TSTP Solution File: RNG124+4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:32:59 EDT 2023
% Result : Theorem 1.47s 0.57s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 81 ( 23 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 84 ( 28 ~; 23 |; 29 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 16 (; 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,hypothesis,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 )
| aElementOf0(W0,xI) )
& W0 != sz00 )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,hypothesis,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,hypothesis,
xr != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xr )
& aElementOf0(xr,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f277,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( ! [W1,W2] :
( ~ aElementOf0(W1,slsdtgt0(xa))
| ~ aElementOf0(W2,slsdtgt0(xb))
| sdtpldt0(W1,W2) != W0 )
& ~ aElementOf0(W0,xI) )
| W0 = sz00
| ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f278,plain,
( aElementOf0(sk0_36,slsdtgt0(xa))
& aElementOf0(sk0_37,slsdtgt0(xb))
& sdtpldt0(sk0_36,sk0_37) = xu
& aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( ! [W1,W2] :
( ~ aElementOf0(W1,slsdtgt0(xa))
| ~ aElementOf0(W2,slsdtgt0(xb))
| sdtpldt0(W1,W2) != W0 )
& ~ aElementOf0(W0,xI) )
| W0 = sz00
| ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
inference(skolemization,[status(esa)],[f277]) ).
fof(f285,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| X0 = sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f306,plain,
( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f307,plain,
xr != sz00,
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f322,plain,
( aElementOf0(sk0_47,slsdtgt0(xa))
& aElementOf0(sk0_48,slsdtgt0(xb))
& sdtpldt0(sk0_47,sk0_48) = xr
& aElementOf0(xr,xI) ),
inference(skolemization,[status(esa)],[f55]) ).
fof(f326,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f376,plain,
( spl0_6
<=> xr = sz00 ),
introduced(split_symbol_definition) ).
fof(f377,plain,
( xr = sz00
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( spl0_7
<=> iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f306,f376,f379]) ).
fof(f415,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f307]) ).
fof(f416,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f415]) ).
fof(f3081,plain,
( spl0_360
<=> aElementOf0(xr,xI) ),
introduced(split_symbol_definition) ).
fof(f3083,plain,
( ~ aElementOf0(xr,xI)
| spl0_360 ),
inference(component_clause,[status(thm)],[f3081]) ).
fof(f3084,plain,
( ~ aElementOf0(xr,xI)
| xr = sz00
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f285,f380]) ).
fof(f3085,plain,
( ~ spl0_360
| spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f3084,f3081,f376,f379]) ).
fof(f3086,plain,
( $false
| spl0_360 ),
inference(forward_subsumption_resolution,[status(thm)],[f3083,f326]) ).
fof(f3087,plain,
spl0_360,
inference(contradiction_clause,[status(thm)],[f3086]) ).
fof(f3088,plain,
$false,
inference(sat_refutation,[status(thm)],[f382,f416,f3085,f3087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:06:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 1.47/0.57 % Refutation found
% 1.47/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.47/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.47/0.57 % Elapsed time: 0.218792 seconds
% 1.47/0.57 % CPU time: 1.510315 seconds
% 1.47/0.57 % Memory used: 77.279 MB
%------------------------------------------------------------------------------