%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN549+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:20:07 PM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN549+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
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:11:38 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (! [X] : reachable(X,X) )),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (! [X,Y,Z] :( ( reachable(X,Y)& reachable(Y,Z) )=> reachable(X,Z) ) )),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,conjecture,(
% 0.13/0.42 (? [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) ) )) ) ) )) )),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,negated_conjecture,(
% 0.13/0.42 ~((? [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) ) )) ) ) )) ))),
% 0.13/0.42 inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.42 fof(f5,plain,(
% 0.13/0.42 ![X0]: (reachable(X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f6,plain,(
% 0.13/0.42 ![X,Y,Z]: ((~reachable(X,Y)|~reachable(Y,Z))|reachable(X,Z))),
% 0.13/0.42 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f7,plain,(
% 0.13/0.42 ![X,Z]: ((![Y]: (~reachable(X,Y)|~reachable(Y,Z)))|reachable(X,Z))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.42 fof(f8,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~reachable(X0,X1)|~reachable(X1,X2)|reachable(X0,X2))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.42 fof(f9,plain,(
% 0.13/0.42 (![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)))))))))),
% 0.13/0.42 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f10,definition,(
% 0.13/0.42 ![Y,Z]: (sP0_prd(Z,Y)<=>(reachable(Y,Z)&(p(Z)|(?[V]: (reachable(Z,V)&q(V))))))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.42 fof(f11,plain,(
% 0.13/0.42 ![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))))))))),
% 0.13/0.42 inference(formula_renaming,[status(thm)],[f9,f10])).
% 0.13/0.42 fof(f12,plain,(
% 0.13/0.42 ![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)))))))))),
% 0.13/0.42 inference(NNF_transformation,[status(thm)],[f11])).
% 0.13/0.42 fof(f13,plain,(
% 0.13/0.42 ![X]: (~reachable(initial_world,X)|(reachable(X,sK0_skl(X))&((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)))))&((![Z]: ~sP0_prd(Z,sK0_skl(X)))|((![W]: (~reachable(sK0_skl(X),W)|~p(W)))&(![W]: (~reachable(sK0_skl(X),W)|~q(W))))))))),
% 0.13/0.42 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])).
% 0.13/0.42 fof(f14,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,X0)|reachable(X0,sK0_skl(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f15,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,X0)|sP0_prd(sK1_skl(X0),sK0_skl(X0))|reachable(sK0_skl(X0),sK2_skl(X0))|reachable(sK0_skl(X0),sK3_skl(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f16,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,X0)|sP0_prd(sK1_skl(X0),sK0_skl(X0))|reachable(sK0_skl(X0),sK2_skl(X0))|q(sK3_skl(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f17,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,X0)|sP0_prd(sK1_skl(X0),sK0_skl(X0))|p(sK2_skl(X0))|reachable(sK0_skl(X0),sK3_skl(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f18,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,X0)|sP0_prd(sK1_skl(X0),sK0_skl(X0))|p(sK2_skl(X0))|q(sK3_skl(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f19,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~reachable(initial_world,X0)|~sP0_prd(X1,sK0_skl(X0))|~reachable(sK0_skl(X0),X2)|~p(X2))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f20,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~reachable(initial_world,X0)|~sP0_prd(X1,sK0_skl(X0))|~reachable(sK0_skl(X0),X2)|~q(X2))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f21,plain,(
% 0.13/0.42 ![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)))))))),
% 0.13/0.42 inference(NNF_transformation,[status(thm)],[f10])).
% 0.13/0.42 fof(f22,plain,(
% 0.13/0.42 (![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)))))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.42 fof(f23,plain,(
% 0.13/0.42 (![Y,Z]: (~sP0_prd(Z,Y)|(reachable(Y,Z)&(p(Z)|(reachable(Z,sK4_skl(Z,Y))&q(sK4_skl(Z,Y)))))))&(![Y,Z]: (sP0_prd(Z,Y)|(~reachable(Y,Z)|(~p(Z)&(![V]: (~reachable(Z,V)|~q(V)))))))),
% 0.13/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(Z,Y))],[f22])).
% 0.13/0.42 fof(f24,plain,(
% 0.13/0.42 ![X0,X1]: (~sP0_prd(X0,X1)|reachable(X1,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.42 fof(f25,plain,(
% 0.13/0.42 ![X0,X1]: (~sP0_prd(X0,X1)|p(X0)|reachable(X0,sK4_skl(X0,X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.42 fof(f26,plain,(
% 0.13/0.42 ![X0,X1]: (~sP0_prd(X0,X1)|p(X0)|q(sK4_skl(X0,X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.42 fof(f27,plain,(
% 0.13/0.42 ![X0,X1]: (sP0_prd(X0,X1)|~reachable(X1,X0)|~p(X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.42 fof(f28,plain,(
% 0.13/0.42 ![X0,X1,X2]: (sP0_prd(X0,X1)|~reachable(X1,X0)|~reachable(X0,X2)|~q(X2))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.42 fof(f29,plain,(
% 0.13/0.42 reachable(initial_world,sK0_skl(initial_world))),
% 0.13/0.42 inference(resolution,[status(thm)],[f5,f14])).
% 0.13/0.42 fof(f46,plain,(
% 0.13/0.42 ![X0,X1]: (sP0_prd(X0,X0)|~reachable(X0,X1)|~q(X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f28,f5])).
% 0.13/0.42 fof(f62,plain,(
% 0.13/0.42 sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|p(sK2_skl(initial_world))|q(sK3_skl(initial_world))),
% 0.13/0.42 inference(resolution,[status(thm)],[f18,f5])).
% 0.13/0.42 fof(f73,definition,(
% 0.13/0.42 sQ8_spl <=> (sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f74,plain,(
% 0.13/0.42 sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|~sQ8_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.42 fof(f76,definition,(
% 0.13/0.42 sQ9_spl <=> (p(sK2_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f79,definition,(
% 0.13/0.42 sQ10_spl <=> (q(sK3_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f82,plain,(
% 0.13/0.42 sQ8_spl|sQ9_spl|sQ10_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f62,f73,f76,f79])).
% 0.13/0.42 fof(f84,plain,(
% 0.13/0.42 sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|reachable(sK0_skl(initial_world),sK2_skl(initial_world))|q(sK3_skl(initial_world))),
% 0.13/0.42 inference(resolution,[status(thm)],[f16,f5])).
% 0.13/0.42 fof(f89,definition,(
% 0.13/0.42 sQ12_spl <=> (reachable(sK0_skl(initial_world),sK2_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f90,plain,(
% 0.13/0.42 reachable(sK0_skl(initial_world),sK2_skl(initial_world))|~sQ12_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.42 fof(f92,plain,(
% 0.13/0.42 sQ8_spl|sQ12_spl|sQ10_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f84,f73,f89,f79])).
% 0.13/0.42 fof(f94,plain,(
% 0.13/0.42 sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|reachable(sK0_skl(initial_world),sK2_skl(initial_world))|reachable(sK0_skl(initial_world),sK3_skl(initial_world))),
% 0.13/0.42 inference(resolution,[status(thm)],[f15,f5])).
% 0.13/0.42 fof(f99,definition,(
% 0.13/0.42 sQ14_spl <=> (reachable(sK0_skl(initial_world),sK3_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f100,plain,(
% 0.13/0.42 reachable(sK0_skl(initial_world),sK3_skl(initial_world))|~sQ14_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.42 fof(f102,plain,(
% 0.13/0.42 sQ8_spl|sQ12_spl|sQ14_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f94,f73,f89,f99])).
% 0.13/0.42 fof(f104,plain,(
% 0.13/0.42 sP0_prd(sK1_skl(initial_world),sK0_skl(initial_world))|p(sK2_skl(initial_world))|reachable(sK0_skl(initial_world),sK3_skl(initial_world))),
% 0.13/0.42 inference(resolution,[status(thm)],[f17,f5])).
% 0.13/0.42 fof(f106,plain,(
% 0.13/0.42 sQ8_spl|sQ9_spl|sQ14_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f104,f73,f76,f99])).
% 0.13/0.42 fof(f135,plain,(
% 0.13/0.42 p(sK1_skl(initial_world))|reachable(sK1_skl(initial_world),sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world)))|~sQ8_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f74,f25])).
% 0.13/0.42 fof(f136,plain,(
% 0.13/0.42 p(sK1_skl(initial_world))|q(sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world)))|~sQ8_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f74,f26])).
% 0.13/0.42 fof(f137,plain,(
% 0.13/0.42 reachable(sK0_skl(initial_world),sK1_skl(initial_world))|~sQ8_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f74,f24])).
% 0.13/0.42 fof(f138,definition,(
% 0.13/0.42 sQ20_spl <=> (reachable(initial_world,initial_world))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f140,plain,(
% 0.13/0.42 ~reachable(initial_world,initial_world)|sQ20_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f138])).
% 0.13/0.42 fof(f143,definition,(
% 0.13/0.42 sQ21_spl <=> (p(sK1_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f146,definition,(
% 0.13/0.42 sQ22_spl <=> (reachable(sK1_skl(initial_world),sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world))))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f147,plain,(
% 0.13/0.42 reachable(sK1_skl(initial_world),sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world)))|~sQ22_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f146])).
% 0.13/0.42 fof(f149,plain,(
% 0.13/0.42 sQ21_spl|sQ22_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f135,f143,f146,f73])).
% 0.13/0.42 fof(f150,definition,(
% 0.13/0.42 sQ23_spl <=> (q(sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world))))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f153,plain,(
% 0.13/0.42 sQ21_spl|sQ23_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f136,f143,f150,f73])).
% 0.13/0.42 fof(f154,plain,(
% 0.13/0.42 $false|sQ20_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f140,f5])).
% 0.13/0.42 fof(f155,plain,(
% 0.13/0.42 sQ20_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f154])).
% 0.13/0.42 fof(f156,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,initial_world)|~sP0_prd(X0,sK0_skl(initial_world))|~q(sK3_skl(initial_world))|~sQ14_spl)),
% 0.13/0.42 inference(resolution,[status(thm)],[f100,f20])).
% 0.13/0.42 fof(f158,plain,(
% 0.13/0.42 sP0_prd(sK0_skl(initial_world),sK0_skl(initial_world))|~q(sK3_skl(initial_world))|~sQ14_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f100,f46])).
% 0.13/0.42 fof(f162,definition,(
% 0.13/0.42 ![X0]: (sQ24_spl <=> (~sP0_prd(X0,sK0_skl(initial_world))))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f163,plain,(
% 0.13/0.42 ![X0]: (~sP0_prd(X0,sK0_skl(initial_world))|~sQ24_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f162])).
% 0.13/0.42 fof(f165,plain,(
% 0.13/0.42 ~sQ20_spl|sQ24_spl|~sQ10_spl|~sQ14_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f156,f138,f162,f79,f99])).
% 0.13/0.42 fof(f170,definition,(
% 0.13/0.42 sQ26_spl <=> (sP0_prd(sK0_skl(initial_world),sK0_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f171,plain,(
% 0.13/0.42 sP0_prd(sK0_skl(initial_world),sK0_skl(initial_world))|~sQ26_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f170])).
% 0.13/0.42 fof(f173,plain,(
% 0.13/0.42 sQ26_spl|~sQ10_spl|~sQ14_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f158,f170,f79,f99])).
% 0.13/0.42 fof(f183,plain,(
% 0.13/0.42 $false|~sQ24_spl|~sQ26_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f171,f163])).
% 0.13/0.42 fof(f184,plain,(
% 0.13/0.42 ~sQ24_spl|~sQ26_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f183])).
% 0.13/0.42 fof(f187,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,initial_world)|~sP0_prd(X0,sK0_skl(initial_world))|~p(sK2_skl(initial_world))|~sQ12_spl)),
% 0.13/0.42 inference(resolution,[status(thm)],[f90,f19])).
% 0.13/0.42 fof(f190,plain,(
% 0.13/0.42 sP0_prd(sK2_skl(initial_world),sK0_skl(initial_world))|~p(sK2_skl(initial_world))|~sQ12_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f90,f27])).
% 0.13/0.42 fof(f196,plain,(
% 0.13/0.42 ~sQ20_spl|sQ24_spl|~sQ9_spl|~sQ12_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f187,f138,f162,f76,f89])).
% 0.13/0.42 fof(f198,definition,(
% 0.13/0.42 sQ30_spl <=> (sP0_prd(sK2_skl(initial_world),sK0_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f199,plain,(
% 0.13/0.42 sP0_prd(sK2_skl(initial_world),sK0_skl(initial_world))|~sQ30_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f198])).
% 0.13/0.42 fof(f205,plain,(
% 0.13/0.42 sQ30_spl|~sQ9_spl|~sQ12_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f190,f198,f76,f89])).
% 0.13/0.42 fof(f239,plain,(
% 0.13/0.42 $false|~sQ24_spl|~sQ8_spl),
% 0.13/0.42 inference(backward_subsumption_resolution,[status(thm)],[f74,f163])).
% 0.13/0.42 fof(f241,plain,(
% 0.13/0.42 $false|~sQ24_spl|~sQ30_spl),
% 0.13/0.42 inference(backward_subsumption_resolution,[status(thm)],[f199,f163])).
% 0.13/0.42 fof(f242,plain,(
% 0.13/0.42 ~sQ24_spl|~sQ8_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f239])).
% 0.13/0.42 fof(f244,plain,(
% 0.13/0.42 ~sQ24_spl|~sQ30_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f241])).
% 0.13/0.42 fof(f255,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,initial_world)|~sP0_prd(X0,sK0_skl(initial_world))|~p(sK1_skl(initial_world))|~sQ8_spl)),
% 0.13/0.42 inference(resolution,[status(thm)],[f137,f19])).
% 0.13/0.42 fof(f264,plain,(
% 0.13/0.42 ~sQ20_spl|sQ24_spl|~sQ21_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f255,f138,f162,f143,f73])).
% 0.13/0.42 fof(f286,definition,(
% 0.13/0.42 sQ38_spl <=> (reachable(initial_world,sK0_skl(initial_world)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f288,plain,(
% 0.13/0.42 ~reachable(initial_world,sK0_skl(initial_world))|sQ38_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.42 fof(f302,plain,(
% 0.13/0.42 $false|sQ38_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f288,f29])).
% 0.13/0.42 fof(f303,plain,(
% 0.13/0.42 sQ38_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f302])).
% 0.13/0.42 fof(f307,plain,(
% 0.13/0.42 ![X0]: (~reachable(X0,sK1_skl(initial_world))|reachable(X0,sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world)))|~sQ22_spl)),
% 0.13/0.42 inference(resolution,[status(thm)],[f147,f8])).
% 0.13/0.42 fof(f468,plain,(
% 0.13/0.42 reachable(sK0_skl(initial_world),sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world)))|~sQ22_spl|~sQ8_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f307,f137])).
% 0.13/0.42 fof(f771,plain,(
% 0.13/0.42 ![X0]: (~reachable(initial_world,initial_world)|~sP0_prd(X0,sK0_skl(initial_world))|~q(sK4_skl(sK1_skl(initial_world),sK0_skl(initial_world)))|~sQ22_spl|~sQ8_spl)),
% 0.13/0.42 inference(resolution,[status(thm)],[f468,f20])).
% 0.13/0.42 fof(f779,plain,(
% 0.13/0.42 ~sQ20_spl|sQ24_spl|~sQ23_spl|~sQ22_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f771,f138,f162,f150,f146,f73])).
% 0.13/0.42 fof(f798,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f82,f92,f102,f106,f149,f153,f155,f165,f173,f184,f196,f205,f242,f244,f264,f303,f779])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.073588 seconds
% 0.13/0.45 % CPU time: 0.255850 seconds
% 0.13/0.45 % Total memory used: 19.172 MB
% 0.13/0.45 % Net memory used: 18.570 MB
%------------------------------------------------------------------------------