%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS180+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 01:00:23 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS180+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:56:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> ~ status(Ax,C,S2) ))<=> nevera(S1,S2) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,axiom,(
% 0.09/0.39 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)<~> status(Ax,C,S2) ))<=> xora(S1,S2) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f14,conjecture,(
% 0.09/0.39 (! [S1,S2] :(? [Ax,C] :( status(Ax,C,S1)=> ~ ( isa(S1,S2)& ( nota(S1,S2)| nevera(S1,S2)| xora(S1,S2) ) ) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,negated_conjecture,(
% 0.09/0.39 ~((! [S1,S2] :(? [Ax,C] :( status(Ax,C,S1)=> ~ ( isa(S1,S2)& ( nota(S1,S2)| nevera(S1,S2)| xora(S1,S2) ) ) ) )))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f14])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 ![S1,S2]: (((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2))&((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f22])).
% 0.09/0.39 fof(f24,plain,(
% 0.09/0.39 (![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 (![S1,S2]: ((status(sK2_skl(S2,S1),sK3_skl(S2,S1),S1)&~status(sK2_skl(S2,S1),sK3_skl(S2,S1),S2))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Ax,sK2_skl(S2,S1)),skolemize(C,sK3_skl(S2,S1))],[f24])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|~isa(X2,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 ![S1,S2]: (((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2))&((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f29])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((status(sK4_skl(S2,S1),sK5_skl(S2,S1),S1)&~status(sK4_skl(S2,S1),sK5_skl(S2,S1),S2))|~nota(S1,S2)))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(Ax,sK4_skl(S2,S1)),skolemize(C,sK5_skl(S2,S1))],[f30])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ![X0,X1]: (status(sK4_skl(X0,X1),sK5_skl(X0,X1),X1)|~nota(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 ![X0,X1]: (~status(sK4_skl(X0,X1),sK5_skl(X0,X1),X0)|~nota(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))<=>nevera(S1,S2))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ![S1,S2]: (((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|nevera(S1,S2))&((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f35])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 (![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|nevera(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f36])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 (![S1,S2]: ((status(sK6_skl(S2,S1),sK7_skl(S2,S1),S1)&status(sK6_skl(S2,S1),sK7_skl(S2,S1),S2))|nevera(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(Ax,sK6_skl(S2,S1)),skolemize(C,sK7_skl(S2,S1))],[f37])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|~nevera(X2,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 ![S1,S2]: (((?[Ax,C]: ((~status(Ax,C,S1)|status(Ax,C,S2))&(status(Ax,C,S1)|~status(Ax,C,S2))))|xora(S1,S2))&((![Ax,C]: ((status(Ax,C,S1)|status(Ax,C,S2))&(~status(Ax,C,S1)|~status(Ax,C,S2))))|~xora(S1,S2)))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 (![S1,S2]: ((?[Ax,C]: ((~status(Ax,C,S1)|status(Ax,C,S2))&(status(Ax,C,S1)|~status(Ax,C,S2))))|xora(S1,S2)))&(![S1,S2]: (((![Ax,C]: (status(Ax,C,S1)|status(Ax,C,S2)))&(![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2))))|~xora(S1,S2)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f42])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 (![S1,S2]: (((~status(sK8_skl(S2,S1),sK9_skl(S2,S1),S1)|status(sK8_skl(S2,S1),sK9_skl(S2,S1),S2))&(status(sK8_skl(S2,S1),sK9_skl(S2,S1),S1)|~status(sK8_skl(S2,S1),sK9_skl(S2,S1),S2)))|xora(S1,S2)))&(![S1,S2]: (((![Ax,C]: (status(Ax,C,S1)|status(Ax,C,S2)))&(![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2))))|~xora(S1,S2)))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(Ax,sK8_skl(S2,S1)),skolemize(C,sK9_skl(S2,S1))],[f43])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|~xora(X2,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.39 fof(f82,plain,(
% 0.09/0.39 (?[S1,S2]: ![Ax,C]: (status(Ax,C,S1)&(isa(S1,S2)&((nota(S1,S2)|nevera(S1,S2))|xora(S1,S2)))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.39 fof(f83,plain,(
% 0.09/0.39 ?[S1]: ((![Ax,C]: status(Ax,C,S1))&(?[S2]: (isa(S1,S2)&((nota(S1,S2)|nevera(S1,S2))|xora(S1,S2)))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f82])).
% 0.09/0.39 fof(f84,plain,(
% 0.09/0.39 ((![Ax,C]: status(Ax,C,sK29_skl))&(isa(sK29_skl,sK30_skl)&((nota(sK29_skl,sK30_skl)|nevera(sK29_skl,sK30_skl))|xora(sK29_skl,sK30_skl))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl]),skolemize(S1,sK29_skl),skolemize(S2,sK30_skl)],[f83])).
% 0.09/0.39 fof(f85,plain,(
% 0.09/0.39 ![X0,X1]: (status(X0,X1,sK29_skl))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.39 fof(f86,plain,(
% 0.09/0.39 isa(sK29_skl,sK30_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.39 fof(f87,plain,(
% 0.09/0.39 nota(sK29_skl,sK30_skl)|nevera(sK29_skl,sK30_skl)|xora(sK29_skl,sK30_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.39 fof(f88,definition,(
% 0.09/0.39 sQ0_spl <=> (nota(sK29_skl,sK30_skl))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f89,plain,(
% 0.09/0.39 nota(sK29_skl,sK30_skl)|~sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f88])).
% 0.09/0.39 fof(f91,definition,(
% 0.09/0.39 sQ1_spl <=> (nevera(sK29_skl,sK30_skl))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f92,plain,(
% 0.09/0.39 nevera(sK29_skl,sK30_skl)|~sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.09/0.39 fof(f94,definition,(
% 0.09/0.39 sQ2_spl <=> (xora(sK29_skl,sK30_skl))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f95,plain,(
% 0.09/0.39 xora(sK29_skl,sK30_skl)|~sQ2_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f94])).
% 0.09/0.39 fof(f97,plain,(
% 0.09/0.39 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f87,f88,f91,f94])).
% 0.09/0.39 fof(f99,plain,(
% 0.09/0.39 ![X0,X1,X2,X3,X4]: (status(X0,X1,X2)|nota(X3,X2)|~status(X0,X1,X4)|~isa(X4,X3))),
% 0.09/0.39 inference(resolution,[status(thm)],[f32,f28])).
% 0.09/0.39 fof(f102,plain,(
% 0.09/0.39 ![X0,X1]: (~status(X0,X1,sK29_skl)|~status(X0,X1,sK30_skl)|~sQ2_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f48,f95])).
% 0.09/0.39 fof(f103,plain,(
% 0.09/0.39 ![X0,X1]: (~status(X0,X1,sK30_skl)|~sQ2_spl)),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f102,f85])).
% 0.09/0.39 fof(f105,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~status(X0,X1,X2)|~isa(X2,sK30_skl)|~sQ2_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f103,f28])).
% 0.09/0.39 fof(f106,plain,(
% 0.09/0.39 ![X0,X1,X2]: (status(X0,X1,X2)|nota(sK30_skl,X2)|~status(X0,X1,sK29_skl))),
% 0.09/0.39 inference(resolution,[status(thm)],[f99,f86])).
% 0.09/0.39 fof(f107,plain,(
% 0.09/0.39 ![X0,X1,X2]: (status(X0,X1,X2)|nota(sK30_skl,X2))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f106,f85])).
% 0.09/0.39 fof(f110,plain,(
% 0.09/0.39 ![X0,X1]: (~status(X0,X1,sK29_skl)|~sQ2_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f105,f86])).
% 0.09/0.39 fof(f111,plain,(
% 0.09/0.39 $false|~sQ2_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f110,f85])).
% 0.09/0.39 fof(f112,plain,(
% 0.09/0.39 ~sQ2_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f111])).
% 0.09/0.39 fof(f113,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (nota(sK30_skl,X0)|status(X1,X2,X3)|nota(X0,X3))),
% 0.09/0.39 inference(resolution,[status(thm)],[f107,f32])).
% 0.09/0.39 fof(f114,plain,(
% 0.09/0.39 ![X0,X1,X2,X3,X4]: (nota(sK30_skl,X0)|nota(X0,X1)|status(X2,X3,X4)|nota(X1,X4))),
% 0.09/0.39 inference(resolution,[status(thm)],[f113,f32])).
% 0.09/0.39 fof(f144,plain,(
% 0.09/0.39 ![X0]: (~nota(X0,X0)|~nota(X0,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f34,f33])).
% 0.09/0.39 fof(f153,plain,(
% 0.09/0.39 ![X0]: (~nota(X0,X0))),
% 0.09/0.39 inference(duplicate_literals_removal,[status(thm)],[f144])).
% 0.09/0.39 fof(f156,plain,(
% 0.09/0.39 ![X0,X1]: (status(X0,X1,sK30_skl))),
% 0.09/0.39 inference(resolution,[status(thm)],[f153,f114])).
% 0.09/0.39 fof(f288,plain,(
% 0.09/0.39 ![X0]: (~nota(X0,sK30_skl))),
% 0.09/0.39 inference(resolution,[status(thm)],[f156,f34])).
% 0.09/0.39 fof(f291,plain,(
% 0.09/0.39 $false|~sQ0_spl),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f89,f288])).
% 0.09/0.39 fof(f314,plain,(
% 0.09/0.39 ~sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f291])).
% 0.09/0.39 fof(f337,plain,(
% 0.09/0.39 ![X0,X1]: (~status(X0,X1,sK29_skl)|~status(X0,X1,sK30_skl)|~sQ1_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f92,f41])).
% 0.09/0.39 fof(f338,plain,(
% 0.09/0.39 ![X0,X1]: (~status(X0,X1,sK30_skl)|~sQ1_spl)),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f337,f85])).
% 0.09/0.39 fof(f342,plain,(
% 0.09/0.39 $false|~sQ1_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f338,f156])).
% 0.09/0.39 fof(f343,plain,(
% 0.09/0.39 ~sQ1_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f342])).
% 0.09/0.39 fof(f344,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f97,f112,f314,f343])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40 % Elapsed time: 0.032009 seconds
% 0.09/0.40 % CPU time: 0.085222 seconds
% 0.09/0.40 % Total memory used: 9.237 MB
% 0.09/0.40 % Net memory used: 9.004 MB
%------------------------------------------------------------------------------