TSTP Solution File: KRS148+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:24:53 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 14 unt; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 241 ( 98 ~; 100 |; 29 &)
% ( 13 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 33 ( 26 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(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(f26,axiom,
! [X] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [X] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(negated_conjecture,[status(cth)],[f90]) ).
fof(f92,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f93,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f94,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f95,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f96,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f95]) ).
fof(f97,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f96]) ).
fof(f98,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f96]) ).
fof(f227,plain,
! [X] :
( ( ~ cC140(X)
| ( cTOP(X)
& cC138(X) ) )
& ( cC140(X)
| ~ cTOP(X)
| ~ cC138(X) ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f228,plain,
( ! [X] :
( ~ cC140(X)
| ( cTOP(X)
& cC138(X) ) )
& ! [X] :
( cC140(X)
| ~ cTOP(X)
| ~ cC138(X) ) ),
inference(miniscoping,[status(esa)],[f227]) ).
fof(f230,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[status(esa)],[f228]) ).
fof(f482,plain,
! [X] :
( ( ~ cTEST(X)
| ( cC140(X)
& cC116(X) ) )
& ( cTEST(X)
| ~ cC140(X)
| ~ cC116(X) ) ),
inference(NNF_transformation,[status(esa)],[f72]) ).
fof(f483,plain,
( ! [X] :
( ~ cTEST(X)
| ( cC140(X)
& cC116(X) ) )
& ! [X] :
( cTEST(X)
| ~ cC140(X)
| ~ cC116(X) ) ),
inference(miniscoping,[status(esa)],[f482]) ).
fof(f484,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[status(esa)],[f483]) ).
fof(f485,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[status(esa)],[f483]) ).
fof(f487,plain,
cTEST(iV5475),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f508,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(pre_NNF_transformation,[status(esa)],[f91]) ).
fof(f509,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(NNF_transformation,[status(esa)],[f508]) ).
fof(f510,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(miniscoping,[status(esa)],[f509]) ).
fof(f511,plain,
( ~ cowlThing(sk0_38)
| cowlNothing(sk0_39)
| ( ( xsd_string(sk0_40)
| ~ xsd_integer(sk0_40) )
& ( ~ xsd_string(sk0_40)
| xsd_integer(sk0_40) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(skolemization,[status(esa)],[f510]) ).
fof(f512,plain,
( ~ cowlThing(sk0_38)
| cowlNothing(sk0_39)
| xsd_string(sk0_40)
| ~ xsd_integer(sk0_40)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(cnf_transformation,[status(esa)],[f511]) ).
fof(f513,plain,
( ~ cowlThing(sk0_38)
| cowlNothing(sk0_39)
| ~ xsd_string(sk0_40)
| xsd_integer(sk0_40)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(cnf_transformation,[status(esa)],[f511]) ).
fof(f514,plain,
( spl0_0
<=> cowlThing(sk0_38) ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( ~ cowlThing(sk0_38)
| spl0_0 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( spl0_1
<=> cowlNothing(sk0_39) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( cowlNothing(sk0_39)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( spl0_2
<=> xsd_string(sk0_40) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( xsd_string(sk0_40)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( ~ xsd_string(sk0_40)
| spl0_2 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( spl0_3
<=> xsd_integer(sk0_40) ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( xsd_integer(sk0_40)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( spl0_4
<=> cC138(iV5475) ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( ~ cC138(iV5475)
| spl0_4 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_5
<=> cowlThing(iV5475) ),
introduced(split_symbol_definition) ).
fof(f531,plain,
( ~ cowlThing(iV5475)
| spl0_5 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( spl0_6
<=> cC116(iV5475) ),
introduced(split_symbol_definition) ).
fof(f534,plain,
( ~ cC116(iV5475)
| spl0_6 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_7
<=> cC140(iV5475) ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( ~ cC140(iV5475)
| spl0_7 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f512,f514,f517,f520,f523,f526,f529,f532,f535]) ).
fof(f539,plain,
( ~ spl0_0
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f513,f514,f517,f520,f523,f526,f529,f532,f535]) ).
fof(f544,plain,
cC140(iV5475),
inference(resolution,[status(thm)],[f484,f487]) ).
fof(f545,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f537]) ).
fof(f546,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f548,plain,
cC138(iV5475),
inference(resolution,[status(thm)],[f544,f230]) ).
fof(f549,plain,
cC116(iV5475),
inference(resolution,[status(thm)],[f485,f487]) ).
fof(f553,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f549]) ).
fof(f554,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f93]) ).
fof(f556,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f548]) ).
fof(f558,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f559,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f93]) ).
fof(f560,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f561,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f94]) ).
fof(f562,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( ~ xsd_string(sk0_40)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f524,f97]) ).
fof(f564,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f521]) ).
fof(f565,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( xsd_integer(sk0_40)
| spl0_2 ),
inference(resolution,[status(thm)],[f522,f98]) ).
fof(f567,plain,
( spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f566,f523,f520]) ).
fof(f568,plain,
$false,
inference(sat_refutation,[status(thm)],[f538,f539,f546,f554,f556,f558,f560,f562,f565,f567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Mon Apr 29 23:29:20 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.34 % Elapsed time: 0.020613 seconds
% 0.16/0.34 % CPU time: 0.052660 seconds
% 0.16/0.34 % Total memory used: 4.223 MB
% 0.16/0.34 % Net memory used: 4.215 MB
%------------------------------------------------------------------------------