%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS132+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 : n013.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 11:41:43 AM UTC 2026
% Result : Theorem 0.89s 1.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 173 ( 16 unt; 9 def)
% Number of atoms : 580 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 680 ( 273 ~; 310 |; 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 : 145 ( 0 sgn 118 !; 27 ?)
% 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(f3,axiom,
! [X0] :
( cA(X0)
<=> ? [X1] :
( rq(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cAorB(X0)
<=> ? [X1] :
( rs(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cB(X0)
<=> ? [X1] :
( rr(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( rq(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cnotAorB(X0)
<=> ! [X1] :
( rs(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( cnotAorB(X0)
<=> ( cnotB(X0)
& cnotA(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( cnotB(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/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/sandbox/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_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f52,plain,
! [X0,X1] :
( cA(X0)
| ~ rq(X0,X1)
| ~ cowlThing(X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cAorB(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X0,X1] :
( cAorB(X0)
| ~ rs(X0,X1)
| ~ cowlThing(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ cB(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0,X1] :
( cB(X0)
| ~ rr(X0,X1)
| ~ cowlThing(X1) ),
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] :
( rs(X0,sK5(X0))
| cnotAorB(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
! [X0] :
( ~ cnotAorB(X0)
| cnotA(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f68,plain,
! [X0] :
( cnotB(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
! [X0] :
( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f70,plain,
! [X2,X0] :
( cNothing(X2)
| ~ rr(X0,X2)
| ~ cnotB(X0) ),
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(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(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(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,
( $false
| spl10_7 ),
inference(resolution,[],[f47,f106]) ).
fof(f114,plain,
spl10_7,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f115,plain,
( xsd_integer(sK8)
| spl10_4 ),
inference(resolution,[],[f49,f93]) ).
fof(f118,plain,
( ~ xsd_string(sK8)
| ~ spl10_5 ),
inference(resolution,[],[f97,f48]) ).
fof(f121,plain,
( $false
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f102,f46]) ).
fof(f122,plain,
~ spl10_6,
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( cA(X0)
| ~ rq(X0,X1) ),
inference(forward_subsumption_resolution,[],[f52,f47]) ).
fof(f124,plain,
( ! [X0] : ~ rq(sK9,X0)
| spl10_2 ),
inference(resolution,[],[f123,f85]) ).
fof(f125,plain,
! [X0,X1] :
( cAorB(X0)
| ~ rs(X0,X1) ),
inference(forward_subsumption_resolution,[],[f55,f47]) ).
fof(f127,plain,
! [X0,X1] :
( cB(X0)
| ~ rr(X0,X1) ),
inference(forward_subsumption_resolution,[],[f58,f47]) ).
fof(f128,plain,
( ! [X0] : ~ rr(sK9,X0)
| spl10_3 ),
inference(resolution,[],[f127,f89]) ).
fof(f131,plain,
! [X0] : ~ cNothing(X0),
inference(forward_subsumption_resolution,[],[f59,f60]) ).
fof(f132,plain,
! [X2,X0] :
( ~ rr(X0,X2)
| ~ cnotB(X0) ),
inference(forward_subsumption_resolution,[],[f70,f131]) ).
fof(f133,plain,
! [X0] :
( ~ cB(X0)
| ~ cnotB(X0) ),
inference(resolution,[],[f132,f57]) ).
fof(f135,plain,
! [X0] :
( rq(X0,sK4(X0))
| cnotAorB(X0)
| ~ cnotB(X0) ),
inference(resolution,[],[f69,f62]) ).
fof(f138,plain,
( cnotAorB(sK9)
| ~ cnotB(sK9)
| spl10_2 ),
inference(resolution,[],[f135,f124]) ).
fof(f140,definition,
( spl10_8
<=> cnotB(sK9) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f141,plain,
( cnotB(sK9)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( ~ cnotB(sK9)
| spl10_8 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f144,definition,
( spl10_9
<=> cnotAorB(sK9) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f146,plain,
( cnotAorB(sK9)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( ~ spl10_8
| spl10_9
| spl10_2 ),
inference(avatar_split_clause,[],[f138,f84,f144,f140]) ).
fof(f148,plain,
( rr(sK9,sK6(sK9))
| spl10_8 ),
inference(resolution,[],[f142,f71]) ).
fof(f149,plain,
( ~ cnotAorB(sK9)
| spl10_8 ),
inference(resolution,[],[f142,f68]) ).
fof(f150,plain,
( ~ spl10_9
| spl10_8 ),
inference(avatar_split_clause,[],[f149,f140,f144]) ).
fof(f151,plain,
( $false
| spl10_3
| spl10_8 ),
inference(forward_subsumption_resolution,[],[f148,f128]) ).
fof(f152,plain,
( spl10_3
| spl10_8 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f153,plain,
( ! [X0] :
( ~ rs(sK9,X0)
| cNothing(X0) )
| ~ spl10_9 ),
inference(resolution,[],[f146,f64]) ).
fof(f154,plain,
( cnotA(sK9)
| ~ spl10_9 ),
inference(resolution,[],[f146,f67]) ).
fof(f155,plain,
( ! [X0] : ~ rs(sK9,X0)
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f153,f131]) ).
fof(f158,plain,
( ~ cAorB(sK9)
| ~ spl10_9 ),
inference(resolution,[],[f155,f54]) ).
fof(f160,plain,
( $false
| ~ spl10_1
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f158,f82]) ).
fof(f161,plain,
( ~ spl10_1
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f162,plain,
( spl10_5
| spl10_4 ),
inference(avatar_split_clause,[],[f115,f92,f96]) ).
fof(f163,plain,
( ~ spl10_4
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f118,f96,f92]) ).
fof(f164,plain,
( ! [X0] : ~ rs(sK9,X0)
| spl10_1 ),
inference(resolution,[],[f81,f125]) ).
fof(f168,plain,
( cnotAorB(sK9)
| spl10_1 ),
inference(resolution,[],[f164,f65]) ).
fof(f169,plain,
( spl10_9
| spl10_1 ),
inference(avatar_split_clause,[],[f168,f80,f144]) ).
fof(f173,plain,
( ! [X0] :
( ~ rq(sK9,X0)
| cNothing(X0) )
| ~ spl10_9 ),
inference(resolution,[],[f154,f61]) ).
fof(f174,plain,
( ! [X0] : ~ rq(sK9,X0)
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f173,f131]) ).
fof(f175,plain,
( ~ cA(sK9)
| ~ spl10_9 ),
inference(resolution,[],[f174,f51]) ).
fof(f180,plain,
( ~ spl10_2
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f175,f144,f84]) ).
fof(f182,plain,
( ~ cnotB(sK9)
| ~ spl10_3 ),
inference(resolution,[],[f90,f133]) ).
fof(f183,plain,
( $false
| ~ spl10_3
| ~ spl10_8 ),
inference(forward_subsumption_resolution,[],[f182,f141]) ).
fof(f184,plain,
( ~ spl10_3
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f183]) ).
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,[],[f114]) ).
cnf(s10,plain,
~ spl10_6,
inference(sat_conversion,[],[f122]) ).
cnf(s11,plain,
( spl10_2
| ~ spl10_8
| spl10_9 ),
inference(sat_conversion,[],[f147]) ).
cnf(s12,plain,
( spl10_8
| ~ spl10_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s13,plain,
( spl10_3
| spl10_8 ),
inference(sat_conversion,[],[f152]) ).
cnf(s14,plain,
( ~ spl10_1
| ~ spl10_9 ),
inference(sat_conversion,[],[f161]) ).
cnf(s15,plain,
( spl10_4
| spl10_5 ),
inference(sat_conversion,[],[f162]) ).
cnf(s16,plain,
( ~ spl10_4
| ~ spl10_5 ),
inference(sat_conversion,[],[f163]) ).
cnf(s18,plain,
( spl10_1
| spl10_9 ),
inference(sat_conversion,[],[f169]) ).
cnf(s20,plain,
( ~ spl10_2
| ~ spl10_9 ),
inference(sat_conversion,[],[f180]) ).
cnf(s21,plain,
( ~ spl10_3
| ~ spl10_8 ),
inference(sat_conversion,[],[f184]) ).
cnf(s22,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| spl10_5 ),
inference(rat,[],[s6,s7,s10]) ).
cnf(s23,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_4
| spl10_5 ),
inference(rat,[],[s5,s7,s10]) ).
cnf(s24,plain,
( spl10_1
| spl10_2
| spl10_3
| ~ spl10_4
| spl10_5 ),
inference(rat,[],[s4,s7,s10]) ).
cnf(s25,plain,
( ~ spl10_1
| ~ spl10_3
| spl10_4
| ~ spl10_5 ),
inference(rat,[],[s3,s7,s10]) ).
cnf(s26,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_4
| ~ spl10_5 ),
inference(rat,[],[s2,s7,s10]) ).
cnf(s27,plain,
( spl10_1
| spl10_2
| spl10_3
| spl10_4
| ~ spl10_5 ),
inference(rat,[],[s1,s7,s10]) ).
cnf(s28,plain,
( spl10_4
| spl10_1 ),
inference(rat,[],[s27,s15,s20,s21,s12,s18]) ).
cnf(s29,plain,
spl10_1,
inference(rat,[],[s24,s16,s28,s21,s12,s20,s18]) ).
cnf(s30,plain,
~ spl10_9,
inference(rat,[],[s14,s29]) ).
cnf(s31,plain,
( spl10_4
| ~ spl10_3 ),
inference(rat,[],[s25,s15,s29]) ).
cnf(s32,plain,
~ spl10_3,
inference(rat,[],[s22,s16,s31,s29]) ).
cnf(s33,plain,
spl10_8,
inference(rat,[],[s13,s32]) ).
cnf(s34,plain,
spl10_2,
inference(rat,[],[s11,s30,s33]) ).
cnf(s35,plain,
spl10_4,
inference(rat,[],[s26,s15,s29,s34]) ).
cnf(s36,plain,
~ spl10_5,
inference(rat,[],[s16,s35]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s23,s34,s29,s36,s35]) ).
fof(f185,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.59 % Computer : n013.cluster.edu
% 0.10/0.59 % Model : x86_64 x86_64
% 0.10/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.59 % Memory : 8046.5625MB
% 0.10/0.59 % OS : Linux 6.8.0-71-generic
% 0.10/0.59 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Sun Sep 27 13:27:22 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.63 Running first-order theorem proving
% 0.10/0.63 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
% 0.89/1.51 % (230296)Detected formulas, will run a generic FOF schedule.
% 0.89/1.51 % (230304)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4175629074:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.89/1.51 % (230304)Refutation not found, incomplete strategy
% 0.89/1.51 % (230304)------------------------------
% 0.89/1.51 % (230304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.89/1.51 % (230304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/1.51 % (230304)CaDiCaL version: 2.1.3
% 0.89/1.51 % (230304)Termination reason: Refutation not found, incomplete strategy
% 0.89/1.51 % (230304)Time elapsed: 0.001 s
% 0.89/1.51 % (230304)Peak memory usage: 87 MB
% 0.89/1.51 % (230302)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=61065953:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.89/1.51 % (230303)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=957506554:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.89/1.51 % (230307)dis-21_1_sil=8000:lcm=predicate:random_seed=4231283574: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)
% 0.89/1.51 % (230306)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=626593772:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.89/1.51 % (230305)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3881978299:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.89/1.51 % (230301)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=489917683:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.89/1.51 % (230305)Refutation not found, incomplete strategy
% 0.89/1.51 % (230305)------------------------------
% 0.89/1.51 % (230305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.89/1.51 % (230305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/1.51 % (230305)CaDiCaL version: 2.1.3
% 0.89/1.51 % (230305)Termination reason: Refutation not found, incomplete strategy
% 0.89/1.51 % (230305)Time elapsed: 0.002 s
% 0.89/1.51 % (230305)Peak memory usage: 88 MB
% 0.89/1.51 % (230305)Instructions burned: 1 (million)
% 0.89/1.51 % (230307)Also succeeded, but the first one will report.
% 0.89/1.51 % (230306)First to succeed.
% 0.89/1.51 % (230306)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-230296"
% 0.89/1.51 % (230304)------------------------------
% 0.89/1.51 % (230304)------------------------------
% 0.89/1.51 % (230305)------------------------------
% 0.89/1.51 % (230305)------------------------------
% 0.89/1.51 % (230306)Refutation found. Thanks to Tanya!
% 0.89/1.51 % SZS status Theorem for theBenchmark
% 0.89/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.70 % (230306)------------------------------
% 0.16/1.70 % (230306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.70 % (230306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (230306)CaDiCaL version: 2.1.3
% 0.16/1.70 % (230306)Termination reason: Refutation
% 0.16/1.70 % (230306)Time elapsed: 0.005 s
% 0.16/1.70 % (230306)Peak memory usage: 89 MB
% 0.16/1.70 % (230306)Instructions burned: 6 (million)
% 0.16/1.70 % (230306)------------------------------
% 0.16/1.70 % (230306)------------------------------
% 0.16/1.70 % (230296)Success in time 0.434 s
% 0.16/1.70 % Vampire exiting
%------------------------------------------------------------------------------