TSTP Solution File: LCL498+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL498+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:19:27 EDT 2023
% Result : Theorem 49.46s 6.69s
% Output : CNFRefutation 49.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL498+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 09:45:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 49.46/6.69 % Refutation found
% 49.46/6.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 49.46/6.69 % SZS output start CNFRefutation for theBenchmark
% 49.46/6.69 fof(f1,axiom,(
% 49.46/6.69 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f10,axiom,(
% 49.46/6.69 ( or_1<=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f19,axiom,(
% 49.46/6.69 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f21,axiom,(
% 49.46/6.69 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f22,axiom,(
% 49.46/6.69 ( r1<=> (! [P] : is_a_theorem(implies(or(P,P),P)) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f23,axiom,(
% 49.46/6.69 ( r2<=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f24,axiom,(
% 49.46/6.69 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f25,axiom,(
% 49.46/6.69 ( r4<=> (! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f26,axiom,(
% 49.46/6.69 ( r5<=> (! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f28,axiom,(
% 49.46/6.69 ( op_and=> (! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f30,axiom,(
% 49.46/6.69 ( op_implies_or=> (! [X,Y] : implies(X,Y) = or(not(X),Y) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f31,axiom,(
% 49.46/6.69 ( op_equiv=> (! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) )) ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f32,axiom,(
% 49.46/6.69 op_implies_or ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f33,axiom,(
% 49.46/6.69 op_and ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f34,axiom,(
% 49.46/6.69 op_equiv ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f35,axiom,(
% 49.46/6.69 modus_ponens ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f36,axiom,(
% 49.46/6.69 r1 ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f37,axiom,(
% 49.46/6.69 r2 ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f38,axiom,(
% 49.46/6.69 r3 ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f39,axiom,(
% 49.46/6.69 r4 ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f40,axiom,(
% 49.46/6.69 r5 ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f45,conjecture,(
% 49.46/6.69 cn3 ),
% 49.46/6.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.46/6.69 fof(f46,negated_conjecture,(
% 49.46/6.69 ~(cn3 )),
% 49.46/6.69 inference(negated_conjecture,[status(cth)],[f45])).
% 49.46/6.69 fof(f47,plain,(
% 49.46/6.69 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 49.46/6.69 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 49.46/6.69 fof(f48,plain,(
% 49.46/6.69 (~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))))),
% 49.46/6.69 inference(NNF_transformation,[status(esa)],[f47])).
% 49.46/6.69 fof(f49,plain,(
% 49.46/6.69 (~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))))),
% 49.46/6.69 inference(miniscoping,[status(esa)],[f48])).
% 49.46/6.69 fof(f50,plain,(
% 49.46/6.69 (~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)))),
% 49.46/6.69 inference(skolemization,[status(esa)],[f49])).
% 49.46/6.69 fof(f51,plain,(
% 49.46/6.69 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 49.46/6.69 inference(cnf_transformation,[status(esa)],[f50])).
% 49.46/6.69 fof(f89,plain,(
% 49.46/6.69 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|(?[X,Y]: ~is_a_theorem(implies(X,or(X,Y)))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f10])).
% 49.46/6.70 fof(f90,plain,(
% 49.46/6.70 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|~is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20))))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f89])).
% 49.46/6.70 fof(f91,plain,(
% 49.46/6.70 ![X0,X1]: (~or_1|is_a_theorem(implies(X0,or(X0,X1))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f90])).
% 49.46/6.70 fof(f92,plain,(
% 49.46/6.70 or_1|~is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f90])).
% 49.46/6.70 fof(f125,plain,(
% 49.46/6.70 (~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))))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f19])).
% 49.46/6.70 fof(f126,plain,(
% 49.46/6.70 (~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)))))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f125])).
% 49.46/6.70 fof(f127,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~cn1|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f126])).
% 49.46/6.70 fof(f128,plain,(
% 49.46/6.70 cn1|~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f126])).
% 49.46/6.70 fof(f133,plain,(
% 49.46/6.70 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f21])).
% 49.46/6.70 fof(f134,plain,(
% 49.46/6.70 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43)))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f133])).
% 49.46/6.70 fof(f136,plain,(
% 49.46/6.70 cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f134])).
% 49.46/6.70 fof(f137,plain,(
% 49.46/6.70 (~r1|(![P]: is_a_theorem(implies(or(P,P),P))))&(r1|(?[P]: ~is_a_theorem(implies(or(P,P),P))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f22])).
% 49.46/6.70 fof(f138,plain,(
% 49.46/6.70 (~r1|(![P]: is_a_theorem(implies(or(P,P),P))))&(r1|~is_a_theorem(implies(or(sk0_44,sk0_44),sk0_44)))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f137])).
% 49.46/6.70 fof(f139,plain,(
% 49.46/6.70 ![X0]: (~r1|is_a_theorem(implies(or(X0,X0),X0)))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f138])).
% 49.46/6.70 fof(f141,plain,(
% 49.46/6.70 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|(?[P,Q]: ~is_a_theorem(implies(Q,or(P,Q)))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f23])).
% 49.46/6.70 fof(f142,plain,(
% 49.46/6.70 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46))))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f141])).
% 49.46/6.70 fof(f143,plain,(
% 49.46/6.70 ![X0,X1]: (~r2|is_a_theorem(implies(X0,or(X1,X0))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f142])).
% 49.46/6.70 fof(f145,plain,(
% 49.46/6.70 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|(?[P,Q]: ~is_a_theorem(implies(or(P,Q),or(Q,P)))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f24])).
% 49.46/6.70 fof(f146,plain,(
% 49.46/6.70 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47))))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f145])).
% 49.46/6.70 fof(f147,plain,(
% 49.46/6.70 ![X0,X1]: (~r3|is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f146])).
% 49.46/6.70 fof(f149,plain,(
% 49.46/6.70 (~r4|(![P,Q,R]: is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))))&(r4|(?[P,Q,R]: ~is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f25])).
% 49.46/6.70 fof(f150,plain,(
% 49.46/6.70 (~r4|(![P,Q,R]: is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))))&(r4|~is_a_theorem(implies(or(sk0_49,or(sk0_50,sk0_51)),or(sk0_50,or(sk0_49,sk0_51)))))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f149])).
% 49.46/6.70 fof(f151,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~r4|is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f150])).
% 49.46/6.70 fof(f153,plain,(
% 49.46/6.70 (~r5|(![P,Q,R]: is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))))&(r5|(?[P,Q,R]: ~is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))))),
% 49.46/6.70 inference(NNF_transformation,[status(esa)],[f26])).
% 49.46/6.70 fof(f154,plain,(
% 49.46/6.70 (~r5|(![P,Q,R]: is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))))&(r5|~is_a_theorem(implies(implies(sk0_53,sk0_54),implies(or(sk0_52,sk0_53),or(sk0_52,sk0_54)))))),
% 49.46/6.70 inference(skolemization,[status(esa)],[f153])).
% 49.46/6.70 fof(f155,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~r5|is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f154])).
% 49.46/6.70 fof(f159,plain,(
% 49.46/6.70 ~op_and|(![X,Y]: and(X,Y)=not(or(not(X),not(Y))))),
% 49.46/6.70 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 49.46/6.70 fof(f160,plain,(
% 49.46/6.70 ![X0,X1]: (~op_and|and(X0,X1)=not(or(not(X0),not(X1))))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f159])).
% 49.46/6.70 fof(f163,plain,(
% 49.46/6.70 ~op_implies_or|(![X,Y]: implies(X,Y)=or(not(X),Y))),
% 49.46/6.70 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 49.46/6.70 fof(f164,plain,(
% 49.46/6.70 ![X0,X1]: (~op_implies_or|implies(X0,X1)=or(not(X0),X1))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f163])).
% 49.46/6.70 fof(f165,plain,(
% 49.46/6.70 ~op_equiv|(![X,Y]: equiv(X,Y)=and(implies(X,Y),implies(Y,X)))),
% 49.46/6.70 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 49.46/6.70 fof(f166,plain,(
% 49.46/6.70 ![X0,X1]: (~op_equiv|equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f165])).
% 49.46/6.70 fof(f167,plain,(
% 49.46/6.70 op_implies_or),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f32])).
% 49.46/6.70 fof(f168,plain,(
% 49.46/6.70 op_and),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f33])).
% 49.46/6.70 fof(f169,plain,(
% 49.46/6.70 op_equiv),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f34])).
% 49.46/6.70 fof(f170,plain,(
% 49.46/6.70 modus_ponens),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f35])).
% 49.46/6.70 fof(f171,plain,(
% 49.46/6.70 r1),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f36])).
% 49.46/6.70 fof(f172,plain,(
% 49.46/6.70 r2),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f37])).
% 49.46/6.70 fof(f173,plain,(
% 49.46/6.70 r3),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f38])).
% 49.46/6.70 fof(f174,plain,(
% 49.46/6.70 r4),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f39])).
% 49.46/6.70 fof(f175,plain,(
% 49.46/6.70 r5),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f40])).
% 49.46/6.70 fof(f180,plain,(
% 49.46/6.70 ~cn3),
% 49.46/6.70 inference(cnf_transformation,[status(esa)],[f46])).
% 49.46/6.70 fof(f181,plain,(
% 49.46/6.70 spl0_0 <=> modus_ponens),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f183,plain,(
% 49.46/6.70 ~modus_ponens|spl0_0),
% 49.46/6.70 inference(component_clause,[status(thm)],[f181])).
% 49.46/6.70 fof(f184,plain,(
% 49.46/6.70 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f185,plain,(
% 49.46/6.70 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f184])).
% 49.46/6.70 fof(f187,plain,(
% 49.46/6.70 ~spl0_0|spl0_1),
% 49.46/6.70 inference(split_clause,[status(thm)],[f51,f181,f184])).
% 49.46/6.70 fof(f229,plain,(
% 49.46/6.70 spl0_13 <=> is_a_theorem(implies(X0,implies(X1,X0)))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f230,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_13)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f229])).
% 49.46/6.70 fof(f251,plain,(
% 49.46/6.70 spl0_19 <=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f252,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_19)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f251])).
% 49.46/6.70 fof(f292,plain,(
% 49.46/6.70 spl0_30 <=> or_1),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f295,plain,(
% 49.46/6.70 spl0_31 <=> is_a_theorem(implies(X0,or(X0,X1)))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f296,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~spl0_31)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f295])).
% 49.46/6.70 fof(f298,plain,(
% 49.46/6.70 ~spl0_30|spl0_31),
% 49.46/6.70 inference(split_clause,[status(thm)],[f91,f292,f295])).
% 49.46/6.70 fof(f299,plain,(
% 49.46/6.70 spl0_32 <=> is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f301,plain,(
% 49.46/6.70 ~is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))|spl0_32),
% 49.46/6.70 inference(component_clause,[status(thm)],[f299])).
% 49.46/6.70 fof(f302,plain,(
% 49.46/6.70 spl0_30|~spl0_32),
% 49.46/6.70 inference(split_clause,[status(thm)],[f92,f292,f299])).
% 49.46/6.70 fof(f306,plain,(
% 49.46/6.70 spl0_34 <=> is_a_theorem(implies(X0,or(X1,X0)))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f307,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0)))|~spl0_34)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f306])).
% 49.46/6.70 fof(f388,plain,(
% 49.46/6.70 spl0_56 <=> cn1),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f391,plain,(
% 49.46/6.70 ~spl0_56|spl0_19),
% 49.46/6.70 inference(split_clause,[status(thm)],[f127,f388,f251])).
% 49.46/6.70 fof(f392,plain,(
% 49.46/6.70 spl0_57 <=> is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f394,plain,(
% 49.46/6.70 ~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))|spl0_57),
% 49.46/6.70 inference(component_clause,[status(thm)],[f392])).
% 49.46/6.70 fof(f395,plain,(
% 49.46/6.70 spl0_56|~spl0_57),
% 49.46/6.70 inference(split_clause,[status(thm)],[f128,f388,f392])).
% 49.46/6.70 fof(f407,plain,(
% 49.46/6.70 spl0_61 <=> cn3),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f408,plain,(
% 49.46/6.70 cn3|~spl0_61),
% 49.46/6.70 inference(component_clause,[status(thm)],[f407])).
% 49.46/6.70 fof(f414,plain,(
% 49.46/6.70 spl0_63 <=> is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f416,plain,(
% 49.46/6.70 ~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))|spl0_63),
% 49.46/6.70 inference(component_clause,[status(thm)],[f414])).
% 49.46/6.70 fof(f417,plain,(
% 49.46/6.70 spl0_61|~spl0_63),
% 49.46/6.70 inference(split_clause,[status(thm)],[f136,f407,f414])).
% 49.46/6.70 fof(f418,plain,(
% 49.46/6.70 spl0_64 <=> r1),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f420,plain,(
% 49.46/6.70 ~r1|spl0_64),
% 49.46/6.70 inference(component_clause,[status(thm)],[f418])).
% 49.46/6.70 fof(f421,plain,(
% 49.46/6.70 spl0_65 <=> is_a_theorem(implies(or(X0,X0),X0))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f422,plain,(
% 49.46/6.70 ![X0]: (is_a_theorem(implies(or(X0,X0),X0))|~spl0_65)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f421])).
% 49.46/6.70 fof(f424,plain,(
% 49.46/6.70 ~spl0_64|spl0_65),
% 49.46/6.70 inference(split_clause,[status(thm)],[f139,f418,f421])).
% 49.46/6.70 fof(f429,plain,(
% 49.46/6.70 spl0_67 <=> r2),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f431,plain,(
% 49.46/6.70 ~r2|spl0_67),
% 49.46/6.70 inference(component_clause,[status(thm)],[f429])).
% 49.46/6.70 fof(f432,plain,(
% 49.46/6.70 ~spl0_67|spl0_34),
% 49.46/6.70 inference(split_clause,[status(thm)],[f143,f429,f306])).
% 49.46/6.70 fof(f437,plain,(
% 49.46/6.70 spl0_69 <=> r3),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f439,plain,(
% 49.46/6.70 ~r3|spl0_69),
% 49.46/6.70 inference(component_clause,[status(thm)],[f437])).
% 49.46/6.70 fof(f440,plain,(
% 49.46/6.70 spl0_70 <=> is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f441,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0)))|~spl0_70)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f440])).
% 49.46/6.70 fof(f443,plain,(
% 49.46/6.70 ~spl0_69|spl0_70),
% 49.46/6.70 inference(split_clause,[status(thm)],[f147,f437,f440])).
% 49.46/6.70 fof(f448,plain,(
% 49.46/6.70 spl0_72 <=> r4),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f450,plain,(
% 49.46/6.70 ~r4|spl0_72),
% 49.46/6.70 inference(component_clause,[status(thm)],[f448])).
% 49.46/6.70 fof(f451,plain,(
% 49.46/6.70 spl0_73 <=> is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f452,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))|~spl0_73)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f451])).
% 49.46/6.70 fof(f454,plain,(
% 49.46/6.70 ~spl0_72|spl0_73),
% 49.46/6.70 inference(split_clause,[status(thm)],[f151,f448,f451])).
% 49.46/6.70 fof(f459,plain,(
% 49.46/6.70 spl0_75 <=> r5),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f461,plain,(
% 49.46/6.70 ~r5|spl0_75),
% 49.46/6.70 inference(component_clause,[status(thm)],[f459])).
% 49.46/6.70 fof(f462,plain,(
% 49.46/6.70 spl0_76 <=> is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f463,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))|~spl0_76)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f462])).
% 49.46/6.70 fof(f465,plain,(
% 49.46/6.70 ~spl0_75|spl0_76),
% 49.46/6.70 inference(split_clause,[status(thm)],[f155,f459,f462])).
% 49.46/6.70 fof(f477,plain,(
% 49.46/6.70 spl0_80 <=> op_and),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f479,plain,(
% 49.46/6.70 ~op_and|spl0_80),
% 49.46/6.70 inference(component_clause,[status(thm)],[f477])).
% 49.46/6.70 fof(f480,plain,(
% 49.46/6.70 spl0_81 <=> and(X0,X1)=not(or(not(X0),not(X1)))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f481,plain,(
% 49.46/6.70 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1)))|~spl0_81)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f480])).
% 49.46/6.70 fof(f483,plain,(
% 49.46/6.70 ~spl0_80|spl0_81),
% 49.46/6.70 inference(split_clause,[status(thm)],[f160,f477,f480])).
% 49.46/6.70 fof(f491,plain,(
% 49.46/6.70 spl0_84 <=> op_implies_or),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f493,plain,(
% 49.46/6.70 ~op_implies_or|spl0_84),
% 49.46/6.70 inference(component_clause,[status(thm)],[f491])).
% 49.46/6.70 fof(f494,plain,(
% 49.46/6.70 spl0_85 <=> implies(X0,X1)=or(not(X0),X1)),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f495,plain,(
% 49.46/6.70 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1)|~spl0_85)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f494])).
% 49.46/6.70 fof(f497,plain,(
% 49.46/6.70 ~spl0_84|spl0_85),
% 49.46/6.70 inference(split_clause,[status(thm)],[f164,f491,f494])).
% 49.46/6.70 fof(f498,plain,(
% 49.46/6.70 spl0_86 <=> op_equiv),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f500,plain,(
% 49.46/6.70 ~op_equiv|spl0_86),
% 49.46/6.70 inference(component_clause,[status(thm)],[f498])).
% 49.46/6.70 fof(f501,plain,(
% 49.46/6.70 spl0_87 <=> equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f502,plain,(
% 49.46/6.70 ![X0,X1]: (equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))|~spl0_87)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f501])).
% 49.46/6.70 fof(f504,plain,(
% 49.46/6.70 ~spl0_86|spl0_87),
% 49.46/6.70 inference(split_clause,[status(thm)],[f166,f498,f501])).
% 49.46/6.70 fof(f505,plain,(
% 49.46/6.70 $false|spl0_86),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f500,f169])).
% 49.46/6.70 fof(f506,plain,(
% 49.46/6.70 spl0_86),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f505])).
% 49.46/6.70 fof(f507,plain,(
% 49.46/6.70 $false|spl0_84),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f493,f167])).
% 49.46/6.70 fof(f508,plain,(
% 49.46/6.70 spl0_84),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f507])).
% 49.46/6.70 fof(f509,plain,(
% 49.46/6.70 $false|spl0_80),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f479,f168])).
% 49.46/6.70 fof(f510,plain,(
% 49.46/6.70 spl0_80),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f509])).
% 49.46/6.70 fof(f513,plain,(
% 49.46/6.70 $false|spl0_0),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f183,f170])).
% 49.46/6.70 fof(f514,plain,(
% 49.46/6.70 spl0_0),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f513])).
% 49.46/6.70 fof(f517,plain,(
% 49.46/6.70 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1)))|~spl0_85|~spl0_81)),
% 49.46/6.70 inference(forward_demodulation,[status(thm)],[f495,f481])).
% 49.46/6.70 fof(f566,plain,(
% 49.46/6.70 $false|spl0_75),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f461,f175])).
% 49.46/6.70 fof(f567,plain,(
% 49.46/6.70 spl0_75),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f566])).
% 49.46/6.70 fof(f568,plain,(
% 49.46/6.70 $false|spl0_72),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f450,f174])).
% 49.46/6.70 fof(f569,plain,(
% 49.46/6.70 spl0_72),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f568])).
% 49.46/6.70 fof(f570,plain,(
% 49.46/6.70 $false|spl0_69),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f439,f173])).
% 49.46/6.70 fof(f571,plain,(
% 49.46/6.70 spl0_69),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f570])).
% 49.46/6.70 fof(f572,plain,(
% 49.46/6.70 $false|spl0_64),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f420,f171])).
% 49.46/6.70 fof(f573,plain,(
% 49.46/6.70 spl0_64),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f572])).
% 49.46/6.70 fof(f574,plain,(
% 49.46/6.70 $false|spl0_67),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f431,f172])).
% 49.46/6.70 fof(f575,plain,(
% 49.46/6.70 spl0_67),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f574])).
% 49.46/6.70 fof(f577,plain,(
% 49.46/6.70 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2)|~spl0_85|~spl0_81)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f517,f495])).
% 49.46/6.70 fof(f586,plain,(
% 49.46/6.70 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0)))|~spl0_65|~spl0_85)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f495,f422])).
% 49.46/6.70 fof(f587,plain,(
% 49.46/6.70 ![X0]: (is_a_theorem(or(and(X0,X0),not(X0)))|~spl0_81|~spl0_65|~spl0_85)),
% 49.46/6.70 inference(forward_demodulation,[status(thm)],[f577,f586])).
% 49.46/6.70 fof(f589,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_34|~spl0_85)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f495,f307])).
% 49.46/6.70 fof(f590,plain,(
% 49.46/6.70 spl0_13|~spl0_34|~spl0_85),
% 49.46/6.70 inference(split_clause,[status(thm)],[f589,f229,f306,f494])).
% 49.46/6.70 fof(f596,plain,(
% 49.46/6.70 spl0_89 <=> ~is_a_theorem(X1)),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f597,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(X0)|~spl0_89)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f596])).
% 49.46/6.70 fof(f621,plain,(
% 49.46/6.70 ![X0]: (is_a_theorem(or(equiv(X0,X0),not(implies(X0,X0))))|~spl0_81|~spl0_65|~spl0_85|~spl0_87)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f502,f587])).
% 49.46/6.70 fof(f633,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),or(X1,not(X0))))|~spl0_70|~spl0_85)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f495,f441])).
% 49.46/6.70 fof(f663,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1))))|~spl0_76|~spl0_85)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f495,f463])).
% 49.46/6.70 fof(f664,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))|~spl0_76|~spl0_85)),
% 49.46/6.70 inference(forward_demodulation,[status(thm)],[f495,f663])).
% 49.46/6.70 fof(f714,plain,(
% 49.46/6.70 $false|~spl0_89|~spl0_81|~spl0_65|~spl0_85|~spl0_87),
% 49.46/6.70 inference(backward_subsumption_resolution,[status(thm)],[f621,f597])).
% 49.46/6.70 fof(f715,plain,(
% 49.46/6.70 ~spl0_89|~spl0_81|~spl0_65|~spl0_85|~spl0_87),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f714])).
% 49.46/6.70 fof(f1164,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2))))|~spl0_73|~spl0_85)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f495,f452])).
% 49.46/6.70 fof(f1165,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))|~spl0_73|~spl0_85)),
% 49.46/6.70 inference(forward_demodulation,[status(thm)],[f495,f1164])).
% 49.46/6.70 fof(f1220,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2))))|~spl0_73|~spl0_85)),
% 49.46/6.70 inference(paramodulation,[status(thm)],[f495,f1165])).
% 49.46/6.70 fof(f1221,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))|~spl0_73|~spl0_85)),
% 49.46/6.70 inference(forward_demodulation,[status(thm)],[f495,f1220])).
% 49.46/6.70 fof(f1230,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2)))|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1221,f185])).
% 49.46/6.70 fof(f1236,plain,(
% 49.46/6.70 ~is_a_theorem(implies(implies(sk0_39,sk0_40),implies(implies(sk0_38,sk0_39),implies(sk0_38,sk0_40))))|~spl0_73|~spl0_85|~spl0_1|spl0_57),
% 49.46/6.70 inference(resolution,[status(thm)],[f1230,f394])).
% 49.46/6.70 fof(f1237,plain,(
% 49.46/6.70 $false|~spl0_76|~spl0_73|~spl0_85|~spl0_1|spl0_57),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f1236,f664])).
% 49.46/6.70 fof(f1238,plain,(
% 49.46/6.70 ~spl0_76|~spl0_73|~spl0_85|~spl0_1|spl0_57),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f1237])).
% 49.46/6.70 fof(f1243,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(X1)|is_a_theorem(implies(X0,X2))|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1230,f185])).
% 49.46/6.70 fof(f1254,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(implies(sk0_19,implies(X0,or(sk0_19,sk0_20))))|~is_a_theorem(X0)|~spl0_73|~spl0_85|~spl0_1|spl0_32)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1243,f301])).
% 49.46/6.70 fof(f1265,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(implies(implies(not(sk0_43),sk0_43),implies(X0,sk0_43)))|~is_a_theorem(X0)|~spl0_73|~spl0_85|~spl0_1|spl0_63)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1243,f416])).
% 49.46/6.70 fof(f1280,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,implies(sk0_19,or(sk0_19,sk0_20))))|spl0_32|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1254,f1230])).
% 49.46/6.70 fof(f1282,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))|~spl0_19|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f252,f185])).
% 49.46/6.70 fof(f1583,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,implies(implies(not(sk0_43),sk0_43),sk0_43)))|spl0_63|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1265,f1230])).
% 49.46/6.70 fof(f1590,plain,(
% 49.46/6.70 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,implies(X1,implies(implies(not(sk0_43),sk0_43),sk0_43))))|~is_a_theorem(X1)|spl0_63|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1583,f1243])).
% 49.46/6.70 fof(f1639,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(implies(implies(not(sk0_43),sk0_43),X0))|~is_a_theorem(implies(X0,sk0_43))|spl0_63|~spl0_73|~spl0_85|~spl0_1|~spl0_19)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1590,f252])).
% 49.46/6.70 fof(f1660,plain,(
% 49.46/6.70 ~is_a_theorem(implies(implies(not(sk0_43),sk0_43),or(sk0_43,sk0_43)))|spl0_63|~spl0_73|~spl0_85|~spl0_1|~spl0_19|~spl0_65),
% 49.46/6.70 inference(resolution,[status(thm)],[f1639,f422])).
% 49.46/6.70 fof(f1663,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(implies(implies(not(sk0_43),sk0_43),implies(X0,or(sk0_43,sk0_43))))|~is_a_theorem(X0)|spl0_63|~spl0_19|~spl0_65|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1660,f1243])).
% 49.46/6.70 fof(f1671,plain,(
% 49.46/6.70 ~is_a_theorem(or(sk0_43,not(sk0_43)))|spl0_63|~spl0_19|~spl0_65|~spl0_73|~spl0_85|~spl0_1|~spl0_76),
% 49.46/6.70 inference(resolution,[status(thm)],[f1663,f463])).
% 49.46/6.70 fof(f1761,plain,(
% 49.46/6.70 $false|~spl0_61),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f408,f180])).
% 49.46/6.70 fof(f1762,plain,(
% 49.46/6.70 ~spl0_61),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f1761])).
% 49.46/6.70 fof(f1847,plain,(
% 49.46/6.70 ![X0]: (~is_a_theorem(implies(sk0_19,X0))|~is_a_theorem(implies(X0,or(sk0_19,sk0_20)))|~spl0_19|spl0_32|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1282,f1280])).
% 49.46/6.70 fof(f1854,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2))|~spl0_19|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1282,f185])).
% 49.46/6.70 fof(f1894,plain,(
% 49.46/6.70 ~is_a_theorem(implies(sk0_19,or(sk0_20,sk0_19)))|~spl0_19|spl0_32|~spl0_73|~spl0_85|~spl0_1|~spl0_70),
% 49.46/6.70 inference(resolution,[status(thm)],[f1847,f441])).
% 49.46/6.70 fof(f1895,plain,(
% 49.46/6.70 $false|~spl0_34|~spl0_19|spl0_32|~spl0_73|~spl0_85|~spl0_1|~spl0_70),
% 49.46/6.70 inference(forward_subsumption_resolution,[status(thm)],[f1894,f307])).
% 49.46/6.70 fof(f1896,plain,(
% 49.46/6.70 ~spl0_34|~spl0_19|spl0_32|~spl0_73|~spl0_85|~spl0_1|~spl0_70),
% 49.46/6.70 inference(contradiction_clause,[status(thm)],[f1895])).
% 49.46/6.70 fof(f2809,plain,(
% 49.46/6.70 ![X0,X1]: (~is_a_theorem(implies(X0,or(X1,X1)))|is_a_theorem(implies(X0,X1))|~spl0_19|~spl0_1|~spl0_65)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1854,f422])).
% 49.46/6.70 fof(f2864,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1)))|~spl0_19|~spl0_1|~spl0_13)),
% 49.46/6.70 inference(resolution,[status(thm)],[f1854,f230])).
% 49.46/6.70 fof(f2874,plain,(
% 49.46/6.70 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_19|~spl0_1|~spl0_65|~spl0_31)),
% 49.46/6.70 inference(resolution,[status(thm)],[f2809,f296])).
% 49.46/6.70 fof(f4770,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(X2,X1))|~spl0_19|~spl0_13|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f2864,f185])).
% 49.46/6.70 fof(f6096,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1))|~spl0_13|~spl0_19|~spl0_1|~spl0_65|~spl0_31)),
% 49.46/6.70 inference(resolution,[status(thm)],[f4770,f2874])).
% 49.46/6.70 fof(f6243,plain,(
% 49.46/6.70 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2))))|~spl0_13|~spl0_19|~spl0_1|~spl0_65|~spl0_31|~spl0_73|~spl0_85)),
% 49.46/6.70 inference(resolution,[status(thm)],[f6096,f1221])).
% 49.46/6.70 fof(f8135,plain,(
% 49.46/6.70 spl0_300 <=> is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))),
% 49.46/6.70 introduced(split_symbol_definition)).
% 49.46/6.70 fof(f8136,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~spl0_300)),
% 49.46/6.70 inference(component_clause,[status(thm)],[f8135])).
% 49.46/6.70 fof(f8138,plain,(
% 49.46/6.70 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))|~spl0_13|~spl0_19|~spl0_65|~spl0_31|~spl0_73|~spl0_85|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f6243,f185])).
% 49.46/6.70 fof(f8139,plain,(
% 49.46/6.70 spl0_89|spl0_300|~spl0_13|~spl0_19|~spl0_65|~spl0_31|~spl0_73|~spl0_85|~spl0_1),
% 49.46/6.70 inference(split_clause,[status(thm)],[f8138,f596,f8135,f229,f251,f421,f295,f451,f494,f184])).
% 49.46/6.70 fof(f8217,plain,(
% 49.46/6.70 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1))|~spl0_300|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f8136,f185])).
% 49.46/6.70 fof(f8319,plain,(
% 49.46/6.70 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~spl0_300|~spl0_19|~spl0_1|~spl0_65|~spl0_31)),
% 49.46/6.70 inference(resolution,[status(thm)],[f8217,f2874])).
% 49.46/6.70 fof(f8451,plain,(
% 49.46/6.70 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)|~spl0_300|~spl0_19|~spl0_65|~spl0_31|~spl0_1)),
% 49.46/6.70 inference(resolution,[status(thm)],[f8319,f185])).
% 49.46/6.70 fof(f8464,plain,(
% 49.46/6.70 ![X0]: (is_a_theorem(or(X0,not(X0)))|~spl0_300|~spl0_19|~spl0_65|~spl0_31|~spl0_1|~spl0_70|~spl0_85)),
% 49.46/6.72 inference(resolution,[status(thm)],[f8451,f633])).
% 49.46/6.72 fof(f8533,plain,(
% 49.46/6.72 $false|~spl0_300|~spl0_31|~spl0_70|spl0_63|~spl0_19|~spl0_65|~spl0_73|~spl0_85|~spl0_1|~spl0_76),
% 49.46/6.72 inference(backward_subsumption_resolution,[status(thm)],[f1671,f8464])).
% 49.46/6.72 fof(f8534,plain,(
% 49.46/6.72 ~spl0_300|~spl0_31|~spl0_70|spl0_63|~spl0_19|~spl0_65|~spl0_73|~spl0_85|~spl0_1|~spl0_76),
% 49.46/6.72 inference(contradiction_clause,[status(thm)],[f8533])).
% 49.46/6.72 fof(f8535,plain,(
% 49.46/6.72 $false),
% 49.46/6.72 inference(sat_refutation,[status(thm)],[f187,f298,f302,f391,f395,f417,f424,f432,f443,f454,f465,f483,f497,f504,f506,f508,f510,f514,f567,f569,f571,f573,f575,f590,f715,f1238,f1762,f1896,f8139,f8534])).
% 49.46/6.72 % SZS output end CNFRefutation for theBenchmark.p
% 51.23/7.11 % Elapsed time: 6.733220 seconds
% 51.23/7.11 % CPU time: 50.562170 seconds
% 51.23/7.11 % Memory used: 680.000 MB
%------------------------------------------------------------------------------