%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS146+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 : n026.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 42
% Syntax : Number of formulae : 157 ( 31 unt; 21 def)
% Number of atoms : 506 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 592 ( 243 ~; 241 |; 74 &)
% ( 33 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 44 ( 43 usr; 22 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 67 ( 60 !; 7 ?)
% 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(f5,axiom,
! [X] :
( cC104(X)
<=> ( cC4(X)
& cC34(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( cC112(X)
<=> ( cC4(X)
& ~ cC110(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( cC114(X)
<=> ( ~ cC112(X)
& ~ cC96(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( cC116(X)
<=> ( cC80(X)
& cC114(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cC136(X)
<=> ( ~ cC134(X)
& cC116(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X] :
( cC56(X)
<=> ( ~ cC10(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] :
( cC58(X)
<=> ( cC56(X)
& cC34(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC76(X)
& ~ cC78(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [X] :
( cC96(X)
<=> ( cC2(X)
& ~ cC94(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
~ cC134(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
cC34(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,axiom,
cC4(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,axiom,
~ cC96(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,axiom,
~ cC10(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,axiom,
~ cC76(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,axiom,
~ cC112(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,axiom,
~ cC78(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,axiom,
cC2(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,conjecture,
( cC80(iV822576)
& cC136(iV822576)
& cC114(iV822576)
& cC110(iV822576)
& cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ ( cC80(iV822576)
& cC136(iV822576)
& cC114(iV822576)
& cC110(iV822576)
& cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f94,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f95,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f97,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f98,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f112,plain,
! [X] :
( ( ~ cC4(X)
| ~ cC34(X)
| cC104(X) )
& ( ( cC4(X)
& cC34(X) )
| ~ cC104(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f113,plain,
( ! [X] :
( ~ cC4(X)
| ~ cC34(X)
| cC104(X) )
& ! [X] :
( ( cC4(X)
& cC34(X) )
| ~ cC104(X) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f116,plain,
! [X0] :
( ~ cC4(X0)
| ~ cC34(X0)
| cC104(X0) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f133,plain,
! [X] :
( ( ~ cC4(X)
| cC110(X)
| cC112(X) )
& ( ( cC4(X)
& ~ cC110(X) )
| ~ cC112(X) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f134,plain,
( ! [X] :
( ~ cC4(X)
| cC110(X)
| cC112(X) )
& ! [X] :
( ( cC4(X)
& ~ cC110(X) )
| ~ cC112(X) ) ),
inference(miniscoping,[status(thm)],[f133]) ).
fof(f137,plain,
! [X0] :
( ~ cC4(X0)
| cC110(X0)
| cC112(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
! [X] :
( ( cC112(X)
| cC96(X)
| cC114(X) )
& ( ( ~ cC112(X)
& ~ cC96(X) )
| ~ cC114(X) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f139,plain,
( ! [X] :
( cC112(X)
| cC96(X)
| cC114(X) )
& ! [X] :
( ( ~ cC112(X)
& ~ cC96(X) )
| ~ cC114(X) ) ),
inference(miniscoping,[status(thm)],[f138]) ).
fof(f142,plain,
! [X0] :
( cC112(X0)
| cC96(X0)
| cC114(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f143,plain,
! [X] :
( ( ~ cC80(X)
| ~ cC114(X)
| cC116(X) )
& ( ( cC80(X)
& cC114(X) )
| ~ cC116(X) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f144,plain,
( ! [X] :
( ~ cC80(X)
| ~ cC114(X)
| cC116(X) )
& ! [X] :
( ( cC80(X)
& cC114(X) )
| ~ cC116(X) ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f147,plain,
! [X0] :
( ~ cC80(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f200,plain,
! [X] :
( ( cC134(X)
| ~ cC116(X)
| cC136(X) )
& ( ( ~ cC134(X)
& cC116(X) )
| ~ cC136(X) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f201,plain,
( ! [X] :
( cC134(X)
| ~ cC116(X)
| cC136(X) )
& ! [X] :
( ( ~ cC134(X)
& cC116(X) )
| ~ cC136(X) ) ),
inference(miniscoping,[status(thm)],[f200]) ).
fof(f204,plain,
! [X0] :
( cC134(X0)
| ~ cC116(X0)
| cC136(X0) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f315,plain,
! [X] :
( ( cC10(X)
| ~ cC4(X)
| cC56(X) )
& ( ( ~ cC10(X)
& cC4(X) )
| ~ cC56(X) ) ),
inference(NNF_transformation,[status(thm)],[f44]) ).
fof(f316,plain,
( ! [X] :
( cC10(X)
| ~ cC4(X)
| cC56(X) )
& ! [X] :
( ( ~ cC10(X)
& cC4(X) )
| ~ cC56(X) ) ),
inference(miniscoping,[status(thm)],[f315]) ).
fof(f319,plain,
! [X0] :
( cC10(X0)
| ~ cC4(X0)
| cC56(X0) ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f320,plain,
! [X] :
( ( ~ cC56(X)
| ~ cC34(X)
| cC58(X) )
& ( ( cC56(X)
& cC34(X) )
| ~ cC58(X) ) ),
inference(NNF_transformation,[status(thm)],[f45]) ).
fof(f321,plain,
( ! [X] :
( ~ cC56(X)
| ~ cC34(X)
| cC58(X) )
& ! [X] :
( ( cC56(X)
& cC34(X) )
| ~ cC58(X) ) ),
inference(miniscoping,[status(thm)],[f320]) ).
fof(f324,plain,
! [X0] :
( ~ cC56(X0)
| ~ cC34(X0)
| cC58(X0) ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f387,plain,
! [X] :
( ( cC76(X)
| cC78(X)
| cC80(X) )
& ( ( ~ cC76(X)
& ~ cC78(X) )
| ~ cC80(X) ) ),
inference(NNF_transformation,[status(thm)],[f58]) ).
fof(f388,plain,
( ! [X] :
( cC76(X)
| cC78(X)
| cC80(X) )
& ! [X] :
( ( ~ cC76(X)
& ~ cC78(X) )
| ~ cC80(X) ) ),
inference(miniscoping,[status(thm)],[f387]) ).
fof(f391,plain,
! [X0] :
( cC76(X0)
| cC78(X0)
| cC80(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f429,plain,
! [X] :
( ( ~ cC2(X)
| cC94(X)
| cC96(X) )
& ( ( cC2(X)
& ~ cC94(X) )
| ~ cC96(X) ) ),
inference(NNF_transformation,[status(thm)],[f66]) ).
fof(f430,plain,
( ! [X] :
( ~ cC2(X)
| cC94(X)
| cC96(X) )
& ! [X] :
( ( cC2(X)
& ~ cC94(X) )
| ~ cC96(X) ) ),
inference(miniscoping,[status(thm)],[f429]) ).
fof(f433,plain,
! [X0] :
( ~ cC2(X0)
| cC94(X0)
| cC96(X0) ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f447,plain,
~ cC134(iV822576),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f451,plain,
cC34(iV822576),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f452,plain,
cC4(iV822576),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f453,plain,
~ cC96(iV822576),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f462,plain,
~ cC10(iV822576),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f464,plain,
~ cC76(iV822576),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f465,plain,
~ cC112(iV822576),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f466,plain,
~ cC78(iV822576),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f467,plain,
cC2(iV822576),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f470,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f93]) ).
fof(f471,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f470]) ).
fof(f472,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f471]) ).
fof(f473,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ( ( xsd_integer(sK15_skl)
| ~ xsd_string(sK15_skl) )
& ( ~ xsd_integer(sK15_skl)
| xsd_string(sK15_skl) ) )
| cowlNothing(sK14_skl)
| ~ cowlThing(sK13_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(X,sK13_skl),skolemize(X,sK14_skl),skolemize(X,sK15_skl)],[f472]) ).
fof(f474,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ xsd_integer(sK15_skl)
| xsd_string(sK15_skl)
| cowlNothing(sK14_skl)
| ~ cowlThing(sK13_skl) ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f475,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| xsd_integer(sK15_skl)
| ~ xsd_string(sK15_skl)
| cowlNothing(sK14_skl)
| ~ cowlThing(sK13_skl) ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ0_spl
<=> cowlThing(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ0_spl
| ~ cowlThing(sK13_skl) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ1_spl
<=> cowlNothing(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ1_spl
| cowlNothing(sK14_skl) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ2_spl
<=> xsd_string(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ2_spl
| xsd_string(sK15_skl) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ2_spl
| ~ xsd_string(sK15_skl) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ3_spl
<=> xsd_integer(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ3_spl
| xsd_integer(sK15_skl) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ4_spl
<=> cC94(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( sQ4_spl
| ~ cC94(iV822576) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ5_spl
<=> cowlThing(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ5_spl
| ~ cowlThing(iV822576) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ6_spl
<=> cC58(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f497,definition,
( sQ7_spl
<=> cC116(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ7_spl
| cC116(iV822576) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ8_spl
<=> cC56(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ8_spl
| cC56(iV822576) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ9_spl
<=> cC110(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( sQ9_spl
| ~ cC110(iV822576) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ10_spl
<=> cC114(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( sQ10_spl
| ~ cC114(iV822576) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ11_spl
<=> cC136(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f512,definition,
( sQ12_spl
<=> cC80(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ12_spl
| cC80(iV822576) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ 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)],[f474,f476,f479,f482,f485,f488,f491,f494,f497,f500,f503,f506,f509,f512]) ).
fof(f516,plain,
( ~ 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)],[f475,f476,f479,f482,f485,f488,f491,f494,f497,f500,f503,f506,f509,f512]) ).
fof(f517,plain,
( ~ cC4(iV822576)
| cC104(iV822576) ),
inference(resolution,[status(thm)],[f116,f451]) ).
fof(f518,definition,
( sQ13_spl
<=> cC104(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f521,definition,
( sQ14_spl
<=> cC4(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ14_spl
| ~ cC4(iV822576) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f517,f518,f521]) ).
fof(f525,plain,
( ~ cC4(iV822576)
| cC56(iV822576) ),
inference(resolution,[status(thm)],[f319,f462]) ).
fof(f526,plain,
( ~ sQ14_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f525,f500,f521]) ).
fof(f527,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f452]) ).
fof(f528,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( cC76(iV822576)
| cC80(iV822576) ),
inference(resolution,[status(thm)],[f391,f466]) ).
fof(f530,definition,
( sQ15_spl
<=> cC76(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ15_spl
| cC76(iV822576) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( sQ15_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f529,f512,f530]) ).
fof(f534,plain,
( ~ sQ8_spl
| ~ cC34(iV822576)
| cC58(iV822576) ),
inference(resolution,[status(thm)],[f501,f324]) ).
fof(f537,definition,
( sQ16_spl
<=> cC34(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( sQ16_spl
| ~ cC34(iV822576) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f534,f494,f537,f500]) ).
fof(f541,plain,
( ~ sQ12_spl
| ~ cC114(iV822576)
| cC116(iV822576) ),
inference(resolution,[status(thm)],[f513,f147]) ).
fof(f542,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f541,f497,f506,f512]) ).
fof(f545,plain,
( sQ10_spl
| cC112(iV822576)
| cC96(iV822576) ),
inference(resolution,[status(thm)],[f508,f142]) ).
fof(f546,definition,
( sQ17_spl
<=> cC96(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ17_spl
| cC96(iV822576) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ18_spl
<=> cC112(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ18_spl
| cC112(iV822576) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( sQ10_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f545,f546,f549,f506]) ).
fof(f553,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f453]) ).
fof(f554,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f464]) ).
fof(f556,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f465]) ).
fof(f558,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f561,plain,
( ~ sQ7_spl
| cC134(iV822576)
| cC136(iV822576) ),
inference(resolution,[status(thm)],[f498,f204]) ).
fof(f564,definition,
( sQ19_spl
<=> cC134(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ19_spl
| cC134(iV822576) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( ~ sQ7_spl
| sQ19_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f561,f509,f564,f497]) ).
fof(f568,plain,
( sQ9_spl
| ~ cC4(iV822576)
| cC112(iV822576) ),
inference(resolution,[status(thm)],[f505,f137]) ).
fof(f570,plain,
( sQ9_spl
| ~ sQ14_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f568,f549,f521,f503]) ).
fof(f578,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f95]) ).
fof(f579,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( sQ4_spl
| ~ cC2(iV822576)
| cC96(iV822576) ),
inference(resolution,[status(thm)],[f490,f433]) ).
fof(f583,definition,
( sQ22_spl
<=> cC2(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( sQ22_spl
| ~ cC2(iV822576) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( sQ4_spl
| ~ sQ22_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f581,f546,f583,f488]) ).
fof(f594,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f480,f96]) ).
fof(f595,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f95]) ).
fof(f597,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f467]) ).
fof(f599,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( ~ sQ3_spl
| ~ xsd_string(sK15_skl) ),
inference(resolution,[status(thm)],[f486,f99]) ).
fof(f601,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f483]) ).
fof(f602,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ2_spl
| xsd_integer(sK15_skl) ),
inference(resolution,[status(thm)],[f484,f100]) ).
fof(f604,plain,
( sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f603,f485,f482]) ).
fof(f605,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f451]) ).
fof(f606,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f565,f447]) ).
fof(f608,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
$false,
inference(sat_refutation,[status(thm)],[f515,f516,f524,f526,f528,f533,f540,f542,f552,f554,f556,f558,f567,f570,f579,f586,f595,f597,f599,f602,f604,f606,f608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.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 22:57:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.049712 seconds
% 0.14/0.42 % CPU time: 0.166273 seconds
% 0.14/0.42 % Total memory used: 24.744 MB
% 0.14/0.42 % Net memory used: 24.583 MB
%------------------------------------------------------------------------------