TSTP Solution File: SYN549+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:52:29 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n015.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 22:18:02 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,axiom,(
% 0.14/0.37 (! [X] : reachable(X,X) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,axiom,(
% 0.14/0.37 (! [X,Y,Z] :( ( reachable(X,Y)& reachable(Y,Z) )=> reachable(X,Z) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f3,conjecture,(
% 0.14/0.37 (? [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) ) )) ) ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f4,negated_conjecture,(
% 0.14/0.37 ~((? [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) ) )) ) ) )) ))),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f3])).
% 0.14/0.37 fof(f5,plain,(
% 0.14/0.37 ![X0]: (reachable(X0,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.37 fof(f6,plain,(
% 0.14/0.37 ![X,Y,Z]: ((~reachable(X,Y)|~reachable(Y,Z))|reachable(X,Z))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.37 fof(f7,plain,(
% 0.14/0.37 ![X,Z]: ((![Y]: (~reachable(X,Y)|~reachable(Y,Z)))|reachable(X,Z))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f6])).
% 0.14/0.37 fof(f8,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~reachable(X0,X1)|~reachable(X1,X2)|reachable(X0,X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.37 fof(f9,plain,(
% 0.14/0.37 (![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)))))))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.37 fof(f10,plain,(
% 0.14/0.37 ![Y,Z]: (pd0_0(Z,Y)<=>(reachable(Y,Z)&(p(Z)|(?[V]: (reachable(Z,V)&q(V))))))),
% 0.14/0.37 introduced(predicate_definition,[f9])).
% 0.14/0.37 fof(f11,plain,(
% 0.14/0.37 ![X]: (~reachable(initial_world,X)|(?[Y]: (reachable(X,Y)&((?[Z]: pd0_0(Z,Y))<~>((?[W]: (reachable(Y,W)&p(W)))|(?[W]: (reachable(Y,W)&q(W))))))))),
% 0.14/0.37 inference(formula_renaming,[status(thm)],[f9,f10])).
% 0.14/0.37 fof(f12,plain,(
% 0.14/0.37 ![X]: (~reachable(initial_world,X)|(?[Y]: (reachable(X,Y)&(((?[Z]: pd0_0(Z,Y))|((?[W]: (reachable(Y,W)&p(W)))|(?[W]: (reachable(Y,W)&q(W)))))&((![Z]: ~pd0_0(Z,Y))|((![W]: (~reachable(Y,W)|~p(W)))&(![W]: (~reachable(Y,W)|~q(W)))))))))),
% 0.14/0.37 inference(NNF_transformation,[status(esa)],[f11])).
% 0.14/0.37 fof(f13,plain,(
% 0.14/0.37 ![X]: (~reachable(initial_world,X)|(reachable(X,sk0_0(X))&((pd0_0(sk0_1(X),sk0_0(X))|((reachable(sk0_0(X),sk0_2(X))&p(sk0_2(X)))|(reachable(sk0_0(X),sk0_3(X))&q(sk0_3(X)))))&((![Z]: ~pd0_0(Z,sk0_0(X)))|((![W]: (~reachable(sk0_0(X),W)|~p(W)))&(![W]: (~reachable(sk0_0(X),W)|~q(W))))))))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f12])).
% 0.14/0.37 fof(f14,plain,(
% 0.14/0.37 ![X0]: (~reachable(initial_world,X0)|reachable(X0,sk0_0(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.37 fof(f15,plain,(
% 0.14/0.37 ![X0]: (~reachable(initial_world,X0)|pd0_0(sk0_1(X0),sk0_0(X0))|reachable(sk0_0(X0),sk0_2(X0))|reachable(sk0_0(X0),sk0_3(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.37 fof(f16,plain,(
% 0.14/0.37 ![X0]: (~reachable(initial_world,X0)|pd0_0(sk0_1(X0),sk0_0(X0))|reachable(sk0_0(X0),sk0_2(X0))|q(sk0_3(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.37 fof(f17,plain,(
% 0.14/0.37 ![X0]: (~reachable(initial_world,X0)|pd0_0(sk0_1(X0),sk0_0(X0))|p(sk0_2(X0))|reachable(sk0_0(X0),sk0_3(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.37 fof(f18,plain,(
% 0.14/0.37 ![X0]: (~reachable(initial_world,X0)|pd0_0(sk0_1(X0),sk0_0(X0))|p(sk0_2(X0))|q(sk0_3(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.37 fof(f19,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),X2)|~p(X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.37 fof(f20,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),X2)|~q(X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.37 fof(f21,plain,(
% 0.14/0.37 ![Y,Z]: ((~pd0_0(Z,Y)|(reachable(Y,Z)&(p(Z)|(?[V]: (reachable(Z,V)&q(V))))))&(pd0_0(Z,Y)|(~reachable(Y,Z)|(~p(Z)&(![V]: (~reachable(Z,V)|~q(V)))))))),
% 0.14/0.37 inference(NNF_transformation,[status(esa)],[f10])).
% 0.14/0.37 fof(f22,plain,(
% 0.14/0.37 (![Y,Z]: (~pd0_0(Z,Y)|(reachable(Y,Z)&(p(Z)|(?[V]: (reachable(Z,V)&q(V)))))))&(![Y,Z]: (pd0_0(Z,Y)|(~reachable(Y,Z)|(~p(Z)&(![V]: (~reachable(Z,V)|~q(V)))))))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f21])).
% 0.14/0.37 fof(f23,plain,(
% 0.14/0.37 (![Y,Z]: (~pd0_0(Z,Y)|(reachable(Y,Z)&(p(Z)|(reachable(Z,sk0_4(Z,Y))&q(sk0_4(Z,Y)))))))&(![Y,Z]: (pd0_0(Z,Y)|(~reachable(Y,Z)|(~p(Z)&(![V]: (~reachable(Z,V)|~q(V)))))))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f22])).
% 0.14/0.37 fof(f24,plain,(
% 0.14/0.37 ![X0,X1]: (~pd0_0(X0,X1)|reachable(X1,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.37 fof(f25,plain,(
% 0.14/0.37 ![X0,X1]: (~pd0_0(X0,X1)|p(X0)|reachable(X0,sk0_4(X0,X1)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.37 fof(f26,plain,(
% 0.14/0.37 ![X0,X1]: (~pd0_0(X0,X1)|p(X0)|q(sk0_4(X0,X1)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.37 fof(f27,plain,(
% 0.14/0.37 ![X0,X1]: (pd0_0(X0,X1)|~reachable(X1,X0)|~p(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.37 fof(f28,plain,(
% 0.14/0.37 ![X0,X1,X2]: (pd0_0(X0,X1)|~reachable(X1,X0)|~reachable(X0,X2)|~q(X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.37 fof(f29,plain,(
% 0.14/0.37 spl0_0 <=> pd0_0(sk0_1(initial_world),sk0_0(initial_world))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f30,plain,(
% 0.14/0.37 pd0_0(sk0_1(initial_world),sk0_0(initial_world))|~spl0_0),
% 0.14/0.37 inference(component_clause,[status(thm)],[f29])).
% 0.14/0.37 fof(f32,plain,(
% 0.14/0.37 spl0_1 <=> p(sk0_2(initial_world))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f33,plain,(
% 0.14/0.37 p(sk0_2(initial_world))|~spl0_1),
% 0.14/0.37 inference(component_clause,[status(thm)],[f32])).
% 0.14/0.37 fof(f35,plain,(
% 0.14/0.37 spl0_2 <=> reachable(sk0_0(initial_world),sk0_3(initial_world))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f36,plain,(
% 0.14/0.37 reachable(sk0_0(initial_world),sk0_3(initial_world))|~spl0_2),
% 0.14/0.37 inference(component_clause,[status(thm)],[f35])).
% 0.14/0.37 fof(f38,plain,(
% 0.14/0.37 pd0_0(sk0_1(initial_world),sk0_0(initial_world))|p(sk0_2(initial_world))|reachable(sk0_0(initial_world),sk0_3(initial_world))),
% 0.14/0.37 inference(resolution,[status(thm)],[f5,f17])).
% 0.14/0.37 fof(f39,plain,(
% 0.14/0.37 spl0_0|spl0_1|spl0_2),
% 0.14/0.37 inference(split_clause,[status(thm)],[f38,f29,f32,f35])).
% 0.14/0.37 fof(f40,plain,(
% 0.14/0.37 spl0_3 <=> reachable(sk0_0(initial_world),sk0_2(initial_world))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f41,plain,(
% 0.14/0.37 reachable(sk0_0(initial_world),sk0_2(initial_world))|~spl0_3),
% 0.14/0.37 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.37 fof(f43,plain,(
% 0.14/0.37 spl0_4 <=> q(sk0_3(initial_world))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f44,plain,(
% 0.14/0.37 q(sk0_3(initial_world))|~spl0_4),
% 0.14/0.37 inference(component_clause,[status(thm)],[f43])).
% 0.14/0.37 fof(f46,plain,(
% 0.14/0.37 pd0_0(sk0_1(initial_world),sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_2(initial_world))|q(sk0_3(initial_world))),
% 0.14/0.37 inference(resolution,[status(thm)],[f5,f16])).
% 0.14/0.37 fof(f47,plain,(
% 0.14/0.37 spl0_0|spl0_3|spl0_4),
% 0.14/0.37 inference(split_clause,[status(thm)],[f46,f29,f40,f43])).
% 0.14/0.37 fof(f48,plain,(
% 0.14/0.37 pd0_0(sk0_1(initial_world),sk0_0(initial_world))|p(sk0_2(initial_world))|q(sk0_3(initial_world))),
% 0.14/0.37 inference(resolution,[status(thm)],[f5,f18])).
% 0.14/0.37 fof(f49,plain,(
% 0.14/0.37 spl0_0|spl0_1|spl0_4),
% 0.14/0.37 inference(split_clause,[status(thm)],[f48,f29,f32,f43])).
% 0.14/0.37 fof(f50,plain,(
% 0.14/0.37 spl0_5 <=> ~pd0_0(X0,sk0_0(initial_world))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f51,plain,(
% 0.14/0.37 ![X0]: (~pd0_0(X0,sk0_0(initial_world))|~spl0_5)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f50])).
% 0.14/0.37 fof(f53,plain,(
% 0.14/0.37 spl0_6 <=> ~reachable(sk0_0(initial_world),X1)|~q(X1)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f54,plain,(
% 0.14/0.37 ![X0]: (~reachable(sk0_0(initial_world),X0)|~q(X0)|~spl0_6)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f53])).
% 0.14/0.37 fof(f56,plain,(
% 0.14/0.37 ![X0,X1]: (~pd0_0(X0,sk0_0(initial_world))|~reachable(sk0_0(initial_world),X1)|~q(X1))),
% 0.14/0.37 inference(resolution,[status(thm)],[f5,f20])).
% 0.14/0.37 fof(f57,plain,(
% 0.14/0.37 spl0_5|spl0_6),
% 0.14/0.37 inference(split_clause,[status(thm)],[f56,f50,f53])).
% 0.14/0.37 fof(f58,plain,(
% 0.14/0.37 pd0_0(sk0_1(initial_world),sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_2(initial_world))|reachable(sk0_0(initial_world),sk0_3(initial_world))),
% 0.14/0.38 inference(resolution,[status(thm)],[f5,f15])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 spl0_0|spl0_3|spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f58,f29,f40,f35])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 reachable(initial_world,sk0_0(initial_world))),
% 0.14/0.38 inference(resolution,[status(thm)],[f5,f14])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 ![X0,X1]: (pd0_0(X0,X0)|~reachable(X0,X1)|~q(X1))),
% 0.14/0.38 inference(resolution,[status(thm)],[f5,f28])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 $false|~spl0_5|~spl0_0),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f30,f51])).
% 0.14/0.38 fof(f63,plain,(
% 0.14/0.38 ~spl0_5|~spl0_0),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f62])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(sk0_0(initial_world),sk0_4(X0,X1))|~pd0_0(X0,X1)|p(X0)|~spl0_6)),
% 0.14/0.38 inference(resolution,[status(thm)],[f54,f26])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 ![X0,X1,X2]: (pd0_0(X0,X0)|~reachable(X0,sk0_4(X1,X2))|~pd0_0(X1,X2)|p(X1))),
% 0.14/0.38 inference(resolution,[status(thm)],[f61,f26])).
% 0.14/0.38 fof(f66,plain,(
% 0.14/0.38 spl0_7 <=> pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f67,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|~spl0_7),
% 0.14/0.38 inference(component_clause,[status(thm)],[f66])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 spl0_8 <=> p(sk0_2(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f70,plain,(
% 0.14/0.38 p(sk0_2(sk0_0(initial_world)))|~spl0_8),
% 0.14/0.38 inference(component_clause,[status(thm)],[f69])).
% 0.14/0.38 fof(f72,plain,(
% 0.14/0.38 spl0_9 <=> reachable(sk0_0(sk0_0(initial_world)),sk0_3(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 reachable(sk0_0(sk0_0(initial_world)),sk0_3(sk0_0(initial_world)))|~spl0_9),
% 0.14/0.38 inference(component_clause,[status(thm)],[f72])).
% 0.14/0.38 fof(f75,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|p(sk0_2(sk0_0(initial_world)))|reachable(sk0_0(sk0_0(initial_world)),sk0_3(sk0_0(initial_world)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f60,f17])).
% 0.14/0.38 fof(f76,plain,(
% 0.14/0.38 spl0_7|spl0_8|spl0_9),
% 0.14/0.38 inference(split_clause,[status(thm)],[f75,f66,f69,f72])).
% 0.14/0.38 fof(f77,plain,(
% 0.14/0.38 spl0_10 <=> reachable(sk0_0(sk0_0(initial_world)),sk0_2(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 reachable(sk0_0(sk0_0(initial_world)),sk0_2(sk0_0(initial_world)))|~spl0_10),
% 0.14/0.38 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.38 fof(f80,plain,(
% 0.14/0.38 spl0_11 <=> q(sk0_3(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f81,plain,(
% 0.14/0.38 q(sk0_3(sk0_0(initial_world)))|~spl0_11),
% 0.14/0.38 inference(component_clause,[status(thm)],[f80])).
% 0.14/0.38 fof(f83,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|reachable(sk0_0(sk0_0(initial_world)),sk0_2(sk0_0(initial_world)))|q(sk0_3(sk0_0(initial_world)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f60,f16])).
% 0.14/0.38 fof(f84,plain,(
% 0.14/0.38 spl0_7|spl0_10|spl0_11),
% 0.14/0.38 inference(split_clause,[status(thm)],[f83,f66,f77,f80])).
% 0.14/0.38 fof(f85,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|p(sk0_2(sk0_0(initial_world)))|q(sk0_3(sk0_0(initial_world)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f60,f18])).
% 0.14/0.38 fof(f86,plain,(
% 0.14/0.38 spl0_7|spl0_8|spl0_11),
% 0.14/0.38 inference(split_clause,[status(thm)],[f85,f66,f69,f80])).
% 0.14/0.38 fof(f87,plain,(
% 0.14/0.38 spl0_12 <=> ~pd0_0(X0,sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f88,plain,(
% 0.14/0.38 ![X0]: (~pd0_0(X0,sk0_0(sk0_0(initial_world)))|~spl0_12)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f87])).
% 0.14/0.38 fof(f90,plain,(
% 0.14/0.38 spl0_13 <=> ~reachable(sk0_0(sk0_0(initial_world)),X1)|~q(X1)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f91,plain,(
% 0.14/0.38 ![X0]: (~reachable(sk0_0(sk0_0(initial_world)),X0)|~q(X0)|~spl0_13)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.38 fof(f95,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|reachable(sk0_0(sk0_0(initial_world)),sk0_2(sk0_0(initial_world)))|reachable(sk0_0(sk0_0(initial_world)),sk0_3(sk0_0(initial_world)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f60,f15])).
% 0.14/0.38 fof(f96,plain,(
% 0.14/0.38 spl0_7|spl0_10|spl0_9),
% 0.14/0.38 inference(split_clause,[status(thm)],[f95,f66,f77,f72])).
% 0.14/0.38 fof(f97,plain,(
% 0.14/0.38 reachable(sk0_0(initial_world),sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f60,f14])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 spl0_14 <=> pd0_0(sk0_0(initial_world),initial_world)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f99,plain,(
% 0.14/0.38 pd0_0(sk0_0(initial_world),initial_world)|~spl0_14),
% 0.14/0.38 inference(component_clause,[status(thm)],[f98])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_0(initial_world),initial_world)|~reachable(sk0_0(initial_world),X0)|~q(X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f60,f28])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 spl0_14|spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f101,f98,f53])).
% 0.14/0.38 fof(f103,plain,(
% 0.14/0.38 $false|~spl0_12|~spl0_7),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f67,f88])).
% 0.14/0.38 fof(f104,plain,(
% 0.14/0.38 ~spl0_12|~spl0_7),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f103])).
% 0.14/0.38 fof(f105,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_2(initial_world))|~spl0_1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f33,f19])).
% 0.14/0.38 fof(f106,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_2(initial_world),X0)|~reachable(X0,sk0_2(initial_world))|~spl0_1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f33,f27])).
% 0.14/0.38 fof(f108,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_2(sk0_0(initial_world)))|~spl0_8)),
% 0.14/0.38 inference(resolution,[status(thm)],[f70,f19])).
% 0.14/0.38 fof(f109,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_2(sk0_0(initial_world)),X0)|~reachable(X0,sk0_2(sk0_0(initial_world)))|~spl0_8)),
% 0.14/0.38 inference(resolution,[status(thm)],[f70,f27])).
% 0.14/0.38 fof(f110,plain,(
% 0.14/0.38 spl0_15 <=> reachable(initial_world,initial_world)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f112,plain,(
% 0.14/0.38 ~reachable(initial_world,initial_world)|spl0_15),
% 0.14/0.38 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.38 fof(f113,plain,(
% 0.14/0.38 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~spl0_3|~spl0_1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f41,f105])).
% 0.14/0.38 fof(f114,plain,(
% 0.14/0.38 ~spl0_15|spl0_5|~spl0_3|~spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f113,f110,f50,f40,f32])).
% 0.14/0.38 fof(f115,plain,(
% 0.14/0.38 spl0_16 <=> pd0_0(sk0_2(initial_world),sk0_0(initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f116,plain,(
% 0.14/0.38 pd0_0(sk0_2(initial_world),sk0_0(initial_world))|~spl0_16),
% 0.14/0.38 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.38 fof(f123,plain,(
% 0.14/0.38 $false|spl0_15),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f112,f5])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 spl0_15),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f123])).
% 0.14/0.38 fof(f125,plain,(
% 0.14/0.38 $false|~spl0_5|~spl0_16),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f116,f51])).
% 0.14/0.38 fof(f126,plain,(
% 0.14/0.38 ~spl0_5|~spl0_16),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f125])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 ![X0]: (pd0_0(X0,X0)|~reachable(X0,sk0_3(initial_world))|~spl0_4)),
% 0.14/0.38 inference(resolution,[status(thm)],[f44,f61])).
% 0.14/0.38 fof(f131,plain,(
% 0.14/0.38 ~reachable(sk0_0(initial_world),sk0_3(initial_world))|~spl0_4|~spl0_6),
% 0.14/0.38 inference(resolution,[status(thm)],[f44,f54])).
% 0.14/0.38 fof(f132,plain,(
% 0.14/0.38 $false|~spl0_2|~spl0_4|~spl0_6),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f131,f36])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 ~spl0_2|~spl0_4|~spl0_6),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f132])).
% 0.14/0.38 fof(f135,plain,(
% 0.14/0.38 ~reachable(sk0_0(sk0_0(initial_world)),sk0_3(sk0_0(initial_world)))|~spl0_11|~spl0_13),
% 0.14/0.38 inference(resolution,[status(thm)],[f81,f91])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 $false|~spl0_9|~spl0_11|~spl0_13),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f135,f73])).
% 0.14/0.38 fof(f137,plain,(
% 0.14/0.38 ~spl0_9|~spl0_11|~spl0_13),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f136])).
% 0.14/0.38 fof(f143,plain,(
% 0.14/0.38 spl0_19 <=> p(sk0_1(initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f144,plain,(
% 0.14/0.38 p(sk0_1(initial_world))|~spl0_19),
% 0.14/0.38 inference(component_clause,[status(thm)],[f143])).
% 0.14/0.38 fof(f148,plain,(
% 0.14/0.38 spl0_20 <=> reachable(sk0_1(initial_world),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f149,plain,(
% 0.14/0.38 reachable(sk0_1(initial_world),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_20),
% 0.14/0.38 inference(component_clause,[status(thm)],[f148])).
% 0.14/0.38 fof(f151,plain,(
% 0.14/0.38 p(sk0_1(initial_world))|reachable(sk0_1(initial_world),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_0),
% 0.14/0.38 inference(resolution,[status(thm)],[f30,f25])).
% 0.14/0.38 fof(f152,plain,(
% 0.14/0.38 spl0_19|spl0_20|~spl0_0),
% 0.14/0.38 inference(split_clause,[status(thm)],[f151,f143,f148,f29])).
% 0.14/0.38 fof(f153,plain,(
% 0.14/0.38 reachable(sk0_0(initial_world),sk0_1(initial_world))|~spl0_0),
% 0.14/0.38 inference(resolution,[status(thm)],[f30,f24])).
% 0.14/0.38 fof(f154,plain,(
% 0.14/0.38 spl0_21 <=> pd0_0(sk0_0(sk0_0(initial_world)),sk0_0(initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f155,plain,(
% 0.14/0.38 pd0_0(sk0_0(sk0_0(initial_world)),sk0_0(initial_world))|~spl0_21),
% 0.14/0.38 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.38 fof(f157,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_0(sk0_0(initial_world)),sk0_0(initial_world))|~reachable(sk0_0(sk0_0(initial_world)),X0)|~q(X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f97,f28])).
% 0.14/0.38 fof(f158,plain,(
% 0.14/0.38 spl0_21|spl0_13),
% 0.14/0.38 inference(split_clause,[status(thm)],[f157,f154,f90])).
% 0.14/0.38 fof(f159,plain,(
% 0.14/0.38 spl0_22 <=> reachable(initial_world,sk0_0(initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f161,plain,(
% 0.14/0.38 ~reachable(initial_world,sk0_0(initial_world))|spl0_22),
% 0.14/0.38 inference(component_clause,[status(thm)],[f159])).
% 0.14/0.38 fof(f162,plain,(
% 0.14/0.38 ![X0]: (~reachable(initial_world,sk0_0(initial_world))|~pd0_0(X0,sk0_0(sk0_0(initial_world)))|~spl0_10|~spl0_8)),
% 0.14/0.38 inference(resolution,[status(thm)],[f78,f108])).
% 0.14/0.38 fof(f163,plain,(
% 0.14/0.38 ~spl0_22|spl0_12|~spl0_10|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f162,f159,f87,f77,f69])).
% 0.14/0.38 fof(f164,plain,(
% 0.14/0.38 spl0_23 <=> pd0_0(sk0_2(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f165,plain,(
% 0.14/0.38 pd0_0(sk0_2(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|~spl0_23),
% 0.14/0.38 inference(component_clause,[status(thm)],[f164])).
% 0.14/0.38 fof(f167,plain,(
% 0.14/0.38 spl0_24 <=> ~reachable(sk0_2(sk0_0(initial_world)),X0)|~q(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f170,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_2(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|~reachable(sk0_2(sk0_0(initial_world)),X0)|~q(X0)|~spl0_10)),
% 0.14/0.38 inference(resolution,[status(thm)],[f78,f28])).
% 0.14/0.38 fof(f171,plain,(
% 0.14/0.38 spl0_23|spl0_24|~spl0_10),
% 0.14/0.38 inference(split_clause,[status(thm)],[f170,f164,f167,f77])).
% 0.14/0.38 fof(f172,plain,(
% 0.14/0.38 $false|spl0_22),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f161,f60])).
% 0.14/0.38 fof(f173,plain,(
% 0.14/0.38 spl0_22),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f172])).
% 0.14/0.38 fof(f174,plain,(
% 0.14/0.38 $false|~spl0_12|~spl0_23),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f165,f88])).
% 0.14/0.38 fof(f175,plain,(
% 0.14/0.38 ~spl0_12|~spl0_23),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f174])).
% 0.14/0.38 fof(f179,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_1(initial_world))|~spl0_19)),
% 0.14/0.38 inference(resolution,[status(thm)],[f144,f19])).
% 0.14/0.38 fof(f181,plain,(
% 0.14/0.38 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~spl0_0|~spl0_19)),
% 0.14/0.38 inference(resolution,[status(thm)],[f153,f179])).
% 0.14/0.38 fof(f182,plain,(
% 0.14/0.38 ~spl0_15|spl0_5|~spl0_0|~spl0_19),
% 0.14/0.38 inference(split_clause,[status(thm)],[f181,f110,f50,f29,f143])).
% 0.14/0.38 fof(f188,plain,(
% 0.14/0.38 $false|~spl0_5|~spl0_21),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f155,f51])).
% 0.14/0.38 fof(f189,plain,(
% 0.14/0.38 ~spl0_5|~spl0_21),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f188])).
% 0.14/0.38 fof(f194,plain,(
% 0.14/0.38 spl0_26 <=> pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_0(initial_world),initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f197,plain,(
% 0.14/0.38 spl0_27 <=> p(sk0_0(initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f198,plain,(
% 0.14/0.38 p(sk0_0(initial_world))|~spl0_27),
% 0.14/0.38 inference(component_clause,[status(thm)],[f197])).
% 0.14/0.38 fof(f200,plain,(
% 0.14/0.38 ![X0]: (pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_0(initial_world),initial_world))|p(sk0_0(initial_world))|~spl0_14)),
% 0.14/0.38 inference(resolution,[status(thm)],[f99,f65])).
% 0.14/0.38 fof(f201,plain,(
% 0.14/0.38 spl0_26|spl0_27|~spl0_14),
% 0.14/0.38 inference(split_clause,[status(thm)],[f200,f194,f197,f98])).
% 0.14/0.38 fof(f202,plain,(
% 0.14/0.38 spl0_28 <=> reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f205,plain,(
% 0.14/0.38 p(sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),initial_world))|~spl0_14),
% 0.14/0.38 inference(resolution,[status(thm)],[f99,f25])).
% 0.14/0.38 fof(f206,plain,(
% 0.14/0.38 spl0_27|spl0_28|~spl0_14),
% 0.14/0.38 inference(split_clause,[status(thm)],[f205,f197,f202,f98])).
% 0.14/0.38 fof(f213,plain,(
% 0.14/0.38 spl0_29 <=> pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f214,plain,(
% 0.14/0.38 ![X0]: (pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))|~spl0_29)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f213])).
% 0.14/0.38 fof(f216,plain,(
% 0.14/0.38 spl0_30 <=> p(sk0_1(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f217,plain,(
% 0.14/0.38 p(sk0_1(sk0_0(initial_world)))|~spl0_30),
% 0.14/0.38 inference(component_clause,[status(thm)],[f216])).
% 0.14/0.38 fof(f219,plain,(
% 0.14/0.38 ![X0]: (pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))|p(sk0_1(sk0_0(initial_world)))|~spl0_7)),
% 0.14/0.38 inference(resolution,[status(thm)],[f67,f65])).
% 0.14/0.38 fof(f220,plain,(
% 0.14/0.38 spl0_29|spl0_30|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f219,f213,f216,f66])).
% 0.14/0.38 fof(f221,plain,(
% 0.14/0.38 spl0_31 <=> reachable(sk0_1(sk0_0(initial_world)),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f222,plain,(
% 0.14/0.38 reachable(sk0_1(sk0_0(initial_world)),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))|~spl0_31),
% 0.14/0.38 inference(component_clause,[status(thm)],[f221])).
% 0.14/0.38 fof(f224,plain,(
% 0.14/0.38 p(sk0_1(sk0_0(initial_world)))|reachable(sk0_1(sk0_0(initial_world)),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f67,f25])).
% 0.14/0.38 fof(f225,plain,(
% 0.14/0.38 spl0_30|spl0_31|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f224,f216,f221,f66])).
% 0.14/0.38 fof(f226,plain,(
% 0.14/0.38 reachable(sk0_0(sk0_0(initial_world)),sk0_1(sk0_0(initial_world)))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f67,f24])).
% 0.14/0.38 fof(f227,plain,(
% 0.14/0.38 pd0_0(sk0_2(initial_world),sk0_0(initial_world))|~spl0_1|~spl0_3),
% 0.14/0.38 inference(resolution,[status(thm)],[f106,f41])).
% 0.14/0.38 fof(f228,plain,(
% 0.14/0.38 spl0_16|~spl0_1|~spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f227,f115,f32,f40])).
% 0.14/0.38 fof(f230,plain,(
% 0.14/0.38 ![X0]: (~reachable(X0,sk0_0(initial_world))|reachable(X0,sk0_0(sk0_0(initial_world))))),
% 0.14/0.38 inference(resolution,[status(thm)],[f8,f97])).
% 0.14/0.38 fof(f233,plain,(
% 0.14/0.38 reachable(initial_world,sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f230,f60])).
% 0.14/0.38 fof(f235,plain,(
% 0.14/0.38 pd0_0(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))|~spl0_29),
% 0.14/0.38 inference(resolution,[status(thm)],[f214,f5])).
% 0.14/0.38 fof(f236,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_0(initial_world))|~spl0_27)),
% 0.14/0.38 inference(resolution,[status(thm)],[f198,f19])).
% 0.14/0.38 fof(f238,plain,(
% 0.14/0.38 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~spl0_27)),
% 0.14/0.38 inference(resolution,[status(thm)],[f236,f5])).
% 0.14/0.38 fof(f239,plain,(
% 0.14/0.38 ~spl0_15|spl0_5|~spl0_27),
% 0.14/0.38 inference(split_clause,[status(thm)],[f238,f110,f50,f197])).
% 0.14/0.38 fof(f245,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_1(sk0_0(initial_world)))|~spl0_30)),
% 0.14/0.38 inference(resolution,[status(thm)],[f217,f19])).
% 0.14/0.38 fof(f285,plain,(
% 0.14/0.38 spl0_39 <=> pd0_0(sk0_0(sk0_0(initial_world)),initial_world)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f286,plain,(
% 0.14/0.38 pd0_0(sk0_0(sk0_0(initial_world)),initial_world)|~spl0_39),
% 0.14/0.38 inference(component_clause,[status(thm)],[f285])).
% 0.14/0.38 fof(f294,plain,(
% 0.14/0.38 pd0_0(sk0_0(initial_world),sk0_0(initial_world))|~spl0_2|~spl0_4),
% 0.14/0.38 inference(resolution,[status(thm)],[f36,f130])).
% 0.14/0.38 fof(f295,plain,(
% 0.14/0.38 $false|~spl0_5|~spl0_2|~spl0_4),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f294,f51])).
% 0.14/0.38 fof(f296,plain,(
% 0.14/0.38 ~spl0_5|~spl0_2|~spl0_4),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f295])).
% 0.14/0.38 fof(f306,plain,(
% 0.14/0.38 spl0_40 <=> pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_0(sk0_0(initial_world)),initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f309,plain,(
% 0.14/0.38 spl0_41 <=> p(sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f310,plain,(
% 0.14/0.38 p(sk0_0(sk0_0(initial_world)))|~spl0_41),
% 0.14/0.38 inference(component_clause,[status(thm)],[f309])).
% 0.14/0.38 fof(f312,plain,(
% 0.14/0.38 ![X0]: (pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_0(sk0_0(initial_world)),initial_world))|p(sk0_0(sk0_0(initial_world)))|~spl0_39)),
% 0.14/0.38 inference(resolution,[status(thm)],[f286,f65])).
% 0.14/0.38 fof(f313,plain,(
% 0.14/0.38 spl0_40|spl0_41|~spl0_39),
% 0.14/0.38 inference(split_clause,[status(thm)],[f312,f306,f309,f285])).
% 0.14/0.38 fof(f314,plain,(
% 0.14/0.38 spl0_42 <=> reachable(sk0_0(sk0_0(initial_world)),sk0_4(sk0_0(sk0_0(initial_world)),initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f317,plain,(
% 0.14/0.38 p(sk0_0(sk0_0(initial_world)))|reachable(sk0_0(sk0_0(initial_world)),sk0_4(sk0_0(sk0_0(initial_world)),initial_world))|~spl0_39),
% 0.14/0.38 inference(resolution,[status(thm)],[f286,f25])).
% 0.14/0.38 fof(f318,plain,(
% 0.14/0.38 spl0_41|spl0_42|~spl0_39),
% 0.14/0.38 inference(split_clause,[status(thm)],[f317,f309,f314,f285])).
% 0.14/0.38 fof(f321,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_0(sk0_0(initial_world)))|~spl0_41)),
% 0.14/0.38 inference(resolution,[status(thm)],[f310,f19])).
% 0.14/0.38 fof(f323,plain,(
% 0.14/0.38 spl0_43 <=> reachable(sk0_0(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f325,plain,(
% 0.14/0.38 ~reachable(sk0_0(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|spl0_43),
% 0.14/0.38 inference(component_clause,[status(thm)],[f323])).
% 0.14/0.38 fof(f326,plain,(
% 0.14/0.38 ~reachable(initial_world,sk0_0(initial_world))|~reachable(sk0_0(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|~spl0_41|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f321,f67])).
% 0.14/0.38 fof(f327,plain,(
% 0.14/0.38 ~spl0_22|~spl0_43|~spl0_41|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f326,f159,f323,f309,f66])).
% 0.14/0.38 fof(f328,plain,(
% 0.14/0.38 $false|spl0_43),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f325,f5])).
% 0.14/0.38 fof(f329,plain,(
% 0.14/0.38 spl0_43),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f328])).
% 0.14/0.38 fof(f336,plain,(
% 0.14/0.38 ![X0]: (~reachable(X0,sk0_1(initial_world))|reachable(X0,sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_20)),
% 0.14/0.38 inference(resolution,[status(thm)],[f149,f8])).
% 0.14/0.38 fof(f353,plain,(
% 0.14/0.38 pd0_0(sk0_2(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|~spl0_8|~spl0_10),
% 0.14/0.38 inference(resolution,[status(thm)],[f109,f78])).
% 0.14/0.38 fof(f354,plain,(
% 0.14/0.38 spl0_23|~spl0_8|~spl0_10),
% 0.14/0.38 inference(split_clause,[status(thm)],[f353,f164,f69,f77])).
% 0.14/0.38 fof(f500,plain,(
% 0.14/0.38 ![X0]: (~reachable(initial_world,sk0_0(initial_world))|~pd0_0(X0,sk0_0(sk0_0(initial_world)))|~spl0_7|~spl0_30)),
% 0.14/0.38 inference(resolution,[status(thm)],[f226,f245])).
% 0.14/0.38 fof(f501,plain,(
% 0.14/0.38 ~spl0_22|spl0_12|~spl0_7|~spl0_30),
% 0.14/0.38 inference(split_clause,[status(thm)],[f500,f159,f87,f66,f216])).
% 0.14/0.38 fof(f502,plain,(
% 0.14/0.38 ![X0]: (~reachable(X0,sk0_0(sk0_0(initial_world)))|reachable(X0,sk0_1(sk0_0(initial_world)))|~spl0_7)),
% 0.14/0.38 inference(resolution,[status(thm)],[f226,f8])).
% 0.14/0.38 fof(f503,plain,(
% 0.14/0.38 spl0_68 <=> ~reachable(sk0_1(sk0_0(initial_world)),X0)|~q(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f504,plain,(
% 0.14/0.38 ![X0]: (~reachable(sk0_1(sk0_0(initial_world)),X0)|~q(X0)|~spl0_68)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f503])).
% 0.14/0.38 fof(f510,plain,(
% 0.14/0.38 spl0_69 <=> reachable(sk0_0(initial_world),sk0_0(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f512,plain,(
% 0.14/0.38 ~reachable(sk0_0(initial_world),sk0_0(sk0_0(initial_world)))|spl0_69),
% 0.14/0.38 inference(component_clause,[status(thm)],[f510])).
% 0.14/0.38 fof(f515,plain,(
% 0.14/0.38 $false|spl0_69),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f512,f97])).
% 0.14/0.38 fof(f516,plain,(
% 0.14/0.38 spl0_69),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f515])).
% 0.14/0.38 fof(f518,plain,(
% 0.14/0.38 reachable(sk0_0(initial_world),sk0_1(sk0_0(initial_world)))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f502,f97])).
% 0.14/0.38 fof(f519,plain,(
% 0.14/0.38 reachable(initial_world,sk0_1(sk0_0(initial_world)))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f502,f233])).
% 0.14/0.38 fof(f522,plain,(
% 0.14/0.38 spl0_70 <=> pd0_0(sk0_1(sk0_1(sk0_0(initial_world))),sk0_0(sk0_1(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f523,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_1(sk0_0(initial_world))),sk0_0(sk0_1(sk0_0(initial_world))))|~spl0_70),
% 0.14/0.38 inference(component_clause,[status(thm)],[f522])).
% 0.14/0.38 fof(f525,plain,(
% 0.14/0.38 spl0_71 <=> p(sk0_2(sk0_1(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f528,plain,(
% 0.14/0.38 spl0_72 <=> reachable(sk0_0(sk0_1(sk0_0(initial_world))),sk0_3(sk0_1(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f531,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_1(sk0_0(initial_world))),sk0_0(sk0_1(sk0_0(initial_world))))|p(sk0_2(sk0_1(sk0_0(initial_world))))|reachable(sk0_0(sk0_1(sk0_0(initial_world))),sk0_3(sk0_1(sk0_0(initial_world))))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f519,f17])).
% 0.14/0.38 fof(f532,plain,(
% 0.14/0.38 spl0_70|spl0_71|spl0_72|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f531,f522,f525,f528,f66])).
% 0.14/0.38 fof(f533,plain,(
% 0.14/0.38 spl0_73 <=> reachable(sk0_0(sk0_1(sk0_0(initial_world))),sk0_2(sk0_1(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f536,plain,(
% 0.14/0.38 spl0_74 <=> q(sk0_3(sk0_1(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f539,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_1(sk0_0(initial_world))),sk0_0(sk0_1(sk0_0(initial_world))))|reachable(sk0_0(sk0_1(sk0_0(initial_world))),sk0_2(sk0_1(sk0_0(initial_world))))|q(sk0_3(sk0_1(sk0_0(initial_world))))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f519,f16])).
% 0.14/0.38 fof(f540,plain,(
% 0.14/0.38 spl0_70|spl0_73|spl0_74|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f539,f522,f533,f536,f66])).
% 0.14/0.38 fof(f541,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_1(sk0_0(initial_world))),sk0_0(sk0_1(sk0_0(initial_world))))|p(sk0_2(sk0_1(sk0_0(initial_world))))|q(sk0_3(sk0_1(sk0_0(initial_world))))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f519,f18])).
% 0.14/0.38 fof(f542,plain,(
% 0.14/0.38 spl0_70|spl0_71|spl0_74|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f541,f522,f525,f536,f66])).
% 0.14/0.38 fof(f543,plain,(
% 0.14/0.38 spl0_75 <=> ~pd0_0(X0,sk0_0(sk0_1(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f544,plain,(
% 0.14/0.38 ![X0]: (~pd0_0(X0,sk0_0(sk0_1(sk0_0(initial_world))))|~spl0_75)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f543])).
% 0.14/0.38 fof(f546,plain,(
% 0.14/0.38 spl0_76 <=> ~reachable(sk0_0(sk0_1(sk0_0(initial_world))),X1)|~q(X1)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f549,plain,(
% 0.14/0.38 ![X0,X1]: (~pd0_0(X0,sk0_0(sk0_1(sk0_0(initial_world))))|~reachable(sk0_0(sk0_1(sk0_0(initial_world))),X1)|~q(X1)|~spl0_7)),
% 0.14/0.38 inference(resolution,[status(thm)],[f519,f20])).
% 0.14/0.38 fof(f550,plain,(
% 0.14/0.38 spl0_75|spl0_76|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f549,f543,f546,f66])).
% 0.14/0.38 fof(f551,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_1(sk0_0(initial_world))),sk0_0(sk0_1(sk0_0(initial_world))))|reachable(sk0_0(sk0_1(sk0_0(initial_world))),sk0_2(sk0_1(sk0_0(initial_world))))|reachable(sk0_0(sk0_1(sk0_0(initial_world))),sk0_3(sk0_1(sk0_0(initial_world))))|~spl0_7),
% 0.14/0.38 inference(resolution,[status(thm)],[f519,f15])).
% 0.14/0.38 fof(f552,plain,(
% 0.14/0.38 spl0_70|spl0_73|spl0_72|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f551,f522,f533,f528,f66])).
% 0.14/0.38 fof(f555,plain,(
% 0.14/0.38 spl0_77 <=> pd0_0(sk0_1(sk0_0(initial_world)),initial_world)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f556,plain,(
% 0.14/0.38 pd0_0(sk0_1(sk0_0(initial_world)),initial_world)|~spl0_77),
% 0.14/0.38 inference(component_clause,[status(thm)],[f555])).
% 0.14/0.38 fof(f558,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_1(sk0_0(initial_world)),initial_world)|~reachable(sk0_1(sk0_0(initial_world)),X0)|~q(X0)|~spl0_7)),
% 0.14/0.38 inference(resolution,[status(thm)],[f519,f28])).
% 0.14/0.38 fof(f559,plain,(
% 0.14/0.38 spl0_77|spl0_68|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f558,f555,f503,f66])).
% 0.14/0.38 fof(f560,plain,(
% 0.14/0.38 $false|~spl0_75|~spl0_70),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f523,f544])).
% 0.14/0.38 fof(f561,plain,(
% 0.14/0.38 ~spl0_75|~spl0_70),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f560])).
% 0.14/0.38 fof(f564,plain,(
% 0.14/0.38 spl0_78 <=> pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_1(sk0_0(initial_world)),initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f567,plain,(
% 0.14/0.38 ![X0]: (pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_1(sk0_0(initial_world)),initial_world))|p(sk0_1(sk0_0(initial_world)))|~spl0_77)),
% 0.14/0.38 inference(resolution,[status(thm)],[f556,f65])).
% 0.14/0.38 fof(f568,plain,(
% 0.14/0.38 spl0_78|spl0_30|~spl0_77),
% 0.14/0.38 inference(split_clause,[status(thm)],[f567,f564,f216,f555])).
% 0.14/0.38 fof(f569,plain,(
% 0.14/0.38 spl0_79 <=> reachable(sk0_1(sk0_0(initial_world)),sk0_4(sk0_1(sk0_0(initial_world)),initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f572,plain,(
% 0.14/0.38 p(sk0_1(sk0_0(initial_world)))|reachable(sk0_1(sk0_0(initial_world)),sk0_4(sk0_1(sk0_0(initial_world)),initial_world))|~spl0_77),
% 0.14/0.38 inference(resolution,[status(thm)],[f556,f25])).
% 0.14/0.38 fof(f573,plain,(
% 0.14/0.38 spl0_30|spl0_79|~spl0_77),
% 0.14/0.38 inference(split_clause,[status(thm)],[f572,f216,f569,f555])).
% 0.14/0.38 fof(f574,plain,(
% 0.14/0.38 ![X0,X1]: (~reachable(sk0_1(sk0_0(initial_world)),sk0_4(X0,X1))|~pd0_0(X0,X1)|p(X0)|~spl0_68)),
% 0.14/0.38 inference(resolution,[status(thm)],[f504,f26])).
% 0.14/0.38 fof(f578,plain,(
% 0.14/0.38 spl0_80 <=> pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(initial_world))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f581,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(initial_world))|~reachable(sk0_1(sk0_0(initial_world)),X0)|~q(X0)|~spl0_7)),
% 0.14/0.38 inference(resolution,[status(thm)],[f518,f28])).
% 0.14/0.38 fof(f582,plain,(
% 0.14/0.38 spl0_80|spl0_68|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f581,f578,f503,f66])).
% 0.14/0.38 fof(f608,plain,(
% 0.14/0.38 reachable(sk0_0(initial_world),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_20|~spl0_0),
% 0.14/0.38 inference(resolution,[status(thm)],[f336,f153])).
% 0.14/0.38 fof(f624,plain,(
% 0.14/0.38 ~pd0_0(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))|p(sk0_1(sk0_0(initial_world)))|~spl0_31|~spl0_68),
% 0.14/0.38 inference(resolution,[status(thm)],[f222,f574])).
% 0.14/0.38 fof(f625,plain,(
% 0.14/0.38 ~spl0_7|spl0_30|~spl0_31|~spl0_68),
% 0.14/0.38 inference(split_clause,[status(thm)],[f624,f66,f216,f221,f503])).
% 0.14/0.38 fof(f628,plain,(
% 0.14/0.38 spl0_87 <=> pd0_0(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_1(sk0_0(initial_world)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f631,plain,(
% 0.14/0.38 spl0_88 <=> ~reachable(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),X0)|~q(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f634,plain,(
% 0.14/0.38 ![X0]: (pd0_0(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_1(sk0_0(initial_world)))|~reachable(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),X0)|~q(X0)|~spl0_31)),
% 0.14/0.38 inference(resolution,[status(thm)],[f222,f28])).
% 0.14/0.38 fof(f635,plain,(
% 0.14/0.38 spl0_87|spl0_88|~spl0_31),
% 0.14/0.38 inference(split_clause,[status(thm)],[f634,f628,f631,f221])).
% 0.14/0.38 fof(f650,plain,(
% 0.14/0.38 spl0_91 <=> pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f653,plain,(
% 0.14/0.38 spl0_92 <=> p(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f656,plain,(
% 0.14/0.38 ![X0]: (pd0_0(X0,X0)|~reachable(X0,sk0_4(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))))|p(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))|~spl0_29)),
% 0.14/0.38 inference(resolution,[status(thm)],[f235,f65])).
% 0.14/0.38 fof(f657,plain,(
% 0.14/0.38 spl0_91|spl0_92|~spl0_29),
% 0.14/0.38 inference(split_clause,[status(thm)],[f656,f650,f653,f213])).
% 0.14/0.38 fof(f658,plain,(
% 0.14/0.38 spl0_93 <=> reachable(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_4(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f661,plain,(
% 0.14/0.38 p(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))))|reachable(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_4(sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world))),sk0_4(sk0_1(sk0_0(initial_world)),sk0_0(sk0_0(initial_world)))))|~spl0_29),
% 0.14/0.38 inference(resolution,[status(thm)],[f235,f25])).
% 0.14/0.38 fof(f662,plain,(
% 0.14/0.38 spl0_92|spl0_93|~spl0_29),
% 0.14/0.38 inference(split_clause,[status(thm)],[f661,f653,f658,f213])).
% 0.14/0.38 fof(f664,plain,(
% 0.14/0.38 ~pd0_0(sk0_1(initial_world),sk0_0(initial_world))|p(sk0_1(initial_world))|~spl0_20|~spl0_0|~spl0_6),
% 0.14/0.38 inference(resolution,[status(thm)],[f608,f64])).
% 0.14/0.38 fof(f665,plain,(
% 0.14/0.38 ~spl0_0|spl0_19|~spl0_20|~spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f664,f29,f143,f148,f53])).
% 0.14/0.38 fof(f673,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f39,f47,f49,f57,f59,f63,f76,f84,f86,f96,f102,f104,f114,f124,f126,f133,f137,f152,f158,f163,f171,f173,f175,f182,f189,f201,f206,f220,f225,f228,f239,f296,f313,f318,f327,f329,f354,f501,f516,f532,f540,f542,f550,f552,f559,f561,f568,f573,f582,f625,f635,f657,f662,f665])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.078939 seconds
% 0.14/0.38 % CPU time: 0.536739 seconds
% 0.14/0.38 % Total memory used: 16.646 MB
% 0.14/0.38 % Net memory used: 16.176 MB
%------------------------------------------------------------------------------