%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:31:58 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.43s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 57
% Syntax : Number of formulae : 295 ( 22 unt; 25 def)
% Number of atoms : 660 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 662 ( 297 ~; 340 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 26 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ both(X0)
| salt(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both1) ).
fof(f2,axiom,
! [X0] :
( ~ both(X0)
| mustard(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both2) ).
fof(f3,axiom,
! [X0] :
( ~ salt(X0)
| ~ mustard(X0)
| both(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both3) ).
fof(f4,axiom,
! [X0] :
( ~ oneof(X0)
| salt(X0)
| mustard(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneof1) ).
fof(f5,axiom,
! [X0] :
( ~ oneof(X0)
| ~ both(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneof2) ).
fof(f6,axiom,
! [X0] :
( ~ oneof(X0)
| ~ neither(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneof3) ).
fof(f7,axiom,
! [X0] :
( both(X0)
| neither(X0)
| oneof(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_condition_holds1) ).
fof(f10,axiom,
! [X0] :
( ~ neither(X0)
| ~ salt(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neither2) ).
fof(f11,axiom,
! [X0] :
( ~ neither(X0)
| ~ mustard(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neither3) ).
fof(f13,axiom,
( ~ salt(barry)
| oneof(cole)
| oneof(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1_1) ).
fof(f14,axiom,
( ~ oneof(cole)
| salt(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1_2) ).
fof(f15,axiom,
( ~ oneof(lang)
| salt(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1_3) ).
fof(f16,axiom,
( ~ mustard(barry)
| neither(dix)
| both(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2_1) ).
fof(f17,axiom,
( ~ neither(dix)
| mustard(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2_2) ).
fof(f18,axiom,
( ~ both(mill)
| mustard(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2_3) ).
fof(f19,axiom,
( ~ salt(cole)
| oneof(barry)
| neither(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3_1) ).
fof(f20,axiom,
( ~ oneof(barry)
| salt(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3_2) ).
fof(f22,axiom,
( ~ mustard(cole)
| both(dix)
| both(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4_1) ).
fof(f24,axiom,
( ~ both(lang)
| mustard(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4_3) ).
fof(f25,axiom,
( ~ salt(dix)
| neither(barry)
| both(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5_1) ).
fof(f28,axiom,
( ~ mustard(dix)
| neither(lang)
| neither(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6_1) ).
fof(f32,axiom,
( ~ oneof(barry)
| salt(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7_2) ).
fof(f33,axiom,
( ~ oneof(dix)
| salt(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7_3) ).
fof(f34,axiom,
( ~ mustard(lang)
| neither(cole)
| neither(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8_1) ).
fof(f35,axiom,
( ~ neither(cole)
| mustard(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8_2) ).
fof(f36,axiom,
( ~ neither(mill)
| mustard(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8_3) ).
fof(f37,axiom,
( ~ salt(mill)
| both(barry)
| both(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9_1) ).
fof(f38,axiom,
( ~ both(barry)
| salt(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9_2) ).
fof(f39,axiom,
( ~ both(lang)
| mustard(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9_3) ).
fof(f40,axiom,
( ~ mustard(mill)
| oneof(cole)
| oneof(dix) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10_1) ).
fof(f41,axiom,
( ~ oneof(cole)
| mustard(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10_2) ).
fof(f43,negated_conjecture,
( ~ neither(cole)
| ~ neither(dix)
| ~ both(barry)
| ~ oneof(lang)
| ~ salt(mill)
| ~ mustard(lang)
| ~ oneof(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_who_takes_what) ).
fof(f44,plain,
! [X0] :
( ~ salt(X0)
| ~ both(X0) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f45,plain,
! [X0] :
( ~ mustard(X0)
| ~ both(X0) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f46,plain,
! [X0] :
( mustard(X0)
| salt(X0)
| both(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f47,plain,
! [X0] :
( oneof(X0)
| ~ salt(X0)
| ~ mustard(X0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f48,plain,
! [X0] :
( oneof(X0)
| ~ both(X0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f49,plain,
! [X0] :
( neither(X0)
| oneof(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f50,plain,
! [X0] :
( ~ neither(X0)
| both(X0)
| ~ oneof(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f53,plain,
! [X0] :
( neither(X0)
| salt(X0) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f54,plain,
! [X0] :
( neither(X0)
| mustard(X0) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f56,plain,
( salt(barry)
| ~ oneof(cole)
| ~ oneof(lang) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f57,plain,
( oneof(cole)
| ~ salt(barry) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f58,plain,
( oneof(lang)
| ~ salt(barry) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f59,plain,
( mustard(barry)
| ~ neither(dix)
| both(mill) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f60,plain,
( neither(dix)
| ~ mustard(barry) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f61,plain,
( ~ both(mill)
| ~ mustard(barry) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f62,plain,
( salt(cole)
| ~ oneof(barry)
| ~ neither(mill) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f63,plain,
( oneof(barry)
| ~ salt(cole) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f65,plain,
( mustard(cole)
| both(dix)
| both(lang) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f67,plain,
( ~ both(lang)
| ~ mustard(cole) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f68,plain,
( salt(dix)
| ~ neither(barry)
| both(cole) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f71,plain,
( mustard(dix)
| ~ neither(lang)
| ~ neither(mill) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f75,plain,
( oneof(barry)
| ~ salt(lang) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f76,plain,
( oneof(dix)
| ~ salt(lang) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f77,plain,
( mustard(lang)
| ~ neither(cole)
| ~ neither(mill) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f78,plain,
( neither(cole)
| ~ mustard(lang) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f79,plain,
( neither(mill)
| ~ mustard(lang) ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f80,plain,
( salt(mill)
| both(barry)
| both(lang) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f81,plain,
( ~ both(barry)
| ~ salt(mill) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f82,plain,
( ~ both(lang)
| ~ mustard(mill) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f83,plain,
( mustard(mill)
| ~ oneof(cole)
| ~ oneof(dix) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f84,plain,
( oneof(cole)
| ~ mustard(mill) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f86,plain,
( neither(cole)
| neither(dix)
| ~ both(barry)
| oneof(lang)
| salt(mill)
| mustard(lang)
| oneof(mill) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f88,definition,
( spl0_1
<=> oneof(mill) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f89,plain,
( ~ oneof(mill)
| spl0_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl0_2
<=> mustard(lang) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f93,plain,
( ~ mustard(lang)
| spl0_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( mustard(lang)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_3
<=> salt(mill) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f98,plain,
( salt(mill)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl0_4
<=> oneof(lang) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f101,plain,
( ~ oneof(lang)
| spl0_4 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl0_5
<=> both(barry) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f108,definition,
( spl0_6
<=> neither(dix) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f109,plain,
( ~ neither(dix)
| spl0_6 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( neither(dix)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f112,definition,
( spl0_7
<=> neither(cole) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f113,plain,
( ~ neither(cole)
| spl0_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( neither(cole)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f86,f112,f108,f104,f100,f96,f92,f88]) ).
fof(f117,definition,
( spl0_8
<=> mustard(mill) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f118,plain,
( mustard(mill)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,definition,
( spl0_9
<=> oneof(dix) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f122,plain,
( ~ oneof(dix)
| spl0_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f126,definition,
( spl0_10
<=> oneof(cole) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f127,plain,
( ~ oneof(cole)
| spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f84,f126,f117]) ).
fof(f130,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f83,f117,f126,f121]) ).
fof(f132,definition,
( spl0_11
<=> both(lang) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f135,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f82,f132,f117]) ).
fof(f136,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f81,f104,f96]) ).
fof(f137,plain,
( spl0_11
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f80,f96,f104,f132]) ).
fof(f139,definition,
( spl0_12
<=> neither(mill) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f140,plain,
( ~ neither(mill)
| spl0_12 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( neither(mill)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( ~ spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f79,f139,f92]) ).
fof(f143,plain,
( ~ spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f78,f112,f92]) ).
fof(f144,plain,
( ~ spl0_12
| ~ spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f77,f92,f112,f139]) ).
fof(f146,definition,
( spl0_13
<=> salt(lang) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f149,plain,
( ~ spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f121,f146]) ).
fof(f151,definition,
( spl0_14
<=> oneof(barry) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f152,plain,
( ~ oneof(barry)
| spl0_14 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f75,f151,f146]) ).
fof(f157,definition,
( spl0_15
<=> mustard(dix) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f158,plain,
( mustard(dix)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f162,definition,
( spl0_16
<=> neither(lang) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f163,plain,
( ~ neither(lang)
| spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( neither(lang)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,plain,
( ~ spl0_12
| ~ spl0_16
| spl0_15 ),
inference(avatar_split_clause,[],[f71,f157,f162,f139]) ).
fof(f168,definition,
( spl0_17
<=> salt(dix) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f169,plain,
( salt(dix)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f172,definition,
( spl0_18
<=> both(cole) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f177,definition,
( spl0_19
<=> neither(barry) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f178,plain,
( ~ neither(barry)
| spl0_19 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f179,plain,
( neither(barry)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f181,plain,
( spl0_18
| ~ spl0_19
| spl0_17 ),
inference(avatar_split_clause,[],[f68,f168,f177,f172]) ).
fof(f183,definition,
( spl0_20
<=> mustard(cole) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f184,plain,
( mustard(cole)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,plain,
( ~ spl0_20
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f67,f132,f183]) ).
fof(f188,definition,
( spl0_21
<=> both(dix) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f192,plain,
( spl0_11
| spl0_21
| spl0_20 ),
inference(avatar_split_clause,[],[f65,f183,f188,f132]) ).
fof(f194,definition,
( spl0_22
<=> salt(cole) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f195,plain,
( salt(cole)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f198,plain,
( ~ spl0_22
| spl0_14 ),
inference(avatar_split_clause,[],[f63,f151,f194]) ).
fof(f199,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f62,f194,f151,f139]) ).
fof(f201,definition,
( spl0_23
<=> mustard(barry) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f202,plain,
( mustard(barry)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( ~ mustard(barry)
| spl0_23 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_24
<=> both(mill) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f208,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f61,f205,f201]) ).
fof(f209,plain,
( ~ spl0_23
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f108,f201]) ).
fof(f210,plain,
( spl0_24
| ~ spl0_6
| spl0_23 ),
inference(avatar_split_clause,[],[f59,f201,f108,f205]) ).
fof(f212,definition,
( spl0_25
<=> salt(barry) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f213,plain,
( salt(barry)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( ~ spl0_25
| spl0_4 ),
inference(avatar_split_clause,[],[f58,f100,f212]) ).
fof(f216,plain,
( ~ spl0_25
| spl0_10 ),
inference(avatar_split_clause,[],[f57,f126,f212]) ).
fof(f217,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_25 ),
inference(avatar_split_clause,[],[f56,f212,f126,f100]) ).
fof(f218,plain,
( ~ both(barry)
| spl0_14 ),
inference(resolution,[],[f48,f152]) ).
fof(f219,plain,
( ~ both(cole)
| spl0_10 ),
inference(resolution,[],[f48,f127]) ).
fof(f220,plain,
( ~ both(lang)
| spl0_4 ),
inference(resolution,[],[f48,f101]) ).
fof(f221,plain,
( ~ both(dix)
| spl0_9 ),
inference(resolution,[],[f48,f122]) ).
fof(f222,plain,
( ~ both(mill)
| spl0_1 ),
inference(resolution,[],[f48,f89]) ).
fof(f223,plain,
( ~ spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f100,f132]) ).
fof(f225,plain,
( oneof(cole)
| spl0_7 ),
inference(resolution,[],[f49,f113]) ).
fof(f227,plain,
( oneof(dix)
| spl0_6 ),
inference(resolution,[],[f49,f109]) ).
fof(f228,plain,
( oneof(mill)
| spl0_12 ),
inference(resolution,[],[f49,f140]) ).
fof(f229,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f228,f139,f88]) ).
fof(f230,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f227,f108,f121]) ).
fof(f231,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f225,f112,f126]) ).
fof(f233,plain,
( ~ spl0_18
| spl0_10 ),
inference(avatar_split_clause,[],[f219,f126,f172]) ).
fof(f234,plain,
( ~ both(lang)
| ~ spl0_2 ),
inference(resolution,[],[f94,f45]) ).
fof(f235,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f234,f92,f132]) ).
fof(f238,plain,
( ~ both(dix)
| ~ spl0_17 ),
inference(resolution,[],[f169,f44]) ).
fof(f239,plain,
( ~ both(barry)
| ~ spl0_23 ),
inference(resolution,[],[f202,f45]) ).
fof(f240,plain,
( ~ both(barry)
| ~ spl0_25 ),
inference(resolution,[],[f213,f44]) ).
fof(f246,plain,
( salt(cole)
| spl0_7 ),
inference(resolution,[],[f53,f113]) ).
fof(f247,plain,
( salt(mill)
| spl0_12 ),
inference(resolution,[],[f53,f140]) ).
fof(f248,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f247,f139,f96]) ).
fof(f249,plain,
( spl0_22
| spl0_7 ),
inference(avatar_split_clause,[],[f246,f112,f194]) ).
fof(f250,plain,
( ~ both(mill)
| ~ spl0_3 ),
inference(resolution,[],[f98,f44]) ).
fof(f251,plain,
( mustard(mill)
| spl0_12 ),
inference(resolution,[],[f54,f140]) ).
fof(f252,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f251,f139,f117]) ).
fof(f253,plain,
( mustard(cole)
| spl0_7 ),
inference(resolution,[],[f113,f54]) ).
fof(f257,plain,
( spl0_20
| spl0_7 ),
inference(avatar_split_clause,[],[f253,f112,f183]) ).
fof(f258,plain,
( ~ spl0_21
| spl0_9 ),
inference(avatar_split_clause,[],[f221,f121,f188]) ).
fof(f259,plain,
( ~ spl0_21
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f238,f168,f188]) ).
fof(f261,plain,
( ~ both(mill)
| ~ spl0_8 ),
inference(resolution,[],[f118,f45]) ).
fof(f263,plain,
( ~ both(dix)
| ~ spl0_15 ),
inference(resolution,[],[f158,f45]) ).
fof(f264,plain,
( ~ spl0_21
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f263,f157,f188]) ).
fof(f265,plain,
( mustard(lang)
| spl0_16 ),
inference(resolution,[],[f163,f54]) ).
fof(f266,plain,
( salt(lang)
| spl0_16 ),
inference(resolution,[],[f163,f53]) ).
fof(f269,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f266,f162,f146]) ).
fof(f271,plain,
( ~ both(cole)
| ~ spl0_22 ),
inference(resolution,[],[f195,f44]) ).
fof(f272,plain,
( ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f271,f194,f172]) ).
fof(f274,plain,
( salt(barry)
| spl0_19 ),
inference(resolution,[],[f178,f53]) ).
fof(f284,plain,
( both(cole)
| ~ oneof(cole)
| ~ spl0_7 ),
inference(resolution,[],[f50,f114]) ).
fof(f285,plain,
( both(dix)
| ~ oneof(dix)
| ~ spl0_6 ),
inference(resolution,[],[f50,f110]) ).
fof(f286,plain,
( both(mill)
| ~ oneof(mill)
| ~ spl0_12 ),
inference(resolution,[],[f50,f141]) ).
fof(f287,plain,
( ~ spl0_1
| spl0_24
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f286,f139,f205,f88]) ).
fof(f288,plain,
( ~ spl0_10
| spl0_18
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f284,f112,f172,f126]) ).
fof(f289,plain,
( spl0_25
| spl0_19 ),
inference(avatar_split_clause,[],[f274,f177,f212]) ).
fof(f290,plain,
( ~ spl0_9
| spl0_21
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f285,f108,f188,f121]) ).
fof(f291,plain,
( ~ salt(mill)
| ~ mustard(mill)
| spl0_1 ),
inference(resolution,[],[f89,f47]) ).
fof(f293,plain,
( mustard(dix)
| spl0_6 ),
inference(resolution,[],[f109,f54]) ).
fof(f297,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f293,f108,f157]) ).
fof(f299,plain,
( ~ salt(cole)
| ~ mustard(cole)
| spl0_10 ),
inference(resolution,[],[f127,f47]) ).
fof(f301,plain,
( ~ spl0_20
| ~ spl0_22
| spl0_10 ),
inference(avatar_split_clause,[],[f299,f126,f194,f183]) ).
fof(f302,plain,
( ~ spl0_8
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f291,f88,f96,f117]) ).
fof(f303,plain,
( ~ spl0_24
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f250,f96,f205]) ).
fof(f304,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f261,f117,f205]) ).
fof(f305,plain,
( ~ spl0_24
| spl0_1 ),
inference(avatar_split_clause,[],[f222,f88,f205]) ).
fof(f306,plain,
( ~ spl0_5
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f240,f212,f104]) ).
fof(f307,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f239,f201,f104]) ).
fof(f308,plain,
( salt(lang)
| both(lang)
| spl0_2 ),
inference(resolution,[],[f93,f46]) ).
fof(f309,plain,
( spl0_11
| spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f308,f92,f146,f132]) ).
fof(f310,plain,
( ~ spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f218,f151,f104]) ).
fof(f320,plain,
( ~ salt(dix)
| ~ mustard(dix)
| spl0_9 ),
inference(resolution,[],[f122,f47]) ).
fof(f325,plain,
( both(lang)
| ~ oneof(lang)
| ~ spl0_16 ),
inference(resolution,[],[f164,f50]) ).
fof(f326,plain,
( both(barry)
| ~ oneof(barry)
| ~ spl0_19 ),
inference(resolution,[],[f179,f50]) ).
fof(f327,plain,
( ~ both(cole)
| ~ spl0_20 ),
inference(resolution,[],[f184,f45]) ).
fof(f328,plain,
( ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f327,f183,f172]) ).
fof(f329,plain,
( ~ spl0_15
| ~ spl0_17
| spl0_9 ),
inference(avatar_split_clause,[],[f320,f121,f168,f157]) ).
fof(f337,plain,
( salt(barry)
| both(barry)
| spl0_23 ),
inference(resolution,[],[f203,f46]) ).
fof(f338,plain,
( spl0_5
| spl0_25
| spl0_23 ),
inference(avatar_split_clause,[],[f337,f201,f212,f104]) ).
fof(f339,plain,
( ~ spl0_14
| spl0_5
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f326,f177,f104,f151]) ).
fof(f340,plain,
( ~ spl0_4
| spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f325,f162,f132,f100]) ).
fof(f341,plain,
( spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f265,f162,f92]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f115]) ).
cnf(s3,plain,
( ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f129]) ).
cnf(s4,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f130]) ).
cnf(s5,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f135]) ).
cnf(s6,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f136]) ).
cnf(s7,plain,
( spl0_3
| spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f137]) ).
cnf(s8,plain,
( ~ spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f142]) ).
cnf(s9,plain,
( ~ spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f143]) ).
cnf(s10,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_12 ),
inference(sat_conversion,[],[f144]) ).
cnf(s11,plain,
( spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f149]) ).
cnf(s12,plain,
( ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f154]) ).
cnf(s16,plain,
( ~ spl0_12
| spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s19,plain,
( spl0_17
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f181]) ).
cnf(s20,plain,
( ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f186]) ).
cnf(s22,plain,
( spl0_11
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f192]) ).
cnf(s24,plain,
( spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f198]) ).
cnf(s25,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f199]) ).
cnf(s26,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f208]) ).
cnf(s27,plain,
( spl0_6
| ~ spl0_23 ),
inference(sat_conversion,[],[f209]) ).
cnf(s28,plain,
( ~ spl0_6
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f210]) ).
cnf(s29,plain,
( spl0_4
| ~ spl0_25 ),
inference(sat_conversion,[],[f215]) ).
cnf(s30,plain,
( spl0_10
| ~ spl0_25 ),
inference(sat_conversion,[],[f216]) ).
cnf(s31,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_25 ),
inference(sat_conversion,[],[f217]) ).
cnf(s32,plain,
( spl0_4
| ~ spl0_11 ),
inference(sat_conversion,[],[f223]) ).
cnf(s33,plain,
( spl0_1
| spl0_12 ),
inference(sat_conversion,[],[f229]) ).
cnf(s34,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f230]) ).
cnf(s35,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f231]) ).
cnf(s37,plain,
( spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f233]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_11 ),
inference(sat_conversion,[],[f235]) ).
cnf(s41,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f248]) ).
cnf(s42,plain,
( spl0_7
| spl0_22 ),
inference(sat_conversion,[],[f249]) ).
cnf(s43,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f252]) ).
cnf(s45,plain,
( spl0_7
| spl0_20 ),
inference(sat_conversion,[],[f257]) ).
cnf(s47,plain,
( spl0_9
| ~ spl0_21 ),
inference(sat_conversion,[],[f258]) ).
cnf(s49,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(sat_conversion,[],[f259]) ).
cnf(s50,plain,
( ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f264]) ).
cnf(s51,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f269]) ).
cnf(s52,plain,
( ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f272]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_24 ),
inference(sat_conversion,[],[f287]) ).
cnf(s54,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f288]) ).
cnf(s55,plain,
( spl0_19
| spl0_25 ),
inference(sat_conversion,[],[f289]) ).
cnf(s57,plain,
( ~ spl0_6
| ~ spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f290]) ).
cnf(s58,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f297]) ).
cnf(s59,plain,
( spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f301]) ).
cnf(s63,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f302]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(sat_conversion,[],[f303]) ).
cnf(s65,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(sat_conversion,[],[f304]) ).
cnf(s66,plain,
( spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f305]) ).
cnf(s68,plain,
( ~ spl0_5
| ~ spl0_25 ),
inference(sat_conversion,[],[f306]) ).
cnf(s69,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(sat_conversion,[],[f307]) ).
cnf(s70,plain,
( spl0_2
| spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f309]) ).
cnf(s71,plain,
( ~ spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f310]) ).
cnf(s76,plain,
( ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f328]) ).
cnf(s79,plain,
( spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f329]) ).
cnf(s82,plain,
( spl0_5
| spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f338]) ).
cnf(s83,plain,
( spl0_5
| ~ spl0_14
| ~ spl0_19 ),
inference(sat_conversion,[],[f339]) ).
cnf(s85,plain,
( ~ spl0_4
| spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f340]) ).
cnf(s86,plain,
( spl0_2
| spl0_16 ),
inference(sat_conversion,[],[f341]) ).
cnf(s87,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s1,s83,s63,s55,s4,s57,s29,s11,s85,s70,s24,s20,s50,s35,s42,s45,s16,s10,s86,s33]) ).
cnf(s88,plain,
( ~ spl0_5
| spl0_1 ),
inference(rat,[],[s22,s59,s50,s54,s58,s52,s28,s25,s69,s71,s66,s33,s38,s9,s87]) ).
cnf(s89,plain,
( spl0_6
| spl0_1 ),
inference(rat,[],[s30,s82,s4,s27,s34,s63,s7,s88,s38,s87]) ).
cnf(s90,plain,
( spl0_10
| spl0_1 ),
inference(rat,[],[s79,s16,s57,s51,s49,s12,s19,s83,s55,s30,s37,s33,s88,s89]) ).
cnf(s91,plain,
spl0_1,
inference(rat,[],[s22,s47,s76,s4,s54,s90,s63,s7,s88,s9,s38,s87]) ).
cnf(s92,plain,
( spl0_10
| spl0_5 ),
inference(rat,[],[s53,s26,s43,s82,s3,s30,s91]) ).
cnf(s93,plain,
( spl0_25
| spl0_5 ),
inference(rat,[],[s8,s70,s53,s12,s32,s26,s83,s31,s82,s55,s92,s91]) ).
cnf(s94,plain,
( ~ spl0_12
| spl0_5 ),
inference(rat,[],[s45,s10,s20,s38,s7,s64,s53,s91]) ).
cnf(s95,plain,
spl0_5,
inference(rat,[],[s85,s86,s5,s8,s43,s94,s29,s93]) ).
cnf(s96,plain,
spl0_14,
inference(rat,[],[s71,s95]) ).
cnf(s98,plain,
~ spl0_25,
inference(rat,[],[s68,s95]) ).
cnf(s99,plain,
~ spl0_3,
inference(rat,[],[s6,s95]) ).
cnf(s100,plain,
spl0_19,
inference(rat,[],[s55,s98]) ).
cnf(s101,plain,
spl0_12,
inference(rat,[],[s41,s99]) ).
cnf(s102,plain,
spl0_24,
inference(rat,[],[s53,s91,s101]) ).
cnf(s103,plain,
spl0_22,
inference(rat,[],[s25,s96,s101]) ).
cnf(s104,plain,
~ spl0_8,
inference(rat,[],[s65,s102]) ).
cnf(s105,plain,
~ spl0_18,
inference(rat,[],[s52,s103]) ).
cnf(s106,plain,
spl0_17,
inference(rat,[],[s19,s100,s105]) ).
cnf(s107,plain,
~ spl0_21,
inference(rat,[],[s49,s106]) ).
cnf(s108,plain,
spl0_10,
inference(rat,[],[s38,s22,s10,s59,s35,s107,s101,s103]) ).
cnf(s109,plain,
~ spl0_4,
inference(rat,[],[s31,s98,s108]) ).
cnf(s110,plain,
~ spl0_9,
inference(rat,[],[s4,s104,s108]) ).
cnf(s111,plain,
~ spl0_7,
inference(rat,[],[s54,s105,s108]) ).
cnf(s112,plain,
~ spl0_11,
inference(rat,[],[s32,s109]) ).
cnf(s114,plain,
~ spl0_13,
inference(rat,[],[s11,s110]) ).
cnf(s117,plain,
~ spl0_2,
inference(rat,[],[s9,s111]) ).
cnf(s119,plain,
$false,
inference(rat,[],[s70,s112,s117,s114]) ).
fof(f342,plain,
$false,
inference(avatar_sat_refutation,[],[s119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 22:29:10 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39 Running first-order model finding
% 0.08/0.39 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
% 0.08/0.43 % (1837060)Will run a generic schedule for satisfiability detection.
% 0.08/0.43 % (1837071)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=426189734:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.43 % (1837066)% WARNING: option uhcvi not known.
% 0.08/0.43 % (1837071) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1837060-1837071"...
% 0.08/0.43 % (1837071)...printing done.
% 0.08/0.43 % (1837071)Refutation found. Thanks to Tanya!
% 0.08/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.44 % (1837071)------------------------------
% 0.08/0.44 % (1837071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.44 % (1837071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.44 % (1837071)CaDiCaL version: 2.1.3
% 0.08/0.44 % (1837071)Termination reason: Refutation
% 0.08/0.44 % (1837071)Time elapsed: 0.003 s
% 0.08/0.44 % (1837071)Peak memory usage: 12 MB
% 0.08/0.44 % (1837071)Instructions burned: 7 (million)
% 0.08/0.44 % (1837060)Success in time 0.032 s
% 0.08/0.44 % Vampire exiting
%------------------------------------------------------------------------------