%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Thu Sep 24 12:59:45 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 133 ( 8 unt; 8 def)
% Number of atoms : 442 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 506 ( 197 ~; 211 |; 66 &)
% ( 23 <=>; 5 =>; 0 <=; 4 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 178 ( 147 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( cA(X)
<=> ? [Y] :
( cowlThing(Y)
& rq(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cAorB(X)
<=> ? [Y] :
( cowlThing(Y)
& rs(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cB(X)
<=> ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cNothing(X)
=> ~ ? [Y] : rp(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cnotA(X)
<=> ! [Y] :
( rq(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( cnotAorB(X)
<=> ! [Y] :
( rs(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( cnotAorB(X)
<=> ( cnotA(X)
& cnotB(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( cnotB(X)
<=> ! [Y] :
( rr(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
( ! [X] :
( cAorB(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ( ! [X] :
( cAorB(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f15,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f21,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rq(X,Y) )
| cA(X) )
& ( ? [Y] :
( cowlThing(Y)
& rq(X,Y) )
| ~ cA(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rq(X,Y) )
| cA(X) )
& ! [X] :
( ? [Y] :
( cowlThing(Y)
& rq(X,Y) )
| ~ cA(X) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rq(X,Y) )
| cA(X) )
& ! [X] :
( ( cowlThing(sK0_skl(X))
& rq(X,sK0_skl(X)) )
| ~ cA(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f22]) ).
fof(f24,plain,
! [X0] :
( rq(X0,sK0_skl(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f27,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| cAorB(X) )
& ( ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
| ~ cAorB(X) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| cAorB(X) )
& ! [X] :
( ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
| ~ cAorB(X) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f29,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| cAorB(X) )
& ! [X] :
( ( cowlThing(sK1_skl(X))
& rs(X,sK1_skl(X)) )
| ~ cAorB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f28]) ).
fof(f30,plain,
! [X0] :
( rs(X0,sK1_skl(X0))
| ~ cAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f32,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1)
| cAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f33,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cB(X) )
& ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
| ~ cB(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cB(X) )
& ! [X] :
( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
| ~ cB(X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cB(X) )
& ! [X] :
( ( cowlThing(sK2_skl(X))
& rr(X,sK2_skl(X)) )
| ~ cB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f34]) ).
fof(f36,plain,
! [X0] :
( rr(X0,sK2_skl(X0))
| ~ cB(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1)
| cB(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f39,plain,
! [X] :
( ? [Y0] : rp(X,Y0)
| ~ cNothing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f40,plain,
! [X] :
( rp(X,sK3_skl(X))
| ~ cNothing(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f39]) ).
fof(f41,plain,
! [X0] :
( rp(X0,sK3_skl(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [X] :
( ! [Y] : ~ rp(X,Y)
| ~ cNothing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f43,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X] :
( cnotA(X)
<=> ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f45,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rq(X,Y) )
| cnotA(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(NNF_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
( ! [X] :
( ? [Y] :
( ~ cNothing(Y)
& rq(X,Y) )
| cnotA(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
( ! [X] :
( ( ~ cNothing(sK4_skl(X))
& rq(X,sK4_skl(X)) )
| cnotA(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( cNothing(X1)
| ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0] :
( rq(X0,sK4_skl(X0))
| cnotA(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f51,plain,
! [X] :
( cnotAorB(X)
<=> ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rs(X,Y) )
| cnotAorB(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(NNF_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
( ! [X] :
( ? [Y] :
( ~ cNothing(Y)
& rs(X,Y) )
| cnotAorB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f54,plain,
( ! [X] :
( ( ~ cNothing(sK5_skl(X))
& rs(X,sK5_skl(X)) )
| cnotAorB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( cNothing(X1)
| ~ rs(X0,X1)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0] :
( rs(X0,sK5_skl(X0))
| cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f58,plain,
! [X] :
( ( ~ cnotA(X)
| ~ cnotB(X)
| cnotAorB(X) )
& ( ( cnotA(X)
& cnotB(X) )
| ~ cnotAorB(X) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f59,plain,
( ! [X] :
( ~ cnotA(X)
| ~ cnotB(X)
| cnotAorB(X) )
& ! [X] :
( ( cnotA(X)
& cnotB(X) )
| ~ cnotAorB(X) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f60,plain,
! [X0] :
( cnotB(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X0] :
( cnotA(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f62,plain,
! [X0] :
( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f63,plain,
! [X] :
( cnotB(X)
<=> ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rr(X,Y) )
| cnotB(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(NNF_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
( ! [X] :
( ? [Y] :
( ~ cNothing(Y)
& rr(X,Y) )
| cnotB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f66,plain,
( ! [X] :
( ( ~ cNothing(sK6_skl(X))
& rr(X,sK6_skl(X)) )
| cnotB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y,sK6_skl(X))],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( cNothing(X1)
| ~ rr(X0,X1)
| ~ cnotB(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0] :
( rr(X0,sK6_skl(X0))
| cnotB(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f70,plain,
( ? [X] :
( cAorB(X)
<~> ( cA(X)
| cB(X) ) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f71,definition,
! [X] :
( sP0_prd(X)
<=> ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f72,plain,
( ? [X] :
( cAorB(X)
<~> ( cA(X)
| cB(X) ) )
| ? [X] : sP0_prd(X)
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(formula_renaming,[status(thm)],[f70,f71]) ).
fof(f73,plain,
( ? [X] :
( ( ( ~ cA(X)
& ~ cB(X) )
| ~ cAorB(X) )
& ( cA(X)
| cB(X)
| cAorB(X) ) )
| ? [X] : sP0_prd(X)
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
( ? [X] :
( ( ( ~ cA(X)
& ~ cB(X) )
| ~ cAorB(X) )
& ( cA(X)
| cB(X)
| cAorB(X) ) )
| ? [X] : sP0_prd(X)
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
( ( ( ( ~ cA(sK10_skl)
& ~ cB(sK10_skl) )
| ~ cAorB(sK10_skl) )
& ( cA(sK10_skl)
| cB(sK10_skl)
| cAorB(sK10_skl) ) )
| sP0_prd(sK9_skl)
| cowlNothing(sK8_skl)
| ~ cowlThing(sK7_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(X,sK7_skl),skolemize(X,sK8_skl),skolemize(X,sK9_skl),skolemize(X,sK10_skl)],[f74]) ).
fof(f76,plain,
( cA(sK10_skl)
| cB(sK10_skl)
| cAorB(sK10_skl)
| sP0_prd(sK9_skl)
| cowlNothing(sK8_skl)
| ~ cowlThing(sK7_skl) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
( ~ cB(sK10_skl)
| ~ cAorB(sK10_skl)
| sP0_prd(sK9_skl)
| cowlNothing(sK8_skl)
| ~ cowlThing(sK7_skl) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
( ~ cA(sK10_skl)
| ~ cAorB(sK10_skl)
| sP0_prd(sK9_skl)
| cowlNothing(sK8_skl)
| ~ cowlThing(sK7_skl) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,plain,
! [X] :
( ( ( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) )
| sP0_prd(X) )
& ( ( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ~ sP0_prd(X) ) ),
inference(NNF_transformation,[status(thm)],[f71]) ).
fof(f80,plain,
( ! [X] :
( ( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) )
| sP0_prd(X) )
& ! [X] :
( ( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ~ sP0_prd(X) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0] :
( xsd_integer(X0)
| ~ xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f85,definition,
( sQ0_spl
<=> cowlThing(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( sQ0_spl
| ~ cowlThing(sK7_skl) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,definition,
( sQ1_spl
<=> cowlNothing(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ1_spl
| cowlNothing(sK8_skl) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ2_spl
<=> sP0_prd(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ2_spl
| sP0_prd(sK9_skl) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,definition,
( sQ3_spl
<=> cAorB(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ3_spl
| cAorB(sK10_skl) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f96,plain,
( sQ3_spl
| ~ cAorB(sK10_skl) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ4_spl
<=> cB(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ4_spl
| cB(sK10_skl) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,definition,
( sQ5_spl
<=> cA(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ5_spl
| cA(sK10_skl) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f85,f88,f91,f94,f97,f100]) ).
fof(f104,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f77,f85,f88,f91,f94,f97]) ).
fof(f105,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f78,f85,f88,f91,f94,f100]) ).
fof(f106,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f81,f19]) ).
fof(f107,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f82,f19]) ).
fof(f109,plain,
! [X0] :
( xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(resolution,[status(thm)],[f106,f20]) ).
fof(f110,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f92,f111]) ).
fof(f111,plain,
! [X0] : ~ sP0_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f109,f107]) ).
fof(f112,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f16]) ).
fof(f114,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f15]) ).
fof(f116,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cA(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f26,f15]) ).
fof(f118,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| cAorB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f15]) ).
fof(f119,plain,
! [X0] : ~ cNothing(X0),
inference(forward_subsumption_resolution,[status(thm)],[f41,f43]) ).
fof(f120,plain,
! [X0] :
( cA(X0)
| cnotA(X0) ),
inference(resolution,[status(thm)],[f49,f117]) ).
fof(f121,plain,
! [X0] :
( cAorB(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[f56,f118]) ).
fof(f122,plain,
! [X0] :
( cnotA(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[f121,f61]) ).
fof(f123,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| cB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f15]) ).
fof(f125,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f119]) ).
fof(f128,plain,
! [X0] :
( cB(X0)
| cnotB(X0) ),
inference(resolution,[status(thm)],[f68,f123]) ).
fof(f129,plain,
! [X0] :
( ~ cnotA(X0)
| cnotAorB(X0)
| cB(X0) ),
inference(resolution,[status(thm)],[f128,f62]) ).
fof(f131,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| ~ cnotAorB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f119]) ).
fof(f133,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ cnotB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f119]) ).
fof(f135,plain,
! [X0,X1] :
( ~ cnotAorB(X0)
| ~ rr(X0,X1) ),
inference(resolution,[status(thm)],[f133,f60]) ).
fof(f137,plain,
! [X0,X1] :
( cAorB(X0)
| ~ rr(X0,X1) ),
inference(resolution,[status(thm)],[f135,f121]) ).
fof(f139,plain,
! [X0] :
( ~ cB(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[f137,f36]) ).
fof(f142,plain,
( ~ sQ4_spl
| cAorB(sK10_skl) ),
inference(resolution,[status(thm)],[f139,f98]) ).
fof(f143,plain,
( ~ sQ4_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f96]) ).
fof(f144,plain,
( ~ sQ4_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( ~ sQ3_spl
| rs(sK10_skl,sK1_skl(sK10_skl)) ),
inference(resolution,[status(thm)],[f95,f30]) ).
fof(f146,plain,
( ~ sQ3_spl
| ~ cnotAorB(sK10_skl) ),
inference(resolution,[status(thm)],[f145,f131]) ).
fof(f148,plain,
( ~ sQ3_spl
| ~ cnotA(sK10_skl)
| cB(sK10_skl) ),
inference(resolution,[status(thm)],[f146,f129]) ).
fof(f150,definition,
( sQ6_spl
<=> cnotA(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( sQ6_spl
| ~ cnotA(sK10_skl) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( ~ sQ3_spl
| ~ sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f148,f97,f150,f94]) ).
fof(f154,plain,
( ~ sQ5_spl
| rq(sK10_skl,sK0_skl(sK10_skl)) ),
inference(resolution,[status(thm)],[f101,f24]) ).
fof(f155,plain,
( ~ sQ5_spl
| ~ cnotA(sK10_skl) ),
inference(resolution,[status(thm)],[f154,f125]) ).
fof(f157,plain,
( ~ sQ5_spl
| cAorB(sK10_skl) ),
inference(resolution,[status(thm)],[f155,f122]) ).
fof(f159,plain,
( ~ sQ5_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f157,f94,f100]) ).
fof(f161,plain,
( sQ6_spl
| cA(sK10_skl) ),
inference(resolution,[status(thm)],[f152,f120]) ).
fof(f162,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f161,f100,f150]) ).
fof(f163,plain,
$false,
inference(sat_refutation,[status(thm)],[f103,f104,f105,f112,f114,f116,f144,f153,f159,f162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:55:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.049994 seconds
% 0.10/0.43 % CPU time: 0.126969 seconds
% 0.10/0.43 % Total memory used: 17.485 MB
% 0.10/0.43 % Net memory used: 17.220 MB
%------------------------------------------------------------------------------