TSTP Solution File: KRS095+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:24:45 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 82 ( 22 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 106 ( 41 ~; 37 |; 25 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 36 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
& ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_20_14253),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
& ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f50,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
& ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 ) ) )
& ( cUnsatisfiable(X)
| ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
| ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 ) ) ),
inference(NNF_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
& ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
| ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 ) ) ),
inference(miniscoping,[status(esa)],[f50]) ).
fof(f52,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rr(X,sk0_0(X))
& rr(X,sk0_1(X))
& sk0_0(X) != sk0_1(X)
& ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y0,Y1] :
( ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
| ( rr(X,sk0_2(X))
& rr(X,sk0_3(X))
& sk0_2(X) != sk0_3(X) ) ) ),
inference(skolemization,[status(esa)],[f51]) ).
fof(f53,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f55,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sk0_0(X0) != sk0_1(X0) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f62,plain,
cUnsatisfiable(i2003_11_14_17_20_14253),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f66,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| X1 = sk0_1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f56,f54]) ).
fof(f67,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| X1 = sk0_1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f66]) ).
fof(f74,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sk0_0(X0) = sk0_1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f67,f53]) ).
fof(f75,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sk0_0(X0) = sk0_1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f74]) ).
fof(f76,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[status(thm)],[f75,f55]) ).
fof(f77,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f62,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:42:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.012973 seconds
% 0.14/0.37 % CPU time: 0.022808 seconds
% 0.14/0.37 % Total memory used: 451.072 KB
% 0.14/0.37 % Net memory used: 441.536 KB
%------------------------------------------------------------------------------