TSTP Solution File: KRS134+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS134+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:24:51 EDT 2024
% Result : Theorem 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 7 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 150 ( 59 ~; 55 |; 19 &)
% ( 8 <=>; 6 =>; 0 <=; 3 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 48 ( 35 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(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,Y] :
( rprop(X,Y)
=> cA(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cowlThing(X)
=> ! [Y] :
( rprop(X,Y)
=> cA(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cowlThing(X)
=> ! [Y] :
( rprop(X,Y)
=> cA(Y) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f13,plain,
! [X,Y] :
( ~ rprop(X,Y)
| cA(Y) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [Y] :
( ! [X] : ~ rprop(X,Y)
| cA(Y) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ~ rprop(X0,X1)
| cA(X1) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f16,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlThing(X)
& ? [Y] :
( rprop(X,Y)
& ~ cA(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X] :
( pd0_0(X)
=> ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
introduced(predicate_definition,[f16]) ).
fof(f18,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] : pd0_0(X)
| ? [X] :
( cowlThing(X)
& ? [Y] :
( rprop(X,Y)
& ~ cA(Y) ) ) ),
inference(formula_renaming,[status(thm)],[f16,f17]) ).
fof(f19,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] : pd0_0(X)
| ? [X] :
( cowlThing(X)
& ? [Y] :
( rprop(X,Y)
& ~ cA(Y) ) ) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f20,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| ( cowlThing(sk0_3)
& rprop(sk0_3,sk0_4)
& ~ cA(sk0_4) ) ),
inference(skolemization,[status(esa)],[f19]) ).
fof(f22,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| rprop(sk0_3,sk0_4) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f23,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| ~ cA(sk0_4) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f24,plain,
! [X] :
( ~ pd0_0(X)
| ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f25,plain,
! [X] :
( ~ pd0_0(X)
| ( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) ) ),
inference(NNF_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
! [X0] :
( ~ pd0_0(X0)
| xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
! [X0] :
( ~ pd0_0(X0)
| ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f28,plain,
( spl0_0
<=> cowlThing(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f30,plain,
( ~ cowlThing(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,plain,
( spl0_1
<=> cowlNothing(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f32,plain,
( cowlNothing(sk0_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( spl0_2
<=> pd0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f35,plain,
( pd0_0(sk0_2)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f41,plain,
( spl0_4
<=> rprop(sk0_3,sk0_4) ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( rprop(sk0_3,sk0_4)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| spl0_4 ),
inference(split_clause,[status(thm)],[f22,f28,f31,f34,f41]) ).
fof(f45,plain,
( spl0_5
<=> cA(sk0_4) ),
introduced(split_symbol_definition) ).
fof(f47,plain,
( ~ cA(sk0_4)
| spl0_5 ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f23,f28,f31,f34,f45]) ).
fof(f49,plain,
! [X0] :
( ~ pd0_0(X0)
| ~ xsd_integer(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f26,f11]) ).
fof(f50,plain,
! [X0] :
( ~ pd0_0(X0)
| xsd_integer(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f27,f12]) ).
fof(f51,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f7]) ).
fof(f52,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0] : ~ pd0_0(X0),
inference(backward_subsumption_resolution,[status(thm)],[f49,f50]) ).
fof(f54,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f53]) ).
fof(f55,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f8]) ).
fof(f57,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f56]) ).
fof(f58,plain,
( cA(sk0_4)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f42,f15]) ).
fof(f59,plain,
( $false
| spl0_5
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f47]) ).
fof(f60,plain,
( spl0_5
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f59]) ).
fof(f61,plain,
$false,
inference(sat_refutation,[status(thm)],[f44,f48,f52,f55,f57,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : KRS134+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 23:44:34 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.32 % Elapsed time: 0.012371 seconds
% 0.15/0.32 % CPU time: 0.023192 seconds
% 0.15/0.32 % Total memory used: 1.947 MB
% 0.15/0.32 % Net memory used: 1.857 MB
%------------------------------------------------------------------------------