%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:31:17 PM UTC 2026
% Result : Unsatisfiable 2.38s 1.15s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 55
% Syntax : Number of formulae : 284 ( 17 unt; 25 def)
% Number of atoms : 661 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 688 ( 311 ~; 352 |; 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 : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ both(X0)
| salt(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both1) ).
fof(f2,axiom,
! [X0] :
( ~ both(X0)
| mustard(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both2) ).
fof(f3,axiom,
! [X0] :
( ~ mustard(X0)
| ~ salt(X0)
| both(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both3) ).
fof(f4,axiom,
! [X0] :
( ~ oneof(X0)
| salt(X0)
| mustard(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof1) ).
fof(f5,axiom,
! [X0] :
( ~ oneof(X0)
| ~ both(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof2) ).
fof(f6,axiom,
! [X0] :
( ~ neither(X0)
| ~ oneof(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof3) ).
fof(f7,axiom,
! [X0] :
( neither(X0)
| both(X0)
| oneof(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_condition_holds1) ).
fof(f10,axiom,
! [X0] :
( ~ neither(X0)
| ~ salt(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither2) ).
fof(f11,axiom,
! [X0] :
( ~ neither(X0)
| ~ mustard(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither3) ).
fof(f14,axiom,
( ~ oneof(cole)
| salt(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_2) ).
fof(f15,axiom,
( ~ oneof(lang)
| salt(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_3) ).
fof(f16,axiom,
( ~ mustard(barry)
| neither(dix)
| both(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_1) ).
fof(f17,axiom,
( ~ neither(dix)
| mustard(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_2) ).
fof(f18,axiom,
( ~ both(mill)
| mustard(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_3) ).
fof(f19,axiom,
( ~ salt(cole)
| oneof(barry)
| neither(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_1) ).
fof(f22,axiom,
( ~ mustard(cole)
| both(dix)
| both(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_1) ).
fof(f24,axiom,
( ~ both(lang)
| mustard(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_3) ).
fof(f25,axiom,
( ~ salt(dix)
| neither(barry)
| both(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_1) ).
fof(f28,axiom,
( ~ mustard(dix)
| neither(lang)
| neither(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_1) ).
fof(f29,axiom,
( ~ neither(lang)
| mustard(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_2) ).
fof(f31,axiom,
( ~ salt(lang)
| oneof(barry)
| oneof(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_1) ).
fof(f32,axiom,
( ~ oneof(barry)
| salt(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_2) ).
fof(f33,axiom,
( ~ oneof(dix)
| salt(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_3) ).
fof(f34,axiom,
( ~ mustard(lang)
| neither(cole)
| neither(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_1) ).
fof(f35,axiom,
( ~ neither(cole)
| mustard(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_2) ).
fof(f36,axiom,
( ~ neither(mill)
| mustard(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_3) ).
fof(f38,axiom,
( ~ both(barry)
| salt(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_2) ).
fof(f39,axiom,
( ~ both(lang)
| mustard(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_3) ).
fof(f40,axiom,
( ~ mustard(mill)
| oneof(cole)
| oneof(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_1) ).
fof(f43,negated_conjecture,
( ~ neither(cole)
| ~ neither(dix)
| ~ both(barry)
| ~ oneof(lang)
| ~ salt(mill)
| ~ mustard(lang)
| ~ oneof(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).
fof(f45,definition,
( spl0_1
<=> oneof(mill) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( oneof(mill)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,definition,
( spl0_2
<=> mustard(lang) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f50,plain,
( mustard(lang)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( ~ mustard(lang)
| spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl0_3
<=> salt(mill) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f54,plain,
( salt(mill)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl0_4
<=> oneof(lang) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f58,plain,
( oneof(lang)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( ~ oneof(lang)
| spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f61,definition,
( spl0_5
<=> both(barry) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f62,plain,
( both(barry)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
( ~ both(barry)
| spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl0_6
<=> neither(dix) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f66,plain,
( neither(dix)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ neither(dix)
| spl0_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl0_7
<=> neither(cole) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f70,plain,
( neither(cole)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( ~ neither(cole)
| spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f43,f69,f65,f61,f57,f53,f49,f45]) ).
fof(f74,definition,
( spl0_8
<=> mustard(mill) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f75,plain,
( ~ mustard(mill)
| spl0_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( mustard(mill)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_9
<=> oneof(dix) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f79,plain,
( oneof(dix)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f83,definition,
( spl0_10
<=> oneof(cole) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f84,plain,
( oneof(cole)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,plain,
( spl0_9
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f40,f74,f83,f78]) ).
fof(f89,definition,
( spl0_11
<=> both(lang) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f90,plain,
( both(lang)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( ~ both(lang)
| spl0_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f39,f89,f74]) ).
fof(f93,plain,
( spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f38,f61,f53]) ).
fof(f96,definition,
( spl0_12
<=> neither(mill) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f97,plain,
( neither(mill)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( ~ neither(mill)
| spl0_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f36,f96,f49]) ).
fof(f100,plain,
( spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f35,f69,f49]) ).
fof(f101,plain,
( spl0_12
| spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f34,f49,f69,f96]) ).
fof(f103,definition,
( spl0_13
<=> salt(lang) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f104,plain,
( ~ salt(lang)
| spl0_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f105,plain,
( salt(lang)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_13
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f33,f78,f103]) ).
fof(f108,definition,
( spl0_14
<=> oneof(barry) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f109,plain,
( oneof(barry)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f32,f108,f103]) ).
fof(f112,plain,
( spl0_9
| spl0_14
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f31,f103,f108,f78]) ).
fof(f114,definition,
( spl0_15
<=> mustard(dix) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f115,plain,
( ~ mustard(dix)
| spl0_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f119,definition,
( spl0_16
<=> neither(lang) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f120,plain,
( neither(lang)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f121,plain,
( ~ neither(lang)
| spl0_16 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f29,f119,f114]) ).
fof(f123,plain,
( spl0_12
| spl0_16
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f28,f114,f119,f96]) ).
fof(f125,definition,
( spl0_17
<=> salt(dix) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f126,plain,
( ~ salt(dix)
| spl0_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl0_18
<=> both(cole) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f130,plain,
( both(cole)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( ~ both(cole)
| spl0_18 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f134,definition,
( spl0_19
<=> neither(barry) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f135,plain,
( neither(barry)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( ~ neither(barry)
| spl0_19 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,plain,
( spl0_18
| spl0_19
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f25,f125,f134,f129]) ).
fof(f140,definition,
( spl0_20
<=> mustard(cole) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f141,plain,
( ~ mustard(cole)
| spl0_20 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_20
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f24,f89,f140]) ).
fof(f145,definition,
( spl0_21
<=> both(dix) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f146,plain,
( both(dix)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( ~ both(dix)
| spl0_21 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,plain,
( spl0_11
| spl0_21
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f22,f140,f145,f89]) ).
fof(f151,definition,
( spl0_22
<=> salt(cole) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f152,plain,
( ~ salt(cole)
| spl0_22 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f156,plain,
( spl0_12
| spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f19,f151,f108,f96]) ).
fof(f158,definition,
( spl0_23
<=> mustard(barry) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f159,plain,
( ~ mustard(barry)
| spl0_23 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( mustard(barry)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_24
<=> both(mill) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f163,plain,
( both(mill)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( ~ both(mill)
| spl0_24 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f18,f162,f158]) ).
fof(f166,plain,
( spl0_23
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f17,f65,f158]) ).
fof(f167,plain,
( spl0_24
| spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f16,f158,f65,f162]) ).
fof(f169,definition,
( spl0_25
<=> salt(barry) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f171,plain,
( salt(barry)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( spl0_25
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f15,f57,f169]) ).
fof(f173,plain,
( spl0_25
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f14,f83,f169]) ).
fof(f179,plain,
( both(barry)
| oneof(barry)
| spl0_19 ),
inference(resolution,[],[f7,f136]) ).
fof(f180,plain,
( both(cole)
| oneof(cole)
| spl0_7 ),
inference(resolution,[],[f7,f71]) ).
fof(f181,plain,
( both(lang)
| oneof(lang)
| spl0_16 ),
inference(resolution,[],[f7,f121]) ).
fof(f182,plain,
( both(dix)
| oneof(dix)
| spl0_6 ),
inference(resolution,[],[f7,f67]) ).
fof(f183,plain,
( both(mill)
| oneof(mill)
| spl0_12 ),
inference(resolution,[],[f7,f98]) ).
fof(f184,plain,
( oneof(mill)
| spl0_12
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f183,f164]) ).
fof(f185,plain,
( oneof(dix)
| spl0_6
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f182,f147]) ).
fof(f186,plain,
( oneof(lang)
| spl0_11
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f181,f91]) ).
fof(f187,plain,
( oneof(cole)
| spl0_7
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f180,f131]) ).
fof(f188,plain,
( oneof(barry)
| spl0_5
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f179,f63]) ).
fof(f189,plain,
( spl0_1
| spl0_12
| spl0_24 ),
inference(avatar_split_clause,[],[f184,f162,f96,f45]) ).
fof(f192,plain,
( $false
| spl0_4
| spl0_11
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f186,f59]) ).
fof(f193,plain,
( spl0_4
| spl0_11
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f198,plain,
( ~ salt(lang)
| both(lang)
| ~ spl0_2 ),
inference(resolution,[],[f50,f3]) ).
fof(f199,plain,
( both(lang)
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f198,f105]) ).
fof(f200,plain,
( $false
| ~ spl0_2
| spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f199,f91]) ).
fof(f201,plain,
( ~ spl0_2
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f202,plain,
( ~ mustard(cole)
| ~ spl0_7 ),
inference(resolution,[],[f70,f11]) ).
fof(f205,plain,
( ~ oneof(cole)
| ~ spl0_7 ),
inference(resolution,[],[f70,f6]) ).
fof(f210,plain,
( ~ mustard(dix)
| ~ spl0_6 ),
inference(resolution,[],[f66,f11]) ).
fof(f213,plain,
( ~ oneof(dix)
| ~ spl0_6 ),
inference(resolution,[],[f66,f6]) ).
fof(f218,plain,
( spl0_9
| spl0_6
| spl0_21 ),
inference(avatar_split_clause,[],[f185,f145,f65,f78]) ).
fof(f222,plain,
( salt(dix)
| mustard(dix)
| ~ spl0_9 ),
inference(resolution,[],[f79,f4]) ).
fof(f229,plain,
( salt(lang)
| mustard(lang)
| ~ spl0_4 ),
inference(resolution,[],[f58,f4]) ).
fof(f232,plain,
( mustard(cole)
| ~ spl0_18 ),
inference(resolution,[],[f130,f2]) ).
fof(f233,plain,
( salt(cole)
| ~ spl0_18 ),
inference(resolution,[],[f130,f1]) ).
fof(f236,plain,
( $false
| ~ spl0_18
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f232,f141]) ).
fof(f237,plain,
( ~ spl0_18
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f238,plain,
( salt(cole)
| mustard(cole)
| ~ spl0_10 ),
inference(resolution,[],[f84,f4]) ).
fof(f240,plain,
( mustard(cole)
| ~ spl0_10
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f238,f152]) ).
fof(f241,plain,
( $false
| ~ spl0_10
| spl0_20
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f240,f141]) ).
fof(f242,plain,
( ~ spl0_10
| spl0_20
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f244,plain,
( ~ both(barry)
| ~ spl0_14 ),
inference(resolution,[],[f109,f5]) ).
fof(f245,plain,
( ~ mustard(barry)
| ~ spl0_19 ),
inference(resolution,[],[f135,f11]) ).
fof(f246,plain,
( ~ salt(barry)
| ~ spl0_19 ),
inference(resolution,[],[f135,f10]) ).
fof(f248,plain,
( ~ oneof(barry)
| ~ spl0_19 ),
inference(resolution,[],[f135,f6]) ).
fof(f249,plain,
( $false
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f248,f109]) ).
fof(f250,plain,
( ~ spl0_14
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f251,plain,
( $false
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f246,f171]) ).
fof(f252,plain,
( ~ spl0_19
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f255,plain,
( mustard(dix)
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f222,f126]) ).
fof(f256,plain,
( $false
| ~ spl0_9
| spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f255,f115]) ).
fof(f257,plain,
( ~ spl0_9
| spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f259,plain,
( ~ mustard(lang)
| ~ spl0_16 ),
inference(resolution,[],[f120,f11]) ).
fof(f260,plain,
( ~ salt(lang)
| ~ spl0_16 ),
inference(resolution,[],[f120,f10]) ).
fof(f265,plain,
( $false
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f260,f105]) ).
fof(f266,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f267,plain,
( ~ spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f210,f65,f114]) ).
fof(f268,plain,
( ~ spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f213,f65,f78]) ).
fof(f275,plain,
( ~ salt(barry)
| both(barry)
| ~ spl0_23 ),
inference(resolution,[],[f160,f3]) ).
fof(f276,plain,
( both(barry)
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f275,f171]) ).
fof(f277,plain,
( $false
| spl0_5
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f276,f63]) ).
fof(f278,plain,
( spl0_5
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f279,plain,
( $false
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f244,f62]) ).
fof(f280,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f281,plain,
( mustard(lang)
| ~ spl0_4
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f229,f104]) ).
fof(f284,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f281,f51]) ).
fof(f285,plain,
( spl0_2
| ~ spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f286,plain,
( mustard(barry)
| ~ spl0_5 ),
inference(resolution,[],[f62,f2]) ).
fof(f288,plain,
( mustard(lang)
| ~ spl0_11 ),
inference(resolution,[],[f90,f2]) ).
fof(f292,plain,
( $false
| spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f288,f51]) ).
fof(f293,plain,
( spl0_2
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f295,plain,
( ~ spl0_20
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f202,f69,f140]) ).
fof(f296,plain,
( ~ spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f205,f69,f83]) ).
fof(f304,plain,
( mustard(mill)
| ~ spl0_24 ),
inference(resolution,[],[f163,f2]) ).
fof(f306,plain,
( $false
| spl0_8
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f304,f75]) ).
fof(f307,plain,
( spl0_8
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f308,plain,
( spl0_10
| spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f187,f129,f69,f83]) ).
fof(f314,plain,
( ~ mustard(mill)
| ~ spl0_12 ),
inference(resolution,[],[f97,f11]) ).
fof(f315,plain,
( ~ salt(mill)
| ~ spl0_12 ),
inference(resolution,[],[f97,f10]) ).
fof(f317,plain,
( ~ oneof(mill)
| ~ spl0_12 ),
inference(resolution,[],[f97,f6]) ).
fof(f318,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f317,f96,f45]) ).
fof(f321,plain,
( $false
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f315,f54]) ).
fof(f322,plain,
( ~ spl0_3
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f323,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f314,f76]) ).
fof(f324,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f325,plain,
( $false
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f259,f50]) ).
fof(f326,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f327,plain,
( ~ spl0_23
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f245,f134,f158]) ).
fof(f328,plain,
( ~ spl0_25
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f246,f134,f169]) ).
fof(f329,plain,
( $false
| ~ spl0_5
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f286,f159]) ).
fof(f330,plain,
( ~ spl0_5
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f334,plain,
( ~ both(mill)
| ~ spl0_1 ),
inference(resolution,[],[f46,f5]) ).
fof(f350,plain,
( mustard(dix)
| ~ spl0_21 ),
inference(resolution,[],[f146,f2]) ).
fof(f351,plain,
( salt(dix)
| ~ spl0_21 ),
inference(resolution,[],[f146,f1]) ).
fof(f352,plain,
( $false
| spl0_17
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f351,f126]) ).
fof(f353,plain,
( spl0_17
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f354,plain,
( ~ spl0_24
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f334,f45,f162]) ).
fof(f355,plain,
( spl0_14
| spl0_5
| spl0_19 ),
inference(avatar_split_clause,[],[f188,f134,f61,f108]) ).
fof(f356,plain,
( spl0_22
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f233,f129,f151]) ).
fof(f357,plain,
( $false
| spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f350,f115]) ).
fof(f358,plain,
( spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f357]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f72]) ).
cnf(s4,plain,
( ~ spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f87]) ).
cnf(s5,plain,
( spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f92]) ).
cnf(s6,plain,
( spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f93]) ).
cnf(s8,plain,
( spl0_2
| ~ spl0_12 ),
inference(sat_conversion,[],[f99]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f100]) ).
cnf(s10,plain,
( ~ spl0_2
| spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f101]) ).
cnf(s11,plain,
( ~ spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f106]) ).
cnf(s12,plain,
( spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f111]) ).
cnf(s13,plain,
( spl0_9
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f112]) ).
cnf(s15,plain,
( spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f122]) ).
cnf(s16,plain,
( spl0_12
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f123]) ).
cnf(s19,plain,
( ~ spl0_17
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f143]) ).
cnf(s22,plain,
( spl0_11
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f149]) ).
cnf(s25,plain,
( spl0_12
| spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f156]) ).
cnf(s26,plain,
( spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f165]) ).
cnf(s27,plain,
( ~ spl0_6
| spl0_23 ),
inference(sat_conversion,[],[f166]) ).
cnf(s28,plain,
( spl0_6
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f167]) ).
cnf(s29,plain,
( ~ spl0_4
| spl0_25 ),
inference(sat_conversion,[],[f172]) ).
cnf(s30,plain,
( ~ spl0_10
| spl0_25 ),
inference(sat_conversion,[],[f173]) ).
cnf(s32,plain,
( spl0_1
| spl0_12
| spl0_24 ),
inference(sat_conversion,[],[f189]) ).
cnf(s34,plain,
( spl0_4
| spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f193]) ).
cnf(s37,plain,
( ~ spl0_2
| spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f201]) ).
cnf(s42,plain,
( spl0_6
| spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f218]) ).
cnf(s45,plain,
( ~ spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f237]) ).
cnf(s46,plain,
( ~ spl0_10
| spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f242]) ).
cnf(s47,plain,
( ~ spl0_14
| ~ spl0_19 ),
inference(sat_conversion,[],[f250]) ).
cnf(s48,plain,
( ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f252]) ).
cnf(s50,plain,
( ~ spl0_9
| spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f257]) ).
cnf(s52,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f266]) ).
cnf(s53,plain,
( ~ spl0_6
| ~ spl0_15 ),
inference(sat_conversion,[],[f267]) ).
cnf(s54,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f268]) ).
cnf(s55,plain,
( spl0_5
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f278]) ).
cnf(s56,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(sat_conversion,[],[f280]) ).
cnf(s58,plain,
( spl0_2
| ~ spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f285]) ).
cnf(s60,plain,
( spl0_2
| ~ spl0_11 ),
inference(sat_conversion,[],[f293]) ).
cnf(s62,plain,
( ~ spl0_7
| ~ spl0_20 ),
inference(sat_conversion,[],[f295]) ).
cnf(s63,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f296]) ).
cnf(s64,plain,
( spl0_8
| ~ spl0_24 ),
inference(sat_conversion,[],[f307]) ).
cnf(s65,plain,
( spl0_7
| spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f308]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(sat_conversion,[],[f318]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_12 ),
inference(sat_conversion,[],[f322]) ).
cnf(s69,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f324]) ).
cnf(s70,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(sat_conversion,[],[f326]) ).
cnf(s71,plain,
( ~ spl0_19
| ~ spl0_23 ),
inference(sat_conversion,[],[f327]) ).
cnf(s72,plain,
( ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f328]) ).
cnf(s73,plain,
( ~ spl0_5
| spl0_23 ),
inference(sat_conversion,[],[f330]) ).
cnf(s78,plain,
( spl0_17
| ~ spl0_21 ),
inference(sat_conversion,[],[f353]) ).
cnf(s79,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f354]) ).
cnf(s80,plain,
( spl0_5
| spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f355]) ).
cnf(s81,plain,
( ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f356]) ).
cnf(s82,plain,
( spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f358]) ).
cnf(s83,plain,
( spl0_5
| ~ spl0_23
| spl0_11 ),
inference(rat,[],[s34,s52,s29,s12,s55,s80,s71]) ).
cnf(s84,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s22,s78,s46,s19,s65,s81,s25,s56,s83,s71,s26,s32,s8,s9,s60]) ).
cnf(s85,plain,
( spl0_11
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s48,s80,s29,s12,s34,s37,s70]) ).
cnf(s86,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s10,s69,s62,s5,s20]) ).
cnf(s87,plain,
spl0_1,
inference(rat,[],[s4,s63,s64,s10,s32,s68,s6,s11,s85,s37,s86,s84]) ).
cnf(s88,plain,
~ spl0_24,
inference(rat,[],[s79,s87]) ).
cnf(s89,plain,
~ spl0_12,
inference(rat,[],[s66,s87]) ).
cnf(s90,plain,
( ~ spl0_14
| spl0_6
| spl0_11 ),
inference(rat,[],[s19,s50,s45,s42,s22,s82,s16,s52,s12,s47,s89]) ).
cnf(s91,plain,
( spl0_5
| spl0_2 ),
inference(rat,[],[s65,s30,s81,s72,s25,s80,s90,s27,s83,s60,s9,s89]) ).
cnf(s92,plain,
spl0_2,
inference(rat,[],[s34,s58,s15,s13,s53,s54,s28,s56,s73,s91,s60,s88]) ).
cnf(s93,plain,
~ spl0_16,
inference(rat,[],[s70,s92]) ).
cnf(s94,plain,
~ spl0_11,
inference(rat,[],[s86,s92]) ).
cnf(s95,plain,
spl0_7,
inference(rat,[],[s10,s89,s92]) ).
cnf(s96,plain,
~ spl0_15,
inference(rat,[],[s16,s89,s93]) ).
cnf(s97,plain,
spl0_4,
inference(rat,[],[s34,s94,s93]) ).
cnf(s98,plain,
~ spl0_13,
inference(rat,[],[s37,s92,s94]) ).
cnf(s99,plain,
spl0_5,
inference(rat,[],[s85,s92,s94]) ).
cnf(s103,plain,
~ spl0_21,
inference(rat,[],[s82,s96]) ).
cnf(s106,plain,
~ spl0_9,
inference(rat,[],[s11,s98]) ).
cnf(s108,plain,
spl0_3,
inference(rat,[],[s6,s99]) ).
cnf(s112,plain,
spl0_6,
inference(rat,[],[s42,s103,s106]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s1,s95,s97,s99,s92,s87,s108,s112]) ).
fof(f359,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n008.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 22:31:54 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 2.38/1.15 % (1665492)Input is clausal, will run a generic CNF schedule.
% 2.38/1.15 % (1665500)lrs+10_1_sil=8000:sp=occurrence:random_seed=572784023:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.38/1.15 % (1665500)First to succeed.
% 2.38/1.15 % (1665500)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1665492"
% 2.38/1.15 % (1665501)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1397494843:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.38/1.15 % (1665503)dis-21_1_sil=8000:lcm=predicate:random_seed=829664855: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)
% 2.38/1.15 % (1665498)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2581124395:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.38/1.15 % (1665497)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=981305152:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.38/1.15 % (1665499)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=637241061:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.38/1.15 % (1665502)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2779189972:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.38/1.15 % (1665501)Also succeeded, but the first one will report.
% 2.38/1.15 % (1665503)Also succeeded, but the first one will report.
% 2.38/1.15 % (1665502)Also succeeded, but the first one will report.
% 2.38/1.15 % (1665500)Refutation found. Thanks to Tanya!
% 2.38/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.38/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.25 % (1665500)------------------------------
% 2.58/1.25 % (1665500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.25 % (1665500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.25 % (1665500)CaDiCaL version: 2.1.3
% 2.58/1.25 % (1665500)Termination reason: Refutation
% 2.58/1.25 % (1665500)Time elapsed: 0.004 s
% 2.58/1.25 % (1665500)Peak memory usage: 89 MB
% 2.58/1.25 % (1665500)Instructions burned: 8 (million)
% 2.58/1.25 % (1665500)------------------------------
% 2.58/1.25 % (1665500)------------------------------
% 2.58/1.25 % (1665492)Success in time 0.295 s
% 2.58/1.25 % Vampire exiting
%------------------------------------------------------------------------------