TSTP Solution File: NUN089+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:31:19 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 37 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 23 ~; 15 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 (; 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
! [Y1] :
( ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y2) )
| ~ r2(Y2,Y1) )
| ! [Y4] :
( Y4 != Y1
| ~ r1(Y4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [Y1] :
( ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y2) )
| ~ r2(Y2,Y1) )
| ! [Y4] :
( Y4 != Y1
| ~ r1(Y4) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f62,plain,
! [Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ! [X7] : ~ r2(X7,Y10) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ r1(X0)
| X0 != X1
| ~ r2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
? [Y1] :
( ? [Y2] :
( ? [Y3] :
( r1(Y3)
& r2(Y3,Y2) )
& r2(Y2,Y1) )
& ? [Y4] :
( Y4 = Y1
& r1(Y4) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f65,plain,
( r1(sk0_22)
& r2(sk0_22,sk0_21)
& r2(sk0_21,sk0_20)
& sk0_23 = sk0_20
& r1(sk0_23) ),
inference(skolemization,[status(esa)],[f64]) ).
fof(f68,plain,
r2(sk0_21,sk0_20),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f69,plain,
sk0_23 = sk0_20,
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f70,plain,
r1(sk0_23),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f87,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f63]) ).
fof(f92,plain,
r1(sk0_20),
inference(forward_demodulation,[status(thm)],[f69,f70]) ).
fof(f95,plain,
~ r1(sk0_20),
inference(resolution,[status(thm)],[f87,f68]) ).
fof(f96,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f95,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:46:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.023626 seconds
% 0.13/0.37 % CPU time: 0.030044 seconds
% 0.13/0.37 % Memory used: 14.480 MB
%------------------------------------------------------------------------------