TSTP Solution File: LCL507+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL507+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:27:20 EDT 2024
% Result : Theorem 32.45s 4.47s
% Output : CNFRefutation 32.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL507+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:48:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 32.45/4.47 % Refutation found
% 32.45/4.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 32.45/4.47 % SZS output start CNFRefutation for theBenchmark
% 32.45/4.47 fof(f1,axiom,(
% 32.45/4.47 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f2,axiom,(
% 32.45/4.47 ( substitution_of_equivalents<=> (! [X,Y] :( is_a_theorem(equiv(X,Y))=> X = Y ) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f8,axiom,(
% 32.45/4.47 ( and_2<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f16,axiom,(
% 32.45/4.47 ( kn1<=> (! [P] : is_a_theorem(implies(P,and(P,P))) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f17,axiom,(
% 32.45/4.47 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f18,axiom,(
% 32.45/4.47 ( kn3<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f21,axiom,(
% 32.45/4.47 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f24,axiom,(
% 32.45/4.47 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f27,axiom,(
% 32.45/4.47 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f29,axiom,(
% 32.45/4.47 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f31,axiom,(
% 32.45/4.47 ( op_equiv=> (! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) )) ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f32,axiom,(
% 32.45/4.47 op_or ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f33,axiom,(
% 32.45/4.47 op_implies_and ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f34,axiom,(
% 32.45/4.47 op_equiv ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f35,axiom,(
% 32.45/4.47 modus_ponens ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f36,axiom,(
% 32.45/4.47 kn1 ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f37,axiom,(
% 32.45/4.47 kn2 ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f38,axiom,(
% 32.45/4.47 kn3 ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f39,axiom,(
% 32.45/4.47 substitution_of_equivalents ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f43,conjecture,(
% 32.45/4.47 and_2 ),
% 32.45/4.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.45/4.47 fof(f44,negated_conjecture,(
% 32.45/4.47 ~(and_2 )),
% 32.45/4.47 inference(negated_conjecture,[status(cth)],[f43])).
% 32.45/4.47 fof(f45,plain,(
% 32.45/4.47 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 32.45/4.47 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 32.45/4.47 fof(f46,plain,(
% 32.45/4.47 (~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))))),
% 32.45/4.47 inference(NNF_transformation,[status(esa)],[f45])).
% 32.45/4.47 fof(f47,plain,(
% 32.45/4.47 (~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))))),
% 32.45/4.47 inference(miniscoping,[status(esa)],[f46])).
% 32.45/4.47 fof(f48,plain,(
% 32.45/4.47 (~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)))),
% 32.45/4.47 inference(skolemization,[status(esa)],[f47])).
% 32.45/4.47 fof(f49,plain,(
% 32.45/4.47 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 32.45/4.47 inference(cnf_transformation,[status(esa)],[f48])).
% 32.45/4.47 fof(f53,plain,(
% 32.45/4.47 substitution_of_equivalents<=>(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y))),
% 32.45/4.47 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 32.45/4.47 fof(f54,plain,(
% 32.45/4.47 (~substitution_of_equivalents|(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y)))&(substitution_of_equivalents|(?[X,Y]: (is_a_theorem(equiv(X,Y))&~X=Y)))),
% 32.45/4.48 inference(NNF_transformation,[status(esa)],[f53])).
% 32.45/4.48 fof(f55,plain,(
% 32.45/4.48 (~substitution_of_equivalents|(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y)))&(substitution_of_equivalents|(is_a_theorem(equiv(sk0_2,sk0_3))&~sk0_2=sk0_3))),
% 32.45/4.48 inference(skolemization,[status(esa)],[f54])).
% 32.45/4.48 fof(f56,plain,(
% 32.45/4.48 ![X0,X1]: (~substitution_of_equivalents|~is_a_theorem(equiv(X0,X1))|X0=X1)),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f55])).
% 32.45/4.48 fof(f79,plain,(
% 32.45/4.48 (~and_2|(![X,Y]: is_a_theorem(implies(and(X,Y),Y))))&(and_2|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),Y))))),
% 32.45/4.48 inference(NNF_transformation,[status(esa)],[f8])).
% 32.45/4.48 fof(f80,plain,(
% 32.45/4.48 (~and_2|(![X,Y]: is_a_theorem(implies(and(X,Y),Y))))&(and_2|~is_a_theorem(implies(and(sk0_15,sk0_16),sk0_16)))),
% 32.45/4.48 inference(skolemization,[status(esa)],[f79])).
% 32.45/4.48 fof(f82,plain,(
% 32.45/4.48 and_2|~is_a_theorem(implies(and(sk0_15,sk0_16),sk0_16))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f80])).
% 32.45/4.48 fof(f111,plain,(
% 32.45/4.48 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|(?[P]: ~is_a_theorem(implies(P,and(P,P)))))),
% 32.45/4.48 inference(NNF_transformation,[status(esa)],[f16])).
% 32.45/4.48 fof(f112,plain,(
% 32.45/4.48 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|~is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32))))),
% 32.45/4.48 inference(skolemization,[status(esa)],[f111])).
% 32.45/4.48 fof(f113,plain,(
% 32.45/4.48 ![X0]: (~kn1|is_a_theorem(implies(X0,and(X0,X0))))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f112])).
% 32.45/4.48 fof(f115,plain,(
% 32.45/4.48 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 32.45/4.48 inference(NNF_transformation,[status(esa)],[f17])).
% 32.45/4.48 fof(f116,plain,(
% 32.45/4.48 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 32.45/4.48 inference(skolemization,[status(esa)],[f115])).
% 32.45/4.48 fof(f117,plain,(
% 32.45/4.48 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f116])).
% 32.45/4.48 fof(f119,plain,(
% 32.45/4.48 (~kn3|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))&(kn3|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))),
% 32.45/4.48 inference(NNF_transformation,[status(esa)],[f18])).
% 32.45/4.48 fof(f120,plain,(
% 32.45/4.48 (~kn3|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))&(kn3|~is_a_theorem(implies(implies(sk0_35,sk0_36),implies(not(and(sk0_36,sk0_37)),not(and(sk0_37,sk0_35))))))),
% 32.45/4.48 inference(skolemization,[status(esa)],[f119])).
% 32.45/4.48 fof(f121,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~kn3|is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f120])).
% 32.45/4.48 fof(f131,plain,(
% 32.45/4.48 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 32.45/4.48 inference(NNF_transformation,[status(esa)],[f21])).
% 32.45/4.48 fof(f132,plain,(
% 32.45/4.48 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43)))),
% 32.45/4.48 inference(skolemization,[status(esa)],[f131])).
% 32.45/4.48 fof(f133,plain,(
% 32.45/4.48 ![X0]: (~cn3|is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f132])).
% 32.45/4.48 fof(f134,plain,(
% 32.45/4.48 cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f132])).
% 32.45/4.48 fof(f143,plain,(
% 32.45/4.48 (~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)))))),
% 32.45/4.48 inference(NNF_transformation,[status(esa)],[f24])).
% 32.45/4.48 fof(f144,plain,(
% 32.45/4.48 (~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))))),
% 32.45/4.48 inference(skolemization,[status(esa)],[f143])).
% 32.45/4.48 fof(f145,plain,(
% 32.45/4.48 ![X0,X1]: (~r3|is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f144])).
% 32.45/4.48 fof(f146,plain,(
% 32.45/4.48 r3|~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f144])).
% 32.45/4.48 fof(f155,plain,(
% 32.45/4.48 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 32.45/4.48 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 32.45/4.48 fof(f156,plain,(
% 32.45/4.48 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f155])).
% 32.45/4.48 fof(f159,plain,(
% 32.45/4.48 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 32.45/4.48 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 32.45/4.48 fof(f160,plain,(
% 32.45/4.48 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f159])).
% 32.45/4.48 fof(f163,plain,(
% 32.45/4.48 ~op_equiv|(![X,Y]: equiv(X,Y)=and(implies(X,Y),implies(Y,X)))),
% 32.45/4.48 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 32.45/4.48 fof(f164,plain,(
% 32.45/4.48 ![X0,X1]: (~op_equiv|equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f163])).
% 32.45/4.48 fof(f165,plain,(
% 32.45/4.48 op_or),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f32])).
% 32.45/4.48 fof(f166,plain,(
% 32.45/4.48 op_implies_and),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f33])).
% 32.45/4.48 fof(f167,plain,(
% 32.45/4.48 op_equiv),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f34])).
% 32.45/4.48 fof(f168,plain,(
% 32.45/4.48 modus_ponens),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f35])).
% 32.45/4.48 fof(f169,plain,(
% 32.45/4.48 kn1),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f36])).
% 32.45/4.48 fof(f170,plain,(
% 32.45/4.48 kn2),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f37])).
% 32.45/4.48 fof(f171,plain,(
% 32.45/4.48 kn3),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f38])).
% 32.45/4.48 fof(f172,plain,(
% 32.45/4.48 substitution_of_equivalents),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f39])).
% 32.45/4.48 fof(f176,plain,(
% 32.45/4.48 ~and_2),
% 32.45/4.48 inference(cnf_transformation,[status(esa)],[f44])).
% 32.45/4.48 fof(f177,plain,(
% 32.45/4.48 spl0_0 <=> modus_ponens),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f179,plain,(
% 32.45/4.48 ~modus_ponens|spl0_0),
% 32.45/4.48 inference(component_clause,[status(thm)],[f177])).
% 32.45/4.48 fof(f180,plain,(
% 32.45/4.48 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f181,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f180])).
% 32.45/4.48 fof(f183,plain,(
% 32.45/4.48 ~spl0_0|spl0_1),
% 32.45/4.48 inference(split_clause,[status(thm)],[f49,f177,f180])).
% 32.45/4.48 fof(f196,plain,(
% 32.45/4.48 spl0_5 <=> substitution_of_equivalents),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f198,plain,(
% 32.45/4.48 ~substitution_of_equivalents|spl0_5),
% 32.45/4.48 inference(component_clause,[status(thm)],[f196])).
% 32.45/4.48 fof(f199,plain,(
% 32.45/4.48 spl0_6 <=> ~is_a_theorem(equiv(X0,X1))|X0=X1),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f200,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(equiv(X0,X1))|X0=X1|~spl0_6)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f199])).
% 32.45/4.48 fof(f202,plain,(
% 32.45/4.48 ~spl0_5|spl0_6),
% 32.45/4.48 inference(split_clause,[status(thm)],[f56,f196,f199])).
% 32.45/4.48 fof(f258,plain,(
% 32.45/4.48 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f259,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f258])).
% 32.45/4.48 fof(f266,plain,(
% 32.45/4.48 spl0_24 <=> and_2),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f267,plain,(
% 32.45/4.48 and_2|~spl0_24),
% 32.45/4.48 inference(component_clause,[status(thm)],[f266])).
% 32.45/4.48 fof(f273,plain,(
% 32.45/4.48 spl0_26 <=> is_a_theorem(implies(and(sk0_15,sk0_16),sk0_16))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f275,plain,(
% 32.45/4.48 ~is_a_theorem(implies(and(sk0_15,sk0_16),sk0_16))|spl0_26),
% 32.45/4.48 inference(component_clause,[status(thm)],[f273])).
% 32.45/4.48 fof(f276,plain,(
% 32.45/4.48 spl0_24|~spl0_26),
% 32.45/4.48 inference(split_clause,[status(thm)],[f82,f266,f273])).
% 32.45/4.48 fof(f302,plain,(
% 32.45/4.48 spl0_34 <=> is_a_theorem(implies(X0,or(X1,X0)))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f303,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0)))|~spl0_34)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f302])).
% 32.45/4.48 fof(f354,plain,(
% 32.45/4.48 spl0_48 <=> kn1),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f356,plain,(
% 32.45/4.48 ~kn1|spl0_48),
% 32.45/4.48 inference(component_clause,[status(thm)],[f354])).
% 32.45/4.48 fof(f357,plain,(
% 32.45/4.48 spl0_49 <=> is_a_theorem(implies(X0,and(X0,X0)))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f358,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(implies(X0,and(X0,X0)))|~spl0_49)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f357])).
% 32.45/4.48 fof(f360,plain,(
% 32.45/4.48 ~spl0_48|spl0_49),
% 32.45/4.48 inference(split_clause,[status(thm)],[f113,f354,f357])).
% 32.45/4.48 fof(f365,plain,(
% 32.45/4.48 spl0_51 <=> kn2),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f367,plain,(
% 32.45/4.48 ~kn2|spl0_51),
% 32.45/4.48 inference(component_clause,[status(thm)],[f365])).
% 32.45/4.48 fof(f368,plain,(
% 32.45/4.48 ~spl0_51|spl0_22),
% 32.45/4.48 inference(split_clause,[status(thm)],[f117,f365,f258])).
% 32.45/4.48 fof(f373,plain,(
% 32.45/4.48 spl0_53 <=> kn3),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f375,plain,(
% 32.45/4.48 ~kn3|spl0_53),
% 32.45/4.48 inference(component_clause,[status(thm)],[f373])).
% 32.45/4.48 fof(f376,plain,(
% 32.45/4.48 spl0_54 <=> is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f377,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))|~spl0_54)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f376])).
% 32.45/4.48 fof(f379,plain,(
% 32.45/4.48 ~spl0_53|spl0_54),
% 32.45/4.48 inference(split_clause,[status(thm)],[f121,f373,f376])).
% 32.45/4.48 fof(f395,plain,(
% 32.45/4.48 spl0_59 <=> is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f396,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_59)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f395])).
% 32.45/4.48 fof(f403,plain,(
% 32.45/4.48 spl0_61 <=> cn3),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f406,plain,(
% 32.45/4.48 spl0_62 <=> is_a_theorem(implies(implies(not(X0),X0),X0))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f407,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0))|~spl0_62)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f406])).
% 32.45/4.48 fof(f409,plain,(
% 32.45/4.48 ~spl0_61|spl0_62),
% 32.45/4.48 inference(split_clause,[status(thm)],[f133,f403,f406])).
% 32.45/4.48 fof(f410,plain,(
% 32.45/4.48 spl0_63 <=> is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f412,plain,(
% 32.45/4.48 ~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))|spl0_63),
% 32.45/4.48 inference(component_clause,[status(thm)],[f410])).
% 32.45/4.48 fof(f413,plain,(
% 32.45/4.48 spl0_61|~spl0_63),
% 32.45/4.48 inference(split_clause,[status(thm)],[f134,f403,f410])).
% 32.45/4.48 fof(f433,plain,(
% 32.45/4.48 spl0_69 <=> r3),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f436,plain,(
% 32.45/4.48 spl0_70 <=> is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f437,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0)))|~spl0_70)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f436])).
% 32.45/4.48 fof(f439,plain,(
% 32.45/4.48 ~spl0_69|spl0_70),
% 32.45/4.48 inference(split_clause,[status(thm)],[f145,f433,f436])).
% 32.45/4.48 fof(f440,plain,(
% 32.45/4.48 spl0_71 <=> is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f442,plain,(
% 32.45/4.48 ~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))|spl0_71),
% 32.45/4.48 inference(component_clause,[status(thm)],[f440])).
% 32.45/4.48 fof(f443,plain,(
% 32.45/4.48 spl0_69|~spl0_71),
% 32.45/4.48 inference(split_clause,[status(thm)],[f146,f433,f440])).
% 32.45/4.48 fof(f466,plain,(
% 32.45/4.48 spl0_78 <=> op_or),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f468,plain,(
% 32.45/4.48 ~op_or|spl0_78),
% 32.45/4.48 inference(component_clause,[status(thm)],[f466])).
% 32.45/4.48 fof(f469,plain,(
% 32.45/4.48 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f470,plain,(
% 32.45/4.48 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f469])).
% 32.45/4.48 fof(f472,plain,(
% 32.45/4.48 ~spl0_78|spl0_79),
% 32.45/4.48 inference(split_clause,[status(thm)],[f156,f466,f469])).
% 32.45/4.48 fof(f480,plain,(
% 32.45/4.48 spl0_82 <=> op_implies_and),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f482,plain,(
% 32.45/4.48 ~op_implies_and|spl0_82),
% 32.45/4.48 inference(component_clause,[status(thm)],[f480])).
% 32.45/4.48 fof(f483,plain,(
% 32.45/4.48 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f484,plain,(
% 32.45/4.48 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f483])).
% 32.45/4.48 fof(f486,plain,(
% 32.45/4.48 ~spl0_82|spl0_83),
% 32.45/4.48 inference(split_clause,[status(thm)],[f160,f480,f483])).
% 32.45/4.48 fof(f494,plain,(
% 32.45/4.48 spl0_86 <=> op_equiv),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f496,plain,(
% 32.45/4.48 ~op_equiv|spl0_86),
% 32.45/4.48 inference(component_clause,[status(thm)],[f494])).
% 32.45/4.48 fof(f497,plain,(
% 32.45/4.48 spl0_87 <=> equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))),
% 32.45/4.48 introduced(split_symbol_definition)).
% 32.45/4.48 fof(f498,plain,(
% 32.45/4.48 ![X0,X1]: (equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))|~spl0_87)),
% 32.45/4.48 inference(component_clause,[status(thm)],[f497])).
% 32.45/4.48 fof(f500,plain,(
% 32.45/4.48 ~spl0_86|spl0_87),
% 32.45/4.48 inference(split_clause,[status(thm)],[f164,f494,f497])).
% 32.45/4.48 fof(f501,plain,(
% 32.45/4.48 $false|spl0_86),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f496,f167])).
% 32.45/4.48 fof(f502,plain,(
% 32.45/4.48 spl0_86),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f501])).
% 32.45/4.48 fof(f503,plain,(
% 32.45/4.48 $false|spl0_0),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f179,f168])).
% 32.45/4.48 fof(f504,plain,(
% 32.45/4.48 spl0_0),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f503])).
% 32.45/4.48 fof(f505,plain,(
% 32.45/4.48 $false|spl0_5),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f198,f172])).
% 32.45/4.48 fof(f506,plain,(
% 32.45/4.48 spl0_5),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f505])).
% 32.45/4.48 fof(f507,plain,(
% 32.45/4.48 $false|spl0_82),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f482,f166])).
% 32.45/4.48 fof(f508,plain,(
% 32.45/4.48 spl0_82),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f507])).
% 32.45/4.48 fof(f509,plain,(
% 32.45/4.48 $false|spl0_78),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f468,f165])).
% 32.45/4.48 fof(f510,plain,(
% 32.45/4.48 spl0_78),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f509])).
% 32.45/4.48 fof(f517,plain,(
% 32.45/4.48 $false|spl0_51),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f367,f170])).
% 32.45/4.48 fof(f518,plain,(
% 32.45/4.48 spl0_51),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f517])).
% 32.45/4.48 fof(f521,plain,(
% 32.45/4.48 $false|spl0_48),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f356,f169])).
% 32.45/4.48 fof(f522,plain,(
% 32.45/4.48 spl0_48),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f521])).
% 32.45/4.48 fof(f544,plain,(
% 32.45/4.48 ![X0,X1,X2]: (implies(X0,and(X1,not(X2)))=not(and(X0,implies(X1,X2)))|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f484,f484])).
% 32.45/4.48 fof(f568,plain,(
% 32.45/4.48 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f484,f470])).
% 32.45/4.48 fof(f570,plain,(
% 32.45/4.48 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2)|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f484,f568])).
% 32.45/4.48 fof(f571,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(or(X0,and(not(X0),not(X0))))|~spl0_49|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f568,f358])).
% 32.45/4.48 fof(f575,plain,(
% 32.45/4.48 ![X0,X1]: (equiv(X0,not(X1))=and(implies(X0,not(X1)),or(X1,X0))|~spl0_87|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f568,f498])).
% 32.45/4.48 fof(f577,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(not(X0))|~is_a_theorem(or(X0,X1))|is_a_theorem(X1)|~spl0_1|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f568,f181])).
% 32.45/4.48 fof(f582,plain,(
% 32.45/4.48 ~is_a_theorem(implies(or(sk0_43,sk0_43),sk0_43))|~spl0_83|~spl0_79|spl0_63),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f412])).
% 32.45/4.48 fof(f640,plain,(
% 32.45/4.48 ![X0,X1,X2]: (implies(X0,and(not(X1),not(X2)))=not(and(X0,or(X1,X2)))|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f568,f544])).
% 32.45/4.48 fof(f726,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))))|~spl0_83|~spl0_79|~spl0_54)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f377])).
% 32.45/4.48 fof(f727,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(and(X1,X2),not(and(X2,X0))))|~spl0_83|~spl0_79|~spl0_54|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f726,f181])).
% 32.45/4.48 fof(f728,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(and(X1,X2),not(and(X2,not(X0))))))|~spl0_54|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f568,f726])).
% 32.45/4.48 fof(f729,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0))))|~spl0_54|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f484,f728])).
% 32.45/4.48 fof(f730,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),not(and(not(X2),X0)))))|~spl0_54|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f570,f726])).
% 32.45/4.48 fof(f819,plain,(
% 32.45/4.48 $false|spl0_53),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f375,f171])).
% 32.45/4.48 fof(f820,plain,(
% 32.45/4.48 spl0_53),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f819])).
% 32.45/4.48 fof(f831,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(or(and(X1,X2),implies(X2,X0)))|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f729,f181])).
% 32.45/4.48 fof(f833,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X2),X0))))|~spl0_54|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f570,f729])).
% 32.45/4.48 fof(f834,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X2,X0))))|~spl0_54|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f833])).
% 32.45/4.48 fof(f845,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(implies(implies(X1,X2),or(X2,X0)))|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f834,f181])).
% 32.45/4.48 fof(f852,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(implies(and(not(X0),not(X0)),X1),or(X1,X0)))|~spl0_54|~spl0_1|~spl0_49|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(resolution,[status(thm)],[f845,f571])).
% 32.45/4.48 fof(f872,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(and(not(X0),not(X0)),X1))|is_a_theorem(or(X1,X0))|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f852,f181])).
% 32.45/4.48 fof(f884,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(or(not(X0),X0))|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f872,f259])).
% 32.45/4.48 fof(f894,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),or(X1,not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f884,f845])).
% 32.45/4.48 fof(f895,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(or(and(X0,X1),implies(X1,not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f884,f831])).
% 32.45/4.48 fof(f898,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(X1,not(X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f894,f181])).
% 32.45/4.48 fof(f902,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,not(not(X0)))))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f568,f894])).
% 32.45/4.48 fof(f926,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X2),or(X2,X1)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f898,f845])).
% 32.45/4.48 fof(f927,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(or(X0,X2),or(X2,X1)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f926])).
% 32.45/4.48 fof(f932,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(or(X0,X1))|is_a_theorem(or(X1,not(not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f902,f181])).
% 32.45/4.48 fof(f957,plain,(
% 32.45/4.48 ~is_a_theorem(implies(sk0_47,sk0_47))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1|spl0_71),
% 32.45/4.48 inference(resolution,[status(thm)],[f927,f442])).
% 32.45/4.48 fof(f960,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(or(X0,X2))|is_a_theorem(or(X2,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f927,f181])).
% 32.45/4.48 fof(f1006,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(not(and(not(X0),or(X0,X0))))|~spl0_49|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f640,f358])).
% 32.45/4.48 fof(f1052,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(or(and(not(X0),or(X0,X0)),X1))|is_a_theorem(X1)|~spl0_49|~spl0_1|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1006,f577])).
% 32.45/4.48 fof(f1150,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(not(and(or(X1,X1),X0)))|~spl0_54|~spl0_49|~spl0_1|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(resolution,[status(thm)],[f727,f1052])).
% 32.45/4.48 fof(f1169,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(or(X1,X1),X0))|~spl0_54|~spl0_49|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f484,f1150])).
% 32.45/4.48 fof(f1170,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(or(X0,not(X1)))|is_a_theorem(implies(or(X1,X1),X0))|~spl0_54|~spl0_49|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f1169])).
% 32.45/4.48 fof(f1176,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(or(not(X0),not(X0)),X1))|~is_a_theorem(or(X0,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1170,f932])).
% 32.45/4.48 fof(f1177,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(or(X0,X0),X1))|~is_a_theorem(implies(X0,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1170,f898])).
% 32.45/4.48 fof(f1183,plain,(
% 32.45/4.48 ~is_a_theorem(implies(sk0_43,sk0_43))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 32.45/4.48 inference(resolution,[status(thm)],[f1177,f582])).
% 32.45/4.48 fof(f1208,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(implies(or(not(not(X0)),not(not(X0))),X0))|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1176,f884])).
% 32.45/4.48 fof(f1221,plain,(
% 32.45/4.48 ![X0]: (~is_a_theorem(or(not(not(X0)),not(not(X0))))|is_a_theorem(X0)|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_22|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1208,f181])).
% 32.45/4.48 fof(f1235,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(X0)|~is_a_theorem(or(X0,not(not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1221,f932])).
% 32.45/4.48 fof(f1280,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(X0)|~is_a_theorem(or(X0,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1235,f932])).
% 32.45/4.48 fof(f1283,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(implies(X1,not(not(X0))))|~is_a_theorem(or(X1,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1235,f960])).
% 32.45/4.48 fof(f1291,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(implies(X1,X0))|~is_a_theorem(or(X1,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1280,f960])).
% 32.45/4.48 fof(f1350,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(or(and(not(not(X0)),X1),X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1283,f259])).
% 32.45/4.48 fof(f1362,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|~spl0_49|~spl0_54|~spl0_1|~spl0_22|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f570,f1350])).
% 32.45/4.48 fof(f1363,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(implies(or(not(X0),X1),X0))|~spl0_49|~spl0_54|~spl0_1|~spl0_22|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f1362])).
% 32.45/4.48 fof(f1366,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(or(X0,X1))|~is_a_theorem(implies(not(or(X0,X1)),X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1363,f927])).
% 32.45/4.48 fof(f1367,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(or(X0,X1))|~is_a_theorem(or(or(X0,X1),X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f1366])).
% 32.45/4.48 fof(f1618,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(or(X0,not(and(X0,X1))))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f898,f259])).
% 32.45/4.48 fof(f1631,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(or(X0,implies(X0,X1)))|~spl0_49|~spl0_54|~spl0_79|~spl0_1|~spl0_22|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f484,f1618])).
% 32.45/4.48 fof(f1636,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1631,f831])).
% 32.45/4.48 fof(f1708,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(or(and(X0,X1),X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1291,f259])).
% 32.45/4.48 fof(f1751,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1636,f1708])).
% 32.45/4.48 fof(f1753,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X2),X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f570,f1636])).
% 32.45/4.48 fof(f1754,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f1753])).
% 32.45/4.48 fof(f1767,plain,(
% 32.45/4.48 $false|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1|spl0_71),
% 32.45/4.48 inference(backward_subsumption_resolution,[status(thm)],[f957,f1751])).
% 32.45/4.48 fof(f1768,plain,(
% 32.45/4.48 ~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1|spl0_71),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f1767])).
% 32.45/4.48 fof(f1769,plain,(
% 32.45/4.48 $false|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 32.45/4.48 inference(backward_subsumption_resolution,[status(thm)],[f1183,f1751])).
% 32.45/4.48 fof(f1770,plain,(
% 32.45/4.48 ~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f1769])).
% 32.45/4.48 fof(f1779,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(implies(or(X0,X0),X0))|~spl0_83|~spl0_79|~spl0_62)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f407])).
% 32.45/4.48 fof(f1843,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(or(X0,X1))|is_a_theorem(or(X1,X0))|~spl0_70|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f437,f181])).
% 32.45/4.48 fof(f1847,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(or(X0,or(X1,X0)))|is_a_theorem(or(X1,X0))|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1843,f1367])).
% 32.45/4.48 fof(f1932,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(or(X2,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1754,f181])).
% 32.45/4.48 fof(f1973,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(or(or(X0,X1),implies(X1,X2)))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1932,f1754])).
% 32.45/4.48 fof(f1978,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(or(implies(X0,X1),X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1932,f1751])).
% 32.45/4.48 fof(f1992,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(or(and(X0,X1),implies(X1,implies(X0,X2))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1978,f831])).
% 32.45/4.48 fof(f2181,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2))))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f570,f1992])).
% 32.45/4.48 fof(f2182,plain,(
% 32.45/4.48 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(X1,implies(X0,X2))))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f2181])).
% 32.45/4.48 fof(f2610,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(X1,implies(X0,X2)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f2182,f181])).
% 32.45/4.48 fof(f2871,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f2610,f1280])).
% 32.45/4.48 fof(f3518,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(implies(implies(X0,X0),not(and(not(X0),X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f730,f2871])).
% 32.45/4.48 fof(f4088,plain,(
% 32.45/4.48 ![X0]: (~is_a_theorem(implies(X0,X0))|is_a_theorem(not(and(not(X0),X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f3518,f181])).
% 32.45/4.48 fof(f4089,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(not(and(not(X0),X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f4088,f1751])).
% 32.45/4.48 fof(f4108,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(or(and(not(X0),X0),X1))|is_a_theorem(X1)|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(resolution,[status(thm)],[f4089,f577])).
% 32.45/4.48 fof(f4137,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f4108,f1992])).
% 32.45/4.48 fof(f4138,plain,(
% 32.45/4.48 spl0_59|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1),
% 32.45/4.48 inference(split_clause,[status(thm)],[f4137,f395,f357,f258,f376,f483,f469,f180])).
% 32.45/4.48 fof(f4140,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f4108,f895])).
% 32.45/4.48 fof(f4162,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X0),X1))|is_a_theorem(X1)|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f570,f4108])).
% 32.45/4.48 fof(f4163,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(or(not(X0),X0),X1))|is_a_theorem(X1)|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f4162])).
% 32.45/4.48 fof(f4166,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~spl0_83|~spl0_79|~spl0_59)),
% 32.45/4.48 inference(forward_demodulation,[status(thm)],[f568,f396])).
% 32.45/4.48 fof(f4175,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(or(X0,X1))|~spl0_83|~spl0_79|~spl0_59|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f4166,f181])).
% 32.45/4.48 fof(f4204,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(or(X1,X0))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f4175,f1847])).
% 32.45/4.48 fof(f4257,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(or(X1,X0),X2))|is_a_theorem(X2)|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f4204,f181])).
% 32.45/4.48 fof(f4268,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(implies(implies(or(X0,X0),X0),X1))|is_a_theorem(X1)|~spl0_83|~spl0_79|~spl0_62|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f1779,f181])).
% 32.45/4.48 fof(f8677,plain,(
% 32.45/4.48 $false|~spl0_24),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f267,f176])).
% 32.45/4.48 fof(f8678,plain,(
% 32.45/4.48 ~spl0_24),
% 32.45/4.48 inference(contradiction_clause,[status(thm)],[f8677])).
% 32.45/4.48 fof(f9504,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(or(and(X0,X1),implies(X1,X2)))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_1|~spl0_54|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(resolution,[status(thm)],[f4257,f729])).
% 32.45/4.48 fof(f10725,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(or(X0,implies(X1,X0)))|is_a_theorem(implies(X1,X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 32.45/4.48 inference(resolution,[status(thm)],[f831,f1708])).
% 32.45/4.48 fof(f13812,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(X0,and(X1,X0)))|~is_a_theorem(X1)|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_1|~spl0_54|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(resolution,[status(thm)],[f10725,f9504])).
% 32.45/4.48 fof(f13832,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(resolution,[status(thm)],[f10725,f1973])).
% 32.45/4.48 fof(f13833,plain,(
% 32.45/4.48 spl0_34|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83),
% 32.45/4.48 inference(split_clause,[status(thm)],[f13832,f302,f357,f258,f376,f180,f469,f483])).
% 32.45/4.48 fof(f13893,plain,(
% 32.45/4.48 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,or(X1,X0)),X2))|is_a_theorem(X2)|~spl0_34|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f303,f181])).
% 32.45/4.48 fof(f13946,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(and(X0,implies(or(X1,X1),X1)))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f13812,f4268])).
% 32.45/4.48 fof(f13955,plain,(
% 32.45/4.48 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(and(X0,or(not(X1),X1)))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 32.45/4.48 inference(resolution,[status(thm)],[f13812,f4163])).
% 32.45/4.48 fof(f14041,plain,(
% 32.45/4.48 ![X0,X1]: (is_a_theorem(or(or(X0,X1),not(X1)))|~spl0_34|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 32.45/4.48 inference(resolution,[status(thm)],[f13893,f894])).
% 32.45/4.48 fof(f14791,plain,(
% 32.45/4.48 ![X0]: (~is_a_theorem(implies(X0,not(not(X0))))|is_a_theorem(equiv(X0,not(not(X0))))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(paramodulation,[status(thm)],[f575,f13955])).
% 32.45/4.48 fof(f14792,plain,(
% 32.45/4.48 ![X0]: (is_a_theorem(equiv(X0,not(not(X0))))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_83|~spl0_79)),
% 32.45/4.48 inference(forward_subsumption_resolution,[status(thm)],[f14791,f4140])).
% 32.45/4.48 fof(f14798,plain,(
% 32.45/4.48 ![X0]: (X0=not(not(X0))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 32.45/4.48 inference(resolution,[status(thm)],[f14792,f200])).
% 32.45/4.48 fof(f15089,plain,(
% 32.45/4.48 ![X0,X1]: (or(not(X0),X1)=implies(X0,X1)|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 32.75/4.53 inference(paramodulation,[status(thm)],[f14798,f568])).
% 32.75/4.53 fof(f15299,plain,(
% 32.75/4.53 ![X0,X1]: (is_a_theorem(or(implies(X0,X1),not(X1)))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 32.75/4.53 inference(paramodulation,[status(thm)],[f15089,f14041])).
% 32.75/4.53 fof(f15669,plain,(
% 32.75/4.53 ![X0,X1,X2]: (is_a_theorem(or(not(and(X0,or(X1,X2))),not(and(not(X1),not(X2)))))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_6|~spl0_83|~spl0_79)),
% 32.75/4.53 inference(paramodulation,[status(thm)],[f640,f15299])).
% 32.75/4.53 fof(f15670,plain,(
% 32.75/4.53 ![X0,X1,X2]: (is_a_theorem(implies(and(X0,or(X1,X2)),not(and(not(X1),not(X2)))))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_6|~spl0_83|~spl0_79)),
% 32.75/4.53 inference(forward_demodulation,[status(thm)],[f15089,f15669])).
% 32.75/4.53 fof(f15671,plain,(
% 32.75/4.53 ![X0,X1,X2]: (is_a_theorem(implies(and(X0,or(X1,X2)),implies(not(X1),X2)))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_6|~spl0_83|~spl0_79)),
% 32.75/4.53 inference(forward_demodulation,[status(thm)],[f484,f15670])).
% 32.75/4.53 fof(f15672,plain,(
% 32.75/4.53 ![X0,X1,X2]: (is_a_theorem(implies(and(X0,or(X1,X2)),or(X1,X2)))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_87|~spl0_6|~spl0_83|~spl0_79)),
% 32.75/4.53 inference(forward_demodulation,[status(thm)],[f568,f15671])).
% 32.75/4.53 fof(f23387,plain,(
% 32.75/4.53 ![X0]: (~is_a_theorem(implies(X0,or(X0,X0)))|is_a_theorem(equiv(X0,or(X0,X0)))|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1|~spl0_87)),
% 32.75/4.53 inference(paramodulation,[status(thm)],[f498,f13946])).
% 32.75/4.53 fof(f23388,plain,(
% 32.75/4.53 ![X0]: (is_a_theorem(equiv(X0,or(X0,X0)))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1|~spl0_87)),
% 32.75/4.53 inference(forward_subsumption_resolution,[status(thm)],[f23387,f303])).
% 32.75/4.53 fof(f23398,plain,(
% 32.75/4.53 ![X0]: (X0=or(X0,X0)|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1|~spl0_87|~spl0_6)),
% 32.75/4.53 inference(resolution,[status(thm)],[f23388,f200])).
% 32.75/4.53 fof(f29788,plain,(
% 32.75/4.53 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),or(X1,X1)))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1|~spl0_87|~spl0_6)),
% 32.75/4.53 inference(paramodulation,[status(thm)],[f23398,f15672])).
% 32.75/4.53 fof(f29789,plain,(
% 32.75/4.53 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X1))|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1|~spl0_87|~spl0_6)),
% 32.75/4.53 inference(forward_demodulation,[status(thm)],[f23398,f29788])).
% 32.75/4.53 fof(f29796,plain,(
% 32.75/4.53 $false|~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1|~spl0_87|~spl0_6|spl0_26),
% 32.75/4.53 inference(backward_subsumption_resolution,[status(thm)],[f275,f29789])).
% 32.75/4.53 fof(f29797,plain,(
% 32.75/4.53 ~spl0_34|~spl0_59|~spl0_70|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_62|~spl0_1|~spl0_87|~spl0_6|spl0_26),
% 32.75/4.53 inference(contradiction_clause,[status(thm)],[f29796])).
% 32.75/4.53 fof(f29798,plain,(
% 32.75/4.53 $false),
% 32.75/4.53 inference(sat_refutation,[status(thm)],[f183,f202,f276,f360,f368,f379,f409,f413,f439,f443,f472,f486,f500,f502,f504,f506,f508,f510,f518,f522,f820,f1768,f1770,f4138,f8678,f13833,f29797])).
% 32.75/4.53 % SZS output end CNFRefutation for theBenchmark.p
% 32.98/4.60 % Elapsed time: 4.236913 seconds
% 32.98/4.60 % CPU time: 32.951227 seconds
% 32.98/4.60 % Total memory used: 489.921 MB
% 32.98/4.60 % Net memory used: 476.339 MB
%------------------------------------------------------------------------------