TSTP Solution File: KRS192+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS192+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:25:00 EDT 2024
% Result : Theorem 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 162 ( 56 ~; 58 |; 38 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 89 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ? [I4] : ~ model(I4,C) )
<=> status(Ax,C,wth) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
isa(wth,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ isa(wth,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(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(f115,plain,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
& ! [I2] :
( ~ model(I2,Ax)
| model(I2,C) )
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ? [I4] : ~ model(I4,C) )
<=> status(Ax,C,wth) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f116,plain,
! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
| ? [I2] :
( model(I2,Ax)
& ~ model(I2,C) )
| ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
| ! [I4] : model(I4,C)
| status(Ax,C,wth) )
& ( ( ? [I1] : model(I1,Ax)
& ! [I2] :
( ~ model(I2,Ax)
| model(I2,C) )
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ? [I4] : ~ model(I4,C) )
| ~ status(Ax,C,wth) ) ),
inference(NNF_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
( ! [Ax,C] :
( ! [I1] : ~ model(I1,Ax)
| ? [I2] :
( model(I2,Ax)
& ~ model(I2,C) )
| ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
| ! [I4] : model(I4,C)
| status(Ax,C,wth) )
& ! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
& ! [I2] :
( ~ model(I2,Ax)
| model(I2,C) )
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ? [I4] : ~ model(I4,C) )
| ~ status(Ax,C,wth) ) ),
inference(miniscoping,[status(esa)],[f116]) ).
fof(f118,plain,
( ! [Ax,C] :
( ! [I1] : ~ model(I1,Ax)
| ( model(sk0_25(C,Ax),Ax)
& ~ model(sk0_25(C,Ax),C) )
| ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
| ! [I4] : model(I4,C)
| status(Ax,C,wth) )
& ! [Ax,C] :
( ( model(sk0_26(C,Ax),Ax)
& ! [I2] :
( ~ model(I2,Ax)
| model(I2,C) )
& model(sk0_27(C,Ax),C)
& ~ model(sk0_27(C,Ax),Ax)
& ~ model(sk0_28(C,Ax),C) )
| ~ status(Ax,C,wth) ) ),
inference(skolemization,[status(esa)],[f117]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| model(X0,X2)
| ~ status(X1,X2,wth) ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f180,plain,
! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) )
<=> isa(S1,S2) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f181,plain,
! [S1,S2] :
( ( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
| isa(S1,S2) )
& ( ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) )
| ~ isa(S1,S2) ) ),
inference(NNF_transformation,[status(esa)],[f180]) ).
fof(f182,plain,
( ! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
| isa(S1,S2) )
& ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) )
| ~ isa(S1,S2) ) ),
inference(miniscoping,[status(esa)],[f181]) ).
fof(f183,plain,
( ! [S1,S2] :
( ( status(sk0_44(S2,S1),sk0_45(S2,S1),S1)
& ~ status(sk0_44(S2,S1),sk0_45(S2,S1),S2) )
| isa(S1,S2) )
& ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) )
| ~ isa(S1,S2) ) ),
inference(skolemization,[status(esa)],[f182]) ).
fof(f184,plain,
! [X0,X1] :
( status(sk0_44(X0,X1),sk0_45(X0,X1),X1)
| isa(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f183]) ).
fof(f185,plain,
! [X0,X1] :
( ~ status(sk0_44(X0,X1),sk0_45(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f183]) ).
fof(f240,plain,
~ isa(wth,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f248,plain,
! [X0,X1,X2] :
( status(X0,X1,thm)
| model(sk0_9(X1,X0),X2)
| ~ status(X0,X2,wth) ),
inference(resolution,[status(thm)],[f66,f122]) ).
fof(f257,plain,
! [X0,X1] :
( isa(wth,X0)
| status(sk0_44(X0,wth),X1,thm)
| model(sk0_9(X1,sk0_44(X0,wth)),sk0_45(X0,wth)) ),
inference(resolution,[status(thm)],[f184,f248]) ).
fof(f263,plain,
! [X0] :
( isa(wth,X0)
| status(sk0_44(X0,wth),sk0_45(X0,wth),thm)
| status(sk0_44(X0,wth),sk0_45(X0,wth),thm) ),
inference(resolution,[status(thm)],[f257,f67]) ).
fof(f264,plain,
! [X0] :
( isa(wth,X0)
| status(sk0_44(X0,wth),sk0_45(X0,wth),thm) ),
inference(duplicate_literals_removal,[status(esa)],[f263]) ).
fof(f271,plain,
( spl0_2
<=> isa(wth,thm) ),
introduced(split_symbol_definition) ).
fof(f272,plain,
( isa(wth,thm)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( isa(wth,thm)
| isa(wth,thm) ),
inference(resolution,[status(thm)],[f264,f185]) ).
fof(f275,plain,
spl0_2,
inference(split_clause,[status(thm)],[f274,f271]) ).
fof(f278,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f272,f240]) ).
fof(f279,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f278]) ).
fof(f280,plain,
$false,
inference(sat_refutation,[status(thm)],[f275,f279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS192+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:00:43 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.18/0.36 % Refutation found
% 0.18/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.37 % Elapsed time: 0.033411 seconds
% 0.18/0.37 % CPU time: 0.165194 seconds
% 0.18/0.37 % Total memory used: 8.154 MB
% 0.18/0.37 % Net memory used: 8.124 MB
%------------------------------------------------------------------------------