TSTP Solution File: SYN549+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n016.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 : Wed May 31 12:47:05 EDT 2023
% Result : Theorem 0.06s 0.29s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n016.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 10:53:43 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.29 % Refutation found
% 0.06/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.29 % SZS output start CNFRefutation for theBenchmark
% 0.06/0.29 fof(f1,axiom,(
% 0.06/0.29 (! [X] : reachable(X,X) )),
% 0.06/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.29 fof(f2,axiom,(
% 0.06/0.29 (! [X,Y,Z] :( ( reachable(X,Y)& reachable(Y,Z) )=> reachable(X,Z) ) )),
% 0.06/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.29 fof(f3,conjecture,(
% 0.06/0.29 (? [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) ) )) ) ) )) )),
% 0.06/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.29 fof(f4,negated_conjecture,(
% 0.06/0.29 ~((? [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) ) )) ) ) )) ))),
% 0.06/0.29 inference(negated_conjecture,[status(cth)],[f3])).
% 0.06/0.29 fof(f5,plain,(
% 0.06/0.29 ![X0]: (reachable(X0,X0))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f1])).
% 0.06/0.29 fof(f6,plain,(
% 0.06/0.29 ![X,Y,Z]: ((~reachable(X,Y)|~reachable(Y,Z))|reachable(X,Z))),
% 0.06/0.29 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.06/0.29 fof(f7,plain,(
% 0.06/0.29 ![X,Z]: ((![Y]: (~reachable(X,Y)|~reachable(Y,Z)))|reachable(X,Z))),
% 0.06/0.29 inference(miniscoping,[status(esa)],[f6])).
% 0.06/0.29 fof(f8,plain,(
% 0.06/0.29 ![X0,X1,X2]: (~reachable(X0,X1)|~reachable(X1,X2)|reachable(X0,X2))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f7])).
% 0.06/0.29 fof(f9,plain,(
% 0.06/0.29 (![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)))))))))),
% 0.06/0.29 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.06/0.29 fof(f10,plain,(
% 0.06/0.29 ![Y,Z]: (pd0_0(Z,Y)<=>(reachable(Y,Z)&(p(Z)|(?[V]: (reachable(Z,V)&q(V))))))),
% 0.06/0.29 introduced(predicate_definition,[f9])).
% 0.06/0.29 fof(f11,plain,(
% 0.06/0.29 ![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))))))))),
% 0.06/0.29 inference(formula_renaming,[status(thm)],[f9,f10])).
% 0.06/0.29 fof(f12,plain,(
% 0.06/0.29 ![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)))))))))),
% 0.06/0.29 inference(NNF_transformation,[status(esa)],[f11])).
% 0.06/0.29 fof(f13,plain,(
% 0.06/0.29 ![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))))))))),
% 0.06/0.29 inference(skolemization,[status(esa)],[f12])).
% 0.06/0.29 fof(f14,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,X0)|reachable(X0,sk0_0(X0)))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.29 fof(f15,plain,(
% 0.06/0.29 ![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)))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.29 fof(f16,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,X0)|pd0_0(sk0_1(X0),sk0_0(X0))|reachable(sk0_0(X0),sk0_2(X0))|q(sk0_3(X0)))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.29 fof(f17,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,X0)|pd0_0(sk0_1(X0),sk0_0(X0))|p(sk0_2(X0))|reachable(sk0_0(X0),sk0_3(X0)))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.29 fof(f18,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,X0)|pd0_0(sk0_1(X0),sk0_0(X0))|p(sk0_2(X0))|q(sk0_3(X0)))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.29 fof(f19,plain,(
% 0.06/0.29 ![X0,X1,X2]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),X2)|~p(X2))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.29 fof(f20,plain,(
% 0.06/0.29 ![X0,X1,X2]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),X2)|~q(X2))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.29 fof(f21,plain,(
% 0.06/0.29 ![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)))))))),
% 0.06/0.29 inference(NNF_transformation,[status(esa)],[f10])).
% 0.06/0.29 fof(f22,plain,(
% 0.06/0.29 (![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)))))))),
% 0.06/0.29 inference(miniscoping,[status(esa)],[f21])).
% 0.06/0.29 fof(f23,plain,(
% 0.06/0.29 (![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)))))))),
% 0.06/0.29 inference(skolemization,[status(esa)],[f22])).
% 0.06/0.29 fof(f24,plain,(
% 0.06/0.29 ![X0,X1]: (~pd0_0(X0,X1)|reachable(X1,X0))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f23])).
% 0.06/0.29 fof(f25,plain,(
% 0.06/0.29 ![X0,X1]: (~pd0_0(X0,X1)|p(X0)|reachable(X0,sk0_4(X0,X1)))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f23])).
% 0.06/0.29 fof(f26,plain,(
% 0.06/0.29 ![X0,X1]: (~pd0_0(X0,X1)|p(X0)|q(sk0_4(X0,X1)))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f23])).
% 0.06/0.29 fof(f27,plain,(
% 0.06/0.29 ![X0,X1]: (pd0_0(X0,X1)|~reachable(X1,X0)|~p(X0))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f23])).
% 0.06/0.29 fof(f28,plain,(
% 0.06/0.29 ![X0,X1,X2]: (pd0_0(X0,X1)|~reachable(X1,X0)|~reachable(X0,X2)|~q(X2))),
% 0.06/0.29 inference(cnf_transformation,[status(esa)],[f23])).
% 0.06/0.29 fof(f29,plain,(
% 0.06/0.29 spl0_0 <=> pd0_0(sk0_1(initial_world),sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f30,plain,(
% 0.06/0.29 pd0_0(sk0_1(initial_world),sk0_0(initial_world))|~spl0_0),
% 0.06/0.29 inference(component_clause,[status(thm)],[f29])).
% 0.06/0.29 fof(f32,plain,(
% 0.06/0.29 spl0_1 <=> p(sk0_2(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f33,plain,(
% 0.06/0.29 p(sk0_2(initial_world))|~spl0_1),
% 0.06/0.29 inference(component_clause,[status(thm)],[f32])).
% 0.06/0.29 fof(f35,plain,(
% 0.06/0.29 spl0_2 <=> q(sk0_3(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f36,plain,(
% 0.06/0.29 q(sk0_3(initial_world))|~spl0_2),
% 0.06/0.29 inference(component_clause,[status(thm)],[f35])).
% 0.06/0.29 fof(f38,plain,(
% 0.06/0.29 pd0_0(sk0_1(initial_world),sk0_0(initial_world))|p(sk0_2(initial_world))|q(sk0_3(initial_world))),
% 0.06/0.29 inference(resolution,[status(thm)],[f5,f18])).
% 0.06/0.29 fof(f39,plain,(
% 0.06/0.29 spl0_0|spl0_1|spl0_2),
% 0.06/0.29 inference(split_clause,[status(thm)],[f38,f29,f32,f35])).
% 0.06/0.29 fof(f40,plain,(
% 0.06/0.29 reachable(initial_world,sk0_0(initial_world))),
% 0.06/0.29 inference(resolution,[status(thm)],[f5,f14])).
% 0.06/0.29 fof(f41,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_3(initial_world))|~spl0_2)),
% 0.06/0.29 inference(resolution,[status(thm)],[f36,f20])).
% 0.06/0.29 fof(f42,plain,(
% 0.06/0.29 ![X0,X1]: (pd0_0(X0,X1)|~reachable(X1,X0)|~reachable(X0,sk0_3(initial_world))|~spl0_2)),
% 0.06/0.29 inference(resolution,[status(thm)],[f36,f28])).
% 0.06/0.29 fof(f54,plain,(
% 0.06/0.29 reachable(sk0_0(initial_world),sk0_0(sk0_0(initial_world)))),
% 0.06/0.29 inference(resolution,[status(thm)],[f40,f14])).
% 0.06/0.29 fof(f57,plain,(
% 0.06/0.29 spl0_6 <=> pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f58,plain,(
% 0.06/0.29 ![X0]: (pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~spl0_6)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f57])).
% 0.06/0.29 fof(f60,plain,(
% 0.06/0.29 spl0_7 <=> reachable(initial_world,initial_world)),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f62,plain,(
% 0.06/0.29 ~reachable(initial_world,initial_world)|spl0_7),
% 0.06/0.29 inference(component_clause,[status(thm)],[f60])).
% 0.06/0.29 fof(f63,plain,(
% 0.06/0.29 ![X0]: (pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|p(sk0_2(initial_world))|~spl0_2)),
% 0.06/0.29 inference(resolution,[status(thm)],[f42,f17])).
% 0.06/0.29 fof(f64,plain,(
% 0.06/0.29 spl0_6|~spl0_7|spl0_0|spl0_1|~spl0_2),
% 0.06/0.29 inference(split_clause,[status(thm)],[f63,f57,f60,f29,f32,f35])).
% 0.06/0.29 fof(f65,plain,(
% 0.06/0.29 spl0_8 <=> reachable(sk0_0(initial_world),sk0_2(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f66,plain,(
% 0.06/0.29 reachable(sk0_0(initial_world),sk0_2(initial_world))|~spl0_8),
% 0.06/0.29 inference(component_clause,[status(thm)],[f65])).
% 0.06/0.29 fof(f67,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_2(initial_world))|spl0_8),
% 0.06/0.29 inference(component_clause,[status(thm)],[f65])).
% 0.06/0.29 fof(f68,plain,(
% 0.06/0.29 ![X0]: (pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_2(initial_world))|~spl0_2)),
% 0.06/0.29 inference(resolution,[status(thm)],[f42,f15])).
% 0.06/0.29 fof(f69,plain,(
% 0.06/0.29 spl0_6|~spl0_7|spl0_0|spl0_8|~spl0_2),
% 0.06/0.29 inference(split_clause,[status(thm)],[f68,f57,f60,f29,f65,f35])).
% 0.06/0.29 fof(f71,plain,(
% 0.06/0.29 $false|spl0_7),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f62,f5])).
% 0.06/0.29 fof(f72,plain,(
% 0.06/0.29 spl0_7),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f71])).
% 0.06/0.29 fof(f73,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_2(initial_world))|~spl0_1)),
% 0.06/0.29 inference(resolution,[status(thm)],[f33,f19])).
% 0.06/0.29 fof(f74,plain,(
% 0.06/0.29 ![X0]: (pd0_0(sk0_2(initial_world),X0)|~reachable(X0,sk0_2(initial_world))|~spl0_1)),
% 0.06/0.29 inference(resolution,[status(thm)],[f33,f27])).
% 0.06/0.29 fof(f75,plain,(
% 0.06/0.29 spl0_9 <=> p(sk0_1(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f76,plain,(
% 0.06/0.29 p(sk0_1(initial_world))|~spl0_9),
% 0.06/0.29 inference(component_clause,[status(thm)],[f75])).
% 0.06/0.29 fof(f78,plain,(
% 0.06/0.29 spl0_10 <=> reachable(sk0_1(initial_world),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f79,plain,(
% 0.06/0.29 reachable(sk0_1(initial_world),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_10),
% 0.06/0.29 inference(component_clause,[status(thm)],[f78])).
% 0.06/0.29 fof(f81,plain,(
% 0.06/0.29 p(sk0_1(initial_world))|reachable(sk0_1(initial_world),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_0),
% 0.06/0.29 inference(resolution,[status(thm)],[f30,f25])).
% 0.06/0.29 fof(f82,plain,(
% 0.06/0.29 spl0_9|spl0_10|~spl0_0),
% 0.06/0.29 inference(split_clause,[status(thm)],[f81,f75,f78,f29])).
% 0.06/0.29 fof(f83,plain,(
% 0.06/0.29 spl0_11 <=> q(sk0_4(sk0_1(initial_world),sk0_0(initial_world)))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f84,plain,(
% 0.06/0.29 q(sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_11),
% 0.06/0.29 inference(component_clause,[status(thm)],[f83])).
% 0.06/0.29 fof(f86,plain,(
% 0.06/0.29 p(sk0_1(initial_world))|q(sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_0),
% 0.06/0.29 inference(resolution,[status(thm)],[f30,f26])).
% 0.06/0.29 fof(f87,plain,(
% 0.06/0.29 spl0_9|spl0_11|~spl0_0),
% 0.06/0.29 inference(split_clause,[status(thm)],[f86,f75,f83,f29])).
% 0.06/0.29 fof(f88,plain,(
% 0.06/0.29 reachable(sk0_0(initial_world),sk0_1(initial_world))|~spl0_0),
% 0.06/0.29 inference(resolution,[status(thm)],[f30,f24])).
% 0.06/0.29 fof(f89,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_1(initial_world))|~spl0_9)),
% 0.06/0.29 inference(resolution,[status(thm)],[f76,f19])).
% 0.06/0.29 fof(f91,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_11)),
% 0.06/0.29 inference(resolution,[status(thm)],[f84,f20])).
% 0.06/0.29 fof(f93,plain,(
% 0.06/0.29 pd0_0(sk0_0(initial_world),initial_world)|~spl0_6),
% 0.06/0.29 inference(resolution,[status(thm)],[f58,f40])).
% 0.06/0.29 fof(f94,plain,(
% 0.06/0.29 pd0_0(sk0_0(initial_world),sk0_0(initial_world))|~spl0_6),
% 0.06/0.29 inference(resolution,[status(thm)],[f58,f5])).
% 0.06/0.29 fof(f95,plain,(
% 0.06/0.29 spl0_12 <=> p(sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f96,plain,(
% 0.06/0.29 p(sk0_0(initial_world))|~spl0_12),
% 0.06/0.29 inference(component_clause,[status(thm)],[f95])).
% 0.06/0.29 fof(f98,plain,(
% 0.06/0.29 spl0_13 <=> reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),sk0_0(initial_world)))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f99,plain,(
% 0.06/0.29 reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),sk0_0(initial_world)))|~spl0_13),
% 0.06/0.29 inference(component_clause,[status(thm)],[f98])).
% 0.06/0.29 fof(f100,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),sk0_0(initial_world)))|spl0_13),
% 0.06/0.29 inference(component_clause,[status(thm)],[f98])).
% 0.06/0.29 fof(f101,plain,(
% 0.06/0.29 p(sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),sk0_0(initial_world)))|~spl0_6),
% 0.06/0.29 inference(resolution,[status(thm)],[f94,f25])).
% 0.06/0.29 fof(f102,plain,(
% 0.06/0.29 spl0_12|spl0_13|~spl0_6),
% 0.06/0.29 inference(split_clause,[status(thm)],[f101,f95,f98,f57])).
% 0.06/0.29 fof(f103,plain,(
% 0.06/0.29 spl0_14 <=> q(sk0_4(sk0_0(initial_world),sk0_0(initial_world)))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f104,plain,(
% 0.06/0.29 q(sk0_4(sk0_0(initial_world),sk0_0(initial_world)))|~spl0_14),
% 0.06/0.29 inference(component_clause,[status(thm)],[f103])).
% 0.06/0.29 fof(f105,plain,(
% 0.06/0.29 ~q(sk0_4(sk0_0(initial_world),sk0_0(initial_world)))|spl0_14),
% 0.06/0.29 inference(component_clause,[status(thm)],[f103])).
% 0.06/0.29 fof(f106,plain,(
% 0.06/0.29 p(sk0_0(initial_world))|q(sk0_4(sk0_0(initial_world),sk0_0(initial_world)))|~spl0_6),
% 0.06/0.29 inference(resolution,[status(thm)],[f94,f26])).
% 0.06/0.29 fof(f107,plain,(
% 0.06/0.29 spl0_12|spl0_14|~spl0_6),
% 0.06/0.29 inference(split_clause,[status(thm)],[f106,f95,f103,f57])).
% 0.06/0.29 fof(f109,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_0(initial_world))|~spl0_12)),
% 0.06/0.29 inference(resolution,[status(thm)],[f96,f19])).
% 0.06/0.29 fof(f110,plain,(
% 0.06/0.29 ![X0]: (pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~spl0_12)),
% 0.06/0.29 inference(resolution,[status(thm)],[f96,f27])).
% 0.06/0.29 fof(f112,plain,(
% 0.06/0.29 ![X0,X1]: (pd0_0(X0,X1)|~reachable(X1,X0)|~reachable(X0,sk0_4(sk0_0(initial_world),sk0_0(initial_world)))|~spl0_14)),
% 0.06/0.29 inference(resolution,[status(thm)],[f104,f28])).
% 0.06/0.29 fof(f136,plain,(
% 0.06/0.29 pd0_0(sk0_0(initial_world),sk0_0(initial_world))|~spl0_12),
% 0.06/0.29 inference(resolution,[status(thm)],[f110,f5])).
% 0.06/0.29 fof(f142,plain,(
% 0.06/0.29 spl0_19 <=> ~pd0_0(X0,sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f143,plain,(
% 0.06/0.29 ![X0]: (~pd0_0(X0,sk0_0(initial_world))|~spl0_19)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f142])).
% 0.06/0.29 fof(f145,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~spl0_1|~spl0_8)),
% 0.06/0.29 inference(resolution,[status(thm)],[f73,f66])).
% 0.06/0.29 fof(f146,plain,(
% 0.06/0.29 ~spl0_7|spl0_19|~spl0_1|~spl0_8),
% 0.06/0.29 inference(split_clause,[status(thm)],[f145,f60,f142,f32,f65])).
% 0.06/0.29 fof(f147,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|q(sk0_3(initial_world))|~spl0_1)),
% 0.06/0.29 inference(resolution,[status(thm)],[f73,f16])).
% 0.06/0.29 fof(f148,plain,(
% 0.06/0.29 ~spl0_7|spl0_19|spl0_0|spl0_2|~spl0_1),
% 0.06/0.29 inference(split_clause,[status(thm)],[f147,f60,f142,f29,f35,f32])).
% 0.06/0.29 fof(f154,plain,(
% 0.06/0.29 $false|~spl0_19|~spl0_12),
% 0.06/0.29 inference(backward_subsumption_resolution,[status(thm)],[f136,f143])).
% 0.06/0.29 fof(f155,plain,(
% 0.06/0.29 ~spl0_19|~spl0_12),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f154])).
% 0.06/0.29 fof(f165,plain,(
% 0.06/0.29 spl0_21 <=> reachable(initial_world,sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f167,plain,(
% 0.06/0.29 ~reachable(initial_world,sk0_0(initial_world))|spl0_21),
% 0.06/0.29 inference(component_clause,[status(thm)],[f165])).
% 0.06/0.29 fof(f176,plain,(
% 0.06/0.29 $false|spl0_21),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f167,f40])).
% 0.06/0.29 fof(f177,plain,(
% 0.06/0.29 spl0_21),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f176])).
% 0.06/0.29 fof(f240,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~spl0_9|~spl0_0)),
% 0.06/0.29 inference(resolution,[status(thm)],[f89,f88])).
% 0.06/0.29 fof(f241,plain,(
% 0.06/0.29 ~spl0_7|spl0_19|~spl0_9|~spl0_0),
% 0.06/0.29 inference(split_clause,[status(thm)],[f240,f60,f142,f75,f29])).
% 0.06/0.29 fof(f244,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~reachable(X0,X1)|pd0_0(sk0_1(X1),sk0_0(X1))|p(sk0_2(X1))|q(sk0_3(X1)))),
% 0.06/0.29 inference(resolution,[status(thm)],[f8,f18])).
% 0.06/0.29 fof(f245,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~reachable(X0,X1)|reachable(X1,sk0_0(X1)))),
% 0.06/0.29 inference(resolution,[status(thm)],[f8,f14])).
% 0.06/0.29 fof(f247,plain,(
% 0.06/0.29 spl0_33 <=> ~reachable(initial_world,X0)|~reachable(X0,initial_world)),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f248,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,initial_world)|~spl0_33)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f247])).
% 0.06/0.29 fof(f252,plain,(
% 0.06/0.29 spl0_34 <=> reachable(sk0_0(initial_world),sk0_0(sk0_0(initial_world)))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f255,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,initial_world)|reachable(sk0_0(initial_world),sk0_0(sk0_0(initial_world))))),
% 0.06/0.29 inference(resolution,[status(thm)],[f245,f14])).
% 0.06/0.29 fof(f256,plain,(
% 0.06/0.29 spl0_33|spl0_34),
% 0.06/0.29 inference(split_clause,[status(thm)],[f255,f247,f252])).
% 0.06/0.29 fof(f258,plain,(
% 0.06/0.29 ~reachable(initial_world,initial_world)|~spl0_33),
% 0.06/0.29 inference(resolution,[status(thm)],[f248,f5])).
% 0.06/0.29 fof(f259,plain,(
% 0.06/0.29 ~spl0_7|~spl0_33),
% 0.06/0.29 inference(split_clause,[status(thm)],[f258,f60,f247])).
% 0.06/0.29 fof(f261,plain,(
% 0.06/0.29 ![X0,X1,X2,X3]: (~reachable(initial_world,X0)|~reachable(X0,X1)|pd0_0(sk0_1(X1),sk0_0(X1))|p(sk0_2(X1))|pd0_0(X2,X3)|~reachable(X3,X2)|~reachable(X2,sk0_3(X1)))),
% 0.06/0.29 inference(resolution,[status(thm)],[f244,f28])).
% 0.06/0.29 fof(f272,plain,(
% 0.06/0.29 ![X0]: (pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~spl0_14|~spl0_13)),
% 0.06/0.29 inference(resolution,[status(thm)],[f112,f99])).
% 0.06/0.29 fof(f272,plain,(
% 0.06/0.29 ![X0]: (pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~spl0_14|~spl0_13)),
% 0.06/0.29 inference(resolution,[status(thm)],[f112,f99])).
% 0.06/0.29 fof(f275,plain,(
% 0.06/0.29 spl0_37 <=> ~reachable(X0,sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),X0))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f276,plain,(
% 0.06/0.29 ![X0]: (~reachable(X0,sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),X0))|~spl0_37)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f275])).
% 0.06/0.29 fof(f278,plain,(
% 0.06/0.29 ![X0]: (~reachable(X0,sk0_0(initial_world))|p(sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),X0))|~spl0_14|~spl0_13)),
% 0.06/0.29 inference(resolution,[status(thm)],[f272,f25])).
% 0.06/0.29 fof(f279,plain,(
% 0.06/0.29 spl0_37|spl0_12|~spl0_14|~spl0_13),
% 0.06/0.29 inference(split_clause,[status(thm)],[f278,f275,f95,f103,f98])).
% 0.06/0.29 fof(f280,plain,(
% 0.06/0.29 spl0_38 <=> ~reachable(X0,sk0_0(initial_world))|q(sk0_4(sk0_0(initial_world),X0))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f281,plain,(
% 0.06/0.29 ![X0]: (~reachable(X0,sk0_0(initial_world))|q(sk0_4(sk0_0(initial_world),X0))|~spl0_38)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f280])).
% 0.06/0.29 fof(f283,plain,(
% 0.06/0.29 ![X0]: (~reachable(X0,sk0_0(initial_world))|p(sk0_0(initial_world))|q(sk0_4(sk0_0(initial_world),X0))|~spl0_14|~spl0_13)),
% 0.06/0.29 inference(resolution,[status(thm)],[f272,f26])).
% 0.06/0.29 fof(f284,plain,(
% 0.06/0.29 spl0_38|spl0_12|~spl0_14|~spl0_13),
% 0.06/0.29 inference(split_clause,[status(thm)],[f283,f280,f95,f103,f98])).
% 0.06/0.29 fof(f285,plain,(
% 0.06/0.29 $false|~spl0_19|~spl0_0),
% 0.06/0.29 inference(backward_subsumption_resolution,[status(thm)],[f30,f143])).
% 0.06/0.29 fof(f286,plain,(
% 0.06/0.29 ~spl0_19|~spl0_0),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f285])).
% 0.06/0.29 fof(f294,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_0(initial_world))|~spl0_38|spl0_14),
% 0.06/0.29 inference(resolution,[status(thm)],[f281,f105])).
% 0.06/0.29 fof(f295,plain,(
% 0.06/0.29 $false|~spl0_38|spl0_14),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f294,f5])).
% 0.06/0.29 fof(f296,plain,(
% 0.06/0.29 ~spl0_38|spl0_14),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f295])).
% 0.06/0.29 fof(f312,plain,(
% 0.06/0.29 spl0_41 <=> reachable(sk0_0(initial_world),sk0_1(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f314,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_1(initial_world))|spl0_41),
% 0.06/0.29 inference(component_clause,[status(thm)],[f312])).
% 0.06/0.29 fof(f320,plain,(
% 0.06/0.29 $false|~spl0_0|spl0_41),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f314,f88])).
% 0.06/0.29 fof(f321,plain,(
% 0.06/0.29 ~spl0_0|spl0_41),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f320])).
% 0.06/0.29 fof(f337,plain,(
% 0.06/0.29 $false|~spl0_19|~spl0_6),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f94,f143])).
% 0.06/0.29 fof(f338,plain,(
% 0.06/0.29 ~spl0_19|~spl0_6),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f337])).
% 0.06/0.29 fof(f349,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_0(initial_world))|spl0_13|~spl0_37),
% 0.06/0.29 inference(resolution,[status(thm)],[f100,f276])).
% 0.06/0.29 fof(f350,plain,(
% 0.06/0.29 $false|spl0_13|~spl0_37),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f349,f5])).
% 0.06/0.29 fof(f351,plain,(
% 0.06/0.29 spl0_13|~spl0_37),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f350])).
% 0.06/0.29 fof(f359,plain,(
% 0.06/0.29 spl0_43 <=> reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f364,plain,(
% 0.06/0.29 spl0_44 <=> q(sk0_4(sk0_0(initial_world),initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f365,plain,(
% 0.06/0.29 q(sk0_4(sk0_0(initial_world),initial_world))|~spl0_44),
% 0.06/0.29 inference(component_clause,[status(thm)],[f364])).
% 0.06/0.29 fof(f393,plain,(
% 0.06/0.29 ![X0,X1,X2]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),X2)|~reachable(X2,sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_11)),
% 0.06/0.29 inference(resolution,[status(thm)],[f91,f8])).
% 0.06/0.29 fof(f400,plain,(
% 0.06/0.29 spl0_46 <=> ~reachable(initial_world,X0)|~reachable(X0,sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f401,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,X0)|~reachable(X0,sk0_0(initial_world))|~spl0_46)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f400])).
% 0.06/0.29 fof(f424,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~spl0_12)),
% 0.06/0.29 inference(resolution,[status(thm)],[f109,f5])).
% 0.06/0.29 fof(f425,plain,(
% 0.06/0.29 ~spl0_7|spl0_19|~spl0_12),
% 0.06/0.29 inference(split_clause,[status(thm)],[f424,f60,f142,f95])).
% 0.06/0.29 fof(f426,plain,(
% 0.06/0.29 spl0_6|~spl0_14|~spl0_13),
% 0.06/0.29 inference(split_clause,[status(thm)],[f272,f57,f103,f98])).
% 0.06/0.29 fof(f429,plain,(
% 0.06/0.29 spl0_49 <=> pd0_0(X1,X2)|~reachable(X2,X1)|~reachable(X1,sk0_3(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f430,plain,(
% 0.06/0.29 ![X0,X1]: (pd0_0(X0,X1)|~reachable(X1,X0)|~reachable(X0,sk0_3(initial_world))|~spl0_49)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f429])).
% 0.06/0.29 fof(f432,plain,(
% 0.06/0.29 ![X0,X1,X2]: (~reachable(initial_world,X0)|~reachable(X0,initial_world)|p(sk0_2(initial_world))|pd0_0(X1,X2)|~reachable(X2,X1)|~reachable(X1,sk0_3(initial_world))|~spl0_19)),
% 0.06/0.29 inference(resolution,[status(thm)],[f143,f261])).
% 0.06/0.29 fof(f433,plain,(
% 0.06/0.29 spl0_33|spl0_1|spl0_49|~spl0_19),
% 0.06/0.29 inference(split_clause,[status(thm)],[f432,f247,f32,f429,f142])).
% 0.06/0.29 fof(f434,plain,(
% 0.06/0.29 spl0_50 <=> ~reachable(initial_world,X1)|~pd0_0(X2,sk0_0(X1))|~reachable(sk0_0(X1),sk0_3(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f435,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(initial_world,X0)|~pd0_0(X1,sk0_0(X0))|~reachable(sk0_0(X0),sk0_3(initial_world))|~spl0_50)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f434])).
% 0.06/0.29 fof(f439,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_0(initial_world))|~spl0_46),
% 0.06/0.29 inference(resolution,[status(thm)],[f401,f40])).
% 0.06/0.29 fof(f440,plain,(
% 0.06/0.29 $false|~spl0_46),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f439,f5])).
% 0.06/0.29 fof(f441,plain,(
% 0.06/0.29 ~spl0_46),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f440])).
% 0.06/0.29 fof(f446,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_2(initial_world))|~spl0_1|~spl0_19),
% 0.06/0.29 inference(resolution,[status(thm)],[f74,f143])).
% 0.06/0.29 fof(f447,plain,(
% 0.06/0.29 $false|~spl0_8|~spl0_1|~spl0_19),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f446,f66])).
% 0.06/0.29 fof(f448,plain,(
% 0.06/0.29 ~spl0_8|~spl0_1|~spl0_19),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f447])).
% 0.06/0.29 fof(f465,plain,(
% 0.06/0.29 ~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|q(sk0_3(initial_world))|spl0_8),
% 0.06/0.29 inference(resolution,[status(thm)],[f67,f16])).
% 0.06/0.29 fof(f466,plain,(
% 0.06/0.29 ~spl0_7|spl0_0|spl0_2|spl0_8),
% 0.06/0.29 inference(split_clause,[status(thm)],[f465,f60,f29,f35,f65])).
% 0.06/0.29 fof(f510,plain,(
% 0.06/0.29 ![X0,X1]: (~reachable(X0,X1)|~reachable(X1,sk0_3(initial_world))|p(X1)|q(sk0_4(X1,X0))|~spl0_49)),
% 0.06/0.29 inference(resolution,[status(thm)],[f430,f26])).
% 0.06/0.29 fof(f515,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|p(sk0_2(initial_world))|~spl0_50)),
% 0.06/0.29 inference(resolution,[status(thm)],[f435,f17])).
% 0.06/0.29 fof(f516,plain,(
% 0.06/0.29 ~spl0_7|spl0_19|spl0_0|spl0_1|~spl0_50),
% 0.06/0.29 inference(split_clause,[status(thm)],[f515,f60,f142,f29,f32,f434])).
% 0.06/0.29 fof(f517,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,initial_world)|~pd0_0(X0,sk0_0(initial_world))|~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_2(initial_world))|~spl0_50)),
% 0.06/0.29 inference(resolution,[status(thm)],[f435,f15])).
% 0.06/0.29 fof(f518,plain,(
% 0.06/0.29 ~spl0_7|spl0_19|spl0_0|spl0_8|~spl0_50),
% 0.06/0.29 inference(split_clause,[status(thm)],[f517,f60,f142,f29,f65,f434])).
% 0.06/0.29 fof(f520,plain,(
% 0.06/0.29 spl0_54 <=> reachable(sk0_0(initial_world),sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f522,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_0(initial_world))|spl0_54),
% 0.06/0.29 inference(component_clause,[status(thm)],[f520])).
% 0.06/0.29 fof(f523,plain,(
% 0.06/0.29 spl0_55 <=> reachable(sk0_0(initial_world),sk0_3(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f525,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_3(initial_world))|spl0_55),
% 0.06/0.29 inference(component_clause,[status(thm)],[f523])).
% 0.06/0.29 fof(f526,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_0(initial_world))|~reachable(sk0_0(initial_world),sk0_3(initial_world))|p(sk0_0(initial_world))|~spl0_49|spl0_14),
% 0.06/0.29 inference(resolution,[status(thm)],[f510,f105])).
% 0.06/0.29 fof(f527,plain,(
% 0.06/0.29 ~spl0_54|~spl0_55|spl0_12|~spl0_49|spl0_14),
% 0.06/0.29 inference(split_clause,[status(thm)],[f526,f520,f523,f95,f429,f103])).
% 0.06/0.29 fof(f530,plain,(
% 0.06/0.29 $false|spl0_54),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f522,f5])).
% 0.06/0.29 fof(f531,plain,(
% 0.06/0.29 spl0_54),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f530])).
% 0.06/0.29 fof(f537,plain,(
% 0.06/0.29 p(sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_4(sk0_0(initial_world),initial_world))|~spl0_6),
% 0.06/0.29 inference(resolution,[status(thm)],[f93,f25])).
% 0.06/0.29 fof(f538,plain,(
% 0.06/0.29 spl0_12|spl0_43|~spl0_6),
% 0.06/0.29 inference(split_clause,[status(thm)],[f537,f95,f359,f57])).
% 0.06/0.29 fof(f539,plain,(
% 0.06/0.29 p(sk0_0(initial_world))|q(sk0_4(sk0_0(initial_world),initial_world))|~spl0_6),
% 0.06/0.29 inference(resolution,[status(thm)],[f93,f26])).
% 0.06/0.29 fof(f540,plain,(
% 0.06/0.29 spl0_12|spl0_44|~spl0_6),
% 0.06/0.29 inference(split_clause,[status(thm)],[f539,f95,f364,f57])).
% 0.06/0.29 fof(f553,plain,(
% 0.06/0.29 ~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|p(sk0_2(initial_world))|spl0_55),
% 0.06/0.29 inference(resolution,[status(thm)],[f525,f17])).
% 0.06/0.29 fof(f554,plain,(
% 0.06/0.29 ~spl0_7|spl0_0|spl0_1|spl0_55),
% 0.06/0.29 inference(split_clause,[status(thm)],[f553,f60,f29,f32,f523])).
% 0.06/0.29 fof(f555,plain,(
% 0.06/0.29 ~reachable(initial_world,initial_world)|pd0_0(sk0_1(initial_world),sk0_0(initial_world))|reachable(sk0_0(initial_world),sk0_2(initial_world))|spl0_55),
% 0.06/0.29 inference(resolution,[status(thm)],[f525,f15])).
% 0.06/0.29 fof(f556,plain,(
% 0.06/0.29 ~spl0_7|spl0_0|spl0_8|spl0_55),
% 0.06/0.29 inference(split_clause,[status(thm)],[f555,f60,f29,f65,f523])).
% 0.06/0.29 fof(f559,plain,(
% 0.06/0.29 ![X0,X1]: (pd0_0(X0,X1)|~reachable(X1,X0)|~reachable(X0,sk0_4(sk0_0(initial_world),initial_world))|~spl0_44)),
% 0.06/0.29 inference(resolution,[status(thm)],[f365,f28])).
% 0.06/0.29 fof(f579,plain,(
% 0.06/0.29 ![X0]: (~reachable(initial_world,sk0_0(initial_world))|pd0_0(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~spl0_37|~spl0_44)),
% 0.06/0.29 inference(resolution,[status(thm)],[f276,f559])).
% 0.06/0.29 fof(f580,plain,(
% 0.06/0.29 ~spl0_21|spl0_6|~spl0_37|~spl0_44),
% 0.06/0.29 inference(split_clause,[status(thm)],[f579,f165,f57,f275,f364])).
% 0.06/0.29 fof(f653,plain,(
% 0.06/0.29 spl0_64 <=> ~reachable(sk0_0(initial_world),X1)|~reachable(X1,sk0_4(sk0_1(initial_world),sk0_0(initial_world)))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f654,plain,(
% 0.06/0.29 ![X0]: (~reachable(sk0_0(initial_world),X0)|~reachable(X0,sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_64)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f653])).
% 0.06/0.29 fof(f656,plain,(
% 0.06/0.29 ![X0,X1]: (~pd0_0(X0,sk0_0(initial_world))|~reachable(sk0_0(initial_world),X1)|~reachable(X1,sk0_4(sk0_1(initial_world),sk0_0(initial_world)))|~spl0_11)),
% 0.06/0.29 inference(resolution,[status(thm)],[f393,f5])).
% 0.06/0.29 fof(f657,plain,(
% 0.06/0.29 spl0_19|spl0_64|~spl0_11),
% 0.06/0.29 inference(split_clause,[status(thm)],[f656,f142,f653,f83])).
% 0.06/0.29 fof(f716,plain,(
% 0.06/0.29 spl0_70 <=> reachable(sk0_0(sk0_0(initial_world)),sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f717,plain,(
% 0.06/0.29 reachable(sk0_0(sk0_0(initial_world)),sk0_0(initial_world))|~spl0_70),
% 0.06/0.29 inference(component_clause,[status(thm)],[f716])).
% 0.06/0.29 fof(f718,plain,(
% 0.06/0.29 ~reachable(sk0_0(sk0_0(initial_world)),sk0_0(initial_world))|spl0_70),
% 0.06/0.29 inference(component_clause,[status(thm)],[f716])).
% 0.06/0.29 fof(f726,plain,(
% 0.06/0.29 spl0_71 <=> reachable(sk0_0(sk0_0(initial_world)),initial_world)),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f751,plain,(
% 0.06/0.29 ![X0]: (~reachable(sk0_0(sk0_0(initial_world)),X0)|~reachable(X0,sk0_0(initial_world))|spl0_70)),
% 0.06/0.29 inference(resolution,[status(thm)],[f718,f8])).
% 0.06/0.29 fof(f756,plain,(
% 0.06/0.29 ![X0]: (~reachable(sk0_0(sk0_0(initial_world)),initial_world)|~reachable(initial_world,X0)|~reachable(X0,initial_world)|spl0_70)),
% 0.06/0.29 inference(resolution,[status(thm)],[f751,f245])).
% 0.06/0.29 fof(f757,plain,(
% 0.06/0.29 ~spl0_71|spl0_33|spl0_70),
% 0.06/0.29 inference(split_clause,[status(thm)],[f756,f726,f247,f716])).
% 0.06/0.29 fof(f763,plain,(
% 0.06/0.29 spl0_72 <=> ~reachable(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f764,plain,(
% 0.06/0.29 ![X0]: (~reachable(sk0_0(initial_world),X0)|~reachable(X0,sk0_0(initial_world))|~spl0_72)),
% 0.06/0.29 inference(component_clause,[status(thm)],[f763])).
% 0.06/0.29 fof(f773,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_0(sk0_0(initial_world)))|~spl0_72|~spl0_70),
% 0.06/0.29 inference(resolution,[status(thm)],[f764,f717])).
% 0.06/0.29 fof(f774,plain,(
% 0.06/0.29 $false|~spl0_72|~spl0_70),
% 0.06/0.29 inference(forward_subsumption_resolution,[status(thm)],[f773,f54])).
% 0.06/0.29 fof(f775,plain,(
% 0.06/0.29 ~spl0_72|~spl0_70),
% 0.06/0.29 inference(contradiction_clause,[status(thm)],[f774])).
% 0.06/0.29 fof(f783,plain,(
% 0.06/0.29 ~reachable(sk0_0(initial_world),sk0_1(initial_world))|~spl0_64|~spl0_10),
% 0.06/0.29 inference(resolution,[status(thm)],[f654,f79])).
% 0.06/0.29 fof(f784,plain,(
% 0.06/0.29 ~spl0_41|~spl0_64|~spl0_10),
% 0.06/0.29 inference(split_clause,[status(thm)],[f783,f312,f653,f78])).
% 0.06/0.29 fof(f796,plain,(
% 0.06/0.29 spl0_50|~spl0_2),
% 0.06/0.29 inference(split_clause,[status(thm)],[f41,f434,f35])).
% 0.06/0.29 fof(f798,plain,(
% 0.06/0.29 $false),
% 0.06/0.29 inference(sat_refutation,[status(thm)],[f39,f64,f69,f72,f82,f87,f102,f107,f146,f148,f155,f177,f241,f256,f259,f279,f284,f286,f296,f321,f338,f351,f425,f426,f433,f441,f448,f466,f516,f518,f527,f531,f538,f540,f554,f556,f580,f657,f757,f775,f784,f796])).
% 0.06/0.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.06/0.30 % Elapsed time: 0.033321 seconds
% 0.06/0.30 % CPU time: 0.201796 seconds
% 0.06/0.30 % Memory used: 5.203 MB
%------------------------------------------------------------------------------