%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS150+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 : n004.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 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 37
% Syntax : Number of formulae : 154 ( 34 unt; 20 def)
% Number of atoms : 480 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 549 ( 223 ~; 227 |; 68 &)
% ( 30 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 21 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 82 ( 69 !; 13 ?)
% 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] :
( cC10(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cC12(X)
<=> ( ~ cC10(X)
& ~ cC2(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cC12(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( cC16(X)
<=> ( cC8(X)
& cC14(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cC18(X)
<=> ( cC16(X)
& cTOP(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( cC6(X)
<=> ( ~ cC4(X)
& ~ cC2(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( cTEST(X)
<=> ( cTOP(X)
& cC18(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
cTOP(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
rR1(iV16560,iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ cC4(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ cC2(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ cC10(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ cC2(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f27,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f28,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f31,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC10(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC10(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC10(X) )
& ! [X] :
( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC10(X) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f36,plain,
( ! [X] :
( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC10(X) )
& ! [X] :
( ( ~ cC2(sK0_skl(X))
& rR1(X,sK0_skl(X)) )
| ~ cC10(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f35]) ).
fof(f39,plain,
! [X0,X1] :
( cC2(X1)
| ~ rR1(X0,X1)
| cC10(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f40,plain,
! [X] :
( ( cC10(X)
| cC2(X)
| cC12(X) )
& ( ( ~ cC10(X)
& ~ cC2(X) )
| ~ cC12(X) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
( ! [X] :
( cC10(X)
| cC2(X)
| cC12(X) )
& ! [X] :
( ( ~ cC10(X)
& ~ cC2(X) )
| ~ cC12(X) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0] :
( ~ cC2(X0)
| ~ cC12(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f44,plain,
! [X0] :
( cC10(X0)
| cC2(X0)
| cC12(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [X] :
( ( ! [Y] :
( ~ cC12(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ( ? [Y] :
( cC12(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
( ! [X] :
( ! [Y] :
( ~ cC12(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ! [X] :
( ? [Y] :
( cC12(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
( ! [X] :
( ! [Y] :
( ~ cC12(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ! [X] :
( ( cC12(sK1_skl(X))
& rR1(X,sK1_skl(X)) )
| ~ cC14(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f46]) ).
fof(f49,plain,
! [X0] :
( cC12(sK1_skl(X0))
| ~ cC14(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f50,plain,
! [X0,X1] :
( ~ cC12(X1)
| ~ rR1(X0,X1)
| cC14(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f51,plain,
! [X] :
( ( ~ cC8(X)
| ~ cC14(X)
| cC16(X) )
& ( ( cC8(X)
& cC14(X) )
| ~ cC16(X) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f52,plain,
( ! [X] :
( ~ cC8(X)
| ~ cC14(X)
| cC16(X) )
& ! [X] :
( ( cC8(X)
& cC14(X) )
| ~ cC16(X) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0] :
( cC14(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0] :
( cC8(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f55,plain,
! [X0] :
( ~ cC8(X0)
| ~ cC14(X0)
| cC16(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
! [X] :
( ( ~ cC16(X)
| ~ cTOP(X)
| cC18(X) )
& ( ( cC16(X)
& cTOP(X) )
| ~ cC18(X) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f57,plain,
( ! [X] :
( ~ cC16(X)
| ~ cTOP(X)
| cC18(X) )
& ! [X] :
( ( cC16(X)
& cTOP(X) )
| ~ cC18(X) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f59,plain,
! [X0] :
( cC16(X0)
| ~ cC18(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f60,plain,
! [X0] :
( ~ cC16(X0)
| ~ cTOP(X0)
| cC18(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f67,plain,
! [X] :
( ( cC4(X)
| cC2(X)
| cC6(X) )
& ( ( ~ cC4(X)
& ~ cC2(X) )
| ~ cC6(X) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
( ! [X] :
( cC4(X)
| cC2(X)
| cC6(X) )
& ! [X] :
( ( ~ cC4(X)
& ~ cC2(X) )
| ~ cC6(X) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f71,plain,
! [X0] :
( cC4(X0)
| cC2(X0)
| cC6(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f78,plain,
! [X] :
( ( ~ cTOP(X)
| ~ cC18(X)
| cTEST(X) )
& ( ( cTOP(X)
& cC18(X) )
| ~ cTEST(X) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f79,plain,
( ! [X] :
( ~ cTOP(X)
| ~ cC18(X)
| cTEST(X) )
& ! [X] :
( ( cTOP(X)
& cC18(X) )
| ~ cTEST(X) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0] :
( cC18(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f83,plain,
cTOP(iV16560),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f84,plain,
cTEST(iV16560),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f86,plain,
rR1(iV16560,iV16562),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f88,plain,
~ cC4(iV16561),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f92,plain,
~ cC2(iV16561),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f93,plain,
~ cC10(iV16562),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f94,plain,
~ cC2(iV16562),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f98,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f99,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f101,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ( ( xsd_integer(sK6_skl)
| ~ xsd_string(sK6_skl) )
& ( ~ xsd_integer(sK6_skl)
| xsd_string(sK6_skl) ) )
| cowlNothing(sK5_skl)
| ~ cowlThing(sK4_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(X,sK4_skl),skolemize(X,sK5_skl),skolemize(X,sK6_skl)],[f100]) ).
fof(f102,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ xsd_integer(sK6_skl)
| xsd_string(sK6_skl)
| cowlNothing(sK5_skl)
| ~ cowlThing(sK4_skl) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(sK6_skl)
| ~ xsd_string(sK6_skl)
| cowlNothing(sK5_skl)
| ~ cowlThing(sK4_skl) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ0_spl
<=> cowlThing(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( sQ0_spl
| ~ cowlThing(sK4_skl) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
( sQ1_spl
<=> cowlNothing(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ1_spl
| cowlNothing(sK5_skl) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,definition,
( sQ2_spl
<=> xsd_string(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ2_spl
| xsd_string(sK6_skl) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ3_spl
<=> xsd_integer(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ3_spl
| xsd_integer(sK6_skl) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ3_spl
| ~ xsd_integer(sK6_skl) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ4_spl
<=> cC18(iV16560) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f119,definition,
( sQ5_spl
<=> cC16(iV16560) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f122,definition,
( sQ6_spl
<=> cowlThing(iV16560) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( sQ6_spl
| ~ cowlThing(iV16560) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ7_spl
<=> cC14(iV16560) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f128,definition,
( sQ8_spl
<=> cC8(iV16560) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( sQ8_spl
| ~ cC8(iV16560) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,definition,
( sQ9_spl
<=> cowlThing(iV16561) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ9_spl
| ~ cowlThing(iV16561) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ10_spl
<=> cC6(iV16561) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( sQ10_spl
| ~ cC6(iV16561) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ11_spl
<=> cowlThing(iV16562) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( sQ11_spl
| ~ cowlThing(iV16562) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ12_spl
<=> cC12(iV16562) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ12_spl
| ~ cC12(iV16562) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,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)],[f102,f104,f107,f110,f113,f116,f119,f122,f125,f128,f131,f134,f137,f140]) ).
fof(f144,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)],[f103,f104,f107,f110,f113,f116,f119,f122,f125,f128,f131,f134,f137,f140]) ).
fof(f146,plain,
( cC2(iV16562)
| cC10(iV16560) ),
inference(resolution,[status(thm)],[f86,f39]) ).
fof(f147,definition,
( sQ13_spl
<=> cC10(iV16560) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f150,definition,
( sQ14_spl
<=> cC2(iV16562) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ14_spl
| cC2(iV16562) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f146,f147,f150]) ).
fof(f156,definition,
( sQ15_spl
<=> cC2(iV16561) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ15_spl
| cC2(iV16561) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f165,plain,
( sQ12_spl
| cC10(iV16562)
| cC2(iV16562) ),
inference(resolution,[status(thm)],[f44,f142]) ).
fof(f167,plain,
! [X0,X1] :
( ~ rR1(X1,X0)
| cC14(X1)
| cC10(X0)
| cC2(X0) ),
inference(resolution,[status(thm)],[f44,f50]) ).
fof(f169,definition,
( sQ17_spl
<=> cC10(iV16562) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ17_spl
| cC10(iV16562) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ12_spl
| sQ17_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f165,f150,f169,f140]) ).
fof(f173,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f94]) ).
fof(f174,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f139,f28]) ).
fof(f176,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f93]) ).
fof(f178,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f177]) ).
fof(f182,plain,
cC18(iV16560),
inference(resolution,[status(thm)],[f80,f84]) ).
fof(f183,plain,
cC16(iV16560),
inference(resolution,[status(thm)],[f182,f59]) ).
fof(f184,plain,
cC14(iV16560),
inference(resolution,[status(thm)],[f183,f53]) ).
fof(f185,plain,
( ~ cC8(iV16560)
| cC16(iV16560) ),
inference(resolution,[status(thm)],[f184,f55]) ).
fof(f186,plain,
( ~ sQ8_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f185,f119,f128]) ).
fof(f187,plain,
( sQ8_spl
| ~ cC16(iV16560) ),
inference(resolution,[status(thm)],[f130,f54]) ).
fof(f188,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f183]) ).
fof(f189,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f188]) ).
fof(f192,plain,
cC12(sK1_skl(iV16560)),
inference(resolution,[status(thm)],[f49,f184]) ).
fof(f193,plain,
( ~ cTOP(iV16560)
| cC18(iV16560) ),
inference(resolution,[status(thm)],[f60,f183]) ).
fof(f194,definition,
( sQ18_spl
<=> cTOP(iV16560) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( sQ18_spl
| ~ cTOP(iV16560) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( ~ sQ18_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f193,f116,f194]) ).
fof(f201,plain,
~ cC2(sK1_skl(iV16560)),
inference(resolution,[status(thm)],[f192,f42]) ).
fof(f204,plain,
( cC14(iV16560)
| cC10(iV16562)
| cC2(iV16562) ),
inference(resolution,[status(thm)],[f167,f86]) ).
fof(f213,plain,
( sQ7_spl
| sQ17_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f204,f150,f169,f125]) ).
fof(f214,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f92]) ).
fof(f215,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f218,definition,
( sQ21_spl
<=> cC2(sK1_skl(iV16560)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ21_spl
| cC2(sK1_skl(iV16560)) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f226,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f219,f201]) ).
fof(f227,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f226]) ).
fof(f235,plain,
( sQ10_spl
| cC4(iV16561)
| cC2(iV16561) ),
inference(resolution,[status(thm)],[f71,f136]) ).
fof(f239,definition,
( sQ23_spl
<=> cC4(iV16561) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ23_spl
| cC4(iV16561) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ10_spl
| sQ23_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f235,f156,f239,f134]) ).
fof(f243,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f133,f28]) ).
fof(f244,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f88]) ).
fof(f246,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f28]) ).
fof(f248,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f29]) ).
fof(f250,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f28]) ).
fof(f252,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f256,plain,
( ~ sQ3_spl
| ~ xsd_string(sK6_skl) ),
inference(resolution,[status(thm)],[f114,f32]) ).
fof(f257,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f111]) ).
fof(f258,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ3_spl
| xsd_string(sK6_skl) ),
inference(resolution,[status(thm)],[f115,f33]) ).
fof(f260,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f259,f110,f113]) ).
fof(f261,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f196,f83]) ).
fof(f262,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f263,plain,
$false,
inference(sat_refutation,[status(thm)],[f143,f144,f153,f172,f174,f176,f178,f186,f189,f197,f213,f215,f227,f242,f244,f246,f248,f250,f252,f258,f260,f262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:54:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.40 % Elapsed time: 0.045840 seconds
% 0.15/0.40 % CPU time: 0.115644 seconds
% 0.15/0.40 % Total memory used: 16.370 MB
% 0.15/0.40 % Net memory used: 16.283 MB
%------------------------------------------------------------------------------