%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS152+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 0.08s 0.37s
% Output : CNFRefutation 0.08s
% 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 : 247 ( 101 ~; 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/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)
<=> ( cC4(X)
& cC2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cTEST(X)
<=> ( ~ cC8(X)
& cC12(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,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)],[f17]) ).
fof(f19,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
! [X] :
( ( ~ cC4(X)
| ~ cC2(X)
| cC10(X) )
& ( ( cC4(X)
& cC2(X) )
| ~ cC10(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
( ! [X] :
( ~ cC4(X)
| ~ cC2(X)
| cC10(X) )
& ! [X] :
( ( cC4(X)
& cC2(X) )
| ~ cC10(X) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f30,plain,
! [X0] :
( ~ cC4(X0)
| ~ cC2(X0)
| cC10(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f48,plain,
! [X] :
( ( cC8(X)
| ~ cC12(X)
| cTEST(X) )
& ( ( ~ cC8(X)
& cC12(X) )
| ~ cTEST(X) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f49,plain,
( ! [X] :
( cC8(X)
| ~ cC12(X)
| cTEST(X) )
& ! [X] :
( ( ~ cC8(X)
& cC12(X) )
| ~ cTEST(X) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0] :
( cC12(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f53,plain,
cTEST(iV21080),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f61,plain,
cC2(iV21081),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f62,plain,
cC4(iV21081),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f63,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)],[f18]) ).
fof(f64,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)],[f63]) ).
fof(f65,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)],[f64]) ).
fof(f66,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ( xsd_integer(sK4_skl)
| ~ xsd_string(sK4_skl) )
& ( ~ xsd_integer(sK4_skl)
| xsd_string(sK4_skl) ) )
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(X,sK4_skl)],[f65]) ).
fof(f67,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sK4_skl)
| xsd_string(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sK4_skl)
| ~ xsd_string(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,definition,
( sQ0_spl
<=> cowlThing(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( sQ0_spl
| ~ cowlThing(sK2_skl) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,definition,
( sQ1_spl
<=> cowlNothing(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( ~ sQ1_spl
| cowlNothing(sK3_skl) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,definition,
( sQ2_spl
<=> xsd_string(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ2_spl
| xsd_string(sK4_skl) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,definition,
( sQ3_spl
<=> xsd_integer(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ3_spl
| xsd_integer(sK4_skl) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( sQ3_spl
| ~ xsd_integer(sK4_skl) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ4_spl
<=> cowlThing(iV21080) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( sQ4_spl
| ~ cowlThing(iV21080) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ5_spl
<=> cC12(iV21080) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( sQ5_spl
| ~ cC12(iV21080) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
( sQ6_spl
<=> cC10(iV21081) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f90,definition,
( sQ7_spl
<=> cowlThing(iV21081) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( sQ7_spl
| ~ cowlThing(iV21081) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f69,f72,f75,f78,f81,f84,f87,f90]) ).
fof(f94,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f69,f72,f75,f78,f81,f84,f87,f90]) ).
fof(f95,plain,
( sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f92,f20]) ).
fof(f96,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f95]) ).
fof(f98,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[f50,f53]) ).
fof(f99,plain,
( ~ cC2(iV21081)
| cC10(iV21081) ),
inference(resolution,[status(thm)],[f30,f62]) ).
fof(f101,definition,
( sQ8_spl
<=> cC2(iV21081) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( sQ8_spl
| ~ cC2(iV21081) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( ~ sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f99,f87,f101]) ).
fof(f105,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f98]) ).
fof(f106,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f20]) ).
fof(f108,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f107]) ).
fof(f109,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f21]) ).
fof(f110,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f20]) ).
fof(f112,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( ~ sQ3_spl
| ~ xsd_string(sK4_skl) ),
inference(resolution,[status(thm)],[f79,f24]) ).
fof(f114,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f76]) ).
fof(f115,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ3_spl
| xsd_string(sK4_skl) ),
inference(resolution,[status(thm)],[f80,f25]) ).
fof(f117,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f116,f75,f78]) ).
fof(f118,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f103,f61]) ).
fof(f119,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f118]) ).
fof(f120,plain,
$false,
inference(sat_refutation,[status(thm)],[f93,f94,f96,f104,f106,f108,f110,f112,f115,f117,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS152+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:54:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.40 % Elapsed time: 0.032602 seconds
% 0.08/0.40 % CPU time: 0.046180 seconds
% 0.08/0.40 % Total memory used: 3.258 MB
% 0.08/0.40 % Net memory used: 3.219 MB
%------------------------------------------------------------------------------