%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS160+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 : n011.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 12:59:50 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 72 ( 16 unt; 9 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 246 ( 100 ~; 102 |; 29 &)
% ( 14 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 10 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 25 !; 7 ?)
% 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)
<=> ( cC2(X)
& cC4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] :
( cTEST(X)
<=> ( cC12(X)
& cC8xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
cC4(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
cC2(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f25,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f26,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f28,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f29,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f32,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC4(X)
| cC10(X) )
& ( ( cC2(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
( ! [X] :
( ~ cC2(X)
| ~ cC4(X)
| cC10(X) )
& ! [X] :
( ( cC2(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0] :
( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f87,plain,
! [X] :
( ( ~ cC12(X)
| ~ cC8xcomp(X)
| cTEST(X) )
& ( ( cC12(X)
& cC8xcomp(X) )
| ~ cTEST(X) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f88,plain,
( ! [X] :
( ~ cC12(X)
| ~ cC8xcomp(X)
| cTEST(X) )
& ! [X] :
( ( cC12(X)
& cC8xcomp(X) )
| ~ cTEST(X) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f90,plain,
! [X0] :
( cC12(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f92,plain,
cTEST(iV21080),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f98,plain,
cC4(iV21081),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f100,plain,
cC2(iV21081),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f102,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f103,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f105,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ( xsd_integer(sK10_skl)
| ~ xsd_string(sK10_skl) )
& ( ~ xsd_integer(sK10_skl)
| xsd_string(sK10_skl) ) )
| cowlNothing(sK9_skl)
| ~ cowlThing(sK8_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl]),skolemize(X,sK8_skl),skolemize(X,sK9_skl),skolemize(X,sK10_skl)],[f104]) ).
fof(f106,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sK10_skl)
| xsd_string(sK10_skl)
| cowlNothing(sK9_skl)
| ~ cowlThing(sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sK10_skl)
| ~ xsd_string(sK10_skl)
| cowlNothing(sK9_skl)
| ~ cowlThing(sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ0_spl
<=> cowlThing(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( sQ0_spl
| ~ cowlThing(sK8_skl) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ1_spl
<=> cowlNothing(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ1_spl
| cowlNothing(sK9_skl) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ2_spl
<=> xsd_string(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ2_spl
| xsd_string(sK10_skl) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ3_spl
<=> xsd_integer(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ3_spl
| xsd_integer(sK10_skl) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ3_spl
| ~ xsd_integer(sK10_skl) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ4_spl
<=> cowlThing(iV21080) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( sQ4_spl
| ~ cowlThing(iV21080) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ5_spl
<=> cC12(iV21080) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( sQ5_spl
| ~ cC12(iV21080) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,definition,
( sQ6_spl
<=> cC10(iV21081) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f129,definition,
( sQ7_spl
<=> cowlThing(iV21081) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( sQ7_spl
| ~ cowlThing(iV21081) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f106,f108,f111,f114,f117,f120,f123,f126,f129]) ).
fof(f133,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f107,f108,f111,f114,f117,f120,f123,f126,f129]) ).
fof(f134,plain,
( sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f131,f26]) ).
fof(f135,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f134]) ).
fof(f138,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[f90,f92]) ).
fof(f139,plain,
( ~ cC4(iV21081)
| cC10(iV21081) ),
inference(resolution,[status(thm)],[f36,f100]) ).
fof(f141,definition,
( sQ8_spl
<=> cC4(iV21081) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( sQ8_spl
| ~ cC4(iV21081) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( ~ sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f139,f126,f141]) ).
fof(f145,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f138]) ).
fof(f146,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f26]) ).
fof(f148,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f27]) ).
fof(f150,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f26]) ).
fof(f152,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( ~ sQ3_spl
| ~ xsd_string(sK10_skl) ),
inference(resolution,[status(thm)],[f118,f30]) ).
fof(f154,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f153,f115]) ).
fof(f155,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ3_spl
| xsd_string(sK10_skl) ),
inference(resolution,[status(thm)],[f119,f31]) ).
fof(f157,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f156,f114,f117]) ).
fof(f158,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f98]) ).
fof(f159,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f160,plain,
$false,
inference(sat_refutation,[status(thm)],[f132,f133,f135,f144,f146,f148,f150,f152,f155,f157,f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 22:55:11 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.047318 seconds
% 0.09/0.42 % CPU time: 0.123164 seconds
% 0.09/0.42 % Total memory used: 17.742 MB
% 0.09/0.42 % Net memory used: 17.591 MB
%------------------------------------------------------------------------------