%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS163+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 : n017.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 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 12 unt; 7 def)
% Number of atoms : 167 ( 10 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 186 ( 78 ~; 79 |; 18 &)
% ( 10 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 25 ( 18 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
cA(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
cB(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] :
~ ( cA(X)
& cB(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f34,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f35,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f38,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f39,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
cA(ia),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
cB(ib),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
! [X] :
( ~ cA(X)
| ~ cB(X) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f46,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ( ( 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)],[f49]) ).
fof(f51,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,definition,
( sQ0_spl
<=> cowlThing(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( sQ0_spl
| ~ cowlThing(sK0_skl) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
( sQ1_spl
<=> cowlNothing(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f57,plain,
( ~ sQ1_spl
| cowlNothing(sK1_skl) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,definition,
( sQ2_spl
<=> xsd_string(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( ~ sQ2_spl
| xsd_string(sK2_skl) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,definition,
( sQ3_spl
<=> xsd_integer(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ3_spl
| xsd_integer(sK2_skl) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f64,plain,
( sQ3_spl
| ~ xsd_integer(sK2_skl) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,definition,
( sQ4_spl
<=> cowlThing(ia) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( sQ4_spl
| ~ cowlThing(ia) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,definition,
( sQ5_spl
<=> cowlThing(ib) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( sQ5_spl
| ~ cowlThing(ib) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ6_spl
<=> ia = ib ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ6_spl
| ia = ib ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f53,f56,f59,f62,f65,f68,f71]) ).
fof(f75,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f53,f56,f59,f62,f65,f68,f71]) ).
fof(f77,plain,
( ~ sQ6_spl
| cB(ia) ),
inference(forward_demodulation,[status(thm)],[f72,f43]) ).
fof(f78,plain,
( ~ sQ6_spl
| ~ cA(ia) ),
inference(resolution,[status(thm)],[f46,f77]) ).
fof(f79,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f41]) ).
fof(f80,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f79]) ).
fof(f81,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f35]) ).
fof(f82,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f35]) ).
fof(f84,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f85,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f57,f36]) ).
fof(f86,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f35]) ).
fof(f88,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f90,plain,
( ~ sQ2_spl
| ~ xsd_integer(sK2_skl) ),
inference(resolution,[status(thm)],[f60,f39]) ).
fof(f91,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f63]) ).
fof(f92,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f91]) ).
fof(f93,plain,
( sQ3_spl
| xsd_string(sK2_skl) ),
inference(resolution,[status(thm)],[f64,f40]) ).
fof(f94,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f93,f59,f62]) ).
fof(f95,plain,
$false,
inference(sat_refutation,[status(thm)],[f74,f75,f80,f82,f84,f86,f88,f92,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS163+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n017.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 22:50:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.047563 seconds
% 0.10/0.42 % CPU time: 0.138557 seconds
% 0.10/0.42 % Total memory used: 67.641 MB
% 0.10/0.42 % Net memory used: 67.298 MB
%------------------------------------------------------------------------------