%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:26:33 PM UTC 2026
% Result : Theorem 1.29s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 16:58:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 1.29/0.68 % Refutation found
% 1.29/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.29/0.68 % SZS output start CNFRefutation for theBenchmark
% 1.29/0.68 fof(f99,axiom,(
% 1.29/0.68 (! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp )),
% 1.29/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.29/0.68 fof(f105,axiom,(
% 1.29/0.68 (! [Xp,Xq,Xr,Xa] :( ~ s_t(Xp,Xq,Xr)| s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ) )),
% 1.29/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.29/0.68 fof(f106,conjecture,(
% 1.29/0.68 (! [Xp,Xq,Xr,Xa] :( s_t(Xp,Xq,Xr)| ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ) )),
% 1.29/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.29/0.68 fof(f107,negated_conjecture,(
% 1.29/0.68 ~((! [Xp,Xq,Xr,Xa] :( s_t(Xp,Xq,Xr)| ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ) ))),
% 1.29/0.68 inference(negated_conjecture,[status(cth)],[f106])).
% 1.29/0.68 fof(f282,plain,(
% 1.29/0.68 ![X0,X1]: (s(X0,s(X0,X1))=X1)),
% 1.29/0.68 inference(cnf_transformation,[status(thm)],[f99])).
% 1.29/0.68 fof(f290,plain,(
% 1.29/0.68 ![Xp,Xq,Xr]: (~s_t(Xp,Xq,Xr)|(![Xa]: s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))))),
% 1.29/0.68 inference(miniscoping,[status(thm)],[f105])).
% 1.29/0.68 fof(f291,plain,(
% 1.29/0.68 ![X0,X1,X2,X3]: (~s_t(X0,X1,X2)|s_t(s(X3,X0),s(X3,X1),s(X3,X2)))),
% 1.29/0.68 inference(cnf_transformation,[status(thm)],[f290])).
% 1.29/0.68 fof(f292,plain,(
% 1.29/0.68 (?[Xp,Xq,Xr,Xa]: (~s_t(Xp,Xq,Xr)&s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))))),
% 1.29/0.68 inference(pre_NNF_transformation,[status(thm)],[f107])).
% 1.29/0.68 fof(f293,plain,(
% 1.29/0.68 ?[Xp,Xq,Xr]: (~s_t(Xp,Xq,Xr)&(?[Xa]: s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))))),
% 1.29/0.68 inference(miniscoping,[status(thm)],[f292])).
% 1.29/0.68 fof(f294,plain,(
% 1.29/0.68 (~s_t(sK0_skl,sK1_skl,sK2_skl)&s_t(s(sK3_skl,sK0_skl),s(sK3_skl,sK1_skl),s(sK3_skl,sK2_skl)))),
% 1.29/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Xp,sK0_skl),skolemize(Xq,sK1_skl),skolemize(Xr,sK2_skl),skolemize(Xa,sK3_skl)],[f293])).
% 1.29/0.68 fof(f295,plain,(
% 1.29/0.68 ~s_t(sK0_skl,sK1_skl,sK2_skl)),
% 1.29/0.68 inference(cnf_transformation,[status(thm)],[f294])).
% 1.29/0.68 fof(f296,plain,(
% 1.29/0.68 s_t(s(sK3_skl,sK0_skl),s(sK3_skl,sK1_skl),s(sK3_skl,sK2_skl))),
% 1.29/0.68 inference(cnf_transformation,[status(thm)],[f294])).
% 1.29/0.68 fof(f750,plain,(
% 1.29/0.68 ![X0]: (s_t(s(X0,s(sK3_skl,sK0_skl)),s(X0,s(sK3_skl,sK1_skl)),s(X0,s(sK3_skl,sK2_skl))))),
% 1.29/0.68 inference(resolution,[status(thm)],[f291,f296])).
% 1.29/0.68 fof(f802,plain,(
% 1.29/0.68 s_t(sK0_skl,s(sK3_skl,s(sK3_skl,sK1_skl)),s(sK3_skl,s(sK3_skl,sK2_skl)))),
% 1.29/0.68 inference(paramodulation,[status(thm)],[f282,f750])).
% 1.29/0.68 fof(f808,plain,(
% 1.29/0.68 s_t(sK0_skl,sK1_skl,s(sK3_skl,s(sK3_skl,sK2_skl)))),
% 1.29/0.68 inference(forward_demodulation,[status(thm)],[f282,f802])).
% 1.29/0.68 fof(f809,plain,(
% 1.29/0.68 s_t(sK0_skl,sK1_skl,sK2_skl)),
% 1.29/0.68 inference(forward_demodulation,[status(thm)],[f282,f808])).
% 1.29/0.68 fof(f810,plain,(
% 1.29/0.68 $false),
% 1.29/0.68 inference(forward_subsumption_resolution,[status(thm)],[f809,f295])).
% 1.29/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 1.29/0.69 % Elapsed time: 0.297739 seconds
% 1.29/0.69 % CPU time: 2.069822 seconds
% 1.29/0.69 % Total memory used: 120.272 MB
% 1.29/0.69 % Net memory used: 118.218 MB
%------------------------------------------------------------------------------