%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 11:41:45 AM UTC 2026
% Result : Theorem 0.88s 1.14s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 47
% Syntax : Number of formulae : 223 ( 57 unt; 22 def)
% Number of atoms : 639 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 708 ( 292 ~; 292 |; 79 &)
% ( 38 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 52 ( 51 usr; 23 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 75 ( 0 sgn 71 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f4,axiom,
! [X0] :
( cC102(X0)
<=> ( cC34(X0)
& cC100(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0] :
( cC108(X0)
<=> ( ~ cC34(X0)
& cC106(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cC110(X0)
<=> ( ~ cC102(X0)
& ~ cC108(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f10,axiom,
! [X0] :
( cC114(X0)
<=> ( ~ cC96(X0)
& ~ cC112(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( cC116(X0)
<=> ( cC114(X0)
& cC80(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f22,axiom,
! [X0] :
( cC136(X0)
<=> ( cC116(X0)
& ~ cC134(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f44,axiom,
! [X0] :
( cC56(X0)
<=> ( cC4(X0)
& ~ cC10(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f45,axiom,
! [X0] :
( cC58(X0)
<=> ( cC34(X0)
& cC56(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f58,axiom,
! [X0] :
( cC80(X0)
<=> ( ~ cC78(X0)
& ~ cC76(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f64,axiom,
! [X0] :
( cC92(X0)
<=> ( cC90(X0)
& ~ cC16(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f65,axiom,
! [X0] :
( cC94(X0)
<=> ( ~ cC86(X0)
& ~ cC92(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f66,axiom,
! [X0] :
( cC96(X0)
<=> ( ~ cC94(X0)
& cC2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f72,axiom,
~ cC134(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(f75,axiom,
cC34(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
fof(f76,axiom,
cC4(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
fof(f78,axiom,
~ cC86(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
fof(f83,axiom,
~ cC90(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
fof(f84,axiom,
~ cC100(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
fof(f85,axiom,
~ cC10(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
fof(f87,axiom,
~ cC76(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
fof(f88,axiom,
~ cC112(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
fof(f89,axiom,
~ cC78(iV822576),
file('/export/starexec/sandbox/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/sandbox/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] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f124,plain,
! [X0] :
( ( cC102(X0)
| ~ cC34(X0)
| ~ cC100(X0) )
& ( ( cC34(X0)
& cC100(X0) )
| ~ cC102(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f125,plain,
! [X0] :
( ( cC102(X0)
| ~ cC34(X0)
| ~ cC100(X0) )
& ( ( cC34(X0)
& cC100(X0) )
| ~ cC102(X0) ) ),
inference(flattening,[],[f124]) ).
fof(f131,plain,
! [X0] :
( ( cC108(X0)
| cC34(X0)
| ~ cC106(X0) )
& ( ( ~ cC34(X0)
& cC106(X0) )
| ~ cC108(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f132,plain,
! [X0] :
( ( cC108(X0)
| cC34(X0)
| ~ cC106(X0) )
& ( ( ~ cC34(X0)
& cC106(X0) )
| ~ cC108(X0) ) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ( cC110(X0)
| cC102(X0)
| cC108(X0) )
& ( ( ~ cC102(X0)
& ~ cC108(X0) )
| ~ cC110(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f134,plain,
! [X0] :
( ( cC110(X0)
| cC102(X0)
| cC108(X0) )
& ( ( ~ cC102(X0)
& ~ cC108(X0) )
| ~ cC110(X0) ) ),
inference(flattening,[],[f133]) ).
fof(f173,plain,
! [X0] :
( ( cC92(X0)
| ~ cC90(X0)
| cC16(X0) )
& ( ( cC90(X0)
& ~ cC16(X0) )
| ~ cC92(X0) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f174,plain,
! [X0] :
( ( cC92(X0)
| ~ cC90(X0)
| cC16(X0) )
& ( ( cC90(X0)
& ~ cC16(X0) )
| ~ cC92(X0) ) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ( cC94(X0)
| cC86(X0)
| cC92(X0) )
& ( ( ~ cC86(X0)
& ~ cC92(X0) )
| ~ cC94(X0) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f176,plain,
! [X0] :
( ( cC94(X0)
| cC86(X0)
| cC92(X0) )
& ( ( ~ cC86(X0)
& ~ cC92(X0) )
| ~ cC94(X0) ) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0] :
( ( cC96(X0)
| cC94(X0)
| ~ cC2(X0) )
& ( ( ~ cC94(X0)
& cC2(X0) )
| ~ cC96(X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f178,plain,
! [X0] :
( ( cC96(X0)
| cC94(X0)
| ~ cC2(X0) )
& ( ( ~ cC94(X0)
& cC2(X0) )
| ~ cC96(X0) ) ),
inference(flattening,[],[f177]) ).
fof(f181,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ),
inference(nnf_transformation,[],[f119]) ).
fof(f182,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| ( ( xsd_integer(sK7)
| ~ xsd_string(sK7) )
& ( ~ xsd_integer(sK7)
| xsd_string(sK7) ) )
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f181]) ).
fof(f183,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f184,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f185,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f190,plain,
! [X0] :
( ~ cC102(X0)
| cC100(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f200,plain,
! [X0] :
( ~ cC108(X0)
| ~ cC34(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f204,plain,
! [X0] :
( cC108(X0)
| cC102(X0)
| cC110(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f208,plain,
! [X0] :
( cC114(X0)
| cC96(X0)
| cC112(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f209,plain,
! [X0] :
( ~ cC80(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f237,plain,
! [X0] :
( cC136(X0)
| ~ cC116(X0)
| cC134(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f239,plain,
! [X0] :
( cC56(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f240,plain,
! [X0] :
( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
! [X0] :
( cC80(X0)
| cC78(X0)
| cC76(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f264,plain,
! [X0] :
( ~ cC92(X0)
| cC90(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f268,plain,
! [X0] :
( cC92(X0)
| cC86(X0)
| cC94(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f270,plain,
! [X0] :
( ~ cC96(X0)
| ~ cC94(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f278,plain,
~ cC134(iV822576),
inference(cnf_transformation,[],[f72]) ).
fof(f281,plain,
cC34(iV822576),
inference(cnf_transformation,[],[f75]) ).
fof(f282,plain,
cC4(iV822576),
inference(cnf_transformation,[],[f76]) ).
fof(f284,plain,
~ cC86(iV822576),
inference(cnf_transformation,[],[f78]) ).
fof(f289,plain,
~ cC90(iV822576),
inference(cnf_transformation,[],[f83]) ).
fof(f290,plain,
~ cC100(iV822576),
inference(cnf_transformation,[],[f84]) ).
fof(f291,plain,
~ cC10(iV822576),
inference(cnf_transformation,[],[f85]) ).
fof(f293,plain,
~ cC76(iV822576),
inference(cnf_transformation,[],[f87]) ).
fof(f294,plain,
~ cC112(iV822576),
inference(cnf_transformation,[],[f88]) ).
fof(f295,plain,
~ cC78(iV822576),
inference(cnf_transformation,[],[f89]) ).
fof(f298,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| ~ xsd_integer(sK7)
| xsd_string(sK7)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ),
inference(cnf_transformation,[],[f182]) ).
fof(f299,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| xsd_integer(sK7)
| ~ xsd_string(sK7)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ),
inference(cnf_transformation,[],[f182]) ).
fof(f301,definition,
( spl8_1
<=> cC80(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f302,plain,
( ~ cC80(iV822576)
| spl8_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,definition,
( spl8_2
<=> cC136(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f305,plain,
( ~ cC136(iV822576)
| spl8_2 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,definition,
( spl8_3
<=> cC114(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f308,plain,
( ~ cC114(iV822576)
| spl8_3 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,definition,
( spl8_4
<=> cC110(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f313,definition,
( spl8_5
<=> cC56(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f314,plain,
( ~ cC56(iV822576)
| spl8_5 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f316,definition,
( spl8_6
<=> cC116(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f317,plain,
( ~ cC116(iV822576)
| spl8_6 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,definition,
( spl8_7
<=> cC58(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f320,plain,
( ~ cC58(iV822576)
| spl8_7 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f322,definition,
( spl8_8
<=> cowlThing(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f323,plain,
( ~ cowlThing(iV822576)
| spl8_8 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,definition,
( spl8_9
<=> cC94(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f328,definition,
( spl8_10
<=> xsd_string(sK7) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
fof(f331,definition,
( spl8_11
<=> xsd_integer(sK7) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f332,plain,
( ~ xsd_integer(sK7)
| spl8_11 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,definition,
( spl8_12
<=> cowlNothing(sK6) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
fof(f335,plain,
( cowlNothing(sK6)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f337,definition,
( spl8_13
<=> cowlThing(sK6) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f338,plain,
( ~ cowlThing(sK6)
| spl8_13 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,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,[],[f298,f337,f334,f331,f328,f325,f322,f319,f316,f313,f310,f307,f304,f301]) ).
fof(f341,plain,
( xsd_integer(sK7)
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f342,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,[],[f299,f337,f334,f331,f328,f325,f322,f319,f316,f313,f310,f307,f304,f301]) ).
fof(f362,plain,
! [X0] :
( cC102(X0)
| cC110(X0)
| ~ cC34(X0) ),
inference(resolution,[],[f204,f200]) ).
fof(f394,plain,
( cC78(iV822576)
| cC76(iV822576)
| spl8_1 ),
inference(resolution,[],[f247,f302]) ).
fof(f395,plain,
! [X0] :
( cC116(X0)
| cC76(X0)
| ~ cC114(X0)
| cC78(X0) ),
inference(resolution,[],[f247,f209]) ).
fof(f397,definition,
( spl8_15
<=> cC76(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
fof(f398,plain,
( cC76(iV822576)
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,definition,
( spl8_16
<=> cC78(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
fof(f401,plain,
( cC78(iV822576)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( spl8_15
| spl8_16
| spl8_1 ),
inference(avatar_split_clause,[],[f394,f301,f400,f397]) ).
fof(f405,definition,
( spl8_17
<=> cC134(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f406,plain,
( cC134(iV822576)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f424,plain,
! [X0] :
( cC90(X0)
| cC94(X0)
| cC86(X0) ),
inference(resolution,[],[f268,f264]) ).
fof(f428,definition,
( spl8_18
<=> cC86(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
fof(f429,plain,
( cC86(iV822576)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f448,plain,
! [X0] :
( cC100(X0)
| ~ cC34(X0)
| cC110(X0) ),
inference(resolution,[],[f362,f190]) ).
fof(f459,plain,
( cC94(iV822576)
| cC86(iV822576) ),
inference(resolution,[],[f424,f289]) ).
fof(f467,plain,
( ~ cC34(iV822576)
| cC110(iV822576) ),
inference(resolution,[],[f448,f290]) ).
fof(f497,definition,
( spl8_21
<=> cC112(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f498,plain,
( cC112(iV822576)
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,definition,
( spl8_22
<=> cC96(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f501,plain,
( cC96(iV822576)
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f503,plain,
( $false
| spl8_13 ),
inference(resolution,[],[f338,f184]) ).
fof(f504,plain,
spl8_13,
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f507,definition,
( spl8_23
<=> cC10(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_23])],[avatar_definition]) ).
fof(f508,plain,
( cC10(iV822576)
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,definition,
( spl8_24
<=> cC4(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
fof(f511,plain,
( ~ cC4(iV822576)
| spl8_24 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f513,plain,
( $false
| spl8_24 ),
inference(resolution,[],[f511,f282]) ).
fof(f514,plain,
spl8_24,
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f515,plain,
( ~ cC34(iV822576)
| ~ cC56(iV822576)
| spl8_7 ),
inference(resolution,[],[f320,f240]) ).
fof(f517,definition,
( spl8_25
<=> cC34(iV822576) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f518,plain,
( ~ cC34(iV822576)
| spl8_25 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( ~ spl8_5
| ~ spl8_25
| spl8_7 ),
inference(avatar_split_clause,[],[f515,f319,f517,f313]) ).
fof(f520,plain,
( $false
| spl8_25 ),
inference(resolution,[],[f518,f281]) ).
fof(f522,plain,
spl8_25,
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f523,plain,
( ~ cC4(iV822576)
| cC10(iV822576)
| spl8_5 ),
inference(resolution,[],[f314,f239]) ).
fof(f524,plain,
( spl8_23
| ~ spl8_24
| spl8_5 ),
inference(avatar_split_clause,[],[f523,f313,f510,f507]) ).
fof(f525,plain,
( $false
| ~ spl8_23 ),
inference(resolution,[],[f508,f291]) ).
fof(f526,plain,
~ spl8_23,
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f527,plain,
( $false
| spl8_8 ),
inference(resolution,[],[f323,f184]) ).
fof(f528,plain,
spl8_8,
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f529,plain,
( xsd_string(sK7)
| spl8_11 ),
inference(resolution,[],[f332,f186]) ).
fof(f530,plain,
( spl8_10
| spl8_11 ),
inference(avatar_split_clause,[],[f529,f331,f328]) ).
fof(f535,plain,
( ~ xsd_string(sK7)
| ~ spl8_11 ),
inference(resolution,[],[f341,f185]) ).
fof(f536,plain,
( ~ spl8_10
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f535,f331,f328]) ).
fof(f537,plain,
( cC76(iV822576)
| ~ cC114(iV822576)
| cC78(iV822576)
| spl8_6 ),
inference(resolution,[],[f317,f395]) ).
fof(f538,plain,
( spl8_16
| ~ spl8_3
| spl8_15
| spl8_6 ),
inference(avatar_split_clause,[],[f537,f316,f397,f307,f400]) ).
fof(f540,plain,
( $false
| ~ spl8_15 ),
inference(resolution,[],[f398,f293]) ).
fof(f543,plain,
~ spl8_15,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f545,plain,
( $false
| ~ spl8_16 ),
inference(resolution,[],[f401,f295]) ).
fof(f548,plain,
~ spl8_16,
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f551,plain,
( $false
| ~ spl8_12 ),
inference(resolution,[],[f335,f183]) ).
fof(f552,plain,
~ spl8_12,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f553,plain,
( cC96(iV822576)
| cC112(iV822576)
| spl8_3 ),
inference(resolution,[],[f308,f208]) ).
fof(f554,plain,
( spl8_21
| spl8_22
| spl8_3 ),
inference(avatar_split_clause,[],[f553,f307,f500,f497]) ).
fof(f555,plain,
( $false
| ~ spl8_21 ),
inference(resolution,[],[f498,f294]) ).
fof(f558,plain,
~ spl8_21,
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f561,plain,
( ~ cC94(iV822576)
| ~ spl8_22 ),
inference(resolution,[],[f501,f270]) ).
fof(f564,plain,
( ~ spl8_9
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f561,f500,f325]) ).
fof(f566,plain,
( spl8_18
| spl8_9 ),
inference(avatar_split_clause,[],[f459,f325,f428]) ).
fof(f572,plain,
( $false
| ~ spl8_18 ),
inference(resolution,[],[f429,f284]) ).
fof(f576,plain,
~ spl8_18,
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f577,plain,
( ~ cC116(iV822576)
| cC134(iV822576)
| spl8_2 ),
inference(resolution,[],[f305,f237]) ).
fof(f578,plain,
( spl8_17
| ~ spl8_6
| spl8_2 ),
inference(avatar_split_clause,[],[f577,f304,f316,f405]) ).
fof(f579,plain,
( $false
| ~ spl8_17 ),
inference(resolution,[],[f406,f278]) ).
fof(f582,plain,
~ spl8_17,
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f585,plain,
( spl8_4
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f467,f517,f310]) ).
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,[],[f339]) ).
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,[],[f342]) ).
cnf(s4,plain,
( spl8_1
| spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f402]) ).
cnf(s10,plain,
spl8_13,
inference(sat_conversion,[],[f504]) ).
cnf(s12,plain,
spl8_24,
inference(sat_conversion,[],[f514]) ).
cnf(s13,plain,
( ~ spl8_5
| spl8_7
| ~ spl8_25 ),
inference(sat_conversion,[],[f519]) ).
cnf(s14,plain,
spl8_25,
inference(sat_conversion,[],[f522]) ).
cnf(s15,plain,
( spl8_5
| spl8_23
| ~ spl8_24 ),
inference(sat_conversion,[],[f524]) ).
cnf(s16,plain,
~ spl8_23,
inference(sat_conversion,[],[f526]) ).
cnf(s17,plain,
spl8_8,
inference(sat_conversion,[],[f528]) ).
cnf(s18,plain,
( spl8_10
| spl8_11 ),
inference(sat_conversion,[],[f530]) ).
cnf(s19,plain,
( ~ spl8_10
| ~ spl8_11 ),
inference(sat_conversion,[],[f536]) ).
cnf(s20,plain,
( ~ spl8_3
| spl8_6
| spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f538]) ).
cnf(s21,plain,
~ spl8_15,
inference(sat_conversion,[],[f543]) ).
cnf(s23,plain,
~ spl8_16,
inference(sat_conversion,[],[f548]) ).
cnf(s26,plain,
~ spl8_12,
inference(sat_conversion,[],[f552]) ).
cnf(s27,plain,
( spl8_3
| spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f554]) ).
cnf(s28,plain,
~ spl8_21,
inference(sat_conversion,[],[f558]) ).
cnf(s31,plain,
( ~ spl8_9
| ~ spl8_22 ),
inference(sat_conversion,[],[f564]) ).
cnf(s33,plain,
( spl8_9
| spl8_18 ),
inference(sat_conversion,[],[f566]) ).
cnf(s36,plain,
~ spl8_18,
inference(sat_conversion,[],[f576]) ).
cnf(s37,plain,
( spl8_2
| ~ spl8_6
| spl8_17 ),
inference(sat_conversion,[],[f578]) ).
cnf(s38,plain,
~ spl8_17,
inference(sat_conversion,[],[f582]) ).
cnf(s41,plain,
( spl8_4
| ~ spl8_25 ),
inference(sat_conversion,[],[f585]) ).
cnf(s43,plain,
( spl8_2
| ~ spl8_6 ),
inference(rat,[],[s37,s38]) ).
cnf(s44,plain,
spl8_9,
inference(rat,[],[s33,s36]) ).
cnf(s45,plain,
~ spl8_22,
inference(rat,[],[s31,s44]) ).
cnf(s46,plain,
spl8_3,
inference(rat,[],[s27,s45,s28]) ).
cnf(s47,plain,
spl8_6,
inference(rat,[],[s20,s23,s21,s46]) ).
cnf(s48,plain,
spl8_2,
inference(rat,[],[s43,s47]) ).
cnf(s49,plain,
( spl8_5
| ~ spl8_24 ),
inference(rat,[],[s15,s16]) ).
cnf(s50,plain,
spl8_4,
inference(rat,[],[s41,s14]) ).
cnf(s51,plain,
( ~ spl8_5
| spl8_7 ),
inference(rat,[],[s13,s14]) ).
cnf(s52,plain,
spl8_5,
inference(rat,[],[s49,s12]) ).
cnf(s53,plain,
spl8_7,
inference(rat,[],[s51,s52]) ).
cnf(s54,plain,
spl8_1,
inference(rat,[],[s4,s23,s21]) ).
cnf(s55,plain,
( ~ spl8_10
| spl8_11 ),
inference(rat,[],[s2,s10,s26,s44,s17,s53,s47,s52,s50,s46,s48,s54]) ).
cnf(s56,plain,
( spl8_10
| ~ spl8_11 ),
inference(rat,[],[s1,s10,s26,s44,s17,s53,s47,s52,s50,s46,s48,s54]) ).
cnf(s57,plain,
spl8_10,
inference(rat,[],[s56,s18]) ).
cnf(s58,plain,
~ spl8_11,
inference(rat,[],[s19,s57]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s55,s58,s57]) ).
fof(f590,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.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 13:27:09 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.88/1.14 % (1419739)Detected formulas, will run a generic FOF schedule.
% 0.88/1.14 % (1419750)dis-21_1_sil=8000:lcm=predicate:random_seed=1653174728:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.88/1.14 % (1419750)First to succeed.
% 0.88/1.14 % (1419750)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1419739"
% 0.88/1.14 % (1419746)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1035330950:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.88/1.14 % (1419747)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=397754936:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.88/1.14 % (1419744)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=1624207275:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.88/1.14 % (1419745)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4256879785:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.88/1.14 % (1419748)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2548253982:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.88/1.14 % (1419749)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=741515085:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.88/1.14 % (1419747)Refutation not found, incomplete strategy
% 0.88/1.14 % (1419747)------------------------------
% 0.88/1.14 % (1419747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.88/1.14 % (1419747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/1.14 % (1419747)CaDiCaL version: 2.1.3
% 0.88/1.14 % (1419747)Termination reason: Refutation not found, incomplete strategy
% 0.88/1.14 % (1419747)Time elapsed: 0.001 s
% 0.88/1.14 % (1419747)Peak memory usage: 86 MB
% 0.88/1.14 % (1419748)Also succeeded, but the first one will report.
% 0.88/1.14 % (1419749)Also succeeded, but the first one will report.
% 0.88/1.14 % (1419750)Refutation found. Thanks to Tanya!
% 0.88/1.14 % SZS status Theorem for theBenchmark
% 0.88/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.28 % (1419750)------------------------------
% 2.64/1.28 % (1419750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.28 % (1419750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.28 % (1419750)CaDiCaL version: 2.1.3
% 2.64/1.28 % (1419750)Termination reason: Refutation
% 2.64/1.28 % (1419750)Time elapsed: 0.005 s
% 2.64/1.28 % (1419750)Peak memory usage: 89 MB
% 2.64/1.28 % (1419750)Instructions burned: 10 (million)
% 2.64/1.28 % (1419750)------------------------------
% 2.64/1.28 % (1419750)------------------------------
% 2.64/1.28 % (1419739)Success in time 0.304 s
% 2.64/1.28 % Vampire exiting
%------------------------------------------------------------------------------