TSTP Solution File: NUM605+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM605+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:29:53 EDT 2023
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 21 unt; 1 def)
% Number of atoms : 132 ( 42 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 144 ( 56 ~; 55 |; 24 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 36 (; 34 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(W0)) = W0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,conjecture,
xQ != slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
~ ( xQ != slcrc0 ),
inference(negated_conjecture,[status(cth)],[f100]) ).
fof(f180,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f267,plain,
slbdtrb0(sz00) = slcrc0,
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f281,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sbrdtbr0(slbdtrb0(W0)) = W0 ),
inference(pre_NNF_transformation,[status(esa)],[f56]) ).
fof(f282,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f281]) ).
fof(f283,plain,
! [W0,W1] :
( ~ aSet0(W0)
| ~ aElementOf0(W1,szNzAzT0)
| ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f57]) ).
fof(f284,plain,
! [W0,W1] :
( ~ aSet0(W0)
| ~ aElementOf0(W1,szNzAzT0)
| ! [W2] :
( ( W2 != slbdtsldtrb0(W0,W1)
| ( aSet0(W2)
& ! [W3] :
( ( ~ aElementOf0(W3,W2)
| ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) )
& ( aElementOf0(W3,W2)
| ~ aSubsetOf0(W3,W0)
| sbrdtbr0(W3) != W1 ) ) ) )
& ( W2 = slbdtsldtrb0(W0,W1)
| ~ aSet0(W2)
| ? [W3] :
( ( ~ aElementOf0(W3,W2)
| ~ aSubsetOf0(W3,W0)
| sbrdtbr0(W3) != W1 )
& ( aElementOf0(W3,W2)
| ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f283]) ).
fof(f285,plain,
! [W0,W1] :
( ~ aSet0(W0)
| ~ aElementOf0(W1,szNzAzT0)
| ( ! [W2] :
( W2 != slbdtsldtrb0(W0,W1)
| ( aSet0(W2)
& ! [W3] :
( ~ aElementOf0(W3,W2)
| ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) )
& ! [W3] :
( aElementOf0(W3,W2)
| ~ aSubsetOf0(W3,W0)
| sbrdtbr0(W3) != W1 ) ) )
& ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
| ~ aSet0(W2)
| ? [W3] :
( ( ~ aElementOf0(W3,W2)
| ~ aSubsetOf0(W3,W0)
| sbrdtbr0(W3) != W1 )
& ( aElementOf0(W3,W2)
| ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f284]) ).
fof(f286,plain,
! [W0,W1] :
( ~ aSet0(W0)
| ~ aElementOf0(W1,szNzAzT0)
| ( ! [W2] :
( W2 != slbdtsldtrb0(W0,W1)
| ( aSet0(W2)
& ! [W3] :
( ~ aElementOf0(W3,W2)
| ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) )
& ! [W3] :
( aElementOf0(W3,W2)
| ~ aSubsetOf0(W3,W0)
| sbrdtbr0(W3) != W1 ) ) )
& ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
| ~ aSet0(W2)
| ( ( ~ aElementOf0(sk0_10(W2,W1,W0),W2)
| ~ aSubsetOf0(sk0_10(W2,W1,W0),W0)
| sbrdtbr0(sk0_10(W2,W1,W0)) != W1 )
& ( aElementOf0(sk0_10(W2,W1,W0),W2)
| ( aSubsetOf0(sk0_10(W2,W1,W0),W0)
& sbrdtbr0(sk0_10(W2,W1,W0)) = W1 ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f285]) ).
fof(f289,plain,
! [X0,X1,X2,X3] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) = X1 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f360,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f372,plain,
xK != sz00,
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f422,plain,
aSet0(xO),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f432,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f433,plain,
xQ = slcrc0,
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f465,plain,
! [X0,X1,X2] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(X0,X1))
| sbrdtbr0(X2) = X1 ),
inference(destructive_equality_resolution,[status(esa)],[f289]) ).
fof(f482,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xO,xK)),
inference(forward_demodulation,[status(thm)],[f433,f432]) ).
fof(f516,plain,
sbrdtbr0(slbdtrb0(sz00)) = sz00,
inference(resolution,[status(thm)],[f282,f180]) ).
fof(f517,plain,
sbrdtbr0(slcrc0) = sz00,
inference(forward_demodulation,[status(thm)],[f267,f516]) ).
fof(f521,plain,
( spl0_7
<=> aSet0(xO) ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( ~ aSet0(xO)
| spl0_7 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( spl0_8
<=> aElementOf0(xK,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl0_8 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f532,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f526,f360]) ).
fof(f533,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f543,plain,
( spl0_11
<=> sbrdtbr0(slcrc0) = xK ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( sbrdtbr0(slcrc0) = xK
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ aSet0(xO)
| ~ aElementOf0(xK,szNzAzT0)
| sbrdtbr0(slcrc0) = xK ),
inference(resolution,[status(thm)],[f465,f482]) ).
fof(f547,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_11 ),
inference(split_clause,[status(thm)],[f546,f521,f524,f543]) ).
fof(f722,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f523]) ).
fof(f723,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f722]) ).
fof(f724,plain,
( sz00 = xK
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f517,f544]) ).
fof(f725,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f724,f372]) ).
fof(f726,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f725]) ).
fof(f727,plain,
$false,
inference(sat_refutation,[status(thm)],[f533,f547,f723,f726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM605+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n009.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 May 30 09:46:16 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.51 % Elapsed time: 0.177501 seconds
% 0.19/0.51 % CPU time: 1.261614 seconds
% 0.19/0.51 % Memory used: 75.785 MB
%------------------------------------------------------------------------------