TSTP Solution File: KRS200+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:25:01 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 110 ( 46 ~; 38 |; 19 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 101 ( 84 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
=> ~ ? [I2] : model(I2,C) )
<=> status(Ax,C,unp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
<=> nota(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
? [F] :
! [I] : ~ model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
nota(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ nota(unp,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C) )
<=> status(Ax,C,unp) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
! [Ax,C] :
( ( ( ! [I1] : ~ model(I1,Ax)
& ? [I2] : model(I2,C) )
| status(Ax,C,unp) )
& ( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C)
| ~ status(Ax,C,unp) ) ),
inference(NNF_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
( ! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& ? [I2] : model(I2,C) )
| status(Ax,C,unp) )
& ! [Ax,C] :
( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C)
| ~ status(Ax,C,unp) ) ),
inference(miniscoping,[status(esa)],[f36]) ).
fof(f38,plain,
( ! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& model(sk0_0(C,Ax),C) )
| status(Ax,C,unp) )
& ! [Ax,C] :
( model(sk0_1(C,Ax),Ax)
| ! [I2] : ~ model(I2,C)
| ~ status(Ax,C,unp) ) ),
inference(skolemization,[status(esa)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| status(X1,X2,unp) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f62,plain,
! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
<=> status(Ax,C,thm) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f63,plain,
! [Ax,C] :
( ( ? [I1] :
( model(I1,Ax)
& ~ model(I1,C) )
| status(Ax,C,thm) )
& ( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
| ~ status(Ax,C,thm) ) ),
inference(NNF_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
( ! [Ax,C] :
( ? [I1] :
( model(I1,Ax)
& ~ model(I1,C) )
| status(Ax,C,thm) )
& ! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
| ~ status(Ax,C,thm) ) ),
inference(miniscoping,[status(esa)],[f63]) ).
fof(f65,plain,
( ! [Ax,C] :
( ( model(sk0_9(C,Ax),Ax)
& ~ model(sk0_9(C,Ax),C) )
| status(Ax,C,thm) )
& ! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
| ~ status(Ax,C,thm) ) ),
inference(skolemization,[status(esa)],[f64]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| model(X0,X2)
| ~ status(X1,X2,thm) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f187,plain,
! [S1,S2] :
( ( ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) )
| nota(S1,S2) )
& ( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
| ~ nota(S1,S2) ) ),
inference(NNF_transformation,[status(esa)],[f22]) ).
fof(f188,plain,
( ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) )
| nota(S1,S2) )
& ! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
| ~ nota(S1,S2) ) ),
inference(miniscoping,[status(esa)],[f187]) ).
fof(f189,plain,
( ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) )
| nota(S1,S2) )
& ! [S1,S2] :
( ( status(sk0_46(S2,S1),sk0_47(S2,S1),S1)
& ~ status(sk0_46(S2,S1),sk0_47(S2,S1),S2) )
| ~ nota(S1,S2) ) ),
inference(skolemization,[status(esa)],[f188]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( ~ status(X0,X1,X2)
| status(X0,X1,X3)
| nota(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f189]) ).
fof(f215,plain,
! [I] : model(I,sk0_52),
inference(skolemization,[status(esa)],[f27]) ).
fof(f216,plain,
! [X0] : model(X0,sk0_52),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f220,plain,
! [I] : ~ model(I,sk0_56),
inference(skolemization,[status(esa)],[f29]) ).
fof(f221,plain,
! [X0] : ~ model(X0,sk0_56),
inference(cnf_transformation,[status(esa)],[f220]) ).
fof(f240,plain,
~ nota(unp,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f248,plain,
! [X0,X1] :
( ~ status(X0,X1,unp)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f190,f240]) ).
fof(f249,plain,
! [X0,X1,X2] :
( ~ status(X0,X1,unp)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[status(thm)],[f248,f68]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| model(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f39]) ).
fof(f251,plain,
! [X0,X1] : ~ model(X0,X1),
inference(resolution,[status(thm)],[f221,f250]) ).
fof(f252,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f216,f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n009.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:20:26 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.38 % Elapsed time: 0.018002 seconds
% 0.11/0.38 % CPU time: 0.043397 seconds
% 0.11/0.38 % Total memory used: 3.228 MB
% 0.11/0.38 % Net memory used: 3.219 MB
%------------------------------------------------------------------------------