%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS141+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 : n001.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 12:59:47 PM UTC 2026
% Result : Theorem 0.14s 5.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 12 unt; 6 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 167 ( 70 ~; 70 |; 15 &)
% ( 9 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 22 !; 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] :
( cr(X)
=> ! [Y] :
( rp(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
cr(ii),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
rp(ii,io),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
( cowlThing(io)
& cc(io)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ( cowlThing(io)
& cc(io)
& ! [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] :
( ! [Y] :
( cc(Y)
| ~ rp(X,Y) )
| ~ cr(X) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( cc(X1)
| ~ rp(X0,X1)
| ~ cr(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
cr(ii),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
rp(ii,io),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f26,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ( ( 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)],[f25]) ).
fof(f27,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
( ~ cowlThing(io)
| ~ cc(io)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f29,definition,
( sQ0_spl
<=> cowlThing(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( sQ0_spl
| ~ cowlThing(sK0_skl) ),
inference(component_clause,[status(thm)],[f29]) ).
fof(f32,definition,
( sQ1_spl
<=> cowlNothing(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( ~ sQ1_spl
| cowlNothing(sK1_skl) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,definition,
( sQ2_spl
<=> xsd_string(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f36,plain,
( ~ sQ2_spl
| xsd_string(sK2_skl) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,definition,
( sQ3_spl
<=> xsd_integer(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f39,plain,
( ~ sQ3_spl
| xsd_integer(sK2_skl) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f40,plain,
( sQ3_spl
| ~ xsd_integer(sK2_skl) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,definition,
( sQ4_spl
<=> cc(io) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f43,plain,
( sQ4_spl
| ~ cc(io) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,definition,
( sQ5_spl
<=> cowlThing(io) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( sQ5_spl
| ~ cowlThing(io) ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f29,f32,f35,f38,f41,f44]) ).
fof(f48,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f28,f29,f32,f35,f38,f41,f44]) ).
fof(f49,plain,
( sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f46,f11]) ).
fof(f50,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f49]) ).
fof(f52,plain,
! [X0] :
( cc(X0)
| ~ rp(ii,X0) ),
inference(resolution,[status(thm)],[f18,f19]) ).
fof(f53,plain,
cc(io),
inference(resolution,[status(thm)],[f52,f21]) ).
fof(f54,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f43]) ).
fof(f55,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f12]) ).
fof(f57,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f56]) ).
fof(f58,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f31,f11]) ).
fof(f59,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f58]) ).
fof(f60,plain,
( ~ sQ3_spl
| ~ xsd_string(sK2_skl) ),
inference(resolution,[status(thm)],[f39,f15]) ).
fof(f61,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f36]) ).
fof(f62,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f61]) ).
fof(f63,plain,
( sQ3_spl
| xsd_string(sK2_skl) ),
inference(resolution,[status(thm)],[f40,f16]) ).
fof(f64,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f63,f35,f38]) ).
fof(f65,plain,
$false,
inference(sat_refutation,[status(thm)],[f47,f48,f50,f55,f57,f59,f62,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS141+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n001.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 23:00:19 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.43 % Elapsed time: 0.038842 seconds
% 0.14/5.43 % CPU time: 0.114548 seconds
% 0.14/5.43 % Total memory used: 16.724 MB
% 0.14/5.43 % Net memory used: 16.207 MB
%------------------------------------------------------------------------------