%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG060+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 : n010.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 0.08s 0.49s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 61 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 30 ~; 26 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(f191,plain,
aScalar0(xR),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f195,plain,
aScalar0(xS),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f201,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f202,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f203,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f204,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(f210,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)],[f201,f106]) ).
fof(f222,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) ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f191]) ).
fof(f231,plain,
( 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(smndt0(xS))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(paramodulation,[status(thm)],[f202,f222]) ).
fof(f239,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f203,f231]) ).
fof(f240,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(duplicate_literals_removal,[status(thm)],[f239]) ).
fof(f241,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f191]) ).
fof(f248,plain,
~ aScalar0(smndt0(xS)),
inference(forward_subsumption_resolution,[status(thm)],[f241,f204]) ).
fof(f249,plain,
~ aScalar0(xS),
inference(resolution,[status(thm)],[f248,f87]) ).
fof(f250,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f249,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG060+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:16:39 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.49 % Refutation found
% 0.08/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.53 % Elapsed time: 0.161399 seconds
% 0.08/0.53 % CPU time: 0.824370 seconds
% 0.08/0.53 % Total memory used: 106.397 MB
% 0.08/0.53 % Net memory used: 105.774 MB
%------------------------------------------------------------------------------