%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG087+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:04:55 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 2 def)
% Number of atoms : 52 ( 9 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 45 ( 13 ~; 10 |; 20 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 4 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,hypothesis,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [W0,W1] :
( sdtpldt0(W0,W1) = xy
& aElementOf0(W1,xJ)
& aElementOf0(W0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [W0,W1] :
( sdtpldt0(W0,W1) = xx
& aElementOf0(W1,xJ)
& aElementOf0(W0,xI) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,conjecture,
? [W0,W1] :
( xy = sdtpldt0(W0,W1)
& aElementOf0(W1,xJ)
& aElementOf0(W0,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ ? [W0,W1] :
( xy = sdtpldt0(W0,W1)
& aElementOf0(W1,xJ)
& aElementOf0(W0,xI) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f124,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& sdtpldt0(sK13_skl,sK14_skl) = xy
& aElementOf0(sK14_skl,xJ)
& aElementOf0(sK13_skl,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& sdtpldt0(sK11_skl,sK12_skl) = xx
& aElementOf0(sK12_skl,xJ)
& aElementOf0(sK11_skl,xI) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(W0,sK11_skl),skolemize(W1,sK12_skl),skolemize(W0,sK13_skl),skolemize(W1,sK14_skl)],[f26]) ).
fof(f129,plain,
aElementOf0(sK13_skl,xI),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f130,plain,
aElementOf0(sK14_skl,xJ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f131,plain,
sdtpldt0(sK13_skl,sK14_skl) = xy,
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f137,plain,
! [W0,W1] :
( xy != sdtpldt0(W0,W1)
| ~ aElementOf0(W1,xJ)
| ~ aElementOf0(W0,xI) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f138,plain,
! [X0,X1] :
( xy != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f214,plain,
( ~ aElementOf0(sK14_skl,xJ)
| ~ aElementOf0(sK13_skl,xI) ),
inference(resolution,[status(thm)],[f131,f138]) ).
fof(f222,definition,
( sQ12_spl
<=> aElementOf0(sK13_skl,xI) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( sQ12_spl
| ~ aElementOf0(sK13_skl,xI) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ13_spl
<=> aElementOf0(sK14_skl,xJ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ13_spl
| ~ aElementOf0(sK14_skl,xJ) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f214,f222,f225]) ).
fof(f266,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f129]) ).
fof(f267,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f130]) ).
fof(f269,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f268]) ).
fof(f270,plain,
$false,
inference(sat_refutation,[status(thm)],[f228,f267,f269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG087+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:18:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.043245 seconds
% 0.12/0.40 % CPU time: 0.113209 seconds
% 0.12/0.40 % Total memory used: 81.618 MB
% 0.12/0.40 % Net memory used: 81.525 MB
%------------------------------------------------------------------------------