%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS132+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 : n002.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 11:42:21 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 183 ( 16 unt; 9 def)
% Number of atoms : 609 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 696 ( 270 ~; 329 |; 64 &)
% ( 26 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 154 ( 0 sgn 127 !; 27 ?)
% 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(f3,axiom,
! [X0] :
( cA(X0)
<=> ? [X1] :
( rq(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cAorB(X0)
<=> ? [X1] :
( rs(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cB(X0)
<=> ? [X1] :
( rr(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( rq(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cnotAorB(X0)
<=> ! [X1] :
( rs(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( cnotAorB(X0)
<=> ( cnotB(X0)
& cnotA(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( cnotB(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cAorB(X0)
<=> ( cB(X0)
| cA(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f13,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cAorB(X0)
<=> ( cB(X0)
| cA(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cAorB(X2)
<=> ( cB(X2)
| cA(X2) ) ) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f16,plain,
! [X0] :
( ! [X1] : ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rq(X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0] :
( cnotAorB(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rs(X0,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0] :
( cnotB(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rr(X0,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f20,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cAorB(X2)
<~> ( cB(X2)
| cA(X2) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f21,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f22,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ rq(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X1] :
( rq(X0,X1)
& cowlThing(X1) )
| ~ cA(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ rq(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X2] :
( rq(X0,X2)
& cowlThing(X2) )
| ~ cA(X0) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ rq(X0,X1)
| ~ cowlThing(X1) ) )
& ( ( rq(X0,sK0(X0))
& cowlThing(sK0(X0)) )
| ~ cA(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f23]) ).
fof(f25,plain,
! [X0] :
( ( cAorB(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X1] :
( rs(X0,X1)
& cowlThing(X1) )
| ~ cAorB(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] :
( ( cAorB(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
| ~ cAorB(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ( cAorB(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ( rs(X0,sK1(X0))
& cowlThing(sK1(X0)) )
| ~ cAorB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f26]) ).
fof(f28,plain,
! [X0] :
( ( cB(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X1] :
( rr(X0,X1)
& cowlThing(X1) )
| ~ cB(X0) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X0] :
( ( cB(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X2] :
( rr(X0,X2)
& cowlThing(X2) )
| ~ cB(X0) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ( cB(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cowlThing(X1) ) )
& ( ( rr(X0,sK2(X0))
& cowlThing(sK2(X0)) )
| ~ cB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f29]) ).
fof(f31,plain,
! [X0] :
( rp(X0,sK3(X0))
| ~ cNothing(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f15]) ).
fof(f32,plain,
! [X0] :
( ( cnotA(X0)
| ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) ) )
& ( ! [X1] :
( cNothing(X1)
| ~ rq(X0,X1) )
| ~ cnotA(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] :
( ( cnotA(X0)
| ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rq(X0,X2) )
| ~ cnotA(X0) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( cnotA(X0)
| ( ~ cNothing(sK4(X0))
& rq(X0,sK4(X0)) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rq(X0,X2) )
| ~ cnotA(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f33]) ).
fof(f35,plain,
! [X0] :
( ( cnotAorB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rs(X0,X1) ) )
& ( ! [X1] :
( cNothing(X1)
| ~ rs(X0,X1) )
| ~ cnotAorB(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X0] :
( ( cnotAorB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rs(X0,X1) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rs(X0,X2) )
| ~ cnotAorB(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ( cnotAorB(X0)
| ( ~ cNothing(sK5(X0))
& rs(X0,sK5(X0)) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rs(X0,X2) )
| ~ cnotAorB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f36]) ).
fof(f38,plain,
! [X0] :
( ( cnotAorB(X0)
| ~ cnotB(X0)
| ~ cnotA(X0) )
& ( ( cnotB(X0)
& cnotA(X0) )
| ~ cnotAorB(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f39,plain,
! [X0] :
( ( cnotAorB(X0)
| ~ cnotB(X0)
| ~ cnotA(X0) )
& ( ( cnotB(X0)
& cnotA(X0) )
| ~ cnotAorB(X0) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ( cnotB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rr(X0,X1) ) )
& ( ! [X1] :
( cNothing(X1)
| ~ rr(X0,X1) )
| ~ cnotB(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0] :
( ( cnotB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rr(X0,X1) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rr(X0,X2) )
| ~ cnotB(X0) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ( cnotB(X0)
| ( ~ cNothing(sK6(X0))
& rr(X0,sK6(X0)) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rr(X0,X2) )
| ~ cnotB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f41]) ).
fof(f43,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ( ~ cB(X2)
& ~ cA(X2) )
| ~ cAorB(X2) )
& ( cB(X2)
| cA(X2)
| cAorB(X2) ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f44,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ( ~ cB(X2)
& ~ cA(X2) )
| ~ cAorB(X2) )
& ( cB(X2)
| cA(X2)
| cAorB(X2) ) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) )
| ( ( ( ~ cB(sK9)
& ~ cA(sK9) )
| ~ cAorB(sK9) )
& ( cB(sK9)
| cA(sK9)
| cAorB(sK9) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f44]) ).
fof(f46,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f47,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f48,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0] :
( ~ cA(X0)
| rq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f52,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X0] :
( ~ cAorB(X0)
| rs(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1)
| cAorB(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0] :
( ~ cB(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1)
| cB(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X0] :
( rp(X0,sK3(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f60,plain,
! [X0,X1] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f61,plain,
! [X2,X0] :
( ~ cnotA(X0)
| ~ rq(X0,X2)
| cNothing(X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0] :
( cnotA(X0)
| rq(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f64,plain,
! [X2,X0] :
( ~ cnotAorB(X0)
| ~ rs(X0,X2)
| cNothing(X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f65,plain,
! [X0] :
( cnotAorB(X0)
| rs(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
! [X0] :
( ~ cnotAorB(X0)
| cnotA(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f68,plain,
! [X0] :
( ~ cnotAorB(X0)
| cnotB(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
! [X0] :
( ~ cnotB(X0)
| cnotAorB(X0)
| ~ cnotA(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f70,plain,
! [X2,X0] :
( ~ cnotB(X0)
| ~ rr(X0,X2)
| cNothing(X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f71,plain,
! [X0] :
( cnotB(X0)
| rr(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| cB(sK9)
| cA(sK9)
| cAorB(sK9) ),
inference(cnf_transformation,[],[f45]) ).
fof(f74,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| ~ cA(sK9)
| ~ cAorB(sK9) ),
inference(cnf_transformation,[],[f45]) ).
fof(f75,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| ~ cB(sK9)
| ~ cAorB(sK9) ),
inference(cnf_transformation,[],[f45]) ).
fof(f76,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| cB(sK9)
| cA(sK9)
| cAorB(sK9) ),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| ~ cA(sK9)
| ~ cAorB(sK9) ),
inference(cnf_transformation,[],[f45]) ).
fof(f78,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| ~ cB(sK9)
| ~ cAorB(sK9) ),
inference(cnf_transformation,[],[f45]) ).
fof(f80,definition,
( spl10_1
<=> cAorB(sK9) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f81,plain,
( ~ cAorB(sK9)
| spl10_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( cAorB(sK9)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl10_2
<=> cA(sK9) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f85,plain,
( ~ cA(sK9)
| spl10_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( cA(sK9)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl10_3
<=> cB(sK9) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f89,plain,
( ~ cB(sK9)
| spl10_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( cB(sK9)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl10_4
<=> xsd_string(sK8) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f93,plain,
( ~ xsd_string(sK8)
| spl10_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( xsd_string(sK8)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl10_5
<=> xsd_integer(sK8) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f97,plain,
( xsd_integer(sK8)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( ~ xsd_integer(sK8)
| spl10_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl10_6
<=> cowlNothing(sK7) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f102,plain,
( cowlNothing(sK7)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl10_7
<=> cowlThing(sK7) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f106,plain,
( ~ cowlThing(sK7)
| spl10_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl10_1
| spl10_2
| spl10_3
| spl10_4
| ~ spl10_5
| spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f73,f104,f100,f96,f92,f88,f84,f80]) ).
fof(f108,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_4
| ~ spl10_5
| spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f74,f104,f100,f96,f92,f84,f80]) ).
fof(f109,plain,
( ~ spl10_1
| ~ spl10_3
| spl10_4
| ~ spl10_5
| spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f75,f104,f100,f96,f92,f88,f80]) ).
fof(f110,plain,
( spl10_1
| spl10_2
| spl10_3
| ~ spl10_4
| spl10_5
| spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f76,f104,f100,f96,f92,f88,f84,f80]) ).
fof(f111,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| spl10_5
| spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f77,f104,f100,f96,f92,f84,f80]) ).
fof(f112,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| spl10_5
| spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f78,f104,f100,f96,f92,f88,f80]) ).
fof(f113,plain,
! [X0] : ~ cNothing(X0),
inference(forward_subsumption_resolution,[],[f59,f60]) ).
fof(f114,plain,
( $false
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f106,f47]) ).
fof(f115,plain,
spl10_7,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f116,plain,
( xsd_string(sK8)
| spl10_5 ),
inference(resolution,[],[f49,f98]) ).
fof(f118,plain,
( $false
| spl10_4
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f116,f93]) ).
fof(f119,plain,
( spl10_4
| spl10_5 ),
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f120,plain,
( ~ xsd_string(sK8)
| ~ spl10_5 ),
inference(resolution,[],[f97,f48]) ).
fof(f121,plain,
( $false
| ~ spl10_4
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f120,f94]) ).
fof(f122,plain,
( ~ spl10_4
| ~ spl10_5 ),
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f123,plain,
( $false
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f102,f46]) ).
fof(f124,plain,
~ spl10_6,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f127,plain,
( rs(sK9,sK1(sK9))
| ~ spl10_1 ),
inference(resolution,[],[f54,f82]) ).
fof(f128,plain,
! [X0] :
( cnotB(X0)
| rs(X0,sK5(X0)) ),
inference(resolution,[],[f65,f68]) ).
fof(f129,plain,
! [X0] :
( cnotA(X0)
| rs(X0,sK5(X0)) ),
inference(resolution,[],[f65,f67]) ).
fof(f130,plain,
! [X0] :
( ~ cnotA(X0)
| cnotAorB(X0)
| rr(X0,sK6(X0)) ),
inference(resolution,[],[f71,f69]) ).
fof(f131,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cA(X0) ),
inference(resolution,[],[f52,f47]) ).
fof(f132,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| cAorB(X0) ),
inference(resolution,[],[f55,f47]) ).
fof(f134,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| cB(X0) ),
inference(resolution,[],[f58,f47]) ).
fof(f135,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cNothing(X1)
| rq(X0,sK4(X0)) ),
inference(resolution,[],[f61,f62]) ).
fof(f136,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| rq(X0,sK4(X0)) ),
inference(forward_subsumption_resolution,[],[f135,f113]) ).
fof(f140,plain,
! [X0,X1] :
( rs(X0,sK5(X0))
| ~ rq(X0,X1)
| cNothing(X1) ),
inference(resolution,[],[f129,f61]) ).
fof(f141,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| rs(X0,sK5(X0)) ),
inference(forward_subsumption_resolution,[],[f140,f113]) ).
fof(f142,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| cNothing(X1)
| rs(X0,sK5(X0)) ),
inference(resolution,[],[f70,f128]) ).
fof(f145,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rs(X0,sK5(X0)) ),
inference(forward_subsumption_resolution,[],[f142,f113]) ).
fof(f150,plain,
! [X0] :
( cnotAorB(X0)
| rr(X0,sK6(X0))
| rq(X0,sK4(X0)) ),
inference(resolution,[],[f130,f62]) ).
fof(f151,plain,
! [X0,X1] :
( rr(X0,sK6(X0))
| rq(X0,sK4(X0))
| ~ rs(X0,X1)
| cNothing(X1) ),
inference(resolution,[],[f150,f64]) ).
fof(f154,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rq(X0,sK4(X0))
| rr(X0,sK6(X0)) ),
inference(forward_subsumption_resolution,[],[f151,f113]) ).
fof(f155,plain,
( rq(sK9,sK4(sK9))
| rr(sK9,sK6(sK9))
| ~ spl10_1 ),
inference(resolution,[],[f154,f127]) ).
fof(f158,definition,
( spl10_8
<=> rr(sK9,sK6(sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f160,plain,
( rr(sK9,sK6(sK9))
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl10_9
<=> rq(sK9,sK4(sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f163,plain,
( ~ rq(sK9,sK4(sK9))
| spl10_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( rq(sK9,sK4(sK9))
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,plain,
( spl10_8
| spl10_9
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f155,f80,f162,f158]) ).
fof(f169,plain,
( cB(sK9)
| ~ spl10_8 ),
inference(resolution,[],[f160,f134]) ).
fof(f170,plain,
( $false
| spl10_3
| ~ spl10_8 ),
inference(forward_subsumption_resolution,[],[f169,f89]) ).
fof(f171,plain,
( spl10_3
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f172,plain,
( rs(sK9,sK5(sK9))
| ~ spl10_9 ),
inference(resolution,[],[f164,f141]) ).
fof(f174,plain,
( cA(sK9)
| ~ spl10_9 ),
inference(resolution,[],[f164,f131]) ).
fof(f175,plain,
( $false
| spl10_2
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f174,f85]) ).
fof(f176,plain,
( spl10_2
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f177,plain,
( rq(sK9,sK0(sK9))
| ~ spl10_2 ),
inference(resolution,[],[f86,f51]) ).
fof(f181,plain,
( rq(sK9,sK4(sK9))
| ~ spl10_2 ),
inference(resolution,[],[f177,f136]) ).
fof(f185,plain,
( cAorB(sK9)
| ~ spl10_9 ),
inference(resolution,[],[f172,f132]) ).
fof(f186,plain,
( $false
| spl10_1
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f185,f81]) ).
fof(f187,plain,
( spl10_1
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f188,plain,
( $false
| ~ spl10_2
| spl10_9 ),
inference(forward_subsumption_resolution,[],[f181,f163]) ).
fof(f189,plain,
( ~ spl10_2
| spl10_9 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f190,plain,
( rr(sK9,sK2(sK9))
| ~ spl10_3 ),
inference(resolution,[],[f90,f57]) ).
fof(f192,plain,
( rs(sK9,sK5(sK9))
| ~ spl10_3 ),
inference(resolution,[],[f190,f145]) ).
fof(f199,plain,
( cAorB(sK9)
| ~ spl10_3 ),
inference(resolution,[],[f192,f132]) ).
fof(f200,plain,
( $false
| spl10_1
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f199,f81]) ).
fof(f201,plain,
( spl10_1
| ~ spl10_3 ),
inference(avatar_contradiction_clause,[],[f200]) ).
cnf(s1,plain,
( spl10_1
| spl10_2
| spl10_3
| spl10_4
| ~ spl10_5
| spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f107]) ).
cnf(s2,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_4
| ~ spl10_5
| spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f108]) ).
cnf(s3,plain,
( ~ spl10_1
| ~ spl10_3
| spl10_4
| ~ spl10_5
| spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f109]) ).
cnf(s4,plain,
( spl10_1
| spl10_2
| spl10_3
| ~ spl10_4
| spl10_5
| spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f110]) ).
cnf(s5,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| spl10_5
| spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f111]) ).
cnf(s6,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| spl10_5
| spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f112]) ).
cnf(s7,plain,
spl10_7,
inference(sat_conversion,[],[f115]) ).
cnf(s8,plain,
( spl10_4
| spl10_5 ),
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
( ~ spl10_4
| ~ spl10_5 ),
inference(sat_conversion,[],[f122]) ).
cnf(s10,plain,
~ spl10_6,
inference(sat_conversion,[],[f124]) ).
cnf(s12,plain,
( ~ spl10_1
| spl10_8
| spl10_9 ),
inference(sat_conversion,[],[f166]) ).
cnf(s13,plain,
( spl10_3
| ~ spl10_8 ),
inference(sat_conversion,[],[f171]) ).
cnf(s14,plain,
( spl10_2
| ~ spl10_9 ),
inference(sat_conversion,[],[f176]) ).
cnf(s15,plain,
( spl10_1
| ~ spl10_9 ),
inference(sat_conversion,[],[f187]) ).
cnf(s16,plain,
( ~ spl10_2
| spl10_9 ),
inference(sat_conversion,[],[f189]) ).
cnf(s18,plain,
( spl10_1
| ~ spl10_3 ),
inference(sat_conversion,[],[f201]) ).
cnf(s19,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| spl10_5 ),
inference(rat,[],[s6,s7,s10]) ).
cnf(s20,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| spl10_5 ),
inference(rat,[],[s5,s7,s10]) ).
cnf(s21,plain,
( spl10_1
| spl10_2
| spl10_3
| ~ spl10_4
| spl10_5 ),
inference(rat,[],[s4,s7,s10]) ).
cnf(s22,plain,
( ~ spl10_1
| ~ spl10_3
| spl10_4
| ~ spl10_5 ),
inference(rat,[],[s3,s7,s10]) ).
cnf(s23,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_4
| ~ spl10_5 ),
inference(rat,[],[s2,s7,s10]) ).
cnf(s24,plain,
( spl10_1
| spl10_2
| spl10_3
| spl10_4
| ~ spl10_5 ),
inference(rat,[],[s1,s7,s10]) ).
cnf(s25,plain,
( spl10_4
| spl10_1 ),
inference(rat,[],[s24,s8,s18,s16,s15]) ).
cnf(s26,plain,
spl10_1,
inference(rat,[],[s21,s9,s25,s16,s15,s18]) ).
cnf(s27,plain,
( spl10_4
| ~ spl10_3 ),
inference(rat,[],[s22,s8,s26]) ).
cnf(s28,plain,
~ spl10_3,
inference(rat,[],[s19,s9,s27,s26]) ).
cnf(s29,plain,
~ spl10_8,
inference(rat,[],[s13,s28]) ).
cnf(s30,plain,
spl10_9,
inference(rat,[],[s12,s26,s29]) ).
cnf(s31,plain,
spl10_2,
inference(rat,[],[s14,s30]) ).
cnf(s32,plain,
spl10_4,
inference(rat,[],[s23,s8,s26,s31]) ).
cnf(s33,plain,
~ spl10_5,
inference(rat,[],[s9,s32]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s20,s31,s26,s33,s32]) ).
fof(f202,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:30:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (3530363)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (3530373)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1025355112:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (3530373) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3530363-3530373"...
% 0.12/0.46 % (3530373)...printing done.
% 0.12/0.46 % (3530369)% WARNING: option uhcvi not known.
% 0.12/0.46 % (3530373)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (3530373)------------------------------
% 0.12/0.46 % (3530373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (3530373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (3530373)CaDiCaL version: 2.1.3
% 0.12/0.46 % (3530373)Termination reason: Refutation
% 0.12/0.46 % (3530373)Time elapsed: 0.003 s
% 0.12/0.46 % (3530373)Peak memory usage: 12 MB
% 0.12/0.46 % (3530373)Instructions burned: 6 (million)
% 0.12/0.46 % (3530363)Success in time 0.03 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------