%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS112+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 11:42:18 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 116 ( 12 unt; 6 def)
% Number of atoms : 341 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 361 ( 136 ~; 153 |; 52 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 155 ( 0 sgn 133 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X1] :
( rf(X0,X1)
& cp(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f27,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f28,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f29,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( cpxcomp(X0)
& ! [X1] :
( rinvF1(X0,X1)
=> ca_Vx3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f30,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rs(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X1)
& rf1(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f34,axiom,
! [X0,X1] :
( rinvF1(X0,X1)
<=> rf1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f37,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f38,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f39,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f40,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X2] :
( rf(X0,X2)
& cp(X2) ) ) ),
inference(rectify,[],[f26]) ).
fof(f87,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f88,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cpxcomp(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f89,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f90,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f92,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f96,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f98,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X2] :
( rf(X0,X2)
& cp(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f99,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X2] :
( rf(X0,X2)
& cp(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( ? [X3] :
( rf1(X0,X3)
& ca_Ax2(X3) )
& ? [X4] :
( rf(X0,X4)
& cp(X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( rf1(X0,sK0(X0))
& ca_Ax2(sK0(X0))
& rf(X0,sK1(X0))
& cp(sK1(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0))],[f100]) ).
fof(f102,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f103,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f103]) ).
fof(f105,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f106,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) ) )
& ( ( cpxcomp(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f109,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) ) )
& ( ( cpxcomp(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) ) )
& ( ( cpxcomp(X0)
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ( ~ ca_Vx3(sK4(X0))
& rinvF1(X0,sK4(X0)) ) )
& ( ( cpxcomp(X0)
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f110]) ).
fof(f112,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X1] :
( rs(X0,X1)
& cowlThing(X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f113,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ( rs(X0,sK5(X0))
& cowlThing(sK5(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f113]) ).
fof(f116,plain,
! [X0,X1] :
( ( rinvF1(X0,X1)
| ~ rf1(X1,X0) )
& ( rf1(X1,X0)
| ~ rinvF1(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f145,plain,
! [X0] :
( cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
! [X0] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f147,plain,
! [X0] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f148,plain,
! [X0] :
( rf1(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f150,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f152,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f154,plain,
! [X2,X0] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f155,plain,
! [X0] :
( cpxcomp(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f159,plain,
! [X0] :
( rs(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f161,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f162,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f166,plain,
! [X0,X1] :
( rinvF1(X0,X1)
| ~ rf1(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f170,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[],[f37]) ).
fof(f171,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f172,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f212,plain,
! [X0] :
( ~ rf1(X0,sK0(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f213,plain,
! [X0] :
( ~ ca_Ax2(sK0(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f214,plain,
! [X0] :
( ~ rf(X0,sK1(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f215,plain,
! [X0] :
( cp(sK1(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f217,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| cpxcomp(X0) ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f220,plain,
! [X0] :
( ~ cpxcomp(X0)
| ca_Ax2(X0) ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f221,plain,
! [X2,X0] :
( ca_Vx3(X2)
| rinvF1(X0,X2)
| ca_Ax2(X0) ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f222,plain,
! [X2,X0,X1] :
( rf(X0,X2)
| rf(X0,X1)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f223,plain,
! [X2,X0,X1] :
( rf1(X0,X2)
| rf1(X0,X1)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f226,plain,
! [X0,X1] :
( ~ rinvF1(X0,X1)
| rf1(X1,X0) ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f230,plain,
~ cUnsatisfiable(i2003_11_14_17_21_19256),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f231,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| ~ rf(X0,X1) ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f232,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| ~ rf1(X0,X1) ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f237,plain,
! [X0] :
( cpxcomp(X0)
| ~ cp(X0) ),
inference(resolution,[],[f217,f150]) ).
fof(f239,plain,
! [X0] :
( ~ cp(X0)
| ca_Ax2(X0) ),
inference(resolution,[],[f237,f220]) ).
fof(f240,plain,
! [X0] :
( ca_Ax2(sK1(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f239,f215]) ).
fof(f245,plain,
! [X0] :
( ~ rf(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f231,f159]) ).
fof(f247,plain,
! [X0] :
( ~ rf1(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f232,f159]) ).
fof(f260,plain,
! [X0,X1] :
( cUnsatisfiable(X0)
| sK1(X0) = X1
| rf(X0,X1) ),
inference(resolution,[],[f222,f214]) ).
fof(f270,plain,
! [X0] :
( rf(i2003_11_14_17_21_19256,X0)
| sK1(i2003_11_14_17_21_19256) = X0 ),
inference(resolution,[],[f260,f230]) ).
fof(f272,plain,
( sK1(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256)
| ~ ca_Vx3(i2003_11_14_17_21_19256) ),
inference(resolution,[],[f270,f245]) ).
fof(f274,definition,
( spl6_1
<=> ca_Vx3(i2003_11_14_17_21_19256) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f276,plain,
( ~ ca_Vx3(i2003_11_14_17_21_19256)
| spl6_1 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,definition,
( spl6_2
<=> sK1(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f280,plain,
( sK1(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f281,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f272,f278,f274]) ).
fof(f282,plain,
( ! [X0] :
( rinvF1(X0,i2003_11_14_17_21_19256)
| ca_Ax2(X0) )
| spl6_1 ),
inference(resolution,[],[f276,f221]) ).
fof(f284,plain,
( ! [X0] :
( rf1(i2003_11_14_17_21_19256,X0)
| ca_Ax2(X0) )
| spl6_1 ),
inference(resolution,[],[f282,f226]) ).
fof(f287,plain,
( ca_Ax2(sK0(i2003_11_14_17_21_19256))
| cUnsatisfiable(i2003_11_14_17_21_19256)
| spl6_1 ),
inference(resolution,[],[f284,f212]) ).
fof(f290,definition,
( spl6_3
<=> cUnsatisfiable(i2003_11_14_17_21_19256) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f292,plain,
( cUnsatisfiable(i2003_11_14_17_21_19256)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f294,definition,
( spl6_4
<=> ca_Ax2(sK0(i2003_11_14_17_21_19256)) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f296,plain,
( ca_Ax2(sK0(i2003_11_14_17_21_19256))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( spl6_3
| spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f287,f274,f294,f290]) ).
fof(f298,plain,
( $false
| ~ spl6_3 ),
inference(resolution,[],[f292,f230]) ).
fof(f299,plain,
~ spl6_3,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f300,plain,
( cUnsatisfiable(i2003_11_14_17_21_19256)
| ~ spl6_4 ),
inference(resolution,[],[f296,f213]) ).
fof(f301,plain,
( spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f300,f294,f290]) ).
fof(f304,plain,
( ~ rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256))
| ~ ca_Vx3(i2003_11_14_17_21_19256)
| ~ spl6_2 ),
inference(superposition,[],[f247,f280]) ).
fof(f324,definition,
( spl6_8
<=> rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256)) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f326,plain,
( ~ rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256))
| spl6_8 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f327,plain,
( ~ spl6_1
| ~ spl6_8
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f304,f278,f324,f274]) ).
fof(f339,plain,
( ! [X0] :
( rf1(i2003_11_14_17_21_19256,X0)
| sK1(i2003_11_14_17_21_19256) = X0 )
| spl6_8 ),
inference(resolution,[],[f326,f223]) ).
fof(f346,plain,
( sK1(i2003_11_14_17_21_19256) = sK0(i2003_11_14_17_21_19256)
| cUnsatisfiable(i2003_11_14_17_21_19256)
| spl6_8 ),
inference(resolution,[],[f339,f212]) ).
fof(f349,definition,
( spl6_9
<=> sK1(i2003_11_14_17_21_19256) = sK0(i2003_11_14_17_21_19256) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f351,plain,
( sK1(i2003_11_14_17_21_19256) = sK0(i2003_11_14_17_21_19256)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f352,plain,
( spl6_3
| spl6_9
| spl6_8 ),
inference(avatar_split_clause,[],[f346,f324,f349,f290]) ).
fof(f357,plain,
( ca_Ax2(sK0(i2003_11_14_17_21_19256))
| cUnsatisfiable(i2003_11_14_17_21_19256)
| ~ spl6_9 ),
inference(superposition,[],[f240,f351]) ).
fof(f370,plain,
( spl6_3
| spl6_4
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f357,f349,f294,f290]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f281]) ).
cnf(s2,plain,
( spl6_1
| spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f297]) ).
cnf(s3,plain,
~ spl6_3,
inference(sat_conversion,[],[f299]) ).
cnf(s4,plain,
( spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f301]) ).
cnf(s8,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_8 ),
inference(sat_conversion,[],[f327]) ).
cnf(s9,plain,
( spl6_3
| spl6_8
| spl6_9 ),
inference(sat_conversion,[],[f352]) ).
cnf(s12,plain,
( spl6_3
| spl6_4
| ~ spl6_9 ),
inference(sat_conversion,[],[f370]) ).
cnf(s14,plain,
~ spl6_4,
inference(rat,[],[s4,s3]) ).
cnf(s15,plain,
~ spl6_9,
inference(rat,[],[s12,s3,s14]) ).
cnf(s16,plain,
spl6_8,
inference(rat,[],[s9,s3,s15]) ).
cnf(s17,plain,
spl6_1,
inference(rat,[],[s2,s14,s3]) ).
cnf(s18,plain,
~ spl6_2,
inference(rat,[],[s8,s16,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s18,s17]) ).
fof(f372,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS112+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:25:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % (3098616)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (3098627)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3073450537:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.44 % (3098627) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3098616-3098627"...
% 0.11/0.44 % (3098627)...printing done.
% 0.11/0.44 % (3098627)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3098627)------------------------------
% 0.11/0.45 % (3098627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3098627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3098627)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3098627)Termination reason: Refutation
% 0.11/0.45 % (3098627)Time elapsed: 0.003 s
% 0.11/0.45 % (3098627)Peak memory usage: 12 MB
% 0.11/0.45 % (3098627)Instructions burned: 7 (million)
% 0.11/0.45 % (3098616)Success in time 0.029 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------