%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS148+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 : n004.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 0.15s 5.62s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 78 ( 15 unt; 9 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 276 ( 113 ~; 113 |; 34 &)
% ( 15 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 10 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 37 ( 30 !; 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(f12,axiom,
! [X] :
( cC116(X)
<=> ( ~ cC114(X)
& cTOP(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( cC140(X)
<=> ( cC138(X)
& cTOP(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [X] :
( cTEST(X)
<=> ( cC116(X)
& cC140(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
cTOP(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
~ cC114(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,conjecture,
( cC140(iV5475)
& cC116(iV5475)
& cowlThing(iV5475)
& cC138(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
~ ( cC140(iV5475)
& cC116(iV5475)
& cowlThing(iV5475)
& cC138(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f90]) ).
fof(f92,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f93,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f95,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f96,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f148,plain,
! [X] :
( ( cC114(X)
| ~ cTOP(X)
| cC116(X) )
& ( ( ~ cC114(X)
& cTOP(X) )
| ~ cC116(X) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f149,plain,
( ! [X] :
( cC114(X)
| ~ cTOP(X)
| cC116(X) )
& ! [X] :
( ( ~ cC114(X)
& cTOP(X) )
| ~ cC116(X) ) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f152,plain,
! [X0] :
( cC114(X0)
| ~ cTOP(X0)
| cC116(X0) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f227,plain,
! [X] :
( ( ~ cC138(X)
| ~ cTOP(X)
| cC140(X) )
& ( ( cC138(X)
& cTOP(X) )
| ~ cC140(X) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f228,plain,
( ! [X] :
( ~ cC138(X)
| ~ cTOP(X)
| cC140(X) )
& ! [X] :
( ( cC138(X)
& cTOP(X) )
| ~ cC140(X) ) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f230,plain,
! [X0] :
( cC138(X0)
| ~ cC140(X0) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f482,plain,
! [X] :
( ( ~ cC116(X)
| ~ cC140(X)
| cTEST(X) )
& ( ( cC116(X)
& cC140(X) )
| ~ cTEST(X) ) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f483,plain,
( ! [X] :
( ~ cC116(X)
| ~ cC140(X)
| cTEST(X) )
& ! [X] :
( ( cC116(X)
& cC140(X) )
| ~ cTEST(X) ) ),
inference(miniscoping,[status(thm)],[f482]) ).
fof(f484,plain,
! [X0] :
( cC140(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f487,plain,
cTEST(iV5475),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f488,plain,
cTOP(iV5475),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f492,plain,
~ cC114(iV5475),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f508,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f91]) ).
fof(f509,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f508]) ).
fof(f510,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f509]) ).
fof(f511,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ( ( xsd_integer(sK40_skl)
| ~ xsd_string(sK40_skl) )
& ( ~ xsd_integer(sK40_skl)
| xsd_string(sK40_skl) ) )
| cowlNothing(sK39_skl)
| ~ cowlThing(sK38_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl,sK40_skl]),skolemize(X,sK38_skl),skolemize(X,sK39_skl),skolemize(X,sK40_skl)],[f510]) ).
fof(f512,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ xsd_integer(sK40_skl)
| xsd_string(sK40_skl)
| cowlNothing(sK39_skl)
| ~ cowlThing(sK38_skl) ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f513,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| xsd_integer(sK40_skl)
| ~ xsd_string(sK40_skl)
| cowlNothing(sK39_skl)
| ~ cowlThing(sK38_skl) ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ0_spl
<=> cowlThing(sK38_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( sQ0_spl
| ~ cowlThing(sK38_skl) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ1_spl
<=> cowlNothing(sK39_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ1_spl
| cowlNothing(sK39_skl) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ2_spl
<=> xsd_string(sK40_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ2_spl
| xsd_string(sK40_skl) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ3_spl
<=> xsd_integer(sK40_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ3_spl
| xsd_integer(sK40_skl) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( sQ3_spl
| ~ xsd_integer(sK40_skl) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ4_spl
<=> cC138(iV5475) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ4_spl
| ~ cC138(iV5475) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ5_spl
<=> cowlThing(iV5475) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( sQ5_spl
| ~ cowlThing(iV5475) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ6_spl
<=> cC116(iV5475) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f535,definition,
( sQ7_spl
<=> cC140(iV5475) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ7_spl
| cC140(iV5475) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f537,plain,
( sQ7_spl
| ~ cC140(iV5475) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f512,f514,f517,f520,f523,f526,f529,f532,f535]) ).
fof(f539,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f513,f514,f517,f520,f523,f526,f529,f532,f535]) ).
fof(f550,plain,
( cC114(iV5475)
| cC116(iV5475) ),
inference(resolution,[status(thm)],[f152,f488]) ).
fof(f552,definition,
( sQ8_spl
<=> cC114(iV5475) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ8_spl
| cC114(iV5475) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f550,f532,f552]) ).
fof(f557,plain,
cC140(iV5475),
inference(resolution,[status(thm)],[f484,f487]) ).
fof(f558,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f557,f537]) ).
fof(f559,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f93]) ).
fof(f561,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ7_spl
| cC138(iV5475) ),
inference(resolution,[status(thm)],[f536,f230]) ).
fof(f564,plain,
( ~ sQ7_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f528]) ).
fof(f565,plain,
( ~ sQ7_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f94]) ).
fof(f567,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f93]) ).
fof(f569,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( ~ sQ3_spl
| ~ xsd_string(sK40_skl) ),
inference(resolution,[status(thm)],[f524,f97]) ).
fof(f571,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f521]) ).
fof(f572,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ3_spl
| xsd_string(sK40_skl) ),
inference(resolution,[status(thm)],[f525,f98]) ).
fof(f574,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f573,f520,f523]) ).
fof(f575,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f492]) ).
fof(f576,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f577,plain,
$false,
inference(sat_refutation,[status(thm)],[f538,f539,f555,f559,f561,f565,f567,f569,f572,f574,f576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.58 % Computer : n004.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Sun Sep 20 22:54:43 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.15/5.60 % Drodi V4.1.1
% 0.15/5.62 % Refutation found
% 0.15/5.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.65 % Elapsed time: 0.051026 seconds
% 0.15/5.65 % CPU time: 0.139750 seconds
% 0.15/5.65 % Total memory used: 24.793 MB
% 0.15/5.65 % Net memory used: 24.666 MB
%------------------------------------------------------------------------------