%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS158+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 : n001.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 11:41:47 AM UTC 2026
% Result : Theorem 2.87s 1.26s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 126 ( 44 unt; 13 def)
% Number of atoms : 389 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 446 ( 183 ~; 179 |; 60 &)
% ( 22 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 14 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 34 !; 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(f6,axiom,
! [X0] :
( cC12(X0)
<=> ( cC10xcomp(X0)
& cC2xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f8,axiom,
! [X0] :
( cC16(X0)
<=> ( cC14(X0)
& cC8(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cC18(X0)
<=> ( cTOP(X0)
& cC16(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f15,axiom,
! [X0] :
( cC6(X0)
<=> ( cC4xcomp(X0)
& cC2xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] :
( cTEST(X0)
<=> ( cTOP(X0)
& cC18(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f18,axiom,
cowlThing(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f23,axiom,
cowlThing(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f25,axiom,
cC4xcomp(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
cC2xcomp(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f27,axiom,
cowlThing(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f29,axiom,
cC10xcomp(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f30,axiom,
cC2xcomp(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f31,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f32,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0] :
( cTEST(X0)
=> ( cTOP(X0)
& cC18(X0) ) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f39,plain,
! [X0] :
( ( cTOP(X0)
& cC18(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f42,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(ennf_transformation,[],[f33]) ).
fof(f43,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f53,plain,
! [X0] :
( ( cC12(X0)
| ~ cC10xcomp(X0)
| ~ cC2xcomp(X0) )
& ( ( cC10xcomp(X0)
& cC2xcomp(X0) )
| ~ cC12(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0] :
( ( cC12(X0)
| ~ cC10xcomp(X0)
| ~ cC2xcomp(X0) )
& ( ( cC10xcomp(X0)
& cC2xcomp(X0) )
| ~ cC12(X0) ) ),
inference(flattening,[],[f53]) ).
fof(f58,plain,
! [X0] :
( ( cC16(X0)
| ~ cC14(X0)
| ~ cC8(X0) )
& ( ( cC14(X0)
& cC8(X0) )
| ~ cC16(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f59,plain,
! [X0] :
( ( cC16(X0)
| ~ cC14(X0)
| ~ cC8(X0) )
& ( ( cC14(X0)
& cC8(X0) )
| ~ cC16(X0) ) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( cC18(X0)
| ~ cTOP(X0)
| ~ cC16(X0) )
& ( ( cTOP(X0)
& cC16(X0) )
| ~ cC18(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0] :
( ( cC18(X0)
| ~ cTOP(X0)
| ~ cC16(X0) )
& ( ( cTOP(X0)
& cC16(X0) )
| ~ cC18(X0) ) ),
inference(flattening,[],[f60]) ).
fof(f74,plain,
! [X0] :
( ( cC6(X0)
| ~ cC4xcomp(X0)
| ~ cC2xcomp(X0) )
& ( ( cC4xcomp(X0)
& cC2xcomp(X0) )
| ~ cC6(X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f75,plain,
! [X0] :
( ( cC6(X0)
| ~ cC4xcomp(X0)
| ~ cC2xcomp(X0) )
& ( ( cC4xcomp(X0)
& cC2xcomp(X0) )
| ~ cC6(X0) ) ),
inference(flattening,[],[f74]) ).
fof(f79,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(nnf_transformation,[],[f42]) ).
fof(f80,plain,
( ~ cowlThing(sK9)
| cowlNothing(sK9)
| ( ( xsd_integer(sK10)
| ~ xsd_string(sK10) )
& ( ~ xsd_integer(sK10)
| xsd_string(sK10) ) )
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f79]) ).
fof(f81,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f84,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f94,plain,
! [X0] :
( ~ cC10xcomp(X0)
| cC12(X0)
| ~ cC2xcomp(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f98,plain,
! [X0] :
( cC8(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f99,plain,
! [X0] :
( ~ cC16(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f101,plain,
! [X0] :
( ~ cC18(X0)
| cC16(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f116,plain,
! [X0] :
( ~ cC4xcomp(X0)
| cC6(X0)
| ~ cC2xcomp(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f120,plain,
! [X0] :
( ~ cTEST(X0)
| cC18(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f122,plain,
cowlThing(iV16560),
inference(cnf_transformation,[],[f18]) ).
fof(f123,plain,
cTEST(iV16560),
inference(cnf_transformation,[],[f19]) ).
fof(f127,plain,
cowlThing(iV16561),
inference(cnf_transformation,[],[f23]) ).
fof(f129,plain,
cC4xcomp(iV16561),
inference(cnf_transformation,[],[f25]) ).
fof(f130,plain,
cC2xcomp(iV16561),
inference(cnf_transformation,[],[f26]) ).
fof(f131,plain,
cowlThing(iV16562),
inference(cnf_transformation,[],[f27]) ).
fof(f133,plain,
cC10xcomp(iV16562),
inference(cnf_transformation,[],[f29]) ).
fof(f134,plain,
cC2xcomp(iV16562),
inference(cnf_transformation,[],[f30]) ).
fof(f135,plain,
( ~ cowlThing(sK9)
| cowlNothing(sK9)
| ~ xsd_integer(sK10)
| xsd_string(sK10)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(cnf_transformation,[],[f80]) ).
fof(f136,plain,
( ~ cowlThing(sK9)
| cowlNothing(sK9)
| xsd_integer(sK10)
| ~ xsd_string(sK10)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(cnf_transformation,[],[f80]) ).
fof(f138,definition,
( spl11_1
<=> cowlThing(iV16562) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f142,definition,
( spl11_2
<=> cC12(iV16562) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f146,definition,
( spl11_3
<=> cowlThing(iV16561) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f150,definition,
( spl11_4
<=> cC6(iV16561) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f154,definition,
( spl11_5
<=> cowlThing(iV16560) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f158,definition,
( spl11_6
<=> cC16(iV16560) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f159,plain,
( cC16(iV16560)
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl11_7
<=> cC8(iV16560) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f164,plain,
( ~ cC8(iV16560)
| spl11_7 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,definition,
( spl11_8
<=> cC14(iV16560) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f170,definition,
( spl11_9
<=> cC18(iV16560) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f171,plain,
( cC18(iV16560)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f174,definition,
( spl11_10
<=> xsd_string(sK10) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f175,plain,
( ~ xsd_string(sK10)
| spl11_10 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( xsd_string(sK10)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl11_11
<=> xsd_integer(sK10) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f179,plain,
( xsd_integer(sK10)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f182,definition,
( spl11_12
<=> cowlNothing(sK9) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f184,plain,
( cowlNothing(sK9)
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f186,definition,
( spl11_13
<=> cowlThing(sK9) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f188,plain,
( ~ cowlThing(sK9)
| spl11_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| spl11_10
| ~ spl11_11
| spl11_12
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f135,f186,f182,f178,f174,f170,f166,f162,f158,f154,f150,f146,f142,f138]) ).
fof(f190,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| spl11_11
| spl11_12
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f136,f186,f182,f178,f174,f170,f166,f162,f158,f154,f150,f146,f142,f138]) ).
fof(f191,plain,
spl11_1,
inference(avatar_split_clause,[],[f131,f138]) ).
fof(f192,plain,
spl11_3,
inference(avatar_split_clause,[],[f127,f146]) ).
fof(f193,plain,
spl11_5,
inference(avatar_split_clause,[],[f122,f154]) ).
fof(f194,plain,
cC18(iV16560),
inference(resolution,[],[f120,f123]) ).
fof(f195,plain,
spl11_9,
inference(avatar_split_clause,[],[f194,f170]) ).
fof(f196,plain,
( cC16(iV16560)
| ~ spl11_9 ),
inference(resolution,[],[f171,f101]) ).
fof(f197,plain,
( spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f196,f170,f158]) ).
fof(f198,plain,
( cC14(iV16560)
| ~ spl11_6 ),
inference(resolution,[],[f159,f99]) ).
fof(f199,plain,
( spl11_8
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f198,f158,f166]) ).
fof(f204,plain,
( cC12(iV16562)
| ~ cC2xcomp(iV16562) ),
inference(resolution,[],[f94,f133]) ).
fof(f209,plain,
cC12(iV16562),
inference(forward_subsumption_resolution,[],[f204,f134]) ).
fof(f210,plain,
spl11_2,
inference(avatar_split_clause,[],[f209,f142]) ).
fof(f215,plain,
( cC6(iV16561)
| ~ cC2xcomp(iV16561) ),
inference(resolution,[],[f116,f129]) ).
fof(f219,plain,
cC6(iV16561),
inference(forward_subsumption_resolution,[],[f215,f130]) ).
fof(f220,plain,
spl11_4,
inference(avatar_split_clause,[],[f219,f150]) ).
fof(f223,plain,
( ~ cC16(iV16560)
| spl11_7 ),
inference(resolution,[],[f164,f98]) ).
fof(f224,plain,
( $false
| ~ spl11_6
| spl11_7 ),
inference(forward_subsumption_resolution,[],[f223,f159]) ).
fof(f225,plain,
( ~ spl11_6
| spl11_7 ),
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f226,plain,
( $false
| spl11_13 ),
inference(forward_subsumption_resolution,[],[f188,f82]) ).
fof(f227,plain,
spl11_13,
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f230,plain,
( xsd_integer(sK10)
| spl11_10 ),
inference(resolution,[],[f175,f84]) ).
fof(f231,plain,
( spl11_11
| spl11_10 ),
inference(avatar_split_clause,[],[f230,f174,f178]) ).
fof(f232,plain,
( ~ xsd_string(sK10)
| ~ spl11_11 ),
inference(resolution,[],[f179,f83]) ).
fof(f233,plain,
( $false
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f232,f176]) ).
fof(f234,plain,
( ~ spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f235,plain,
( $false
| ~ spl11_12 ),
inference(forward_subsumption_resolution,[],[f184,f81]) ).
fof(f236,plain,
~ spl11_12,
inference(avatar_contradiction_clause,[],[f235]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| spl11_10
| ~ spl11_11
| spl11_12
| ~ spl11_13 ),
inference(sat_conversion,[],[f189]) ).
cnf(s2,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| spl11_11
| spl11_12
| ~ spl11_13 ),
inference(sat_conversion,[],[f190]) ).
cnf(s3,plain,
spl11_1,
inference(sat_conversion,[],[f191]) ).
cnf(s4,plain,
spl11_3,
inference(sat_conversion,[],[f192]) ).
cnf(s5,plain,
spl11_5,
inference(sat_conversion,[],[f193]) ).
cnf(s6,plain,
spl11_9,
inference(sat_conversion,[],[f195]) ).
cnf(s7,plain,
( spl11_6
| ~ spl11_9 ),
inference(sat_conversion,[],[f197]) ).
cnf(s8,plain,
( ~ spl11_6
| spl11_8 ),
inference(sat_conversion,[],[f199]) ).
cnf(s10,plain,
spl11_2,
inference(sat_conversion,[],[f210]) ).
cnf(s12,plain,
spl11_4,
inference(sat_conversion,[],[f220]) ).
cnf(s13,plain,
( ~ spl11_6
| spl11_7 ),
inference(sat_conversion,[],[f225]) ).
cnf(s14,plain,
spl11_13,
inference(sat_conversion,[],[f227]) ).
cnf(s15,plain,
( spl11_10
| spl11_11 ),
inference(sat_conversion,[],[f231]) ).
cnf(s16,plain,
( ~ spl11_10
| ~ spl11_11 ),
inference(sat_conversion,[],[f234]) ).
cnf(s17,plain,
~ spl11_12,
inference(sat_conversion,[],[f236]) ).
cnf(s18,plain,
spl11_6,
inference(rat,[],[s7,s6]) ).
cnf(s19,plain,
spl11_7,
inference(rat,[],[s13,s18]) ).
cnf(s20,plain,
spl11_8,
inference(rat,[],[s8,s18]) ).
cnf(s21,plain,
( ~ spl11_10
| spl11_11 ),
inference(rat,[],[s2,s14,s17,s6,s20,s19,s18,s5,s12,s4,s10,s3]) ).
cnf(s22,plain,
( spl11_10
| ~ spl11_11 ),
inference(rat,[],[s1,s14,s17,s6,s20,s19,s18,s5,s12,s4,s10,s3]) ).
cnf(s23,plain,
spl11_10,
inference(rat,[],[s22,s15]) ).
cnf(s24,plain,
~ spl11_11,
inference(rat,[],[s16,s23]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s21,s24,s23]) ).
fof(f237,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 13:38:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.87/1.26 % (3574972)Detected formulas, will run a generic FOF schedule.
% 2.87/1.26 % (3574979)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=2349637604:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.87/1.26 % (3574978)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=3210391191:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.87/1.26 % (3574983)dis-21_1_sil=8000:lcm=predicate:random_seed=3301583895: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)
% 2.87/1.26 % (3574982)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3955727060:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.87/1.26 % (3574977)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=843611250:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.87/1.26 % (3574981)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=412150889:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.87/1.26 % (3574980)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2765895038:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.87/1.26 % (3574980)Refutation not found, incomplete strategy
% 2.87/1.26 % (3574980)------------------------------
% 2.87/1.26 % (3574980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.26 % (3574980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.26 % (3574980)CaDiCaL version: 2.1.3
% 2.87/1.26 % (3574980)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.26 % (3574980)Time elapsed: 0.001 s
% 2.87/1.26 % (3574980)Peak memory usage: 86 MB
% 2.87/1.26 % (3574981)Also succeeded, but the first one will report.
% 2.87/1.26 % (3574982)First to succeed.
% 2.87/1.26 % (3574983)Also succeeded, but the first one will report.
% 2.87/1.26 % (3574982)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3574972"
% 2.87/1.26 % (3574980)------------------------------
% 2.87/1.26 % (3574980)------------------------------
% 2.87/1.26 % (3574982)Refutation found. Thanks to Tanya!
% 2.87/1.26 % SZS status Theorem for theBenchmark
% 2.87/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.46 % (3574982)------------------------------
% 3.47/1.46 % (3574982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.46 % (3574982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.46 % (3574982)CaDiCaL version: 2.1.3
% 3.47/1.46 % (3574982)Termination reason: Refutation
% 3.47/1.46 % (3574982)Time elapsed: 0.005 s
% 3.47/1.46 % (3574982)Peak memory usage: 89 MB
% 3.47/1.46 % (3574982)Instructions burned: 5 (million)
% 3.47/1.46 % (3574982)------------------------------
% 3.47/1.46 % (3574982)------------------------------
% 3.47/1.46 % (3574972)Success in time 0.408 s
% 3.47/1.46 % Vampire exiting
%------------------------------------------------------------------------------