%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Thu Sep 24 12:59:48 PM UTC 2026
% Result : Theorem 0.09s 5.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 51
% Syntax : Number of formulae : 212 ( 49 unt; 21 def)
% Number of atoms : 727 ( 0 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 867 ( 352 ~; 359 |; 119 &)
% ( 36 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 44 ( 43 usr; 22 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-1 aty)
% Number of variables : 172 ( 138 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( cC10(X)
<=> ( cC8(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cTOP(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( ~ cC32(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( cC60(X)
<=> ( ~ cC2(X)
& cC58(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( cC60(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( ~ cC6(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( cC80(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
rR1(iV8467,iV8475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,axiom,
~ cC32(iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
~ cC2(iV8475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,axiom,
cC2(iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,conjecture,
( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
~ ( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f89,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f90,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f92,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f93,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f96,plain,
! [X] :
( ( ~ cC8(X)
| ~ cC4(X)
| cC10(X) )
& ( ( cC8(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
( ! [X] :
( ~ cC8(X)
| ~ cC4(X)
| cC10(X) )
& ! [X] :
( ( cC8(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f100,plain,
! [X0] :
( ~ cC8(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f107,plain,
! [X] :
( ( ! [Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ( ? [Y] :
( cTOP(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f108,plain,
( ! [X] :
( ! [Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ! [X] :
( ? [Y] :
( cTOP(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f109,plain,
( ! [X] :
( ! [Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ! [X] :
( ( cTOP(sK1_skl(X))
& rR1(X,sK1_skl(X)) )
| ~ cC14(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f108]) ).
fof(f112,plain,
! [X0,X1] :
( ~ cTOP(X1)
| ~ rR1(X0,X1)
| cC14(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f124,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC20(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f125,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC20(X) )
& ! [X] :
( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(miniscoping,[status(thm)],[f124]) ).
fof(f126,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC20(X) )
& ! [X] :
( ( ~ cC2(sK3_skl(X))
& rR1(X,sK3_skl(X)) )
| ~ cC20(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f125]) ).
fof(f129,plain,
! [X0,X1] :
( cC2(X1)
| ~ rR1(X0,X1)
| cC20(X0) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f164,plain,
! [X] :
( ( ! [Y] :
( cC32(Y)
| ~ rR1(X,Y) )
| cC34(X) )
& ( ? [Y] :
( ~ cC32(Y)
& rR1(X,Y) )
| ~ cC34(X) ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f165,plain,
( ! [X] :
( ! [Y] :
( cC32(Y)
| ~ rR1(X,Y) )
| cC34(X) )
& ! [X] :
( ? [Y] :
( ~ cC32(Y)
& rR1(X,Y) )
| ~ cC34(X) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f166,plain,
( ! [X] :
( ! [Y] :
( cC32(Y)
| ~ rR1(X,Y) )
| cC34(X) )
& ! [X] :
( ( ~ cC32(sK8_skl(X))
& rR1(X,sK8_skl(X)) )
| ~ cC34(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y,sK8_skl(X))],[f165]) ).
fof(f169,plain,
! [X0,X1] :
( cC32(X1)
| ~ rR1(X0,X1)
| cC34(X0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f182,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC4(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f183,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC4(X) )
& ! [X] :
( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(miniscoping,[status(thm)],[f182]) ).
fof(f184,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC4(X) )
& ! [X] :
( ( ~ cC2(sK11_skl(X))
& rR1(X,sK11_skl(X)) )
| ~ cC4(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(Y,sK11_skl(X))],[f183]) ).
fof(f187,plain,
! [X0,X1] :
( cC2(X1)
| ~ rR1(X0,X1)
| cC4(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f210,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC48(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC48(X) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f211,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC48(X) )
& ! [X] :
( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC48(X) ) ),
inference(miniscoping,[status(thm)],[f210]) ).
fof(f212,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC48(X) )
& ! [X] :
( ( ~ cC2(sK14_skl(X))
& rR1(X,sK14_skl(X)) )
| ~ cC48(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(Y,sK14_skl(X))],[f211]) ).
fof(f215,plain,
! [X0,X1] :
( cC2(X1)
| ~ rR1(X0,X1)
| cC48(X0) ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f238,plain,
! [X] :
( ( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC58(X) )
& ( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC58(X) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f239,plain,
( ! [X] :
( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC58(X) )
& ! [X] :
( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC58(X) ) ),
inference(miniscoping,[status(thm)],[f238]) ).
fof(f240,plain,
( ! [X] :
( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC58(X) )
& ! [X] :
( ( cC2(sK17_skl(X))
& rR1(X,sK17_skl(X)) )
| ~ cC58(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(Y,sK17_skl(X))],[f239]) ).
fof(f243,plain,
! [X0,X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1)
| cC58(X0) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f250,plain,
! [X] :
( ( cC2(X)
| ~ cC58(X)
| cC60(X) )
& ( ( ~ cC2(X)
& cC58(X) )
| ~ cC60(X) ) ),
inference(NNF_transformation,[status(thm)],[f30]) ).
fof(f251,plain,
( ! [X] :
( cC2(X)
| ~ cC58(X)
| cC60(X) )
& ! [X] :
( ( ~ cC2(X)
& cC58(X) )
| ~ cC60(X) ) ),
inference(miniscoping,[status(thm)],[f250]) ).
fof(f254,plain,
! [X0] :
( cC2(X0)
| ~ cC58(X0)
| cC60(X0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
! [X] :
( ( ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) )
| cC62(X) )
& ( ? [Y] :
( cC60(Y)
& rR1(X,Y) )
| ~ cC62(X) ) ),
inference(NNF_transformation,[status(thm)],[f31]) ).
fof(f256,plain,
( ! [X] :
( ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) )
| cC62(X) )
& ! [X] :
( ? [Y] :
( cC60(Y)
& rR1(X,Y) )
| ~ cC62(X) ) ),
inference(miniscoping,[status(thm)],[f255]) ).
fof(f257,plain,
( ! [X] :
( ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) )
| cC62(X) )
& ! [X] :
( ( cC60(sK19_skl(X))
& rR1(X,sK19_skl(X)) )
| ~ cC62(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(Y,sK19_skl(X))],[f256]) ).
fof(f260,plain,
! [X0,X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1)
| cC62(X0) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f306,plain,
! [X] :
( ( ! [Y] :
( cC6(Y)
| ~ rR1(X,Y) )
| cC8(X) )
& ( ? [Y] :
( ~ cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(NNF_transformation,[status(thm)],[f40]) ).
fof(f307,plain,
( ! [X] :
( ! [Y] :
( cC6(Y)
| ~ rR1(X,Y) )
| cC8(X) )
& ! [X] :
( ? [Y] :
( ~ cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(miniscoping,[status(thm)],[f306]) ).
fof(f308,plain,
( ! [X] :
( ! [Y] :
( cC6(Y)
| ~ rR1(X,Y) )
| cC8(X) )
& ! [X] :
( ( ~ cC6(sK25_skl(X))
& rR1(X,sK25_skl(X)) )
| ~ cC8(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(Y,sK25_skl(X))],[f307]) ).
fof(f311,plain,
! [X0,X1] :
( cC6(X1)
| ~ rR1(X0,X1)
| cC8(X0) ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f312,plain,
! [X] :
( ( cC78(X)
| cC2(X)
| cC80(X) )
& ( ( ~ cC78(X)
& ~ cC2(X) )
| ~ cC80(X) ) ),
inference(NNF_transformation,[status(thm)],[f41]) ).
fof(f313,plain,
( ! [X] :
( cC78(X)
| cC2(X)
| cC80(X) )
& ! [X] :
( ( ~ cC78(X)
& ~ cC2(X) )
| ~ cC80(X) ) ),
inference(miniscoping,[status(thm)],[f312]) ).
fof(f316,plain,
! [X0] :
( cC78(X0)
| cC2(X0)
| cC80(X0) ),
inference(cnf_transformation,[status(thm)],[f313]) ).
fof(f317,plain,
! [X] :
( ( ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) )
| cC82(X) )
& ( ? [Y] :
( cC80(Y)
& rR1(X,Y) )
| ~ cC82(X) ) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f318,plain,
( ! [X] :
( ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) )
| cC82(X) )
& ! [X] :
( ? [Y] :
( cC80(Y)
& rR1(X,Y) )
| ~ cC82(X) ) ),
inference(miniscoping,[status(thm)],[f317]) ).
fof(f319,plain,
( ! [X] :
( ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) )
| cC82(X) )
& ! [X] :
( ( cC80(sK26_skl(X))
& rR1(X,sK26_skl(X)) )
| ~ cC82(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(Y,sK26_skl(X))],[f318]) ).
fof(f322,plain,
! [X0,X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1)
| cC82(X0) ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f368,plain,
rR1(iV8467,iV8471),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f371,plain,
rR1(iV8467,iV8469),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f372,plain,
rR1(iV8467,iV8475),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f373,plain,
rR1(iV8467,iV8472),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f374,plain,
rR1(iV8467,iV8474),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f375,plain,
rR1(iV8467,iV8470),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f378,plain,
~ cC6(iV8469),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f382,plain,
cTOP(iV8470),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f384,plain,
~ cC2(iV8471),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f385,plain,
~ cC78(iV8471),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f389,plain,
~ cC2(iV8472),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f391,plain,
rR1(iV8472,iV8476),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f396,plain,
~ cC32(iV8474),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f398,plain,
~ cC2(iV8475),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f400,plain,
cC2(iV8476),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f402,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f88]) ).
fof(f403,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f402]) ).
fof(f404,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f403]) ).
fof(f405,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ( ( xsd_integer(sK33_skl)
| ~ xsd_string(sK33_skl) )
& ( ~ xsd_integer(sK33_skl)
| xsd_string(sK33_skl) ) )
| cowlNothing(sK32_skl)
| ~ cowlThing(sK31_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31_skl,sK32_skl,sK33_skl]),skolemize(X,sK31_skl),skolemize(X,sK32_skl),skolemize(X,sK33_skl)],[f404]) ).
fof(f406,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ xsd_integer(sK33_skl)
| xsd_string(sK33_skl)
| cowlNothing(sK32_skl)
| ~ cowlThing(sK31_skl) ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| xsd_integer(sK33_skl)
| ~ xsd_string(sK33_skl)
| cowlNothing(sK32_skl)
| ~ cowlThing(sK31_skl) ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ0_spl
<=> cowlThing(sK31_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( sQ0_spl
| ~ cowlThing(sK31_skl) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ1_spl
<=> cowlNothing(sK32_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ1_spl
| cowlNothing(sK32_skl) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ2_spl
<=> xsd_string(sK33_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ2_spl
| xsd_string(sK33_skl) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ2_spl
| ~ xsd_string(sK33_skl) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ3_spl
<=> xsd_integer(sK33_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ3_spl
| xsd_integer(sK33_skl) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ4_spl
<=> cC10(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ4_spl
| ~ cC10(iV8467) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ5_spl
<=> cC48(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ5_spl
| ~ cC48(iV8467) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ6_spl
<=> cC4(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ6_spl
| ~ cC4(iV8467) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ7_spl
<=> cC82(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( sQ7_spl
| ~ cC82(iV8467) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ8_spl
<=> cC14(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ8_spl
| ~ cC14(iV8467) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ9_spl
<=> cC8(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( sQ9_spl
| ~ cC8(iV8467) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ10_spl
<=> cC20(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( sQ10_spl
| ~ cC20(iV8467) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ11_spl
<=> cowlThing(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ11_spl
| ~ cowlThing(iV8467) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ12_spl
<=> cC62(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ12_spl
| ~ cC62(iV8467) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ13_spl
<=> cC34(iV8467) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ13_spl
| ~ cC34(iV8467) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ14_spl
<=> cowlThing(iV8471) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ14_spl
| ~ cowlThing(iV8471) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ15_spl
<=> cC80(iV8471) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ15_spl
| cC80(iV8471) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ16_spl
<=> cC60(iV8472) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ16_spl
| cC60(iV8472) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ17_spl
<=> cowlThing(iV8472) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ17_spl
| ~ cowlThing(iV8472) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ18_spl
<=> cC58(iV8472) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ18_spl
| cC58(iV8472) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( sQ18_spl
| ~ cC58(iV8472) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f406,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f462]) ).
fof(f466,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f407,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f462]) ).
fof(f468,plain,
( cC2(iV8471)
| cC80(iV8471) ),
inference(resolution,[status(thm)],[f316,f385]) ).
fof(f469,definition,
( sQ19_spl
<=> cC2(iV8471) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ19_spl
| cC2(iV8471) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ19_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f468,f453,f469]) ).
fof(f476,plain,
! [X0] :
( ~ rR1(X0,iV8476)
| cC58(X0) ),
inference(resolution,[status(thm)],[f400,f243]) ).
fof(f488,plain,
cC58(iV8472),
inference(resolution,[status(thm)],[f391,f476]) ).
fof(f489,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f464]) ).
fof(f490,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f461,f90]) ).
fof(f492,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( ~ sQ18_spl
| cC2(iV8472)
| cC60(iV8472) ),
inference(resolution,[status(thm)],[f463,f254]) ).
fof(f494,definition,
( sQ20_spl
<=> cC2(iV8472) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ20_spl
| cC2(iV8472) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ sQ18_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f493,f456,f494,f462]) ).
fof(f498,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f90]) ).
fof(f499,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f502,plain,
! [X0] :
( sQ13_spl
| cC32(X0)
| ~ rR1(iV8467,X0) ),
inference(resolution,[status(thm)],[f449,f169]) ).
fof(f503,plain,
( sQ13_spl
| ~ rR1(iV8467,iV8474) ),
inference(resolution,[status(thm)],[f502,f396]) ).
fof(f504,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f374]) ).
fof(f505,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f506,plain,
! [X0] :
( sQ12_spl
| ~ cC60(X0)
| ~ rR1(iV8467,X0) ),
inference(resolution,[status(thm)],[f446,f260]) ).
fof(f507,plain,
( ~ sQ16_spl
| sQ12_spl
| ~ rR1(iV8467,iV8472) ),
inference(resolution,[status(thm)],[f506,f457]) ).
fof(f508,plain,
( ~ sQ16_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f373]) ).
fof(f509,plain,
( ~ sQ16_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f90]) ).
fof(f511,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f510]) ).
fof(f512,plain,
! [X0] :
( sQ10_spl
| cC2(X0)
| ~ rR1(iV8467,X0) ),
inference(resolution,[status(thm)],[f440,f129]) ).
fof(f513,plain,
( sQ10_spl
| ~ rR1(iV8467,iV8475) ),
inference(resolution,[status(thm)],[f512,f398]) ).
fof(f519,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f372]) ).
fof(f520,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f521,plain,
! [X0] :
( sQ9_spl
| cC6(X0)
| ~ rR1(iV8467,X0) ),
inference(resolution,[status(thm)],[f437,f311]) ).
fof(f523,plain,
( sQ9_spl
| ~ rR1(iV8467,iV8469) ),
inference(resolution,[status(thm)],[f521,f378]) ).
fof(f524,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f371]) ).
fof(f525,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f527,plain,
! [X0] :
( ~ rR1(X0,iV8470)
| cC14(X0) ),
inference(resolution,[status(thm)],[f112,f382]) ).
fof(f550,plain,
cC14(iV8467),
inference(resolution,[status(thm)],[f527,f375]) ).
fof(f551,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f434]) ).
fof(f552,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
! [X0] :
( sQ7_spl
| ~ cC80(X0)
| ~ rR1(iV8467,X0) ),
inference(resolution,[status(thm)],[f431,f322]) ).
fof(f556,plain,
( ~ sQ15_spl
| sQ7_spl
| ~ rR1(iV8467,iV8471) ),
inference(resolution,[status(thm)],[f553,f454]) ).
fof(f557,plain,
( ~ sQ15_spl
| sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f556,f368]) ).
fof(f558,plain,
( ~ sQ15_spl
| sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f559,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f384]) ).
fof(f560,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f561,plain,
! [X0] :
( sQ6_spl
| cC2(X0)
| ~ rR1(iV8467,X0) ),
inference(resolution,[status(thm)],[f428,f187]) ).
fof(f578,plain,
( sQ6_spl
| cC2(iV8475) ),
inference(resolution,[status(thm)],[f561,f372]) ).
fof(f584,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f398]) ).
fof(f585,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f586,plain,
! [X0] :
( sQ5_spl
| cC2(X0)
| ~ rR1(iV8467,X0) ),
inference(resolution,[status(thm)],[f425,f215]) ).
fof(f590,plain,
( sQ5_spl
| cC2(iV8475) ),
inference(resolution,[status(thm)],[f586,f372]) ).
fof(f596,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f398]) ).
fof(f597,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ4_spl
| ~ cC8(iV8467)
| ~ cC4(iV8467) ),
inference(resolution,[status(thm)],[f422,f100]) ).
fof(f599,plain,
( sQ4_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f598,f426,f435,f420]) ).
fof(f600,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f91]) ).
fof(f601,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f410,f90]) ).
fof(f603,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( ~ sQ3_spl
| ~ xsd_string(sK33_skl) ),
inference(resolution,[status(thm)],[f418,f94]) ).
fof(f605,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f415]) ).
fof(f606,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ2_spl
| xsd_integer(sK33_skl) ),
inference(resolution,[status(thm)],[f416,f95]) ).
fof(f608,plain,
( sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f607,f417,f414]) ).
fof(f609,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f389]) ).
fof(f610,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f611,plain,
$false,
inference(sat_refutation,[status(thm)],[f465,f466,f472,f490,f492,f497,f499,f505,f509,f511,f520,f525,f552,f558,f560,f585,f597,f599,f601,f603,f606,f608,f610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n013.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.35 % CPULimit : 300
% 0.09/5.35 % WCLimit : 300
% 0.09/5.35 % DateTime : Sun Sep 20 22:54:13 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/5.41 % Elapsed time: 0.048535 seconds
% 0.12/5.41 % CPU time: 0.147267 seconds
% 0.12/5.41 % Total memory used: 23.937 MB
% 0.12/5.41 % Net memory used: 23.780 MB
%------------------------------------------------------------------------------