%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS164+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 : n009.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 10.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 13 unt; 8 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 218 ( 91 ~; 93 |; 21 &)
% ( 12 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 28 ( 21 !; 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] :
( cCar(X)
<=> cAutomobile(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
cCar(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
( cowlThing(icar)
& cAutomobile(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ( cowlThing(icar)
& cAutomobile(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,plain,
! [X] :
( ( ~ cAutomobile(X)
| cCar(X) )
& ( cAutomobile(X)
| ~ cCar(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
( ! [X] :
( ~ cAutomobile(X)
| cCar(X) )
& ! [X] :
( cAutomobile(X)
| ~ cCar(X) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f21,plain,
cAutomobile(iauto),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
cCar(icar),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f25,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f28,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ( ( xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl) )
& ( ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl) ) )
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl)],[f27]) ).
fof(f29,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f31,definition,
( sQ0_spl
<=> cowlThing(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( sQ0_spl
| ~ cowlThing(sK0_skl) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,definition,
( sQ1_spl
<=> cowlNothing(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f35,plain,
( ~ sQ1_spl
| cowlNothing(sK1_skl) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,definition,
( sQ2_spl
<=> xsd_string(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( ~ sQ2_spl
| xsd_string(sK2_skl) ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f39,plain,
( sQ2_spl
| ~ xsd_string(sK2_skl) ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f40,definition,
( sQ3_spl
<=> xsd_integer(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( ~ sQ3_spl
| xsd_integer(sK2_skl) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,definition,
( sQ4_spl
<=> cCar(iauto) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f45,plain,
( sQ4_spl
| ~ cCar(iauto) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ5_spl
<=> cowlThing(iauto) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( sQ5_spl
| ~ cowlThing(iauto) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
( sQ6_spl
<=> cAutomobile(icar) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( sQ6_spl
| ~ cAutomobile(icar) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,definition,
( sQ7_spl
<=> cowlThing(icar) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( sQ7_spl
| ~ cowlThing(icar) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f29,f31,f34,f37,f40,f43,f46,f49,f52]) ).
fof(f56,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f31,f34,f37,f40,f43,f46,f49,f52]) ).
fof(f57,plain,
( sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f54,f11]) ).
fof(f58,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f57]) ).
fof(f59,plain,
( sQ6_spl
| ~ cCar(icar) ),
inference(resolution,[status(thm)],[f19,f51]) ).
fof(f60,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f23]) ).
fof(f61,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f60]) ).
fof(f62,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f11]) ).
fof(f63,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f62]) ).
fof(f64,plain,
( sQ4_spl
| ~ cAutomobile(iauto) ),
inference(resolution,[status(thm)],[f20,f45]) ).
fof(f65,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f21]) ).
fof(f66,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f12]) ).
fof(f68,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f67]) ).
fof(f69,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f11]) ).
fof(f70,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f69]) ).
fof(f71,plain,
( ~ sQ3_spl
| ~ xsd_string(sK2_skl) ),
inference(resolution,[status(thm)],[f41,f15]) ).
fof(f72,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f38]) ).
fof(f73,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f72]) ).
fof(f74,plain,
( sQ2_spl
| xsd_integer(sK2_skl) ),
inference(resolution,[status(thm)],[f16,f39]) ).
fof(f75,plain,
( sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f74,f40,f37]) ).
fof(f76,plain,
$false,
inference(sat_refutation,[status(thm)],[f55,f56,f58,f61,f63,f66,f68,f70,f73,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS164+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n009.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sun Sep 20 22:55:08 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.09/10.39 % Refutation found
% 0.09/10.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/10.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/10.42 % Elapsed time: 0.038403 seconds
% 0.13/10.42 % CPU time: 0.102143 seconds
% 0.13/10.42 % Total memory used: 13.710 MB
% 0.13/10.42 % Net memory used: 13.303 MB
%------------------------------------------------------------------------------