%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 11:42:23 AM UTC 2026
% Result : Theorem 0.15s 0.44s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 37
% Syntax : Number of formulae : 165 ( 54 unt; 13 def)
% Number of atoms : 432 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 459 ( 192 ~; 187 |; 48 &)
% ( 25 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 14 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 48 ( 0 sgn 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f8,axiom,
! [X0] :
( cC110(X0)
<=> ( ~ cC102(X0)
& ~ cC108(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f10,axiom,
! [X0] :
( cC114(X0)
<=> ( ~ cC96(X0)
& ~ cC112(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( cC116(X0)
<=> ( cC114(X0)
& cC80(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f22,axiom,
! [X0] :
( cC136(X0)
<=> ( cC116(X0)
& ~ cC134(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f44,axiom,
! [X0] :
( cC56(X0)
<=> ( cC4(X0)
& ~ cC10(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f45,axiom,
! [X0] :
( cC58(X0)
<=> ( cC34(X0)
& cC56(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f58,axiom,
! [X0] :
( cC80(X0)
<=> ( ~ cC78(X0)
& ~ cC76(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f65,axiom,
! [X0] :
( cC94(X0)
<=> ( ~ cC86(X0)
& ~ cC92(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f71,axiom,
~ cC102(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f72,axiom,
~ cC134(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f75,axiom,
cC34(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
fof(f76,axiom,
cC4(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
fof(f77,axiom,
~ cC96(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(f78,axiom,
~ cC86(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(f79,axiom,
~ cC92(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
fof(f80,axiom,
~ cC108(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(f81,axiom,
cowlThing(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(f85,axiom,
~ cC10(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
fof(f87,axiom,
~ cC76(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
fof(f88,axiom,
~ cC112(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
fof(f89,axiom,
~ cC78(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
fof(f92,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f93,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f94,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ( cC116(X0)
& ~ cC134(X0) )
=> cC136(X0) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f96,plain,
! [X0] :
( ( cC114(X0)
& cC80(X0) )
=> cC116(X0) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f97,plain,
! [X0] :
( ( ~ cC96(X0)
& ~ cC112(X0) )
=> cC114(X0) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f98,plain,
! [X0] :
( ( ~ cC78(X0)
& ~ cC76(X0) )
=> cC80(X0) ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f100,plain,
! [X0] :
( ( cC34(X0)
& cC56(X0) )
=> cC58(X0) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f101,plain,
! [X0] :
( ( cC4(X0)
& ~ cC10(X0) )
=> cC56(X0) ),
inference(unused_predicate_definition_removal,[],[f44]) ).
fof(f102,plain,
! [X0] :
( cC114(X0)
| cC96(X0)
| cC112(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f103,plain,
! [X0] :
( cC114(X0)
| cC96(X0)
| cC112(X0) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( cC116(X0)
| ~ cC114(X0)
| ~ cC80(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f105,plain,
! [X0] :
( cC116(X0)
| ~ cC114(X0)
| ~ cC80(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( cC136(X0)
| ~ cC116(X0)
| cC134(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f107,plain,
! [X0] :
( cC136(X0)
| ~ cC116(X0)
| cC134(X0) ),
inference(flattening,[],[f106]) ).
fof(f110,plain,
! [X0] :
( cC56(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f111,plain,
! [X0] :
( cC56(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f113,plain,
! [X0] :
( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( cC80(X0)
| cC78(X0)
| cC76(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f115,plain,
! [X0] :
( cC80(X0)
| cC78(X0)
| cC76(X0) ),
inference(flattening,[],[f114]) ).
fof(f119,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ),
inference(ennf_transformation,[],[f94]) ).
fof(f120,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f122,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
! [X0] :
( cC108(X0)
| cC102(X0)
| cC110(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f145,plain,
! [X0] :
( cC114(X0)
| cC96(X0)
| cC112(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f146,plain,
! [X0] :
( ~ cC80(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f174,plain,
! [X0] :
( cC136(X0)
| ~ cC116(X0)
| cC134(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f176,plain,
! [X0] :
( cC56(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f177,plain,
! [X0] :
( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f184,plain,
! [X0] :
( cC78(X0)
| cC76(X0)
| cC80(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f205,plain,
! [X0] :
( cC92(X0)
| cC86(X0)
| cC94(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f214,plain,
~ cC102(iV822576),
inference(cnf_transformation,[],[f71]) ).
fof(f215,plain,
~ cC134(iV822576),
inference(cnf_transformation,[],[f72]) ).
fof(f218,plain,
cC34(iV822576),
inference(cnf_transformation,[],[f75]) ).
fof(f219,plain,
cC4(iV822576),
inference(cnf_transformation,[],[f76]) ).
fof(f220,plain,
~ cC96(iV822576),
inference(cnf_transformation,[],[f77]) ).
fof(f221,plain,
~ cC86(iV822576),
inference(cnf_transformation,[],[f78]) ).
fof(f222,plain,
~ cC92(iV822576),
inference(cnf_transformation,[],[f79]) ).
fof(f223,plain,
~ cC108(iV822576),
inference(cnf_transformation,[],[f80]) ).
fof(f224,plain,
cowlThing(iV822576),
inference(cnf_transformation,[],[f81]) ).
fof(f228,plain,
~ cC10(iV822576),
inference(cnf_transformation,[],[f85]) ).
fof(f230,plain,
~ cC76(iV822576),
inference(cnf_transformation,[],[f87]) ).
fof(f231,plain,
~ cC112(iV822576),
inference(cnf_transformation,[],[f88]) ).
fof(f232,plain,
~ cC78(iV822576),
inference(cnf_transformation,[],[f89]) ).
fof(f235,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| xsd_integer(sK6)
| ~ xsd_string(sK6)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f119]) ).
fof(f236,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ xsd_integer(sK6)
| xsd_string(sK6)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f119]) ).
fof(f238,definition,
( spl8_1
<=> cowlThing(sK7) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f240,plain,
( ~ cowlThing(sK7)
| spl8_1 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl8_2
<=> cowlNothing(sK7) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f244,plain,
( cowlNothing(sK7)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl8_3
<=> xsd_string(sK6) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f247,plain,
( xsd_string(sK6)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ xsd_string(sK6)
| spl8_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl8_4
<=> xsd_integer(sK6) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f251,plain,
( ~ xsd_integer(sK6)
| spl8_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f252,plain,
( xsd_integer(sK6)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl8_5
<=> cC94(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f256,plain,
( ~ cC94(iV822576)
| spl8_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl8_6
<=> cowlThing(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f262,definition,
( spl8_7
<=> cC58(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f264,plain,
( ~ cC58(iV822576)
| spl8_7 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,definition,
( spl8_8
<=> cC116(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f267,plain,
( cC116(iV822576)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( ~ cC116(iV822576)
| spl8_8 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl8_9
<=> cC56(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f272,plain,
( ~ cC56(iV822576)
| spl8_9 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl8_10
<=> cC110(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
fof(f278,definition,
( spl8_11
<=> cC114(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f280,plain,
( ~ cC114(iV822576)
| spl8_11 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f282,definition,
( spl8_12
<=> cC136(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
fof(f284,plain,
( ~ cC136(iV822576)
| spl8_12 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,definition,
( spl8_13
<=> cC80(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f287,plain,
( cC80(iV822576)
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_3
| spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13 ),
inference(avatar_split_clause,[],[f235,f286,f282,f278,f274,f270,f266,f262,f258,f254,f250,f246,f242,f238]) ).
fof(f290,plain,
( ~ spl8_1
| spl8_2
| spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13 ),
inference(avatar_split_clause,[],[f236,f286,f282,f278,f274,f270,f266,f262,f258,f254,f250,f246,f242,f238]) ).
fof(f291,plain,
spl8_6,
inference(avatar_split_clause,[],[f224,f258]) ).
fof(f292,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f240,f121]) ).
fof(f293,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f309,plain,
( cC102(iV822576)
| cC110(iV822576) ),
inference(resolution,[],[f141,f223]) ).
fof(f314,plain,
cC110(iV822576),
inference(forward_subsumption_resolution,[],[f309,f214]) ).
fof(f315,plain,
spl8_10,
inference(avatar_split_clause,[],[f314,f274]) ).
fof(f336,plain,
( ~ cC34(iV822576)
| ~ cC56(iV822576)
| spl8_7 ),
inference(resolution,[],[f177,f264]) ).
fof(f337,plain,
( ~ cC56(iV822576)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f336,f218]) ).
fof(f338,plain,
( ~ spl8_9
| spl8_7 ),
inference(avatar_split_clause,[],[f337,f262,f270]) ).
fof(f339,plain,
( ~ cC4(iV822576)
| cC10(iV822576)
| spl8_9 ),
inference(resolution,[],[f272,f176]) ).
fof(f340,plain,
( cC10(iV822576)
| spl8_9 ),
inference(forward_subsumption_resolution,[],[f339,f219]) ).
fof(f341,plain,
( $false
| spl8_9 ),
inference(forward_subsumption_resolution,[],[f340,f228]) ).
fof(f342,plain,
spl8_9,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f346,plain,
( cC76(iV822576)
| cC80(iV822576) ),
inference(resolution,[],[f184,f232]) ).
fof(f349,plain,
cC80(iV822576),
inference(forward_subsumption_resolution,[],[f346,f230]) ).
fof(f350,plain,
spl8_13,
inference(avatar_split_clause,[],[f349,f286]) ).
fof(f351,plain,
( ~ cC114(iV822576)
| cC116(iV822576)
| ~ spl8_13 ),
inference(resolution,[],[f287,f146]) ).
fof(f352,plain,
( ~ cC114(iV822576)
| spl8_8
| ~ spl8_13 ),
inference(forward_subsumption_resolution,[],[f351,f268]) ).
fof(f353,plain,
( ~ spl8_11
| spl8_8
| ~ spl8_13 ),
inference(avatar_split_clause,[],[f352,f286,f266,f278]) ).
fof(f354,plain,
( cC96(iV822576)
| cC112(iV822576)
| spl8_11 ),
inference(resolution,[],[f280,f145]) ).
fof(f355,plain,
( cC112(iV822576)
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f354,f220]) ).
fof(f356,plain,
( $false
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f355,f231]) ).
fof(f357,plain,
spl8_11,
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f358,plain,
( ~ cC116(iV822576)
| cC134(iV822576)
| spl8_12 ),
inference(resolution,[],[f284,f174]) ).
fof(f359,plain,
( cC134(iV822576)
| ~ spl8_8
| spl8_12 ),
inference(forward_subsumption_resolution,[],[f358,f267]) ).
fof(f360,plain,
( $false
| ~ spl8_8
| spl8_12 ),
inference(forward_subsumption_resolution,[],[f359,f215]) ).
fof(f361,plain,
( ~ spl8_8
| spl8_12 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f378,plain,
( cC86(iV822576)
| cC94(iV822576) ),
inference(resolution,[],[f205,f222]) ).
fof(f382,plain,
cC94(iV822576),
inference(forward_subsumption_resolution,[],[f378,f221]) ).
fof(f383,plain,
( $false
| spl8_5 ),
inference(forward_subsumption_resolution,[],[f382,f256]) ).
fof(f384,plain,
spl8_5,
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f385,plain,
( xsd_string(sK6)
| spl8_4 ),
inference(resolution,[],[f251,f122]) ).
fof(f386,plain,
( $false
| spl8_3
| spl8_4 ),
inference(forward_subsumption_resolution,[],[f385,f248]) ).
fof(f387,plain,
( spl8_3
| spl8_4 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f388,plain,
( ~ xsd_string(sK6)
| ~ spl8_4 ),
inference(resolution,[],[f252,f123]) ).
fof(f389,plain,
( $false
| ~ spl8_3
| ~ spl8_4 ),
inference(forward_subsumption_resolution,[],[f388,f247]) ).
fof(f390,plain,
( ~ spl8_3
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f391,plain,
( $false
| ~ spl8_2 ),
inference(forward_subsumption_resolution,[],[f244,f120]) ).
fof(f392,plain,
~ spl8_2,
inference(avatar_contradiction_clause,[],[f391]) ).
cnf(s1,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_3
| spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13 ),
inference(sat_conversion,[],[f289]) ).
cnf(s2,plain,
( ~ spl8_1
| spl8_2
| spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13 ),
inference(sat_conversion,[],[f290]) ).
cnf(s3,plain,
spl8_6,
inference(sat_conversion,[],[f291]) ).
cnf(s4,plain,
spl8_1,
inference(sat_conversion,[],[f293]) ).
cnf(s5,plain,
spl8_10,
inference(sat_conversion,[],[f315]) ).
cnf(s6,plain,
( spl8_7
| ~ spl8_9 ),
inference(sat_conversion,[],[f338]) ).
cnf(s7,plain,
spl8_9,
inference(sat_conversion,[],[f342]) ).
cnf(s8,plain,
spl8_13,
inference(sat_conversion,[],[f350]) ).
cnf(s9,plain,
( spl8_8
| ~ spl8_11
| ~ spl8_13 ),
inference(sat_conversion,[],[f353]) ).
cnf(s10,plain,
spl8_11,
inference(sat_conversion,[],[f357]) ).
cnf(s11,plain,
( ~ spl8_8
| spl8_12 ),
inference(sat_conversion,[],[f361]) ).
cnf(s12,plain,
spl8_5,
inference(sat_conversion,[],[f384]) ).
cnf(s13,plain,
( spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f387]) ).
cnf(s14,plain,
( ~ spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f390]) ).
cnf(s15,plain,
~ spl8_2,
inference(sat_conversion,[],[f392]) ).
cnf(s16,plain,
( spl8_8
| ~ spl8_13 ),
inference(rat,[],[s9,s10]) ).
cnf(s17,plain,
spl8_8,
inference(rat,[],[s16,s8]) ).
cnf(s18,plain,
spl8_12,
inference(rat,[],[s11,s17]) ).
cnf(s19,plain,
spl8_7,
inference(rat,[],[s6,s7]) ).
cnf(s20,plain,
( spl8_3
| ~ spl8_4 ),
inference(rat,[],[s2,s8,s18,s10,s5,s7,s17,s19,s3,s12,s15,s4]) ).
cnf(s21,plain,
( ~ spl8_3
| spl8_4 ),
inference(rat,[],[s1,s8,s18,s10,s5,s7,s17,s19,s3,s12,s15,s4]) ).
cnf(s22,plain,
spl8_3,
inference(rat,[],[s20,s13]) ).
cnf(s23,plain,
~ spl8_4,
inference(rat,[],[s14,s22]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s21,s23,s22]) ).
fof(f393,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 13:29:00 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.39 Running first-order model finding
% 0.15/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44 % (2411537)Will run a generic schedule for satisfiability detection.
% 0.15/0.44 % (2411546)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=372252737:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.44 % (2411546) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2411537-2411546"...
% 0.15/0.44 % (2411543)% WARNING: option uhcvi not known.
% 0.15/0.44 % (2411546)...printing done.
% 0.15/0.44 % (2411546)Refutation found. Thanks to Tanya!
% 0.15/0.44 % SZS status Theorem for theBenchmark
% 0.15/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.44 % (2411546)------------------------------
% 0.15/0.44 % (2411546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.44 % (2411546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.44 % (2411546)CaDiCaL version: 2.1.3
% 0.15/0.44 % (2411546)Termination reason: Refutation
% 0.15/0.44 % (2411546)Time elapsed: 0.004 s
% 0.15/0.44 % (2411546)Peak memory usage: 12 MB
% 0.15/0.44 % (2411546)Instructions burned: 10 (million)
% 0.15/0.44 % (2411537)Success in time 0.038 s
% 0.15/0.44 % Vampire exiting
%------------------------------------------------------------------------------