TSTP Solution File: KRS217+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:25:03 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 164 ( 64 ~; 62 |; 32 &)
% ( 4 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 118 ( 100 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [Ax,C] :
( ( ? [I1] :
( model(I1,Ax)
& model(I1,C) )
& ? [I2] :
( model(I2,Ax)
& model(I2,not(C)) ) )
<=> status(Ax,C,noc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
<=> nota(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [I,F] :
( model(I,F)
<~> model(I,not(F)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
? [F] :
( ? [I1] : model(I1,F)
& ? [I2] : ~ model(I2,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
nota(noc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ nota(noc,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
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(f166,plain,
! [Ax,C] :
( ( ! [I1] :
( ~ model(I1,Ax)
| ~ model(I1,C) )
| ! [I2] :
( ~ model(I2,Ax)
| ~ model(I2,not(C)) )
| status(Ax,C,noc) )
& ( ( ? [I1] :
( model(I1,Ax)
& model(I1,C) )
& ? [I2] :
( model(I2,Ax)
& model(I2,not(C)) ) )
| ~ status(Ax,C,noc) ) ),
inference(NNF_transformation,[status(esa)],[f19]) ).
fof(f167,plain,
( ! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| ~ model(I1,C) )
| ! [I2] :
( ~ model(I2,Ax)
| ~ model(I2,not(C)) )
| status(Ax,C,noc) )
& ! [Ax,C] :
( ( ? [I1] :
( model(I1,Ax)
& model(I1,C) )
& ? [I2] :
( model(I2,Ax)
& model(I2,not(C)) ) )
| ~ status(Ax,C,noc) ) ),
inference(miniscoping,[status(esa)],[f166]) ).
fof(f168,plain,
( ! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| ~ model(I1,C) )
| ! [I2] :
( ~ model(I2,Ax)
| ~ model(I2,not(C)) )
| status(Ax,C,noc) )
& ! [Ax,C] :
( ( model(sk0_40(C,Ax),Ax)
& model(sk0_40(C,Ax),C)
& model(sk0_41(C,Ax),Ax)
& model(sk0_41(C,Ax),not(C)) )
| ~ status(Ax,C,noc) ) ),
inference(skolemization,[status(esa)],[f167]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ model(X0,X1)
| ~ model(X0,X2)
| ~ model(X3,X1)
| ~ model(X3,not(X2))
| status(X1,X2,noc) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
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(f207,plain,
! [I,F] :
( ( model(I,F)
| model(I,not(F)) )
& ( ~ model(I,F)
| ~ model(I,not(F)) ) ),
inference(NNF_transformation,[status(esa)],[f25]) ).
fof(f208,plain,
( ! [I,F] :
( model(I,F)
| model(I,not(F)) )
& ! [I,F] :
( ~ model(I,F)
| ~ model(I,not(F)) ) ),
inference(miniscoping,[status(esa)],[f207]) ).
fof(f209,plain,
! [X0,X1] :
( model(X0,X1)
| model(X0,not(X1)) ),
inference(cnf_transformation,[status(esa)],[f208]) ).
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(f217,plain,
( model(sk0_54,sk0_53)
& ~ model(sk0_55,sk0_53) ),
inference(skolemization,[status(esa)],[f28]) ).
fof(f218,plain,
model(sk0_54,sk0_53),
inference(cnf_transformation,[status(esa)],[f217]) ).
fof(f219,plain,
~ model(sk0_55,sk0_53),
inference(cnf_transformation,[status(esa)],[f217]) ).
fof(f240,plain,
~ nota(noc,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f248,plain,
! [X0,X1] :
( ~ status(X0,X1,noc)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f190,f240]) ).
fof(f337,plain,
! [X0,X1,X2,X3] :
( model(X0,X1)
| ~ model(X2,X3)
| ~ model(X2,X1)
| ~ model(X0,X3)
| status(X3,X1,noc) ),
inference(resolution,[status(thm)],[f209,f169]) ).
fof(f338,plain,
! [X0,X1,X2,X3] :
( model(X0,X1)
| ~ model(X2,X3)
| ~ model(X2,X1)
| ~ model(X0,X3)
| status(X3,X1,thm) ),
inference(resolution,[status(thm)],[f337,f248]) ).
fof(f339,plain,
! [X0,X1,X2,X3] :
( model(X0,X1)
| ~ model(X2,X3)
| ~ model(X2,X1)
| ~ model(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f338,f68]) ).
fof(f357,plain,
! [X0,X1,X2] :
( model(X0,X1)
| ~ model(X2,X1)
| ~ model(X0,sk0_52) ),
inference(resolution,[status(thm)],[f339,f216]) ).
fof(f358,plain,
! [X0,X1,X2] :
( model(X0,X1)
| ~ model(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f216]) ).
fof(f435,plain,
! [X0] : model(X0,sk0_53),
inference(resolution,[status(thm)],[f358,f218]) ).
fof(f444,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f219,f435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n018.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Apr 29 23:37:43 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36 % Elapsed time: 0.082999 seconds
% 0.11/0.36 % CPU time: 0.575343 seconds
% 0.11/0.36 % Total memory used: 17.992 MB
% 0.11/0.36 % Net memory used: 17.552 MB
%------------------------------------------------------------------------------