TSTP Solution File: NUM605+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM605+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 : Wed May 31 12:29:54 EDT 2023
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 9 unt; 1 def)
% Number of atoms : 71 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 19 |; 20 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 24 (; 19 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,definition,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,hypothesis,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,conjecture,
~ ( ~ ? [W0] : aElementOf0(W0,xQ)
& xQ = slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
~ ~ ( ~ ? [W0] : aElementOf0(W0,xQ)
& xQ = slcrc0 ),
inference(negated_conjecture,[status(cth)],[f100]) ).
fof(f112,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f113,plain,
! [W0] :
( ( W0 != slcrc0
| ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) )
& ( W0 = slcrc0
| ~ aSet0(W0)
| ? [W1] : aElementOf0(W1,W0) ) ),
inference(NNF_transformation,[status(esa)],[f112]) ).
fof(f114,plain,
( ! [W0] :
( W0 != slcrc0
| ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) )
& ! [W0] :
( W0 = slcrc0
| ~ aSet0(W0)
| ? [W1] : aElementOf0(W1,W0) ) ),
inference(miniscoping,[status(esa)],[f113]) ).
fof(f115,plain,
( ! [W0] :
( W0 != slcrc0
| ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) )
& ! [W0] :
( W0 = slcrc0
| ~ aSet0(W0)
| aElementOf0(sk0_0(W0),W0) ) ),
inference(skolemization,[status(esa)],[f114]) ).
fof(f116,plain,
! [X0] :
( X0 != slcrc0
| aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f222,plain,
! [W0] :
( ~ aSet0(W0)
| ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f223,plain,
! [W0] :
( ~ aSet0(W0)
| ( ( sbrdtbr0(W0) != sz00
| W0 = slcrc0 )
& ( sbrdtbr0(W0) = sz00
| W0 != slcrc0 ) ) ),
inference(NNF_transformation,[status(esa)],[f222]) ).
fof(f225,plain,
! [X0] :
( ~ aSet0(X0)
| sbrdtbr0(X0) = sz00
| X0 != slcrc0 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f394,plain,
xK != sz00,
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f589,plain,
( aSet0(xQ)
& ! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(pre_NNF_transformation,[status(esa)],[f99]) ).
fof(f593,plain,
sbrdtbr0(xQ) = xK,
inference(cnf_transformation,[status(esa)],[f589]) ).
fof(f595,plain,
( ! [W0] : ~ aElementOf0(W0,xQ)
& xQ = slcrc0 ),
inference(pre_NNF_transformation,[status(esa)],[f101]) ).
fof(f597,plain,
xQ = slcrc0,
inference(cnf_transformation,[status(esa)],[f595]) ).
fof(f700,plain,
aSet0(slcrc0),
inference(destructive_equality_resolution,[status(esa)],[f116]) ).
fof(f712,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(destructive_equality_resolution,[status(esa)],[f225]) ).
fof(f765,plain,
sbrdtbr0(slcrc0) = xK,
inference(forward_demodulation,[status(thm)],[f597,f593]) ).
fof(f1092,plain,
( ~ aSet0(slcrc0)
| xK = sz00 ),
inference(forward_demodulation,[status(thm)],[f765,f712]) ).
fof(f1093,plain,
xK = sz00,
inference(forward_subsumption_resolution,[status(thm)],[f1092,f700]) ).
fof(f1100,plain,
sz00 != sz00,
inference(backward_demodulation,[status(thm)],[f1093,f394]) ).
fof(f1101,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM605+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:36:47 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.047616 seconds
% 0.12/0.39 % CPU time: 0.086648 seconds
% 0.12/0.39 % Memory used: 18.646 MB
%------------------------------------------------------------------------------