TSTP Solution File: LCL528+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL528+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:27:23 EDT 2024
% Result : Theorem 2.62s 0.72s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL528+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:31:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 2.62/0.72 % Refutation found
% 2.62/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.62/0.72 % SZS output start CNFRefutation for theBenchmark
% 2.62/0.72 fof(f1,axiom,(
% 2.62/0.72 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f2,axiom,(
% 2.62/0.72 ( substitution_of_equivalents<=> (! [X,Y] :( is_a_theorem(equiv(X,Y))=> X = Y ) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f3,axiom,(
% 2.62/0.72 ( modus_tollens<=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f4,axiom,(
% 2.62/0.72 ( implies_1<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f5,axiom,(
% 2.62/0.72 ( implies_2<=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f6,axiom,(
% 2.62/0.72 ( implies_3<=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f7,axiom,(
% 2.62/0.72 ( and_1<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f8,axiom,(
% 2.62/0.72 ( and_2<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f9,axiom,(
% 2.62/0.72 ( and_3<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f10,axiom,(
% 2.62/0.72 ( or_1<=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f11,axiom,(
% 2.62/0.72 ( or_2<=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f12,axiom,(
% 2.62/0.72 ( or_3<=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f13,axiom,(
% 2.62/0.72 ( equivalence_1<=> (! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f14,axiom,(
% 2.62/0.72 ( equivalence_2<=> (! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f16,axiom,(
% 2.62/0.72 ( kn1<=> (! [P] : is_a_theorem(implies(P,and(P,P))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f17,axiom,(
% 2.62/0.72 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f19,axiom,(
% 2.62/0.72 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f20,axiom,(
% 2.62/0.72 ( cn2<=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f21,axiom,(
% 2.62/0.72 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f22,axiom,(
% 2.62/0.72 ( r1<=> (! [P] : is_a_theorem(implies(or(P,P),P)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f23,axiom,(
% 2.62/0.72 ( r2<=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f24,axiom,(
% 2.62/0.72 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f27,axiom,(
% 2.62/0.72 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f29,axiom,(
% 2.62/0.72 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f31,axiom,(
% 2.62/0.72 ( op_equiv=> (! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f32,axiom,(
% 2.62/0.72 op_or ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f33,axiom,(
% 2.62/0.72 op_implies_and ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f34,axiom,(
% 2.62/0.72 op_equiv ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f35,axiom,(
% 2.62/0.72 modus_ponens ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f36,axiom,(
% 2.62/0.72 modus_tollens ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f37,axiom,(
% 2.62/0.72 implies_1 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f38,axiom,(
% 2.62/0.72 implies_2 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f39,axiom,(
% 2.62/0.72 implies_3 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f40,axiom,(
% 2.62/0.72 and_1 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f41,axiom,(
% 2.62/0.72 and_2 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f42,axiom,(
% 2.62/0.72 and_3 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f43,axiom,(
% 2.62/0.72 or_1 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f44,axiom,(
% 2.62/0.72 or_2 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f45,axiom,(
% 2.62/0.72 or_3 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f48,axiom,(
% 2.62/0.72 equivalence_3 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f49,axiom,(
% 2.62/0.72 substitution_of_equivalents ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f50,axiom,(
% 2.62/0.72 ( necessitation<=> (! [X] :( is_a_theorem(X)=> is_a_theorem(necessarily(X)) ) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f51,axiom,(
% 2.62/0.72 ( modus_ponens_strict_implies<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(strict_implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f52,axiom,(
% 2.62/0.72 ( adjunction<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(Y) )=> is_a_theorem(and(X,Y)) ) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f53,axiom,(
% 2.62/0.72 ( substitution_strict_equiv<=> (! [X,Y] :( is_a_theorem(strict_equiv(X,Y))=> X = Y ) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f54,axiom,(
% 2.62/0.72 ( axiom_K<=> (! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f55,axiom,(
% 2.62/0.72 ( axiom_M<=> (! [X] : is_a_theorem(implies(necessarily(X),X)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f58,axiom,(
% 2.62/0.72 ( axiom_5<=> (! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f59,axiom,(
% 2.62/0.72 ( axiom_s1<=> (! [X,Y,Z] : is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f61,axiom,(
% 2.62/0.72 ( axiom_s3<=> (! [X,Y] : is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X))))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f63,axiom,(
% 2.62/0.72 ( axiom_m1<=> (! [X,Y] : is_a_theorem(strict_implies(and(X,Y),and(Y,X))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f64,axiom,(
% 2.62/0.72 ( axiom_m2<=> (! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f65,axiom,(
% 2.62/0.72 ( axiom_m3<=> (! [X,Y,Z] : is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f66,axiom,(
% 2.62/0.72 ( axiom_m4<=> (! [X] : is_a_theorem(strict_implies(X,and(X,X))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f67,axiom,(
% 2.62/0.72 ( axiom_m5<=> (! [X,Y,Z] : is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f68,axiom,(
% 2.62/0.72 ( axiom_m6<=> (! [X] : is_a_theorem(strict_implies(X,possibly(X))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f70,axiom,(
% 2.62/0.72 ( axiom_m8<=> (! [P,Q] : is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f72,axiom,(
% 2.62/0.72 ( axiom_m10<=> (! [X] : is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X)))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f73,axiom,(
% 2.62/0.72 ( op_possibly=> (! [X] : possibly(X) = not(necessarily(not(X))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f74,axiom,(
% 2.62/0.72 ( op_necessarily=> (! [X] : necessarily(X) = not(possibly(not(X))) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f75,axiom,(
% 2.62/0.72 ( op_strict_implies=> (! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f76,axiom,(
% 2.62/0.72 ( op_strict_equiv=> (! [X,Y] : strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X)) )) ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f77,axiom,(
% 2.62/0.72 op_possibly ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f78,axiom,(
% 2.62/0.72 necessitation ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f79,axiom,(
% 2.62/0.72 axiom_K ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f80,axiom,(
% 2.62/0.72 axiom_M ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f81,axiom,(
% 2.62/0.72 axiom_5 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f85,axiom,(
% 2.62/0.72 op_strict_implies ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f87,axiom,(
% 2.62/0.72 op_strict_equiv ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f88,conjecture,(
% 2.62/0.72 axiom_m1 ),
% 2.62/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.72 fof(f89,negated_conjecture,(
% 2.62/0.72 ~(axiom_m1 )),
% 2.62/0.72 inference(negated_conjecture,[status(cth)],[f88])).
% 2.62/0.72 fof(f90,plain,(
% 2.62/0.72 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.62/0.72 fof(f91,plain,(
% 2.62/0.72 (~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))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f90])).
% 2.62/0.72 fof(f92,plain,(
% 2.62/0.72 (~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))))),
% 2.62/0.72 inference(miniscoping,[status(esa)],[f91])).
% 2.62/0.72 fof(f93,plain,(
% 2.62/0.72 (~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)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f92])).
% 2.62/0.72 fof(f94,plain,(
% 2.62/0.72 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f93])).
% 2.62/0.72 fof(f98,plain,(
% 2.62/0.72 substitution_of_equivalents<=>(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.62/0.72 fof(f99,plain,(
% 2.62/0.72 (~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)))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f98])).
% 2.62/0.72 fof(f100,plain,(
% 2.62/0.72 (~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))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f99])).
% 2.62/0.72 fof(f101,plain,(
% 2.62/0.72 ![X0,X1]: (~substitution_of_equivalents|~is_a_theorem(equiv(X0,X1))|X0=X1)),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f100])).
% 2.62/0.72 fof(f104,plain,(
% 2.62/0.72 (~modus_tollens|(![X,Y]: is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))&(modus_tollens|(?[X,Y]: ~is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f3])).
% 2.62/0.72 fof(f105,plain,(
% 2.62/0.72 (~modus_tollens|(![X,Y]: is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))&(modus_tollens|~is_a_theorem(implies(implies(not(sk0_5),not(sk0_4)),implies(sk0_4,sk0_5))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f104])).
% 2.62/0.72 fof(f106,plain,(
% 2.62/0.72 ![X0,X1]: (~modus_tollens|is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f105])).
% 2.62/0.72 fof(f108,plain,(
% 2.62/0.72 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|(?[X,Y]: ~is_a_theorem(implies(X,implies(Y,X)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f4])).
% 2.62/0.72 fof(f109,plain,(
% 2.62/0.72 (~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))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f108])).
% 2.62/0.72 fof(f110,plain,(
% 2.62/0.72 ![X0,X1]: (~implies_1|is_a_theorem(implies(X0,implies(X1,X0))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f109])).
% 2.62/0.72 fof(f112,plain,(
% 2.62/0.72 (~implies_2|(![X,Y]: is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))&(implies_2|(?[X,Y]: ~is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f5])).
% 2.62/0.72 fof(f113,plain,(
% 2.62/0.72 (~implies_2|(![X,Y]: is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))&(implies_2|~is_a_theorem(implies(implies(sk0_8,implies(sk0_8,sk0_9)),implies(sk0_8,sk0_9))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f112])).
% 2.62/0.72 fof(f114,plain,(
% 2.62/0.72 ![X0,X1]: (~implies_2|is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f113])).
% 2.62/0.72 fof(f116,plain,(
% 2.62/0.72 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|(?[X,Y,Z]: ~is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f6])).
% 2.62/0.72 fof(f117,plain,(
% 2.62/0.72 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|~is_a_theorem(implies(implies(sk0_10,sk0_11),implies(implies(sk0_11,sk0_12),implies(sk0_10,sk0_12)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f116])).
% 2.62/0.72 fof(f118,plain,(
% 2.62/0.72 ![X0,X1,X2]: (~implies_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f117])).
% 2.62/0.72 fof(f120,plain,(
% 2.62/0.72 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),X))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f7])).
% 2.62/0.72 fof(f121,plain,(
% 2.62/0.72 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|~is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f120])).
% 2.62/0.72 fof(f122,plain,(
% 2.62/0.72 ![X0,X1]: (~and_1|is_a_theorem(implies(and(X0,X1),X0)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f121])).
% 2.62/0.72 fof(f124,plain,(
% 2.62/0.72 (~and_2|(![X,Y]: is_a_theorem(implies(and(X,Y),Y))))&(and_2|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),Y))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f8])).
% 2.62/0.72 fof(f125,plain,(
% 2.62/0.72 (~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)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f124])).
% 2.62/0.72 fof(f126,plain,(
% 2.62/0.72 ![X0,X1]: (~and_2|is_a_theorem(implies(and(X0,X1),X1)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f125])).
% 2.62/0.72 fof(f128,plain,(
% 2.62/0.72 (~and_3|(![X,Y]: is_a_theorem(implies(X,implies(Y,and(X,Y))))))&(and_3|(?[X,Y]: ~is_a_theorem(implies(X,implies(Y,and(X,Y))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f9])).
% 2.62/0.72 fof(f129,plain,(
% 2.62/0.72 (~and_3|(![X,Y]: is_a_theorem(implies(X,implies(Y,and(X,Y))))))&(and_3|~is_a_theorem(implies(sk0_17,implies(sk0_18,and(sk0_17,sk0_18)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f128])).
% 2.62/0.72 fof(f130,plain,(
% 2.62/0.72 ![X0,X1]: (~and_3|is_a_theorem(implies(X0,implies(X1,and(X0,X1)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f129])).
% 2.62/0.72 fof(f132,plain,(
% 2.62/0.72 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|(?[X,Y]: ~is_a_theorem(implies(X,or(X,Y)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f10])).
% 2.62/0.72 fof(f133,plain,(
% 2.62/0.72 (~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))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f132])).
% 2.62/0.72 fof(f134,plain,(
% 2.62/0.72 ![X0,X1]: (~or_1|is_a_theorem(implies(X0,or(X0,X1))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f133])).
% 2.62/0.72 fof(f136,plain,(
% 2.62/0.72 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|(?[X,Y]: ~is_a_theorem(implies(Y,or(X,Y)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f11])).
% 2.62/0.72 fof(f137,plain,(
% 2.62/0.72 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|~is_a_theorem(implies(sk0_22,or(sk0_21,sk0_22))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f136])).
% 2.62/0.72 fof(f138,plain,(
% 2.62/0.72 ![X0,X1]: (~or_2|is_a_theorem(implies(X0,or(X1,X0))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f137])).
% 2.62/0.72 fof(f140,plain,(
% 2.62/0.72 (~or_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))))&(or_3|(?[X,Y,Z]: ~is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f12])).
% 2.62/0.72 fof(f141,plain,(
% 2.62/0.72 (~or_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))))&(or_3|~is_a_theorem(implies(implies(sk0_23,sk0_25),implies(implies(sk0_24,sk0_25),implies(or(sk0_23,sk0_24),sk0_25)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f140])).
% 2.62/0.72 fof(f142,plain,(
% 2.62/0.72 ![X0,X1,X2]: (~or_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f141])).
% 2.62/0.72 fof(f144,plain,(
% 2.62/0.72 (~equivalence_1|(![X,Y]: is_a_theorem(implies(equiv(X,Y),implies(X,Y)))))&(equivalence_1|(?[X,Y]: ~is_a_theorem(implies(equiv(X,Y),implies(X,Y)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f13])).
% 2.62/0.72 fof(f145,plain,(
% 2.62/0.72 (~equivalence_1|(![X,Y]: is_a_theorem(implies(equiv(X,Y),implies(X,Y)))))&(equivalence_1|~is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f144])).
% 2.62/0.72 fof(f146,plain,(
% 2.62/0.72 ![X0,X1]: (~equivalence_1|is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f145])).
% 2.62/0.72 fof(f147,plain,(
% 2.62/0.72 equivalence_1|~is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f145])).
% 2.62/0.72 fof(f148,plain,(
% 2.62/0.72 (~equivalence_2|(![X,Y]: is_a_theorem(implies(equiv(X,Y),implies(Y,X)))))&(equivalence_2|(?[X,Y]: ~is_a_theorem(implies(equiv(X,Y),implies(Y,X)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f14])).
% 2.62/0.72 fof(f149,plain,(
% 2.62/0.72 (~equivalence_2|(![X,Y]: is_a_theorem(implies(equiv(X,Y),implies(Y,X)))))&(equivalence_2|~is_a_theorem(implies(equiv(sk0_28,sk0_29),implies(sk0_29,sk0_28))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f148])).
% 2.62/0.72 fof(f150,plain,(
% 2.62/0.72 ![X0,X1]: (~equivalence_2|is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f149])).
% 2.62/0.72 fof(f151,plain,(
% 2.62/0.72 equivalence_2|~is_a_theorem(implies(equiv(sk0_28,sk0_29),implies(sk0_29,sk0_28)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f149])).
% 2.62/0.72 fof(f156,plain,(
% 2.62/0.72 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|(?[P]: ~is_a_theorem(implies(P,and(P,P)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f16])).
% 2.62/0.72 fof(f157,plain,(
% 2.62/0.72 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|~is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f156])).
% 2.62/0.72 fof(f159,plain,(
% 2.62/0.72 kn1|~is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f157])).
% 2.62/0.72 fof(f160,plain,(
% 2.62/0.72 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f17])).
% 2.62/0.72 fof(f161,plain,(
% 2.62/0.72 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f160])).
% 2.62/0.72 fof(f163,plain,(
% 2.62/0.72 kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f161])).
% 2.62/0.72 fof(f168,plain,(
% 2.62/0.72 (~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))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f19])).
% 2.62/0.72 fof(f169,plain,(
% 2.62/0.72 (~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)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f168])).
% 2.62/0.72 fof(f171,plain,(
% 2.62/0.72 cn1|~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f169])).
% 2.62/0.72 fof(f172,plain,(
% 2.62/0.72 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|(?[P,Q]: ~is_a_theorem(implies(P,implies(not(P),Q)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f20])).
% 2.62/0.72 fof(f173,plain,(
% 2.62/0.72 (~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))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f172])).
% 2.62/0.72 fof(f174,plain,(
% 2.62/0.72 ![X0,X1]: (~cn2|is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f173])).
% 2.62/0.72 fof(f175,plain,(
% 2.62/0.72 cn2|~is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f173])).
% 2.62/0.72 fof(f176,plain,(
% 2.62/0.72 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f21])).
% 2.62/0.72 fof(f177,plain,(
% 2.62/0.72 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f176])).
% 2.62/0.72 fof(f178,plain,(
% 2.62/0.72 ![X0]: (~cn3|is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f177])).
% 2.62/0.72 fof(f179,plain,(
% 2.62/0.72 cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f177])).
% 2.62/0.72 fof(f180,plain,(
% 2.62/0.72 (~r1|(![P]: is_a_theorem(implies(or(P,P),P))))&(r1|(?[P]: ~is_a_theorem(implies(or(P,P),P))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f22])).
% 2.62/0.72 fof(f181,plain,(
% 2.62/0.72 (~r1|(![P]: is_a_theorem(implies(or(P,P),P))))&(r1|~is_a_theorem(implies(or(sk0_44,sk0_44),sk0_44)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f180])).
% 2.62/0.72 fof(f182,plain,(
% 2.62/0.72 ![X0]: (~r1|is_a_theorem(implies(or(X0,X0),X0)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f181])).
% 2.62/0.72 fof(f183,plain,(
% 2.62/0.72 r1|~is_a_theorem(implies(or(sk0_44,sk0_44),sk0_44))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f181])).
% 2.62/0.72 fof(f184,plain,(
% 2.62/0.72 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|(?[P,Q]: ~is_a_theorem(implies(Q,or(P,Q)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f23])).
% 2.62/0.72 fof(f185,plain,(
% 2.62/0.72 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f184])).
% 2.62/0.72 fof(f187,plain,(
% 2.62/0.72 r2|~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f185])).
% 2.62/0.72 fof(f188,plain,(
% 2.62/0.72 (~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)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f24])).
% 2.62/0.72 fof(f189,plain,(
% 2.62/0.72 (~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))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f188])).
% 2.62/0.72 fof(f191,plain,(
% 2.62/0.72 r3|~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f189])).
% 2.62/0.72 fof(f200,plain,(
% 2.62/0.72 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 2.62/0.72 fof(f201,plain,(
% 2.62/0.72 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f200])).
% 2.62/0.72 fof(f204,plain,(
% 2.62/0.72 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 2.62/0.72 fof(f205,plain,(
% 2.62/0.72 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f204])).
% 2.62/0.72 fof(f208,plain,(
% 2.62/0.72 ~op_equiv|(![X,Y]: equiv(X,Y)=and(implies(X,Y),implies(Y,X)))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 2.62/0.72 fof(f209,plain,(
% 2.62/0.72 ![X0,X1]: (~op_equiv|equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f208])).
% 2.62/0.72 fof(f210,plain,(
% 2.62/0.72 op_or),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f32])).
% 2.62/0.72 fof(f211,plain,(
% 2.62/0.72 op_implies_and),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f33])).
% 2.62/0.72 fof(f212,plain,(
% 2.62/0.72 op_equiv),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f34])).
% 2.62/0.72 fof(f213,plain,(
% 2.62/0.72 modus_ponens),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f35])).
% 2.62/0.72 fof(f214,plain,(
% 2.62/0.72 modus_tollens),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f36])).
% 2.62/0.72 fof(f215,plain,(
% 2.62/0.72 implies_1),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f37])).
% 2.62/0.72 fof(f216,plain,(
% 2.62/0.72 implies_2),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f38])).
% 2.62/0.72 fof(f217,plain,(
% 2.62/0.72 implies_3),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f39])).
% 2.62/0.72 fof(f218,plain,(
% 2.62/0.72 and_1),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f40])).
% 2.62/0.72 fof(f219,plain,(
% 2.62/0.72 and_2),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f41])).
% 2.62/0.72 fof(f220,plain,(
% 2.62/0.72 and_3),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f42])).
% 2.62/0.72 fof(f221,plain,(
% 2.62/0.72 or_1),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f43])).
% 2.62/0.72 fof(f222,plain,(
% 2.62/0.72 or_2),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f44])).
% 2.62/0.72 fof(f223,plain,(
% 2.62/0.72 or_3),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f45])).
% 2.62/0.72 fof(f226,plain,(
% 2.62/0.72 equivalence_3),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f48])).
% 2.62/0.72 fof(f227,plain,(
% 2.62/0.72 substitution_of_equivalents),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f49])).
% 2.62/0.72 fof(f228,plain,(
% 2.62/0.72 necessitation<=>(![X]: (~is_a_theorem(X)|is_a_theorem(necessarily(X))))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 2.62/0.72 fof(f229,plain,(
% 2.62/0.72 (~necessitation|(![X]: (~is_a_theorem(X)|is_a_theorem(necessarily(X)))))&(necessitation|(?[X]: (is_a_theorem(X)&~is_a_theorem(necessarily(X)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f228])).
% 2.62/0.72 fof(f230,plain,(
% 2.62/0.72 (~necessitation|(![X]: (~is_a_theorem(X)|is_a_theorem(necessarily(X)))))&(necessitation|(is_a_theorem(sk0_55)&~is_a_theorem(necessarily(sk0_55))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f229])).
% 2.62/0.72 fof(f231,plain,(
% 2.62/0.72 ![X0]: (~necessitation|~is_a_theorem(X0)|is_a_theorem(necessarily(X0)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f230])).
% 2.62/0.72 fof(f234,plain,(
% 2.62/0.72 modus_ponens_strict_implies<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y)))|is_a_theorem(Y)))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 2.62/0.72 fof(f235,plain,(
% 2.62/0.72 (~modus_ponens_strict_implies|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y)))|is_a_theorem(Y))))&(modus_ponens_strict_implies|(?[X,Y]: ((is_a_theorem(X)&is_a_theorem(strict_implies(X,Y)))&~is_a_theorem(Y))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f234])).
% 2.62/0.72 fof(f236,plain,(
% 2.62/0.72 (~modus_ponens_strict_implies|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens_strict_implies|(?[Y]: ((?[X]: (is_a_theorem(X)&is_a_theorem(strict_implies(X,Y))))&~is_a_theorem(Y))))),
% 2.62/0.72 inference(miniscoping,[status(esa)],[f235])).
% 2.62/0.72 fof(f237,plain,(
% 2.62/0.72 (~modus_ponens_strict_implies|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens_strict_implies|((is_a_theorem(sk0_57)&is_a_theorem(strict_implies(sk0_57,sk0_56)))&~is_a_theorem(sk0_56)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f236])).
% 2.62/0.72 fof(f238,plain,(
% 2.62/0.72 ![X0,X1]: (~modus_ponens_strict_implies|~is_a_theorem(X0)|~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(X1))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f237])).
% 2.62/0.72 fof(f239,plain,(
% 2.62/0.72 modus_ponens_strict_implies|is_a_theorem(sk0_57)),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f237])).
% 2.62/0.72 fof(f240,plain,(
% 2.62/0.72 modus_ponens_strict_implies|is_a_theorem(strict_implies(sk0_57,sk0_56))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f237])).
% 2.62/0.72 fof(f241,plain,(
% 2.62/0.72 modus_ponens_strict_implies|~is_a_theorem(sk0_56)),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f237])).
% 2.62/0.72 fof(f242,plain,(
% 2.62/0.72 adjunction<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(Y))|is_a_theorem(and(X,Y))))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 2.62/0.72 fof(f243,plain,(
% 2.62/0.72 (~adjunction|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(Y))|is_a_theorem(and(X,Y)))))&(adjunction|(?[X,Y]: ((is_a_theorem(X)&is_a_theorem(Y))&~is_a_theorem(and(X,Y)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f242])).
% 2.62/0.72 fof(f244,plain,(
% 2.62/0.72 (~adjunction|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(Y))|is_a_theorem(and(X,Y)))))&(adjunction|((is_a_theorem(sk0_58)&is_a_theorem(sk0_59))&~is_a_theorem(and(sk0_58,sk0_59))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f243])).
% 2.62/0.72 fof(f245,plain,(
% 2.62/0.72 ![X0,X1]: (~adjunction|~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(and(X0,X1)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f244])).
% 2.62/0.72 fof(f246,plain,(
% 2.62/0.72 adjunction|is_a_theorem(sk0_58)),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f244])).
% 2.62/0.72 fof(f247,plain,(
% 2.62/0.72 adjunction|is_a_theorem(sk0_59)),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f244])).
% 2.62/0.72 fof(f248,plain,(
% 2.62/0.72 adjunction|~is_a_theorem(and(sk0_58,sk0_59))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f244])).
% 2.62/0.72 fof(f249,plain,(
% 2.62/0.72 substitution_strict_equiv<=>(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 2.62/0.72 fof(f250,plain,(
% 2.62/0.72 (~substitution_strict_equiv|(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y)))&(substitution_strict_equiv|(?[X,Y]: (is_a_theorem(strict_equiv(X,Y))&~X=Y)))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f249])).
% 2.62/0.72 fof(f251,plain,(
% 2.62/0.72 (~substitution_strict_equiv|(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y)))&(substitution_strict_equiv|(is_a_theorem(strict_equiv(sk0_60,sk0_61))&~sk0_60=sk0_61))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f250])).
% 2.62/0.72 fof(f252,plain,(
% 2.62/0.72 ![X0,X1]: (~substitution_strict_equiv|~is_a_theorem(strict_equiv(X0,X1))|X0=X1)),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f251])).
% 2.62/0.72 fof(f253,plain,(
% 2.62/0.72 substitution_strict_equiv|is_a_theorem(strict_equiv(sk0_60,sk0_61))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f251])).
% 2.62/0.72 fof(f254,plain,(
% 2.62/0.72 substitution_strict_equiv|~sk0_60=sk0_61),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f251])).
% 2.62/0.72 fof(f255,plain,(
% 2.62/0.72 (~axiom_K|(![X,Y]: is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y))))))&(axiom_K|(?[X,Y]: ~is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f54])).
% 2.62/0.72 fof(f256,plain,(
% 2.62/0.72 (~axiom_K|(![X,Y]: is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y))))))&(axiom_K|~is_a_theorem(implies(necessarily(implies(sk0_62,sk0_63)),implies(necessarily(sk0_62),necessarily(sk0_63)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f255])).
% 2.62/0.72 fof(f257,plain,(
% 2.62/0.72 ![X0,X1]: (~axiom_K|is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f256])).
% 2.62/0.72 fof(f259,plain,(
% 2.62/0.72 (~axiom_M|(![X]: is_a_theorem(implies(necessarily(X),X))))&(axiom_M|(?[X]: ~is_a_theorem(implies(necessarily(X),X))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f55])).
% 2.62/0.72 fof(f260,plain,(
% 2.62/0.72 (~axiom_M|(![X]: is_a_theorem(implies(necessarily(X),X))))&(axiom_M|~is_a_theorem(implies(necessarily(sk0_64),sk0_64)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f259])).
% 2.62/0.72 fof(f261,plain,(
% 2.62/0.72 ![X0]: (~axiom_M|is_a_theorem(implies(necessarily(X0),X0)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f260])).
% 2.62/0.72 fof(f271,plain,(
% 2.62/0.72 (~axiom_5|(![X]: is_a_theorem(implies(possibly(X),necessarily(possibly(X))))))&(axiom_5|(?[X]: ~is_a_theorem(implies(possibly(X),necessarily(possibly(X))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f58])).
% 2.62/0.72 fof(f272,plain,(
% 2.62/0.72 (~axiom_5|(![X]: is_a_theorem(implies(possibly(X),necessarily(possibly(X))))))&(axiom_5|~is_a_theorem(implies(possibly(sk0_67),necessarily(possibly(sk0_67)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f271])).
% 2.62/0.72 fof(f273,plain,(
% 2.62/0.72 ![X0]: (~axiom_5|is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f272])).
% 2.62/0.72 fof(f275,plain,(
% 2.62/0.72 (~axiom_s1|(![X,Y,Z]: is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z))))))&(axiom_s1|(?[X,Y,Z]: ~is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f59])).
% 2.62/0.72 fof(f276,plain,(
% 2.62/0.72 (~axiom_s1|(![X,Y,Z]: is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z))))))&(axiom_s1|~is_a_theorem(implies(and(necessarily(implies(sk0_68,sk0_69)),necessarily(implies(sk0_69,sk0_70))),necessarily(implies(sk0_68,sk0_70)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f275])).
% 2.62/0.72 fof(f277,plain,(
% 2.62/0.72 ![X0,X1,X2]: (~axiom_s1|is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f276])).
% 2.62/0.72 fof(f278,plain,(
% 2.62/0.72 axiom_s1|~is_a_theorem(implies(and(necessarily(implies(sk0_68,sk0_69)),necessarily(implies(sk0_69,sk0_70))),necessarily(implies(sk0_68,sk0_70))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f276])).
% 2.62/0.72 fof(f283,plain,(
% 2.62/0.72 (~axiom_s3|(![X,Y]: is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X)))))))&(axiom_s3|(?[X,Y]: ~is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X)))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f61])).
% 2.62/0.72 fof(f284,plain,(
% 2.62/0.72 (~axiom_s3|(![X,Y]: is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X)))))))&(axiom_s3|~is_a_theorem(strict_implies(strict_implies(sk0_73,sk0_74),strict_implies(not(possibly(sk0_74)),not(possibly(sk0_73))))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f283])).
% 2.62/0.72 fof(f285,plain,(
% 2.62/0.72 ![X0,X1]: (~axiom_s3|is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f284])).
% 2.62/0.72 fof(f286,plain,(
% 2.62/0.72 axiom_s3|~is_a_theorem(strict_implies(strict_implies(sk0_73,sk0_74),strict_implies(not(possibly(sk0_74)),not(possibly(sk0_73)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f284])).
% 2.62/0.72 fof(f291,plain,(
% 2.62/0.72 (~axiom_m1|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),and(Y,X)))))&(axiom_m1|(?[X,Y]: ~is_a_theorem(strict_implies(and(X,Y),and(Y,X)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f63])).
% 2.62/0.72 fof(f292,plain,(
% 2.62/0.72 (~axiom_m1|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),and(Y,X)))))&(axiom_m1|~is_a_theorem(strict_implies(and(sk0_76,sk0_77),and(sk0_77,sk0_76))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f291])).
% 2.62/0.72 fof(f294,plain,(
% 2.62/0.72 axiom_m1|~is_a_theorem(strict_implies(and(sk0_76,sk0_77),and(sk0_77,sk0_76)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f292])).
% 2.62/0.72 fof(f295,plain,(
% 2.62/0.72 (~axiom_m2|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),X))))&(axiom_m2|(?[X,Y]: ~is_a_theorem(strict_implies(and(X,Y),X))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f64])).
% 2.62/0.72 fof(f296,plain,(
% 2.62/0.72 (~axiom_m2|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),X))))&(axiom_m2|~is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78)))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f295])).
% 2.62/0.72 fof(f298,plain,(
% 2.62/0.72 axiom_m2|~is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f296])).
% 2.62/0.72 fof(f299,plain,(
% 2.62/0.72 (~axiom_m3|(![X,Y,Z]: is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))))&(axiom_m3|(?[X,Y,Z]: ~is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f65])).
% 2.62/0.72 fof(f300,plain,(
% 2.62/0.72 (~axiom_m3|(![X,Y,Z]: is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))))&(axiom_m3|~is_a_theorem(strict_implies(and(and(sk0_80,sk0_81),sk0_82),and(sk0_80,and(sk0_81,sk0_82)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f299])).
% 2.62/0.72 fof(f301,plain,(
% 2.62/0.72 ![X0,X1,X2]: (~axiom_m3|is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f300])).
% 2.62/0.72 fof(f302,plain,(
% 2.62/0.72 axiom_m3|~is_a_theorem(strict_implies(and(and(sk0_80,sk0_81),sk0_82),and(sk0_80,and(sk0_81,sk0_82))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f300])).
% 2.62/0.72 fof(f303,plain,(
% 2.62/0.72 (~axiom_m4|(![X]: is_a_theorem(strict_implies(X,and(X,X)))))&(axiom_m4|(?[X]: ~is_a_theorem(strict_implies(X,and(X,X)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f66])).
% 2.62/0.72 fof(f304,plain,(
% 2.62/0.72 (~axiom_m4|(![X]: is_a_theorem(strict_implies(X,and(X,X)))))&(axiom_m4|~is_a_theorem(strict_implies(sk0_83,and(sk0_83,sk0_83))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f303])).
% 2.62/0.72 fof(f306,plain,(
% 2.62/0.72 axiom_m4|~is_a_theorem(strict_implies(sk0_83,and(sk0_83,sk0_83)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f304])).
% 2.62/0.72 fof(f307,plain,(
% 2.62/0.72 (~axiom_m5|(![X,Y,Z]: is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z)))))&(axiom_m5|(?[X,Y,Z]: ~is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f67])).
% 2.62/0.72 fof(f308,plain,(
% 2.62/0.72 (~axiom_m5|(![X,Y,Z]: is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z)))))&(axiom_m5|~is_a_theorem(strict_implies(and(strict_implies(sk0_84,sk0_85),strict_implies(sk0_85,sk0_86)),strict_implies(sk0_84,sk0_86))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f307])).
% 2.62/0.72 fof(f310,plain,(
% 2.62/0.72 axiom_m5|~is_a_theorem(strict_implies(and(strict_implies(sk0_84,sk0_85),strict_implies(sk0_85,sk0_86)),strict_implies(sk0_84,sk0_86)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f308])).
% 2.62/0.72 fof(f311,plain,(
% 2.62/0.72 (~axiom_m6|(![X]: is_a_theorem(strict_implies(X,possibly(X)))))&(axiom_m6|(?[X]: ~is_a_theorem(strict_implies(X,possibly(X)))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f68])).
% 2.62/0.72 fof(f312,plain,(
% 2.62/0.72 (~axiom_m6|(![X]: is_a_theorem(strict_implies(X,possibly(X)))))&(axiom_m6|~is_a_theorem(strict_implies(sk0_87,possibly(sk0_87))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f311])).
% 2.62/0.72 fof(f313,plain,(
% 2.62/0.72 ![X0]: (~axiom_m6|is_a_theorem(strict_implies(X0,possibly(X0))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f312])).
% 2.62/0.72 fof(f314,plain,(
% 2.62/0.72 axiom_m6|~is_a_theorem(strict_implies(sk0_87,possibly(sk0_87)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f312])).
% 2.62/0.72 fof(f319,plain,(
% 2.62/0.72 (~axiom_m8|(![P,Q]: is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q))))))&(axiom_m8|(?[P,Q]: ~is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f70])).
% 2.62/0.72 fof(f320,plain,(
% 2.62/0.72 (~axiom_m8|(![P,Q]: is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q))))))&(axiom_m8|~is_a_theorem(strict_implies(strict_implies(sk0_90,sk0_91),strict_implies(possibly(sk0_90),possibly(sk0_91)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f319])).
% 2.62/0.72 fof(f321,plain,(
% 2.62/0.72 ![X0,X1]: (~axiom_m8|is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1)))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f320])).
% 2.62/0.72 fof(f322,plain,(
% 2.62/0.72 axiom_m8|~is_a_theorem(strict_implies(strict_implies(sk0_90,sk0_91),strict_implies(possibly(sk0_90),possibly(sk0_91))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f320])).
% 2.62/0.72 fof(f327,plain,(
% 2.62/0.72 (~axiom_m10|(![X]: is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X))))))&(axiom_m10|(?[X]: ~is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X))))))),
% 2.62/0.72 inference(NNF_transformation,[status(esa)],[f72])).
% 2.62/0.72 fof(f328,plain,(
% 2.62/0.72 (~axiom_m10|(![X]: is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X))))))&(axiom_m10|~is_a_theorem(strict_implies(possibly(sk0_93),necessarily(possibly(sk0_93)))))),
% 2.62/0.72 inference(skolemization,[status(esa)],[f327])).
% 2.62/0.72 fof(f330,plain,(
% 2.62/0.72 axiom_m10|~is_a_theorem(strict_implies(possibly(sk0_93),necessarily(possibly(sk0_93))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f328])).
% 2.62/0.72 fof(f331,plain,(
% 2.62/0.72 ~op_possibly|(![X]: possibly(X)=not(necessarily(not(X))))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 2.62/0.72 fof(f332,plain,(
% 2.62/0.72 ![X0]: (~op_possibly|possibly(X0)=not(necessarily(not(X0))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f331])).
% 2.62/0.72 fof(f333,plain,(
% 2.62/0.72 ~op_necessarily|(![X]: necessarily(X)=not(possibly(not(X))))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 2.62/0.72 fof(f334,plain,(
% 2.62/0.72 ![X0]: (~op_necessarily|necessarily(X0)=not(possibly(not(X0))))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f333])).
% 2.62/0.72 fof(f335,plain,(
% 2.62/0.72 ~op_strict_implies|(![X,Y]: strict_implies(X,Y)=necessarily(implies(X,Y)))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 2.62/0.72 fof(f336,plain,(
% 2.62/0.72 ![X0,X1]: (~op_strict_implies|strict_implies(X0,X1)=necessarily(implies(X0,X1)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f335])).
% 2.62/0.72 fof(f337,plain,(
% 2.62/0.72 ~op_strict_equiv|(![X,Y]: strict_equiv(X,Y)=and(strict_implies(X,Y),strict_implies(Y,X)))),
% 2.62/0.72 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 2.62/0.72 fof(f338,plain,(
% 2.62/0.72 ![X0,X1]: (~op_strict_equiv|strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0)))),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f337])).
% 2.62/0.72 fof(f339,plain,(
% 2.62/0.72 op_possibly),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f77])).
% 2.62/0.72 fof(f340,plain,(
% 2.62/0.72 necessitation),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f78])).
% 2.62/0.72 fof(f341,plain,(
% 2.62/0.72 axiom_K),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f79])).
% 2.62/0.72 fof(f342,plain,(
% 2.62/0.72 axiom_M),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f80])).
% 2.62/0.72 fof(f343,plain,(
% 2.62/0.72 axiom_5),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f81])).
% 2.62/0.72 fof(f347,plain,(
% 2.62/0.72 op_strict_implies),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f85])).
% 2.62/0.72 fof(f349,plain,(
% 2.62/0.72 op_strict_equiv),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f87])).
% 2.62/0.72 fof(f350,plain,(
% 2.62/0.72 ~axiom_m1),
% 2.62/0.72 inference(cnf_transformation,[status(esa)],[f89])).
% 2.62/0.72 fof(f351,plain,(
% 2.62/0.72 spl0_0 <=> modus_ponens),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f353,plain,(
% 2.62/0.72 ~modus_ponens|spl0_0),
% 2.62/0.72 inference(component_clause,[status(thm)],[f351])).
% 2.62/0.72 fof(f354,plain,(
% 2.62/0.72 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f355,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f354])).
% 2.62/0.72 fof(f357,plain,(
% 2.62/0.72 ~spl0_0|spl0_1),
% 2.62/0.72 inference(split_clause,[status(thm)],[f94,f351,f354])).
% 2.62/0.72 fof(f370,plain,(
% 2.62/0.72 spl0_5 <=> substitution_of_equivalents),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f372,plain,(
% 2.62/0.72 ~substitution_of_equivalents|spl0_5),
% 2.62/0.72 inference(component_clause,[status(thm)],[f370])).
% 2.62/0.72 fof(f373,plain,(
% 2.62/0.72 spl0_6 <=> ~is_a_theorem(equiv(X0,X1))|X0=X1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f374,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(equiv(X0,X1))|X0=X1|~spl0_6)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f373])).
% 2.62/0.72 fof(f376,plain,(
% 2.62/0.72 ~spl0_5|spl0_6),
% 2.62/0.72 inference(split_clause,[status(thm)],[f101,f370,f373])).
% 2.62/0.72 fof(f385,plain,(
% 2.62/0.72 spl0_9 <=> modus_tollens),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f387,plain,(
% 2.62/0.72 ~modus_tollens|spl0_9),
% 2.62/0.72 inference(component_clause,[status(thm)],[f385])).
% 2.62/0.72 fof(f388,plain,(
% 2.62/0.72 spl0_10 <=> is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f389,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))|~spl0_10)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f388])).
% 2.62/0.72 fof(f391,plain,(
% 2.62/0.72 ~spl0_9|spl0_10),
% 2.62/0.72 inference(split_clause,[status(thm)],[f106,f385,f388])).
% 2.62/0.72 fof(f392,plain,(
% 2.62/0.72 spl0_11 <=> is_a_theorem(implies(implies(not(sk0_5),not(sk0_4)),implies(sk0_4,sk0_5)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f394,plain,(
% 2.62/0.72 ~is_a_theorem(implies(implies(not(sk0_5),not(sk0_4)),implies(sk0_4,sk0_5)))|spl0_11),
% 2.62/0.72 inference(component_clause,[status(thm)],[f392])).
% 2.62/0.72 fof(f396,plain,(
% 2.62/0.72 spl0_12 <=> implies_1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f398,plain,(
% 2.62/0.72 ~implies_1|spl0_12),
% 2.62/0.72 inference(component_clause,[status(thm)],[f396])).
% 2.62/0.72 fof(f399,plain,(
% 2.62/0.72 spl0_13 <=> is_a_theorem(implies(X0,implies(X1,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f400,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_13)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f399])).
% 2.62/0.72 fof(f402,plain,(
% 2.62/0.72 ~spl0_12|spl0_13),
% 2.62/0.72 inference(split_clause,[status(thm)],[f110,f396,f399])).
% 2.62/0.72 fof(f403,plain,(
% 2.62/0.72 spl0_14 <=> is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f405,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))|spl0_14),
% 2.62/0.72 inference(component_clause,[status(thm)],[f403])).
% 2.62/0.72 fof(f407,plain,(
% 2.62/0.72 spl0_15 <=> implies_2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f409,plain,(
% 2.62/0.72 ~implies_2|spl0_15),
% 2.62/0.72 inference(component_clause,[status(thm)],[f407])).
% 2.62/0.72 fof(f410,plain,(
% 2.62/0.72 spl0_16 <=> is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f411,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))|~spl0_16)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f410])).
% 2.62/0.72 fof(f413,plain,(
% 2.62/0.72 ~spl0_15|spl0_16),
% 2.62/0.72 inference(split_clause,[status(thm)],[f114,f407,f410])).
% 2.62/0.72 fof(f414,plain,(
% 2.62/0.72 spl0_17 <=> is_a_theorem(implies(implies(sk0_8,implies(sk0_8,sk0_9)),implies(sk0_8,sk0_9)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f416,plain,(
% 2.62/0.72 ~is_a_theorem(implies(implies(sk0_8,implies(sk0_8,sk0_9)),implies(sk0_8,sk0_9)))|spl0_17),
% 2.62/0.72 inference(component_clause,[status(thm)],[f414])).
% 2.62/0.72 fof(f418,plain,(
% 2.62/0.72 spl0_18 <=> implies_3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f420,plain,(
% 2.62/0.72 ~implies_3|spl0_18),
% 2.62/0.72 inference(component_clause,[status(thm)],[f418])).
% 2.62/0.72 fof(f421,plain,(
% 2.62/0.72 spl0_19 <=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f422,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_19)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f421])).
% 2.62/0.72 fof(f424,plain,(
% 2.62/0.72 ~spl0_18|spl0_19),
% 2.62/0.72 inference(split_clause,[status(thm)],[f118,f418,f421])).
% 2.62/0.72 fof(f425,plain,(
% 2.62/0.72 spl0_20 <=> is_a_theorem(implies(implies(sk0_10,sk0_11),implies(implies(sk0_11,sk0_12),implies(sk0_10,sk0_12))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f427,plain,(
% 2.62/0.72 ~is_a_theorem(implies(implies(sk0_10,sk0_11),implies(implies(sk0_11,sk0_12),implies(sk0_10,sk0_12))))|spl0_20),
% 2.62/0.72 inference(component_clause,[status(thm)],[f425])).
% 2.62/0.72 fof(f429,plain,(
% 2.62/0.72 spl0_21 <=> and_1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f431,plain,(
% 2.62/0.72 ~and_1|spl0_21),
% 2.62/0.72 inference(component_clause,[status(thm)],[f429])).
% 2.62/0.72 fof(f432,plain,(
% 2.62/0.72 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f433,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f432])).
% 2.62/0.72 fof(f435,plain,(
% 2.62/0.72 ~spl0_21|spl0_22),
% 2.62/0.72 inference(split_clause,[status(thm)],[f122,f429,f432])).
% 2.62/0.72 fof(f436,plain,(
% 2.62/0.72 spl0_23 <=> is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f438,plain,(
% 2.62/0.72 ~is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13))|spl0_23),
% 2.62/0.72 inference(component_clause,[status(thm)],[f436])).
% 2.62/0.72 fof(f440,plain,(
% 2.62/0.72 spl0_24 <=> and_2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f442,plain,(
% 2.62/0.72 ~and_2|spl0_24),
% 2.62/0.72 inference(component_clause,[status(thm)],[f440])).
% 2.62/0.72 fof(f443,plain,(
% 2.62/0.72 spl0_25 <=> is_a_theorem(implies(and(X0,X1),X1))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f444,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X1))|~spl0_25)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f443])).
% 2.62/0.72 fof(f446,plain,(
% 2.62/0.72 ~spl0_24|spl0_25),
% 2.62/0.72 inference(split_clause,[status(thm)],[f126,f440,f443])).
% 2.62/0.72 fof(f447,plain,(
% 2.62/0.72 spl0_26 <=> is_a_theorem(implies(and(sk0_15,sk0_16),sk0_16))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f449,plain,(
% 2.62/0.72 ~is_a_theorem(implies(and(sk0_15,sk0_16),sk0_16))|spl0_26),
% 2.62/0.72 inference(component_clause,[status(thm)],[f447])).
% 2.62/0.72 fof(f451,plain,(
% 2.62/0.72 spl0_27 <=> and_3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f453,plain,(
% 2.62/0.72 ~and_3|spl0_27),
% 2.62/0.72 inference(component_clause,[status(thm)],[f451])).
% 2.62/0.72 fof(f454,plain,(
% 2.62/0.72 spl0_28 <=> is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f455,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,and(X0,X1))))|~spl0_28)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f454])).
% 2.62/0.72 fof(f457,plain,(
% 2.62/0.72 ~spl0_27|spl0_28),
% 2.62/0.72 inference(split_clause,[status(thm)],[f130,f451,f454])).
% 2.62/0.72 fof(f462,plain,(
% 2.62/0.72 spl0_30 <=> or_1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f464,plain,(
% 2.62/0.72 ~or_1|spl0_30),
% 2.62/0.72 inference(component_clause,[status(thm)],[f462])).
% 2.62/0.72 fof(f465,plain,(
% 2.62/0.72 spl0_31 <=> is_a_theorem(implies(X0,or(X0,X1)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f466,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~spl0_31)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f465])).
% 2.62/0.72 fof(f468,plain,(
% 2.62/0.72 ~spl0_30|spl0_31),
% 2.62/0.72 inference(split_clause,[status(thm)],[f134,f462,f465])).
% 2.62/0.72 fof(f469,plain,(
% 2.62/0.72 spl0_32 <=> is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f471,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))|spl0_32),
% 2.62/0.72 inference(component_clause,[status(thm)],[f469])).
% 2.62/0.72 fof(f473,plain,(
% 2.62/0.72 spl0_33 <=> or_2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f475,plain,(
% 2.62/0.72 ~or_2|spl0_33),
% 2.62/0.72 inference(component_clause,[status(thm)],[f473])).
% 2.62/0.72 fof(f476,plain,(
% 2.62/0.72 spl0_34 <=> is_a_theorem(implies(X0,or(X1,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f477,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0)))|~spl0_34)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f476])).
% 2.62/0.72 fof(f479,plain,(
% 2.62/0.72 ~spl0_33|spl0_34),
% 2.62/0.72 inference(split_clause,[status(thm)],[f138,f473,f476])).
% 2.62/0.72 fof(f480,plain,(
% 2.62/0.72 spl0_35 <=> is_a_theorem(implies(sk0_22,or(sk0_21,sk0_22)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f482,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_22,or(sk0_21,sk0_22)))|spl0_35),
% 2.62/0.72 inference(component_clause,[status(thm)],[f480])).
% 2.62/0.72 fof(f484,plain,(
% 2.62/0.72 spl0_36 <=> or_3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f486,plain,(
% 2.62/0.72 ~or_3|spl0_36),
% 2.62/0.72 inference(component_clause,[status(thm)],[f484])).
% 2.62/0.72 fof(f487,plain,(
% 2.62/0.72 spl0_37 <=> is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f488,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))|~spl0_37)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f487])).
% 2.62/0.72 fof(f490,plain,(
% 2.62/0.72 ~spl0_36|spl0_37),
% 2.62/0.72 inference(split_clause,[status(thm)],[f142,f484,f487])).
% 2.62/0.72 fof(f491,plain,(
% 2.62/0.72 spl0_38 <=> is_a_theorem(implies(implies(sk0_23,sk0_25),implies(implies(sk0_24,sk0_25),implies(or(sk0_23,sk0_24),sk0_25))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f493,plain,(
% 2.62/0.72 ~is_a_theorem(implies(implies(sk0_23,sk0_25),implies(implies(sk0_24,sk0_25),implies(or(sk0_23,sk0_24),sk0_25))))|spl0_38),
% 2.62/0.72 inference(component_clause,[status(thm)],[f491])).
% 2.62/0.72 fof(f495,plain,(
% 2.62/0.72 spl0_39 <=> equivalence_1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f498,plain,(
% 2.62/0.72 spl0_40 <=> is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f501,plain,(
% 2.62/0.72 ~spl0_39|spl0_40),
% 2.62/0.72 inference(split_clause,[status(thm)],[f146,f495,f498])).
% 2.62/0.72 fof(f502,plain,(
% 2.62/0.72 spl0_41 <=> is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f504,plain,(
% 2.62/0.72 ~is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27)))|spl0_41),
% 2.62/0.72 inference(component_clause,[status(thm)],[f502])).
% 2.62/0.72 fof(f505,plain,(
% 2.62/0.72 spl0_39|~spl0_41),
% 2.62/0.72 inference(split_clause,[status(thm)],[f147,f495,f502])).
% 2.62/0.72 fof(f506,plain,(
% 2.62/0.72 spl0_42 <=> equivalence_2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f509,plain,(
% 2.62/0.72 spl0_43 <=> is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f512,plain,(
% 2.62/0.72 ~spl0_42|spl0_43),
% 2.62/0.72 inference(split_clause,[status(thm)],[f150,f506,f509])).
% 2.62/0.72 fof(f513,plain,(
% 2.62/0.72 spl0_44 <=> is_a_theorem(implies(equiv(sk0_28,sk0_29),implies(sk0_29,sk0_28)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f515,plain,(
% 2.62/0.72 ~is_a_theorem(implies(equiv(sk0_28,sk0_29),implies(sk0_29,sk0_28)))|spl0_44),
% 2.62/0.72 inference(component_clause,[status(thm)],[f513])).
% 2.62/0.72 fof(f516,plain,(
% 2.62/0.72 spl0_42|~spl0_44),
% 2.62/0.72 inference(split_clause,[status(thm)],[f151,f506,f513])).
% 2.62/0.72 fof(f517,plain,(
% 2.62/0.72 spl0_45 <=> equivalence_3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f519,plain,(
% 2.62/0.72 ~equivalence_3|spl0_45),
% 2.62/0.72 inference(component_clause,[status(thm)],[f517])).
% 2.62/0.72 fof(f520,plain,(
% 2.62/0.72 spl0_46 <=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f521,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))|~spl0_46)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f520])).
% 2.62/0.72 fof(f524,plain,(
% 2.62/0.72 spl0_47 <=> is_a_theorem(implies(implies(sk0_30,sk0_31),implies(implies(sk0_31,sk0_30),equiv(sk0_30,sk0_31))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f526,plain,(
% 2.62/0.72 ~is_a_theorem(implies(implies(sk0_30,sk0_31),implies(implies(sk0_31,sk0_30),equiv(sk0_30,sk0_31))))|spl0_47),
% 2.62/0.72 inference(component_clause,[status(thm)],[f524])).
% 2.62/0.72 fof(f528,plain,(
% 2.62/0.72 spl0_48 <=> kn1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f531,plain,(
% 2.62/0.72 spl0_49 <=> is_a_theorem(implies(X0,and(X0,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f532,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(implies(X0,and(X0,X0)))|~spl0_49)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f531])).
% 2.62/0.72 fof(f535,plain,(
% 2.62/0.72 spl0_50 <=> is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f537,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32)))|spl0_50),
% 2.62/0.72 inference(component_clause,[status(thm)],[f535])).
% 2.62/0.72 fof(f538,plain,(
% 2.62/0.72 spl0_48|~spl0_50),
% 2.62/0.72 inference(split_clause,[status(thm)],[f159,f528,f535])).
% 2.62/0.72 fof(f539,plain,(
% 2.62/0.72 spl0_51 <=> kn2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f543,plain,(
% 2.62/0.72 spl0_52 <=> is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f545,plain,(
% 2.62/0.72 ~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33))|spl0_52),
% 2.62/0.72 inference(component_clause,[status(thm)],[f543])).
% 2.62/0.72 fof(f546,plain,(
% 2.62/0.72 spl0_51|~spl0_52),
% 2.62/0.72 inference(split_clause,[status(thm)],[f163,f539,f543])).
% 2.62/0.72 fof(f558,plain,(
% 2.62/0.72 spl0_56 <=> cn1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f562,plain,(
% 2.62/0.72 spl0_57 <=> is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f564,plain,(
% 2.62/0.72 ~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))|spl0_57),
% 2.62/0.72 inference(component_clause,[status(thm)],[f562])).
% 2.62/0.72 fof(f565,plain,(
% 2.62/0.72 spl0_56|~spl0_57),
% 2.62/0.72 inference(split_clause,[status(thm)],[f171,f558,f562])).
% 2.62/0.72 fof(f566,plain,(
% 2.62/0.72 spl0_58 <=> cn2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f569,plain,(
% 2.62/0.72 spl0_59 <=> is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f570,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_59)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f569])).
% 2.62/0.72 fof(f572,plain,(
% 2.62/0.72 ~spl0_58|spl0_59),
% 2.62/0.72 inference(split_clause,[status(thm)],[f174,f566,f569])).
% 2.62/0.72 fof(f573,plain,(
% 2.62/0.72 spl0_60 <=> is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f575,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42)))|spl0_60),
% 2.62/0.72 inference(component_clause,[status(thm)],[f573])).
% 2.62/0.72 fof(f576,plain,(
% 2.62/0.72 spl0_58|~spl0_60),
% 2.62/0.72 inference(split_clause,[status(thm)],[f175,f566,f573])).
% 2.62/0.72 fof(f577,plain,(
% 2.62/0.72 spl0_61 <=> cn3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f580,plain,(
% 2.62/0.72 spl0_62 <=> is_a_theorem(implies(implies(not(X0),X0),X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f583,plain,(
% 2.62/0.72 ~spl0_61|spl0_62),
% 2.62/0.72 inference(split_clause,[status(thm)],[f178,f577,f580])).
% 2.62/0.72 fof(f584,plain,(
% 2.62/0.72 spl0_63 <=> is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f586,plain,(
% 2.62/0.72 ~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))|spl0_63),
% 2.62/0.72 inference(component_clause,[status(thm)],[f584])).
% 2.62/0.72 fof(f587,plain,(
% 2.62/0.72 spl0_61|~spl0_63),
% 2.62/0.72 inference(split_clause,[status(thm)],[f179,f577,f584])).
% 2.62/0.72 fof(f588,plain,(
% 2.62/0.72 spl0_64 <=> r1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f591,plain,(
% 2.62/0.72 spl0_65 <=> is_a_theorem(implies(or(X0,X0),X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f592,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(implies(or(X0,X0),X0))|~spl0_65)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f591])).
% 2.62/0.72 fof(f594,plain,(
% 2.62/0.72 ~spl0_64|spl0_65),
% 2.62/0.72 inference(split_clause,[status(thm)],[f182,f588,f591])).
% 2.62/0.72 fof(f595,plain,(
% 2.62/0.72 spl0_66 <=> is_a_theorem(implies(or(sk0_44,sk0_44),sk0_44))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f597,plain,(
% 2.62/0.72 ~is_a_theorem(implies(or(sk0_44,sk0_44),sk0_44))|spl0_66),
% 2.62/0.72 inference(component_clause,[status(thm)],[f595])).
% 2.62/0.72 fof(f598,plain,(
% 2.62/0.72 spl0_64|~spl0_66),
% 2.62/0.72 inference(split_clause,[status(thm)],[f183,f588,f595])).
% 2.62/0.72 fof(f599,plain,(
% 2.62/0.72 spl0_67 <=> r2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f603,plain,(
% 2.62/0.72 spl0_68 <=> is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f605,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46)))|spl0_68),
% 2.62/0.72 inference(component_clause,[status(thm)],[f603])).
% 2.62/0.72 fof(f606,plain,(
% 2.62/0.72 spl0_67|~spl0_68),
% 2.62/0.72 inference(split_clause,[status(thm)],[f187,f599,f603])).
% 2.62/0.72 fof(f607,plain,(
% 2.62/0.72 spl0_69 <=> r3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f610,plain,(
% 2.62/0.72 spl0_70 <=> is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f611,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0)))|~spl0_70)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f610])).
% 2.62/0.72 fof(f614,plain,(
% 2.62/0.72 spl0_71 <=> is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f616,plain,(
% 2.62/0.72 ~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))|spl0_71),
% 2.62/0.72 inference(component_clause,[status(thm)],[f614])).
% 2.62/0.72 fof(f617,plain,(
% 2.62/0.72 spl0_69|~spl0_71),
% 2.62/0.72 inference(split_clause,[status(thm)],[f191,f607,f614])).
% 2.62/0.72 fof(f640,plain,(
% 2.62/0.72 spl0_78 <=> op_or),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f642,plain,(
% 2.62/0.72 ~op_or|spl0_78),
% 2.62/0.72 inference(component_clause,[status(thm)],[f640])).
% 2.62/0.72 fof(f643,plain,(
% 2.62/0.72 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f644,plain,(
% 2.62/0.72 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f643])).
% 2.62/0.72 fof(f646,plain,(
% 2.62/0.72 ~spl0_78|spl0_79),
% 2.62/0.72 inference(split_clause,[status(thm)],[f201,f640,f643])).
% 2.62/0.72 fof(f654,plain,(
% 2.62/0.72 spl0_82 <=> op_implies_and),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f656,plain,(
% 2.62/0.72 ~op_implies_and|spl0_82),
% 2.62/0.72 inference(component_clause,[status(thm)],[f654])).
% 2.62/0.72 fof(f657,plain,(
% 2.62/0.72 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f658,plain,(
% 2.62/0.72 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f657])).
% 2.62/0.72 fof(f660,plain,(
% 2.62/0.72 ~spl0_82|spl0_83),
% 2.62/0.72 inference(split_clause,[status(thm)],[f205,f654,f657])).
% 2.62/0.72 fof(f664,plain,(
% 2.62/0.72 spl0_85 <=> implies(X0,X1)=or(not(X0),X1)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f665,plain,(
% 2.62/0.72 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1)|~spl0_85)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f664])).
% 2.62/0.72 fof(f668,plain,(
% 2.62/0.72 spl0_86 <=> op_equiv),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f670,plain,(
% 2.62/0.72 ~op_equiv|spl0_86),
% 2.62/0.72 inference(component_clause,[status(thm)],[f668])).
% 2.62/0.72 fof(f671,plain,(
% 2.62/0.72 spl0_87 <=> equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f672,plain,(
% 2.62/0.72 ![X0,X1]: (equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))|~spl0_87)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f671])).
% 2.62/0.72 fof(f674,plain,(
% 2.62/0.72 ~spl0_86|spl0_87),
% 2.62/0.72 inference(split_clause,[status(thm)],[f209,f668,f671])).
% 2.62/0.72 fof(f675,plain,(
% 2.62/0.72 spl0_88 <=> necessitation),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f677,plain,(
% 2.62/0.72 ~necessitation|spl0_88),
% 2.62/0.72 inference(component_clause,[status(thm)],[f675])).
% 2.62/0.72 fof(f678,plain,(
% 2.62/0.72 spl0_89 <=> ~is_a_theorem(X0)|is_a_theorem(necessarily(X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f679,plain,(
% 2.62/0.72 ![X0]: (~is_a_theorem(X0)|is_a_theorem(necessarily(X0))|~spl0_89)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f678])).
% 2.62/0.72 fof(f681,plain,(
% 2.62/0.72 ~spl0_88|spl0_89),
% 2.62/0.72 inference(split_clause,[status(thm)],[f231,f675,f678])).
% 2.62/0.72 fof(f690,plain,(
% 2.62/0.72 spl0_92 <=> modus_ponens_strict_implies),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f693,plain,(
% 2.62/0.72 spl0_93 <=> ~is_a_theorem(X0)|~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(X1)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f694,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(X1)|~spl0_93)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f693])).
% 2.62/0.72 fof(f696,plain,(
% 2.62/0.72 ~spl0_92|spl0_93),
% 2.62/0.72 inference(split_clause,[status(thm)],[f238,f690,f693])).
% 2.62/0.72 fof(f697,plain,(
% 2.62/0.72 spl0_94 <=> is_a_theorem(sk0_57)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f700,plain,(
% 2.62/0.72 spl0_92|spl0_94),
% 2.62/0.72 inference(split_clause,[status(thm)],[f239,f690,f697])).
% 2.62/0.72 fof(f701,plain,(
% 2.62/0.72 spl0_95 <=> is_a_theorem(strict_implies(sk0_57,sk0_56))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f702,plain,(
% 2.62/0.72 is_a_theorem(strict_implies(sk0_57,sk0_56))|~spl0_95),
% 2.62/0.72 inference(component_clause,[status(thm)],[f701])).
% 2.62/0.72 fof(f703,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(sk0_57,sk0_56))|spl0_95),
% 2.62/0.72 inference(component_clause,[status(thm)],[f701])).
% 2.62/0.72 fof(f704,plain,(
% 2.62/0.72 spl0_92|spl0_95),
% 2.62/0.72 inference(split_clause,[status(thm)],[f240,f690,f701])).
% 2.62/0.72 fof(f705,plain,(
% 2.62/0.72 spl0_96 <=> is_a_theorem(sk0_56)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f707,plain,(
% 2.62/0.72 ~is_a_theorem(sk0_56)|spl0_96),
% 2.62/0.72 inference(component_clause,[status(thm)],[f705])).
% 2.62/0.72 fof(f708,plain,(
% 2.62/0.72 spl0_92|~spl0_96),
% 2.62/0.72 inference(split_clause,[status(thm)],[f241,f690,f705])).
% 2.62/0.72 fof(f709,plain,(
% 2.62/0.72 spl0_97 <=> adjunction),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f712,plain,(
% 2.62/0.72 spl0_98 <=> ~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(and(X0,X1))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f713,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(and(X0,X1))|~spl0_98)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f712])).
% 2.62/0.72 fof(f715,plain,(
% 2.62/0.72 ~spl0_97|spl0_98),
% 2.62/0.72 inference(split_clause,[status(thm)],[f245,f709,f712])).
% 2.62/0.72 fof(f716,plain,(
% 2.62/0.72 spl0_99 <=> is_a_theorem(sk0_58)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f719,plain,(
% 2.62/0.72 spl0_97|spl0_99),
% 2.62/0.72 inference(split_clause,[status(thm)],[f246,f709,f716])).
% 2.62/0.72 fof(f720,plain,(
% 2.62/0.72 spl0_100 <=> is_a_theorem(sk0_59)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f723,plain,(
% 2.62/0.72 spl0_97|spl0_100),
% 2.62/0.72 inference(split_clause,[status(thm)],[f247,f709,f720])).
% 2.62/0.72 fof(f724,plain,(
% 2.62/0.72 spl0_101 <=> is_a_theorem(and(sk0_58,sk0_59))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f726,plain,(
% 2.62/0.72 ~is_a_theorem(and(sk0_58,sk0_59))|spl0_101),
% 2.62/0.72 inference(component_clause,[status(thm)],[f724])).
% 2.62/0.72 fof(f727,plain,(
% 2.62/0.72 spl0_97|~spl0_101),
% 2.62/0.72 inference(split_clause,[status(thm)],[f248,f709,f724])).
% 2.62/0.72 fof(f728,plain,(
% 2.62/0.72 spl0_102 <=> substitution_strict_equiv),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f731,plain,(
% 2.62/0.72 spl0_103 <=> ~is_a_theorem(strict_equiv(X0,X1))|X0=X1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f732,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(strict_equiv(X0,X1))|X0=X1|~spl0_103)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f731])).
% 2.62/0.72 fof(f734,plain,(
% 2.62/0.72 ~spl0_102|spl0_103),
% 2.62/0.72 inference(split_clause,[status(thm)],[f252,f728,f731])).
% 2.62/0.72 fof(f735,plain,(
% 2.62/0.72 spl0_104 <=> is_a_theorem(strict_equiv(sk0_60,sk0_61))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f736,plain,(
% 2.62/0.72 is_a_theorem(strict_equiv(sk0_60,sk0_61))|~spl0_104),
% 2.62/0.72 inference(component_clause,[status(thm)],[f735])).
% 2.62/0.72 fof(f737,plain,(
% 2.62/0.72 ~is_a_theorem(strict_equiv(sk0_60,sk0_61))|spl0_104),
% 2.62/0.72 inference(component_clause,[status(thm)],[f735])).
% 2.62/0.72 fof(f738,plain,(
% 2.62/0.72 spl0_102|spl0_104),
% 2.62/0.72 inference(split_clause,[status(thm)],[f253,f728,f735])).
% 2.62/0.72 fof(f739,plain,(
% 2.62/0.72 spl0_105 <=> sk0_60=sk0_61),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f740,plain,(
% 2.62/0.72 sk0_60=sk0_61|~spl0_105),
% 2.62/0.72 inference(component_clause,[status(thm)],[f739])).
% 2.62/0.72 fof(f741,plain,(
% 2.62/0.72 ~sk0_60=sk0_61|spl0_105),
% 2.62/0.72 inference(component_clause,[status(thm)],[f739])).
% 2.62/0.72 fof(f742,plain,(
% 2.62/0.72 spl0_102|~spl0_105),
% 2.62/0.72 inference(split_clause,[status(thm)],[f254,f728,f739])).
% 2.62/0.72 fof(f743,plain,(
% 2.62/0.72 spl0_106 <=> axiom_K),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f745,plain,(
% 2.62/0.72 ~axiom_K|spl0_106),
% 2.62/0.72 inference(component_clause,[status(thm)],[f743])).
% 2.62/0.72 fof(f746,plain,(
% 2.62/0.72 spl0_107 <=> is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f747,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))|~spl0_107)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f746])).
% 2.62/0.72 fof(f749,plain,(
% 2.62/0.72 ~spl0_106|spl0_107),
% 2.62/0.72 inference(split_clause,[status(thm)],[f257,f743,f746])).
% 2.62/0.72 fof(f750,plain,(
% 2.62/0.72 spl0_108 <=> is_a_theorem(implies(necessarily(implies(sk0_62,sk0_63)),implies(necessarily(sk0_62),necessarily(sk0_63))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f752,plain,(
% 2.62/0.72 ~is_a_theorem(implies(necessarily(implies(sk0_62,sk0_63)),implies(necessarily(sk0_62),necessarily(sk0_63))))|spl0_108),
% 2.62/0.72 inference(component_clause,[status(thm)],[f750])).
% 2.62/0.72 fof(f754,plain,(
% 2.62/0.72 spl0_109 <=> axiom_M),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f756,plain,(
% 2.62/0.72 ~axiom_M|spl0_109),
% 2.62/0.72 inference(component_clause,[status(thm)],[f754])).
% 2.62/0.72 fof(f757,plain,(
% 2.62/0.72 spl0_110 <=> is_a_theorem(implies(necessarily(X0),X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f758,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(implies(necessarily(X0),X0))|~spl0_110)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f757])).
% 2.62/0.72 fof(f760,plain,(
% 2.62/0.72 ~spl0_109|spl0_110),
% 2.62/0.72 inference(split_clause,[status(thm)],[f261,f754,f757])).
% 2.62/0.72 fof(f761,plain,(
% 2.62/0.72 spl0_111 <=> is_a_theorem(implies(necessarily(sk0_64),sk0_64))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f763,plain,(
% 2.62/0.72 ~is_a_theorem(implies(necessarily(sk0_64),sk0_64))|spl0_111),
% 2.62/0.72 inference(component_clause,[status(thm)],[f761])).
% 2.62/0.72 fof(f787,plain,(
% 2.62/0.72 spl0_118 <=> axiom_5),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f789,plain,(
% 2.62/0.72 ~axiom_5|spl0_118),
% 2.62/0.72 inference(component_clause,[status(thm)],[f787])).
% 2.62/0.72 fof(f790,plain,(
% 2.62/0.72 spl0_119 <=> is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f791,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))|~spl0_119)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f790])).
% 2.62/0.72 fof(f793,plain,(
% 2.62/0.72 ~spl0_118|spl0_119),
% 2.62/0.72 inference(split_clause,[status(thm)],[f273,f787,f790])).
% 2.62/0.72 fof(f794,plain,(
% 2.62/0.72 spl0_120 <=> is_a_theorem(implies(possibly(sk0_67),necessarily(possibly(sk0_67))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f796,plain,(
% 2.62/0.72 ~is_a_theorem(implies(possibly(sk0_67),necessarily(possibly(sk0_67))))|spl0_120),
% 2.62/0.72 inference(component_clause,[status(thm)],[f794])).
% 2.62/0.72 fof(f798,plain,(
% 2.62/0.72 spl0_121 <=> axiom_s1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f801,plain,(
% 2.62/0.72 spl0_122 <=> is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f802,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))|~spl0_122)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f801])).
% 2.62/0.72 fof(f804,plain,(
% 2.62/0.72 ~spl0_121|spl0_122),
% 2.62/0.72 inference(split_clause,[status(thm)],[f277,f798,f801])).
% 2.62/0.72 fof(f805,plain,(
% 2.62/0.72 spl0_123 <=> is_a_theorem(implies(and(necessarily(implies(sk0_68,sk0_69)),necessarily(implies(sk0_69,sk0_70))),necessarily(implies(sk0_68,sk0_70))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f807,plain,(
% 2.62/0.72 ~is_a_theorem(implies(and(necessarily(implies(sk0_68,sk0_69)),necessarily(implies(sk0_69,sk0_70))),necessarily(implies(sk0_68,sk0_70))))|spl0_123),
% 2.62/0.72 inference(component_clause,[status(thm)],[f805])).
% 2.62/0.72 fof(f808,plain,(
% 2.62/0.72 spl0_121|~spl0_123),
% 2.62/0.72 inference(split_clause,[status(thm)],[f278,f798,f805])).
% 2.62/0.72 fof(f820,plain,(
% 2.62/0.72 spl0_127 <=> axiom_s3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f823,plain,(
% 2.62/0.72 spl0_128 <=> is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0)))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f826,plain,(
% 2.62/0.72 ~spl0_127|spl0_128),
% 2.62/0.72 inference(split_clause,[status(thm)],[f285,f820,f823])).
% 2.62/0.72 fof(f827,plain,(
% 2.62/0.72 spl0_129 <=> is_a_theorem(strict_implies(strict_implies(sk0_73,sk0_74),strict_implies(not(possibly(sk0_74)),not(possibly(sk0_73)))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f829,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(strict_implies(sk0_73,sk0_74),strict_implies(not(possibly(sk0_74)),not(possibly(sk0_73)))))|spl0_129),
% 2.62/0.72 inference(component_clause,[status(thm)],[f827])).
% 2.62/0.72 fof(f830,plain,(
% 2.62/0.72 spl0_127|~spl0_129),
% 2.62/0.72 inference(split_clause,[status(thm)],[f286,f820,f827])).
% 2.62/0.72 fof(f842,plain,(
% 2.62/0.72 spl0_133 <=> axiom_m1),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f843,plain,(
% 2.62/0.72 axiom_m1|~spl0_133),
% 2.62/0.72 inference(component_clause,[status(thm)],[f842])).
% 2.62/0.72 fof(f845,plain,(
% 2.62/0.72 spl0_134 <=> is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f846,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))|~spl0_134)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f845])).
% 2.62/0.72 fof(f849,plain,(
% 2.62/0.72 spl0_135 <=> is_a_theorem(strict_implies(and(sk0_76,sk0_77),and(sk0_77,sk0_76)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f851,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(and(sk0_76,sk0_77),and(sk0_77,sk0_76)))|spl0_135),
% 2.62/0.72 inference(component_clause,[status(thm)],[f849])).
% 2.62/0.72 fof(f852,plain,(
% 2.62/0.72 spl0_133|~spl0_135),
% 2.62/0.72 inference(split_clause,[status(thm)],[f294,f842,f849])).
% 2.62/0.72 fof(f853,plain,(
% 2.62/0.72 spl0_136 <=> axiom_m2),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f856,plain,(
% 2.62/0.72 spl0_137 <=> is_a_theorem(strict_implies(and(X0,X1),X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f857,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),X0))|~spl0_137)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f856])).
% 2.62/0.72 fof(f860,plain,(
% 2.62/0.72 spl0_138 <=> is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f862,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78))|spl0_138),
% 2.62/0.72 inference(component_clause,[status(thm)],[f860])).
% 2.62/0.72 fof(f863,plain,(
% 2.62/0.72 spl0_136|~spl0_138),
% 2.62/0.72 inference(split_clause,[status(thm)],[f298,f853,f860])).
% 2.62/0.72 fof(f864,plain,(
% 2.62/0.72 spl0_139 <=> axiom_m3),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f867,plain,(
% 2.62/0.72 spl0_140 <=> is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f870,plain,(
% 2.62/0.72 ~spl0_139|spl0_140),
% 2.62/0.72 inference(split_clause,[status(thm)],[f301,f864,f867])).
% 2.62/0.72 fof(f871,plain,(
% 2.62/0.72 spl0_141 <=> is_a_theorem(strict_implies(and(and(sk0_80,sk0_81),sk0_82),and(sk0_80,and(sk0_81,sk0_82))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f873,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(and(and(sk0_80,sk0_81),sk0_82),and(sk0_80,and(sk0_81,sk0_82))))|spl0_141),
% 2.62/0.72 inference(component_clause,[status(thm)],[f871])).
% 2.62/0.72 fof(f874,plain,(
% 2.62/0.72 spl0_139|~spl0_141),
% 2.62/0.72 inference(split_clause,[status(thm)],[f302,f864,f871])).
% 2.62/0.72 fof(f875,plain,(
% 2.62/0.72 spl0_142 <=> axiom_m4),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f878,plain,(
% 2.62/0.72 spl0_143 <=> is_a_theorem(strict_implies(X0,and(X0,X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f879,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_implies(X0,and(X0,X0)))|~spl0_143)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f878])).
% 2.62/0.72 fof(f882,plain,(
% 2.62/0.72 spl0_144 <=> is_a_theorem(strict_implies(sk0_83,and(sk0_83,sk0_83)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f884,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(sk0_83,and(sk0_83,sk0_83)))|spl0_144),
% 2.62/0.72 inference(component_clause,[status(thm)],[f882])).
% 2.62/0.72 fof(f885,plain,(
% 2.62/0.72 spl0_142|~spl0_144),
% 2.62/0.72 inference(split_clause,[status(thm)],[f306,f875,f882])).
% 2.62/0.72 fof(f886,plain,(
% 2.62/0.72 spl0_145 <=> axiom_m5),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f889,plain,(
% 2.62/0.72 spl0_146 <=> is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f890,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))|~spl0_146)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f889])).
% 2.62/0.72 fof(f893,plain,(
% 2.62/0.72 spl0_147 <=> is_a_theorem(strict_implies(and(strict_implies(sk0_84,sk0_85),strict_implies(sk0_85,sk0_86)),strict_implies(sk0_84,sk0_86)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f895,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(and(strict_implies(sk0_84,sk0_85),strict_implies(sk0_85,sk0_86)),strict_implies(sk0_84,sk0_86)))|spl0_147),
% 2.62/0.72 inference(component_clause,[status(thm)],[f893])).
% 2.62/0.72 fof(f896,plain,(
% 2.62/0.72 spl0_145|~spl0_147),
% 2.62/0.72 inference(split_clause,[status(thm)],[f310,f886,f893])).
% 2.62/0.72 fof(f897,plain,(
% 2.62/0.72 spl0_148 <=> axiom_m6),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f900,plain,(
% 2.62/0.72 spl0_149 <=> is_a_theorem(strict_implies(X0,possibly(X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f903,plain,(
% 2.62/0.72 ~spl0_148|spl0_149),
% 2.62/0.72 inference(split_clause,[status(thm)],[f313,f897,f900])).
% 2.62/0.72 fof(f904,plain,(
% 2.62/0.72 spl0_150 <=> is_a_theorem(strict_implies(sk0_87,possibly(sk0_87)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f906,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(sk0_87,possibly(sk0_87)))|spl0_150),
% 2.62/0.72 inference(component_clause,[status(thm)],[f904])).
% 2.62/0.72 fof(f907,plain,(
% 2.62/0.72 spl0_148|~spl0_150),
% 2.62/0.72 inference(split_clause,[status(thm)],[f314,f897,f904])).
% 2.62/0.72 fof(f919,plain,(
% 2.62/0.72 spl0_154 <=> axiom_m8),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f922,plain,(
% 2.62/0.72 spl0_155 <=> is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f925,plain,(
% 2.62/0.72 ~spl0_154|spl0_155),
% 2.62/0.72 inference(split_clause,[status(thm)],[f321,f919,f922])).
% 2.62/0.72 fof(f926,plain,(
% 2.62/0.72 spl0_156 <=> is_a_theorem(strict_implies(strict_implies(sk0_90,sk0_91),strict_implies(possibly(sk0_90),possibly(sk0_91))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f928,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(strict_implies(sk0_90,sk0_91),strict_implies(possibly(sk0_90),possibly(sk0_91))))|spl0_156),
% 2.62/0.72 inference(component_clause,[status(thm)],[f926])).
% 2.62/0.72 fof(f929,plain,(
% 2.62/0.72 spl0_154|~spl0_156),
% 2.62/0.72 inference(split_clause,[status(thm)],[f322,f919,f926])).
% 2.62/0.72 fof(f941,plain,(
% 2.62/0.72 spl0_160 <=> axiom_m10),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f944,plain,(
% 2.62/0.72 spl0_161 <=> is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f945,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))|~spl0_161)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f944])).
% 2.62/0.72 fof(f948,plain,(
% 2.62/0.72 spl0_162 <=> is_a_theorem(strict_implies(possibly(sk0_93),necessarily(possibly(sk0_93))))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f950,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(possibly(sk0_93),necessarily(possibly(sk0_93))))|spl0_162),
% 2.62/0.72 inference(component_clause,[status(thm)],[f948])).
% 2.62/0.72 fof(f951,plain,(
% 2.62/0.72 spl0_160|~spl0_162),
% 2.62/0.72 inference(split_clause,[status(thm)],[f330,f941,f948])).
% 2.62/0.72 fof(f952,plain,(
% 2.62/0.72 spl0_163 <=> op_possibly),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f954,plain,(
% 2.62/0.72 ~op_possibly|spl0_163),
% 2.62/0.72 inference(component_clause,[status(thm)],[f952])).
% 2.62/0.72 fof(f955,plain,(
% 2.62/0.72 spl0_164 <=> possibly(X0)=not(necessarily(not(X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f956,plain,(
% 2.62/0.72 ![X0]: (possibly(X0)=not(necessarily(not(X0)))|~spl0_164)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f955])).
% 2.62/0.72 fof(f958,plain,(
% 2.62/0.72 ~spl0_163|spl0_164),
% 2.62/0.72 inference(split_clause,[status(thm)],[f332,f952,f955])).
% 2.62/0.72 fof(f959,plain,(
% 2.62/0.72 spl0_165 <=> op_necessarily),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f962,plain,(
% 2.62/0.72 spl0_166 <=> necessarily(X0)=not(possibly(not(X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f963,plain,(
% 2.62/0.72 ![X0]: (necessarily(X0)=not(possibly(not(X0)))|~spl0_166)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f962])).
% 2.62/0.72 fof(f965,plain,(
% 2.62/0.72 ~spl0_165|spl0_166),
% 2.62/0.72 inference(split_clause,[status(thm)],[f334,f959,f962])).
% 2.62/0.72 fof(f966,plain,(
% 2.62/0.72 spl0_167 <=> op_strict_implies),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f968,plain,(
% 2.62/0.72 ~op_strict_implies|spl0_167),
% 2.62/0.72 inference(component_clause,[status(thm)],[f966])).
% 2.62/0.72 fof(f969,plain,(
% 2.62/0.72 spl0_168 <=> strict_implies(X0,X1)=necessarily(implies(X0,X1))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f970,plain,(
% 2.62/0.72 ![X0,X1]: (strict_implies(X0,X1)=necessarily(implies(X0,X1))|~spl0_168)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f969])).
% 2.62/0.72 fof(f972,plain,(
% 2.62/0.72 ~spl0_167|spl0_168),
% 2.62/0.72 inference(split_clause,[status(thm)],[f336,f966,f969])).
% 2.62/0.72 fof(f973,plain,(
% 2.62/0.72 spl0_169 <=> op_strict_equiv),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f975,plain,(
% 2.62/0.72 ~op_strict_equiv|spl0_169),
% 2.62/0.72 inference(component_clause,[status(thm)],[f973])).
% 2.62/0.72 fof(f976,plain,(
% 2.62/0.72 spl0_170 <=> strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f977,plain,(
% 2.62/0.72 ![X0,X1]: (strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0))|~spl0_170)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f976])).
% 2.62/0.72 fof(f979,plain,(
% 2.62/0.72 ~spl0_169|spl0_170),
% 2.62/0.72 inference(split_clause,[status(thm)],[f338,f973,f976])).
% 2.62/0.72 fof(f980,plain,(
% 2.62/0.72 $false|spl0_169),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f975,f349])).
% 2.62/0.72 fof(f981,plain,(
% 2.62/0.72 spl0_169),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f980])).
% 2.62/0.72 fof(f982,plain,(
% 2.62/0.72 $false|spl0_0),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f353,f213])).
% 2.62/0.72 fof(f983,plain,(
% 2.62/0.72 spl0_0),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f982])).
% 2.62/0.72 fof(f984,plain,(
% 2.62/0.72 $false|spl0_88),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f677,f340])).
% 2.62/0.72 fof(f985,plain,(
% 2.62/0.72 spl0_88),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f984])).
% 2.62/0.72 fof(f986,plain,(
% 2.62/0.72 $false|spl0_5),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f372,f227])).
% 2.62/0.72 fof(f987,plain,(
% 2.62/0.72 spl0_5),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f986])).
% 2.62/0.72 fof(f988,plain,(
% 2.62/0.72 $false|spl0_167),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f968,f347])).
% 2.62/0.72 fof(f989,plain,(
% 2.62/0.72 spl0_167),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f988])).
% 2.62/0.72 fof(f990,plain,(
% 2.62/0.72 $false|spl0_163),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f954,f339])).
% 2.62/0.72 fof(f991,plain,(
% 2.62/0.72 spl0_163),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f990])).
% 2.62/0.72 fof(f992,plain,(
% 2.62/0.72 $false|spl0_86),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f670,f212])).
% 2.62/0.72 fof(f993,plain,(
% 2.62/0.72 spl0_86),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f992])).
% 2.62/0.72 fof(f994,plain,(
% 2.62/0.72 $false|spl0_82),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f656,f211])).
% 2.62/0.72 fof(f995,plain,(
% 2.62/0.72 spl0_82),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f994])).
% 2.62/0.72 fof(f996,plain,(
% 2.62/0.72 $false|spl0_78),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f642,f210])).
% 2.62/0.72 fof(f997,plain,(
% 2.62/0.72 spl0_78),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f996])).
% 2.62/0.72 fof(f1004,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))|~spl0_22|~spl0_87)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f672,f433])).
% 2.62/0.72 fof(f1008,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))|~spl0_25|~spl0_87)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f672,f444])).
% 2.62/0.72 fof(f1009,plain,(
% 2.62/0.72 $false|~spl0_110|spl0_111),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f763,f758])).
% 2.62/0.72 fof(f1010,plain,(
% 2.62/0.72 ~spl0_110|spl0_111),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1009])).
% 2.62/0.72 fof(f1011,plain,(
% 2.62/0.72 $false|spl0_109),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f756,f342])).
% 2.62/0.72 fof(f1012,plain,(
% 2.62/0.72 spl0_109),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1011])).
% 2.62/0.72 fof(f1014,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(strict_implies(X0,X1))|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f970,f679])).
% 2.62/0.72 fof(f1020,plain,(
% 2.62/0.72 $false|~spl0_143|spl0_144),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f884,f879])).
% 2.62/0.72 fof(f1021,plain,(
% 2.62/0.72 ~spl0_143|spl0_144),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1020])).
% 2.62/0.72 fof(f1022,plain,(
% 2.62/0.72 $false|~spl0_137|spl0_138),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f862,f857])).
% 2.62/0.72 fof(f1023,plain,(
% 2.62/0.72 ~spl0_137|spl0_138),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1022])).
% 2.62/0.72 fof(f1026,plain,(
% 2.62/0.72 $false|~spl0_34|spl0_68),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f605,f477])).
% 2.62/0.72 fof(f1027,plain,(
% 2.62/0.72 ~spl0_34|spl0_68),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1026])).
% 2.62/0.72 fof(f1028,plain,(
% 2.62/0.72 $false|spl0_33),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f475,f222])).
% 2.62/0.72 fof(f1029,plain,(
% 2.62/0.72 spl0_33),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1028])).
% 2.62/0.72 fof(f1032,plain,(
% 2.62/0.72 $false|~spl0_22|spl0_52),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f545,f433])).
% 2.62/0.72 fof(f1033,plain,(
% 2.62/0.72 ~spl0_22|spl0_52),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1032])).
% 2.62/0.72 fof(f1034,plain,(
% 2.62/0.72 $false|spl0_21),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f431,f218])).
% 2.62/0.72 fof(f1035,plain,(
% 2.62/0.72 spl0_21),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1034])).
% 2.62/0.72 fof(f1036,plain,(
% 2.62/0.72 $false|~spl0_146|spl0_147),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f895,f890])).
% 2.62/0.72 fof(f1037,plain,(
% 2.62/0.72 ~spl0_146|spl0_147),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1036])).
% 2.62/0.72 fof(f1038,plain,(
% 2.62/0.72 $false|~spl0_134|spl0_135),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f851,f846])).
% 2.62/0.72 fof(f1039,plain,(
% 2.62/0.72 ~spl0_134|spl0_135),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1038])).
% 2.62/0.72 fof(f1040,plain,(
% 2.62/0.72 ~is_a_theorem(implies(and(strict_implies(sk0_68,sk0_69),necessarily(implies(sk0_69,sk0_70))),necessarily(implies(sk0_68,sk0_70))))|~spl0_168|spl0_123),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f807])).
% 2.62/0.72 fof(f1041,plain,(
% 2.62/0.72 ~is_a_theorem(implies(and(strict_implies(sk0_68,sk0_69),strict_implies(sk0_69,sk0_70)),necessarily(implies(sk0_68,sk0_70))))|~spl0_168|spl0_123),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f1040])).
% 2.62/0.72 fof(f1042,plain,(
% 2.62/0.72 ~is_a_theorem(implies(and(strict_implies(sk0_68,sk0_69),strict_implies(sk0_69,sk0_70)),strict_implies(sk0_68,sk0_70)))|~spl0_168|spl0_123),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f1041])).
% 2.62/0.72 fof(f1044,plain,(
% 2.62/0.72 $false|~spl0_49|spl0_50),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f537,f532])).
% 2.62/0.72 fof(f1045,plain,(
% 2.62/0.72 ~spl0_49|spl0_50),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1044])).
% 2.62/0.72 fof(f1046,plain,(
% 2.62/0.72 $false|~spl0_31|spl0_32),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f471,f466])).
% 2.62/0.72 fof(f1047,plain,(
% 2.62/0.72 ~spl0_31|spl0_32),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1046])).
% 2.62/0.72 fof(f1048,plain,(
% 2.62/0.72 $false|spl0_30),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f464,f221])).
% 2.62/0.72 fof(f1049,plain,(
% 2.62/0.72 spl0_30),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1048])).
% 2.62/0.72 fof(f1050,plain,(
% 2.62/0.72 $false|~spl0_25|spl0_26),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f449,f444])).
% 2.62/0.72 fof(f1051,plain,(
% 2.62/0.72 ~spl0_25|spl0_26),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1050])).
% 2.62/0.72 fof(f1052,plain,(
% 2.62/0.72 $false|spl0_24),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f442,f219])).
% 2.62/0.72 fof(f1053,plain,(
% 2.62/0.72 spl0_24),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1052])).
% 2.62/0.72 fof(f1055,plain,(
% 2.62/0.72 $false|~spl0_13|spl0_14),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f405,f400])).
% 2.62/0.72 fof(f1056,plain,(
% 2.62/0.72 ~spl0_13|spl0_14),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1055])).
% 2.62/0.72 fof(f1057,plain,(
% 2.62/0.72 $false|spl0_12),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f398,f215])).
% 2.62/0.72 fof(f1058,plain,(
% 2.62/0.72 spl0_12),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1057])).
% 2.62/0.72 fof(f1059,plain,(
% 2.62/0.72 $false|~spl0_161|spl0_162),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f950,f945])).
% 2.62/0.72 fof(f1060,plain,(
% 2.62/0.72 ~spl0_161|spl0_162),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1059])).
% 2.62/0.72 fof(f1065,plain,(
% 2.62/0.72 $false|~spl0_119|spl0_120),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f796,f791])).
% 2.62/0.72 fof(f1066,plain,(
% 2.62/0.72 ~spl0_119|spl0_120),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1065])).
% 2.62/0.72 fof(f1067,plain,(
% 2.62/0.72 $false|spl0_118),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f789,f343])).
% 2.62/0.72 fof(f1068,plain,(
% 2.62/0.72 spl0_118),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1067])).
% 2.62/0.72 fof(f1073,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))|~spl0_28|~spl0_87)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f672,f455])).
% 2.62/0.72 fof(f1078,plain,(
% 2.62/0.72 ![X0]: (~is_a_theorem(necessarily(X0))|is_a_theorem(X0)|~spl0_1|~spl0_110)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f758])).
% 2.62/0.72 fof(f1079,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(and(X0,X1))|is_a_theorem(X1)|~spl0_1|~spl0_25)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f444])).
% 2.62/0.72 fof(f1080,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(and(X0,X1))|is_a_theorem(X0)|~spl0_1|~spl0_22)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f433])).
% 2.62/0.72 fof(f1081,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1))|~spl0_1|~spl0_59)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f570])).
% 2.62/0.72 fof(f1082,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,and(X0,X1)))|~spl0_1|~spl0_28)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f455])).
% 2.62/0.72 fof(f1083,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))|~spl0_1|~spl0_13)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f400])).
% 2.62/0.72 fof(f1084,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(or(X0,X1))|~spl0_1|~spl0_31)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f466])).
% 2.62/0.72 fof(f1085,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(or(X1,X0))|~spl0_1|~spl0_34)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f477])).
% 2.62/0.72 fof(f1086,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(implies(X0,X1))|~spl0_1|~spl0_110|~spl0_168)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f970,f1078])).
% 2.62/0.72 fof(f1090,plain,(
% 2.62/0.72 spl0_171 <=> ~is_a_theorem(X0)|is_a_theorem(X0)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f1093,plain,(
% 2.62/0.72 spl0_172 <=> ~is_a_theorem(X1)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f1094,plain,(
% 2.62/0.72 ![X0]: (~is_a_theorem(X0)|~spl0_172)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f1093])).
% 2.62/0.72 fof(f1096,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(X0)|~spl0_13|~spl0_1)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1083,f355])).
% 2.62/0.72 fof(f1097,plain,(
% 2.62/0.72 spl0_171|spl0_172|~spl0_13|~spl0_1),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1096,f1090,f1093,f399,f354])).
% 2.62/0.72 fof(f1099,plain,(
% 2.62/0.72 spl0_173 <=> ~is_a_theorem(X0)|~is_a_theorem(not(X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f1102,plain,(
% 2.62/0.72 spl0_174 <=> is_a_theorem(X1)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f1103,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(X0)|~spl0_174)),
% 2.62/0.72 inference(component_clause,[status(thm)],[f1102])).
% 2.62/0.72 fof(f1105,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(not(X0))|is_a_theorem(X1)|~spl0_59|~spl0_1)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1081,f355])).
% 2.62/0.72 fof(f1106,plain,(
% 2.62/0.72 spl0_173|spl0_174|~spl0_59|~spl0_1),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1105,f1099,f1102,f569,f354])).
% 2.62/0.72 fof(f1107,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(necessarily(not(X0)))|is_a_theorem(implies(possibly(X0),X1))|~spl0_1|~spl0_59|~spl0_164)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f956,f1081])).
% 2.62/0.72 fof(f1108,plain,(
% 2.62/0.72 $false|~spl0_22|spl0_23),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f438,f433])).
% 2.62/0.72 fof(f1109,plain,(
% 2.62/0.72 ~spl0_22|spl0_23),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1108])).
% 2.62/0.72 fof(f1110,plain,(
% 2.62/0.72 $false|~spl0_34|spl0_35),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f482,f477])).
% 2.62/0.72 fof(f1111,plain,(
% 2.62/0.72 ~spl0_34|spl0_35),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1110])).
% 2.62/0.72 fof(f1112,plain,(
% 2.62/0.72 $false|~spl0_174|~spl0_168|spl0_123),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f1042,f1103])).
% 2.62/0.72 fof(f1113,plain,(
% 2.62/0.72 ~spl0_174|~spl0_168|spl0_123),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1112])).
% 2.62/0.72 fof(f1115,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(implies(X0,X1))|~spl0_1|~spl0_110|~spl0_168)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f970,f1078])).
% 2.62/0.72 fof(f1116,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(strict_implies(X0,X1))|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f970,f679])).
% 2.62/0.72 fof(f1124,plain,(
% 2.62/0.72 ~is_a_theorem(implies(strict_implies(sk0_62,sk0_63),implies(necessarily(sk0_62),necessarily(sk0_63))))|~spl0_168|spl0_108),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f752])).
% 2.62/0.72 fof(f1154,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),X0))|~spl0_89|~spl0_168|~spl0_22)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1014,f433])).
% 2.62/0.72 fof(f1155,plain,(
% 2.62/0.72 spl0_137|~spl0_89|~spl0_168|~spl0_22),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1154,f856,f678,f969,f432])).
% 2.62/0.72 fof(f1156,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),X1))|~spl0_89|~spl0_168|~spl0_25)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1014,f444])).
% 2.62/0.72 fof(f1158,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(strict_implies(X0,or(X1,X0)))|~spl0_89|~spl0_168|~spl0_34)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1014,f477])).
% 2.62/0.72 fof(f1161,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(strict_implies(X0,X1))|~is_a_theorem(X1)|~spl0_89|~spl0_168|~spl0_1|~spl0_13)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1014,f1083])).
% 2.62/0.72 fof(f1168,plain,(
% 2.62/0.72 $false|~spl0_19|spl0_20),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f427,f422])).
% 2.62/0.72 fof(f1169,plain,(
% 2.62/0.72 ~spl0_19|spl0_20),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1168])).
% 2.62/0.72 fof(f1170,plain,(
% 2.62/0.72 $false|spl0_18),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f420,f217])).
% 2.62/0.72 fof(f1171,plain,(
% 2.62/0.72 spl0_18),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1170])).
% 2.62/0.72 fof(f1172,plain,(
% 2.62/0.72 $false|~spl0_19|spl0_57),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f564,f422])).
% 2.62/0.72 fof(f1173,plain,(
% 2.62/0.72 ~spl0_19|spl0_57),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1172])).
% 2.62/0.72 fof(f1181,plain,(
% 2.62/0.72 $false|~spl0_22|~spl0_87|spl0_41),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f504,f1004])).
% 2.62/0.72 fof(f1182,plain,(
% 2.62/0.72 ~spl0_22|~spl0_87|spl0_41),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1181])).
% 2.62/0.72 fof(f1184,plain,(
% 2.62/0.72 $false|~spl0_25|~spl0_87|spl0_44),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f515,f1008])).
% 2.62/0.72 fof(f1185,plain,(
% 2.62/0.72 ~spl0_25|~spl0_87|spl0_44),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1184])).
% 2.62/0.72 fof(f1192,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))|~spl0_119|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(resolution,[status(thm)],[f791,f1014])).
% 2.62/0.72 fof(f1193,plain,(
% 2.62/0.72 spl0_161|~spl0_119|~spl0_89|~spl0_168),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1192,f944,f790,f678,f969])).
% 2.62/0.72 fof(f1210,plain,(
% 2.62/0.72 is_a_theorem(implies(sk0_57,sk0_56))|~spl0_1|~spl0_110|~spl0_168|~spl0_95),
% 2.62/0.72 inference(resolution,[status(thm)],[f1086,f702])).
% 2.62/0.72 fof(f1219,plain,(
% 2.62/0.72 ~is_a_theorem(sk0_57)|is_a_theorem(sk0_56)|~spl0_1|~spl0_110|~spl0_168|~spl0_95),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f1210])).
% 2.62/0.72 fof(f1220,plain,(
% 2.62/0.72 ~spl0_94|spl0_96|~spl0_1|~spl0_110|~spl0_168|~spl0_95),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1219,f697,f705,f354,f757,f969,f701])).
% 2.62/0.72 fof(f1226,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(and(X1,X0))|~is_a_theorem(X1)|~spl0_1|~spl0_28)),
% 2.62/0.72 inference(resolution,[status(thm)],[f355,f1082])).
% 2.62/0.72 fof(f1245,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(implies(and(strict_implies(X0,X1),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))|~spl0_168|~spl0_122)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f802])).
% 2.62/0.72 fof(f1246,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),necessarily(implies(X0,X2))))|~spl0_168|~spl0_122)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f1245])).
% 2.62/0.72 fof(f1247,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))|~spl0_168|~spl0_122)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f1246])).
% 2.62/0.72 fof(f1248,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(strict_implies(X0,X1),implies(necessarily(X0),necessarily(X1))))|~spl0_168|~spl0_107)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f970,f747])).
% 2.62/0.72 fof(f1296,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(strict_equiv(X0,X1))|is_a_theorem(strict_implies(X0,X1))|~spl0_1|~spl0_22|~spl0_170)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f977,f1080])).
% 2.62/0.72 fof(f1297,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(strict_equiv(X0,X1))|is_a_theorem(strict_implies(X1,X0))|~spl0_1|~spl0_25|~spl0_170)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f977,f1079])).
% 2.62/0.72 fof(f1301,plain,(
% 2.62/0.72 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_83|~spl0_79)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f658,f644])).
% 2.62/0.72 fof(f1303,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0)))|~spl0_83|~spl0_79|~spl0_10)),
% 2.62/0.72 inference(backward_demodulation,[status(thm)],[f1301,f389])).
% 2.62/0.72 fof(f1340,plain,(
% 2.62/0.72 ![X0,X1]: (strict_implies(not(X0),X1)=necessarily(or(X0,X1))|~spl0_168|~spl0_83|~spl0_79)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f1301,f970])).
% 2.62/0.72 fof(f1345,plain,(
% 2.62/0.72 ~is_a_theorem(and(sk0_77,sk0_76))|spl0_135|~spl0_89|~spl0_168|~spl0_1|~spl0_13),
% 2.62/0.72 inference(resolution,[status(thm)],[f851,f1161])).
% 2.62/0.72 fof(f1365,plain,(
% 2.62/0.72 ![X0,X1]: (or(possibly(not(X0)),X1)=implies(necessarily(X0),X1)|~spl0_83|~spl0_79|~spl0_166)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f963,f1301])).
% 2.62/0.72 fof(f1453,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(strict_implies(implies(X0,implies(X0,X1)),implies(X0,X1)))|~spl0_89|~spl0_168|~spl0_16)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1116,f411])).
% 2.62/0.72 fof(f1458,plain,(
% 2.62/0.72 ![X0,X1,X2]: (is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))|~spl0_89|~spl0_168|~spl0_122)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1116,f1247])).
% 2.62/0.72 fof(f1459,plain,(
% 2.62/0.72 spl0_146|~spl0_89|~spl0_168|~spl0_122),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1458,f889,f678,f969,f801])).
% 2.62/0.72 fof(f1478,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_89|~spl0_168|~spl0_16|~spl0_93)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1453,f694])).
% 2.62/0.72 fof(f1512,plain,(
% 2.62/0.72 ~is_a_theorem(sk0_56)|spl0_95|~spl0_89|~spl0_168|~spl0_1|~spl0_13),
% 2.62/0.72 inference(resolution,[status(thm)],[f703,f1161])).
% 2.62/0.72 fof(f1513,plain,(
% 2.62/0.72 ~spl0_96|spl0_95|~spl0_89|~spl0_168|~spl0_1|~spl0_13),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1512,f705,f701,f678,f969,f354,f399])).
% 2.62/0.72 fof(f1514,plain,(
% 2.62/0.72 ~is_a_theorem(implies(or(sk0_43,sk0_43),sk0_43))|~spl0_83|~spl0_79|spl0_63),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f1301,f586])).
% 2.62/0.72 fof(f1560,plain,(
% 2.62/0.72 spl0_177 <=> is_a_theorem(sk0_76)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f1563,plain,(
% 2.62/0.72 spl0_178 <=> is_a_theorem(sk0_77)),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f1566,plain,(
% 2.62/0.72 ~is_a_theorem(sk0_76)|~is_a_theorem(sk0_77)|~spl0_28|spl0_135|~spl0_89|~spl0_168|~spl0_1|~spl0_13),
% 2.62/0.72 inference(resolution,[status(thm)],[f1226,f1345])).
% 2.62/0.72 fof(f1567,plain,(
% 2.62/0.72 ~spl0_177|~spl0_178|~spl0_28|spl0_135|~spl0_89|~spl0_168|~spl0_1|~spl0_13),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1566,f1560,f1563,f454,f849,f678,f969,f354,f399])).
% 2.62/0.72 fof(f1568,plain,(
% 2.62/0.72 ~is_a_theorem(sk0_59)|~is_a_theorem(sk0_58)|~spl0_1|~spl0_28|spl0_101),
% 2.62/0.72 inference(resolution,[status(thm)],[f1226,f726])).
% 2.62/0.72 fof(f1569,plain,(
% 2.62/0.72 ~spl0_100|~spl0_99|~spl0_1|~spl0_28|spl0_101),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1568,f720,f716,f354,f454,f724])).
% 2.62/0.72 fof(f1641,plain,(
% 2.62/0.72 $false|spl0_27),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f453,f220])).
% 2.62/0.72 fof(f1642,plain,(
% 2.62/0.72 spl0_27),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1641])).
% 2.62/0.72 fof(f1645,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_41,or(sk0_41,sk0_42)))|~spl0_83|~spl0_79|spl0_60),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f1301,f575])).
% 2.62/0.72 fof(f1646,plain,(
% 2.62/0.72 $false|~spl0_31|~spl0_83|~spl0_79|spl0_60),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1645,f466])).
% 2.62/0.72 fof(f1647,plain,(
% 2.62/0.72 ~spl0_31|~spl0_83|~spl0_79|spl0_60),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1646])).
% 2.62/0.72 fof(f1682,plain,(
% 2.62/0.72 is_a_theorem(strict_implies(sk0_60,sk0_61))|~spl0_1|~spl0_22|~spl0_170|~spl0_104),
% 2.62/0.72 inference(resolution,[status(thm)],[f1296,f736])).
% 2.62/0.72 fof(f1683,plain,(
% 2.62/0.72 is_a_theorem(implies(sk0_60,sk0_61))|~spl0_22|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168),
% 2.62/0.72 inference(resolution,[status(thm)],[f1682,f1115])).
% 2.62/0.72 fof(f1695,plain,(
% 2.62/0.72 is_a_theorem(strict_implies(sk0_61,sk0_60))|~spl0_1|~spl0_25|~spl0_170|~spl0_104),
% 2.62/0.72 inference(resolution,[status(thm)],[f1297,f736])).
% 2.62/0.72 fof(f1696,plain,(
% 2.62/0.72 is_a_theorem(implies(sk0_61,sk0_60))|~spl0_25|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168),
% 2.62/0.72 inference(resolution,[status(thm)],[f1695,f1115])).
% 2.62/0.72 fof(f1734,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(not(X0))|~is_a_theorem(necessarily(or(X0,X1)))|is_a_theorem(X1)|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f1340,f694])).
% 2.62/0.72 fof(f1739,plain,(
% 2.62/0.72 $false|~spl0_70|spl0_71),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f616,f611])).
% 2.62/0.72 fof(f1740,plain,(
% 2.62/0.72 ~spl0_70|spl0_71),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1739])).
% 2.62/0.72 fof(f1743,plain,(
% 2.62/0.72 ~is_a_theorem(implies(or(sk0_5,not(sk0_4)),implies(sk0_4,sk0_5)))|~spl0_83|~spl0_79|spl0_11),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f1301,f394])).
% 2.62/0.72 fof(f1745,plain,(
% 2.62/0.72 $false|~spl0_16|spl0_17),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f416,f411])).
% 2.62/0.72 fof(f1746,plain,(
% 2.62/0.72 ~spl0_16|spl0_17),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1745])).
% 2.62/0.72 fof(f1747,plain,(
% 2.62/0.72 $false|spl0_15),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f409,f216])).
% 2.62/0.72 fof(f1748,plain,(
% 2.62/0.72 spl0_15),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1747])).
% 2.62/0.72 fof(f1749,plain,(
% 2.62/0.72 $false|~spl0_37|spl0_38),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f493,f488])).
% 2.62/0.72 fof(f1750,plain,(
% 2.62/0.72 ~spl0_37|spl0_38),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1749])).
% 2.62/0.72 fof(f1751,plain,(
% 2.62/0.72 $false|spl0_36),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f486,f223])).
% 2.62/0.72 fof(f1752,plain,(
% 2.62/0.72 spl0_36),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1751])).
% 2.62/0.72 fof(f1753,plain,(
% 2.62/0.72 $false|~spl0_46|spl0_47),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f526,f521])).
% 2.62/0.72 fof(f1754,plain,(
% 2.62/0.72 ~spl0_46|spl0_47),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1753])).
% 2.62/0.72 fof(f1755,plain,(
% 2.62/0.72 spl0_46|~spl0_28|~spl0_87),
% 2.62/0.72 inference(split_clause,[status(thm)],[f1073,f520,f454,f671])).
% 2.62/0.72 fof(f1758,plain,(
% 2.62/0.72 $false|spl0_45),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f519,f226])).
% 2.62/0.72 fof(f1759,plain,(
% 2.62/0.72 spl0_45),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1758])).
% 2.62/0.72 fof(f1764,plain,(
% 2.62/0.72 $false|~spl0_107|~spl0_168|spl0_108),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1124,f1248])).
% 2.62/0.72 fof(f1765,plain,(
% 2.62/0.72 ~spl0_107|~spl0_168|spl0_108),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1764])).
% 2.62/0.72 fof(f1766,plain,(
% 2.62/0.72 $false|spl0_106),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f745,f341])).
% 2.62/0.72 fof(f1767,plain,(
% 2.62/0.72 spl0_106),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1766])).
% 2.62/0.72 fof(f1796,plain,(
% 2.62/0.72 $false|~spl0_10|~spl0_83|~spl0_79|spl0_11),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f1743,f1303])).
% 2.62/0.72 fof(f1797,plain,(
% 2.62/0.72 ~spl0_10|~spl0_83|~spl0_79|spl0_11),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1796])).
% 2.62/0.72 fof(f1798,plain,(
% 2.62/0.72 $false|spl0_9),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f387,f214])).
% 2.62/0.72 fof(f1799,plain,(
% 2.62/0.72 spl0_9),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f1798])).
% 2.62/0.72 fof(f1802,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(or(X0,not(X1)))|is_a_theorem(implies(X1,X0))|~spl0_83|~spl0_79|~spl0_10|~spl0_1)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1303,f355])).
% 2.62/0.72 fof(f1807,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(or(X0,not(not(X1))),or(X1,X0)))|~spl0_10|~spl0_83|~spl0_79)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f1301,f1303])).
% 2.62/0.72 fof(f1851,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(strict_implies(X0,X1))|~is_a_theorem(strict_implies(X1,X0))|is_a_theorem(strict_equiv(X0,X1))|~spl0_98|~spl0_170)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f977,f713])).
% 2.62/0.72 fof(f1852,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(equiv(X0,X1))|~spl0_98|~spl0_87)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f672,f713])).
% 2.62/0.72 fof(f2108,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(possibly(not(X0)))|is_a_theorem(implies(necessarily(X0),X1))|~spl0_1|~spl0_31|~spl0_83|~spl0_79|~spl0_166)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f1365,f1084])).
% 2.62/0.72 fof(f2256,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(not(X0))|~spl0_83|~spl0_79|~spl0_10|~spl0_1|~spl0_34)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1802,f1085])).
% 2.62/0.72 fof(f2273,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(not(X0))|is_a_theorem(strict_implies(X0,X1))|~spl0_83|~spl0_79|~spl0_10|~spl0_1|~spl0_34|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(resolution,[status(thm)],[f2256,f1116])).
% 2.62/0.72 fof(f2285,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(not(not(X0)))|is_a_theorem(necessarily(or(X0,X1)))|~spl0_10|~spl0_1|~spl0_34|~spl0_89|~spl0_168|~spl0_83|~spl0_79)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f1340,f2273])).
% 2.62/0.72 fof(f2376,plain,(
% 2.62/0.72 ![X0,X1]: (X0=X1|~spl0_174|~spl0_6)),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f374,f1103])).
% 2.62/0.72 fof(f2377,plain,(
% 2.62/0.72 $false|~spl0_174|spl0_96),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f707,f1103])).
% 2.62/0.72 fof(f2378,plain,(
% 2.62/0.72 ~spl0_174|spl0_96),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f2377])).
% 2.62/0.72 fof(f2379,plain,(
% 2.62/0.72 $false|~spl0_174|spl0_141),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f873,f1103])).
% 2.62/0.72 fof(f2380,plain,(
% 2.62/0.72 ~spl0_174|spl0_141),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f2379])).
% 2.62/0.72 fof(f2399,plain,(
% 2.62/0.72 $false|~spl0_174|spl0_150),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f906,f1103])).
% 2.62/0.72 fof(f2400,plain,(
% 2.62/0.72 ~spl0_174|spl0_150),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f2399])).
% 2.62/0.72 fof(f2458,plain,(
% 2.62/0.72 $false|~spl0_172|~spl0_137),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f857,f1094])).
% 2.62/0.72 fof(f2459,plain,(
% 2.62/0.72 ~spl0_172|~spl0_137),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f2458])).
% 2.62/0.72 fof(f3000,plain,(
% 2.62/0.72 spl0_195 <=> ~is_a_theorem(necessarily(not(X0)))|~is_a_theorem(possibly(X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f3005,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(necessarily(not(X0)))|~is_a_theorem(possibly(X0))|is_a_theorem(X1)|~spl0_59|~spl0_164|~spl0_1)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1107,f355])).
% 2.62/0.72 fof(f3006,plain,(
% 2.62/0.72 spl0_195|spl0_174|~spl0_59|~spl0_164|~spl0_1),
% 2.62/0.72 inference(split_clause,[status(thm)],[f3005,f3000,f1102,f569,f955,f354])).
% 2.62/0.72 fof(f3018,plain,(
% 2.62/0.72 $false|~spl0_174|spl0_129),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f829,f1103])).
% 2.62/0.72 fof(f3019,plain,(
% 2.62/0.72 ~spl0_174|spl0_129),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f3018])).
% 2.62/0.72 fof(f3020,plain,(
% 2.62/0.72 $false|~spl0_174|spl0_156),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f928,f1103])).
% 2.62/0.72 fof(f3021,plain,(
% 2.62/0.72 ~spl0_174|spl0_156),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f3020])).
% 2.62/0.72 fof(f3160,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(or(X0,X0),X1)))|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1478,f488])).
% 2.62/0.72 fof(f3162,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(implies(X0,and(X0,X0)))|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_28)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1478,f455])).
% 2.62/0.72 fof(f3163,plain,(
% 2.62/0.72 spl0_49|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_28),
% 2.62/0.72 inference(split_clause,[status(thm)],[f3162,f531,f678,f969,f410,f693,f454])).
% 2.62/0.72 fof(f3164,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_13)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1478,f400])).
% 2.62/0.72 fof(f3173,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_implies(X0,X0))|~spl0_16|~spl0_93|~spl0_13|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(resolution,[status(thm)],[f3164,f1116])).
% 2.62/0.72 fof(f3196,plain,(
% 2.62/0.72 ![X0]: (~is_a_theorem(X0)|is_a_theorem(and(X0,X0))|~spl0_49|~spl0_1)),
% 2.62/0.72 inference(resolution,[status(thm)],[f532,f355])).
% 2.62/0.72 fof(f3197,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_implies(X0,and(X0,X0)))|~spl0_49|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(resolution,[status(thm)],[f532,f1116])).
% 2.62/0.72 fof(f3198,plain,(
% 2.62/0.72 spl0_143|~spl0_49|~spl0_89|~spl0_168),
% 2.62/0.72 inference(split_clause,[status(thm)],[f3197,f878,f531,f678,f969])).
% 2.62/0.72 fof(f3223,plain,(
% 2.62/0.72 ![X0]: (~is_a_theorem(strict_implies(X0,X0))|is_a_theorem(strict_equiv(X0,X0))|~spl0_49|~spl0_1|~spl0_170)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f977,f3196])).
% 2.62/0.72 fof(f3224,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_equiv(X0,X0))|~spl0_16|~spl0_93|~spl0_13|~spl0_89|~spl0_168|~spl0_49|~spl0_1|~spl0_170)),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f3223,f3173])).
% 2.62/0.72 fof(f3756,plain,(
% 2.62/0.72 spl0_200 <=> ~is_a_theorem(possibly(not(X0)))|~is_a_theorem(necessarily(X0))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f3761,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(possibly(not(X0)))|~is_a_theorem(necessarily(X0))|is_a_theorem(X1)|~spl0_31|~spl0_83|~spl0_79|~spl0_166|~spl0_1)),
% 2.62/0.72 inference(resolution,[status(thm)],[f2108,f355])).
% 2.62/0.72 fof(f3762,plain,(
% 2.62/0.72 spl0_200|spl0_174|~spl0_31|~spl0_83|~spl0_79|~spl0_166|~spl0_1),
% 2.62/0.72 inference(split_clause,[status(thm)],[f3761,f3756,f1102,f465,f657,f643,f962,f354])).
% 2.62/0.72 fof(f3892,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(or(X0,X0),X1))|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37|~spl0_1)),
% 2.62/0.72 inference(resolution,[status(thm)],[f3160,f355])).
% 2.62/0.72 fof(f3975,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_44,sk0_44))|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37|~spl0_1|spl0_66),
% 2.62/0.72 inference(resolution,[status(thm)],[f3892,f597])).
% 2.62/0.72 fof(f3976,plain,(
% 2.62/0.72 $false|~spl0_13|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37|~spl0_1|spl0_66),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f3975,f3164])).
% 2.62/0.72 fof(f3977,plain,(
% 2.62/0.72 ~spl0_13|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37|~spl0_1|spl0_66),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f3976])).
% 2.62/0.72 fof(f3978,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_43,sk0_43))|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 2.62/0.72 inference(resolution,[status(thm)],[f3892,f1514])).
% 2.62/0.72 fof(f3979,plain,(
% 2.62/0.72 $false|~spl0_13|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f3978,f3164])).
% 2.62/0.72 fof(f3980,plain,(
% 2.62/0.72 ~spl0_13|~spl0_89|~spl0_168|~spl0_16|~spl0_93|~spl0_37|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f3979])).
% 2.62/0.72 fof(f3992,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_implies(or(X0,X0),X0))|~spl0_65|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(resolution,[status(thm)],[f592,f1116])).
% 2.62/0.72 fof(f4166,plain,(
% 2.62/0.72 spl0_201 <=> ~is_a_theorem(not(X0))|~is_a_theorem(not(not(X0)))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f4169,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(not(X0))|is_a_theorem(X1)|~is_a_theorem(not(not(X0)))|~spl0_93|~spl0_10|~spl0_1|~spl0_34|~spl0_89|~spl0_168|~spl0_83|~spl0_79)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1734,f2285])).
% 2.62/0.72 fof(f4170,plain,(
% 2.62/0.72 spl0_201|spl0_174|~spl0_93|~spl0_10|~spl0_1|~spl0_34|~spl0_89|~spl0_168|~spl0_83|~spl0_79),
% 2.62/0.72 inference(split_clause,[status(thm)],[f4169,f4166,f1102,f693,f388,f354,f476,f678,f969,f657,f643])).
% 2.62/0.72 fof(f4203,plain,(
% 2.62/0.72 $false|~spl0_174|~spl0_6|spl0_105),
% 2.62/0.72 inference(backward_subsumption_resolution,[status(thm)],[f741,f2376])).
% 2.62/0.72 fof(f4204,plain,(
% 2.62/0.72 ~spl0_174|~spl0_6|spl0_105),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f4203])).
% 2.62/0.72 fof(f4883,plain,(
% 2.62/0.72 ![X0]: (~is_a_theorem(strict_implies(X0,or(X0,X0)))|is_a_theorem(strict_equiv(X0,or(X0,X0)))|~spl0_98|~spl0_170|~spl0_65|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1851,f3992])).
% 2.62/0.72 fof(f4884,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_equiv(X0,or(X0,X0)))|~spl0_34|~spl0_98|~spl0_170|~spl0_65|~spl0_89|~spl0_168)),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4883,f1158])).
% 2.62/0.72 fof(f4890,plain,(
% 2.62/0.72 spl0_202 <=> is_a_theorem(strict_implies(sk0_60,sk0_61))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f4892,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(sk0_60,sk0_61))|spl0_202),
% 2.62/0.72 inference(component_clause,[status(thm)],[f4890])).
% 2.62/0.72 fof(f4895,plain,(
% 2.62/0.72 spl0_203 <=> is_a_theorem(strict_implies(sk0_61,sk0_60))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f4897,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(sk0_61,sk0_60))|spl0_203),
% 2.62/0.72 inference(component_clause,[status(thm)],[f4895])).
% 2.62/0.72 fof(f4925,plain,(
% 2.62/0.72 ![X0]: (~is_a_theorem(strict_implies(and(X0,X0),X0))|is_a_theorem(strict_equiv(and(X0,X0),X0))|~spl0_98|~spl0_170|~spl0_143)),
% 2.62/0.72 inference(resolution,[status(thm)],[f1851,f879])).
% 2.62/0.72 fof(f4926,plain,(
% 2.62/0.72 ![X0]: (is_a_theorem(strict_equiv(and(X0,X0),X0))|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143)),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4925,f1156])).
% 2.62/0.72 fof(f4937,plain,(
% 2.62/0.72 $false|~spl0_1|~spl0_25|~spl0_170|~spl0_104|spl0_203),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4897,f1695])).
% 2.62/0.72 fof(f4938,plain,(
% 2.62/0.72 ~spl0_1|~spl0_25|~spl0_170|~spl0_104|spl0_203),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f4937])).
% 2.62/0.72 fof(f4939,plain,(
% 2.62/0.72 ~is_a_theorem(strict_equiv(sk0_60,sk0_60))|~spl0_105|spl0_104),
% 2.62/0.72 inference(backward_demodulation,[status(thm)],[f740,f737])).
% 2.62/0.72 fof(f4940,plain,(
% 2.62/0.72 $false|~spl0_16|~spl0_93|~spl0_13|~spl0_89|~spl0_168|~spl0_49|~spl0_1|~spl0_170|~spl0_105|spl0_104),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4939,f3224])).
% 2.62/0.72 fof(f4941,plain,(
% 2.62/0.72 ~spl0_16|~spl0_93|~spl0_13|~spl0_89|~spl0_168|~spl0_49|~spl0_1|~spl0_170|~spl0_105|spl0_104),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f4940])).
% 2.62/0.72 fof(f5176,plain,(
% 2.62/0.72 ![X0]: (X0=or(X0,X0)|~spl0_34|~spl0_98|~spl0_170|~spl0_65|~spl0_89|~spl0_168|~spl0_103)),
% 2.62/0.72 inference(resolution,[status(thm)],[f4884,f732])).
% 2.62/0.72 fof(f5259,plain,(
% 2.62/0.72 ![X0]: (and(X0,X0)=X0|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103)),
% 2.62/0.72 inference(resolution,[status(thm)],[f4926,f732])).
% 2.62/0.72 fof(f5277,plain,(
% 2.62/0.72 ![X0]: (implies(not(X0),X0)=not(not(X0))|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f5259,f658])).
% 2.62/0.72 fof(f5278,plain,(
% 2.62/0.72 ![X0]: (or(X0,X0)=not(not(X0))|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f1301,f5277])).
% 2.62/0.72 fof(f5279,plain,(
% 2.62/0.72 ![X0]: (X0=not(not(X0))|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f5176,f5278])).
% 2.62/0.72 fof(f5314,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0)))|~spl0_34|~spl0_65|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103|~spl0_10|~spl0_83|~spl0_79)),
% 2.62/0.72 inference(backward_demodulation,[status(thm)],[f5279,f1807])).
% 2.62/0.72 fof(f5315,plain,(
% 2.62/0.72 spl0_70|~spl0_34|~spl0_65|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103|~spl0_10|~spl0_83|~spl0_79),
% 2.62/0.72 inference(split_clause,[status(thm)],[f5314,f610,f476,f591,f678,f969,f443,f712,f976,f878,f731,f388,f657,f643])).
% 2.62/0.72 fof(f5317,plain,(
% 2.62/0.72 ![X0,X1]: (and(X0,not(X1))=not(implies(X0,X1))|~spl0_34|~spl0_65|~spl0_79|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103|~spl0_83)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f658,f5279])).
% 2.62/0.72 fof(f5318,plain,(
% 2.62/0.72 ![X0]: (necessarily(not(X0))=not(possibly(X0))|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103|~spl0_164)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f956,f5279])).
% 2.62/0.72 fof(f5326,plain,(
% 2.62/0.72 ![X0,X1]: (or(not(X0),X1)=implies(X0,X1)|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f5279,f1301])).
% 2.62/0.72 fof(f5327,plain,(
% 2.62/0.72 spl0_85|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103),
% 2.62/0.72 inference(split_clause,[status(thm)],[f5326,f664,f476,f591,f643,f657,f678,f969,f443,f712,f976,f878,f731])).
% 2.62/0.72 fof(f5408,plain,(
% 2.62/0.72 ![X0,X1]: (~is_a_theorem(implies(or(X0,X1),or(X1,X0)))|is_a_theorem(equiv(or(X0,X1),or(X1,X0)))|~spl0_70|~spl0_98|~spl0_87)),
% 2.62/0.72 inference(resolution,[status(thm)],[f611,f1852])).
% 2.62/0.72 fof(f5409,plain,(
% 2.62/0.72 ![X0,X1]: (is_a_theorem(equiv(or(X0,X1),or(X1,X0)))|~spl0_70|~spl0_98|~spl0_87)),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f5408,f611])).
% 2.62/0.72 fof(f5589,plain,(
% 2.62/0.72 spl0_205 <=> is_a_theorem(implies(sk0_60,sk0_61))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f5591,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_60,sk0_61))|spl0_205),
% 2.62/0.72 inference(component_clause,[status(thm)],[f5589])).
% 2.62/0.72 fof(f5592,plain,(
% 2.62/0.72 spl0_206 <=> is_a_theorem(equiv(sk0_60,sk0_61))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f5593,plain,(
% 2.62/0.72 is_a_theorem(equiv(sk0_60,sk0_61))|~spl0_206),
% 2.62/0.72 inference(component_clause,[status(thm)],[f5592])).
% 2.62/0.72 fof(f5595,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_60,sk0_61))|is_a_theorem(equiv(sk0_60,sk0_61))|~spl0_25|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168|~spl0_98|~spl0_87),
% 2.62/0.72 inference(resolution,[status(thm)],[f1696,f1852])).
% 2.62/0.72 fof(f5596,plain,(
% 2.62/0.72 ~spl0_205|spl0_206|~spl0_25|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168|~spl0_98|~spl0_87),
% 2.62/0.72 inference(split_clause,[status(thm)],[f5595,f5589,f5592,f443,f976,f735,f354,f757,f969,f712,f671])).
% 2.62/0.72 fof(f5601,plain,(
% 2.62/0.72 spl0_207 <=> is_a_theorem(implies(sk0_61,sk0_60))),
% 2.62/0.72 introduced(split_symbol_definition)).
% 2.62/0.72 fof(f5603,plain,(
% 2.62/0.72 ~is_a_theorem(implies(sk0_61,sk0_60))|spl0_207),
% 2.62/0.72 inference(component_clause,[status(thm)],[f5601])).
% 2.62/0.72 fof(f5614,plain,(
% 2.62/0.72 $false|~spl0_25|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168|spl0_207),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f5603,f1696])).
% 2.62/0.72 fof(f5615,plain,(
% 2.62/0.72 ~spl0_25|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168|spl0_207),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f5614])).
% 2.62/0.72 fof(f5622,plain,(
% 2.62/0.72 $false|~spl0_1|~spl0_22|~spl0_170|~spl0_104|spl0_202),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4892,f1682])).
% 2.62/0.72 fof(f5623,plain,(
% 2.62/0.72 ~spl0_1|~spl0_22|~spl0_170|~spl0_104|spl0_202),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f5622])).
% 2.62/0.72 fof(f5624,plain,(
% 2.62/0.72 $false|~spl0_22|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168|spl0_205),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f5591,f1683])).
% 2.62/0.72 fof(f5625,plain,(
% 2.62/0.72 ~spl0_22|~spl0_170|~spl0_104|~spl0_1|~spl0_110|~spl0_168|spl0_205),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f5624])).
% 2.62/0.72 fof(f5626,plain,(
% 2.62/0.72 sk0_60=sk0_61|~spl0_206|~spl0_6),
% 2.62/0.72 inference(resolution,[status(thm)],[f5593,f374])).
% 2.62/0.72 fof(f5627,plain,(
% 2.62/0.72 spl0_105|~spl0_206|~spl0_6),
% 2.62/0.72 inference(split_clause,[status(thm)],[f5626,f739,f5592,f373])).
% 2.62/0.72 fof(f5995,plain,(
% 2.62/0.72 ![X0]: (necessarily(X0)=not(possibly(not(X0)))|~spl0_164|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f5279,f5318])).
% 2.62/0.72 fof(f5996,plain,(
% 2.62/0.72 spl0_166|~spl0_164|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103),
% 2.62/0.72 inference(split_clause,[status(thm)],[f5995,f962,f955,f476,f591,f643,f657,f678,f969,f443,f712,f976,f878,f731])).
% 2.62/0.72 fof(f7920,plain,(
% 2.62/0.72 ![X0,X1]: (or(X0,X1)=or(X1,X0)|~spl0_70|~spl0_98|~spl0_87|~spl0_6)),
% 2.62/0.72 inference(resolution,[status(thm)],[f5409,f374])).
% 2.62/0.72 fof(f7934,plain,(
% 2.62/0.72 ![X0,X1]: (implies(X0,X1)=or(X1,not(X0))|~spl0_70|~spl0_98|~spl0_87|~spl0_6|~spl0_85)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f665,f7920])).
% 2.62/0.72 fof(f8172,plain,(
% 2.62/0.72 ![X0,X1]: (implies(X0,not(X1))=implies(X1,not(X0))|~spl0_70|~spl0_98|~spl0_87|~spl0_6|~spl0_85)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f665,f7934])).
% 2.62/0.72 fof(f8331,plain,(
% 2.62/0.72 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1)))|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_98|~spl0_170|~spl0_143|~spl0_103)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f5279,f5317])).
% 2.62/0.72 fof(f9317,plain,(
% 2.62/0.72 ![X0,X1]: (and(X0,X1)=not(implies(X1,not(X0)))|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_170|~spl0_143|~spl0_103|~spl0_70|~spl0_98|~spl0_87|~spl0_6|~spl0_85)),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f8172,f8331])).
% 2.62/0.72 fof(f9318,plain,(
% 2.62/0.72 ![X0,X1]: (and(X0,X1)=and(X1,X0)|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_170|~spl0_143|~spl0_103|~spl0_70|~spl0_98|~spl0_87|~spl0_6|~spl0_85)),
% 2.62/0.72 inference(forward_demodulation,[status(thm)],[f8331,f9317])).
% 2.62/0.72 fof(f9418,plain,(
% 2.62/0.72 ~is_a_theorem(strict_implies(and(sk0_76,sk0_77),and(sk0_76,sk0_77)))|spl0_135|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_170|~spl0_143|~spl0_103|~spl0_70|~spl0_98|~spl0_87|~spl0_6|~spl0_85),
% 2.62/0.72 inference(paramodulation,[status(thm)],[f9318,f851])).
% 2.62/0.72 fof(f9419,plain,(
% 2.62/0.72 $false|~spl0_16|~spl0_93|~spl0_13|spl0_135|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_170|~spl0_143|~spl0_103|~spl0_70|~spl0_98|~spl0_87|~spl0_6|~spl0_85),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f9418,f3173])).
% 2.62/0.72 fof(f9420,plain,(
% 2.62/0.72 ~spl0_16|~spl0_93|~spl0_13|spl0_135|~spl0_34|~spl0_65|~spl0_79|~spl0_83|~spl0_89|~spl0_168|~spl0_25|~spl0_170|~spl0_143|~spl0_103|~spl0_70|~spl0_98|~spl0_87|~spl0_6|~spl0_85),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f9419])).
% 2.62/0.72 fof(f9491,plain,(
% 2.62/0.72 $false|~spl0_133),
% 2.62/0.72 inference(forward_subsumption_resolution,[status(thm)],[f843,f350])).
% 2.62/0.72 fof(f9492,plain,(
% 2.62/0.72 ~spl0_133),
% 2.62/0.72 inference(contradiction_clause,[status(thm)],[f9491])).
% 2.62/0.72 fof(f9493,plain,(
% 2.62/0.72 $false),
% 2.62/0.72 inference(sat_refutation,[status(thm)],[f357,f376,f391,f402,f413,f424,f435,f446,f457,f468,f479,f490,f501,f505,f512,f516,f538,f546,f565,f572,f576,f583,f587,f594,f598,f606,f617,f646,f660,f674,f681,f696,f700,f704,f708,f715,f719,f723,f727,f734,f738,f742,f749,f760,f793,f804,f808,f826,f830,f852,f863,f870,f874,f885,f896,f903,f907,f925,f929,f951,f958,f965,f972,f979,f981,f983,f985,f987,f989,f991,f993,f995,f997,f1010,f1012,f1021,f1023,f1027,f1029,f1033,f1035,f1037,f1039,f1045,f1047,f1049,f1051,f1053,f1056,f1058,f1060,f1066,f1068,f1097,f1106,f1109,f1111,f1113,f1155,f1169,f1171,f1173,f1182,f1185,f1193,f1220,f1459,f1513,f1567,f1569,f1642,f1647,f1740,f1746,f1748,f1750,f1752,f1754,f1755,f1759,f1765,f1767,f1797,f1799,f2378,f2380,f2400,f2459,f3006,f3019,f3021,f3163,f3198,f3762,f3977,f3980,f4170,f4204,f4938,f4941,f5315,f5327,f5596,f5615,f5623,f5625,f5627,f5996,f9420,f9492])).
% 2.62/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 2.62/0.74 % Elapsed time: 0.390359 seconds
% 2.62/0.74 % CPU time: 2.951082 seconds
% 2.62/0.74 % Total memory used: 125.801 MB
% 2.62/0.74 % Net memory used: 123.804 MB
%------------------------------------------------------------------------------