain,
( ~ familiar(one,four)
| ~ spl0_17
| ~ spl0_29 ),
inference(resolution,[],[f281,f212]) ).
fof(f313,plain,
( $false
| ~ spl0_17
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f311,f158]) ).
fof(f314,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f315,plain,
( $false
| ~ spl0_11
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f310,f103]) ).
fof(f316,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f320,plain,
( ~ not_familiar(one,two)
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f107,f263]) ).
fof(f322,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f320,f79]) ).
fof(f323,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f324,plain,
( $false
| ~ spl0_9
| ~ spl0_21
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f289,f75]) ).
fof(f325,plain,
( ~ spl0_9
| ~ spl0_21
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f326,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f267,f156,f115,f73]) ).
fof(f339,plain,
( ~ not_familiar(one,two)
| ~ spl0_28
| ~ spl0_30 ),
inference(resolution,[],[f285,f305]) ).
fof(f340,plain,
( ~ not_familiar(one,five)
| ~ spl0_2
| ~ spl0_30 ),
inference(resolution,[],[f285,f81]) ).
fof(f342,plain,
( $false
| ~ spl0_2
| ~ spl0_26
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f340,f227]) ).
fof(f343,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f344,plain,
( $false
| ~ spl0_10
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f339,f79]) ).
fof(f345,plain,
( ~ spl0_10
| ~ spl0_28
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f348,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,five) )
| ~ spl0_1 ),
inference(resolution,[],[f39,f14]) ).
fof(f349,plain,
( ~ familiar(three,five)
| ~ spl0_1
| ~ spl0_23 ),
inference(resolution,[],[f348,f199]) ).
fof(f351,plain,
( $false
| ~ spl0_1
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f349,f131]) ).
fof(f352,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f353,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,five) )
| ~ spl0_2 ),
inference(resolution,[],[f43,f15]) ).
fof(f355,plain,
( ~ not_familiar(four,five)
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f148,f353]) ).
fof(f356,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,four) )
| ~ spl0_18 ),
inference(resolution,[],[f148,f15]) ).
fof(f361,plain,
( ! [X0] :
( ~ familiar(X0,five)
| ~ familiar(X0,four) )
| ~ spl0_3 ),
inference(resolution,[],[f48,f14]) ).
fof(f362,plain,
( ~ familiar(two,four)
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f361,f180]) ).
fof(f367,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,five) )
| ~ spl0_1 ),
inference(resolution,[],[f39,f14]) ).
fof(f369,plain,
( ! [X0] :
( ~ not_familiar(X0,five)
| ~ not_familiar(X0,four) )
| ~ spl0_4 ),
inference(resolution,[],[f52,f15]) ).
fof(f374,plain,
( ~ not_familiar(two,four)
| ~ spl0_4
| ~ spl0_22 ),
inference(resolution,[],[f184,f369]) ).
fof(f376,plain,
( ! [X0] :
( ~ not_familiar(X0,five)
| ~ not_familiar(X0,two) )
| ~ spl0_22 ),
inference(resolution,[],[f184,f15]) ).
fof(f377,plain,
( ~ not_familiar(one,two)
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f376,f227]) ).
fof(f380,plain,
( $false
| ~ spl0_10
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f377,f79]) ).
fof(f381,plain,
( ~ spl0_10
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f386,plain,
( ~ not_familiar(three,four)
| ~ spl0_18
| ~ spl0_24 ),
inference(resolution,[],[f203,f356]) ).
fof(f388,plain,
( $false
| ~ spl0_6
| ~ spl0_18
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f386,f61]) ).
fof(f389,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f390,plain,
( ~ not_familiar(three,four)
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f135,f369]) ).
fof(f391,plain,
( ! [X0] :
( ~ not_familiar(X0,five)
| ~ not_familiar(X0,three) )
| ~ spl0_16 ),
inference(resolution,[],[f135,f15]) ).
fof(f392,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f390,f61]) ).
fof(f393,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f397,plain,
( ~ not_familiar(two,three)
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f184,f391]) ).
fof(f399,plain,
( $false
| ~ spl0_8
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f397,f70]) ).
fof(f400,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f401,plain,
( $false
| ~ spl0_7
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f299,f66]) ).
fof(f402,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f408,plain,
( ! [X0] :
( ~ not_familiar(X0,four)
| ~ not_familiar(X0,two) )
| ~ spl0_14 ),
inference(resolution,[],[f121,f15]) ).
fof(f411,plain,
( ~ familiar(four,five)
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f144,f367]) ).
fof(f413,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f411,f48]) ).
fof(f414,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f416,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,five) )
| ~ spl0_2 ),
inference(resolution,[],[f43,f15]) ).
fof(f420,plain,
( ~ not_familiar(three,five)
| ~ spl0_2
| ~ spl0_24 ),
inference(resolution,[],[f203,f416]) ).
fof(f421,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,three) )
| ~ spl0_24 ),
inference(resolution,[],[f203,f15]) ).
fof(f422,plain,
( $false
| ~ spl0_2
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f420,f135]) ).
fof(f423,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f424,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,five) )
| ~ spl0_1 ),
inference(resolution,[],[f39,f14]) ).
fof(f430,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,four) )
| ~ spl0_18 ),
inference(resolution,[],[f148,f15]) ).
fof(f433,plain,
( ~ not_familiar(one,two)
| ~ spl0_14
| ~ spl0_20 ),
inference(resolution,[],[f162,f408]) ).
fof(f435,plain,
( $false
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f433,f79]) ).
fof(f436,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f454,plain,
( ~ familiar(two,five)
| ~ spl0_1
| ~ spl0_27 ),
inference(resolution,[],[f251,f424]) ).
fof(f458,plain,
( ~ not_familiar(two,four)
| ~ spl0_18
| ~ spl0_28 ),
inference(resolution,[],[f255,f430]) ).
fof(f459,plain,
( ~ not_familiar(two,three)
| ~ spl0_24
| ~ spl0_28 ),
inference(resolution,[],[f255,f421]) ).
fof(f461,plain,
( $false
| ~ spl0_8
| ~ spl0_24
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f459,f70]) ).
fof(f462,plain,
( ~ spl0_8
| ~ spl0_24
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f463,plain,
( ~ spl0_13
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f362,f178,f46,f115]) ).
fof(f464,plain,
( $false
| ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f458,f121]) ).
fof(f465,plain,
( ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f466,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f269,f57]) ).
fof(f467,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f485,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,four) )
| ~ spl0_18 ),
inference(resolution,[],[f148,f15]) ).
fof(f490,plain,
( ~ not_familiar(one,three)
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f227,f391]) ).
fof(f492,plain,
( $false
| ~ spl0_12
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f490,f107]) ).
fof(f493,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f494,plain,
( ~ spl0_21
| ~ spl0_1
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f454,f249,f37,f178]) ).
fof(f495,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f374,f121]) ).
fof(f496,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f497,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f355,f146,f41,f50]) ).
fof(f498,plain,
( ~ spl0_5
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f205,f129,f46,f55]) ).
fof(f502,plain,
( ! [X0] :
( ~ not_familiar(X0,four)
| ~ not_familiar(X0,three) )
| ~ spl0_6 ),
inference(resolution,[],[f61,f15]) ).
fof(f514,plain,
( ~ not_familiar(one,three)
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f162,f502]) ).
fof(f516,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f514,f107]) ).
fof(f517,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f518,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,five) )
| ~ spl0_1 ),
inference(resolution,[],[f39,f14]) ).
fof(f532,plain,
( ! [X0] :
( ~ not_familiar(X0,six)
| ~ not_familiar(X0,three) )
| ~ spl0_24 ),
inference(resolution,[],[f203,f15]) ).
fof(f540,plain,
( ! [X0] :
( ~ familiar(X0,six)
| ~ familiar(X0,two) )
| ~ spl0_27 ),
inference(resolution,[],[f251,f14]) ).
fof(f543,plain,
( ~ familiar(one,two)
| ~ spl0_27
| ~ spl0_29 ),
inference(resolution,[],[f281,f540]) ).
fof(f544,plain,
( ~ familiar(one,five)
| ~ spl0_1
| ~ spl0_29 ),
inference(resolution,[],[f281,f518]) ).
fof(f546,plain,
( $false
| ~ spl0_1
| ~ spl0_25
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f544,f223]) ).
fof(f547,plain,
( ~ spl0_1
| ~ spl0_25
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f548,plain,
( $false
| ~ spl0_9
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f543,f75]) ).
fof(f549,plain,
( ~ spl0_9
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f550,plain,
( ~ not_familiar(one,three)
| ~ spl0_24
| ~ spl0_30 ),
inference(resolution,[],[f285,f532]) ).
fof(f551,plain,
( ~ not_familiar(one,four)
| ~ spl0_18
| ~ spl0_30 ),
inference(resolution,[],[f285,f485]) ).
fof(f553,plain,
( $false
| ~ spl0_18
| ~ spl0_20
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f551,f162]) ).
fof(f554,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f555,plain,
( $false
| ~ spl0_12
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f550,f107]) ).
fof(f556,plain,
( ~ spl0_12
| ~ spl0_24
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f555]) ).
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(s11,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f167]) ).
cnf(s12,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f185]) ).
cnf(s13,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f189]) ).
cnf(s14,plain,
( spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f204]) ).
cnf(s16,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f228]) ).
cnf(s17,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f234]) ).
cnf(s18,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(sat_conversion,[],[f239]) ).
cnf(s19,plain,
( spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f256]) ).
cnf(s20,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f260]) ).
cnf(s21,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f286]) ).
cnf(s22,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_25 ),
inference(sat_conversion,[],[f293]) ).
cnf(s23,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f296]) ).
cnf(s24,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(sat_conversion,[],[f303]) ).
cnf(s25,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f306]) ).
cnf(s26,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f314]) ).
cnf(s27,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_29 ),
inference(sat_conversion,[],[f316]) ).
cnf(s28,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f323]) ).
cnf(s29,plain,
( ~ spl0_9
| ~ spl0_21
| ~ spl0_25 ),
inference(sat_conversion,[],[f325]) ).
cnf(s30,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f326]) ).
cnf(s31,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f343]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f345]) ).
cnf(s33,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_23 ),
inference(sat_conversion,[],[f352]) ).
cnf(s36,plain,
( ~ spl0_10
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f381]) ).
cnf(s37,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f389]) ).
cnf(s38,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(sat_conversion,[],[f393]) ).
cnf(s39,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f400]) ).
cnf(s40,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f402]) ).
cnf(s41,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(sat_conversion,[],[f414]) ).
cnf(s42,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_24 ),
inference(sat_conversion,[],[f423]) ).
cnf(s43,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f436]) ).
cnf(s45,plain,
( ~ spl0_8
| ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f462]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f463]) ).
cnf(s47,plain,
( ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(sat_conversion,[],[f465]) ).
cnf(s48,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(sat_conversion,[],[f467]) ).
cnf(s49,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_26 ),
inference(sat_conversion,[],[f493]) ).
cnf(s50,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f494]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f496]) ).
cnf(s55,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_18 ),
inference(sat_conversion,[],[f497]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(sat_conversion,[],[f498]) ).
cnf(s59,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f517]) ).
cnf(s60,plain,
( ~ spl0_1
| ~ spl0_25
| ~ spl0_29 ),
inference(sat_conversion,[],[f547]) ).
cnf(s61,plain,
( ~ spl0_9
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f549]) ).
cnf(s62,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_30 ),
inference(sat_conversion,[],[f554]) ).
cnf(s63,plain,
( ~ spl0_12
| ~ spl0_24
| ~ spl0_30 ),
inference(sat_conversion,[],[f556]) ).
cnf(s64,plain,
( ~ spl0_10
| ~ spl0_28
| ~ spl0_8 ),
inference(rat,[],[s27,s21,s6,s32,s28,s14,s45]) ).
cnf(s65,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s23,s16,s10,s29,s30,s5,s64,s12,s25,s19,s24,s7,s18,s9,s55]) ).
cnf(s66,plain,
( ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s24,s7,s19,s54,s25,s9,s55]) ).
cnf(s67,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_5
| ~ spl0_8 ),
inference(rat,[],[s17,s10,s6,s43,s28]) ).
cnf(s68,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s31,s16,s21,s29,s61,s5,s67,s7,s24,s19,s45,s14,s48,s3,s65,s9,s55,s12,s66]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s48,s14,s3,s42,s38,s8,s20,s4,s68,s12,s66,s9,s55]) ).
cnf(s70,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s25,s19,s12,s24,s46,s2,s69]) ).
cnf(s71,plain,
( ~ spl0_17
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s42,s14,s8,s48,s57,s3,s18,s7,s70,s2,s69]) ).
cnf(s72,plain,
( ~ spl0_10
| ~ spl0_22
| ~ spl0_8 ),
inference(rat,[],[s22,s16,s6,s36,s28,s8,s39]) ).
cnf(s73,plain,
( ~ spl0_13
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s62,s10,s21,s30,s61,s5,s72,s19,s25,s12,s46,s2,s69,s9,s71]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s16,s31,s29,s21,s12,s61,s39,s5,s8,s67,s57,s19,s3,s47,s18,s7,s73,s9,s71,s2,s69]) ).
cnf(s75,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s40,s14,s19,s37,s25,s9,s3,s12,s70,s13,s46,s2,s69,s4,s74]) ).
cnf(s76,plain,
( ~ spl0_10
| ~ spl0_28
| ~ spl0_17
| ~ spl0_14 ),
inference(rat,[],[s26,s10,s21,s43,s32]) ).
cnf(s77,plain,
( ~ spl0_21
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s49,s16,s6,s29,s11,s5,s76,s19,s40,s14,s42,s8,s20,s4,s74,s7,s75]) ).
cnf(s78,plain,
( ~ spl0_10
| ~ spl0_15
| ~ spl0_24
| ~ spl0_22
| ~ spl0_17
| ~ spl0_14 ),
inference(rat,[],[s63,s21,s6,s26,s22,s10,s16,s43,s36]) ).
cnf(s79,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s63,s6,s21,s11,s61,s5,s78,s8,s42,s14,s40,s19,s25,s12,s77,s4,s74,s7,s75]) ).
cnf(s80,plain,
~ spl0_2,
inference(rat,[],[s57,s3,s8,s37,s42,s14,s40,s19,s47,s9,s79,s7,s75,s4,s74,s2,s69]) ).
cnf(s81,plain,
spl0_1,
inference(rat,[],[s1,s80]) ).
cnf(s82,plain,
( ~ spl0_23
| ~ spl0_17 ),
inference(rat,[],[s38,s3,s8,s48,s33,s2,s41,s81]) ).
cnf(s83,plain,
( ~ spl0_17
| ~ spl0_8 ),
inference(rat,[],[s54,s7,s12,s24,s50,s19,s45,s14,s82,s2,s41,s81]) ).
cnf(s84,plain,
( ~ spl0_28
| ~ spl0_8 ),
inference(rat,[],[s23,s16,s2,s29,s46,s12,s39,s10,s8,s30,s33,s7,s5,s14,s47,s64,s45,s9,s83,s81]) ).
cnf(s85,plain,
~ spl0_8,
inference(rat,[],[s17,s10,s6,s3,s62,s63,s37,s21,s14,s61,s33,s5,s8,s72,s39,s12,s50,s19,s84,s9,s83,s81]) ).
cnf(s86,plain,
spl0_7,
inference(rat,[],[s4,s85]) ).
cnf(s87,plain,
( ~ spl0_10
| ~ spl0_22
| ~ spl0_28 ),
inference(rat,[],[s60,s16,s21,s36,s32,s81]) ).
cnf(s88,plain,
( ~ spl0_13
| ~ spl0_28
| ~ spl0_4 ),
inference(rat,[],[s59,s10,s6,s30,s11,s5,s87,s12,s20,s8,s38,s3,s13,s86]) ).
cnf(s89,plain,
( ~ spl0_28
| ~ spl0_17 ),
inference(rat,[],[s49,s6,s16,s8,s11,s29,s20,s5,s12,s76,s54,s7,s88,s2,s41,s86,s81]) ).
cnf(s90,plain,
~ spl0_17,
inference(rat,[],[s54,s7,s12,s24,s50,s19,s89,s2,s41,s81]) ).
cnf(s91,plain,
spl0_18,
inference(rat,[],[s9,s90]) ).
cnf(s92,plain,
~ spl0_28,
inference(rat,[],[s59,s10,s6,s30,s11,s5,s87,s12,s46,s2,s3,s88,s13,s7,s47,s86,s91]) ).
cnf(s93,plain,
spl0_27,
inference(rat,[],[s19,s92]) ).
cnf(s94,plain,
~ spl0_21,
inference(rat,[],[s50,s81,s93]) ).
cnf(s95,plain,
~ spl0_23,
inference(rat,[],[s40,s86,s93]) ).
cnf(s96,plain,
spl0_22,
inference(rat,[],[s12,s94]) ).
cnf(s97,plain,
spl0_24,
inference(rat,[],[s14,s95]) ).
cnf(s98,plain,
~ spl0_6,
inference(rat,[],[s37,s91,s97]) ).
cnf(s99,plain,
spl0_5,
inference(rat,[],[s3,s98]) ).
cnf(s100,plain,
~ spl0_13,
inference(rat,[],[s13,s86,s99]) ).
cnf(s101,plain,
spl0_14,
inference(rat,[],[s7,s100]) ).
cnf(s106,plain,
~ spl0_10,
inference(rat,[],[s63,s6,s21,s17,s60,s10,s16,s43,s36,s97,s99,s81,s101,s96]) ).
cnf(s107,plain,
spl0_9,
inference(rat,[],[s5,s106]) ).
cnf(s108,plain,
~ spl0_29,
inference(rat,[],[s61,s93,s107]) ).
cnf(s109,plain,
~ spl0_11,
inference(rat,[],[s11,s86,s107]) ).
cnf(s110,plain,
spl0_30,
inference(rat,[],[s21,s108]) ).
cnf(s111,plain,
spl0_12,
inference(rat,[],[s6,s109]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s63,s97,s110,s111]) ).
fof(f557,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ028-5 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n008.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 22:31:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 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
% 2.13/1.15 % (1665077)Input is clausal, will run a generic CNF schedule.
% 2.13/1.15 % (1665085)lrs+10_1_sil=8000:sp=occurrence:random_seed=1074070093:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.13/1.15 % (1665085)First to succeed.
% 2.13/1.15 % (1665085)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1665077"
% 2.13/1.15 % (1665087)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3599697875:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.13/1.15 % (1665083)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2729567527:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.13/1.15 % (1665088)dis-21_1_sil=8000:lcm=predicate:random_seed=2351923710: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)
% 2.13/1.15 % (1665084)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3171303766:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.13/1.15 % (1665086)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=674507875:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.13/1.15 % (1665082)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=3163540692:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.13/1.15 % (1665086)Refutation not found, incomplete strategy
% 2.13/1.15 % (1665086)------------------------------
% 2.13/1.15 % (1665086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.15 % (1665086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.15 % (1665086)CaDiCaL version: 2.1.3
% 2.13/1.15 % (1665086)Termination reason: Refutation not found, incomplete strategy
% 2.13/1.15 % (1665086)Time elapsed: 0.001 s
% 2.13/1.15 % (1665086)Peak memory usage: 87 MB
% 2.13/1.15 % (1665087)Also succeeded, but the first one will report.
% 2.13/1.15 % (1665088)Instruction limit reached!
% 2.13/1.15 % (1665088)------------------------------
% 2.13/1.15 % (1665088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.15 % (1665088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.15 % (1665088)CaDiCaL version: 2.1.3
% 2.13/1.15 % (1665088)Termination reason: Instruction limit
% 2.13/1.15 % (1665088)Termination phase: Saturation
% 2.13/1.15 % (1665088)Time elapsed: 0.050 s
% 2.13/1.15 % (1665088)Peak memory usage: 87 MB
% 2.13/1.15 % (1665088)Instructions burned: 119 (million)
% 2.13/1.15 % (1665085)Refutation found. Thanks to Tanya!
% 2.13/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.13/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.34 % (1665085)------------------------------
% 2.74/1.34 % (1665085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.34 % (1665085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.34 % (1665085)CaDiCaL version: 2.1.3
% 2.74/1.34 % (1665085)Termination reason: Refutation
% 2.74/1.34 % (1665085)Time elapsed: 0.007 s
% 2.74/1.34 % (1665085)Peak memory usage: 89 MB
% 2.74/1.34 % (1665085)Instructions burned: 18 (million)
% 2.74/1.34 % (1665085)------------------------------
% 2.74/1.34 % (1665085)------------------------------
% 2.74/1.34 % (1665077)Success in time 0.302 s
% 2.74/1.34 % Vampire exiting
%------------------------------------------------------------------------------