TSTP Solution File: LCL463+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL463+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:19:23 EDT 2023
% Result : Theorem 59.44s 7.87s
% Output : CNFRefutation 60.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL463+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:42:52 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 59.44/7.87 % Refutation found
% 59.44/7.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 59.44/7.87 % SZS output start CNFRefutation for theBenchmark
% 59.44/7.87 fof(f1,axiom,(
% 59.44/7.87 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f4,axiom,(
% 59.44/7.87 ( implies_1<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) )) ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f19,axiom,(
% 59.44/7.87 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f20,axiom,(
% 59.44/7.87 ( cn2<=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )) ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f21,axiom,(
% 59.44/7.87 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f27,axiom,(
% 59.44/7.87 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f29,axiom,(
% 59.44/7.87 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f32,axiom,(
% 59.44/7.87 op_or ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f35,axiom,(
% 59.44/7.87 modus_ponens ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f36,axiom,(
% 59.44/7.87 cn1 ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f37,axiom,(
% 59.44/7.87 cn2 ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f38,axiom,(
% 59.44/7.87 cn3 ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f41,axiom,(
% 59.44/7.87 op_implies_and ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f43,conjecture,(
% 59.44/7.87 implies_1 ),
% 59.44/7.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 59.44/7.87 fof(f44,negated_conjecture,(
% 59.44/7.87 ~(implies_1 )),
% 59.44/7.87 inference(negated_conjecture,[status(cth)],[f43])).
% 59.44/7.87 fof(f45,plain,(
% 59.44/7.87 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 59.44/7.87 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 59.44/7.87 fof(f46,plain,(
% 59.44/7.87 (~modus_ponens|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y))))&(modus_ponens|(?[X,Y]: ((is_a_theorem(X)&is_a_theorem(implies(X,Y)))&~is_a_theorem(Y))))),
% 59.44/7.87 inference(NNF_transformation,[status(esa)],[f45])).
% 59.44/7.87 fof(f47,plain,(
% 59.44/7.87 (~modus_ponens|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens|(?[Y]: ((?[X]: (is_a_theorem(X)&is_a_theorem(implies(X,Y))))&~is_a_theorem(Y))))),
% 59.44/7.87 inference(miniscoping,[status(esa)],[f46])).
% 59.44/7.87 fof(f48,plain,(
% 59.44/7.87 (~modus_ponens|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens|((is_a_theorem(sk0_1)&is_a_theorem(implies(sk0_1,sk0_0)))&~is_a_theorem(sk0_0)))),
% 59.44/7.87 inference(skolemization,[status(esa)],[f47])).
% 59.44/7.87 fof(f49,plain,(
% 59.44/7.87 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f48])).
% 59.44/7.87 fof(f63,plain,(
% 59.44/7.87 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|(?[X,Y]: ~is_a_theorem(implies(X,implies(Y,X)))))),
% 59.44/7.87 inference(NNF_transformation,[status(esa)],[f4])).
% 59.44/7.87 fof(f64,plain,(
% 59.44/7.87 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|~is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6))))),
% 59.44/7.87 inference(skolemization,[status(esa)],[f63])).
% 59.44/7.87 fof(f66,plain,(
% 59.44/7.87 implies_1|~is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f64])).
% 59.44/7.87 fof(f123,plain,(
% 59.44/7.87 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))),
% 59.44/7.87 inference(NNF_transformation,[status(esa)],[f19])).
% 59.44/7.87 fof(f124,plain,(
% 59.44/7.87 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40)))))),
% 59.44/7.87 inference(skolemization,[status(esa)],[f123])).
% 59.44/7.87 fof(f125,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~cn1|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f124])).
% 59.44/7.87 fof(f127,plain,(
% 59.44/7.87 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|(?[P,Q]: ~is_a_theorem(implies(P,implies(not(P),Q)))))),
% 59.44/7.87 inference(NNF_transformation,[status(esa)],[f20])).
% 59.44/7.87 fof(f128,plain,(
% 59.44/7.87 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|~is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42))))),
% 59.44/7.87 inference(skolemization,[status(esa)],[f127])).
% 59.44/7.87 fof(f129,plain,(
% 59.44/7.87 ![X0,X1]: (~cn2|is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f128])).
% 59.44/7.87 fof(f131,plain,(
% 59.44/7.87 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 59.44/7.87 inference(NNF_transformation,[status(esa)],[f21])).
% 59.44/7.87 fof(f132,plain,(
% 59.44/7.87 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43)))),
% 59.44/7.87 inference(skolemization,[status(esa)],[f131])).
% 59.44/7.87 fof(f133,plain,(
% 59.44/7.87 ![X0]: (~cn3|is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f132])).
% 59.44/7.87 fof(f155,plain,(
% 59.44/7.87 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 59.44/7.87 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 59.44/7.87 fof(f156,plain,(
% 59.44/7.87 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f155])).
% 59.44/7.87 fof(f159,plain,(
% 59.44/7.87 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 59.44/7.87 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 59.44/7.87 fof(f160,plain,(
% 59.44/7.87 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f159])).
% 59.44/7.87 fof(f165,plain,(
% 59.44/7.87 op_or),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f32])).
% 59.44/7.87 fof(f168,plain,(
% 59.44/7.87 modus_ponens),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f35])).
% 59.44/7.87 fof(f169,plain,(
% 59.44/7.87 cn1),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f36])).
% 59.44/7.87 fof(f170,plain,(
% 59.44/7.87 cn2),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f37])).
% 59.44/7.87 fof(f171,plain,(
% 59.44/7.87 cn3),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f38])).
% 59.44/7.87 fof(f174,plain,(
% 59.44/7.87 op_implies_and),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f41])).
% 59.44/7.87 fof(f176,plain,(
% 59.44/7.87 ~implies_1),
% 59.44/7.87 inference(cnf_transformation,[status(esa)],[f44])).
% 59.44/7.87 fof(f177,plain,(
% 59.44/7.87 spl0_0 <=> modus_ponens),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f179,plain,(
% 59.44/7.87 ~modus_ponens|spl0_0),
% 59.44/7.87 inference(component_clause,[status(thm)],[f177])).
% 59.44/7.87 fof(f180,plain,(
% 59.44/7.87 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f181,plain,(
% 59.44/7.87 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f180])).
% 59.44/7.87 fof(f183,plain,(
% 59.44/7.87 ~spl0_0|spl0_1),
% 59.44/7.87 inference(split_clause,[status(thm)],[f49,f177,f180])).
% 59.44/7.87 fof(f222,plain,(
% 59.44/7.87 spl0_12 <=> implies_1),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f223,plain,(
% 59.44/7.87 implies_1|~spl0_12),
% 59.44/7.87 inference(component_clause,[status(thm)],[f222])).
% 59.44/7.87 fof(f225,plain,(
% 59.44/7.87 spl0_13 <=> is_a_theorem(implies(X0,implies(X1,X0)))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f226,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_13)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f225])).
% 59.44/7.87 fof(f229,plain,(
% 59.44/7.87 spl0_14 <=> is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f231,plain,(
% 59.44/7.87 ~is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))|spl0_14),
% 59.44/7.87 inference(component_clause,[status(thm)],[f229])).
% 59.44/7.87 fof(f232,plain,(
% 59.44/7.87 spl0_12|~spl0_14),
% 59.44/7.87 inference(split_clause,[status(thm)],[f66,f222,f229])).
% 59.44/7.87 fof(f247,plain,(
% 59.44/7.87 spl0_19 <=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f248,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_19)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f247])).
% 59.44/7.87 fof(f291,plain,(
% 59.44/7.87 spl0_31 <=> is_a_theorem(implies(X0,or(X0,X1)))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f292,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~spl0_31)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f291])).
% 59.44/7.87 fof(f384,plain,(
% 59.44/7.87 spl0_56 <=> cn1),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f386,plain,(
% 59.44/7.87 ~cn1|spl0_56),
% 59.44/7.87 inference(component_clause,[status(thm)],[f384])).
% 59.44/7.87 fof(f387,plain,(
% 59.44/7.87 ~spl0_56|spl0_19),
% 59.44/7.87 inference(split_clause,[status(thm)],[f125,f384,f247])).
% 59.44/7.87 fof(f392,plain,(
% 59.44/7.87 spl0_58 <=> cn2),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f394,plain,(
% 59.44/7.87 ~cn2|spl0_58),
% 59.44/7.87 inference(component_clause,[status(thm)],[f392])).
% 59.44/7.87 fof(f395,plain,(
% 59.44/7.87 spl0_59 <=> is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f396,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_59)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f395])).
% 59.44/7.87 fof(f398,plain,(
% 59.44/7.87 ~spl0_58|spl0_59),
% 59.44/7.87 inference(split_clause,[status(thm)],[f129,f392,f395])).
% 59.44/7.87 fof(f403,plain,(
% 59.44/7.87 spl0_61 <=> cn3),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f405,plain,(
% 59.44/7.87 ~cn3|spl0_61),
% 59.44/7.87 inference(component_clause,[status(thm)],[f403])).
% 59.44/7.87 fof(f406,plain,(
% 59.44/7.87 spl0_62 <=> is_a_theorem(implies(implies(not(X0),X0),X0))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f407,plain,(
% 59.44/7.87 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0))|~spl0_62)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f406])).
% 59.44/7.87 fof(f409,plain,(
% 59.44/7.87 ~spl0_61|spl0_62),
% 59.44/7.87 inference(split_clause,[status(thm)],[f133,f403,f406])).
% 59.44/7.87 fof(f417,plain,(
% 59.44/7.87 spl0_65 <=> is_a_theorem(implies(or(X0,X0),X0))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f418,plain,(
% 59.44/7.87 ![X0]: (is_a_theorem(implies(or(X0,X0),X0))|~spl0_65)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f417])).
% 59.44/7.87 fof(f466,plain,(
% 59.44/7.87 spl0_78 <=> op_or),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f468,plain,(
% 59.44/7.87 ~op_or|spl0_78),
% 59.44/7.87 inference(component_clause,[status(thm)],[f466])).
% 59.44/7.87 fof(f469,plain,(
% 59.44/7.87 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f470,plain,(
% 59.44/7.87 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f469])).
% 59.44/7.87 fof(f472,plain,(
% 59.44/7.87 ~spl0_78|spl0_79),
% 59.44/7.87 inference(split_clause,[status(thm)],[f156,f466,f469])).
% 59.44/7.87 fof(f480,plain,(
% 59.44/7.87 spl0_82 <=> op_implies_and),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f482,plain,(
% 59.44/7.87 ~op_implies_and|spl0_82),
% 59.44/7.87 inference(component_clause,[status(thm)],[f480])).
% 59.44/7.87 fof(f483,plain,(
% 59.44/7.87 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 59.44/7.87 introduced(split_symbol_definition)).
% 59.44/7.87 fof(f484,plain,(
% 59.44/7.87 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 59.44/7.87 inference(component_clause,[status(thm)],[f483])).
% 59.44/7.87 fof(f486,plain,(
% 59.44/7.87 ~spl0_82|spl0_83),
% 59.44/7.87 inference(split_clause,[status(thm)],[f160,f480,f483])).
% 59.44/7.87 fof(f503,plain,(
% 59.44/7.87 $false|spl0_0),
% 59.44/7.87 inference(forward_subsumption_resolution,[status(thm)],[f179,f168])).
% 59.44/7.87 fof(f504,plain,(
% 59.44/7.87 spl0_0),
% 59.44/7.87 inference(contradiction_clause,[status(thm)],[f503])).
% 59.44/7.87 fof(f507,plain,(
% 59.44/7.87 $false|spl0_82),
% 59.44/7.87 inference(forward_subsumption_resolution,[status(thm)],[f482,f174])).
% 59.44/7.87 fof(f508,plain,(
% 59.44/7.87 spl0_82),
% 59.44/7.87 inference(contradiction_clause,[status(thm)],[f507])).
% 59.44/7.87 fof(f509,plain,(
% 59.44/7.87 $false|spl0_78),
% 59.44/7.87 inference(forward_subsumption_resolution,[status(thm)],[f468,f165])).
% 59.44/7.87 fof(f510,plain,(
% 59.44/7.87 spl0_78),
% 59.44/7.87 inference(contradiction_clause,[status(thm)],[f509])).
% 59.44/7.87 fof(f521,plain,(
% 59.44/7.87 $false|spl0_61),
% 59.44/7.87 inference(forward_subsumption_resolution,[status(thm)],[f405,f171])).
% 59.44/7.87 fof(f522,plain,(
% 59.44/7.87 spl0_61),
% 59.44/7.87 inference(contradiction_clause,[status(thm)],[f521])).
% 59.44/7.87 fof(f531,plain,(
% 59.44/7.87 $false|spl0_58),
% 59.44/7.87 inference(forward_subsumption_resolution,[status(thm)],[f394,f170])).
% 59.44/7.87 fof(f532,plain,(
% 59.44/7.87 spl0_58),
% 59.44/7.87 inference(contradiction_clause,[status(thm)],[f531])).
% 59.44/7.87 fof(f535,plain,(
% 59.44/7.87 $false|~spl0_13|spl0_14),
% 59.44/7.87 inference(forward_subsumption_resolution,[status(thm)],[f231,f226])).
% 59.44/7.87 fof(f536,plain,(
% 59.44/7.87 ~spl0_13|spl0_14),
% 59.44/7.87 inference(contradiction_clause,[status(thm)],[f535])).
% 59.44/7.87 fof(f549,plain,(
% 59.44/7.87 ![X0,X1,X2]: (implies(X0,and(X1,not(X2)))=not(and(X0,implies(X1,X2)))|~spl0_83)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f484,f484])).
% 59.44/7.87 fof(f552,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),and(X0,not(X1))),and(X0,not(X1))))|~spl0_62|~spl0_83)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f484,f407])).
% 59.44/7.87 fof(f561,plain,(
% 59.44/7.87 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(forward_demodulation,[status(thm)],[f484,f470])).
% 59.44/7.87 fof(f565,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~spl0_83|~spl0_79|~spl0_59)),
% 59.44/7.87 inference(backward_demodulation,[status(thm)],[f561,f396])).
% 59.44/7.87 fof(f566,plain,(
% 59.44/7.87 spl0_31|~spl0_83|~spl0_79|~spl0_59),
% 59.44/7.87 inference(split_clause,[status(thm)],[f565,f291,f483,f469,f395])).
% 59.44/7.87 fof(f567,plain,(
% 59.44/7.87 ![X0]: (is_a_theorem(implies(or(X0,X0),X0))|~spl0_83|~spl0_79|~spl0_62)),
% 59.44/7.87 inference(backward_demodulation,[status(thm)],[f561,f407])).
% 59.44/7.87 fof(f568,plain,(
% 59.44/7.87 spl0_65|~spl0_83|~spl0_79|~spl0_62),
% 59.44/7.87 inference(split_clause,[status(thm)],[f567,f417,f483,f469,f406])).
% 59.44/7.87 fof(f569,plain,(
% 59.44/7.87 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2)|~spl0_79|~spl0_83)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f484,f561])).
% 59.44/7.87 fof(f574,plain,(
% 59.44/7.87 ![X0,X1]: (~is_a_theorem(not(X0))|~is_a_theorem(or(X0,X1))|is_a_theorem(X1)|~spl0_1|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f181])).
% 59.44/7.87 fof(f601,plain,(
% 59.44/7.87 $false|spl0_56),
% 59.44/7.87 inference(forward_subsumption_resolution,[status(thm)],[f386,f169])).
% 59.44/7.87 fof(f602,plain,(
% 59.44/7.87 spl0_56),
% 59.44/7.87 inference(contradiction_clause,[status(thm)],[f601])).
% 59.44/7.87 fof(f603,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))|~spl0_19|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f248,f181])).
% 59.44/7.87 fof(f605,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X0),X2))))|~spl0_19|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f248])).
% 59.44/7.87 fof(f606,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))))|~spl0_19|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(forward_demodulation,[status(thm)],[f561,f605])).
% 59.44/7.87 fof(f615,plain,(
% 59.44/7.87 ![X0,X1,X2,X3]: (or(and(X0,implies(X1,X2)),X3)=implies(implies(X0,and(X1,not(X2))),X3)|~spl0_79|~spl0_83)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f484,f569])).
% 59.44/7.87 fof(f646,plain,(
% 59.44/7.87 ![X0,X1,X2]: (implies(X0,and(not(X1),not(X2)))=not(and(X0,or(X1,X2)))|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f549])).
% 59.44/7.87 fof(f702,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))|~spl0_19|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f248,f181])).
% 59.44/7.87 fof(f709,plain,(
% 59.44/7.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))|~spl0_1|~spl0_19)),
% 59.44/7.87 inference(resolution,[status(thm)],[f603,f248])).
% 59.44/7.87 fof(f711,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(or(X0,X0),X1)))|~spl0_19|~spl0_1|~spl0_65)),
% 59.44/7.87 inference(resolution,[status(thm)],[f603,f418])).
% 59.44/7.87 fof(f712,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(or(X0,X1),X2),implies(X0,X2)))|~spl0_19|~spl0_1|~spl0_31)),
% 59.44/7.87 inference(resolution,[status(thm)],[f603,f292])).
% 59.44/7.87 fof(f713,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2)))|~spl0_19|~spl0_1|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f603])).
% 59.44/7.87 fof(f714,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(implies(implies(X1,X2),or(X0,X2)))|~spl0_19|~spl0_1|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(forward_demodulation,[status(thm)],[f561,f713])).
% 59.44/7.87 fof(f721,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(implies(or(X0,X1),X2))|is_a_theorem(implies(X0,X2))|~spl0_19|~spl0_31|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f712,f181])).
% 59.44/7.87 fof(f724,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(or(not(X0),X1),X2),or(X0,X2)))|~spl0_19|~spl0_1|~spl0_31|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f712])).
% 59.44/7.87 fof(f752,plain,(
% 59.44/7.87 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_19|~spl0_31|~spl0_1|~spl0_65)),
% 59.44/7.87 inference(resolution,[status(thm)],[f721,f418])).
% 59.44/7.87 fof(f928,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(implies(or(not(X0),X1),X2))|is_a_theorem(or(X0,X2))|~spl0_19|~spl0_31|~spl0_83|~spl0_79|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f724,f181])).
% 59.44/7.87 fof(f979,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),or(X0,X2))))|~spl0_83|~spl0_79|~spl0_19|~spl0_31|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f606,f721])).
% 59.44/7.87 fof(f995,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),or(X0,X2)))|~spl0_83|~spl0_79|~spl0_19|~spl0_31|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f979,f181])).
% 59.44/7.87 fof(f1037,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(implies(X2,X2),X1)))|~spl0_83|~spl0_79|~spl0_19|~spl0_31|~spl0_1|~spl0_65)),
% 59.44/7.87 inference(resolution,[status(thm)],[f995,f752])).
% 59.44/7.87 fof(f1045,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(implies(or(X0,X1),and(not(X0),not(X1))),and(not(X0),not(X1))))|~spl0_62|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f552])).
% 59.44/7.87 fof(f1072,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(implies(X2,X2),X1)))|~spl0_19|~spl0_31|~spl0_1|~spl0_65|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f1037])).
% 59.44/7.87 fof(f1114,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,or(implies(X1,X1),X2)))|~spl0_65|~spl0_83|~spl0_79|~spl0_19|~spl0_31|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f1072,f721])).
% 59.44/7.87 fof(f1135,plain,(
% 59.44/7.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(or(implies(X0,X0),X1),X2),implies(X3,X2)))|~spl0_65|~spl0_83|~spl0_79|~spl0_31|~spl0_19|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f1114,f603])).
% 59.44/7.87 fof(f2521,plain,(
% 59.44/7.87 ![X0,X1,X2,X3]: (~is_a_theorem(implies(or(implies(X0,X0),X1),X2))|is_a_theorem(implies(X3,X2))|~spl0_65|~spl0_83|~spl0_79|~spl0_31|~spl0_19|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f1135,f181])).
% 59.44/7.87 fof(f2580,plain,(
% 59.44/7.87 ![X0,X1,X2]: (or(X0,and(not(X1),not(X2)))=not(and(not(X0),or(X1,X2)))|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(paramodulation,[status(thm)],[f561,f646])).
% 59.44/7.87 fof(f3498,plain,(
% 59.44/7.87 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3))|~spl0_19|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f709,f181])).
% 59.44/7.87 fof(f4144,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_83|~spl0_79|~spl0_31|~spl0_19|~spl0_1|~spl0_65)),
% 59.44/7.87 inference(resolution,[status(thm)],[f2521,f418])).
% 59.44/7.87 fof(f4171,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))|~spl0_83|~spl0_79|~spl0_31|~spl0_65|~spl0_19|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f4144,f702])).
% 59.44/7.87 fof(f4472,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(or(and(or(X0,X1),implies(not(X0),X1)),and(not(X0),not(X1))))|~spl0_62|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(forward_demodulation,[status(thm)],[f615,f1045])).
% 59.44/7.87 fof(f4473,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(or(and(or(X0,X1),or(X0,X1)),and(not(X0),not(X1))))|~spl0_62|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(forward_demodulation,[status(thm)],[f561,f4472])).
% 59.44/7.87 fof(f4506,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1))|~spl0_83|~spl0_79|~spl0_31|~spl0_65|~spl0_19|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f4171,f181])).
% 59.44/7.87 fof(f4698,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(or(X1,X1),X1)))|~spl0_83|~spl0_79|~spl0_31|~spl0_19|~spl0_1|~spl0_65)),
% 59.44/7.87 inference(resolution,[status(thm)],[f4506,f711])).
% 59.44/7.87 fof(f4807,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(or(X0,implies(or(X1,X1),X1)))|~spl0_65|~spl0_19|~spl0_31|~spl0_83|~spl0_79|~spl0_1)),
% 59.44/7.87 inference(resolution,[status(thm)],[f4698,f928])).
% 59.44/7.87 fof(f4895,plain,(
% 59.44/7.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(or(X0,X0),X0),X1),or(X2,X1)))|~spl0_65|~spl0_31|~spl0_19|~spl0_1|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(resolution,[status(thm)],[f4807,f714])).
% 59.44/7.87 fof(f21445,plain,(
% 59.44/7.87 ![X0,X1]: (is_a_theorem(not(and(not(and(or(X0,X1),or(X0,X1))),or(X0,X1))))|~spl0_62|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(backward_demodulation,[status(thm)],[f2580,f4473])).
% 59.44/7.87 fof(f22622,plain,(
% 59.44/7.87 ![X0,X1,X2]: (~is_a_theorem(or(and(not(and(or(X0,X1),or(X0,X1))),or(X0,X1)),X2))|is_a_theorem(X2)|~spl0_62|~spl0_1|~spl0_83|~spl0_79)),
% 59.44/7.87 inference(resolution,[status(thm)],[f21445,f574])).
% 60.43/8.05 fof(f30249,plain,(
% 60.43/8.05 $false|~spl0_12),
% 60.43/8.05 inference(forward_subsumption_resolution,[status(thm)],[f223,f176])).
% 60.43/8.05 fof(f30250,plain,(
% 60.43/8.05 ~spl0_12),
% 60.43/8.05 inference(contradiction_clause,[status(thm)],[f30249])).
% 60.43/8.05 fof(f54840,plain,(
% 60.43/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,or(X1,X1)),or(X2,implies(X0,X1))))|~spl0_65|~spl0_31|~spl0_19|~spl0_1|~spl0_83|~spl0_79)),
% 60.43/8.05 inference(resolution,[status(thm)],[f3498,f4895])).
% 60.43/8.05 fof(f54845,plain,(
% 60.43/8.05 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1))))|~spl0_83|~spl0_79|~spl0_31|~spl0_65|~spl0_19|~spl0_1)),
% 60.43/8.05 inference(resolution,[status(thm)],[f3498,f4171])).
% 60.43/8.05 fof(f55146,plain,(
% 60.43/8.05 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(X2,implies(not(X0),X1))))|~spl0_31|~spl0_65|~spl0_19|~spl0_1|~spl0_83|~spl0_79)),
% 60.43/8.05 inference(paramodulation,[status(thm)],[f561,f54845])).
% 60.43/8.05 fof(f55147,plain,(
% 60.43/8.05 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(X2,or(X0,X1))))|~spl0_31|~spl0_65|~spl0_19|~spl0_1|~spl0_83|~spl0_79)),
% 60.43/8.05 inference(forward_demodulation,[status(thm)],[f561,f55146])).
% 60.43/8.05 fof(f55450,plain,(
% 60.43/8.05 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,or(X0,X2))))|~spl0_65|~spl0_83|~spl0_79|~spl0_19|~spl0_31|~spl0_1)),
% 60.43/8.05 inference(resolution,[status(thm)],[f55147,f721])).
% 60.43/8.05 fof(f55546,plain,(
% 60.43/8.05 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,or(X1,X2)),X3),implies(X1,X3)))|~spl0_65|~spl0_83|~spl0_79|~spl0_31|~spl0_19|~spl0_1)),
% 60.43/8.05 inference(resolution,[status(thm)],[f55450,f702])).
% 60.43/8.05 fof(f70999,plain,(
% 60.43/8.05 ![X0,X1,X2]: (~is_a_theorem(implies(X0,or(X1,X1)))|is_a_theorem(or(X2,implies(X0,X1)))|~spl0_65|~spl0_31|~spl0_19|~spl0_83|~spl0_79|~spl0_1)),
% 60.43/8.05 inference(resolution,[status(thm)],[f54840,f181])).
% 60.43/8.05 fof(f73350,plain,(
% 60.43/8.05 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,or(X1,X2)),X3))|is_a_theorem(implies(X1,X3))|~spl0_65|~spl0_83|~spl0_79|~spl0_31|~spl0_19|~spl0_1)),
% 60.43/8.05 inference(resolution,[status(thm)],[f55546,f181])).
% 60.43/8.05 fof(f118007,plain,(
% 60.43/8.05 ![X0,X1,X2]: (is_a_theorem(implies(X0,or(X1,implies(X2,X0))))|~spl0_65|~spl0_31|~spl0_19|~spl0_1|~spl0_83|~spl0_79)),
% 60.43/8.05 inference(resolution,[status(thm)],[f73350,f54840])).
% 60.43/8.05 fof(f118239,plain,(
% 60.43/8.05 ![X0,X1,X2]: (is_a_theorem(or(X0,implies(X1,implies(X2,X1))))|~spl0_65|~spl0_31|~spl0_19|~spl0_83|~spl0_79|~spl0_1)),
% 60.43/8.05 inference(resolution,[status(thm)],[f118007,f70999])).
% 60.43/8.05 fof(f118363,plain,(
% 60.43/8.05 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_65|~spl0_31|~spl0_19|~spl0_62|~spl0_1|~spl0_83|~spl0_79)),
% 60.43/8.05 inference(resolution,[status(thm)],[f118239,f22622])).
% 60.43/8.05 fof(f118364,plain,(
% 60.43/8.05 spl0_13|~spl0_65|~spl0_31|~spl0_19|~spl0_62|~spl0_1|~spl0_83|~spl0_79),
% 60.43/8.05 inference(split_clause,[status(thm)],[f118363,f225,f417,f291,f247,f406,f180,f483,f469])).
% 60.43/8.05 fof(f118420,plain,(
% 60.43/8.05 $false),
% 60.43/8.05 inference(sat_refutation,[status(thm)],[f183,f232,f387,f398,f409,f472,f486,f504,f508,f510,f522,f532,f536,f566,f568,f602,f30250,f118364])).
% 60.43/8.05 % SZS output end CNFRefutation for theBenchmark.p
% 60.80/8.08 % Elapsed time: 7.728222 seconds
% 60.80/8.08 % CPU time: 60.314706 seconds
% 60.80/8.08 % Memory used: 605.837 MB
%------------------------------------------------------------------------------