TSTP Solution File: KRS256+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS256+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:25:06 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 123 ( 48 ~; 47 |; 22 &)
% ( 5 <=>; 1 =>; 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 : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 104 ( 85 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
<=> ? [I2] : model(I2,C) )
<=> status(Ax,C,esa) ),
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(f20,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
<=> mighta(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(f33,conjecture,
mighta(esa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(esa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f49,plain,
! [Ax,C] :
( ( ( ( ! [I1] : ~ model(I1,Ax)
| ! [I2] : ~ model(I2,C) )
& ( ? [I1] : model(I1,Ax)
| ? [I2] : model(I2,C) ) )
| status(Ax,C,esa) )
& ( ( ( ! [I1] : ~ model(I1,Ax)
| ? [I2] : model(I2,C) )
& ( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C) ) )
| ~ status(Ax,C,esa) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f50,plain,
( ! [Ax,C] :
( ( ( ! [I1] : ~ model(I1,Ax)
| ! [I2] : ~ model(I2,C) )
& ( ? [I1] : model(I1,Ax)
| ? [I2] : model(I2,C) ) )
| status(Ax,C,esa) )
& ! [Ax,C] :
( ( ( ! [I1] : ~ model(I1,Ax)
| ? [I2] : model(I2,C) )
& ( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C) ) )
| ~ status(Ax,C,esa) ) ),
inference(miniscoping,[status(esa)],[f49]) ).
fof(f51,plain,
( ! [Ax,C] :
( ( ( ! [I1] : ~ model(I1,Ax)
| ! [I2] : ~ model(I2,C) )
& ( model(sk0_4(C,Ax),Ax)
| model(sk0_5(C,Ax),C) ) )
| status(Ax,C,esa) )
& ! [Ax,C] :
( ( ( ! [I1] : ~ model(I1,Ax)
| model(sk0_6(C,Ax),C) )
& ( model(sk0_7(C,Ax),Ax)
| ! [I2] : ~ model(I2,C) ) )
| ~ status(Ax,C,esa) ) ),
inference(skolemization,[status(esa)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ~ model(X0,X1)
| ~ model(X2,X3)
| status(X1,X3,esa) ),
inference(cnf_transformation,[status(esa)],[f51]) ).
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(f66,plain,
! [X0,X1] :
( model(sk0_9(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ model(sk0_9(X0,X1),X0)
| status(X1,X0,thm) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f174,plain,
! [S1,S2] :
( ( ! [Ax,C] :
( ~ status(Ax,C,S1)
| ~ status(Ax,C,S2) )
| mighta(S1,S2) )
& ( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
| ~ mighta(S1,S2) ) ),
inference(NNF_transformation,[status(esa)],[f20]) ).
fof(f175,plain,
( ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| ~ status(Ax,C,S2) )
| mighta(S1,S2) )
& ! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
| ~ mighta(S1,S2) ) ),
inference(miniscoping,[status(esa)],[f174]) ).
fof(f176,plain,
( ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| ~ status(Ax,C,S2) )
| mighta(S1,S2) )
& ! [S1,S2] :
( ( status(sk0_42(S2,S1),sk0_43(S2,S1),S1)
& status(sk0_42(S2,S1),sk0_43(S2,S1),S2) )
| ~ mighta(S1,S2) ) ),
inference(skolemization,[status(esa)],[f175]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ~ status(X0,X1,X2)
| ~ status(X0,X1,X3)
| mighta(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
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(f240,plain,
~ mighta(esa,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f248,plain,
! [X0,X1] :
( ~ status(X0,X1,esa)
| ~ status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f177,f240]) ).
fof(f249,plain,
! [X0,X1] :
( ~ model(X0,X1)
| status(X1,sk0_52,esa) ),
inference(resolution,[status(thm)],[f216,f52]) ).
fof(f352,plain,
! [X0,X1] :
( model(sk0_9(X0,X1),X1)
| ~ status(X1,X0,esa) ),
inference(resolution,[status(thm)],[f66,f248]) ).
fof(f354,plain,
! [X0] :
( ~ status(X0,X0,esa)
| status(X0,X0,thm) ),
inference(resolution,[status(thm)],[f352,f67]) ).
fof(f355,plain,
! [X0] : ~ status(X0,X0,esa),
inference(forward_subsumption_resolution,[status(thm)],[f354,f248]) ).
fof(f399,plain,
! [X0] : ~ model(X0,sk0_52),
inference(resolution,[status(thm)],[f355,f249]) ).
fof(f400,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f399,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS256+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Mon Apr 29 23:24:47 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38 % Elapsed time: 0.026832 seconds
% 0.20/0.38 % CPU time: 0.091113 seconds
% 0.20/0.38 % Total memory used: 4.587 MB
% 0.20/0.38 % Net memory used: 4.547 MB
%------------------------------------------------------------------------------