TSTP Solution File: NUM565+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM565+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:35:10 EDT 2024
% Result : Theorem 0.07s 0.29s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 76 ( 28 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 77 ( 25 ~; 16 |; 25 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,conjecture,
! [W0] :
( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = sz00
& aElementOf0(W0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [W1] : aElementOf0(W1,slcrc0) )
=> sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
~ ! [W0] :
( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = sz00
& aElementOf0(W0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [W1] : aElementOf0(W1,slcrc0) )
=> sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f202,plain,
! [W0] :
( ~ aSet0(W0)
| ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f203,plain,
! [W0] :
( ~ aSet0(W0)
| ( ( sbrdtbr0(W0) != sz00
| W0 = slcrc0 )
& ( sbrdtbr0(W0) = sz00
| W0 != slcrc0 ) ) ),
inference(NNF_transformation,[status(esa)],[f202]) ).
fof(f204,plain,
! [X0] :
( ~ aSet0(X0)
| sbrdtbr0(X0) != sz00
| X0 = slcrc0 ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f381,plain,
? [W0] :
( aSet0(W0)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = sz00
& aElementOf0(W0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [W1] : ~ aElementOf0(W1,slcrc0)
& sdtlpdtrp0(xc,W0) != sdtlpdtrp0(xc,slcrc0) ),
inference(pre_NNF_transformation,[status(esa)],[f81]) ).
fof(f382,plain,
( aSet0(sk0_23)
& ! [W1] :
( ~ aElementOf0(W1,sk0_23)
| aElementOf0(W1,xS) )
& aSubsetOf0(sk0_23,xS)
& sbrdtbr0(sk0_23) = sz00
& aElementOf0(sk0_23,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [W1] : ~ aElementOf0(W1,slcrc0)
& sdtlpdtrp0(xc,sk0_23) != sdtlpdtrp0(xc,slcrc0) ),
inference(skolemization,[status(esa)],[f381]) ).
fof(f383,plain,
aSet0(sk0_23),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f386,plain,
sbrdtbr0(sk0_23) = sz00,
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f390,plain,
sdtlpdtrp0(xc,sk0_23) != sdtlpdtrp0(xc,slcrc0),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f541,plain,
( spl0_10
<=> sk0_23 = slcrc0 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( sk0_23 = slcrc0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f640,plain,
( sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f542,f390]) ).
fof(f641,plain,
( $false
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f640]) ).
fof(f642,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f799,plain,
( spl0_45
<=> sbrdtbr0(sk0_23) = sz00 ),
introduced(split_symbol_definition) ).
fof(f801,plain,
( sbrdtbr0(sk0_23) != sz00
| spl0_45 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( sbrdtbr0(sk0_23) != sz00
| sk0_23 = slcrc0 ),
inference(resolution,[status(thm)],[f204,f383]) ).
fof(f803,plain,
( ~ spl0_45
| spl0_10 ),
inference(split_clause,[status(thm)],[f802,f799,f541]) ).
fof(f823,plain,
( sz00 != sz00
| spl0_45 ),
inference(forward_demodulation,[status(thm)],[f386,f801]) ).
fof(f824,plain,
( $false
| spl0_45 ),
inference(trivial_equality_resolution,[status(esa)],[f823]) ).
fof(f825,plain,
spl0_45,
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f826,plain,
$false,
inference(sat_refutation,[status(thm)],[f642,f803,f825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM565+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n028.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 21:19:44 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.28 % Drodi V3.6.0
% 0.07/0.29 % Refutation found
% 0.07/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.31 % Elapsed time: 0.032391 seconds
% 0.11/0.31 % CPU time: 0.063552 seconds
% 0.11/0.31 % Total memory used: 17.287 MB
% 0.11/0.31 % Net memory used: 17.226 MB
%------------------------------------------------------------------------------