TSTP Solution File: LCL666+1.001 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL666+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 : Wed May 31 12:20:01 EDT 2023
% Result : Theorem 0.22s 0.58s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 28 ~; 16 |; 8 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 (; 7 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( p201(Y)
& p101(Y) ) )
| ~ ( p201(X)
& p101(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( p201(Y)
& p101(Y) ) )
| ~ ( p201(X)
& p101(X) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
? [X] :
( ! [Y] :
( ~ r1(X,Y)
| ~ p201(Y)
| ~ p101(Y) )
& p201(X)
& p101(X) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f6,plain,
( ! [Y] :
( ~ r1(sk0_0,Y)
| ~ p201(Y)
| ~ p101(Y) )
& p201(sk0_0)
& p101(sk0_0) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0] :
( ~ r1(sk0_0,X0)
| ~ p201(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
p201(sk0_0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
p101(sk0_0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f10,plain,
( spl0_0
<=> p201(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f12,plain,
( ~ p201(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( spl0_1
<=> p101(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( ~ p101(sk0_0)
| spl0_1 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( ~ p201(sk0_0)
| ~ p101(sk0_0) ),
inference(resolution,[status(thm)],[f4,f7]) ).
fof(f17,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f16,f10,f13]) ).
fof(f18,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f12,f8]) ).
fof(f19,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f18]) ).
fof(f20,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f15,f9]) ).
fof(f21,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f20]) ).
fof(f22,plain,
$false,
inference(sat_refutation,[status(thm)],[f17,f19,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL666+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:45:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.22/0.58 % Refutation found
% 0.22/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.58 % Elapsed time: 0.017647 seconds
% 0.22/0.58 % CPU time: 0.015294 seconds
% 0.22/0.58 % Memory used: 1.763 MB
%------------------------------------------------------------------------------