%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ054-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:00:23 PM UTC 2026
% Result : Satisfiable 0.02s 0.38s
% Output : Saturation 0.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( ~ p(s(s(X)),Y)
| p(X,s(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ p(X,s(s(Y)))
| p(X,s(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( ~ p(s(X),s(Y))
| p(s(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p(s(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( ~ p(s(s(X0)),X1)
| p(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1] :
( ~ p(X0,s(s(X1)))
| p(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1] :
( ~ p(s(X0),s(X1))
| p(s(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
~ p(s(n0),n0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f12,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f14,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f15,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,[status(thm)],[f11,f9]) ).
fof(f18,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,[status(thm)],[f12,f9]) ).
fof(f20,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolution,[status(thm)],[f14,f7]) ).
fof(f21,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f23,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(resolution,[status(thm)],[f20,f7]) ).
fof(f24,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,[status(thm)],[f20,f9]) ).
fof(f26,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),
inference(resolution,[status(thm)],[f23,f7]) ).
fof(f27,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolution,[status(thm)],[f23,f9]) ).
fof(f29,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(resolution,[status(thm)],[f26,f8]) ).
fof(f31,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,[status(thm)],[f15,f9]) ).
fof(f34,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0))))))),
inference(resolution,[status(thm)],[f18,f9]) ).
fof(f37,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,[status(thm)],[f21,f9]) ).
fof(f39,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolution,[status(thm)],[f29,f8]) ).
fof(f40,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,[status(thm)],[f39,f8]) ).
fof(f41,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,[status(thm)],[f40,f8]) ).
fof(f43,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,[status(thm)],[f31,f9]) ).
fof(f46,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(n0)))))),
inference(resolution,[status(thm)],[f34,f9]) ).
fof(f48,plain,
p(n0,s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,[status(thm)],[f41,f8]) ).
fof(f49,plain,
p(n0,s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,[status(thm)],[f48,f8]) ).
fof(f50,plain,
p(n0,s(s(s(s(s(s(s(n0)))))))),
inference(resolution,[status(thm)],[f49,f8]) ).
fof(f52,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,[status(thm)],[f24,f9]) ).
fof(f55,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,[status(thm)],[f37,f9]) ).
fof(f57,plain,
p(n0,s(s(s(s(s(s(n0))))))),
inference(resolution,[status(thm)],[f50,f8]) ).
fof(f59,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(n0))))))),
inference(resolution,[status(thm)],[f43,f9]) ).
fof(f61,plain,
p(n0,s(s(s(s(s(n0)))))),
inference(resolution,[status(thm)],[f57,f8]) ).
fof(f62,plain,
p(n0,s(s(s(s(n0))))),
inference(resolution,[status(thm)],[f61,f8]) ).
fof(f64,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(n0))))),
inference(resolution,[status(thm)],[f46,f9]) ).
fof(f66,plain,
p(n0,s(s(s(n0)))),
inference(resolution,[status(thm)],[f62,f8]) ).
fof(f67,plain,
p(n0,s(s(n0))),
inference(resolution,[status(thm)],[f66,f8]) ).
fof(f68,plain,
p(n0,s(n0)),
inference(resolution,[status(thm)],[f67,f8]) ).
fof(f70,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,[status(thm)],[f27,f9]) ).
fof(f73,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,[status(thm)],[f52,f9]) ).
fof(f76,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,[status(thm)],[f55,f9]) ).
fof(f79,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,[status(thm)],[f70,f9]) ).
fof(f82,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,[status(thm)],[f79,f9]) ).
fof(f85,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0)))))),
inference(resolution,[status(thm)],[f59,f9]) ).
fof(f88,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,[status(thm)],[f82,f9]) ).
fof(f91,plain,
p(s(s(n0)),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,[status(thm)],[f88,f9]) ).
fof(f94,plain,
p(s(s(n0)),s(s(s(s(s(s(n0))))))),
inference(resolution,[status(thm)],[f91,f9]) ).
fof(f97,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(n0)))),
inference(resolution,[status(thm)],[f64,f9]) ).
fof(f100,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,[status(thm)],[f73,f9]) ).
fof(f103,plain,
p(s(s(n0)),s(s(s(s(s(n0)))))),
inference(resolution,[status(thm)],[f94,f9]) ).
fof(f106,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0))))))),
inference(resolution,[status(thm)],[f76,f9]) ).
fof(f109,plain,
p(s(s(n0)),s(s(s(s(n0))))),
inference(resolution,[status(thm)],[f103,f9]) ).
fof(f112,plain,
p(s(s(n0)),s(s(s(n0)))),
inference(resolution,[status(thm)],[f109,f9]) ).
fof(f115,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0))))),
inference(resolution,[status(thm)],[f85,f9]) ).
fof(f118,plain,
p(s(s(n0)),s(s(n0))),
inference(resolution,[status(thm)],[f112,f9]) ).
fof(f121,plain,
p(s(s(n0)),s(n0)),
inference(resolution,[status(thm)],[f118,f9]) ).
fof(f124,plain,
p(s(s(n0)),n0),
inference(resolution,[status(thm)],[f121,f9]) ).
fof(f126,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(n0))),
inference(resolution,[status(thm)],[f97,f9]) ).
fof(f129,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,[status(thm)],[f100,f9]) ).
fof(f133,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0)))))),
inference(resolution,[status(thm)],[f106,f9]) ).
fof(f136,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(n0)))),
inference(resolution,[status(thm)],[f115,f9]) ).
fof(f139,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(n0)),
inference(resolution,[status(thm)],[f126,f9]) ).
fof(f142,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(n0))))))),
inference(resolution,[status(thm)],[f129,f9]) ).
fof(f145,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(n0))))),
inference(resolution,[status(thm)],[f133,f9]) ).
fof(f148,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0))),
inference(resolution,[status(thm)],[f136,f9]) ).
fof(f151,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(n0)))))),
inference(resolution,[status(thm)],[f142,f9]) ).
fof(f154,plain,
p(s(s(s(s(n0)))),s(s(s(s(n0))))),
inference(resolution,[status(thm)],[f151,f9]) ).
fof(f157,plain,
p(s(s(s(s(n0)))),s(s(s(n0)))),
inference(resolution,[status(thm)],[f154,f9]) ).
fof(f160,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),n0),
inference(resolution,[status(thm)],[f139,f9]) ).
fof(f162,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(n0)))),
inference(resolution,[status(thm)],[f145,f9]) ).
fof(f165,plain,
p(s(s(s(s(n0)))),s(s(n0))),
inference(resolution,[status(thm)],[f157,f9]) ).
fof(f168,plain,
p(s(s(s(s(n0)))),s(n0)),
inference(resolution,[status(thm)],[f165,f9]) ).
fof(f171,plain,
p(s(s(s(s(n0)))),n0),
inference(resolution,[status(thm)],[f168,f9]) ).
fof(f173,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(n0)),
inference(resolution,[status(thm)],[f148,f9]) ).
fof(f178,plain,
p(s(s(s(s(s(s(n0)))))),s(s(n0))),
inference(resolution,[status(thm)],[f162,f9]) ).
fof(f181,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),n0),
inference(resolution,[status(thm)],[f173,f9]) ).
fof(f183,plain,
p(s(s(s(s(s(s(n0)))))),s(n0)),
inference(resolution,[status(thm)],[f178,f9]) ).
fof(f186,plain,
p(s(s(s(s(s(s(n0)))))),n0),
inference(resolution,[status(thm)],[f183,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ054-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:42:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.02/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.02/0.42 % Elapsed time: 0.049022 seconds
% 0.02/0.42 % CPU time: 0.139142 seconds
% 0.02/0.42 % Total memory used: 40.984 MB
% 0.02/0.42 % Net memory used: 40.639 MB
%------------------------------------------------------------------------------