%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL046+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:03:45 PM UTC 2026
% Result : Theorem 0.24s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL046+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.65 % Computer : n007.cluster.edu
% 0.18/0.65 % Model : x86_64 x86_64
% 0.18/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.65 % Memory : 8046.5625MB
% 0.18/0.65 % OS : Linux 6.8.0-71-generic
% 0.22/0.65 % CPULimit : 300
% 0.22/0.65 % WCLimit : 300
% 0.22/0.65 % DateTime : Mon Sep 21 04:06:21 UTC 2026
% 0.22/0.66 % CPUTime :
% 0.22/0.67 % Drodi V4.1.1
% 0.24/0.70 % Refutation found
% 0.24/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.70 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.70 fof(f1,axiom,(
% 0.24/0.70 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 0.24/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.70 fof(f2,axiom,(
% 0.24/0.70 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 0.24/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.70 fof(f3,axiom,(
% 0.24/0.70 (! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) )),
% 0.24/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.70 fof(f4,axiom,(
% 0.24/0.70 (! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) )),
% 0.24/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.70 fof(f14,conjecture,(
% 0.24/0.70 (! [X0,X1,X2] :( join(X0,meet(X1,X2)) = meet(X1,X2)=> ( join(X0,X1) = X1& join(X0,X2) = X2 ) ) )),
% 0.24/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.70 fof(f15,negated_conjecture,(
% 0.24/0.70 ~((! [X0,X1,X2] :( join(X0,meet(X1,X2)) = meet(X1,X2)=> ( join(X0,X1) = X1& join(X0,X2) = X2 ) ) ))),
% 0.24/0.70 inference(negated_conjecture,[status(cth)],[f14])).
% 0.24/0.70 fof(f16,plain,(
% 0.24/0.70 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.24/0.70 inference(cnf_transformation,[status(thm)],[f1])).
% 0.24/0.70 fof(f17,plain,(
% 0.24/0.70 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.24/0.70 inference(cnf_transformation,[status(thm)],[f2])).
% 0.24/0.70 fof(f18,plain,(
% 0.24/0.70 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.24/0.70 inference(cnf_transformation,[status(thm)],[f3])).
% 0.24/0.70 fof(f19,plain,(
% 0.24/0.70 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 0.24/0.70 inference(cnf_transformation,[status(thm)],[f4])).
% 0.24/0.70 fof(f29,plain,(
% 0.24/0.70 (?[X0,X1,X2]: (join(X0,meet(X1,X2))=meet(X1,X2)&(~join(X0,X1)=X1|~join(X0,X2)=X2)))),
% 0.24/0.70 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.24/0.70 fof(f30,plain,(
% 0.24/0.70 (join(sK0_skl,meet(sK1_skl,sK2_skl))=meet(sK1_skl,sK2_skl)&(~join(sK0_skl,sK1_skl)=sK1_skl|~join(sK0_skl,sK2_skl)=sK2_skl))),
% 0.24/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f29])).
% 0.24/0.70 fof(f31,plain,(
% 0.24/0.70 join(sK0_skl,meet(sK1_skl,sK2_skl))=meet(sK1_skl,sK2_skl)),
% 0.24/0.70 inference(cnf_transformation,[status(thm)],[f30])).
% 0.24/0.70 fof(f32,plain,(
% 0.24/0.70 ~join(sK0_skl,sK1_skl)=sK1_skl|~join(sK0_skl,sK2_skl)=sK2_skl),
% 0.24/0.70 inference(cnf_transformation,[status(thm)],[f30])).
% 0.24/0.70 fof(f33,definition,(
% 0.24/0.70 sQ0_spl <=> (join(sK0_skl,sK1_skl)=sK1_skl)),
% 0.24/0.70 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.24/0.70 fof(f35,plain,(
% 0.24/0.70 ~join(sK0_skl,sK1_skl)=sK1_skl|sQ0_spl),
% 0.24/0.70 inference(component_clause,[status(thm)],[f33])).
% 0.24/0.70 fof(f36,definition,(
% 0.24/0.70 sQ1_spl <=> (join(sK0_skl,sK2_skl)=sK2_skl)),
% 0.24/0.70 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.24/0.70 fof(f38,plain,(
% 0.24/0.70 ~join(sK0_skl,sK2_skl)=sK2_skl|sQ1_spl),
% 0.24/0.70 inference(component_clause,[status(thm)],[f36])).
% 0.24/0.70 fof(f39,plain,(
% 0.24/0.70 ~sQ0_spl|~sQ1_spl),
% 0.24/0.70 inference(split_clause,[status(thm)],[f32,f33,f36])).
% 0.24/0.70 fof(f47,plain,(
% 0.24/0.70 ![X0]: (join(sK0_skl,join(meet(sK1_skl,sK2_skl),X0))=join(meet(sK1_skl,sK2_skl),X0))),
% 0.24/0.70 inference(paramodulation,[status(thm)],[f31,f17])).
% 0.24/0.70 fof(f59,plain,(
% 0.24/0.70 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 0.24/0.70 inference(paramodulation,[status(thm)],[f16,f19])).
% 0.24/0.70 fof(f244,plain,(
% 0.24/0.70 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 0.24/0.70 inference(forward_demodulation,[status(thm)],[f16,f18])).
% 0.24/0.70 fof(f245,plain,(
% 0.24/0.70 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X1,X0)))),
% 0.24/0.70 inference(forward_demodulation,[status(thm)],[f59,f244])).
% 0.24/0.70 fof(f246,plain,(
% 0.24/0.70 ![X0,X1]: (X0=join(meet(X1,X0),complement(join(complement(X0),X1))))),
% 0.24/0.70 inference(forward_demodulation,[status(thm)],[f16,f245])).
% 0.24/0.70 fof(f253,plain,(
% 0.24/0.70 ![X0,X1]: (X0=join(meet(complement(X1),X0),meet(X0,X1)))),
% 0.24/0.70 inference(paramodulation,[status(thm)],[f19,f246])).
% 0.24/0.70 fof(f262,plain,(
% 0.24/0.70 join(sK0_skl,sK2_skl)=join(meet(sK1_skl,sK2_skl),complement(join(complement(sK2_skl),sK1_skl)))),
% 0.24/0.70 inference(paramodulation,[status(thm)],[f246,f47])).
% 0.24/0.71 fof(f270,plain,(
% 0.24/0.71 ![X0,X1]: (X0=join(meet(X0,X1),meet(complement(X1),X0)))),
% 0.24/0.71 inference(forward_demodulation,[status(thm)],[f16,f253])).
% 0.24/0.71 fof(f276,plain,(
% 0.24/0.71 join(sK0_skl,sK2_skl)=sK2_skl),
% 0.24/0.71 inference(forward_demodulation,[status(thm)],[f246,f262])).
% 0.24/0.71 fof(f434,plain,(
% 0.24/0.71 join(sK0_skl,sK1_skl)=join(meet(sK1_skl,sK2_skl),meet(complement(sK2_skl),sK1_skl))),
% 0.24/0.71 inference(paramodulation,[status(thm)],[f270,f47])).
% 0.24/0.71 fof(f446,plain,(
% 0.24/0.71 join(sK0_skl,sK1_skl)=sK1_skl),
% 0.24/0.71 inference(forward_demodulation,[status(thm)],[f270,f434])).
% 0.24/0.71 fof(f447,plain,(
% 0.24/0.71 $false|sQ0_spl),
% 0.24/0.71 inference(forward_subsumption_resolution,[status(thm)],[f446,f35])).
% 0.24/0.71 fof(f448,plain,(
% 0.24/0.71 sQ0_spl),
% 0.24/0.71 inference(contradiction_clause,[status(thm)],[f447])).
% 0.24/0.71 fof(f451,plain,(
% 0.24/0.71 ~sK2_skl=sK2_skl|sQ1_spl),
% 0.24/0.71 inference(forward_demodulation,[status(thm)],[f276,f38])).
% 0.24/0.71 fof(f452,plain,(
% 0.24/0.71 $false|sQ1_spl),
% 0.24/0.71 inference(trivial_equality_resolution,[status(thm)],[f451])).
% 0.24/0.71 fof(f453,plain,(
% 0.24/0.71 sQ1_spl),
% 0.24/0.71 inference(contradiction_clause,[status(thm)],[f452])).
% 0.24/0.71 fof(f454,plain,(
% 0.24/0.71 $false),
% 0.24/0.71 inference(sat_refutation,[status(thm)],[f39,f448,f453])).
% 0.24/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.75 % Elapsed time: 0.074845 seconds
% 0.24/0.75 % CPU time: 0.334072 seconds
% 0.24/0.75 % Total memory used: 69.164 MB
% 0.24/0.75 % Net memory used: 68.874 MB
%------------------------------------------------------------------------------