TSTP Solution File: KRS255+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS255+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 110 ( 42 ~; 36 |; 25 &)
% ( 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 99 ( 76 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
=> ? [I2] : model(I2,C) )
<=> status(Ax,C,sap) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
<=> mighta(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
? [I1,Ax,C] :
( model(I1,Ax)
& ~ model(I1,C)
& ? [I2] : model(I2,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
mighta(sap,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(sap,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f42,plain,
! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
| ? [I2] : model(I2,C) )
<=> status(Ax,C,sap) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f43,plain,
! [Ax,C] :
( ( ( ? [I1] : model(I1,Ax)
& ! [I2] : ~ model(I2,C) )
| status(Ax,C,sap) )
& ( ! [I1] : ~ model(I1,Ax)
| ? [I2] : model(I2,C)
| ~ status(Ax,C,sap) ) ),
inference(NNF_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
( ! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
& ! [I2] : ~ model(I2,C) )
| status(Ax,C,sap) )
& ! [Ax,C] :
( ! [I1] : ~ model(I1,Ax)
| ? [I2] : model(I2,C)
| ~ status(Ax,C,sap) ) ),
inference(miniscoping,[status(esa)],[f43]) ).
fof(f45,plain,
( ! [Ax,C] :
( ( model(sk0_2(C,Ax),Ax)
& ! [I2] : ~ model(I2,C) )
| status(Ax,C,sap) )
& ! [Ax,C] :
( ! [I1] : ~ model(I1,Ax)
| model(sk0_3(C,Ax),C)
| ~ status(Ax,C,sap) ) ),
inference(skolemization,[status(esa)],[f44]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| status(X2,X1,sap) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
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(f235,plain,
? [C] :
( ? [I1] :
( ? [Ax] : model(I1,Ax)
& ~ model(I1,C) )
& ? [I2] : model(I2,C) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f236,plain,
( model(sk0_68,sk0_69)
& ~ model(sk0_68,sk0_67)
& model(sk0_70,sk0_67) ),
inference(skolemization,[status(esa)],[f235]) ).
fof(f239,plain,
model(sk0_70,sk0_67),
inference(cnf_transformation,[status(esa)],[f236]) ).
fof(f240,plain,
~ mighta(sap,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f248,plain,
! [X0,X1] :
( ~ status(X0,X1,sap)
| ~ status(X0,X1,thm) ),
inference(resolution,[status(thm)],[f177,f240]) ).
fof(f262,plain,
! [X0] :
( status(X0,X0,thm)
| status(X0,X0,thm) ),
inference(resolution,[status(thm)],[f67,f66]) ).
fof(f263,plain,
! [X0] : status(X0,X0,thm),
inference(duplicate_literals_removal,[status(esa)],[f262]) ).
fof(f275,plain,
! [X0] : ~ status(X0,X0,sap),
inference(resolution,[status(thm)],[f263,f248]) ).
fof(f277,plain,
! [X0,X1] : ~ model(X0,X1),
inference(resolution,[status(thm)],[f275,f47]) ).
fof(f278,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f239,f277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS255+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.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
% 0.13/0.35 % DateTime : Mon Apr 29 23:18:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.40 % Elapsed time: 0.035915 seconds
% 0.21/0.40 % CPU time: 0.112334 seconds
% 0.21/0.40 % Total memory used: 3.803 MB
% 0.21/0.40 % Net memory used: 3.786 MB
%------------------------------------------------------------------------------