%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN548+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 : 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 03:20:07 PM UTC 2026
% Result : Theorem 14.65s 12.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN548+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
% 0.16/10.44 % Computer : n010.cluster.edu
% 0.16/10.44 % Model : x86_64 x86_64
% 0.16/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.44 % Memory : 8046.5625MB
% 0.16/10.44 % OS : Linux 6.8.0-71-generic
% 0.16/10.45 % CPULimit : 300
% 0.16/10.45 % WCLimit : 300
% 0.16/10.45 % DateTime : Mon Sep 21 11:07:50 UTC 2026
% 0.16/10.45 % CPUTime :
% 0.16/10.46 % Drodi V4.1.1
% 14.65/12.39 % Refutation found
% 14.65/12.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.65/12.39 % SZS output start CNFRefutation for theBenchmark
% 14.65/12.39 fof(f1,axiom,(
% 14.65/12.39 (! [X] : reachable(X,X) )),
% 14.65/12.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.65/12.39 fof(f2,axiom,(
% 14.65/12.39 (! [X,Y,Z] :( ( reachable(X,Y)& reachable(Y,Z) )=> reachable(X,Z) ) )),
% 14.65/12.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.65/12.39 fof(f3,conjecture,(
% 14.65/12.39 (? [X] :( reachable(initial_world,X)& (! [Y] :( reachable(X,Y)=> ( (! [Z] :( reachable(Y,Z)=> ( p(Z)| (! [V] :( reachable(Z,V)=> q(V) ) )) ))<=> ( (! [W] :( reachable(Y,W)=> p(W) ))| (! [W] :( reachable(Y,W)=> q(W) ) )) ) ) )) )),
% 14.65/12.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.65/12.39 fof(f4,negated_conjecture,(
% 14.65/12.39 ~((? [X] :( reachable(initial_world,X)& (! [Y] :( reachable(X,Y)=> ( (! [Z] :( reachable(Y,Z)=> ( p(Z)| (! [V] :( reachable(Z,V)=> q(V) ) )) ))<=> ( (! [W] :( reachable(Y,W)=> p(W) ))| (! [W] :( reachable(Y,W)=> q(W) ) )) ) ) )) ))),
% 14.65/12.39 inference(negated_conjecture,[status(cth)],[f3])).
% 14.65/12.39 fof(f5,plain,(
% 14.65/12.39 ![X0]: (reachable(X0,X0))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f1])).
% 14.65/12.39 fof(f6,plain,(
% 14.65/12.39 ![X,Y,Z]: ((~reachable(X,Y)|~reachable(Y,Z))|reachable(X,Z))),
% 14.65/12.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 14.65/12.39 fof(f7,plain,(
% 14.65/12.39 ![X,Z]: ((![Y]: (~reachable(X,Y)|~reachable(Y,Z)))|reachable(X,Z))),
% 14.65/12.39 inference(miniscoping,[status(thm)],[f6])).
% 14.65/12.39 fof(f8,plain,(
% 14.65/12.39 ![X0,X1,X2]: (~reachable(X0,X1)|~reachable(X1,X2)|reachable(X0,X2))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f7])).
% 14.65/12.39 fof(f9,plain,(
% 14.65/12.39 (![X]: (~reachable(initial_world,X)|(?[Y]: (reachable(X,Y)&((![Z]: (~reachable(Y,Z)|(p(Z)|(![V]: (~reachable(Z,V)|q(V))))))<~>((![W]: (~reachable(Y,W)|p(W)))|(![W]: (~reachable(Y,W)|q(W)))))))))),
% 14.65/12.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 14.65/12.39 fof(f10,definition,(
% 14.65/12.39 ![Y,Z]: (sP0_prd(Z,Y)<=>(~reachable(Y,Z)|(p(Z)|(![V]: (~reachable(Z,V)|q(V))))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 14.65/12.39 fof(f11,plain,(
% 14.65/12.39 ![X]: (~reachable(initial_world,X)|(?[Y]: (reachable(X,Y)&((![Z]: sP0_prd(Z,Y))<~>((![W]: (~reachable(Y,W)|p(W)))|(![W]: (~reachable(Y,W)|q(W))))))))),
% 14.65/12.39 inference(formula_renaming,[status(thm)],[f9,f10])).
% 14.65/12.39 fof(f12,plain,(
% 14.65/12.39 ![X]: (~reachable(initial_world,X)|(?[Y]: (reachable(X,Y)&(((![Z]: sP0_prd(Z,Y))|((![W]: (~reachable(Y,W)|p(W)))|(![W]: (~reachable(Y,W)|q(W)))))&((?[Z]: ~sP0_prd(Z,Y))|((?[W]: (reachable(Y,W)&~p(W)))&(?[W]: (reachable(Y,W)&~q(W)))))))))),
% 14.65/12.39 inference(NNF_transformation,[status(thm)],[f11])).
% 14.65/12.39 fof(f13,plain,(
% 14.65/12.39 ![X]: (~reachable(initial_world,X)|(reachable(X,sK0_skl(X))&(((![Z]: sP0_prd(Z,sK0_skl(X)))|((![W]: (~reachable(sK0_skl(X),W)|p(W)))|(![W]: (~reachable(sK0_skl(X),W)|q(W)))))&(~sP0_prd(sK1_skl(X),sK0_skl(X))|((reachable(sK0_skl(X),sK2_skl(X))&~p(sK2_skl(X)))&(reachable(sK0_skl(X),sK3_skl(X))&~q(sK3_skl(X))))))))),
% 14.65/12.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(W,sK2_skl(X)),skolemize(W,sK3_skl(X))],[f12])).
% 14.65/12.39 fof(f14,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|reachable(X0,sK0_skl(X0)))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f13])).
% 14.65/12.39 fof(f15,plain,(
% 14.65/12.39 ![X0,X1,X2,X3]: (~reachable(initial_world,X0)|sP0_prd(X1,sK0_skl(X0))|~reachable(sK0_skl(X0),X2)|p(X2)|~reachable(sK0_skl(X0),X3)|q(X3))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f13])).
% 14.65/12.39 fof(f16,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~sP0_prd(sK1_skl(X0),sK0_skl(X0))|reachable(sK0_skl(X0),sK2_skl(X0)))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f13])).
% 14.65/12.39 fof(f17,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~sP0_prd(sK1_skl(X0),sK0_skl(X0))|~p(sK2_skl(X0)))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f13])).
% 14.65/12.39 fof(f18,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~sP0_prd(sK1_skl(X0),sK0_skl(X0))|reachable(sK0_skl(X0),sK3_skl(X0)))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f13])).
% 14.65/12.39 fof(f19,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~sP0_prd(sK1_skl(X0),sK0_skl(X0))|~q(sK3_skl(X0)))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f13])).
% 14.65/12.39 fof(f20,plain,(
% 14.65/12.39 ![Y,Z]: ((~sP0_prd(Z,Y)|(~reachable(Y,Z)|(p(Z)|(![V]: (~reachable(Z,V)|q(V))))))&(sP0_prd(Z,Y)|(reachable(Y,Z)&(~p(Z)&(?[V]: (reachable(Z,V)&~q(V)))))))),
% 14.65/12.39 inference(NNF_transformation,[status(thm)],[f10])).
% 14.65/12.39 fof(f21,plain,(
% 14.65/12.39 (![Y,Z]: (~sP0_prd(Z,Y)|(~reachable(Y,Z)|(p(Z)|(![V]: (~reachable(Z,V)|q(V)))))))&(![Y,Z]: (sP0_prd(Z,Y)|(reachable(Y,Z)&(~p(Z)&(?[V]: (reachable(Z,V)&~q(V)))))))),
% 14.65/12.39 inference(miniscoping,[status(thm)],[f20])).
% 14.65/12.39 fof(f22,plain,(
% 14.65/12.39 (![Y,Z]: (~sP0_prd(Z,Y)|(~reachable(Y,Z)|(p(Z)|(![V]: (~reachable(Z,V)|q(V)))))))&(![Y,Z]: (sP0_prd(Z,Y)|(reachable(Y,Z)&(~p(Z)&(reachable(Z,sK4_skl(Z,Y))&~q(sK4_skl(Z,Y)))))))),
% 14.65/12.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(Z,Y))],[f21])).
% 14.65/12.39 fof(f23,plain,(
% 14.65/12.39 ![X0,X1,X2]: (~sP0_prd(X0,X1)|~reachable(X1,X0)|p(X0)|~reachable(X0,X2)|q(X2))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f22])).
% 14.65/12.39 fof(f24,plain,(
% 14.65/12.39 ![X0,X1]: (sP0_prd(X0,X1)|reachable(X1,X0))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f22])).
% 14.65/12.39 fof(f25,plain,(
% 14.65/12.39 ![X0,X1]: (sP0_prd(X0,X1)|~p(X0))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f22])).
% 14.65/12.39 fof(f26,plain,(
% 14.65/12.39 ![X0,X1]: (sP0_prd(X0,X1)|reachable(X0,sK4_skl(X0,X1)))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f22])).
% 14.65/12.39 fof(f27,plain,(
% 14.65/12.39 ![X0,X1]: (sP0_prd(X0,X1)|~q(sK4_skl(X0,X1)))),
% 14.65/12.39 inference(cnf_transformation,[status(thm)],[f22])).
% 14.65/12.39 fof(f28,plain,(
% 14.65/12.39 reachable(initial_world,sK0_skl(initial_world))),
% 14.65/12.39 inference(resolution,[status(thm)],[f5,f14])).
% 14.65/12.39 fof(f29,plain,(
% 14.65/12.39 reachable(sK0_skl(initial_world),sK0_skl(sK0_skl(initial_world)))),
% 14.65/12.39 inference(resolution,[status(thm)],[f28,f14])).
% 14.65/12.39 fof(f31,plain,(
% 14.65/12.39 ![X0,X1]: (~reachable(initial_world,X0)|~reachable(X0,X1)|reachable(X1,sK0_skl(X1)))),
% 14.65/12.39 inference(resolution,[status(thm)],[f8,f14])).
% 14.65/12.39 fof(f32,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,initial_world)|reachable(sK0_skl(initial_world),sK0_skl(sK0_skl(initial_world))))),
% 14.65/12.39 inference(resolution,[status(thm)],[f31,f14])).
% 14.65/12.39 fof(f33,definition,(
% 14.65/12.39 ![X0]: (sQ0_spl <=> (~reachable(initial_world,X0)|~reachable(X0,initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f34,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,initial_world)|~sQ0_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f33])).
% 14.65/12.39 fof(f36,definition,(
% 14.65/12.39 sQ1_spl <=> (reachable(sK0_skl(initial_world),sK0_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f39,plain,(
% 14.65/12.39 sQ0_spl|sQ1_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f32,f33,f36])).
% 14.65/12.39 fof(f40,plain,(
% 14.65/12.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|reachable(sK0_skl(X0),sK2_skl(X0))|~reachable(initial_world,X0)|~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(sK0_skl(X0),X2)|q(X2))),
% 14.65/12.39 inference(resolution,[status(thm)],[f16,f15])).
% 14.65/12.39 fof(f41,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|reachable(sK0_skl(X0),sK2_skl(X0))|reachable(sK0_skl(X0),sK1_skl(X0)))),
% 14.65/12.39 inference(resolution,[status(thm)],[f16,f24])).
% 14.65/12.39 fof(f42,plain,(
% 14.65/12.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|reachable(sK0_skl(X0),sK2_skl(X0))|~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(sK0_skl(X0),X2)|q(X2))),
% 14.65/12.39 inference(duplicate_literals_removal,[status(thm)],[f40])).
% 14.65/12.39 fof(f44,plain,(
% 14.65/12.39 ~reachable(initial_world,initial_world)|~sQ0_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f34,f5])).
% 14.65/12.39 fof(f45,plain,(
% 14.65/12.39 $false|~sQ0_spl),
% 14.65/12.39 inference(forward_subsumption_resolution,[status(thm)],[f44,f5])).
% 14.65/12.39 fof(f46,plain,(
% 14.65/12.39 ~sQ0_spl),
% 14.65/12.39 inference(contradiction_clause,[status(thm)],[f45])).
% 14.65/12.39 fof(f47,plain,(
% 14.65/12.39 ![X0,X1,X2,X3,X4]: (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(initial_world,X0)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4))),
% 14.65/12.39 inference(resolution,[status(thm)],[f23,f15])).
% 14.65/12.39 fof(f49,plain,(
% 14.65/12.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|reachable(sK0_skl(X0),sK3_skl(X0))|~reachable(initial_world,X0)|~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(sK0_skl(X0),X2)|q(X2))),
% 14.65/12.39 inference(resolution,[status(thm)],[f18,f15])).
% 14.65/12.39 fof(f50,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|reachable(sK0_skl(X0),sK3_skl(X0))|reachable(sK0_skl(X0),sK1_skl(X0)))),
% 14.65/12.39 inference(resolution,[status(thm)],[f18,f24])).
% 14.65/12.39 fof(f51,plain,(
% 14.65/12.39 ![X0,X1,X2]: (~reachable(initial_world,X0)|reachable(sK0_skl(X0),sK3_skl(X0))|~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(sK0_skl(X0),X2)|q(X2))),
% 14.65/12.39 inference(duplicate_literals_removal,[status(thm)],[f49])).
% 14.65/12.39 fof(f52,plain,(
% 14.65/12.39 ![X0,X1,X2,X3]: (~reachable(sK0_skl(sK0_skl(initial_world)),X0)|p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK0_skl(sK0_skl(initial_world)),X2)|p(X2)|~reachable(sK0_skl(sK0_skl(initial_world)),X3)|q(X3))),
% 14.65/12.39 inference(resolution,[status(thm)],[f47,f28])).
% 14.65/12.39 fof(f55,plain,(
% 14.65/12.39 ![X0,X1,X2,X3,X4,X5]: (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4)|~reachable(initial_world,X5)|~reachable(X5,X0))),
% 14.65/12.39 inference(resolution,[status(thm)],[f47,f8])).
% 14.65/12.39 fof(f56,plain,(
% 14.65/12.39 ![X0,X1,X2,X3]: (~reachable(sK0_skl(initial_world),X0)|p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK0_skl(initial_world),X2)|p(X2)|~reachable(sK0_skl(initial_world),X3)|q(X3))),
% 14.65/12.39 inference(resolution,[status(thm)],[f47,f5])).
% 14.65/12.39 fof(f57,definition,(
% 14.65/12.39 ![X0,X1]: (sQ2_spl <=> (~reachable(sK0_skl(sK0_skl(initial_world)),X0)|p(X0)|~reachable(X0,X1)|q(X1)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f58,plain,(
% 14.65/12.39 ![X0,X1]: (~reachable(sK0_skl(sK0_skl(initial_world)),X0)|p(X0)|~reachable(X0,X1)|q(X1)|~sQ2_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f57])).
% 14.65/12.39 fof(f60,definition,(
% 14.65/12.39 ![X2]: (sQ3_spl <=> (~reachable(sK0_skl(sK0_skl(initial_world)),X2)|p(X2)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f61,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK0_skl(sK0_skl(initial_world)),X0)|p(X0)|~sQ3_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f60])).
% 14.65/12.39 fof(f63,definition,(
% 14.65/12.39 ![X3]: (sQ4_spl <=> (~reachable(sK0_skl(sK0_skl(initial_world)),X3)|q(X3)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f64,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK0_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ4_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f63])).
% 14.65/12.39 fof(f66,plain,(
% 14.65/12.39 sQ2_spl|sQ3_spl|sQ4_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f52,f57,f60,f63])).
% 14.65/12.39 fof(f68,definition,(
% 14.65/12.39 ![X0,X1]: (sQ5_spl <=> (~reachable(sK0_skl(initial_world),X0)|p(X0)|~reachable(X0,X1)|q(X1)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f69,plain,(
% 14.65/12.39 ![X0,X1]: (~reachable(sK0_skl(initial_world),X0)|p(X0)|~reachable(X0,X1)|q(X1)|~sQ5_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f68])).
% 14.65/12.39 fof(f71,definition,(
% 14.65/12.39 ![X2]: (sQ6_spl <=> (~reachable(sK0_skl(initial_world),X2)|p(X2)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f72,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK0_skl(initial_world),X0)|p(X0)|~sQ6_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f71])).
% 14.65/12.39 fof(f74,definition,(
% 14.65/12.39 ![X3]: (sQ7_spl <=> (~reachable(sK0_skl(initial_world),X3)|q(X3)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f75,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK0_skl(initial_world),X0)|q(X0)|~sQ7_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f74])).
% 14.65/12.39 fof(f77,plain,(
% 14.65/12.39 sQ5_spl|sQ6_spl|sQ7_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f56,f68,f71,f74])).
% 14.65/12.39 fof(f115,plain,(
% 14.65/12.39 ![X0,X1]: (q(X0)|~reachable(sK0_skl(initial_world),X1)|~reachable(X1,X0)|~sQ7_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f75,f8])).
% 14.65/12.39 fof(f120,definition,(
% 14.65/12.39 sQ9_spl <=> (reachable(initial_world,initial_world))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f122,plain,(
% 14.65/12.39 ~reachable(initial_world,initial_world)|sQ9_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f120])).
% 14.65/12.39 fof(f131,definition,(
% 14.65/12.39 sQ12_spl <=> (reachable(sK0_skl(initial_world),sK3_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f132,plain,(
% 14.65/12.39 reachable(sK0_skl(initial_world),sK3_skl(initial_world))|~sQ12_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f131])).
% 14.65/12.39 fof(f135,definition,(
% 14.65/12.39 sQ13_spl <=> (reachable(sK0_skl(initial_world),sK2_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f136,plain,(
% 14.65/12.39 reachable(sK0_skl(initial_world),sK2_skl(initial_world))|~sQ13_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f135])).
% 14.65/12.39 fof(f142,definition,(
% 14.65/12.39 ![X0]: (sQ15_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f143,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(initial_world))|~sQ15_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f142])).
% 14.65/12.39 fof(f147,plain,(
% 14.65/12.39 $false|sQ9_spl),
% 14.65/12.39 inference(forward_subsumption_resolution,[status(thm)],[f122,f5])).
% 14.65/12.39 fof(f148,plain,(
% 14.65/12.39 sQ9_spl),
% 14.65/12.39 inference(contradiction_clause,[status(thm)],[f147])).
% 14.65/12.39 fof(f149,plain,(
% 14.65/12.39 ![X0,X1,X2,X3,X4]: (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4)|~reachable(sK0_skl(initial_world),X0))),
% 14.65/12.39 inference(resolution,[status(thm)],[f55,f28])).
% 14.65/12.39 fof(f150,plain,(
% 14.65/12.39 ![X0,X1,X2,X3,X4,X5]: (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4)|~reachable(sK0_skl(initial_world),X0)|~reachable(initial_world,X5)|~reachable(X5,initial_world))),
% 14.65/12.39 inference(resolution,[status(thm)],[f55,f31])).
% 14.65/12.39 fof(f152,plain,(
% 14.65/12.39 ![X0,X1,X2,X3,X4,X5,X6]: (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4)|~reachable(X5,X0)|~reachable(initial_world,X6)|~reachable(X6,X5))),
% 14.65/12.39 inference(resolution,[status(thm)],[f55,f8])).
% 14.65/12.39 fof(f154,definition,(
% 14.65/12.39 ![X0,X1,X2,X3,X4]: (sQ16_spl <=> (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4)|~reachable(sK0_skl(initial_world),X0)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f157,plain,(
% 14.65/12.39 sQ16_spl|sQ0_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f150,f154,f33])).
% 14.65/12.39 fof(f161,plain,(
% 14.65/12.39 p(sK1_skl(initial_world))|~reachable(initial_world,initial_world)|reachable(sK0_skl(initial_world),sK3_skl(initial_world))|~sQ6_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f72,f50])).
% 14.65/12.39 fof(f162,plain,(
% 14.65/12.39 p(sK1_skl(initial_world))|~reachable(initial_world,initial_world)|reachable(sK0_skl(initial_world),sK2_skl(initial_world))|~sQ6_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f72,f41])).
% 14.65/12.39 fof(f163,plain,(
% 14.65/12.39 ![X0]: (p(sK0_skl(sK0_skl(initial_world)))|~reachable(initial_world,X0)|~reachable(X0,sK0_skl(initial_world))|~sQ6_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f72,f31])).
% 14.65/12.39 fof(f167,definition,(
% 14.65/12.39 sQ17_spl <=> (p(sK3_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f171,definition,(
% 14.65/12.39 sQ18_spl <=> (p(sK2_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f172,plain,(
% 14.65/12.39 p(sK2_skl(initial_world))|~sQ18_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f171])).
% 14.65/12.39 fof(f175,definition,(
% 14.65/12.39 sQ19_spl <=> (p(sK1_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f176,plain,(
% 14.65/12.39 p(sK1_skl(initial_world))|~sQ19_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f175])).
% 14.65/12.39 fof(f178,plain,(
% 14.65/12.39 sQ19_spl|~sQ9_spl|sQ12_spl|~sQ6_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f161,f175,f120,f131,f71])).
% 14.65/12.39 fof(f179,plain,(
% 14.65/12.39 sQ19_spl|~sQ9_spl|sQ13_spl|~sQ6_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f162,f175,f120,f135,f71])).
% 14.65/12.39 fof(f180,definition,(
% 14.65/12.39 sQ20_spl <=> (p(sK0_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f183,plain,(
% 14.65/12.39 sQ20_spl|sQ15_spl|~sQ6_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f163,f180,f142,f71])).
% 14.65/12.39 fof(f184,plain,(
% 14.65/12.39 ![X0]: (sP0_prd(sK1_skl(initial_world),X0)|~sQ19_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f176,f25])).
% 14.65/12.39 fof(f185,plain,(
% 14.65/12.39 ~reachable(initial_world,initial_world)|reachable(sK0_skl(initial_world),sK3_skl(initial_world))|~sQ19_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f184,f18])).
% 14.65/12.39 fof(f186,plain,(
% 14.65/12.39 ~reachable(initial_world,initial_world)|reachable(sK0_skl(initial_world),sK2_skl(initial_world))|~sQ19_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f184,f16])).
% 14.65/12.39 fof(f188,plain,(
% 14.65/12.39 ~sQ9_spl|sQ12_spl|~sQ19_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f185,f120,f131,f175])).
% 14.65/12.39 fof(f189,plain,(
% 14.65/12.39 ~sQ9_spl|sQ13_spl|~sQ19_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f186,f120,f135,f175])).
% 14.65/12.39 fof(f209,plain,(
% 14.65/12.39 ![X0,X1]: (q(X0)|~reachable(sK0_skl(sK0_skl(initial_world)),X1)|~reachable(X1,X0)|~sQ4_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f64,f8])).
% 14.65/12.39 fof(f214,definition,(
% 14.65/12.39 sQ25_spl <=> (reachable(initial_world,sK0_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f216,plain,(
% 14.65/12.39 ~reachable(initial_world,sK0_skl(initial_world))|sQ25_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f214])).
% 14.65/12.39 fof(f225,definition,(
% 14.65/12.39 sQ28_spl <=> (reachable(sK0_skl(sK0_skl(initial_world)),sK3_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f226,plain,(
% 14.65/12.39 reachable(sK0_skl(sK0_skl(initial_world)),sK3_skl(sK0_skl(initial_world)))|~sQ28_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f225])).
% 14.65/12.39 fof(f229,definition,(
% 14.65/12.39 sQ29_spl <=> (reachable(sK0_skl(sK0_skl(initial_world)),sK2_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f230,plain,(
% 14.65/12.39 reachable(sK0_skl(sK0_skl(initial_world)),sK2_skl(sK0_skl(initial_world)))|~sQ29_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f229])).
% 14.65/12.39 fof(f236,definition,(
% 14.65/12.39 ![X0]: (sQ31_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK0_skl(initial_world)))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f237,plain,(
% 14.65/12.39 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK0_skl(initial_world)))|~sQ31_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f236])).
% 14.65/12.39 fof(f240,plain,(
% 14.65/12.39 $false|sQ25_spl),
% 14.65/12.39 inference(forward_subsumption_resolution,[status(thm)],[f216,f28])).
% 14.65/12.39 fof(f241,plain,(
% 14.65/12.39 sQ25_spl),
% 14.65/12.39 inference(contradiction_clause,[status(thm)],[f240])).
% 14.65/12.39 fof(f243,plain,(
% 14.65/12.39 ![X0]: (p(sK0_skl(sK0_skl(initial_world)))|~reachable(sK0_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ5_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f69,f29])).
% 14.65/12.39 fof(f245,plain,(
% 14.65/12.39 ![X0,X1,X2]: (p(sK2_skl(initial_world))|~reachable(sK2_skl(initial_world),X0)|q(X0)|~reachable(initial_world,initial_world)|~reachable(sK0_skl(initial_world),X1)|p(X1)|~reachable(sK0_skl(initial_world),X2)|q(X2)|~sQ5_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f69,f42])).
% 14.65/12.39 fof(f250,plain,(
% 14.65/12.39 ![X0,X1,X2]: (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK0_skl(initial_world),X2)|~reachable(X2,X0)|~sQ5_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f69,f8])).
% 14.65/12.39 fof(f251,plain,(
% 14.65/12.39 ![X0]: (p(sK0_skl(initial_world))|~reachable(sK0_skl(initial_world),X0)|q(X0)|~sQ5_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f69,f5])).
% 14.65/12.39 fof(f252,definition,(
% 14.65/12.39 ![X0]: (sQ32_spl <=> (~reachable(sK2_skl(initial_world),X0)|q(X0)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f253,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK2_skl(initial_world),X0)|q(X0)|~sQ32_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f252])).
% 14.65/12.39 fof(f256,plain,(
% 14.65/12.39 sQ20_spl|sQ4_spl|~sQ5_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f243,f180,f63,f68])).
% 14.65/12.39 fof(f257,definition,(
% 14.65/12.39 ![X0]: (sQ33_spl <=> (~reachable(sK3_skl(initial_world),X0)|q(X0)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f258,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK3_skl(initial_world),X0)|q(X0)|~sQ33_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f257])).
% 14.65/12.39 fof(f261,plain,(
% 14.65/12.39 sQ18_spl|sQ32_spl|~sQ9_spl|sQ6_spl|sQ7_spl|~sQ5_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f245,f171,f252,f120,f71,f74,f68])).
% 14.65/12.39 fof(f265,definition,(
% 14.65/12.39 sQ34_spl <=> (p(sK0_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f268,plain,(
% 14.65/12.39 sQ34_spl|sQ7_spl|~sQ5_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f251,f265,f74,f68])).
% 14.65/12.39 fof(f269,plain,(
% 14.65/12.39 ~reachable(initial_world,initial_world)|~sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|~sQ18_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f172,f17])).
% 14.65/12.39 fof(f271,definition,(
% 14.65/12.39 sQ35_spl <=> (sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f272,plain,(
% 14.65/12.39 sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|~sQ35_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f271])).
% 14.65/12.39 fof(f273,plain,(
% 14.65/12.39 ~sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|sQ35_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f271])).
% 14.65/12.39 fof(f274,plain,(
% 14.65/12.39 ~sQ9_spl|~sQ35_spl|~sQ18_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f269,f120,f271,f171])).
% 14.65/12.39 fof(f289,plain,(
% 14.65/12.39 p(sK1_skl(sK0_skl(initial_world)))|~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK3_skl(sK0_skl(initial_world)))|~sQ3_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f61,f50])).
% 14.65/12.39 fof(f290,plain,(
% 14.65/12.39 p(sK1_skl(sK0_skl(initial_world)))|~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK2_skl(sK0_skl(initial_world)))|~sQ3_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f61,f41])).
% 14.65/12.39 fof(f291,plain,(
% 14.65/12.39 ![X0]: (p(sK0_skl(sK0_skl(sK0_skl(initial_world))))|~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK0_skl(initial_world)))|~sQ3_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f61,f31])).
% 14.65/12.39 fof(f293,plain,(
% 14.65/12.39 ![X0,X1]: (p(X0)|~reachable(sK0_skl(sK0_skl(initial_world)),X1)|~reachable(X1,X0)|~sQ3_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f61,f8])).
% 14.65/12.39 fof(f295,definition,(
% 14.65/12.39 sQ38_spl <=> (p(sK3_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f299,definition,(
% 14.65/12.39 sQ39_spl <=> (p(sK2_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f300,plain,(
% 14.65/12.39 p(sK2_skl(sK0_skl(initial_world)))|~sQ39_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f299])).
% 14.65/12.39 fof(f303,definition,(
% 14.65/12.39 sQ40_spl <=> (p(sK1_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f304,plain,(
% 14.65/12.39 p(sK1_skl(sK0_skl(initial_world)))|~sQ40_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f303])).
% 14.65/12.39 fof(f306,plain,(
% 14.65/12.39 sQ40_spl|~sQ25_spl|sQ28_spl|~sQ3_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f289,f303,f214,f225,f60])).
% 14.65/12.39 fof(f307,plain,(
% 14.65/12.39 sQ40_spl|~sQ25_spl|sQ29_spl|~sQ3_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f290,f303,f214,f229,f60])).
% 14.65/12.39 fof(f308,definition,(
% 14.65/12.39 sQ41_spl <=> (p(sK0_skl(sK0_skl(sK0_skl(initial_world)))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f311,plain,(
% 14.65/12.39 sQ41_spl|sQ31_spl|~sQ3_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f291,f308,f236,f60])).
% 14.65/12.39 fof(f312,plain,(
% 14.65/12.39 q(sK3_skl(initial_world))|~sQ7_spl|~sQ12_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f75,f132])).
% 14.65/12.39 fof(f329,plain,(
% 14.65/12.39 ![X0,X1,X2]: (p(sK2_skl(sK0_skl(initial_world)))|~reachable(sK2_skl(sK0_skl(initial_world)),X0)|q(X0)|~reachable(initial_world,sK0_skl(initial_world))|~reachable(sK0_skl(sK0_skl(initial_world)),X1)|p(X1)|~reachable(sK0_skl(sK0_skl(initial_world)),X2)|q(X2)|~sQ2_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f58,f42])).
% 14.65/12.39 fof(f330,plain,(
% 14.65/12.39 ![X0]: (p(sK1_skl(sK0_skl(initial_world)))|~reachable(sK1_skl(sK0_skl(initial_world)),X0)|q(X0)|~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK3_skl(sK0_skl(initial_world)))|~sQ2_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f58,f50])).
% 14.65/12.39 fof(f331,plain,(
% 14.65/12.39 ![X0]: (p(sK1_skl(sK0_skl(initial_world)))|~reachable(sK1_skl(sK0_skl(initial_world)),X0)|q(X0)|~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK2_skl(sK0_skl(initial_world)))|~sQ2_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f58,f41])).
% 14.65/12.39 fof(f332,plain,(
% 14.65/12.39 ![X0,X1]: (p(sK0_skl(sK0_skl(sK0_skl(initial_world))))|~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|q(X0)|~reachable(initial_world,X1)|~reachable(X1,sK0_skl(sK0_skl(initial_world)))|~sQ2_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f58,f31])).
% 14.65/12.39 fof(f334,plain,(
% 14.65/12.39 ![X0,X1,X2]: (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK0_skl(sK0_skl(initial_world)),X2)|~reachable(X2,X0)|~sQ2_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f58,f8])).
% 14.65/12.39 fof(f335,plain,(
% 14.65/12.39 ![X0]: (p(sK0_skl(sK0_skl(initial_world)))|~reachable(sK0_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ2_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f58,f5])).
% 14.65/12.39 fof(f336,definition,(
% 14.65/12.39 ![X0]: (sQ42_spl <=> (~reachable(sK3_skl(sK0_skl(initial_world)),X0)|q(X0)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f337,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK3_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ42_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f336])).
% 14.65/12.39 fof(f340,definition,(
% 14.65/12.39 ![X0]: (sQ43_spl <=> (~reachable(sK2_skl(sK0_skl(initial_world)),X0)|q(X0)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f341,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK2_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ43_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f340])).
% 14.65/12.39 fof(f343,plain,(
% 14.65/12.39 sQ39_spl|sQ43_spl|~sQ25_spl|sQ3_spl|sQ4_spl|~sQ2_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f329,f299,f340,f214,f60,f63,f57])).
% 14.65/12.39 fof(f344,definition,(
% 14.65/12.39 ![X0]: (sQ44_spl <=> (~reachable(sK1_skl(sK0_skl(initial_world)),X0)|q(X0)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f345,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK1_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ44_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f344])).
% 14.65/12.39 fof(f347,plain,(
% 14.65/12.39 sQ40_spl|sQ44_spl|~sQ25_spl|sQ28_spl|~sQ2_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f330,f303,f344,f214,f225,f57])).
% 14.65/12.39 fof(f348,plain,(
% 14.65/12.39 sQ40_spl|sQ44_spl|~sQ25_spl|sQ29_spl|~sQ2_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f331,f303,f344,f214,f229,f57])).
% 14.65/12.39 fof(f349,definition,(
% 14.65/12.39 ![X0]: (sQ45_spl <=> (~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|q(X0)))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f350,plain,(
% 14.65/12.39 ![X0]: (~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|q(X0)|~sQ45_spl)),
% 14.65/12.39 inference(component_clause,[status(thm)],[f349])).
% 14.65/12.39 fof(f352,plain,(
% 14.65/12.39 sQ41_spl|sQ45_spl|sQ31_spl|~sQ2_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f332,f308,f349,f236,f57])).
% 14.65/12.39 fof(f353,plain,(
% 14.65/12.39 sQ20_spl|sQ4_spl|~sQ2_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f335,f180,f63,f57])).
% 14.65/12.39 fof(f354,plain,(
% 14.65/12.39 ~reachable(initial_world,initial_world)|~sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|~sQ7_spl|~sQ12_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f312,f19])).
% 14.65/12.39 fof(f355,plain,(
% 14.65/12.39 ~sQ9_spl|~sQ35_spl|~sQ7_spl|~sQ12_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f354,f120,f271,f74,f131])).
% 14.65/12.39 fof(f358,plain,(
% 14.65/12.39 ![X0]: (sP0_prd(sK1_skl(sK0_skl(initial_world)),X0)|~sQ40_spl)),
% 14.65/12.39 inference(resolution,[status(thm)],[f304,f25])).
% 14.65/12.39 fof(f372,plain,(
% 14.65/12.39 ~reachable(initial_world,sK0_skl(initial_world))|~sP0_prd(sK1_skl(sK0_skl(initial_world)),sK0_skl(sK0_skl(initial_world)))|~sQ39_spl),
% 14.65/12.39 inference(resolution,[status(thm)],[f300,f17])).
% 14.65/12.39 fof(f374,definition,(
% 14.65/12.39 sQ46_spl <=> (sP0_prd(sK1_skl(sK0_skl(initial_world)),sK0_skl(sK0_skl(initial_world))))),
% 14.65/12.39 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 14.65/12.39 fof(f376,plain,(
% 14.65/12.39 ~sP0_prd(sK1_skl(sK0_skl(initial_world)),sK0_skl(sK0_skl(initial_world)))|sQ46_spl),
% 14.65/12.39 inference(component_clause,[status(thm)],[f374])).
% 14.65/12.39 fof(f377,plain,(
% 14.65/12.39 ~sQ25_spl|~sQ46_spl|~sQ39_spl),
% 14.65/12.39 inference(split_clause,[status(thm)],[f372,f214,f374,f299])).
% 14.65/12.39 fof(f378,plain,(
% 14.65/12.39 $false|~sQ40_spl|sQ46_spl),
% 14.65/12.39 inference(forward_subsumption_resolution,[status(thm)],[f376,f358])).
% 14.65/12.39 fof(f379,plain,(
% 14.65/12.39 ~sQ40_spl|sQ46_spl),
% 14.65/12.40 inference(contradiction_clause,[status(thm)],[f378])).
% 14.65/12.40 fof(f401,plain,(
% 14.65/12.40 p(sK2_skl(initial_world))|~sQ6_spl|~sQ13_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f72,f136])).
% 14.65/12.40 fof(f424,plain,(
% 14.65/12.40 ~reachable(initial_world,initial_world)|~sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|~sQ6_spl|~sQ13_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f401,f17])).
% 14.65/12.40 fof(f426,plain,(
% 14.65/12.40 ~sQ9_spl|~sQ35_spl|~sQ6_spl|~sQ13_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f424,f120,f271,f71,f135])).
% 14.65/12.40 fof(f436,plain,(
% 14.65/12.40 ![X0,X1]: (q(X0)|~reachable(sK2_skl(initial_world),X1)|~reachable(X1,X0)|~sQ32_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f253,f8])).
% 14.65/12.40 fof(f441,definition,(
% 14.65/12.40 ![X0]: (sQ52_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK2_skl(initial_world))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f442,plain,(
% 14.65/12.40 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK2_skl(initial_world))|~sQ52_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f441])).
% 14.65/12.40 fof(f451,plain,(
% 14.65/12.40 ![X0]: (q(sK0_skl(sK3_skl(initial_world)))|~reachable(initial_world,X0)|~reachable(X0,sK3_skl(initial_world))|~sQ33_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f258,f31])).
% 14.65/12.40 fof(f454,plain,(
% 14.65/12.40 q(sK3_skl(initial_world))|~sQ33_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f258,f5])).
% 14.65/12.40 fof(f455,definition,(
% 14.65/12.40 sQ53_spl <=> (q(sK0_skl(sK3_skl(initial_world))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f458,definition,(
% 14.65/12.40 ![X0]: (sQ54_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK3_skl(initial_world))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f459,plain,(
% 14.65/12.40 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK3_skl(initial_world))|~sQ54_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f458])).
% 14.65/12.40 fof(f461,plain,(
% 14.65/12.40 sQ53_spl|sQ54_spl|~sQ33_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f451,f455,f458,f257])).
% 14.65/12.40 fof(f462,plain,(
% 14.65/12.40 ![X0]: (p(sK3_skl(initial_world))|~reachable(sK3_skl(initial_world),X0)|q(X0)|~sQ5_spl|~sQ12_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f69,f132])).
% 14.65/12.40 fof(f472,plain,(
% 14.65/12.40 sQ17_spl|sQ33_spl|~sQ5_spl|~sQ12_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f462,f167,f257,f68,f131])).
% 14.65/12.40 fof(f495,plain,(
% 14.65/12.40 ![X0,X1]: (~reachable(initial_world,initial_world)|~reachable(sK0_skl(initial_world),X0)|p(X0)|~reachable(sK0_skl(initial_world),X1)|q(X1)|sQ35_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f273,f15])).
% 14.65/12.40 fof(f496,plain,(
% 14.65/12.40 reachable(sK0_skl(initial_world),sK1_skl(initial_world))|sQ35_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f273,f24])).
% 14.65/12.40 fof(f497,plain,(
% 14.65/12.40 ~sQ9_spl|sQ6_spl|sQ7_spl|sQ35_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f495,f120,f71,f74,f271])).
% 14.65/12.40 fof(f498,plain,(
% 14.65/12.40 $false|~sQ19_spl|sQ35_spl),
% 14.65/12.40 inference(backward_subsumption_resolution,[status(thm)],[f273,f184])).
% 14.65/12.40 fof(f499,plain,(
% 14.65/12.40 ~sQ19_spl|sQ35_spl),
% 14.65/12.40 inference(contradiction_clause,[status(thm)],[f498])).
% 14.65/12.40 fof(f516,plain,(
% 14.65/12.40 p(sK1_skl(initial_world))|sQ35_spl|~sQ6_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f496,f72])).
% 14.65/12.40 fof(f517,plain,(
% 14.65/12.40 sQ19_spl|sQ35_spl|~sQ6_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f516,f175,f271,f71])).
% 14.65/12.40 fof(f551,plain,(
% 14.65/12.40 ~reachable(initial_world,initial_world)|~sQ15_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f143,f28])).
% 14.65/12.40 fof(f555,plain,(
% 14.65/12.40 ~sQ9_spl|~sQ15_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f551,f120,f142])).
% 14.65/12.40 fof(f559,plain,(
% 14.65/12.40 ![X0]: (q(sK4_skl(sK1_skl(sK0_skl(initial_world)),X0))|sP0_prd(sK1_skl(sK0_skl(initial_world)),X0)|~sQ44_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f345,f26])).
% 14.65/12.40 fof(f569,plain,(
% 14.65/12.40 $false|~sQ44_spl|sQ46_spl),
% 14.65/12.40 inference(backward_subsumption_resolution,[status(thm)],[f376,f570])).
% 14.65/12.40 fof(f570,plain,(
% 14.65/12.40 ![X0]: (sP0_prd(sK1_skl(sK0_skl(initial_world)),X0)|~sQ44_spl)),
% 14.65/12.40 inference(forward_subsumption_resolution,[status(thm)],[f559,f27])).
% 14.65/12.40 fof(f571,plain,(
% 14.65/12.40 ~sQ44_spl|sQ46_spl),
% 14.65/12.40 inference(contradiction_clause,[status(thm)],[f569])).
% 14.65/12.40 fof(f572,plain,(
% 14.65/12.40 ![X0,X1]: (~reachable(initial_world,sK0_skl(initial_world))|~reachable(initial_world,initial_world)|~reachable(sK0_skl(initial_world),X0)|p(X0)|~reachable(sK0_skl(initial_world),X1)|q(X1)|~sQ52_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f442,f42])).
% 14.65/12.40 fof(f575,plain,(
% 14.65/12.40 ~sQ25_spl|~sQ9_spl|sQ6_spl|sQ7_spl|~sQ52_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f572,f214,f120,f71,f74,f441])).
% 14.65/12.40 fof(f688,plain,(
% 14.65/12.40 ~reachable(initial_world,sK0_skl(initial_world))|~sQ31_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f237,f29])).
% 14.65/12.40 fof(f692,plain,(
% 14.65/12.40 ~sQ25_spl|~sQ31_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f688,f214,f236])).
% 14.65/12.40 fof(f723,plain,(
% 14.65/12.40 ~reachable(initial_world,sK0_skl(initial_world))|~sQ54_spl|~sQ12_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f459,f132])).
% 14.65/12.40 fof(f727,plain,(
% 14.65/12.40 ~sQ25_spl|~sQ54_spl|~sQ12_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f723,f214,f458,f131])).
% 14.65/12.40 fof(f730,plain,(
% 14.65/12.40 ~reachable(initial_world,initial_world)|reachable(sK0_skl(initial_world),sK2_skl(initial_world))|~sQ35_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f272,f16])).
% 14.65/12.40 fof(f733,plain,(
% 14.65/12.40 ~sQ9_spl|sQ13_spl|~sQ35_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f730,f120,f135,f271])).
% 14.65/12.40 fof(f809,plain,(
% 14.65/12.40 ![X0]: (q(sK0_skl(sK2_skl(sK0_skl(initial_world))))|~reachable(initial_world,X0)|~reachable(X0,sK2_skl(sK0_skl(initial_world)))|~sQ43_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f341,f31])).
% 14.65/12.40 fof(f813,definition,(
% 14.65/12.40 sQ59_spl <=> (q(sK0_skl(sK2_skl(sK0_skl(initial_world)))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f816,definition,(
% 14.65/12.40 ![X0]: (sQ60_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK2_skl(sK0_skl(initial_world)))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f817,plain,(
% 14.65/12.40 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK2_skl(sK0_skl(initial_world)))|~sQ60_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f816])).
% 14.65/12.40 fof(f819,plain,(
% 14.65/12.40 sQ59_spl|sQ60_spl|~sQ43_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f809,f813,f816,f340])).
% 14.65/12.40 fof(f821,plain,(
% 14.65/12.40 ~reachable(initial_world,initial_world)|~sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|~sQ33_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f454,f19])).
% 14.65/12.40 fof(f822,plain,(
% 14.65/12.40 ~sQ9_spl|~sQ35_spl|~sQ33_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f821,f120,f271,f257])).
% 14.65/12.40 fof(f836,plain,(
% 14.65/12.40 ![X0]: (q(sK0_skl(sK3_skl(sK0_skl(initial_world))))|~reachable(initial_world,X0)|~reachable(X0,sK3_skl(sK0_skl(initial_world)))|~sQ42_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f337,f31])).
% 14.65/12.40 fof(f839,plain,(
% 14.65/12.40 q(sK3_skl(sK0_skl(initial_world)))|~sQ42_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f337,f5])).
% 14.65/12.40 fof(f840,definition,(
% 14.65/12.40 sQ62_spl <=> (q(sK0_skl(sK3_skl(sK0_skl(initial_world)))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f843,definition,(
% 14.65/12.40 ![X0]: (sQ63_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK3_skl(sK0_skl(initial_world)))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f844,plain,(
% 14.65/12.40 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK3_skl(sK0_skl(initial_world)))|~sQ63_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f843])).
% 14.65/12.40 fof(f846,plain,(
% 14.65/12.40 sQ62_spl|sQ63_spl|~sQ42_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f836,f840,f843,f336])).
% 14.65/12.40 fof(f919,plain,(
% 14.65/12.40 ~reachable(initial_world,sK0_skl(initial_world))|~sP0_prd(sK1_skl(sK0_skl(initial_world)),sK0_skl(sK0_skl(initial_world)))|~sQ42_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f839,f19])).
% 14.65/12.40 fof(f920,plain,(
% 14.65/12.40 ~sQ25_spl|~sQ46_spl|~sQ42_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f919,f214,f374,f336])).
% 14.65/12.40 fof(f921,plain,(
% 14.65/12.40 ![X0]: (p(sK2_skl(sK0_skl(initial_world)))|~reachable(sK2_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ29_spl|~sQ2_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f230,f58])).
% 14.65/12.40 fof(f922,plain,(
% 14.65/12.40 sQ39_spl|sQ43_spl|~sQ29_spl|~sQ2_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f921,f299,f340,f229,f57])).
% 14.65/12.40 fof(f923,plain,(
% 14.65/12.40 ![X0]: (p(sK3_skl(sK0_skl(initial_world)))|~reachable(sK3_skl(sK0_skl(initial_world)),X0)|q(X0)|~sQ28_spl|~sQ2_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f226,f58])).
% 14.65/12.40 fof(f924,plain,(
% 14.65/12.40 sQ38_spl|sQ42_spl|~sQ28_spl|~sQ2_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f923,f295,f336,f225,f57])).
% 14.65/12.40 fof(f925,plain,(
% 14.65/12.40 ![X0,X1]: (q(X0)|~reachable(sK0_skl(sK2_skl(initial_world)),X0)|~reachable(initial_world,X1)|~reachable(X1,sK2_skl(initial_world))|~sQ32_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f436,f31])).
% 14.65/12.40 fof(f929,definition,(
% 14.65/12.40 ![X0]: (sQ64_spl <=> (q(X0)|~reachable(sK0_skl(sK2_skl(initial_world)),X0)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f930,plain,(
% 14.65/12.40 ![X0]: (q(X0)|~reachable(sK0_skl(sK2_skl(initial_world)),X0)|~sQ64_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f929])).
% 14.65/12.40 fof(f932,plain,(
% 14.65/12.40 sQ64_spl|sQ52_spl|~sQ32_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f925,f929,f441,f252])).
% 14.65/12.40 fof(f939,plain,(
% 14.65/12.40 ![X0,X1]: (q(X0)|~reachable(sK0_skl(sK2_skl(initial_world)),X1)|~reachable(X1,X0)|~sQ64_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f930,f8])).
% 14.65/12.40 fof(f944,definition,(
% 14.65/12.40 sQ66_spl <=> (reachable(initial_world,sK2_skl(initial_world)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f946,plain,(
% 14.65/12.40 ~reachable(initial_world,sK2_skl(initial_world))|sQ66_spl),
% 14.65/12.40 inference(component_clause,[status(thm)],[f944])).
% 14.65/12.40 fof(f958,definition,(
% 14.65/12.40 sQ70_spl <=> (reachable(sK0_skl(sK2_skl(initial_world)),sK3_skl(sK2_skl(initial_world))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f959,plain,(
% 14.65/12.40 reachable(sK0_skl(sK2_skl(initial_world)),sK3_skl(sK2_skl(initial_world)))|~sQ70_spl),
% 14.65/12.40 inference(component_clause,[status(thm)],[f958])).
% 14.65/12.40 fof(f974,plain,(
% 14.65/12.40 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK2_skl(initial_world))|sQ66_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f946,f8])).
% 14.65/12.40 fof(f975,plain,(
% 14.65/12.40 sQ52_spl|sQ66_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f974,f441,f944])).
% 14.65/12.40 fof(f977,plain,(
% 14.65/12.40 ![X0,X1,X2,X3]: (~reachable(sK0_skl(sK3_skl(initial_world)),X0)|p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK0_skl(sK3_skl(initial_world)),X2)|p(X2)|~reachable(sK0_skl(sK3_skl(initial_world)),X3)|q(X3)|~sQ12_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f149,f132])).
% 14.65/12.40 fof(f991,definition,(
% 14.65/12.40 ![X0,X1]: (sQ75_spl <=> (~reachable(sK0_skl(sK3_skl(initial_world)),X0)|p(X0)|~reachable(X0,X1)|q(X1)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f994,definition,(
% 14.65/12.40 ![X2]: (sQ76_spl <=> (~reachable(sK0_skl(sK3_skl(initial_world)),X2)|p(X2)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f995,plain,(
% 14.65/12.40 ![X0]: (~reachable(sK0_skl(sK3_skl(initial_world)),X0)|p(X0)|~sQ76_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f994])).
% 14.65/12.40 fof(f997,definition,(
% 14.65/12.40 ![X3]: (sQ77_spl <=> (~reachable(sK0_skl(sK3_skl(initial_world)),X3)|q(X3)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f998,plain,(
% 14.65/12.40 ![X0]: (~reachable(sK0_skl(sK3_skl(initial_world)),X0)|q(X0)|~sQ77_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f997])).
% 14.65/12.40 fof(f1000,plain,(
% 14.65/12.40 sQ75_spl|sQ76_spl|sQ77_spl|~sQ12_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f977,f991,f994,f997,f131])).
% 14.65/12.40 fof(f1001,definition,(
% 14.65/12.40 ![X0,X1]: (sQ78_spl <=> (~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|p(X0)|~reachable(X0,X1)|q(X1)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1004,definition,(
% 14.65/12.40 ![X2]: (sQ79_spl <=> (~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X2)|p(X2)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1005,plain,(
% 14.65/12.40 ![X0]: (~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|p(X0)|~sQ79_spl)),
% 14.65/12.40 inference(component_clause,[status(thm)],[f1004])).
% 14.65/12.40 fof(f1030,plain,(
% 14.65/12.40 ![X0,X1,X2,X3,X4,X5,X6]: (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4)|~reachable(X5,X0)|~reachable(sK0_skl(initial_world),X5)|~reachable(initial_world,X6)|~reachable(X6,initial_world))),
% 14.65/12.40 inference(resolution,[status(thm)],[f152,f31])).
% 14.65/12.40 fof(f1034,definition,(
% 14.65/12.40 ![X0,X1,X2,X3,X4,X5]: (sQ83_spl <=> (~reachable(sK0_skl(X0),X1)|p(X1)|~reachable(X1,X2)|q(X2)|~reachable(sK0_skl(X0),X3)|p(X3)|~reachable(sK0_skl(X0),X4)|q(X4)|~reachable(X5,X0)|~reachable(sK0_skl(initial_world),X5)))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1037,plain,(
% 14.65/12.40 sQ83_spl|sQ0_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f1030,f1034,f33])).
% 14.65/12.40 fof(f1058,plain,(
% 14.65/12.40 ![X0,X1,X2]: (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK0_skl(sK0_skl(initial_world)),X0)|~reachable(initial_world,X2)|~reachable(X2,sK0_skl(initial_world))|~sQ5_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f250,f31])).
% 14.65/12.40 fof(f1075,plain,(
% 14.65/12.40 sQ2_spl|sQ15_spl|~sQ5_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f1058,f57,f142,f68])).
% 14.65/12.40 fof(f1143,plain,(
% 14.65/12.40 q(sK1_skl(sK0_skl(sK0_skl(initial_world))))|~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK3_skl(sK0_skl(sK0_skl(initial_world))))|~sQ45_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f350,f50])).
% 14.65/12.40 fof(f1144,plain,(
% 14.65/12.40 q(sK1_skl(sK0_skl(sK0_skl(initial_world))))|~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK2_skl(sK0_skl(sK0_skl(initial_world))))|~sQ45_spl),
% 14.65/12.40 inference(resolution,[status(thm)],[f350,f41])).
% 14.65/12.40 fof(f1145,plain,(
% 14.65/12.40 ![X0]: (q(sK0_skl(sK0_skl(sK0_skl(sK0_skl(initial_world)))))|~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK0_skl(sK0_skl(initial_world))))|~sQ45_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f350,f31])).
% 14.65/12.40 fof(f1152,definition,(
% 14.65/12.40 sQ102_spl <=> (reachable(initial_world,sK0_skl(sK0_skl(initial_world))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1154,plain,(
% 14.65/12.40 ~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|sQ102_spl),
% 14.65/12.40 inference(component_clause,[status(thm)],[f1152])).
% 14.65/12.40 fof(f1160,definition,(
% 14.65/12.40 sQ104_spl <=> (q(sK1_skl(sK0_skl(sK0_skl(initial_world)))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1163,definition,(
% 14.65/12.40 sQ105_spl <=> (reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK3_skl(sK0_skl(sK0_skl(initial_world)))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1166,plain,(
% 14.65/12.40 sQ104_spl|~sQ102_spl|sQ105_spl|~sQ45_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f1143,f1160,f1152,f1163,f349])).
% 14.65/12.40 fof(f1167,definition,(
% 14.65/12.40 sQ106_spl <=> (reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK2_skl(sK0_skl(sK0_skl(initial_world)))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1170,plain,(
% 14.65/12.40 sQ104_spl|~sQ102_spl|sQ106_spl|~sQ45_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f1144,f1160,f1152,f1167,f349])).
% 14.65/12.40 fof(f1171,definition,(
% 14.65/12.40 sQ107_spl <=> (q(sK0_skl(sK0_skl(sK0_skl(sK0_skl(initial_world))))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1174,definition,(
% 14.65/12.40 ![X0]: (sQ108_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK0_skl(sK0_skl(initial_world))))))),
% 14.65/12.40 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 14.65/12.40 fof(f1177,plain,(
% 14.65/12.40 sQ107_spl|sQ108_spl|~sQ45_spl),
% 14.65/12.40 inference(split_clause,[status(thm)],[f1145,f1171,f1174,f349])).
% 14.65/12.40 fof(f1180,plain,(
% 14.65/12.40 ![X0,X1,X2,X3]: (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK3_skl(sK0_skl(initial_world)),X0)|~reachable(initial_world,sK0_skl(initial_world))|~reachable(sK0_skl(sK0_skl(initial_world)),X2)|p(X2)|~reachable(sK0_skl(sK0_skl(initial_world)),X3)|q(X3)|~sQ2_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f334,f51])).
% 14.65/12.40 fof(f1181,plain,(
% 14.65/12.40 ![X0,X1,X2,X3]: (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK2_skl(sK0_skl(initial_world)),X0)|~reachable(initial_world,sK0_skl(initial_world))|~reachable(sK0_skl(sK0_skl(initial_world)),X2)|p(X2)|~reachable(sK0_skl(sK0_skl(initial_world)),X3)|q(X3)|~sQ2_spl)),
% 14.65/12.40 inference(resolution,[status(thm)],[f334,f42])).
% 14.65/12.40 fof(f1184,plain,(
% 14.65/12.40 ![X0,X1,X2]: (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|~reachable(initial_world,X2)|~reachable(X2,sK0_skl(sK0_skl(initial_world)))|~sQ2_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f334,f31])).
% 14.65/12.41 fof(f1188,definition,(
% 14.65/12.41 ![X0,X1]: (sQ109_spl <=> (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK3_skl(sK0_skl(initial_world)),X0)))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1191,plain,(
% 14.65/12.41 sQ109_spl|~sQ25_spl|sQ3_spl|sQ4_spl|~sQ2_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1180,f1188,f214,f60,f63,f57])).
% 14.65/12.41 fof(f1192,definition,(
% 14.65/12.41 ![X0,X1]: (sQ110_spl <=> (p(X0)|~reachable(X0,X1)|q(X1)|~reachable(sK2_skl(sK0_skl(initial_world)),X0)))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1195,plain,(
% 14.65/12.41 sQ110_spl|~sQ25_spl|sQ3_spl|sQ4_spl|~sQ2_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1181,f1192,f214,f60,f63,f57])).
% 14.65/12.41 fof(f1201,plain,(
% 14.65/12.41 sQ78_spl|sQ31_spl|~sQ2_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1184,f1001,f236,f57])).
% 14.65/12.41 fof(f1215,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK3_skl(sK0_skl(initial_world)))|~sQ40_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f358,f18])).
% 14.65/12.41 fof(f1216,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK2_skl(sK0_skl(initial_world)))|~sQ40_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f358,f16])).
% 14.65/12.41 fof(f1218,plain,(
% 14.65/12.41 ~sQ25_spl|sQ28_spl|~sQ40_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1215,f214,f225,f303])).
% 14.65/12.41 fof(f1219,plain,(
% 14.65/12.41 ~sQ25_spl|sQ29_spl|~sQ40_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1216,f214,f229,f303])).
% 14.65/12.41 fof(f1230,plain,(
% 14.65/12.41 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK0_skl(initial_world)))|sQ102_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1154,f8])).
% 14.65/12.41 fof(f1231,plain,(
% 14.65/12.41 sQ31_spl|sQ102_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1230,f236,f1152])).
% 14.65/12.41 fof(f1249,plain,(
% 14.65/12.41 ![X0,X1]: (p(X0)|~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|~reachable(initial_world,X1)|~reachable(X1,sK0_skl(sK0_skl(initial_world)))|~sQ3_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f293,f31])).
% 14.65/12.41 fof(f1261,definition,(
% 14.65/12.41 ![X0]: (sQ117_spl <=> (p(X0)|~reachable(sK1_skl(sK0_skl(initial_world)),X0)))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1262,plain,(
% 14.65/12.41 ![X0]: (p(X0)|~reachable(sK1_skl(sK0_skl(initial_world)),X0)|~sQ117_spl)),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1261])).
% 14.65/12.41 fof(f1266,plain,(
% 14.65/12.41 sQ79_spl|sQ31_spl|~sQ3_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1249,f1004,f236,f60])).
% 14.65/12.41 fof(f1330,definition,(
% 14.65/12.41 ![X1]: (sQ125_spl <=> (~reachable(sK1_skl(sK2_skl(initial_world)),X1)|q(X1)))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1331,plain,(
% 14.65/12.41 ![X0]: (~reachable(sK1_skl(sK2_skl(initial_world)),X0)|q(X0)|~sQ125_spl)),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1330])).
% 14.65/12.41 fof(f1345,plain,(
% 14.65/12.41 q(sK1_skl(sK3_skl(initial_world)))|~reachable(initial_world,sK3_skl(initial_world))|reachable(sK0_skl(sK3_skl(initial_world)),sK3_skl(sK3_skl(initial_world)))|~sQ77_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f998,f50])).
% 14.65/12.41 fof(f1346,plain,(
% 14.65/12.41 q(sK1_skl(sK3_skl(initial_world)))|~reachable(initial_world,sK3_skl(initial_world))|reachable(sK0_skl(sK3_skl(initial_world)),sK2_skl(sK3_skl(initial_world)))|~sQ77_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f998,f41])).
% 14.65/12.41 fof(f1347,plain,(
% 14.65/12.41 ![X0]: (q(sK0_skl(sK0_skl(sK3_skl(initial_world))))|~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK3_skl(initial_world)))|~sQ77_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f998,f31])).
% 14.65/12.41 fof(f1354,definition,(
% 14.65/12.41 sQ129_spl <=> (reachable(initial_world,sK3_skl(initial_world)))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1355,plain,(
% 14.65/12.41 reachable(initial_world,sK3_skl(initial_world))|~sQ129_spl),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1354])).
% 14.65/12.41 fof(f1356,plain,(
% 14.65/12.41 ~reachable(initial_world,sK3_skl(initial_world))|sQ129_spl),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1354])).
% 14.65/12.41 fof(f1362,definition,(
% 14.65/12.41 sQ131_spl <=> (q(sK1_skl(sK3_skl(initial_world))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1365,definition,(
% 14.65/12.41 sQ132_spl <=> (reachable(sK0_skl(sK3_skl(initial_world)),sK3_skl(sK3_skl(initial_world))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1368,plain,(
% 14.65/12.41 sQ131_spl|~sQ129_spl|sQ132_spl|~sQ77_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1345,f1362,f1354,f1365,f997])).
% 14.65/12.41 fof(f1369,definition,(
% 14.65/12.41 sQ133_spl <=> (reachable(sK0_skl(sK3_skl(initial_world)),sK2_skl(sK3_skl(initial_world))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1372,plain,(
% 14.65/12.41 sQ131_spl|~sQ129_spl|sQ133_spl|~sQ77_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1346,f1362,f1354,f1369,f997])).
% 14.65/12.41 fof(f1373,definition,(
% 14.65/12.41 sQ134_spl <=> (q(sK0_skl(sK0_skl(sK3_skl(initial_world)))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1376,definition,(
% 14.65/12.41 ![X0]: (sQ135_spl <=> (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK3_skl(initial_world)))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1377,plain,(
% 14.65/12.41 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK3_skl(initial_world)))|~sQ135_spl)),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1376])).
% 14.65/12.41 fof(f1379,plain,(
% 14.65/12.41 sQ134_spl|sQ135_spl|~sQ77_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1347,f1373,f1376,f997])).
% 14.65/12.41 fof(f1381,plain,(
% 14.65/12.41 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sK3_skl(initial_world))|sQ129_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1356,f8])).
% 14.65/12.41 fof(f1382,plain,(
% 14.65/12.41 sQ54_spl|sQ129_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1381,f458,f1354])).
% 14.65/12.41 fof(f1403,plain,(
% 14.65/12.41 reachable(sK3_skl(initial_world),sK0_skl(sK3_skl(initial_world)))|~sQ129_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1355,f14])).
% 14.65/12.41 fof(f1407,plain,(
% 14.65/12.41 p(sK1_skl(sK3_skl(initial_world)))|~reachable(initial_world,sK3_skl(initial_world))|reachable(sK0_skl(sK3_skl(initial_world)),sK3_skl(sK3_skl(initial_world)))|~sQ76_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f995,f50])).
% 14.65/12.41 fof(f1408,plain,(
% 14.65/12.41 p(sK1_skl(sK3_skl(initial_world)))|~reachable(initial_world,sK3_skl(initial_world))|reachable(sK0_skl(sK3_skl(initial_world)),sK2_skl(sK3_skl(initial_world)))|~sQ76_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f995,f41])).
% 14.65/12.41 fof(f1409,plain,(
% 14.65/12.41 ![X0]: (p(sK0_skl(sK0_skl(sK3_skl(initial_world))))|~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK3_skl(initial_world)))|~sQ76_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f995,f31])).
% 14.65/12.41 fof(f1421,definition,(
% 14.65/12.41 sQ138_spl <=> (p(sK1_skl(sK3_skl(initial_world))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1422,plain,(
% 14.65/12.41 p(sK1_skl(sK3_skl(initial_world)))|~sQ138_spl),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1421])).
% 14.65/12.41 fof(f1424,plain,(
% 14.65/12.41 sQ138_spl|~sQ129_spl|sQ132_spl|~sQ76_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1407,f1421,f1354,f1365,f994])).
% 14.65/12.41 fof(f1425,plain,(
% 14.65/12.41 sQ138_spl|~sQ129_spl|sQ133_spl|~sQ76_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1408,f1421,f1354,f1369,f994])).
% 14.65/12.41 fof(f1426,definition,(
% 14.65/12.41 sQ139_spl <=> (p(sK0_skl(sK0_skl(sK3_skl(initial_world)))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1429,plain,(
% 14.65/12.41 sQ139_spl|sQ135_spl|~sQ76_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1409,f1426,f1376,f994])).
% 14.65/12.41 fof(f1430,plain,(
% 14.65/12.41 ![X0]: (sP0_prd(sK1_skl(sK3_skl(initial_world)),X0)|~sQ138_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1422,f25])).
% 14.65/12.41 fof(f1431,plain,(
% 14.65/12.41 ~reachable(initial_world,sK3_skl(initial_world))|reachable(sK0_skl(sK3_skl(initial_world)),sK3_skl(sK3_skl(initial_world)))|~sQ138_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1430,f18])).
% 14.65/12.41 fof(f1432,plain,(
% 14.65/12.41 ~reachable(initial_world,sK3_skl(initial_world))|reachable(sK0_skl(sK3_skl(initial_world)),sK2_skl(sK3_skl(initial_world)))|~sQ138_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1430,f16])).
% 14.65/12.41 fof(f1434,plain,(
% 14.65/12.41 ~sQ129_spl|sQ132_spl|~sQ138_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1431,f1354,f1365,f1421])).
% 14.65/12.41 fof(f1435,plain,(
% 14.65/12.41 ~sQ129_spl|sQ133_spl|~sQ138_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1432,f1354,f1369,f1421])).
% 14.65/12.41 fof(f1522,plain,(
% 14.65/12.41 p(sK1_skl(sK0_skl(initial_world)))|~sQ117_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1262,f5])).
% 14.65/12.41 fof(f1527,plain,(
% 14.65/12.41 sQ40_spl|~sQ117_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1522,f303,f1261])).
% 14.65/12.41 fof(f1561,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|~sQ60_spl|~sQ29_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f817,f230])).
% 14.65/12.41 fof(f1562,plain,(
% 14.65/12.41 ![X0,X1]: (~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|~reachable(initial_world,sK0_skl(initial_world))|~reachable(sK0_skl(sK0_skl(initial_world)),X0)|p(X0)|~reachable(sK0_skl(sK0_skl(initial_world)),X1)|q(X1)|~sQ60_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f817,f42])).
% 14.65/12.41 fof(f1565,plain,(
% 14.65/12.41 ~sQ102_spl|~sQ60_spl|~sQ29_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1561,f1152,f816,f229])).
% 14.65/12.41 fof(f1566,plain,(
% 14.65/12.41 ~sQ102_spl|~sQ25_spl|sQ3_spl|sQ4_spl|~sQ60_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1562,f1152,f214,f60,f63,f816])).
% 14.65/12.41 fof(f1567,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|~sQ63_spl|~sQ28_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f844,f226])).
% 14.65/12.41 fof(f1571,plain,(
% 14.65/12.41 ~sQ102_spl|~sQ63_spl|~sQ28_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1567,f1152,f843,f225])).
% 14.65/12.41 fof(f1586,plain,(
% 14.65/12.41 q(sK3_skl(sK2_skl(initial_world)))|~sQ70_spl|~sQ64_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f959,f930])).
% 14.65/12.41 fof(f1587,plain,(
% 14.65/12.41 ~reachable(initial_world,sK2_skl(initial_world))|~sP0_prd(sK1_skl(sK2_skl(initial_world)),sK0_skl(sK2_skl(initial_world)))|~sQ70_spl|~sQ64_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1586,f19])).
% 14.65/12.41 fof(f1588,definition,(
% 14.65/12.41 sQ147_spl <=> (sP0_prd(sK1_skl(sK2_skl(initial_world)),sK0_skl(sK2_skl(initial_world))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1590,plain,(
% 14.65/12.41 ~sP0_prd(sK1_skl(sK2_skl(initial_world)),sK0_skl(sK2_skl(initial_world)))|sQ147_spl),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1588])).
% 14.65/12.41 fof(f1591,plain,(
% 14.65/12.41 ~sQ66_spl|~sQ147_spl|~sQ70_spl|~sQ64_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1587,f944,f1588,f958,f929])).
% 14.65/12.41 fof(f1594,plain,(
% 14.65/12.41 p(sK1_skl(sK0_skl(sK0_skl(initial_world))))|~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK3_skl(sK0_skl(sK0_skl(initial_world))))|~sQ79_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1005,f50])).
% 14.65/12.41 fof(f1595,plain,(
% 14.65/12.41 p(sK1_skl(sK0_skl(sK0_skl(initial_world))))|~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK2_skl(sK0_skl(sK0_skl(initial_world))))|~sQ79_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1005,f41])).
% 14.65/12.41 fof(f1596,plain,(
% 14.65/12.41 ![X0]: (p(sK0_skl(sK0_skl(sK0_skl(sK0_skl(initial_world)))))|~reachable(initial_world,X0)|~reachable(X0,sK0_skl(sK0_skl(sK0_skl(initial_world))))|~sQ79_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1005,f31])).
% 14.65/12.41 fof(f1608,definition,(
% 14.65/12.41 sQ150_spl <=> (p(sK1_skl(sK0_skl(sK0_skl(initial_world)))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1609,plain,(
% 14.65/12.41 p(sK1_skl(sK0_skl(sK0_skl(initial_world))))|~sQ150_spl),
% 14.65/12.41 inference(component_clause,[status(thm)],[f1608])).
% 14.65/12.41 fof(f1611,plain,(
% 14.65/12.41 sQ150_spl|~sQ102_spl|sQ105_spl|~sQ79_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1594,f1608,f1152,f1163,f1004])).
% 14.65/12.41 fof(f1612,plain,(
% 14.65/12.41 sQ150_spl|~sQ102_spl|sQ106_spl|~sQ79_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1595,f1608,f1152,f1167,f1004])).
% 14.65/12.41 fof(f1613,definition,(
% 14.65/12.41 sQ151_spl <=> (p(sK0_skl(sK0_skl(sK0_skl(sK0_skl(initial_world))))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1616,plain,(
% 14.65/12.41 sQ151_spl|sQ108_spl|~sQ79_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1596,f1613,f1174,f1004])).
% 14.65/12.41 fof(f1617,plain,(
% 14.65/12.41 ![X0]: (sP0_prd(sK1_skl(sK0_skl(sK0_skl(initial_world))),X0)|~sQ150_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1609,f25])).
% 14.65/12.41 fof(f1618,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK3_skl(sK0_skl(sK0_skl(initial_world))))|~sQ150_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1617,f18])).
% 14.65/12.41 fof(f1619,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(sK0_skl(initial_world)))|reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),sK2_skl(sK0_skl(sK0_skl(initial_world))))|~sQ150_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1617,f16])).
% 14.65/12.41 fof(f1621,plain,(
% 14.65/12.41 ~sQ102_spl|sQ105_spl|~sQ150_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1618,f1152,f1163,f1608])).
% 14.65/12.41 fof(f1622,plain,(
% 14.65/12.41 ~sQ102_spl|sQ106_spl|~sQ150_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1619,f1152,f1167,f1608])).
% 14.65/12.41 fof(f1671,plain,(
% 14.65/12.41 ![X0,X1]: (~reachable(initial_world,sK0_skl(initial_world))|~reachable(sK0_skl(sK0_skl(initial_world)),X0)|p(X0)|~reachable(sK0_skl(sK0_skl(initial_world)),X1)|q(X1)|sQ46_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f376,f15])).
% 14.65/12.41 fof(f1672,plain,(
% 14.65/12.41 reachable(sK0_skl(sK0_skl(initial_world)),sK1_skl(sK0_skl(initial_world)))|sQ46_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f376,f24])).
% 14.65/12.41 fof(f1673,plain,(
% 14.65/12.41 ~sQ25_spl|sQ3_spl|sQ4_spl|sQ46_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1671,f214,f60,f63,f374])).
% 14.65/12.41 fof(f1689,plain,(
% 14.65/12.41 ~reachable(initial_world,sK3_skl(initial_world))|~sQ135_spl|~sQ129_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1377,f1403])).
% 14.65/12.41 fof(f1693,plain,(
% 14.65/12.41 ~sQ129_spl|~sQ135_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1689,f1354,f1376])).
% 14.65/12.41 fof(f1695,plain,(
% 14.65/12.41 ![X0]: (p(X0)|~reachable(sK2_skl(sK0_skl(initial_world)),X0)|~sQ3_spl|~sQ29_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f293,f230])).
% 14.65/12.41 fof(f1696,plain,(
% 14.65/12.41 ![X0]: (p(X0)|~reachable(sK3_skl(sK0_skl(initial_world)),X0)|~sQ3_spl|~sQ28_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f293,f226])).
% 14.65/12.41 fof(f1726,plain,(
% 14.65/12.41 ![X0]: (p(sK0_skl(sK2_skl(sK0_skl(initial_world))))|~reachable(initial_world,X0)|~reachable(X0,sK2_skl(sK0_skl(initial_world)))|~sQ3_spl|~sQ29_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1695,f31])).
% 14.65/12.41 fof(f1730,definition,(
% 14.65/12.41 sQ156_spl <=> (p(sK0_skl(sK2_skl(sK0_skl(initial_world)))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1733,plain,(
% 14.65/12.41 sQ156_spl|sQ60_spl|~sQ3_spl|~sQ29_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1726,f1730,f816,f60,f229])).
% 14.65/12.41 fof(f1743,plain,(
% 14.65/12.41 ![X0]: (p(sK0_skl(sK3_skl(sK0_skl(initial_world))))|~reachable(initial_world,X0)|~reachable(X0,sK3_skl(sK0_skl(initial_world)))|~sQ3_spl|~sQ28_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1696,f31])).
% 14.65/12.41 fof(f1747,definition,(
% 14.65/12.41 sQ159_spl <=> (p(sK0_skl(sK3_skl(sK0_skl(initial_world)))))),
% 14.65/12.41 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 14.65/12.41 fof(f1750,plain,(
% 14.65/12.41 sQ159_spl|sQ63_spl|~sQ3_spl|~sQ28_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1743,f1747,f843,f60,f225])).
% 14.65/12.41 fof(f1761,plain,(
% 14.65/12.41 reachable(sK0_skl(sK2_skl(initial_world)),sK1_skl(sK2_skl(initial_world)))|sQ147_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1590,f24])).
% 14.65/12.41 fof(f1787,plain,(
% 14.65/12.41 ![X0]: (p(X0)|~reachable(sK1_skl(sK0_skl(initial_world)),X0)|sQ46_spl|~sQ3_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1672,f293])).
% 14.65/12.41 fof(f1788,plain,(
% 14.65/12.41 p(sK1_skl(sK0_skl(initial_world)))|sQ46_spl|~sQ3_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1672,f61])).
% 14.65/12.41 fof(f1789,plain,(
% 14.65/12.41 sQ117_spl|sQ46_spl|~sQ3_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1787,f1261,f374,f60])).
% 14.65/12.41 fof(f1790,plain,(
% 14.65/12.41 sQ40_spl|sQ46_spl|~sQ3_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1788,f303,f374,f60])).
% 14.65/12.41 fof(f1793,plain,(
% 14.65/12.41 q(sK3_skl(sK0_skl(initial_world)))|~sQ4_spl|~sQ28_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f64,f226])).
% 14.65/12.41 fof(f1807,plain,(
% 14.65/12.41 ![X0]: (q(X0)|~reachable(sK1_skl(sK0_skl(initial_world)),X0)|~sQ4_spl|sQ46_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f209,f1672])).
% 14.65/12.41 fof(f1812,plain,(
% 14.65/12.41 ![X0]: (q(X0)|~reachable(sK1_skl(sK0_skl(initial_world)),X0)|~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK3_skl(sK0_skl(initial_world)))|~sQ4_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f209,f50])).
% 14.65/12.41 fof(f1814,plain,(
% 14.65/12.41 ![X0,X1]: (q(X0)|~reachable(sK0_skl(sK0_skl(sK0_skl(initial_world))),X0)|~reachable(initial_world,X1)|~reachable(X1,sK0_skl(sK0_skl(initial_world)))|~sQ4_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f209,f31])).
% 14.65/12.41 fof(f1818,plain,(
% 14.65/12.41 sQ44_spl|~sQ4_spl|sQ46_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1807,f344,f63,f374])).
% 14.65/12.41 fof(f1821,plain,(
% 14.65/12.41 sQ44_spl|~sQ25_spl|sQ28_spl|~sQ4_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1812,f344,f214,f225,f63])).
% 14.65/12.41 fof(f1823,plain,(
% 14.65/12.41 sQ45_spl|sQ31_spl|~sQ4_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1814,f349,f236,f63])).
% 14.65/12.41 fof(f1824,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(initial_world))|~sP0_prd(sK1_skl(sK0_skl(initial_world)),sK0_skl(sK0_skl(initial_world)))|~sQ4_spl|~sQ28_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1793,f19])).
% 14.65/12.41 fof(f1825,plain,(
% 14.65/12.41 ~sQ25_spl|~sQ46_spl|~sQ4_spl|~sQ28_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1824,f214,f374,f63,f225])).
% 14.65/12.41 fof(f1859,plain,(
% 14.65/12.41 ![X0]: (q(X0)|~reachable(sK1_skl(sK2_skl(initial_world)),X0)|~sQ64_spl|sQ147_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f939,f1761])).
% 14.65/12.41 fof(f1864,plain,(
% 14.65/12.41 ![X0]: (q(X0)|~reachable(sK1_skl(sK2_skl(initial_world)),X0)|~reachable(initial_world,sK2_skl(initial_world))|reachable(sK0_skl(sK2_skl(initial_world)),sK3_skl(sK2_skl(initial_world)))|~sQ64_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f939,f50])).
% 14.65/12.41 fof(f1878,plain,(
% 14.65/12.41 sQ125_spl|~sQ66_spl|sQ70_spl|~sQ64_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1864,f1330,f944,f958,f929])).
% 14.65/12.41 fof(f1882,plain,(
% 14.65/12.41 ![X0]: (q(sK4_skl(sK1_skl(sK2_skl(initial_world)),X0))|sP0_prd(sK1_skl(sK2_skl(initial_world)),X0)|~sQ64_spl|sQ147_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1859,f26])).
% 14.65/12.41 fof(f1892,plain,(
% 14.65/12.41 $false|~sQ64_spl|sQ147_spl),
% 14.65/12.41 inference(backward_subsumption_resolution,[status(thm)],[f1590,f1893])).
% 14.65/12.41 fof(f1893,plain,(
% 14.65/12.41 ![X0]: (sP0_prd(sK1_skl(sK2_skl(initial_world)),X0)|~sQ64_spl|sQ147_spl)),
% 14.65/12.41 inference(forward_subsumption_resolution,[status(thm)],[f1882,f27])).
% 14.65/12.41 fof(f1894,plain,(
% 14.65/12.41 ~sQ64_spl|sQ147_spl),
% 14.65/12.41 inference(contradiction_clause,[status(thm)],[f1892])).
% 14.65/12.41 fof(f1908,plain,(
% 14.65/12.41 ![X0]: (q(sK4_skl(sK1_skl(sK2_skl(initial_world)),X0))|sP0_prd(sK1_skl(sK2_skl(initial_world)),X0)|~sQ125_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f1331,f26])).
% 14.65/12.41 fof(f1912,plain,(
% 14.65/12.41 ![X0]: (sP0_prd(sK1_skl(sK2_skl(initial_world)),X0)|~sQ125_spl)),
% 14.65/12.41 inference(forward_subsumption_resolution,[status(thm)],[f1908,f27])).
% 14.65/12.41 fof(f1913,plain,(
% 14.65/12.41 ~reachable(initial_world,sK2_skl(initial_world))|reachable(sK0_skl(sK2_skl(initial_world)),sK3_skl(sK2_skl(initial_world)))|~sQ125_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f1912,f18])).
% 14.65/12.41 fof(f1916,plain,(
% 14.65/12.41 ~sQ66_spl|sQ70_spl|~sQ125_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1913,f944,f958,f1330])).
% 14.65/12.41 fof(f1953,plain,(
% 14.65/12.41 ![X0]: (q(X0)|~reachable(sK0_skl(sK0_skl(initial_world)),X0)|~sQ7_spl)),
% 14.65/12.41 inference(resolution,[status(thm)],[f115,f29])).
% 14.65/12.41 fof(f1963,plain,(
% 14.65/12.41 sQ4_spl|~sQ7_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1953,f63,f74])).
% 14.65/12.41 fof(f1991,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK3_skl(sK0_skl(initial_world)))|~sQ44_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f570,f18])).
% 14.65/12.41 fof(f1992,plain,(
% 14.65/12.41 ~reachable(initial_world,sK0_skl(initial_world))|reachable(sK0_skl(sK0_skl(initial_world)),sK2_skl(sK0_skl(initial_world)))|~sQ44_spl),
% 14.65/12.41 inference(resolution,[status(thm)],[f570,f16])).
% 14.65/12.41 fof(f1994,plain,(
% 14.65/12.41 ~sQ25_spl|sQ28_spl|~sQ44_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1991,f214,f225,f344])).
% 14.65/12.41 fof(f1995,plain,(
% 14.65/12.41 ~sQ25_spl|sQ29_spl|~sQ44_spl),
% 14.65/12.41 inference(split_clause,[status(thm)],[f1992,f214,f229,f344])).
% 14.65/12.41 fof(f1997,plain,(
% 14.65/12.41 $false),
% 14.65/12.41 inference(sat_refutation,[status(thm)],[f39,f46,f66,f77,f148,f157,f178,f179,f183,f188,f189,f241,f256,f261,f268,f274,f306,f307,f311,f343,f347,f348,f352,f353,f355,f377,f379,f426,f461,f472,f497,f499,f517,f555,f571,f575,f692,f727,f733,f819,f822,f846,f920,f922,f924,f932,f975,f1000,f1037,f1075,f1166,f1170,f1177,f1191,f1195,f1201,f1218,f1219,f1231,f1266,f1368,f1372,f1379,f1382,f1424,f1425,f1429,f1434,f1435,f1527,f1565,f1566,f1571,f1591,f1611,f1612,f1616,f1621,f1622,f1673,f1693,f1733,f1750,f1789,f1790,f1818,f1821,f1823,f1825,f1878,f1894,f1916,f1963,f1994,f1995])).
% 14.65/12.41 % SZS output end CNFRefutation for theBenchmark.p
% 14.65/12.42 % Elapsed time: 1.955284 seconds
% 14.65/12.42 % CPU time: 15.160763 seconds
% 14.65/12.42 % Total memory used: 81.194 MB
% 14.65/12.42 % Net memory used: 64.325 MB
%------------------------------------------------------------------------------