%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 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 03:20:07 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:10:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f1,axiom,(
% 0.11/0.39 (! [X] : reachable(X,X) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f2,axiom,(
% 0.11/0.39 (! [X,Y,Z] :( ( reachable(X,Y)& reachable(Y,Z) )=> reachable(X,Z) ) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f3,conjecture,(
% 0.11/0.39 ( (? [X] :( reachable(initial_world,X)& (! [Y] :( reachable(X,Y)=> p(Y) ) )))<=> (? [X] :( reachable(initial_world,X)& (! [Y] :( reachable(X,Y)=> (? [Z] :( reachable(Y,Z)& (! [W] :( reachable(Z,W)=> p(W) ) )) )) )) )) ),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f4,negated_conjecture,(
% 0.11/0.39 ~(( (? [X] :( reachable(initial_world,X)& (! [Y] :( reachable(X,Y)=> p(Y) ) )))<=> (? [X] :( reachable(initial_world,X)& (! [Y] :( reachable(X,Y)=> (? [Z] :( reachable(Y,Z)& (! [W] :( reachable(Z,W)=> p(W) ) )) )) )) )) )),
% 0.11/0.39 inference(negated_conjecture,[status(cth)],[f3])).
% 0.11/0.39 fof(f5,plain,(
% 0.11/0.39 ![X0]: (reachable(X0,X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.39 fof(f6,plain,(
% 0.11/0.39 ![X,Y,Z]: ((~reachable(X,Y)|~reachable(Y,Z))|reachable(X,Z))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.39 fof(f7,plain,(
% 0.11/0.39 ![X,Z]: ((![Y]: (~reachable(X,Y)|~reachable(Y,Z)))|reachable(X,Z))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.39 fof(f8,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~reachable(X0,X1)|~reachable(X1,X2)|reachable(X0,X2))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.39 fof(f9,plain,(
% 0.11/0.39 ((?[X]: (reachable(initial_world,X)&(![Y]: (~reachable(X,Y)|p(Y)))))<~>(?[X]: (reachable(initial_world,X)&(![Y]: (~reachable(X,Y)|(?[Z]: (reachable(Y,Z)&(![W]: (~reachable(Z,W)|p(W))))))))))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.11/0.39 fof(f10,plain,(
% 0.11/0.39 ((?[X]: (reachable(initial_world,X)&(![Y]: (~reachable(X,Y)|p(Y)))))|(?[X]: (reachable(initial_world,X)&(![Y]: (~reachable(X,Y)|(?[Z]: (reachable(Y,Z)&(![W]: (~reachable(Z,W)|p(W))))))))))&((![X]: (~reachable(initial_world,X)|(?[Y]: (reachable(X,Y)&~p(Y)))))|(![X]: (~reachable(initial_world,X)|(?[Y]: (reachable(X,Y)&(![Z]: (~reachable(Y,Z)|(?[W]: (reachable(Z,W)&~p(W))))))))))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f9])).
% 0.11/0.39 fof(f11,plain,(
% 0.11/0.39 ((reachable(initial_world,sK0_skl)&(![Y]: (~reachable(sK0_skl,Y)|p(Y))))|(reachable(initial_world,sK1_skl)&(![Y]: (~reachable(sK1_skl,Y)|(reachable(Y,sK2_skl(Y))&(![W]: (~reachable(sK2_skl(Y),W)|p(W))))))))&((![X]: (~reachable(initial_world,X)|(reachable(X,sK3_skl(X))&~p(sK3_skl(X)))))|(![X]: (~reachable(initial_world,X)|(reachable(X,sK4_skl(X))&(![Z]: (~reachable(sK4_skl(X),Z)|(reachable(Z,sK5_skl(Z,X))&~p(sK5_skl(Z,X)))))))))),
% 0.11/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(Z,sK2_skl(Y)),skolemize(Y,sK3_skl(X)),skolemize(Y,sK4_skl(X)),skolemize(W,sK5_skl(Z,X))],[f10])).
% 0.11/0.39 fof(f12,plain,(
% 0.11/0.39 reachable(initial_world,sK0_skl)|reachable(initial_world,sK1_skl)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f13,plain,(
% 0.11/0.39 ![X0]: (reachable(initial_world,sK0_skl)|~reachable(sK1_skl,X0)|reachable(X0,sK2_skl(X0)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f14,plain,(
% 0.11/0.39 ![X0,X1]: (reachable(initial_world,sK0_skl)|~reachable(sK1_skl,X0)|~reachable(sK2_skl(X0),X1)|p(X1))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f15,plain,(
% 0.11/0.39 ![X0]: (~reachable(sK0_skl,X0)|p(X0)|reachable(initial_world,sK1_skl))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f16,plain,(
% 0.11/0.39 ![X0,X1]: (~reachable(sK0_skl,X0)|p(X0)|~reachable(sK1_skl,X1)|reachable(X1,sK2_skl(X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f17,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~reachable(sK0_skl,X0)|p(X0)|~reachable(sK1_skl,X1)|~reachable(sK2_skl(X1),X2)|p(X2))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f18,plain,(
% 0.11/0.39 ![X0,X1]: (~reachable(initial_world,X0)|reachable(X0,sK3_skl(X0))|~reachable(initial_world,X1)|reachable(X1,sK4_skl(X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f19,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|reachable(X0,sK3_skl(X0))|~reachable(initial_world,X1)|~reachable(sK4_skl(X1),X2)|reachable(X2,sK5_skl(X2,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f20,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|reachable(X0,sK3_skl(X0))|~reachable(initial_world,X1)|~reachable(sK4_skl(X1),X2)|~p(sK5_skl(X2,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f21,plain,(
% 0.11/0.39 ![X0,X1]: (~reachable(initial_world,X0)|~p(sK3_skl(X0))|~reachable(initial_world,X1)|reachable(X1,sK4_skl(X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f22,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|~p(sK3_skl(X0))|~reachable(initial_world,X1)|~reachable(sK4_skl(X1),X2)|reachable(X2,sK5_skl(X2,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f23,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|~p(sK3_skl(X0))|~reachable(initial_world,X1)|~reachable(sK4_skl(X1),X2)|~p(sK5_skl(X2,X1)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f24,definition,(
% 0.11/0.39 sQ0_spl <=> (reachable(initial_world,sK0_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f25,plain,(
% 0.11/0.39 reachable(initial_world,sK0_skl)|~sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f24])).
% 0.11/0.39 fof(f27,definition,(
% 0.11/0.39 sQ1_spl <=> (reachable(initial_world,sK1_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f28,plain,(
% 0.11/0.39 reachable(initial_world,sK1_skl)|~sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f27])).
% 0.11/0.39 fof(f30,plain,(
% 0.11/0.39 sQ0_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f12,f24,f27])).
% 0.11/0.39 fof(f31,definition,(
% 0.11/0.39 ![X0]: (sQ2_spl <=> (~reachable(sK1_skl,X0)|reachable(X0,sK2_skl(X0))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f32,plain,(
% 0.11/0.39 ![X0]: (~reachable(sK1_skl,X0)|reachable(X0,sK2_skl(X0))|~sQ2_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f31])).
% 0.11/0.39 fof(f34,plain,(
% 0.11/0.39 sQ0_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f13,f24,f31])).
% 0.11/0.39 fof(f35,definition,(
% 0.11/0.39 ![X0,X1]: (sQ3_spl <=> (~reachable(sK1_skl,X0)|~reachable(sK2_skl(X0),X1)|p(X1)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f36,plain,(
% 0.11/0.39 ![X0,X1]: (~reachable(sK1_skl,X0)|~reachable(sK2_skl(X0),X1)|p(X1)|~sQ3_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f35])).
% 0.11/0.39 fof(f38,plain,(
% 0.11/0.39 sQ0_spl|sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f14,f24,f35])).
% 0.11/0.39 fof(f39,definition,(
% 0.11/0.39 ![X0]: (sQ4_spl <=> (~reachable(sK0_skl,X0)|p(X0)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f40,plain,(
% 0.11/0.39 ![X0]: (~reachable(sK0_skl,X0)|p(X0)|~sQ4_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f39])).
% 0.11/0.39 fof(f42,plain,(
% 0.11/0.39 sQ4_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f15,f39,f27])).
% 0.11/0.39 fof(f43,plain,(
% 0.11/0.39 sQ4_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f16,f39,f31])).
% 0.11/0.39 fof(f44,plain,(
% 0.11/0.39 sQ4_spl|sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f17,f39,f35])).
% 0.11/0.39 fof(f45,definition,(
% 0.11/0.39 ![X0]: (sQ5_spl <=> (~reachable(initial_world,X0)|reachable(X0,sK3_skl(X0))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f46,plain,(
% 0.11/0.39 ![X0]: (~reachable(initial_world,X0)|reachable(X0,sK3_skl(X0))|~sQ5_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f45])).
% 0.11/0.39 fof(f48,definition,(
% 0.11/0.39 ![X1]: (sQ6_spl <=> (~reachable(initial_world,X1)|reachable(X1,sK4_skl(X1))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f49,plain,(
% 0.11/0.39 ![X0]: (~reachable(initial_world,X0)|reachable(X0,sK4_skl(X0))|~sQ6_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f48])).
% 0.11/0.39 fof(f51,plain,(
% 0.11/0.39 sQ5_spl|sQ6_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f18,f45,f48])).
% 0.11/0.39 fof(f52,definition,(
% 0.11/0.39 ![X1,X2]: (sQ7_spl <=> (~reachable(initial_world,X1)|~reachable(sK4_skl(X1),X2)|reachable(X2,sK5_skl(X2,X1))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f53,plain,(
% 0.11/0.39 ![X0,X1]: (~reachable(initial_world,X0)|~reachable(sK4_skl(X0),X1)|reachable(X1,sK5_skl(X1,X0))|~sQ7_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.39 fof(f55,plain,(
% 0.11/0.39 sQ5_spl|sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f19,f45,f52])).
% 0.11/0.39 fof(f56,definition,(
% 0.11/0.39 ![X1,X2]: (sQ8_spl <=> (~reachable(initial_world,X1)|~reachable(sK4_skl(X1),X2)|~p(sK5_skl(X2,X1))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f57,plain,(
% 0.11/0.39 ![X0,X1]: (~reachable(initial_world,X0)|~reachable(sK4_skl(X0),X1)|~p(sK5_skl(X1,X0))|~sQ8_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f56])).
% 0.11/0.39 fof(f59,plain,(
% 0.11/0.39 sQ5_spl|sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f20,f45,f56])).
% 0.11/0.39 fof(f60,definition,(
% 0.11/0.39 ![X0]: (sQ9_spl <=> (~reachable(initial_world,X0)|~p(sK3_skl(X0))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f61,plain,(
% 0.11/0.39 ![X0]: (~reachable(initial_world,X0)|~p(sK3_skl(X0))|~sQ9_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.39 fof(f63,plain,(
% 0.11/0.39 sQ9_spl|sQ6_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f21,f60,f48])).
% 0.11/0.39 fof(f64,plain,(
% 0.11/0.39 sQ9_spl|sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f22,f60,f52])).
% 0.11/0.39 fof(f65,plain,(
% 0.11/0.39 sQ9_spl|sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f23,f60,f56])).
% 0.11/0.39 fof(f66,plain,(
% 0.11/0.39 ~p(sK3_skl(sK0_skl))|~sQ9_spl|~sQ0_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f61,f25])).
% 0.11/0.39 fof(f71,plain,(
% 0.11/0.39 reachable(sK0_skl,sK3_skl(sK0_skl))|~sQ5_spl|~sQ0_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f46,f25])).
% 0.11/0.39 fof(f73,plain,(
% 0.11/0.39 p(sK3_skl(sK0_skl))|~sQ5_spl|~sQ0_spl|~sQ4_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f71,f40])).
% 0.11/0.39 fof(f75,plain,(
% 0.11/0.39 $false|~sQ9_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f73,f66])).
% 0.11/0.39 fof(f76,plain,(
% 0.11/0.39 ~sQ9_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f75])).
% 0.11/0.39 fof(f85,plain,(
% 0.11/0.39 reachable(sK1_skl,sK2_skl(sK1_skl))|~sQ2_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f32,f5])).
% 0.11/0.39 fof(f89,plain,(
% 0.11/0.39 ![X0]: (~reachable(X0,sK1_skl)|reachable(X0,sK2_skl(sK1_skl))|~sQ2_spl)),
% 0.11/0.39 inference(resolution,[status(thm)],[f85,f8])).
% 0.11/0.39 fof(f100,definition,(
% 0.11/0.39 sQ10_spl <=> (reachable(sK1_skl,sK1_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f102,plain,(
% 0.11/0.39 ~reachable(sK1_skl,sK1_skl)|sQ10_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f100])).
% 0.11/0.39 fof(f107,plain,(
% 0.11/0.39 $false|sQ10_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f102,f5])).
% 0.11/0.39 fof(f108,plain,(
% 0.11/0.39 sQ10_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f107])).
% 0.11/0.39 fof(f109,plain,(
% 0.11/0.39 reachable(initial_world,sK2_skl(sK1_skl))|~sQ2_spl|~sQ1_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f89,f28])).
% 0.11/0.39 fof(f114,plain,(
% 0.11/0.39 reachable(sK2_skl(sK1_skl),sK3_skl(sK2_skl(sK1_skl)))|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f109,f46])).
% 0.11/0.39 fof(f115,plain,(
% 0.11/0.39 ~p(sK3_skl(sK2_skl(sK1_skl)))|~sQ2_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f109,f61])).
% 0.11/0.39 fof(f119,plain,(
% 0.11/0.39 ~reachable(sK1_skl,sK1_skl)|p(sK3_skl(sK2_skl(sK1_skl)))|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f114,f36])).
% 0.11/0.39 fof(f121,definition,(
% 0.11/0.39 sQ12_spl <=> (p(sK3_skl(sK2_skl(sK1_skl))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f122,plain,(
% 0.11/0.39 p(sK3_skl(sK2_skl(sK1_skl)))|~sQ12_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.11/0.39 fof(f124,plain,(
% 0.11/0.39 ~sQ10_spl|sQ12_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f119,f100,f121,f31,f27,f45,f35])).
% 0.11/0.39 fof(f125,plain,(
% 0.11/0.39 $false|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ12_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f122,f115])).
% 0.11/0.39 fof(f126,plain,(
% 0.11/0.39 ~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ12_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f125])).
% 0.11/0.39 fof(f130,plain,(
% 0.11/0.39 reachable(sK0_skl,sK4_skl(sK0_skl))|~sQ6_spl|~sQ0_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f49,f25])).
% 0.11/0.39 fof(f131,plain,(
% 0.11/0.39 reachable(initial_world,sK4_skl(initial_world))|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f49,f5])).
% 0.11/0.39 fof(f134,plain,(
% 0.11/0.39 ![X0]: (~reachable(initial_world,X0)|reachable(sK4_skl(X0),sK5_skl(sK4_skl(X0),X0))|~sQ7_spl)),
% 0.11/0.39 inference(resolution,[status(thm)],[f53,f5])).
% 0.11/0.39 fof(f135,plain,(
% 0.11/0.39 ![X0]: (~reachable(initial_world,X0)|~p(sK5_skl(sK4_skl(X0),X0))|~sQ8_spl)),
% 0.11/0.39 inference(resolution,[status(thm)],[f57,f5])).
% 0.11/0.39 fof(f136,plain,(
% 0.11/0.39 reachable(sK4_skl(initial_world),sK4_skl(sK4_skl(initial_world)))|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f131,f49])).
% 0.11/0.39 fof(f138,plain,(
% 0.11/0.39 reachable(sK4_skl(sK4_skl(initial_world)),sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)))|~sQ7_spl|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f134,f131])).
% 0.11/0.39 fof(f139,plain,(
% 0.11/0.39 reachable(sK4_skl(sK0_skl),sK5_skl(sK4_skl(sK0_skl),sK0_skl))|~sQ7_spl|~sQ0_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f134,f25])).
% 0.11/0.39 fof(f140,plain,(
% 0.11/0.39 reachable(sK4_skl(initial_world),sK5_skl(sK4_skl(initial_world),initial_world))|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f134,f5])).
% 0.11/0.39 fof(f143,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|~p(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world))|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f136,f57])).
% 0.11/0.39 fof(f144,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|reachable(sK4_skl(sK4_skl(initial_world)),sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world))|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f136,f53])).
% 0.11/0.39 fof(f145,plain,(
% 0.11/0.39 ![X0]: (~reachable(X0,sK4_skl(initial_world))|reachable(X0,sK4_skl(sK4_skl(initial_world)))|~sQ6_spl)),
% 0.11/0.39 inference(resolution,[status(thm)],[f136,f8])).
% 0.11/0.39 fof(f146,definition,(
% 0.11/0.39 sQ13_spl <=> (reachable(initial_world,initial_world))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f148,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|sQ13_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f146])).
% 0.11/0.39 fof(f149,definition,(
% 0.11/0.39 sQ14_spl <=> (p(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f152,plain,(
% 0.11/0.39 ~sQ13_spl|~sQ14_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f143,f146,f149,f48,f56])).
% 0.11/0.39 fof(f153,definition,(
% 0.11/0.39 sQ15_spl <=> (reachable(sK4_skl(sK4_skl(initial_world)),sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f154,plain,(
% 0.11/0.39 reachable(sK4_skl(sK4_skl(initial_world)),sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world))|~sQ15_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f153])).
% 0.11/0.39 fof(f156,plain,(
% 0.11/0.39 ~sQ13_spl|sQ15_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f144,f146,f153,f48,f52])).
% 0.11/0.39 fof(f157,plain,(
% 0.11/0.39 $false|sQ13_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f148,f5])).
% 0.11/0.39 fof(f158,plain,(
% 0.11/0.39 sQ13_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f157])).
% 0.11/0.39 fof(f159,plain,(
% 0.11/0.39 reachable(sK4_skl(initial_world),sK3_skl(sK4_skl(initial_world)))|~sQ5_spl|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f46,f131])).
% 0.11/0.39 fof(f181,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|~p(sK5_skl(sK3_skl(sK4_skl(initial_world)),initial_world))|~sQ5_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f159,f57])).
% 0.11/0.39 fof(f182,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|reachable(sK3_skl(sK4_skl(initial_world)),sK5_skl(sK3_skl(sK4_skl(initial_world)),initial_world))|~sQ5_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f159,f53])).
% 0.11/0.39 fof(f184,definition,(
% 0.11/0.39 sQ16_spl <=> (p(sK5_skl(sK3_skl(sK4_skl(initial_world)),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f187,plain,(
% 0.11/0.39 ~sQ13_spl|~sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f181,f146,f184,f45,f48,f56])).
% 0.11/0.39 fof(f188,definition,(
% 0.11/0.39 sQ17_spl <=> (reachable(sK3_skl(sK4_skl(initial_world)),sK5_skl(sK3_skl(sK4_skl(initial_world)),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f191,plain,(
% 0.11/0.39 ~sQ13_spl|sQ17_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f182,f146,f188,f45,f48,f52])).
% 0.11/0.39 fof(f215,plain,(
% 0.11/0.39 reachable(sK1_skl,sK4_skl(sK1_skl))|~sQ1_spl|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f28,f49])).
% 0.11/0.39 fof(f226,plain,(
% 0.11/0.39 reachable(sK4_skl(sK1_skl),sK2_skl(sK4_skl(sK1_skl)))|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f32,f215])).
% 0.11/0.39 fof(f230,plain,(
% 0.11/0.39 ~reachable(initial_world,sK4_skl(initial_world))|~p(sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK4_skl(initial_world)))|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f138,f57])).
% 0.11/0.39 fof(f231,plain,(
% 0.11/0.39 ~reachable(initial_world,sK4_skl(initial_world))|reachable(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK4_skl(initial_world)))|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f138,f53])).
% 0.11/0.39 fof(f232,plain,(
% 0.11/0.39 ![X0]: (~reachable(X0,sK4_skl(sK4_skl(initial_world)))|reachable(X0,sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)))|~sQ7_spl|~sQ6_spl)),
% 0.11/0.39 inference(resolution,[status(thm)],[f138,f8])).
% 0.11/0.39 fof(f233,definition,(
% 0.11/0.39 sQ22_spl <=> (reachable(initial_world,sK4_skl(initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f235,plain,(
% 0.11/0.39 ~reachable(initial_world,sK4_skl(initial_world))|sQ22_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f233])).
% 0.11/0.39 fof(f236,definition,(
% 0.11/0.39 sQ23_spl <=> (p(sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK4_skl(initial_world))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f239,plain,(
% 0.11/0.39 ~sQ22_spl|~sQ23_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f230,f233,f236,f52,f48,f56])).
% 0.11/0.39 fof(f240,definition,(
% 0.11/0.39 sQ24_spl <=> (reachable(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK4_skl(initial_world))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f243,plain,(
% 0.11/0.39 ~sQ22_spl|sQ24_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f231,f233,f240,f48,f52])).
% 0.11/0.39 fof(f244,plain,(
% 0.11/0.39 $false|~sQ6_spl|sQ22_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f235,f131])).
% 0.11/0.39 fof(f245,plain,(
% 0.11/0.39 ~sQ6_spl|sQ22_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f244])).
% 0.11/0.39 fof(f246,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|~p(sK5_skl(sK5_skl(sK4_skl(initial_world),initial_world),initial_world))|~sQ7_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f140,f57])).
% 0.11/0.39 fof(f247,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|reachable(sK5_skl(sK4_skl(initial_world),initial_world),sK5_skl(sK5_skl(sK4_skl(initial_world),initial_world),initial_world))|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f140,f53])).
% 0.11/0.39 fof(f249,definition,(
% 0.11/0.39 sQ25_spl <=> (p(sK5_skl(sK5_skl(sK4_skl(initial_world),initial_world),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f252,plain,(
% 0.11/0.39 ~sQ13_spl|~sQ25_spl|~sQ7_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f246,f146,f249,f52,f56])).
% 0.11/0.39 fof(f253,definition,(
% 0.11/0.39 sQ26_spl <=> (reachable(sK5_skl(sK4_skl(initial_world),initial_world),sK5_skl(sK5_skl(sK4_skl(initial_world),initial_world),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f256,plain,(
% 0.11/0.39 ~sQ13_spl|sQ26_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f247,f146,f253,f52])).
% 0.11/0.39 fof(f275,plain,(
% 0.11/0.39 ~reachable(initial_world,sK1_skl)|~p(sK5_skl(sK2_skl(sK4_skl(sK1_skl)),sK1_skl))|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f226,f57])).
% 0.11/0.39 fof(f276,plain,(
% 0.11/0.39 ~reachable(initial_world,sK1_skl)|reachable(sK2_skl(sK4_skl(sK1_skl)),sK5_skl(sK2_skl(sK4_skl(sK1_skl)),sK1_skl))|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f226,f53])).
% 0.11/0.39 fof(f278,definition,(
% 0.11/0.39 sQ29_spl <=> (p(sK5_skl(sK2_skl(sK4_skl(sK1_skl)),sK1_skl)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f281,plain,(
% 0.11/0.39 ~sQ1_spl|~sQ29_spl|~sQ2_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f275,f27,f278,f31,f48,f56])).
% 0.11/0.39 fof(f282,definition,(
% 0.11/0.39 sQ30_spl <=> (reachable(sK2_skl(sK4_skl(sK1_skl)),sK5_skl(sK2_skl(sK4_skl(sK1_skl)),sK1_skl)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f283,plain,(
% 0.11/0.39 reachable(sK2_skl(sK4_skl(sK1_skl)),sK5_skl(sK2_skl(sK4_skl(sK1_skl)),sK1_skl))|~sQ30_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f282])).
% 0.11/0.39 fof(f285,plain,(
% 0.11/0.39 ~sQ1_spl|sQ30_spl|~sQ2_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f276,f27,f282,f31,f48,f52])).
% 0.11/0.39 fof(f290,plain,(
% 0.11/0.39 reachable(initial_world,sK4_skl(sK4_skl(initial_world)))|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f145,f131])).
% 0.11/0.39 fof(f293,plain,(
% 0.11/0.39 reachable(sK4_skl(sK4_skl(initial_world)),sK4_skl(sK4_skl(sK4_skl(initial_world))))|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f290,f49])).
% 0.11/0.39 fof(f301,plain,(
% 0.11/0.39 ~reachable(initial_world,sK4_skl(initial_world))|~p(sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world),sK4_skl(initial_world)))|~sQ15_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f154,f57])).
% 0.11/0.39 fof(f302,plain,(
% 0.11/0.39 ~reachable(initial_world,sK4_skl(initial_world))|reachable(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world),sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world),sK4_skl(initial_world)))|~sQ15_spl|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f154,f53])).
% 0.11/0.39 fof(f304,definition,(
% 0.11/0.39 sQ32_spl <=> (p(sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world),sK4_skl(initial_world))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f307,plain,(
% 0.11/0.39 ~sQ22_spl|~sQ32_spl|~sQ15_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f301,f233,f304,f153,f56])).
% 0.11/0.39 fof(f308,definition,(
% 0.11/0.39 sQ33_spl <=> (reachable(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world),sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),initial_world),sK4_skl(initial_world))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f311,plain,(
% 0.11/0.39 ~sQ22_spl|sQ33_spl|~sQ15_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f302,f233,f308,f153,f52])).
% 0.11/0.39 fof(f333,plain,(
% 0.11/0.39 reachable(sK4_skl(initial_world),sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)))|~sQ7_spl|~sQ6_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f232,f136])).
% 0.11/0.39 fof(f369,plain,(
% 0.11/0.39 ~reachable(initial_world,sK4_skl(initial_world))|~p(sK5_skl(sK4_skl(sK4_skl(sK4_skl(initial_world))),sK4_skl(initial_world)))|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f293,f57])).
% 0.11/0.39 fof(f370,plain,(
% 0.11/0.39 ~reachable(initial_world,sK4_skl(initial_world))|reachable(sK4_skl(sK4_skl(sK4_skl(initial_world))),sK5_skl(sK4_skl(sK4_skl(sK4_skl(initial_world))),sK4_skl(initial_world)))|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f293,f53])).
% 0.11/0.39 fof(f372,definition,(
% 0.11/0.39 sQ36_spl <=> (p(sK5_skl(sK4_skl(sK4_skl(sK4_skl(initial_world))),sK4_skl(initial_world))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f375,plain,(
% 0.11/0.39 ~sQ22_spl|~sQ36_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f369,f233,f372,f48,f56])).
% 0.11/0.39 fof(f376,definition,(
% 0.11/0.39 sQ37_spl <=> (reachable(sK4_skl(sK4_skl(sK4_skl(initial_world))),sK5_skl(sK4_skl(sK4_skl(sK4_skl(initial_world))),sK4_skl(initial_world))))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f379,plain,(
% 0.11/0.39 ~sQ22_spl|sQ37_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f370,f233,f376,f48,f52])).
% 0.11/0.39 fof(f392,plain,(
% 0.11/0.39 ~reachable(sK1_skl,sK4_skl(sK1_skl))|p(sK5_skl(sK2_skl(sK4_skl(sK1_skl)),sK1_skl))|~sQ30_spl|~sQ3_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f283,f36])).
% 0.11/0.39 fof(f394,definition,(
% 0.11/0.39 sQ38_spl <=> (reachable(sK1_skl,sK4_skl(sK1_skl)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f396,plain,(
% 0.11/0.39 ~reachable(sK1_skl,sK4_skl(sK1_skl))|sQ38_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f394])).
% 0.11/0.39 fof(f397,plain,(
% 0.11/0.39 ~sQ38_spl|sQ29_spl|~sQ30_spl|~sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f392,f394,f278,f282,f35])).
% 0.11/0.39 fof(f398,plain,(
% 0.11/0.39 $false|~sQ1_spl|~sQ6_spl|sQ38_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f396,f215])).
% 0.11/0.39 fof(f399,plain,(
% 0.11/0.39 ~sQ1_spl|~sQ6_spl|sQ38_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f398])).
% 0.11/0.39 fof(f420,plain,(
% 0.11/0.39 ![X0]: (~reachable(X0,sK4_skl(sK0_skl))|reachable(X0,sK5_skl(sK4_skl(sK0_skl),sK0_skl))|~sQ7_spl|~sQ0_spl)),
% 0.11/0.39 inference(resolution,[status(thm)],[f139,f8])).
% 0.11/0.39 fof(f446,plain,(
% 0.11/0.39 reachable(sK0_skl,sK5_skl(sK4_skl(sK0_skl),sK0_skl))|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f420,f130])).
% 0.11/0.39 fof(f470,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|~p(sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),initial_world))|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f333,f57])).
% 0.11/0.39 fof(f471,plain,(
% 0.11/0.39 ~reachable(initial_world,initial_world)|reachable(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),initial_world))|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f333,f53])).
% 0.11/0.39 fof(f473,definition,(
% 0.11/0.39 sQ44_spl <=> (p(sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f476,plain,(
% 0.11/0.39 ~sQ13_spl|~sQ44_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f470,f146,f473,f52,f48,f56])).
% 0.11/0.39 fof(f477,definition,(
% 0.11/0.39 sQ45_spl <=> (reachable(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),sK5_skl(sK5_skl(sK4_skl(sK4_skl(initial_world)),sK4_skl(initial_world)),initial_world)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f480,plain,(
% 0.11/0.39 ~sQ13_spl|sQ45_spl|~sQ6_spl|~sQ7_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f471,f146,f477,f48,f52])).
% 0.11/0.39 fof(f508,plain,(
% 0.11/0.39 p(sK5_skl(sK4_skl(sK0_skl),sK0_skl))|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ4_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f446,f40])).
% 0.11/0.39 fof(f510,plain,(
% 0.11/0.39 ~reachable(initial_world,sK0_skl)|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ4_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f508,f135])).
% 0.11/0.39 fof(f511,plain,(
% 0.11/0.39 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f510,f24,f52,f48,f39,f56])).
% 0.11/0.39 fof(f512,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f30,f34,f38,f42,f43,f44,f51,f55,f59,f63,f64,f65,f76,f108,f124,f126,f152,f156,f158,f187,f191,f239,f243,f245,f252,f256,f281,f285,f307,f311,f375,f379,f397,f399,f476,f480,f511])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.033843 seconds
% 0.11/0.41 % CPU time: 0.103471 seconds
% 0.11/0.41 % Total memory used: 10.453 MB
% 0.11/0.41 % Net memory used: 10.248 MB
%------------------------------------------------------------------------------