%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -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 12:25:52 PM UTC 2026
% Result : Theorem 0.13s 5.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.57 % Computer : n010.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Sun Sep 20 12:26:47 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.09/5.59 % Drodi V4.1.1
% 0.13/5.62 % Refutation found
% 0.13/5.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.62 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.62 fof(f28,axiom,(
% 0.13/5.62 (! [X,Y,P] :( connect(X,Y,P)<=> once(at_the_same_time(at(X,P),at(Y,P))) ) )),
% 0.13/5.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.62 fof(f29,axiom,(
% 0.13/5.62 (! [A,B] :( once(at_the_same_time(A,B))<=> once(at_the_same_time(B,A)) ) )),
% 0.13/5.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.62 fof(f37,conjecture,(
% 0.13/5.62 (! [X,Y,P] :( connect(X,Y,P)<=> connect(Y,X,P) ) )),
% 0.13/5.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.62 fof(f38,negated_conjecture,(
% 0.13/5.62 ~((! [X,Y,P] :( connect(X,Y,P)<=> connect(Y,X,P) ) ))),
% 0.13/5.62 inference(negated_conjecture,[status(cth)],[f37])).
% 0.13/5.62 fof(f197,plain,(
% 0.13/5.62 ![X,Y,P]: ((~connect(X,Y,P)|once(at_the_same_time(at(X,P),at(Y,P))))&(connect(X,Y,P)|~once(at_the_same_time(at(X,P),at(Y,P)))))),
% 0.13/5.62 inference(NNF_transformation,[status(thm)],[f28])).
% 0.13/5.62 fof(f198,plain,(
% 0.13/5.62 (![X,Y,P]: (~connect(X,Y,P)|once(at_the_same_time(at(X,P),at(Y,P)))))&(![X,Y,P]: (connect(X,Y,P)|~once(at_the_same_time(at(X,P),at(Y,P)))))),
% 0.13/5.62 inference(miniscoping,[status(thm)],[f197])).
% 0.13/5.62 fof(f199,plain,(
% 0.13/5.62 ![X0,X1,X2]: (~connect(X0,X1,X2)|once(at_the_same_time(at(X0,X2),at(X1,X2))))),
% 0.13/5.62 inference(cnf_transformation,[status(thm)],[f198])).
% 0.13/5.62 fof(f200,plain,(
% 0.13/5.62 ![X0,X1,X2]: (connect(X0,X1,X2)|~once(at_the_same_time(at(X0,X2),at(X1,X2))))),
% 0.13/5.62 inference(cnf_transformation,[status(thm)],[f198])).
% 0.13/5.62 fof(f201,plain,(
% 0.13/5.62 ![A,B]: ((~once(at_the_same_time(A,B))|once(at_the_same_time(B,A)))&(once(at_the_same_time(A,B))|~once(at_the_same_time(B,A))))),
% 0.13/5.62 inference(NNF_transformation,[status(thm)],[f29])).
% 0.13/5.62 fof(f202,plain,(
% 0.13/5.62 (![A,B]: (~once(at_the_same_time(A,B))|once(at_the_same_time(B,A))))&(![A,B]: (once(at_the_same_time(A,B))|~once(at_the_same_time(B,A))))),
% 0.13/5.62 inference(miniscoping,[status(thm)],[f201])).
% 0.13/5.62 fof(f203,plain,(
% 0.13/5.62 ![X0,X1]: (~once(at_the_same_time(X0,X1))|once(at_the_same_time(X1,X0)))),
% 0.13/5.62 inference(cnf_transformation,[status(thm)],[f202])).
% 0.13/5.62 fof(f225,plain,(
% 0.13/5.62 (?[X,Y,P]: (connect(X,Y,P)<~>connect(Y,X,P)))),
% 0.13/5.62 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.13/5.62 fof(f226,plain,(
% 0.13/5.62 ?[X,Y,P]: ((connect(X,Y,P)|connect(Y,X,P))&(~connect(X,Y,P)|~connect(Y,X,P)))),
% 0.13/5.62 inference(NNF_transformation,[status(thm)],[f225])).
% 0.13/5.62 fof(f227,plain,(
% 0.13/5.62 ((connect(sK26_skl,sK27_skl,sK28_skl)|connect(sK27_skl,sK26_skl,sK28_skl))&(~connect(sK26_skl,sK27_skl,sK28_skl)|~connect(sK27_skl,sK26_skl,sK28_skl)))),
% 0.13/5.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl]),skolemize(X,sK26_skl),skolemize(Y,sK27_skl),skolemize(P,sK28_skl)],[f226])).
% 0.13/5.62 fof(f228,plain,(
% 0.13/5.62 connect(sK26_skl,sK27_skl,sK28_skl)|connect(sK27_skl,sK26_skl,sK28_skl)),
% 0.13/5.62 inference(cnf_transformation,[status(thm)],[f227])).
% 0.13/5.62 fof(f229,plain,(
% 0.13/5.62 ~connect(sK26_skl,sK27_skl,sK28_skl)|~connect(sK27_skl,sK26_skl,sK28_skl)),
% 0.13/5.62 inference(cnf_transformation,[status(thm)],[f227])).
% 0.13/5.62 fof(f230,definition,(
% 0.13/5.62 sQ0_spl <=> (connect(sK26_skl,sK27_skl,sK28_skl))),
% 0.13/5.62 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.62 fof(f232,plain,(
% 0.13/5.62 ~connect(sK26_skl,sK27_skl,sK28_skl)|sQ0_spl),
% 0.13/5.62 inference(component_clause,[status(thm)],[f230])).
% 0.13/5.62 fof(f233,definition,(
% 0.13/5.62 sQ1_spl <=> (connect(sK27_skl,sK26_skl,sK28_skl))),
% 0.13/5.62 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.62 fof(f234,plain,(
% 0.13/5.62 connect(sK27_skl,sK26_skl,sK28_skl)|~sQ1_spl),
% 0.13/5.62 inference(component_clause,[status(thm)],[f233])).
% 0.13/5.62 fof(f235,plain,(
% 0.13/5.62 ~connect(sK27_skl,sK26_skl,sK28_skl)|sQ1_spl),
% 0.13/5.62 inference(component_clause,[status(thm)],[f233])).
% 0.13/5.62 fof(f236,plain,(
% 0.13/5.62 sQ0_spl|sQ1_spl),
% 0.13/5.62 inference(split_clause,[status(thm)],[f228,f230,f233])).
% 0.13/5.62 fof(f237,plain,(
% 0.13/5.62 ~sQ0_spl|~sQ1_spl),
% 0.13/5.62 inference(split_clause,[status(thm)],[f229,f230,f233])).
% 0.13/5.62 fof(f405,plain,(
% 0.13/5.62 ![X0,X1,X2]: (once(at_the_same_time(at(X0,X1),at(X2,X1)))|~connect(X2,X0,X1))),
% 0.13/5.62 inference(resolution,[status(thm)],[f203,f199])).
% 0.13/5.62 fof(f474,plain,(
% 0.13/5.62 ![X0,X1,X2]: (~connect(X0,X1,X2)|connect(X1,X0,X2))),
% 0.13/5.62 inference(resolution,[status(thm)],[f405,f200])).
% 0.13/5.62 fof(f478,plain,(
% 0.13/5.62 ~connect(sK27_skl,sK26_skl,sK28_skl)|sQ0_spl),
% 0.13/5.66 inference(resolution,[status(thm)],[f474,f232])).
% 0.13/5.66 fof(f481,plain,(
% 0.13/5.66 $false|~sQ1_spl|sQ0_spl),
% 0.13/5.66 inference(forward_subsumption_resolution,[status(thm)],[f478,f234])).
% 0.13/5.66 fof(f482,plain,(
% 0.13/5.66 ~sQ1_spl|sQ0_spl),
% 0.13/5.66 inference(contradiction_clause,[status(thm)],[f481])).
% 0.13/5.66 fof(f483,plain,(
% 0.13/5.66 ~connect(sK26_skl,sK27_skl,sK28_skl)|sQ1_spl),
% 0.13/5.66 inference(resolution,[status(thm)],[f235,f474])).
% 0.13/5.66 fof(f484,plain,(
% 0.13/5.66 ~sQ0_spl|sQ1_spl),
% 0.13/5.66 inference(split_clause,[status(thm)],[f483,f230,f233])).
% 0.13/5.66 fof(f485,plain,(
% 0.13/5.66 $false),
% 0.13/5.66 inference(sat_refutation,[status(thm)],[f236,f237,f482,f484])).
% 0.13/5.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.66 % Elapsed time: 0.062012 seconds
% 0.13/5.66 % CPU time: 0.234429 seconds
% 0.13/5.66 % Total memory used: 107.194 MB
% 0.13/5.66 % Net memory used: 106.929 MB
%------------------------------------------------------------------------------