%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG060+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:04:49 PM UTC 2026
% Result : Theorem 0.17s 0.53s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 12 unt; 5 def)
% Number of atoms : 92 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 89 ( 38 ~; 37 |; 7 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [W0,W1,W2,W3] :
( ( aScalar0(W3)
& aScalar0(W2)
& aScalar0(W1)
& aScalar0(W0) )
=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,hypothesis,
( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f86,plain,
! [W0] :
( aScalar0(smndt0(W0))
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f87,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f105,plain,
! [W0,W1,W2,W3] :
( sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3)))
| ~ aScalar0(W3)
| ~ aScalar0(W2)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f185,plain,
aScalar0(xR),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f189,plain,
aScalar0(xS),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f195,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f196,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f197,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f198,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f249,definition,
( sQ9_spl
<=> aScalar0(xR) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( sQ9_spl
| ~ aScalar0(xR) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ10_spl
<=> aScalar0(xS) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ10_spl
| ~ aScalar0(xS) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f259,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f189]) ).
fof(f260,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f185]) ).
fof(f262,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f297,definition,
( sQ18_spl
<=> aScalar0(smndt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ18_spl
| ~ aScalar0(smndt0(xS)) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f333,plain,
( sQ18_spl
| ~ aScalar0(xS) ),
inference(resolution,[status(thm)],[f299,f87]) ).
fof(f334,plain,
( sQ18_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f333,f252,f297]) ).
fof(f337,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(xS))))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(xR) ),
inference(paramodulation,[status(thm)],[f195,f106]) ).
fof(f351,definition,
! [X0,X1] :
( sQ28_spl
<=> ( sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(xS))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f352,plain,
! [X0,X1] :
( ~ sQ28_spl
| sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(xS))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( ~ sQ18_spl
| sQ28_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f337,f249,f351,f297]) ).
fof(f1268,plain,
( ~ sQ28_spl
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(paramodulation,[status(thm)],[f196,f352]) ).
fof(f1285,definition,
( sQ163_spl
<=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS)))) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ163_spl
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS)))) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ sQ28_spl
| sQ163_spl
| ~ sQ9_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1268,f297,f249,f1285,f351]) ).
fof(f1305,plain,
( ~ sQ163_spl
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) ),
inference(forward_demodulation,[status(thm)],[f197,f1286]) ).
fof(f1306,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f198]) ).
fof(f1307,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
$false,
inference(sat_refutation,[status(thm)],[f260,f262,f334,f354,f1288,f1307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG060+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n019.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 04:16:49 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.17/0.53 % Refutation found
% 0.17/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.58 % Elapsed time: 0.121032 seconds
% 0.17/0.58 % CPU time: 0.474806 seconds
% 0.17/0.58 % Total memory used: 68.440 MB
% 0.17/0.58 % Net memory used: 68.024 MB
%------------------------------------------------------------------------------